q = 11: |PGL(2,q)| = 1320, c_q (brute force) = 24 (formula 24), M = 29040  [0s]
subgroup classes of PGL(2,11): 29  [0s]
  |Hbar| =  1320 |H cap Z| =   2 |X| =    319440: affine point: |stab| 2640, |induced| 1320, good False; point (1, 0) of m (orbit 12): |stab| 26620, |induced| 110, good False; line m: |stab| 319440, |induced| 1320, good False; affine line, direction (1, 0): |stab| 2420, |induced| 110, good False
  |Hbar| =  1320 |H cap Z| =  10 |X| =   1597200: affine point: |stab| 13200, |induced| 1320, good False; point (1, 0) of m (orbit 12): |stab| 133100, |induced| 110, good False; line m: |stab| 1597200, |induced| 1320, good False; affine line, direction (1, 0): |stab| 12100, |induced| 110, good False
  |Hbar| =   660 |H cap Z| =   2 |X| =    159720: affine point: |stab| 1320, |induced| 660, good False; point (1, 0) of m (orbit 12): |stab| 13310, |induced| 110, good False; line m: |stab| 159720, |induced| 660, good False; affine line, direction (1, 0): |stab| 1210, |induced| 110, good False
  |Hbar| =   660 |H cap Z| =  10 |X| =    798600: affine point: |stab| 6600, |induced| 660, good False; point (1, 0) of m (orbit 12): |stab| 66550, |induced| 110, good False; line m: |stab| 798600, |induced| 660, good False; affine line, direction (1, 0): |stab| 6050, |induced| 110, good False
  |Hbar| =   110 |H cap Z| =   5 |X| =     66550: affine point: |stab| 550, |induced| 110, good False; point (1, 0) of m (orbit 1): |stab| 66550, |induced| 110, good False; point (1, 1) of m (orbit 11): |stab| 6050, |induced| 55, good False; line m: |stab| 66550, |induced| 110, good False; affine line, direction (1, 0): |stab| 6050, |induced| 55, good False; affine line, direction (1, 1): |stab| 550, |induced| 110, good False
  |Hbar| =   110 |H cap Z| =   5 |X| =     66550: affine point: |stab| 550, |induced| 110, good False; point (1, 0) of m (orbit 1): |stab| 66550, |induced| 55, good False; point (1, 1) of m (orbit 11): |stab| 6050, |induced| 110, good False; line m: |stab| 66550, |induced| 110, good False; affine line, direction (1, 0): |stab| 6050, |induced| 110, good False; affine line, direction (1, 1): |stab| 550, |induced| 55, good False
  |Hbar| =   110 |H cap Z| =  10 |X| =    133100: affine point: |stab| 1100, |induced| 110, good False; point (1, 0) of m (orbit 1): |stab| 133100, |induced| 110, good False; point (1, 1) of m (orbit 11): |stab| 12100, |induced| 110, good False; line m: |stab| 133100, |induced| 110, good False; affine line, direction (1, 0): |stab| 12100, |induced| 110, good False; affine line, direction (1, 1): |stab| 1100, |induced| 110, good False
  |Hbar| =    60 |H cap Z| =  10 |X| =     72600: affine point: |stab| 600, |induced| 60, good False; point (1, 0) of m (orbit 12): |stab| 6050, |induced| 110, good False; line m: |stab| 72600, |induced| 60, good False; affine line, direction (1, 0): |stab| 550, |induced| 110, good False
  |Hbar| =    55 |H cap Z| =   5 |X| =     33275: affine point: |stab| 275, |induced| 55, good False; point (1, 0) of m (orbit 1): |stab| 33275, |induced| 55, good False; point (1, 1) of m (orbit 11): |stab| 3025, |induced| 55, good False; line m: |stab| 33275, |induced| 55, good False; affine line, direction (1, 0): |stab| 3025, |induced| 55, good False; affine line, direction (1, 1): |stab| 275, |induced| 55, good False
  |Hbar| =    55 |H cap Z| =  10 |X| =     66550: affine point: |stab| 550, |induced| 55, good False; point (1, 0) of m (orbit 1): |stab| 66550, |induced| 110, good False; point (1, 1) of m (orbit 11): |stab| 6050, |induced| 110, good False; line m: |stab| 66550, |induced| 55, good False; affine line, direction (1, 0): |stab| 6050, |induced| 110, good False; affine line, direction (1, 1): |stab| 550, |induced| 110, good False
RESULT q = 11: 10 subgroups H (|X| = q^2|H| > M = 29040) tested; good ones: none  [55s]
