| 1 | #13062154 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#6512⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#6471⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #90216⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | ΓL(1,𝔽8)×#421 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #89904⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #89777⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #89599⋊C3 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #89594⋊C3 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #11736439 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 11 | C2×#41×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic |
| 12 | #10621519 | — | 2 | 1 | no | — |
| 13 | #10621519 | C22 | 1 | 2 | yes | complemented |
| 14 | #10621518 | — | 2 | 1 | no | — |
| 15 | #10621518 | C22 | 1 | 2 | yes | complemented |
| 16 | #41×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 17 | #41×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 18 | #10621516 | — | 2 | 1 | no | — |
| 19 | #6548⋊C3 | — | 2 | 1 | no | — |
| 20 | #6548⋊C3 | — | 2 | 2 | no | — |
| 21 | C2×#1157⋊C3 | — | 2 | 2 | no | — |
| 22 | C2×#1157⋊C3 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#1157⋊C3 | C22 | 1 | 1 | yes | characteristic |
| 24 | C22×C4⋊AGL(1,𝔽7) | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×M16×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | ΓL(1,𝔽8)×#117 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #6512⋊C3 | — | 2 | 2 | no | — |
| 28 | #6512⋊C3 | C22 | 1 | 4 | yes | complemented |
| 29 | C2×#1143⋊C3 | — | 2 | 1 | no | — |
| 30 | C2×#1141⋊C3 | — | 2 | 1 | no | — |
| 31 | C2×#1136⋊C3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #6471⋊C3 | — | 2 | 2 | no | — |
| 33 | #6471⋊C3 | C22 | 1 | 4 | yes | complemented |
| 34 | C2×D56⋊C3 | — | 2 | 1 | no | — |
| 35 | C2×#1132⋊C3 | — | 2 | 1 | no | — |
| 36 | #6458⋊C3 | — | 2 | 2 | no | — |
| 37 | #6445⋊C3 | — | 2 | 2 | no | — |
| 38 | #6438⋊C3 | C22 | 1 | 2 | yes | complemented |
| 39 | #10620710 | C22 | 1 | 2 | yes | complemented |
| 40 | ΓL(1,𝔽8)×#104 | C22 | 1 | 4 | yes | complemented |
| 41 | #6398⋊C3 | C22 | 1 | 2 | yes | complemented |
| 42 | #6397⋊C3 | C22 | 1 | 2 | yes | complemented |
| 43 | #6379⋊C3 | C22 | 1 | 4 | yes | complemented |
| 44 | #90616 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 45 | C2×#6512 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 46 | C2×#6471 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 47 | #90216 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 48 | C7×#421 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 49 | #89904 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 50 | #89777 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 51 | #89599 | C2×C3 | 1 | 4 | yes | complemented |
| 52 | #89594 | C2×C3 | 1 | 4 | yes | complemented |
| 53 | C3×#3021 | — | 7 | 1 | no | maximal, Hall |
| 54 | C23×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 55 | #41×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 56 | #41×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 57 | #41×ΓL(1,𝔽8) | D4 | 1 | 2 | yes | complemented |
| 58 | #41×ΓL(1,𝔽8) | C23 | 1 | 2 | yes | — |
| 59 | C2×Q8×ΓL(1,𝔽8) | D4 | 1 | 1 | yes | characteristic, complemented |
| 60 | C2×D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 61 | C2×D4×ΓL(1,𝔽8) | D4 | 1 | 1 | yes | characteristic, complemented |
| 62 | C22×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 63 | C22×C4×ΓL(1,𝔽8) | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×(C22⋊D7)⋊C3 | — | 2 | 4 | no | — |
| 65 | C2×(C22⋊D7)⋊C3 | — | 2 | 1 | no | — |
| 66 | C2×(C22⋊D7)⋊C3 | D4 | 1 | 2 | yes | — |
| 67 | #66659 | — | 2 | 2 | no | — |
| 68 | #66659 | — | 2 | 2 | no | — |
| 69 | Q8×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 70 | Q8×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 71 | #1159⋊C3 | — | 2 | 4 | no | — |
| 72 | #1159⋊C3 | — | 2 | 2 | no | — |
| 73 | #1159⋊C3 | — | 2 | 2 | no | — |
| 74 | #1159⋊C3 | — | 2 | 4 | no | — |
| 75 | D4×AGL(1,𝔽7) | — | 2 | 4 | no | — |
| 76 | D4×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 77 | D4×AGL(1,𝔽7) | — | 2 | 4 | no | — |
| 78 | D4×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 79 | #1157⋊C3 | — | 2 | 4 | no | — |
| 80 | #1157⋊C3 | — | 2 | 4 | no | — |
| 81 | #1157⋊C3 | — | 2 | 1 | no | — |
| 82 | #1157⋊C3 | — | 2 | 1 | no | — |
| 83 | #1157⋊C3 | — | 2 | 1 | no | — |
| 84 | #1157⋊C3 | — | 2 | 1 | no | — |
| 85 | #1157⋊C3 | — | 2 | 1 | no | — |
| 86 | #1157⋊C3 | — | 2 | 1 | no | — |
| 87 | #1157⋊C3 | — | 2 | 2 | no | — |
| 88 | #1157⋊C3 | — | 2 | 2 | no | — |
| 89 | #1157⋊C3 | D4 | 1 | 2 | yes | complemented |
| 90 | #1157⋊C3 | C23 | 1 | 2 | yes | — |
| 91 | C2×C4⋊AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 92 | C2×C4⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 93 | C2×C4⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 94 | C2×C4⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 95 | C2×C4⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 96 | C2×C4⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 97 | C2×C4⋊AGL(1,𝔽7) | — | 2 | 4 | no | — |
| 98 | C2×C4⋊AGL(1,𝔽7) | D4 | 1 | 1 | yes | characteristic, complemented |
| 99 | C2×C4⋊AGL(1,𝔽7) | C23 | 1 | 2 | yes | — |
| 100 | C2×C4⋊AGL(1,𝔽7) | C23 | 1 | 1 | yes | characteristic |
| 101 | C2×C4×AGL(1,𝔽7) | — | 2 | 4 | no | — |
| 102 | C2×C4×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 103 | C2×C4×AGL(1,𝔽7) | D4 | 1 | 2 | yes | — |
| 104 | C2×ΓL(1,𝔽8)⋊Q8 | — | 2 | 2 | no | — |
| 105 | C2×ΓL(1,𝔽8)⋊Q8 | D4 | 1 | 1 | yes | characteristic, complemented |
| 106 | C2×ΓL(1,𝔽8)⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 107 | M16×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 108 | M16×ΓL(1,𝔽8) | C23 | 1 | 2 | yes | — |
| 109 | C2×C8×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 110 | C4⋊C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 111 | C22⋊C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 112 | C42×ΓL(1,𝔽8) | C23 | 1 | 2 | yes | — |
| 113 | #1143⋊C3 | — | 2 | 4 | no | — |
| 114 | #1141⋊C3 | — | 2 | 4 | no | — |
| 115 | (C2×AGL(1,𝔽7))⋊C4 | — | 2 | 4 | no | — |
| 116 | #1136⋊C3 | — | 2 | 1 | no | — |
| 117 | #1136⋊C3 | C23 | 1 | 2 | yes | — |
| 118 | C2×ΓL(1,𝔽8)⋊C8 | — | 2 | 1 | no | — |
| 119 | D56⋊C3 | — | 2 | 4 | no | — |
| 120 | #1132⋊C3 | — | 2 | 4 | no | — |
| 121 | C2×C7×#41 | C22×C3 | 1 | 1 | yes | characteristic |
| 122 | #6554 | — | 2 | 1 | no | — |
| 123 | #6554 | C22×C3 | 1 | 2 | yes | complemented |
| 124 | #6553 | — | 2 | 1 | no | — |
| 125 | #6553 | C22×C3 | 1 | 2 | yes | complemented |
| 126 | D7×#41 | — | 2 | 2 | no | — |
| 127 | D7×#41 | — | 2 | 2 | no | — |
| 128 | #6551 | — | 2 | 1 | no | — |
| 129 | #6548 | — | 2 | 1 | no | — |
| 130 | #6548 | — | 2 | 2 | no | — |
| 131 | C2×#1157 | — | 2 | 2 | no | — |
| 132 | C2×#1157 | C22×C3 | 1 | 1 | yes | characteristic |
| 133 | C2×#1157 | C22×C3 | 1 | 1 | yes | characteristic |
| 134 | C22×D28 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 135 | C2×C7×M16 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 136 | C7×#117 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 137 | #6512 | — | 2 | 2 | no | — |
| 138 | #6512 | C22×C3 | 1 | 4 | yes | complemented |
| 139 | C2×#1143 | — | 2 | 1 | no | — |
| 140 | C2×#1141 | — | 2 | 1 | no | — |
| 141 | C2×#1136 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 142 | #6471 | — | 2 | 2 | no | — |
| 143 | #6471 | C22×C3 | 1 | 4 | yes | complemented |
| 144 | C2×D56 | — | 2 | 1 | no | — |
| 145 | C2×#1132 | — | 2 | 1 | no | — |
| 146 | #6458 | — | 2 | 2 | no | — |
| 147 | #6445 | — | 2 | 2 | no | — |
| 148 | #6438 | C22×C3 | 1 | 2 | yes | complemented |
| 149 | #6437 | C22×C3 | 1 | 2 | yes | complemented |
| 150 | C7×#104 | C22×C3 | 1 | 4 | yes | complemented |
| 151 | #6398 | C22×C3 | 1 | 2 | yes | complemented |
| 152 | #6397 | C22×C3 | 1 | 2 | yes | complemented |
| 153 | #6379 | C22×C3 | 1 | 4 | yes | complemented |
| 154 | C3×#585 | — | 7 | 1 | no | — |
| 155 | C2×C3×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 156 | C2×C3×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 157 | C3×#535 | — | 7 | 1 | no | — |
| 158 | C3×#454 | — | 7 | 4 | no | — |
| 159 | C3×#453 | — | 7 | 4 | no | — |
| 160 | C3×#421 | — | 7 | 1 | no | — |
| 161 | C3×#421 | — | 7 | 1 | no | — |
| 162 | C3×#413 | — | 7 | 1 | no | — |
| 163 | C23×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 164 | C23×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 165 | C22×AGL(1,𝔽7) | — | 2 | 4 | no | — |
| 166 | C22×AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 167 | C22×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 168 | C22×AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 169 | C22×AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 170 | C22×AGL(1,𝔽7) | — | 8 | 2 | no | — |
| 171 | C22×AGL(1,𝔽7) | C2×D4 | 1 | 2 | yes | — |
| 172 | Q8×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 173 | Q8×ΓL(1,𝔽8) | C2×D4 | 1 | 2 | yes | — |
| 174 | D4×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 175 | D4×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 176 | D4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 177 | D4×ΓL(1,𝔽8) | C2×D4 | 1 | 2 | yes | — |
| 178 | C2×C4×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 179 | C2×C4×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 180 | C2×C4×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 181 | C2×C4×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 182 | C2×C4×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 183 | C2×C4×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | C2×C4×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | C2×C4×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 186 | C2×C4×ΓL(1,𝔽8) | C2×D4 | 1 | 1 | yes | characteristic |
| 187 | C2×C4×ΓL(1,𝔽8) | C24 | 1 | 1 | yes | characteristic |
| 188 | (C22⋊D7)⋊C3 | — | 2 | 4 | no | — |
| 189 | (C22⋊D7)⋊C3 | — | 2 | 4 | no | — |
| 190 | (C22⋊D7)⋊C3 | — | 2 | 2 | no | — |
| 191 | (C22⋊D7)⋊C3 | — | 2 | 2 | no | — |
| 192 | (C22⋊D7)⋊C3 | — | 2 | 2 | no | — |
| 193 | (C22⋊D7)⋊C3 | — | 2 | 2 | no | — |
| 194 | C2×ΓL(1,𝔽8)⋊C4 | — | 2 | 4 | no | — |
| 195 | C2×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 196 | C2×ΓL(1,𝔽8)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 197 | C4⋊AGL(1,𝔽7) | — | 2 | 4 | no | — |
| 198 | C4⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 199 | C4⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 200 | C4⋊AGL(1,𝔽7) | — | 2 | 1 | no | — |
| 201 | C4⋊AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 202 | C4⋊AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 203 | C4⋊AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 204 | C4⋊AGL(1,𝔽7) | — | 4 | 1 | no | — |
| 205 | C4⋊AGL(1,𝔽7) | — | 8 | 4 | no | — |
| 206 | C4⋊AGL(1,𝔽7) | C2×D4 | 1 | 2 | yes | — |
| 207 | C4×AGL(1,𝔽7) | — | 2 | 4 | no | — |
| 208 | C4×AGL(1,𝔽7) | — | 2 | 4 | no | — |
| 209 | C4×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 210 | C4×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 211 | C4×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 212 | C4×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 213 | ΓL(1,𝔽8)⋊Q8 | — | 2 | 4 | no | — |
| 214 | ΓL(1,𝔽8)⋊Q8 | — | 2 | 1 | no | — |
| 215 | ΓL(1,𝔽8)⋊Q8 | — | 2 | 1 | no | — |
| 216 | ΓL(1,𝔽8)⋊Q8 | — | 2 | 1 | no | — |
| 217 | ΓL(1,𝔽8)⋊Q8 | C2×D4 | 1 | 2 | yes | — |
| 218 | C8×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 219 | ΓL(1,𝔽8)⋊C8 | — | 2 | 2 | no | — |
| 220 | #3021 | — | 7 | 1 | no | Sylow |
| 221 | C23×D7 | — | 2 | 1 | no | — |
| 222 | C7×#41 | — | 2 | 1 | no | — |
| 223 | C7×#41 | — | 2 | 1 | no | — |
| 224 | C7×#41 | C3×D4 | 1 | 2 | yes | complemented |
| 225 | C7×#41 | C23×C3 | 1 | 2 | yes | — |
| 226 | C2×C7×Q8 | C3×D4 | 1 | 1 | yes | characteristic, complemented |
| 227 | C2×C7×D4 | — | 2 | 1 | no | — |
| 228 | C2×C7×D4 | C3×D4 | 1 | 1 | yes | characteristic, complemented |
| 229 | C22×C4×C7 | — | 2 | 1 | no | — |
| 230 | C22×C4×C7 | C23×C3 | 1 | 1 | yes | characteristic |
| 231 | C2×C22⋊D7 | — | 2 | 4 | no | — |
| 232 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 233 | C2×C22⋊D7 | C3×D4 | 1 | 2 | yes | — |
| 234 | #1161 | — | 2 | 2 | no | — |
| 235 | #1161 | — | 2 | 2 | no | — |
| 236 | Q8×D7 | — | 2 | 2 | no | — |
| 237 | Q8×D7 | — | 2 | 2 | no | — |
| 238 | #1159 | — | 2 | 4 | no | — |
| 239 | #1159 | — | 2 | 2 | no | — |
| 240 | #1159 | — | 2 | 2 | no | — |
| 241 | #1159 | — | 2 | 4 | no | — |
| 242 | D4×D7 | — | 2 | 4 | no | — |
| 243 | D4×D7 | — | 2 | 2 | no | — |
| 244 | D4×D7 | — | 2 | 4 | no | — |
| 245 | D4×D7 | — | 2 | 2 | no | — |
| 246 | #1157 | — | 2 | 4 | no | — |
| 247 | #1157 | — | 2 | 4 | no | — |
| 248 | #1157 | — | 2 | 1 | no | — |
| 249 | #1157 | — | 2 | 1 | no | — |
| 250 | #1157 | — | 2 | 1 | no | — |
| 251 | #1157 | — | 2 | 1 | no | — |
| 252 | #1157 | — | 2 | 1 | no | — |
| 253 | #1157 | — | 2 | 1 | no | — |
| 254 | #1157 | — | 2 | 2 | no | — |
| 255 | #1157 | — | 2 | 2 | no | — |
| 256 | #1157 | C3×D4 | 1 | 2 | yes | complemented |
| 257 | #1157 | C23×C3 | 1 | 2 | yes | — |
| 258 | C2×D28 | — | 2 | 2 | no | — |
| 259 | C2×D28 | — | 2 | 1 | no | — |
| 260 | C2×D28 | — | 2 | 1 | no | — |
| 261 | C2×D28 | — | 2 | 1 | no | — |
| 262 | C2×D28 | — | 2 | 1 | no | — |
| 263 | C2×D28 | — | 2 | 1 | no | — |
| 264 | C2×D28 | — | 2 | 4 | no | — |
| 265 | C2×D28 | C3×D4 | 1 | 1 | yes | characteristic, complemented |
| 266 | C2×D28 | C23×C3 | 1 | 2 | yes | — |
| 267 | C2×D28 | C23×C3 | 1 | 1 | yes | characteristic |
| 268 | C2×C4×D7 | — | 2 | 4 | no | — |
| 269 | C2×C4×D7 | — | 2 | 1 | no | — |
| 270 | C2×C4×D7 | C3×D4 | 1 | 2 | yes | — |
| 271 | C2×Dic14 | — | 2 | 2 | no | — |
| 272 | C2×Dic14 | C3×D4 | 1 | 1 | yes | characteristic, complemented |
| 273 | C2×Dic14 | C23×C3 | 1 | 1 | yes | characteristic |
| 274 | C7×M16 | — | 2 | 1 | no | — |
| 275 | C7×M16 | C23×C3 | 1 | 2 | yes | — |
| 276 | C2×C7×C8 | — | 2 | 1 | no | — |
| 277 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 278 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 279 | C42×C7 | C23×C3 | 1 | 2 | yes | — |
| 280 | #1143 | — | 2 | 4 | no | — |
| 281 | #1141 | — | 2 | 4 | no | — |
| 282 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 283 | #1136 | — | 2 | 1 | no | — |
| 284 | #1136 | C23×C3 | 1 | 2 | yes | — |
| 285 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 286 | D56 | — | 2 | 4 | no | — |
| 287 | #1132 | — | 2 | 4 | no | — |
| 288 | C3×2−1+4 | — | 7 | 2 | no | — |
| 289 | C3×2−1+4 | — | 14 | 1 | no | — |
| 290 | C3×2−1+4 | — | 14 | 1 | no | — |
| 291 | C3×H(5,𝔽2) | — | 7 | 2 | no | — |
| 292 | C3×H(5,𝔽2) | — | 14 | 2 | no | — |
| 293 | C3×H(5,𝔽2) | — | 14 | 1 | no | — |
| 294 | C3×H(5,𝔽2) | — | 14 | 1 | no | — |
| 295 | C2×C3×#41 | — | 7 | 1 | no | — |
| 296 | C2×C3×#41 | — | 7 | 1 | no | — |
| 297 | C2×C3×#41 | — | 7 | 1 | no | — |
| 298 | C2×C3×#41 | — | 14 | 2 | no | — |
| 299 | C2×C3×#41 | — | 14 | 2 | no | — |
| 300 | C2×C3×#41 | — | 14 | 2 | no | — |
| 301 | C22×C3×D4 | — | 7 | 1 | no | — |
| 302 | C3×AGL(1,ℤ/8) | — | 7 | 4 | no | — |
| 303 | C3×AGL(1,ℤ/8) | — | 7 | 4 | no | — |
| 304 | C3×AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 305 | C3×AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 306 | C2×C3×SD16 | — | 14 | 1 | no | — |
| 307 | C2×C3×SD16 | — | 14 | 1 | no | — |
| 308 | C2×C3×D8 | — | 14 | 1 | no | — |
| 309 | C2×C3×D8 | — | 14 | 1 | no | — |
| 310 | C2×C3×M16 | — | 7 | 1 | no | — |
| 311 | C2×C3×M16 | — | 7 | 1 | no | — |
| 312 | C3×#127 | — | 7 | 2 | no | — |
| 313 | C3×#124 | — | 7 | 2 | no | — |
| 314 | C3×#121 | — | 14 | 2 | no | — |
| 315 | C3×#120 | — | 14 | 2 | no | — |
| 316 | C3×#117 | — | 7 | 1 | no | — |
| 317 | C3×#104 | — | 7 | 4 | no | — |
| 318 | C3×#104 | — | 7 | 4 | no | — |
| 319 | C3×#101 | — | 7 | 2 | no | — |
| 320 | C3×#100 | — | 7 | 2 | no | — |
| 321 | C22×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 322 | C22×ΓL(1,𝔽8) | — | 4 | 1 | no | — |
| 323 | C22×ΓL(1,𝔽8) | — | 8 | 1 | no | — |
| 324 | C22×ΓL(1,𝔽8) | #120 | 1 | 1 | yes | characteristic |
| 325 | C22×ΓL(1,𝔽8) | #120 | 1 | 1 | yes | characteristic |
| 326 | C22×ΓL(1,𝔽8) | C22×D4 | 1 | 1 | yes | characteristic |
| 327 | C2×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 328 | C2×AGL(1,𝔽7) | — | 2 | 2 | no | — |
| 329 | C2×AGL(1,𝔽7) | — | 4 | 2 | no | — |
| 330 | C2×AGL(1,𝔽7) | — | 4 | 4 | no | — |
| 331 | C2×AGL(1,𝔽7) | — | 4 | 2 | no | — |
| 332 | C2×AGL(1,𝔽7) | — | 8 | 1 | no | — |
| 333 | C2×AGL(1,𝔽7) | — | 8 | 4 | no | — |
| 334 | C2×AGL(1,𝔽7) | — | 8 | 2 | no | — |
| 335 | C2×AGL(1,𝔽7) | — | 8 | 2 | no | — |
| 336 | C4×ΓL(1,𝔽8) | — | 2 | 2 | no | — |
| 337 | C4×ΓL(1,𝔽8) | — | 4 | 2 | no | — |
| 338 | C4×ΓL(1,𝔽8) | #120 | 1 | 1 | yes | characteristic |
| 339 | C4×ΓL(1,𝔽8) | #120 | 1 | 1 | yes | characteristic |
| 340 | C4×ΓL(1,𝔽8) | C22×D4 | 1 | 1 | yes | characteristic |
| 341 | C4×ΓL(1,𝔽8) | C22×D4 | 1 | 1 | yes | characteristic |
| 342 | ΓL(1,𝔽8)⋊C4 | — | 2 | 2 | no | — |
| 343 | ΓL(1,𝔽8)⋊C4 | — | 2 | 2 | no | — |
| 344 | #585 | — | 7 | 1 | no | — |
| 345 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 346 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 347 | #535 | — | 7 | 1 | no | — |
| 348 | #454 | — | 7 | 4 | no | — |
| 349 | #453 | — | 7 | 4 | no | — |
| 350 | #421 | — | 7 | 1 | no | — |
| 351 | #421 | AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 352 | #413 | — | 7 | 1 | no | — |
| 353 | C23×C7 | — | 2 | 1 | no | — |
| 354 | C23×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 355 | C22×D7 | — | 2 | 4 | no | — |
| 356 | C22×D7 | — | 2 | 1 | no | — |
| 357 | C22×D7 | — | 2 | 2 | no | — |
| 358 | C22×D7 | — | 4 | 1 | no | — |
| 359 | C22×D7 | — | 4 | 1 | no | — |
| 360 | C22×D7 | — | 8 | 2 | no | — |
| 361 | C22×D7 | C2×C3×D4 | 1 | 2 | yes | — |
| 362 | C7×Q8 | — | 2 | 1 | no | — |
| 363 | C7×Q8 | C2×C3×D4 | 1 | 2 | yes | — |
| 364 | C7×D4 | — | 2 | 2 | no | — |
| 365 | C7×D4 | — | 2 | 2 | no | — |
| 366 | C7×D4 | — | 2 | 1 | no | — |
| 367 | C7×D4 | C2×C3×D4 | 1 | 2 | yes | — |
| 368 | C2×C4×C7 | — | 2 | 1 | no | — |
| 369 | C2×C4×C7 | — | 2 | 2 | no | — |
| 370 | C2×C4×C7 | — | 2 | 2 | no | — |
| 371 | C2×C4×C7 | — | 2 | 2 | no | — |
| 372 | C2×C4×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 373 | C2×C4×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 374 | C2×C4×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 375 | C2×C4×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 376 | C2×C4×C7 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 377 | C2×C4×C7 | C24×C3 | 1 | 1 | yes | characteristic |
| 378 | C22⋊D7 | — | 2 | 4 | no | — |
| 379 | C22⋊D7 | — | 2 | 4 | no | — |
| 380 | C22⋊D7 | — | 2 | 2 | no | — |
| 381 | C22⋊D7 | — | 2 | 2 | no | — |
| 382 | C22⋊D7 | — | 2 | 2 | no | — |
| 383 | C22⋊D7 | — | 2 | 2 | no | — |
| 384 | C2×Dic7 | — | 2 | 4 | no | — |
| 385 | C2×Dic7 | — | 2 | 1 | no | — |
| 386 | C2×Dic7 | C2×C3×D4 | 1 | 2 | yes | — |
| 387 | D28 | — | 2 | 4 | no | — |
| 388 | D28 | — | 2 | 1 | no | — |
| 389 | D28 | — | 2 | 1 | no | — |
| 390 | D28 | — | 2 | 1 | no | — |
| 391 | D28 | — | 2 | 2 | no | — |
| 392 | D28 | — | 2 | 2 | no | — |
| 393 | D28 | — | 4 | 1 | no | — |
| 394 | D28 | — | 4 | 1 | no | — |
| 395 | D28 | — | 8 | 4 | no | — |
| 396 | D28 | C2×C3×D4 | 1 | 2 | yes | — |
| 397 | C4×D7 | — | 2 | 4 | no | — |
| 398 | C4×D7 | — | 2 | 4 | no | — |
| 399 | C4×D7 | — | 2 | 2 | no | — |
| 400 | C4×D7 | — | 2 | 2 | no | — |
| 401 | C4×D7 | — | 2 | 2 | no | — |
| 402 | C4×D7 | — | 2 | 2 | no | — |
| 403 | Dic14 | — | 2 | 4 | no | — |
| 404 | Dic14 | — | 2 | 1 | no | — |
| 405 | Dic14 | — | 2 | 1 | no | — |
| 406 | Dic14 | — | 2 | 1 | no | — |
| 407 | Dic14 | C2×C3×D4 | 1 | 2 | yes | — |
| 408 | C7×C8 | — | 2 | 2 | no | — |
| 409 | C7⋊C8 | — | 2 | 2 | no | — |
| 410 | C24×C3 | — | 14 | 1 | no | — |
| 411 | C3×#41 | — | 7 | 2 | no | — |
| 412 | C3×#41 | — | 7 | 2 | no | — |
| 413 | C3×#41 | — | 7 | 2 | no | — |
| 414 | C3×#41 | — | 7 | 2 | no | — |
| 415 | C3×#41 | — | 14 | 1 | no | — |
| 416 | C3×#41 | — | 14 | 1 | no | — |
| 417 | C3×#41 | — | 14 | 1 | no | — |
| 418 | C3×#41 | — | 14 | 1 | no | — |
| 419 | C3×#41 | — | 14 | 1 | no | — |
| 420 | C3×#41 | — | 14 | 1 | no | — |
| 421 | C3×#41 | — | 14 | 1 | no | — |
| 422 | C3×#41 | — | 14 | 1 | no | — |
| 423 | C3×#41 | — | 14 | 4 | no | — |
| 424 | C3×#41 | — | 14 | 2 | no | — |
| 425 | C3×#41 | — | 14 | 2 | no | — |
| 426 | C3×#41 | — | 14 | 2 | no | — |
| 427 | C3×#41 | — | 14 | 2 | no | — |
| 428 | C3×#41 | — | 14 | 4 | no | — |
| 429 | C3×#41 | — | 14 | 4 | no | — |
| 430 | C3×#41 | — | 14 | 2 | no | — |
| 431 | C3×#41 | — | 14 | 4 | no | — |
| 432 | C3×#41 | — | 14 | 2 | no | — |
| 433 | C2×C3×Q8 | — | 7 | 1 | no | — |
| 434 | C2×C3×Q8 | — | 7 | 1 | no | — |
| 435 | C2×C3×Q8 | — | 7 | 1 | no | — |
| 436 | C2×C3×Q8 | — | 14 | 2 | no | — |
| 437 | C2×C3×Q8 | — | 14 | 2 | no | — |
| 438 | C2×C3×Q8 | — | 14 | 2 | no | — |
| 439 | C2×C3×D4 | — | 7 | 1 | no | — |
| 440 | C2×C3×D4 | — | 7 | 1 | no | — |
| 441 | C2×C3×D4 | — | 7 | 2 | no | — |
| 442 | C2×C3×D4 | — | 7 | 2 | no | — |
| 443 | C2×C3×D4 | — | 7 | 1 | no | — |
| 444 | C2×C3×D4 | — | 14 | 1 | no | — |
| 445 | C2×C3×D4 | — | 14 | 1 | no | — |
| 446 | C2×C3×D4 | — | 14 | 1 | no | — |
| 447 | C2×C3×D4 | — | 14 | 1 | no | — |
| 448 | C2×C3×D4 | — | 14 | 1 | no | — |
| 449 | C2×C3×D4 | — | 14 | 1 | no | — |
| 450 | C2×C3×D4 | — | 14 | 2 | no | — |
| 451 | C2×C3×D4 | — | 14 | 2 | no | — |
| 452 | C2×C3×D4 | — | 14 | 4 | no | — |
| 453 | C2×C3×D4 | — | 14 | 1 | no | — |
| 454 | C2×C3×D4 | — | 14 | 2 | no | — |
| 455 | C2×C3×D4 | — | 14 | 4 | no | — |
| 456 | C2×C3×D4 | — | 14 | 4 | no | — |
| 457 | C2×C3×D4 | — | 14 | 4 | no | — |
| 458 | C22×C3×C4 | — | 7 | 2 | no | — |
| 459 | C22×C3×C4 | — | 7 | 1 | no | — |
| 460 | C22×C3×C4 | — | 14 | 1 | no | — |
| 461 | C22×C3×C4 | — | 14 | 1 | no | — |
| 462 | C22×C3×C4 | — | 14 | 4 | no | — |
| 463 | C3×SD16 | — | 14 | 4 | no | — |
| 464 | C3×SD16 | — | 14 | 4 | no | — |
| 465 | C3×D8 | — | 14 | 4 | no | — |
| 466 | C3×D8 | — | 14 | 4 | no | — |
| 467 | C3×M16 | — | 7 | 2 | no | — |
| 468 | C3×M16 | — | 7 | 2 | no | — |
| 469 | C3×M16 | — | 14 | 1 | no | — |
| 470 | C3×M16 | — | 14 | 1 | no | — |
| 471 | C2×C3×C8 | — | 14 | 1 | no | — |
| 472 | C2×C3×C8 | — | 14 | 1 | no | — |
| 473 | C3×C4⋊C4 | — | 14 | 1 | no | — |
| 474 | C3×C22⋊C4 | — | 14 | 1 | no | — |
| 475 | C3×C22⋊C4 | — | 14 | 4 | no | — |
| 476 | C3×C42 | — | 7 | 2 | no | — |
| 477 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 478 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 479 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 480 | C2×ΓL(1,𝔽8) | — | 4 | 2 | no | — |
| 481 | C2×ΓL(1,𝔽8) | C2×#120 | 1 | 1 | yes | characteristic |
| 482 | AGL(1,𝔽7) | — | 4 | 2 | no | — |
| 483 | AGL(1,𝔽7) | — | 4 | 2 | no | — |
| 484 | AGL(1,𝔽7) | — | 8 | 2 | no | — |
| 485 | 2−1+4 | — | 7 | 2 | no | — |
| 486 | 2−1+4 | — | 14 | 1 | no | — |
| 487 | 2−1+4 | — | 14 | 1 | no | — |
| 488 | H(5,𝔽2) | — | 7 | 2 | no | — |
| 489 | H(5,𝔽2) | — | 14 | 2 | no | — |
| 490 | H(5,𝔽2) | — | 14 | 1 | no | — |
| 491 | H(5,𝔽2) | — | 14 | 1 | no | — |
| 492 | C2×#41 | — | 7 | 1 | no | — |
| 493 | C2×#41 | — | 7 | 1 | no | — |
| 494 | C2×#41 | — | 14 | 2 | no | — |
| 495 | C2×#41 | — | 14 | 2 | no | — |
| 496 | C2×#41 | — | 14 | 2 | no | — |
| 497 | C2×#41 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 498 | C22×D4 | — | 7 | 1 | no | — |
| 499 | AGL(1,ℤ/8) | — | 7 | 4 | no | — |
| 500 | AGL(1,ℤ/8) | — | 7 | 4 | no | — |
| 501 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 502 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 503 | C2×SD16 | — | 14 | 1 | no | — |
| 504 | C2×SD16 | — | 14 | 1 | no | — |
| 505 | C2×D8 | — | 14 | 1 | no | — |
| 506 | C2×D8 | — | 14 | 1 | no | — |
| 507 | C2×M16 | — | 7 | 1 | no | — |
| 508 | C2×M16 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 509 | #127 | — | 7 | 2 | no | — |
| 510 | #124 | — | 7 | 2 | no | — |
| 511 | #121 | — | 14 | 2 | no | — |
| 512 | #120 | — | 14 | 2 | no | — |
| 513 | #117 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 514 | #104 | — | 7 | 4 | no | — |
| 515 | #104 | C2×AGL(1,𝔽7) | 1 | 4 | yes | complemented |
| 516 | #101 | — | 7 | 2 | no | — |
| 517 | #100 | — | 7 | 2 | no | — |
| 518 | C22×C7 | — | 2 | 2 | no | — |
| 519 | C22×C7 | — | 4 | 1 | no | — |
| 520 | C22×C7 | — | 8 | 1 | no | — |
| 521 | C22×C7 | C3×#120 | 1 | 1 | yes | characteristic |
| 522 | C22×C7 | C3×#120 | 1 | 1 | yes | characteristic |
| 523 | C22×C7 | C22×C3×D4 | 1 | 1 | yes | characteristic |
| 524 | C2×D7 | — | 2 | 2 | no | — |
| 525 | C2×D7 | — | 2 | 2 | no | — |
| 526 | C2×D7 | — | 4 | 2 | no | — |
| 527 | C2×D7 | — | 4 | 4 | no | — |
| 528 | C2×D7 | — | 4 | 2 | no | — |
| 529 | C2×D7 | — | 8 | 1 | no | — |
| 530 | C2×D7 | — | 8 | 4 | no | — |
| 531 | C2×D7 | — | 8 | 2 | no | — |
| 532 | C2×D7 | — | 8 | 2 | no | — |
| 533 | C4×C7 | — | 2 | 2 | no | — |
| 534 | C4×C7 | — | 4 | 2 | no | — |
| 535 | C4×C7 | C3×#120 | 1 | 1 | yes | characteristic |
| 536 | C4×C7 | C3×#120 | 1 | 1 | yes | characteristic |
| 537 | C4×C7 | C22×C3×D4 | 1 | 1 | yes | characteristic |
| 538 | C4×C7 | C22×C3×D4 | 1 | 1 | yes | characteristic |
| 539 | Dic7 | — | 2 | 2 | no | — |
| 540 | Dic7 | — | 2 | 2 | no | — |
| 541 | C23×C3 | — | 7 | 2 | no | — |
| 542 | C23×C3 | — | 7 | 1 | no | — |
| 543 | C23×C3 | — | 14 | 1 | no | — |
| 544 | C23×C3 | — | 14 | 1 | no | — |
| 545 | C23×C3 | — | 14 | 2 | no | — |
| 546 | C23×C3 | — | 14 | 4 | no | — |
| 547 | C23×C3 | — | 28 | 1 | no | — |
| 548 | C23×C3 | — | 28 | 1 | no | — |
| 549 | C23×C3 | — | 56 | 2 | no | — |
| 550 | C3×Q8 | — | 7 | 2 | no | — |
| 551 | C3×Q8 | — | 7 | 2 | no | — |
| 552 | C3×Q8 | — | 14 | 1 | no | — |
| 553 | C3×Q8 | — | 14 | 1 | no | — |
| 554 | C3×Q8 | — | 14 | 1 | no | — |
| 555 | C3×Q8 | — | 14 | 1 | no | — |
| 556 | C3×Q8 | — | 14 | 4 | no | — |
| 557 | C3×D4 | — | 7 | 2 | no | — |
| 558 | C3×D4 | — | 7 | 2 | no | — |
| 559 | C3×D4 | — | 14 | 1 | no | — |
| 560 | C3×D4 | — | 14 | 2 | no | — |
| 561 | C3×D4 | — | 14 | 2 | no | — |
| 562 | C3×D4 | — | 14 | 1 | no | — |
| 563 | C3×D4 | — | 14 | 1 | no | — |
| 564 | C3×D4 | — | 14 | 1 | no | — |
| 565 | C3×D4 | — | 14 | 2 | no | — |
| 566 | C3×D4 | — | 14 | 2 | no | — |
| 567 | C3×D4 | — | 14 | 2 | no | — |
| 568 | C3×D4 | — | 14 | 2 | no | — |
| 569 | C3×D4 | — | 14 | 2 | no | — |
| 570 | C3×D4 | — | 14 | 2 | no | — |
| 571 | C3×D4 | — | 14 | 4 | no | — |
| 572 | C3×D4 | — | 14 | 4 | no | — |
| 573 | C3×D4 | — | 14 | 4 | no | — |
| 574 | C3×D4 | — | 28 | 1 | no | — |
| 575 | C3×D4 | — | 28 | 1 | no | — |
| 576 | C3×D4 | — | 56 | 4 | no | — |
| 577 | C2×C3×C4 | — | 7 | 2 | no | — |
| 578 | C2×C3×C4 | — | 7 | 1 | no | — |
| 579 | C2×C3×C4 | — | 7 | 1 | no | — |
| 580 | C2×C3×C4 | — | 7 | 1 | no | — |
| 581 | C2×C3×C4 | — | 7 | 1 | no | — |
| 582 | C2×C3×C4 | — | 7 | 1 | no | — |
| 583 | C2×C3×C4 | — | 7 | 1 | no | — |
| 584 | C2×C3×C4 | — | 14 | 2 | no | — |
| 585 | C2×C3×C4 | — | 14 | 2 | no | — |
| 586 | C2×C3×C4 | — | 14 | 1 | no | — |
| 587 | C2×C3×C4 | — | 14 | 2 | no | — |
| 588 | C2×C3×C4 | — | 14 | 2 | no | — |
| 589 | C2×C3×C4 | — | 14 | 2 | no | — |
| 590 | C2×C3×C4 | — | 14 | 2 | no | — |
| 591 | C2×C3×C4 | — | 14 | 2 | no | — |
| 592 | C2×C3×C4 | — | 14 | 1 | no | — |
| 593 | C2×C3×C4 | — | 14 | 4 | no | — |
| 594 | C2×C3×C4 | — | 14 | 4 | no | — |
| 595 | C2×C3×C4 | — | 14 | 4 | no | — |
| 596 | C3×C8 | — | 14 | 2 | no | — |
| 597 | C3×C8 | — | 14 | 2 | no | — |
| 598 | ΓL(1,𝔽8) | #3021 | 1 | 1 | yes | characteristic, complemented, Hall |
| 599 | C24 | — | 14 | 1 | no | — |
| 600 | #41 | — | 2 | 1 | no | — |
| 601 | #41 | — | 2 | 1 | no | — |
| 602 | #41 | — | 7 | 2 | no | — |
| 603 | #41 | — | 7 | 2 | no | — |
| 604 | #41 | — | 14 | 2 | no | — |
| 605 | #41 | — | 14 | 2 | no | — |
| 606 | #41 | — | 14 | 4 | no | — |
| 607 | #41 | — | 14 | 4 | no | — |
| 608 | #41 | — | 14 | 4 | no | — |
| 609 | #41 | — | 14 | 4 | no | — |
| 610 | #41 | — | 14 | 2 | no | — |
| 611 | #41 | — | 14 | 2 | no | — |
| 612 | #41 | — | 14 | 2 | no | — |
| 613 | #41 | — | 14 | 2 | no | — |
| 614 | #41 | — | 14 | 1 | no | — |
| 615 | #41 | — | 14 | 1 | no | — |
| 616 | #41 | — | 14 | 1 | no | — |
| 617 | #41 | — | 14 | 1 | no | — |
| 618 | #41 | — | 14 | 1 | no | — |
| 619 | #41 | — | 14 | 1 | no | — |
| 620 | #41 | C4⋊AGL(1,𝔽7) | 1 | 2 | yes | complemented |
| 621 | #41 | C22×AGL(1,𝔽7) | 1 | 2 | yes | — |
| 622 | C2×Q8 | — | 7 | 1 | no | — |
| 623 | C2×Q8 | — | 7 | 1 | no | — |
| 624 | C2×Q8 | — | 14 | 2 | no | — |
| 625 | C2×Q8 | — | 14 | 2 | no | — |
| 626 | C2×Q8 | — | 14 | 2 | no | — |
| 627 | C2×Q8 | C4⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 628 | C2×D4 | — | 2 | 1 | no | — |
| 629 | C2×D4 | — | 7 | 2 | no | — |
| 630 | C2×D4 | — | 7 | 1 | no | — |
| 631 | C2×D4 | — | 7 | 1 | no | — |
| 632 | C2×D4 | — | 7 | 2 | no | — |
| 633 | C2×D4 | — | 14 | 2 | no | — |
| 634 | C2×D4 | — | 14 | 4 | no | — |
| 635 | C2×D4 | — | 14 | 4 | no | — |
| 636 | C2×D4 | — | 14 | 4 | no | — |
| 637 | C2×D4 | — | 14 | 2 | no | — |
| 638 | C2×D4 | — | 14 | 4 | no | — |
| 639 | C2×D4 | — | 14 | 1 | no | — |
| 640 | C2×D4 | — | 14 | 2 | no | — |
| 641 | C2×D4 | — | 14 | 1 | no | — |
| 642 | C2×D4 | — | 14 | 1 | no | — |
| 643 | C2×D4 | — | 14 | 1 | no | — |
| 644 | C2×D4 | — | 14 | 1 | no | — |
| 645 | C2×D4 | — | 14 | 1 | no | — |
| 646 | C2×D4 | C4⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 647 | C22×C4 | — | 2 | 1 | no | — |
| 648 | C22×C4 | — | 7 | 2 | no | — |
| 649 | C22×C4 | — | 14 | 4 | no | — |
| 650 | C22×C4 | — | 14 | 1 | no | — |
| 651 | C22×C4 | C22×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 652 | SD16 | — | 14 | 4 | no | — |
| 653 | SD16 | — | 14 | 4 | no | — |
| 654 | D8 | — | 14 | 4 | no | — |
| 655 | D8 | — | 14 | 4 | no | — |
| 656 | M16 | — | 2 | 1 | no | — |
| 657 | M16 | — | 7 | 2 | no | — |
| 658 | M16 | — | 14 | 1 | no | — |
| 659 | M16 | C22×AGL(1,𝔽7) | 1 | 2 | yes | — |
| 660 | C2×C8 | — | 2 | 1 | no | — |
| 661 | C2×C8 | — | 14 | 1 | no | — |
| 662 | C4⋊C4 | — | 2 | 1 | no | — |
| 663 | C22⋊C4 | — | 2 | 1 | no | — |
| 664 | C22⋊C4 | — | 14 | 4 | no | — |
| 665 | C42 | C22×AGL(1,𝔽7) | 1 | 2 | yes | — |
| 666 | C2×C7 | — | 2 | 1 | no | — |
| 667 | C2×C7 | — | 2 | 1 | no | — |
| 668 | C2×C7 | — | 2 | 1 | no | — |
| 669 | C2×C7 | — | 4 | 2 | no | — |
| 670 | C2×C7 | C2×C3×#120 | 1 | 1 | yes | characteristic |
| 671 | D7 | — | 4 | 2 | no | — |
| 672 | D7 | — | 4 | 2 | no | — |
| 673 | D7 | — | 8 | 2 | no | — |
| 674 | C22×C3 | — | 7 | 1 | no | — |
| 675 | C22×C3 | — | 7 | 1 | no | — |
| 676 | C22×C3 | — | 7 | 1 | no | — |
| 677 | C22×C3 | — | 14 | 2 | no | — |
| 678 | C22×C3 | — | 14 | 2 | no | — |
| 679 | C22×C3 | — | 14 | 2 | no | — |
| 680 | C22×C3 | — | 28 | 1 | no | — |
| 681 | C22×C3 | — | 28 | 2 | no | — |
| 682 | C22×C3 | — | 28 | 2 | no | — |
| 683 | C22×C3 | — | 28 | 4 | no | — |
| 684 | C22×C3 | — | 56 | 1 | no | — |
| 685 | C22×C3 | — | 56 | 1 | no | — |
| 686 | C22×C3 | — | 56 | 2 | no | — |
| 687 | C22×C3 | — | 56 | 2 | no | — |
| 688 | C22×C3 | — | 56 | 4 | no | — |
| 689 | C3×C4 | — | 7 | 1 | no | — |
| 690 | C3×C4 | — | 7 | 1 | no | — |
| 691 | C3×C4 | — | 7 | 1 | no | — |
| 692 | C3×C4 | — | 7 | 1 | no | — |
| 693 | C3×C4 | — | 14 | 2 | no | — |
| 694 | C3×C4 | — | 14 | 2 | no | — |
| 695 | C3×C4 | — | 14 | 2 | no | — |
| 696 | C3×C4 | — | 28 | 2 | no | — |
| 697 | C23 | — | 2 | 1 | no | — |
| 698 | C23 | — | 7 | 2 | no | — |
| 699 | C23 | — | 14 | 4 | no | — |
| 700 | C23 | — | 14 | 1 | no | — |
| 701 | C23 | — | 14 | 2 | no | — |
| 702 | C23 | — | 28 | 1 | no | — |
| 703 | C23 | — | 28 | 1 | no | — |
| 704 | C23 | — | 56 | 2 | no | — |
| 705 | C23 | D4×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 706 | Q8 | — | 2 | 1 | no | — |
| 707 | Q8 | — | 7 | 2 | no | — |
| 708 | Q8 | — | 14 | 4 | no | — |
| 709 | Q8 | — | 14 | 1 | no | — |
| 710 | Q8 | — | 14 | 1 | no | — |
| 711 | Q8 | — | 14 | 1 | no | — |
| 712 | Q8 | C2×C4⋊AGL(1,𝔽7) | 1 | 2 | yes | — |
| 713 | D4 | — | 2 | 2 | no | — |
| 714 | D4 | — | 2 | 2 | no | — |
| 715 | D4 | — | 2 | 1 | no | — |
| 716 | D4 | — | 7 | 2 | no | — |
| 717 | D4 | — | 14 | 4 | no | — |
| 718 | D4 | — | 14 | 4 | no | — |
| 719 | D4 | — | 14 | 4 | no | — |
| 720 | D4 | — | 14 | 2 | no | — |
| 721 | D4 | — | 14 | 2 | no | — |
| 722 | D4 | — | 14 | 2 | no | — |
| 723 | D4 | — | 14 | 2 | no | — |
| 724 | D4 | — | 14 | 1 | no | — |
| 725 | D4 | — | 14 | 1 | no | — |
| 726 | D4 | — | 14 | 2 | no | — |
| 727 | D4 | — | 14 | 1 | no | — |
| 728 | D4 | — | 14 | 2 | no | — |
| 729 | D4 | — | 28 | 1 | no | — |
| 730 | D4 | — | 28 | 1 | no | — |
| 731 | D4 | — | 56 | 4 | no | — |
| 732 | D4 | C2×C4⋊AGL(1,𝔽7) | 1 | 2 | yes | — |
| 733 | C2×C4 | — | 2 | 1 | no | — |
| 734 | C2×C4 | — | 2 | 2 | no | — |
| 735 | C2×C4 | — | 2 | 2 | no | — |
| 736 | C2×C4 | — | 2 | 2 | no | — |
| 737 | C2×C4 | — | 7 | 2 | no | — |
| 738 | C2×C4 | — | 14 | 4 | no | — |
| 739 | C2×C4 | — | 14 | 4 | no | — |
| 740 | C2×C4 | — | 14 | 4 | no | — |
| 741 | C2×C4 | — | 14 | 1 | no | — |
| 742 | C2×C4 | — | 14 | 2 | no | — |
| 743 | C2×C4 | — | 14 | 2 | no | — |
| 744 | C2×C4 | — | 14 | 2 | no | — |
| 745 | C2×C4 | — | 14 | 2 | no | — |
| 746 | C2×C4 | C2×C4⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 747 | C2×C4 | C2×C4⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 748 | C2×C4 | D4×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 749 | C2×C4 | D4×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 750 | C2×C4 | D4×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 751 | C2×C4 | C23×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 752 | C8 | — | 2 | 2 | no | — |
| 753 | C8 | — | 14 | 2 | no | — |
| 754 | C7 | C3×#3021 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 755 | C2×C3 | — | 7 | 1 | no | — |
| 756 | C2×C3 | — | 14 | 1 | no | — |
| 757 | C2×C3 | — | 14 | 1 | no | — |
| 758 | C2×C3 | — | 14 | 1 | no | — |
| 759 | C2×C3 | — | 28 | 2 | no | — |
| 760 | C2×C3 | — | 28 | 2 | no | — |
| 761 | C2×C3 | — | 28 | 2 | no | — |
| 762 | C2×C3 | — | 56 | 2 | no | — |
| 763 | C22 | — | 2 | 2 | no | — |
| 764 | C22 | — | 4 | 1 | no | — |
| 765 | C22 | — | 8 | 1 | no | — |
| 766 | C22 | — | 14 | 2 | no | — |
| 767 | C22 | — | 14 | 2 | no | — |
| 768 | C22 | — | 28 | 2 | no | — |
| 769 | C22 | — | 28 | 4 | no | — |
| 770 | C22 | — | 28 | 2 | no | — |
| 771 | C22 | — | 56 | 1 | no | — |
| 772 | C22 | — | 56 | 2 | no | — |
| 773 | C22 | — | 56 | 2 | no | — |
| 774 | C22 | — | 56 | 4 | no | — |
| 775 | C22 | #6445⋊C3 | 1 | 1 | yes | characteristic |
| 776 | C22 | #6445⋊C3 | 1 | 1 | yes | characteristic |
| 777 | C22 | C2×D4×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 778 | C4 | — | 2 | 2 | no | — |
| 779 | C4 | — | 4 | 2 | no | — |
| 780 | C4 | — | 14 | 2 | no | — |
| 781 | C4 | — | 14 | 2 | no | — |
| 782 | C4 | #6445⋊C3 | 1 | 1 | yes | characteristic |
| 783 | C4 | #6445⋊C3 | 1 | 1 | yes | characteristic |
| 784 | C4 | C22×C4⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 785 | C4 | C2×D4×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 786 | C3 | — | 7 | 1 | no | Sylow |
| 787 | C2 | — | 2 | 1 | no | — |
| 788 | C2 | — | 2 | 1 | no | — |
| 789 | C2 | — | 2 | 1 | no | — |
| 790 | C2 | — | 4 | 2 | no | — |
| 791 | C2 | — | 28 | 2 | no | — |
| 792 | C2 | — | 28 | 2 | no | — |
| 793 | C2 | — | 56 | 2 | no | — |
| 794 | C2 | C2×#6445⋊C3 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta