PGL(3,4) M = 240: subgroups of order >= M by order
   method E: {240: 252, 288: 420, 360: 168, 480: 252, 576: 105, 960: 42, 2880: 42, 20160: 1, 60480: 1}
   method L: {240: 252, 288: 420, 360: 168, 480: 252, 576: 105, 960: 42, 2880: 42, 20160: 1, 60480: 1}
   good at the base point, E: {240: 102}   L: {240: 102}   -> AGREE
PSL(3,4) M = 80: subgroups of order >= M by order
   method E: {80: 252, 96: 420, 160: 252, 168: 360, 192: 105, 360: 168, 960: 42, 20160: 1}
   method L: {80: 252, 96: 420, 160: 252, 168: 360, 192: 105, 360: 168, 960: 42, 20160: 1}
   good at the base point, E: {80: 252, 96: 150, 160: 150}   L: {80: 252, 96: 150, 160: 150}   -> AGREE
PSIGMAL(3,4) M = 128: subgroups of order >= M by order
   method E: {128: 315, 144: 280, 160: 252, 168: 360, 192: 525, 320: 252, 336: 120, 360: 168, 384: 105, 720: 56, 960: 42, 1920: 42, 20160: 1, 40320: 1}
   method L: {128: 315, 144: 280, 160: 252, 168: 360, 192: 525, 320: 252, 336: 120, 360: 168, 384: 105, 720: 56, 960: 42, 1920: 42, 20160: 1, 40320: 1}
   good at the base point, E: {128: 315, 144: 120, 160: 150, 192: 150, 320: 150}   L: {128: 315, 144: 120, 160: 150, 192: 150, 320: 150}   -> AGREE
PGAMMAL(3,4) M = 384: subgroups of order >= M by order
   method E: {384: 1260, 432: 280, 480: 252, 576: 525, 720: 168, 960: 294, 1152: 105, 1920: 126, 2880: 42, 5760: 42, 20160: 1, 40320: 3, 60480: 1, 120960: 1}
   method L: {384: 1260, 432: 280, 480: 252, 576: 525, 720: 168, 960: 294, 1152: 105, 1920: 126, 2880: 42, 5760: 42, 20160: 1, 40320: 3, 60480: 1, 120960: 1}
   good at the base point, E: {384: 315}   L: {384: 315}   -> AGREE
ALL AGREE
