| 1 | ΓL(1,𝔽8)×#837 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | ΓL(1,𝔽8)×#825 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | ΓL(1,𝔽8)×#932 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×ΓL(1,𝔽8)×AGL(1,ℤ/8) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | ΓL(1,𝔽8)×#823 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | ΓL(1,𝔽8)×#1009 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | ΓL(1,𝔽8)×#940 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C7×#5198 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | ΓL(1,𝔽8)×#453 | — | 3 | 1 | no | maximal |
| 10 | C3×#41×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×C3×D4×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 12 | C2×ΓL(1,𝔽8)×#67 | — | 2 | 2 | no | — |
| 13 | ΓL(1,𝔽8)×#239 | — | 2 | 1 | no | — |
| 14 | D3×D4×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 15 | D3×D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 16 | ΓL(1,𝔽8)×#235 | — | 2 | 1 | no | — |
| 17 | ΓL(1,𝔽8)×#235 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×ΓL(1,𝔽8)×D12 | — | 2 | 1 | no | — |
| 19 | C2×ΓL(1,𝔽8)×D12 | C22 | 1 | 1 | yes | characteristic |
| 20 | C3×SD16×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 21 | C3×D8×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 22 | C3×M16×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | ΓL(1,𝔽8)×#214 | — | 2 | 1 | no | — |
| 24 | ΓL(1,𝔽8)×#213 | — | 2 | 1 | no | — |
| 25 | C4×Dic3×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | ΓL(1,𝔽8)×#208 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C7×#1009 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 28 | ΓL(1,𝔽8)×H(5,𝔽2) | — | 3 | 1 | no | — |
| 29 | C3×C7×AGL(1,ℤ/8) | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 30 | C7×#940 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 31 | C7×#932 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 32 | ΓL(1,𝔽8)×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 33 | ΓL(1,𝔽8)×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 34 | ΓL(1,𝔽8)×AGL(1,ℤ/8) | D3 | 1 | 1 | yes | characteristic, complemented |
| 35 | ΓL(1,𝔽8)×#127 | — | 3 | 1 | no | — |
| 36 | C7×#837 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 37 | C7×#825 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 38 | C7×#823 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 39 | ΓL(1,𝔽8)×#104 | — | 3 | 1 | no | — |
| 40 | ΓL(1,𝔽8)×#104 | — | 3 | 1 | no | — |
| 41 | ΓL(1,𝔽8)×#100 | — | 3 | 1 | no | — |
| 42 | C3×#5198 | — | 7 | 1 | no | maximal, Hall |
| 43 | C23×C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 44 | C22×D3×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 45 | C22×D3×ΓL(1,𝔽8) | D4 | 1 | 2 | yes | — |
| 46 | C3×Q8×ΓL(1,𝔽8) | D4 | 1 | 1 | yes | characteristic, complemented |
| 47 | C3×D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 48 | C3×D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 49 | C3×D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 50 | C3×D4×ΓL(1,𝔽8) | D4 | 1 | 1 | yes | characteristic, complemented |
| 51 | C2×C3×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 52 | C2×C3×C4×ΓL(1,𝔽8) | C23 | 1 | 1 | yes | characteristic |
| 53 | ΓL(1,𝔽8)×#67 | — | 2 | 2 | no | — |
| 54 | ΓL(1,𝔽8)×#67 | — | 2 | 1 | no | — |
| 55 | ΓL(1,𝔽8)×#67 | — | 4 | 4 | no | — |
| 56 | C2×Dic3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 57 | ΓL(1,𝔽8)×D12 | — | 2 | 2 | no | — |
| 58 | ΓL(1,𝔽8)×D12 | — | 2 | 1 | no | — |
| 59 | ΓL(1,𝔽8)×D12 | — | 2 | 1 | no | — |
| 60 | ΓL(1,𝔽8)×D12 | D4 | 1 | 1 | yes | characteristic, complemented |
| 61 | C4×D3×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 62 | C4×D3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 63 | ΓL(1,𝔽8)×Dic6 | D4 | 1 | 1 | yes | characteristic, complemented |
| 64 | C3×C8×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 65 | ΓL(1,𝔽8)×C3⋊C8 | — | 2 | 1 | no | — |
| 66 | C7×#453 | — | 3 | 1 | no | Hall |
| 67 | C3×C7×#41 | C22×C3 | 1 | 1 | yes | characteristic |
| 68 | C2×C3×C7×D4 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 69 | C2×C7×#67 | — | 2 | 2 | no | — |
| 70 | C7×#239 | — | 2 | 1 | no | — |
| 71 | D3×C7×D4 | — | 2 | 2 | no | — |
| 72 | D3×C7×D4 | — | 2 | 1 | no | — |
| 73 | C7×#235 | — | 2 | 1 | no | — |
| 74 | C7×#235 | C22×C3 | 1 | 1 | yes | characteristic |
| 75 | C2×C7×D12 | — | 2 | 1 | no | — |
| 76 | C2×C7×D12 | C22×C3 | 1 | 1 | yes | characteristic |
| 77 | #41×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 78 | #41×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 79 | #41×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 80 | #41×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 81 | #41×ΓL(1,𝔽8) | C2×D3 | 1 | 1 | yes | characteristic |
| 82 | C2×D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 83 | C2×D4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 84 | C2×D4×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 85 | C2×D4×ΓL(1,𝔽8) | — | 6 | 2 | no | — |
| 86 | C2×D4×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 87 | C2×D4×ΓL(1,𝔽8) | — | 6 | 2 | no | — |
| 88 | C2×D4×ΓL(1,𝔽8) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 89 | C3×C7×SD16 | — | 2 | 1 | no | — |
| 90 | C3×C7×D8 | — | 2 | 1 | no | — |
| 91 | C3×C7×M16 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 92 | C7×#214 | — | 2 | 1 | no | — |
| 93 | C7×#213 | — | 2 | 1 | no | — |
| 94 | C4×C7×Dic3 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 95 | C7×#208 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 96 | SD16×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 97 | SD16×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 98 | SD16×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 99 | D8×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 100 | D8×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 101 | D8×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 102 | M16×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 103 | M16×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 104 | M16×ΓL(1,𝔽8) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 105 | C42×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 106 | C3×#1009 | — | 7 | 1 | no | — |
| 107 | C32×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 108 | C3×#940 | — | 7 | 1 | no | — |
| 109 | C3×#932 | — | 7 | 1 | no | — |
| 110 | C3×#837 | — | 7 | 1 | no | — |
| 111 | C3×#825 | — | 7 | 1 | no | — |
| 112 | C3×#823 | — | 7 | 1 | no | — |
| 113 | C22×C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 114 | C22×C3×ΓL(1,𝔽8) | — | 4 | 2 | no | — |
| 115 | C22×C3×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 116 | C22×C3×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 117 | C2×D3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 118 | C2×D3×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 119 | C2×D3×ΓL(1,𝔽8) | — | 4 | 2 | no | — |
| 120 | C2×D3×ΓL(1,𝔽8) | — | 8 | 2 | no | — |
| 121 | C3×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 122 | C3×C4×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 123 | C3×C4×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 124 | Dic3×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 125 | Dic3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 126 | C7×H(5,𝔽2) | — | 3 | 1 | no | — |
| 127 | C7×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 128 | C7×AGL(1,ℤ/8) | C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 129 | C7×#127 | — | 3 | 1 | no | — |
| 130 | C7×#104 | — | 3 | 1 | no | — |
| 131 | C7×#104 | — | 3 | 1 | no | — |
| 132 | C7×#100 | — | 3 | 1 | no | — |
| 133 | C3×#453 | — | 21 | 1 | no | — |
| 134 | #5198 | ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, direct product factor |
| 135 | C23×C3×C7 | — | 2 | 1 | no | — |
| 136 | C22×D3×C7 | — | 2 | 2 | no | — |
| 137 | C22×D3×C7 | C3×D4 | 1 | 2 | yes | — |
| 138 | C23×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 139 | C23×ΓL(1,𝔽8) | — | 3 | 2 | no | — |
| 140 | C23×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 141 | C23×ΓL(1,𝔽8) | — | 6 | 2 | no | — |
| 142 | C3×C7×Q8 | C3×D4 | 1 | 1 | yes | characteristic, complemented |
| 143 | C3×C7×D4 | — | 2 | 1 | no | — |
| 144 | C3×C7×D4 | — | 2 | 1 | no | — |
| 145 | C3×C7×D4 | — | 2 | 1 | no | — |
| 146 | C3×C7×D4 | C3×D4 | 1 | 1 | yes | characteristic, complemented |
| 147 | C2×C3×C4×C7 | — | 2 | 1 | no | — |
| 148 | C2×C3×C4×C7 | C23×C3 | 1 | 1 | yes | characteristic |
| 149 | C7×#67 | — | 2 | 2 | no | — |
| 150 | C7×#67 | — | 2 | 1 | no | — |
| 151 | C7×#67 | — | 4 | 4 | no | — |
| 152 | C2×C7×Dic3 | — | 2 | 1 | no | — |
| 153 | C7×D12 | — | 2 | 2 | no | — |
| 154 | C7×D12 | — | 2 | 1 | no | — |
| 155 | C7×D12 | — | 2 | 1 | no | — |
| 156 | C7×D12 | C3×D4 | 1 | 1 | yes | characteristic, complemented |
| 157 | C4×D3×C7 | — | 2 | 2 | no | — |
| 158 | C4×D3×C7 | — | 2 | 1 | no | — |
| 159 | C7×Dic6 | C3×D4 | 1 | 1 | yes | characteristic, complemented |
| 160 | Q8×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 161 | Q8×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 162 | Q8×ΓL(1,𝔽8) | #67 | 1 | 1 | yes | characteristic, complemented |
| 163 | D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 164 | D4×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 165 | D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 166 | D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 167 | D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 168 | D4×ΓL(1,𝔽8) | — | 3 | 1 | no | — |
| 169 | D4×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 170 | D4×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 171 | D4×ΓL(1,𝔽8) | — | 6 | 2 | no | — |
| 172 | D4×ΓL(1,𝔽8) | — | 6 | 2 | no | — |
| 173 | D4×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 174 | D4×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 175 | D4×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 176 | D4×ΓL(1,𝔽8) | — | 12 | 4 | no | — |
| 177 | D4×ΓL(1,𝔽8) | #67 | 1 | 1 | yes | characteristic, complemented |
| 178 | C2×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 179 | C2×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 180 | C2×C4×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 181 | C2×C4×ΓL(1,𝔽8) | — | 6 | 2 | no | — |
| 182 | C2×C4×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 183 | C2×C4×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 184 | C2×C4×ΓL(1,𝔽8) | C22×D3 | 1 | 1 | yes | characteristic |
| 185 | C3×C7×C8 | — | 2 | 1 | no | — |
| 186 | C7×C3⋊C8 | — | 2 | 1 | no | — |
| 187 | C8×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 188 | C8×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 189 | C8×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 190 | C32×#41 | — | 7 | 1 | no | — |
| 191 | C2×C32×D4 | — | 7 | 1 | no | — |
| 192 | C2×C3×#67 | — | 14 | 2 | no | — |
| 193 | C3×#239 | — | 14 | 1 | no | — |
| 194 | C3×D3×D4 | — | 14 | 1 | no | — |
| 195 | C3×D3×D4 | — | 14 | 2 | no | — |
| 196 | C3×#235 | — | 7 | 1 | no | — |
| 197 | C3×#235 | — | 14 | 1 | no | — |
| 198 | C2×C3×D12 | — | 7 | 1 | no | — |
| 199 | C2×C3×D12 | — | 14 | 1 | no | — |
| 200 | C32×SD16 | — | 14 | 1 | no | — |
| 201 | C32×D8 | — | 14 | 1 | no | — |
| 202 | C32×M16 | — | 7 | 1 | no | — |
| 203 | C3×#214 | — | 14 | 1 | no | — |
| 204 | C3×#213 | — | 14 | 1 | no | — |
| 205 | C3×C4×Dic3 | — | 7 | 1 | no | — |
| 206 | C3×#208 | — | 7 | 1 | no | — |
| 207 | C2×C3×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 208 | C2×C3×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 209 | C2×C3×ΓL(1,𝔽8) | — | 8 | 1 | no | — |
| 210 | C2×C3×ΓL(1,𝔽8) | #120 | 1 | 1 | yes | characteristic |
| 211 | D3×ΓL(1,𝔽8) | — | 4 | 2 | no | — |
| 212 | D3×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 213 | C7×#41 | — | 3 | 1 | no | — |
| 214 | C7×#41 | — | 6 | 1 | no | — |
| 215 | C7×#41 | — | 6 | 1 | no | — |
| 216 | C7×#41 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 217 | C2×C7×D4 | — | 3 | 1 | no | — |
| 218 | C2×C7×D4 | — | 6 | 1 | no | — |
| 219 | C2×C7×D4 | — | 6 | 2 | no | — |
| 220 | C2×C7×D4 | — | 6 | 1 | no | — |
| 221 | C2×C7×D4 | — | 6 | 2 | no | — |
| 222 | C2×C7×D4 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 223 | C7×SD16 | — | 2 | 1 | no | — |
| 224 | C7×SD16 | — | 6 | 1 | no | — |
| 225 | C7×D8 | — | 2 | 1 | no | — |
| 226 | C7×D8 | — | 6 | 1 | no | — |
| 227 | C7×M16 | — | 3 | 1 | no | — |
| 228 | C7×M16 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 229 | C42×C7 | — | 3 | 1 | no | — |
| 230 | C3×H(5,𝔽2) | — | 21 | 1 | no | — |
| 231 | #1009 | C2×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 232 | C3×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 233 | C3×AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 234 | C3×AGL(1,ℤ/8) | — | 21 | 1 | no | — |
| 235 | C3×AGL(1,ℤ/8) | C2×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 236 | C3×#127 | — | 21 | 1 | no | — |
| 237 | #940 | C2×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 238 | #932 | C2×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 239 | C3×#104 | — | 21 | 1 | no | — |
| 240 | C3×#104 | — | 21 | 1 | no | — |
| 241 | C3×#100 | — | 21 | 1 | no | — |
| 242 | #837 | C2×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 243 | #825 | C2×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 244 | #823 | C2×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 245 | C22×C3×C7 | — | 2 | 1 | no | — |
| 246 | C22×C3×C7 | — | 4 | 2 | no | — |
| 247 | C22×C3×C7 | — | 4 | 1 | no | — |
| 248 | C22×C3×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 249 | C2×D3×C7 | — | 2 | 2 | no | — |
| 250 | C2×D3×C7 | — | 2 | 1 | no | — |
| 251 | C2×D3×C7 | — | 4 | 2 | no | — |
| 252 | C2×D3×C7 | — | 8 | 2 | no | — |
| 253 | C22×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 254 | C22×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 255 | C22×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 256 | C22×ΓL(1,𝔽8) | — | 4 | 2 | no | — |
| 257 | C22×ΓL(1,𝔽8) | — | 4 | 2 | no | — |
| 258 | C22×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 259 | C22×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 260 | C22×ΓL(1,𝔽8) | — | 6 | 2 | no | — |
| 261 | C22×ΓL(1,𝔽8) | — | 8 | 2 | no | — |
| 262 | C22×ΓL(1,𝔽8) | — | 12 | 2 | no | — |
| 263 | C22×ΓL(1,𝔽8) | — | 24 | 2 | no | — |
| 264 | C22×ΓL(1,𝔽8) | D3×D4 | 1 | 1 | yes | characteristic |
| 265 | C3×C4×C7 | — | 2 | 1 | no | — |
| 266 | C3×C4×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 267 | C3×C4×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 268 | C7×Dic3 | — | 2 | 2 | no | — |
| 269 | C7×Dic3 | — | 2 | 1 | no | — |
| 270 | C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 271 | C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 272 | C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 273 | C4×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 274 | C4×ΓL(1,𝔽8) | — | 6 | 2 | no | — |
| 275 | C4×ΓL(1,𝔽8) | — | 6 | 1 | no | — |
| 276 | C4×ΓL(1,𝔽8) | D3×D4 | 1 | 1 | yes | characteristic |
| 277 | C4×ΓL(1,𝔽8) | C2×#67 | 1 | 1 | yes | characteristic |
| 278 | C23×C32 | — | 14 | 1 | no | — |
| 279 | C22×C3×D3 | — | 7 | 2 | no | — |
| 280 | C22×C3×D3 | — | 14 | 2 | no | — |
| 281 | C32×Q8 | — | 7 | 1 | no | — |
| 282 | C32×D4 | — | 7 | 1 | no | — |
| 283 | C32×D4 | — | 14 | 1 | no | — |
| 284 | C32×D4 | — | 14 | 1 | no | — |
| 285 | C32×D4 | — | 14 | 1 | no | — |
| 286 | C2×C32×C4 | — | 7 | 1 | no | — |
| 287 | C2×C32×C4 | — | 14 | 1 | no | — |
| 288 | C3×#67 | — | 14 | 1 | no | — |
| 289 | C3×#67 | — | 14 | 2 | no | — |
| 290 | C3×#67 | — | 28 | 4 | no | — |
| 291 | C2×C3×Dic3 | — | 14 | 1 | no | — |
| 292 | C3×D12 | — | 7 | 1 | no | — |
| 293 | C3×D12 | — | 14 | 1 | no | — |
| 294 | C3×D12 | — | 14 | 1 | no | — |
| 295 | C3×D12 | — | 14 | 2 | no | — |
| 296 | C3×C4×D3 | — | 14 | 1 | no | — |
| 297 | C3×C4×D3 | — | 14 | 2 | no | — |
| 298 | C3×Dic6 | — | 7 | 1 | no | — |
| 299 | C32×C8 | — | 14 | 1 | no | — |
| 300 | C3×C3⋊C8 | — | 14 | 1 | no | — |
| 301 | #453 | — | 3 | 1 | no | Sylow |
| 302 | C3×ΓL(1,𝔽8) | #453 | 1 | 1 | yes | characteristic, complemented, Hall |
| 303 | C23×C7 | — | 2 | 1 | no | — |
| 304 | C23×C7 | — | 3 | 2 | no | — |
| 305 | C23×C7 | — | 6 | 2 | no | — |
| 306 | C7×Q8 | — | 3 | 1 | no | — |
| 307 | C7×Q8 | C3×#67 | 1 | 1 | yes | characteristic, complemented |
| 308 | C7×D4 | — | 2 | 1 | no | — |
| 309 | C7×D4 | — | 2 | 1 | no | — |
| 310 | C7×D4 | — | 2 | 1 | no | — |
| 311 | C7×D4 | — | 3 | 1 | no | — |
| 312 | C7×D4 | — | 6 | 2 | no | — |
| 313 | C7×D4 | — | 6 | 2 | no | — |
| 314 | C7×D4 | — | 6 | 1 | no | — |
| 315 | C7×D4 | — | 6 | 1 | no | — |
| 316 | C7×D4 | — | 6 | 1 | no | — |
| 317 | C7×D4 | — | 12 | 4 | no | — |
| 318 | C7×D4 | C3×#67 | 1 | 1 | yes | characteristic, complemented |
| 319 | C2×C4×C7 | — | 2 | 1 | no | — |
| 320 | C2×C4×C7 | — | 6 | 2 | no | — |
| 321 | C2×C4×C7 | — | 6 | 1 | no | — |
| 322 | C2×C4×C7 | — | 6 | 1 | no | — |
| 323 | C2×C4×C7 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 324 | C7×C8 | — | 2 | 1 | no | — |
| 325 | C7×C8 | — | 6 | 1 | no | — |
| 326 | C3×#41 | — | 7 | 1 | no | — |
| 327 | C3×#41 | — | 14 | 1 | no | — |
| 328 | C3×#41 | — | 21 | 1 | no | — |
| 329 | C3×#41 | — | 42 | 1 | no | — |
| 330 | C3×#41 | — | 42 | 1 | no | — |
| 331 | C3×#41 | C22×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 332 | C2×C3×D4 | — | 7 | 1 | no | — |
| 333 | C2×C3×D4 | — | 14 | 1 | no | — |
| 334 | C2×C3×D4 | — | 21 | 1 | no | — |
| 335 | C2×C3×D4 | — | 42 | 1 | no | — |
| 336 | C2×C3×D4 | — | 42 | 1 | no | — |
| 337 | C2×C3×D4 | — | 42 | 2 | no | — |
| 338 | C2×C3×D4 | — | 42 | 2 | no | — |
| 339 | C2×C3×D4 | C22×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 340 | C2×#67 | — | 2 | 2 | no | — |
| 341 | #239 | — | 2 | 1 | no | — |
| 342 | D3×D4 | — | 2 | 2 | no | — |
| 343 | D3×D4 | — | 2 | 1 | no | — |
| 344 | #235 | — | 2 | 1 | no | — |
| 345 | #235 | C22×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 346 | C2×D12 | — | 2 | 1 | no | — |
| 347 | C2×D12 | C22×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 348 | C3×SD16 | — | 2 | 1 | no | — |
| 349 | C3×SD16 | — | 14 | 1 | no | — |
| 350 | C3×SD16 | — | 14 | 2 | no | — |
| 351 | C3×SD16 | — | 42 | 1 | no | — |
| 352 | C3×D8 | — | 2 | 1 | no | — |
| 353 | C3×D8 | — | 14 | 1 | no | — |
| 354 | C3×D8 | — | 14 | 2 | no | — |
| 355 | C3×D8 | — | 42 | 1 | no | — |
| 356 | C3×M16 | — | 7 | 1 | no | — |
| 357 | C3×M16 | — | 14 | 1 | no | — |
| 358 | C3×M16 | — | 21 | 1 | no | — |
| 359 | C3×M16 | C22×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 360 | C3×C42 | — | 21 | 1 | no | — |
| 361 | #214 | — | 2 | 1 | no | — |
| 362 | #213 | — | 2 | 1 | no | — |
| 363 | C4×Dic3 | C22×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 364 | #208 | C22×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 365 | C2×C3×C7 | — | 2 | 1 | no | — |
| 366 | C2×C3×C7 | — | 4 | 1 | no | — |
| 367 | C2×C3×C7 | — | 8 | 1 | no | — |
| 368 | C2×C3×C7 | C3×#120 | 1 | 1 | yes | characteristic |
| 369 | D3×C7 | — | 4 | 2 | no | — |
| 370 | D3×C7 | — | 4 | 1 | no | — |
| 371 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 372 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 373 | C2×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 374 | C2×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 375 | C2×ΓL(1,𝔽8) | — | 8 | 1 | no | — |
| 376 | C2×ΓL(1,𝔽8) | — | 8 | 2 | no | — |
| 377 | C2×ΓL(1,𝔽8) | — | 8 | 1 | no | — |
| 378 | C2×ΓL(1,𝔽8) | — | 12 | 2 | no | — |
| 379 | C2×ΓL(1,𝔽8) | — | 12 | 1 | no | — |
| 380 | C2×ΓL(1,𝔽8) | #937 | 1 | 1 | yes | characteristic |
| 381 | C22×C32 | — | 7 | 1 | no | — |
| 382 | C22×C32 | — | 14 | 1 | no | — |
| 383 | C22×C32 | — | 28 | 1 | no | — |
| 384 | C22×C32 | — | 28 | 2 | no | — |
| 385 | C2×C3×D3 | — | 14 | 1 | no | — |
| 386 | C2×C3×D3 | — | 14 | 2 | no | — |
| 387 | C2×C3×D3 | — | 28 | 2 | no | — |
| 388 | C2×C3×D3 | — | 56 | 2 | no | — |
| 389 | C32×C4 | — | 7 | 1 | no | — |
| 390 | C32×C4 | — | 7 | 1 | no | — |
| 391 | C32×C4 | — | 14 | 1 | no | — |
| 392 | C3×Dic3 | — | 14 | 1 | no | — |
| 393 | C3×Dic3 | — | 14 | 2 | no | — |
| 394 | H(5,𝔽2) | — | 3 | 1 | no | — |
| 395 | AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 396 | AGL(1,ℤ/8) | D3×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 397 | #127 | — | 3 | 1 | no | — |
| 398 | #104 | — | 3 | 1 | no | — |
| 399 | #104 | — | 3 | 1 | no | — |
| 400 | #100 | — | 3 | 1 | no | — |
| 401 | C22×C7 | — | 2 | 1 | no | — |
| 402 | C22×C7 | — | 4 | 2 | no | — |
| 403 | C22×C7 | — | 4 | 1 | no | — |
| 404 | C22×C7 | — | 6 | 1 | no | — |
| 405 | C22×C7 | — | 6 | 2 | no | — |
| 406 | C22×C7 | — | 12 | 2 | no | — |
| 407 | C22×C7 | — | 24 | 2 | no | — |
| 408 | C22×C7 | C3×D3×D4 | 1 | 1 | yes | characteristic |
| 409 | C4×C7 | — | 2 | 1 | no | — |
| 410 | C4×C7 | — | 6 | 2 | no | — |
| 411 | C4×C7 | — | 6 | 1 | no | — |
| 412 | C4×C7 | C3×D3×D4 | 1 | 1 | yes | characteristic |
| 413 | C4×C7 | C2×C3×#67 | 1 | 1 | yes | characteristic |
| 414 | C23×C3 | — | 2 | 1 | no | — |
| 415 | C23×C3 | — | 14 | 1 | no | — |
| 416 | C23×C3 | — | 21 | 2 | no | — |
| 417 | C23×C3 | — | 28 | 1 | no | — |
| 418 | C23×C3 | — | 42 | 2 | no | — |
| 419 | C22×D3 | — | 2 | 2 | no | — |
| 420 | C22×D3 | D4×ΓL(1,𝔽8) | 1 | 2 | yes | — |
| 421 | C3×Q8 | — | 7 | 1 | no | — |
| 422 | C3×Q8 | — | 14 | 1 | no | — |
| 423 | C3×Q8 | — | 21 | 1 | no | — |
| 424 | C3×Q8 | D4×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 425 | C3×D4 | — | 2 | 1 | no | — |
| 426 | C3×D4 | — | 2 | 1 | no | — |
| 427 | C3×D4 | — | 2 | 1 | no | — |
| 428 | C3×D4 | — | 7 | 1 | no | — |
| 429 | C3×D4 | — | 14 | 1 | no | — |
| 430 | C3×D4 | — | 14 | 1 | no | — |
| 431 | C3×D4 | — | 14 | 1 | no | — |
| 432 | C3×D4 | — | 14 | 2 | no | — |
| 433 | C3×D4 | — | 14 | 1 | no | — |
| 434 | C3×D4 | — | 21 | 1 | no | — |
| 435 | C3×D4 | — | 28 | 1 | no | — |
| 436 | C3×D4 | — | 28 | 1 | no | — |
| 437 | C3×D4 | — | 42 | 1 | no | — |
| 438 | C3×D4 | — | 42 | 1 | no | — |
| 439 | C3×D4 | — | 42 | 2 | no | — |
| 440 | C3×D4 | — | 42 | 1 | no | — |
| 441 | C3×D4 | — | 42 | 2 | no | — |
| 442 | C3×D4 | — | 84 | 4 | no | — |
| 443 | C3×D4 | D4×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 444 | C2×C3×C4 | — | 2 | 1 | no | — |
| 445 | C2×C3×C4 | — | 7 | 1 | no | — |
| 446 | C2×C3×C4 | — | 14 | 1 | no | — |
| 447 | C2×C3×C4 | — | 14 | 1 | no | — |
| 448 | C2×C3×C4 | — | 28 | 1 | no | — |
| 449 | C2×C3×C4 | — | 42 | 1 | no | — |
| 450 | C2×C3×C4 | — | 42 | 2 | no | — |
| 451 | C2×C3×C4 | — | 42 | 1 | no | — |
| 452 | C2×C3×C4 | C23×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 453 | #67 | — | 2 | 2 | no | — |
| 454 | #67 | — | 2 | 1 | no | — |
| 455 | #67 | — | 4 | 4 | no | — |
| 456 | C2×Dic3 | — | 2 | 1 | no | — |
| 457 | D12 | — | 2 | 2 | no | — |
| 458 | D12 | — | 2 | 1 | no | — |
| 459 | D12 | — | 2 | 1 | no | — |
| 460 | D12 | D4×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 461 | C4×D3 | — | 2 | 2 | no | — |
| 462 | C4×D3 | — | 2 | 1 | no | — |
| 463 | Dic6 | D4×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 464 | C3×C8 | — | 2 | 1 | no | — |
| 465 | C3×C8 | — | 14 | 1 | no | — |
| 466 | C3×C8 | — | 14 | 2 | no | — |
| 467 | C3×C8 | — | 42 | 1 | no | — |
| 468 | C3⋊C8 | — | 2 | 1 | no | — |
| 469 | C3×C7 | C3×#453 | 1 | 1 | yes | characteristic, complemented |
| 470 | ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 471 | ΓL(1,𝔽8) | #5198 | 1 | 1 | yes | characteristic, direct product factor |
| 472 | C2×C32 | — | 7 | 1 | no | — |
| 473 | C2×C32 | — | 14 | 1 | no | — |
| 474 | C2×C32 | — | 28 | 1 | no | — |
| 475 | C2×C32 | — | 56 | 1 | no | — |
| 476 | C3×D3 | — | 28 | 2 | no | — |
| 477 | C3×D3 | — | 28 | 1 | no | — |
| 478 | #41 | — | 3 | 1 | no | — |
| 479 | #41 | — | 6 | 1 | no | — |
| 480 | #41 | — | 6 | 1 | no | — |
| 481 | #41 | C2×D3×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 482 | C2×D4 | — | 3 | 1 | no | — |
| 483 | C2×D4 | — | 6 | 1 | no | — |
| 484 | C2×D4 | — | 6 | 2 | no | — |
| 485 | C2×D4 | — | 6 | 1 | no | — |
| 486 | C2×D4 | — | 6 | 2 | no | — |
| 487 | C2×D4 | C2×D3×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 488 | SD16 | — | 2 | 1 | no | — |
| 489 | SD16 | — | 6 | 1 | no | — |
| 490 | D8 | — | 2 | 1 | no | — |
| 491 | D8 | — | 6 | 1 | no | — |
| 492 | M16 | — | 3 | 1 | no | — |
| 493 | M16 | C2×D3×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic, complemented |
| 494 | C42 | — | 3 | 1 | no | — |
| 495 | C2×C7 | — | 2 | 1 | no | — |
| 496 | C2×C7 | — | 4 | 1 | no | — |
| 497 | C2×C7 | — | 8 | 1 | no | — |
| 498 | C2×C7 | — | 12 | 2 | no | — |
| 499 | C2×C7 | — | 12 | 1 | no | — |
| 500 | C2×C7 | C3×#937 | 1 | 1 | yes | characteristic |
| 501 | C22×C3 | — | 2 | 1 | no | — |
| 502 | C22×C3 | — | 4 | 2 | no | — |
| 503 | C22×C3 | — | 4 | 1 | no | — |
| 504 | C22×C3 | — | 7 | 1 | no | — |
| 505 | C22×C3 | — | 14 | 1 | no | — |
| 506 | C22×C3 | — | 14 | 1 | no | — |
| 507 | C22×C3 | — | 28 | 1 | no | — |
| 508 | C22×C3 | — | 28 | 1 | no | — |
| 509 | C22×C3 | — | 28 | 2 | no | — |
| 510 | C22×C3 | — | 28 | 2 | no | — |
| 511 | C22×C3 | — | 42 | 1 | no | — |
| 512 | C22×C3 | — | 42 | 2 | no | — |
| 513 | C22×C3 | — | 56 | 2 | no | — |
| 514 | C22×C3 | — | 84 | 2 | no | — |
| 515 | C22×C3 | — | 168 | 2 | no | — |
| 516 | C22×C3 | C2×D4×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 517 | C2×D3 | — | 2 | 2 | no | — |
| 518 | C2×D3 | — | 2 | 1 | no | — |
| 519 | C2×D3 | — | 4 | 2 | no | — |
| 520 | C2×D3 | — | 8 | 2 | no | — |
| 521 | C3×C4 | — | 2 | 1 | no | — |
| 522 | C3×C4 | — | 7 | 1 | no | — |
| 523 | C3×C4 | — | 7 | 1 | no | — |
| 524 | C3×C4 | — | 14 | 1 | no | — |
| 525 | C3×C4 | — | 14 | 1 | no | — |
| 526 | C3×C4 | — | 14 | 1 | no | — |
| 527 | C3×C4 | — | 28 | 1 | no | — |
| 528 | C3×C4 | — | 42 | 1 | no | — |
| 529 | C3×C4 | — | 42 | 2 | no | — |
| 530 | C3×C4 | C2×D4×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 531 | C3×C4 | C2×D4×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 532 | Dic3 | — | 2 | 2 | no | — |
| 533 | Dic3 | — | 2 | 1 | no | — |
| 534 | C32 | — | 7 | 1 | no | Sylow |
| 535 | C23 | — | 2 | 1 | no | — |
| 536 | C23 | — | 3 | 2 | no | — |
| 537 | C23 | — | 6 | 2 | no | — |
| 538 | Q8 | — | 3 | 1 | no | — |
| 539 | Q8 | ΓL(1,𝔽8)×#67 | 1 | 1 | yes | characteristic, complemented |
| 540 | D4 | — | 2 | 1 | no | — |
| 541 | D4 | — | 2 | 1 | no | — |
| 542 | D4 | — | 2 | 1 | no | — |
| 543 | D4 | — | 3 | 1 | no | — |
| 544 | D4 | — | 6 | 2 | no | — |
| 545 | D4 | — | 6 | 2 | no | — |
| 546 | D4 | — | 6 | 1 | no | — |
| 547 | D4 | — | 6 | 1 | no | — |
| 548 | D4 | — | 6 | 1 | no | — |
| 549 | D4 | — | 12 | 4 | no | — |
| 550 | D4 | ΓL(1,𝔽8)×#67 | 1 | 1 | yes | characteristic, complemented |
| 551 | C2×C4 | — | 2 | 1 | no | — |
| 552 | C2×C4 | — | 6 | 2 | no | — |
| 553 | C2×C4 | — | 6 | 1 | no | — |
| 554 | C2×C4 | — | 6 | 1 | no | — |
| 555 | C2×C4 | C22×D3×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 556 | C8 | — | 2 | 1 | no | — |
| 557 | C8 | — | 6 | 1 | no | — |
| 558 | C7 | C3×#5198 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 559 | C2×C3 | — | 2 | 1 | no | — |
| 560 | C2×C3 | — | 4 | 1 | no | — |
| 561 | C2×C3 | — | 7 | 1 | no | — |
| 562 | C2×C3 | — | 8 | 1 | no | — |
| 563 | C2×C3 | — | 14 | 1 | no | — |
| 564 | C2×C3 | — | 14 | 1 | no | — |
| 565 | C2×C3 | — | 28 | 1 | no | — |
| 566 | C2×C3 | — | 28 | 1 | no | — |
| 567 | C2×C3 | — | 56 | 1 | no | — |
| 568 | C2×C3 | — | 56 | 1 | no | — |
| 569 | C2×C3 | — | 56 | 2 | no | — |
| 570 | C2×C3 | — | 84 | 2 | no | — |
| 571 | C2×C3 | — | 84 | 1 | no | — |
| 572 | C2×C3 | ΓL(1,𝔽8)×#120 | 1 | 1 | yes | characteristic |
| 573 | D3 | — | 4 | 2 | no | — |
| 574 | D3 | — | 4 | 1 | no | — |
| 575 | C22 | — | 2 | 1 | no | — |
| 576 | C22 | — | 4 | 2 | no | — |
| 577 | C22 | — | 4 | 1 | no | — |
| 578 | C22 | — | 6 | 1 | no | — |
| 579 | C22 | — | 6 | 2 | no | — |
| 580 | C22 | — | 12 | 2 | no | — |
| 581 | C22 | — | 24 | 2 | no | — |
| 582 | C22 | D3×D4×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 583 | C4 | — | 2 | 1 | no | — |
| 584 | C4 | — | 6 | 2 | no | — |
| 585 | C4 | — | 6 | 1 | no | — |
| 586 | C4 | D3×D4×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 587 | C4 | C2×ΓL(1,𝔽8)×#67 | 1 | 1 | yes | characteristic |
| 588 | C3 | — | 7 | 1 | no | — |
| 589 | C3 | — | 14 | 1 | no | — |
| 590 | C3 | ΓL(1,𝔽8)×#453 | 1 | 1 | yes | characteristic, complemented |
| 591 | C2 | — | 2 | 1 | no | — |
| 592 | C2 | — | 4 | 1 | no | — |
| 593 | C2 | — | 8 | 1 | no | — |
| 594 | C2 | — | 12 | 2 | no | — |
| 595 | C2 | — | 12 | 1 | no | — |
| 596 | C2 | ΓL(1,𝔽8)×#937 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta