A5     simple-check: perfect=True; Sylow normalizers: p=2: |N(P)|=12 soluble; p=3: |N(P)|=6 soluble; p=5: |N(P)|=10 soluble
A7     simple-check: perfect=True; Sylow normalizers: p=2: |N(P)|=8 soluble; p=3: |N(P)|=36 soluble; p=5: |N(P)|=20 soluble; p=7: |N(P)|=21 soluble
L2_7   simple-check: perfect=True; Sylow normalizers: p=2: |N(P)|=8 soluble; p=3: |N(P)|=6 soluble; p=7: |N(P)|=21 soluble
L2_8   simple-check: perfect=True; Sylow normalizers: p=2: |N(P)|=56 soluble; p=3: |N(P)|=18 soluble; p=7: |N(P)|=14 soluble
L2_9   simple-check: perfect=True; Sylow normalizers: p=2: |N(P)|=8 soluble; p=3: |N(P)|=36 soluble; p=5: |N(P)|=10 soluble
L2_11  simple-check: perfect=True; Sylow normalizers: p=2: |N(P)|=12 soluble; p=3: |N(P)|=12 soluble; p=5: |N(P)|=10 soluble; p=11: |N(P)|=55 soluble
L2_13  simple-check: perfect=True; Sylow normalizers: p=2: |N(P)|=12 soluble; p=3: |N(P)|=12 soluble; p=7: |N(P)|=14 soluble; p=13: |N(P)|=78 soluble
L2_16  simple-check: perfect=True; Sylow normalizers: p=2: |N(P)|=240 soluble; p=3: |N(P)|=30 soluble; p=5: |N(P)|=30 soluble; p=17: |N(P)|=34 soluble
L2_17  simple-check: perfect=True; Sylow normalizers: p=2: |N(P)|=16 soluble; p=3: |N(P)|=18 soluble; p=17: |N(P)|=136 soluble
L2_19  simple-check: perfect=True; Sylow normalizers: p=2: |N(P)|=12 soluble; p=3: |N(P)|=18 soluble; p=5: |N(P)|=20 soluble; p=19: |N(P)|=171 soluble
L2_23  simple-check: perfect=True; Sylow normalizers: p=2: |N(P)|=8 soluble; p=3: |N(P)|=24 soluble; p=11: |N(P)|=22 soluble; p=23: |N(P)|=253 soluble
L2_27  simple-check: perfect=True; Sylow normalizers: p=2: |N(P)|=12 soluble; p=3: |N(P)|=351 soluble; p=7: |N(P)|=28 soluble; p=13: |N(P)|=26 soluble
Sz8    simple-check: perfect=True; Sylow normalizers: p=2: |N(P)|=448 soluble; p=5: |N(P)|=20 soluble; p=7: |N(P)|=14 soluble; p=13: |N(P)|=52 soluble
