| 1 | #13062154 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#10621518 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | ΓL(1,𝔽8)×#568 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13057486 | C2 | 1 | 8 | yes | maximal, complemented |
| 5 | #13057485 | C2 | 1 | 8 | yes | maximal, complemented |
| 6 | #90439⋊C3 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | C2×#6471⋊C3 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | #11744235 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 9 | C2×#41×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic |
| 10 | #10621519 | C22 | 1 | 4 | yes | complemented |
| 11 | #10621518 | — | 2 | 4 | no | — |
| 12 | #10621518 | C22 | 1 | 8 | yes | complemented |
| 13 | #10621518 | C22 | 1 | 4 | yes | complemented |
| 14 | #41×AGL(1,𝔽7) | — | 2 | 4 | no | — |
| 15 | #10621516 | — | 2 | 1 | no | — |
| 16 | C2×#66659 | — | 2 | 1 | no | — |
| 17 | #6548⋊C3 | — | 2 | 3 | no | — |
| 18 | C2×D4×AGL(1,𝔽7) | — | 2 | 3 | no | — |
| 19 | C2×#1157⋊C3 | C22 | 1 | 3 | yes | complemented |
| 20 | C2×#1157⋊C3 | C22 | 1 | 6 | yes | complemented |
| 21 | C22×C4⋊AGL(1,𝔽7) | C22 | 1 | 3 | yes | complemented |
| 22 | ΓL(1,𝔽8)×#131 | C22 | 1 | 8 | yes | complemented |
| 23 | C2×M16×ΓL(1,𝔽8) | C22 | 1 | 6 | yes | complemented |
| 24 | #6472⋊C3 | C22 | 1 | 4 | yes | complemented |
| 25 | #6472⋊C3 | C22 | 1 | 12 | yes | complemented |
| 26 | #6471⋊C3 | C22 | 1 | 12 | yes | complemented |
| 27 | #6471⋊C3 | C22 | 1 | 24 | yes | complemented |
| 28 | #6471⋊C3 | C22 | 1 | 12 | yes | complemented |
| 29 | #6467⋊C3 | C22 | 1 | 24 | yes | complemented |
| 30 | C2×D56⋊C3 | C22 | 1 | 12 | yes | complemented |
| 31 | C2×#1132⋊C3 | C22 | 1 | 12 | yes | complemented |
| 32 | #90616 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×#6553 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 34 | C7×#568 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 35 | #90443 | C2×C3 | 1 | 8 | yes | complemented |
| 36 | #90442 | C2×C3 | 1 | 8 | yes | complemented |
| 37 | #90439 | C2×C3 | 1 | 6 | yes | complemented |
| 38 | C2×#6471 | C2×C3 | 1 | 6 | yes | complemented |
| 39 | C3×#3585 | — | 7 | 1 | no | maximal, Hall |
| 40 | C23×AGL(1,𝔽7) | — | 2 | 3 | no | — |
| 41 | #41×ΓL(1,𝔽8) | D4 | 1 | 4 | yes | — |
| 42 | #41×ΓL(1,𝔽8) | C23 | 1 | 4 | yes | — |
| 43 | C2×Q8×ΓL(1,𝔽8) | D4 | 1 | 1 | yes | characteristic |
| 44 | C2×D4×ΓL(1,𝔽8) | D4 | 1 | 3 | yes | — |
| 45 | C22×C4×ΓL(1,𝔽8) | C23 | 1 | 3 | yes | — |
| 46 | C2×(C22⋊D7)⋊C3 | — | 2 | 3 | no | — |
| 47 | C2×(C22⋊D7)⋊C3 | — | 2 | 6 | no | — |
| 48 | #66659 | — | 2 | 8 | no | — |
| 49 | #66659 | — | 2 | 4 | no | — |
| 50 | Q8×AGL(1,𝔽7) | — | 2 | 4 | no | — |
| 51 | #1159⋊C3 | — | 2 | 12 | no | — |
| 52 | D4×AGL(1,𝔽7) | — | 2 | 24 | no | — |
| 53 | D4×AGL(1,𝔽7) | — | 2 | 12 | no | — |
| 54 | #1157⋊C3 | — | 2 | 6 | no | — |
| 55 | #1157⋊C3 | — | 2 | 6 | no | — |
| 56 | #1157⋊C3 | — | 2 | 6 | no | — |
| 57 | #1157⋊C3 | C23 | 1 | 12 | yes | — |
| 58 | #1157⋊C3 | C23 | 1 | 4 | yes | — |
| 59 | #1157⋊C3 | C23 | 1 | 12 | yes | complemented |
| 60 | C2×C4⋊AGL(1,𝔽7) | — | 2 | 3 | no | — |
| 61 | C2×C4⋊AGL(1,𝔽7) | — | 2 | 6 | no | — |
| 62 | C2×C4⋊AGL(1,𝔽7) | C23 | 1 | 12 | yes | — |
| 63 | C2×C4⋊AGL(1,𝔽7) | C23 | 1 | 3 | yes | — |
| 64 | C2×C4⋊AGL(1,𝔽7) | C23 | 1 | 6 | yes | complemented |
| 65 | C2×C4×AGL(1,𝔽7) | — | 2 | 3 | no | — |
| 66 | C2×C4×AGL(1,𝔽7) | — | 2 | 6 | no | — |
| 67 | C2×ΓL(1,𝔽8)⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 68 | C2×ΓL(1,𝔽8)⋊Q8 | C23 | 1 | 6 | yes | complemented |
| 69 | M16×ΓL(1,𝔽8) | C23 | 1 | 4 | yes | — |
| 70 | M16×ΓL(1,𝔽8) | C23 | 1 | 12 | yes | complemented |
| 71 | C2×C8×ΓL(1,𝔽8) | C23 | 1 | 12 | yes | complemented |
| 72 | Dic28⋊C3 | C23 | 1 | 8 | yes | complemented |
| 73 | D56⋊C3 | C23 | 1 | 24 | yes | complemented |
| 74 | #1132⋊C3 | C23 | 1 | 24 | yes | complemented |
| 75 | #1132⋊C3 | C23 | 1 | 8 | yes | complemented |
| 76 | C2×C7×#41 | C22×C3 | 1 | 1 | yes | characteristic |
| 77 | #6554 | C22×C3 | 1 | 4 | yes | complemented |
| 78 | #6553 | — | 2 | 4 | no | — |
| 79 | #6553 | C22×C3 | 1 | 8 | yes | complemented |
| 80 | #6553 | C22×C3 | 1 | 4 | yes | complemented |
| 81 | D7×#41 | — | 2 | 4 | no | — |
| 82 | #6551 | — | 2 | 1 | no | — |
| 83 | C2×#1161 | — | 2 | 1 | no | — |
| 84 | #6548 | — | 2 | 3 | no | — |
| 85 | C2×D4×D7 | — | 2 | 3 | no | — |
| 86 | C2×#1157 | C22×C3 | 1 | 3 | yes | complemented |
| 87 | C2×#1157 | C22×C3 | 1 | 6 | yes | complemented |
| 88 | C22×D28 | C22×C3 | 1 | 3 | yes | complemented |
| 89 | C7×#131 | C22×C3 | 1 | 8 | yes | complemented |
| 90 | C2×C7×M16 | C22×C3 | 1 | 6 | yes | complemented |
| 91 | #6472 | C22×C3 | 1 | 4 | yes | complemented |
| 92 | #6472 | C22×C3 | 1 | 12 | yes | complemented |
| 93 | #6471 | C22×C3 | 1 | 12 | yes | complemented |
| 94 | #6471 | C22×C3 | 1 | 24 | yes | complemented |
| 95 | #6471 | C22×C3 | 1 | 12 | yes | complemented |
| 96 | #6467 | C22×C3 | 1 | 24 | yes | complemented |
| 97 | C2×D56 | C22×C3 | 1 | 12 | yes | complemented |
| 98 | C2×#1132 | C22×C3 | 1 | 12 | yes | complemented |
| 99 | C3×#585 | — | 7 | 1 | no | — |
| 100 | C2×C3×H(5,𝔽2) | — | 7 | 1 | no | — |
| 101 | C3×#577 | — | 7 | 8 | no | — |
| 102 | C3×#576 | — | 7 | 8 | no | — |
| 103 | C3×#575 | — | 7 | 6 | no | — |
| 104 | C2×C3×AGL(1,ℤ/8) | — | 7 | 6 | no | — |
| 105 | C3×#568 | — | 7 | 1 | no | — |
| 106 | C23×ΓL(1,𝔽8) | C2×D4 | 1 | 3 | yes | — |
| 107 | C22×AGL(1,𝔽7) | — | 2 | 3 | no | — |
| 108 | C22×AGL(1,𝔽7) | — | 2 | 6 | no | — |
| 109 | C22×AGL(1,𝔽7) | — | 2 | 12 | no | — |
| 110 | C22×AGL(1,𝔽7) | — | 8 | 6 | no | — |
| 111 | Q8×ΓL(1,𝔽8) | C2×D4 | 1 | 4 | yes | — |
| 112 | D4×ΓL(1,𝔽8) | C2×D4 | 1 | 12 | yes | — |
| 113 | C2×C4×ΓL(1,𝔽8) | C2×D4 | 1 | 3 | yes | — |
| 114 | C2×C4×ΓL(1,𝔽8) | C2×D4 | 1 | 6 | yes | — |
| 115 | C2×C4×ΓL(1,𝔽8) | C24 | 1 | 6 | yes | — |
| 116 | C2×C4×ΓL(1,𝔽8) | C24 | 1 | 1 | yes | characteristic |
| 117 | (C22⋊D7)⋊C3 | — | 2 | 4 | no | — |
| 118 | (C22⋊D7)⋊C3 | — | 2 | 12 | no | — |
| 119 | (C22⋊D7)⋊C3 | — | 2 | 12 | no | — |
| 120 | C2×ΓL(1,𝔽8)⋊C4 | — | 2 | 1 | no | — |
| 121 | C2×ΓL(1,𝔽8)⋊C4 | — | 2 | 6 | no | — |
| 122 | C4⋊AGL(1,𝔽7) | — | 2 | 3 | no | — |
| 123 | C4⋊AGL(1,𝔽7) | — | 2 | 12 | no | — |
| 124 | C4⋊AGL(1,𝔽7) | — | 2 | 6 | no | — |
| 125 | C4⋊AGL(1,𝔽7) | C24 | 1 | 6 | yes | — |
| 126 | C4⋊AGL(1,𝔽7) | C24 | 1 | 4 | yes | — |
| 127 | C4×AGL(1,𝔽7) | — | 2 | 4 | no | — |
| 128 | C4×AGL(1,𝔽7) | — | 2 | 12 | no | — |
| 129 | C4×AGL(1,𝔽7) | — | 2 | 12 | no | — |
| 130 | ΓL(1,𝔽8)⋊Q8 | — | 2 | 1 | no | — |
| 131 | ΓL(1,𝔽8)⋊Q8 | — | 2 | 6 | no | — |
| 132 | ΓL(1,𝔽8)⋊Q8 | C24 | 1 | 2 | yes | — |
| 133 | ΓL(1,𝔽8)⋊Q8 | C24 | 1 | 4 | yes | — |
| 134 | C8×ΓL(1,𝔽8) | C24 | 1 | 8 | yes | — |
| 135 | #3585 | — | 7 | 1 | no | Sylow |
| 136 | C23×D7 | — | 2 | 3 | no | — |
| 137 | C7×#41 | C3×D4 | 1 | 4 | yes | — |
| 138 | C7×#41 | C23×C3 | 1 | 4 | yes | — |
| 139 | C2×C7×Q8 | C3×D4 | 1 | 1 | yes | characteristic |
| 140 | C2×C7×D4 | C3×D4 | 1 | 3 | yes | — |
| 141 | C22×C4×C7 | C23×C3 | 1 | 3 | yes | — |
| 142 | C2×C22⋊D7 | — | 2 | 3 | no | — |
| 143 | C2×C22⋊D7 | — | 2 | 6 | no | — |
| 144 | #1161 | — | 2 | 8 | no | — |
| 145 | #1161 | — | 2 | 4 | no | — |
| 146 | Q8×D7 | — | 2 | 4 | no | — |
| 147 | #1159 | — | 2 | 12 | no | — |
| 148 | D4×D7 | — | 2 | 24 | no | — |
| 149 | D4×D7 | — | 2 | 12 | no | — |
| 150 | #1157 | — | 2 | 6 | no | — |
| 151 | #1157 | — | 2 | 6 | no | — |
| 152 | #1157 | — | 2 | 6 | no | — |
| 153 | #1157 | C23×C3 | 1 | 12 | yes | — |
| 154 | #1157 | C23×C3 | 1 | 4 | yes | — |
| 155 | #1157 | C23×C3 | 1 | 12 | yes | complemented |
| 156 | C2×D28 | — | 2 | 3 | no | — |
| 157 | C2×D28 | — | 2 | 6 | no | — |
| 158 | C2×D28 | C23×C3 | 1 | 12 | yes | — |
| 159 | C2×D28 | C23×C3 | 1 | 3 | yes | — |
| 160 | C2×D28 | C23×C3 | 1 | 6 | yes | complemented |
| 161 | C2×C4×D7 | — | 2 | 3 | no | — |
| 162 | C2×C4×D7 | — | 2 | 6 | no | — |
| 163 | C2×Dic14 | C23×C3 | 1 | 1 | yes | characteristic |
| 164 | C2×Dic14 | C23×C3 | 1 | 6 | yes | complemented |
| 165 | C7×M16 | C23×C3 | 1 | 4 | yes | — |
| 166 | C7×M16 | C23×C3 | 1 | 12 | yes | complemented |
| 167 | C2×C7×C8 | C23×C3 | 1 | 12 | yes | complemented |
| 168 | Dic28 | C23×C3 | 1 | 8 | yes | complemented |
| 169 | D56 | C23×C3 | 1 | 24 | yes | complemented |
| 170 | #1132 | C23×C3 | 1 | 24 | yes | complemented |
| 171 | #1132 | C23×C3 | 1 | 8 | yes | complemented |
| 172 | C3×2−1+4 | — | 7 | 4 | no | — |
| 173 | C3×2−1+4 | — | 14 | 1 | no | — |
| 174 | C3×H(5,𝔽2) | — | 7 | 4 | no | — |
| 175 | C3×H(5,𝔽2) | — | 7 | 8 | no | — |
| 176 | C3×H(5,𝔽2) | — | 14 | 3 | no | — |
| 177 | C3×H(5,𝔽2) | — | 14 | 4 | no | — |
| 178 | C2×C3×#41 | — | 7 | 6 | no | — |
| 179 | C2×C3×#41 | — | 7 | 3 | no | — |
| 180 | C2×C3×#41 | — | 7 | 1 | no | — |
| 181 | C2×C3×#41 | — | 14 | 1 | no | — |
| 182 | C2×C3×#41 | — | 14 | 4 | no | — |
| 183 | C22×C3×D4 | — | 7 | 3 | no | — |
| 184 | C22×C3×D4 | — | 14 | 3 | no | — |
| 185 | C3×#137 | — | 7 | 4 | no | — |
| 186 | C3×#137 | — | 7 | 12 | no | — |
| 187 | C3×AGL(1,ℤ/8) | — | 7 | 12 | no | — |
| 188 | C3×AGL(1,ℤ/8) | — | 7 | 24 | no | — |
| 189 | C3×AGL(1,ℤ/8) | — | 7 | 12 | no | — |
| 190 | C3×#135 | — | 7 | 24 | no | — |
| 191 | C2×C3×SD16 | — | 7 | 12 | no | — |
| 192 | C2×C3×D8 | — | 7 | 12 | no | — |
| 193 | C3×#131 | — | 7 | 8 | no | — |
| 194 | C2×C3×M16 | — | 7 | 6 | no | — |
| 195 | C22×ΓL(1,𝔽8) | — | 4 | 3 | no | — |
| 196 | C22×ΓL(1,𝔽8) | C22×D4 | 1 | 1 | yes | characteristic |
| 197 | C22×ΓL(1,𝔽8) | C22×D4 | 1 | 6 | yes | — |
| 198 | C2×AGL(1,𝔽7) | — | 2 | 4 | no | — |
| 199 | C2×AGL(1,𝔽7) | — | 2 | 6 | no | — |
| 200 | C2×AGL(1,𝔽7) | — | 4 | 6 | no | — |
| 201 | C2×AGL(1,𝔽7) | — | 8 | 6 | no | — |
| 202 | C2×AGL(1,𝔽7) | — | 8 | 12 | no | — |
| 203 | C4×ΓL(1,𝔽8) | C22×D4 | 1 | 1 | yes | characteristic |
| 204 | C4×ΓL(1,𝔽8) | C22×D4 | 1 | 6 | yes | — |
| 205 | C4×ΓL(1,𝔽8) | C25 | 1 | 1 | yes | characteristic |
| 206 | ΓL(1,𝔽8)⋊C4 | — | 2 | 4 | no | — |
| 207 | ΓL(1,𝔽8)⋊C4 | — | 2 | 2 | no | — |
| 208 | #585 | — | 7 | 1 | no | — |
| 209 | C2×H(5,𝔽2) | — | 7 | 1 | no | — |
| 210 | #577 | — | 7 | 8 | no | — |
| 211 | #576 | — | 7 | 8 | no | — |
| 212 | #575 | — | 7 | 6 | no | — |
| 213 | C2×AGL(1,ℤ/8) | — | 7 | 6 | no | — |
| 214 | #568 | AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 215 | C23×C7 | C2×C3×D4 | 1 | 3 | yes | — |
| 216 | C22×D7 | — | 2 | 3 | no | — |
| 217 | C22×D7 | — | 2 | 6 | no | — |
| 218 | C22×D7 | — | 2 | 12 | no | — |
| 219 | C22×D7 | — | 8 | 6 | no | — |
| 220 | C7×Q8 | C2×C3×D4 | 1 | 4 | yes | — |
| 221 | C7×D4 | C2×C3×D4 | 1 | 12 | yes | — |
| 222 | C2×C4×C7 | C2×C3×D4 | 1 | 3 | yes | — |
| 223 | C2×C4×C7 | C2×C3×D4 | 1 | 6 | yes | — |
| 224 | C2×C4×C7 | C24×C3 | 1 | 6 | yes | — |
| 225 | C2×C4×C7 | C24×C3 | 1 | 1 | yes | characteristic |
| 226 | C22⋊D7 | — | 2 | 4 | no | — |
| 227 | C22⋊D7 | — | 2 | 12 | no | — |
| 228 | C22⋊D7 | — | 2 | 12 | no | — |
| 229 | C2×Dic7 | — | 2 | 1 | no | — |
| 230 | C2×Dic7 | — | 2 | 6 | no | — |
| 231 | D28 | — | 2 | 3 | no | — |
| 232 | D28 | — | 2 | 12 | no | — |
| 233 | D28 | — | 2 | 6 | no | — |
| 234 | D28 | C24×C3 | 1 | 6 | yes | — |
| 235 | D28 | C24×C3 | 1 | 4 | yes | — |
| 236 | C4×D7 | — | 2 | 4 | no | — |
| 237 | C4×D7 | — | 2 | 12 | no | — |
| 238 | C4×D7 | — | 2 | 12 | no | — |
| 239 | Dic14 | — | 2 | 1 | no | — |
| 240 | Dic14 | — | 2 | 6 | no | — |
| 241 | Dic14 | C24×C3 | 1 | 4 | yes | — |
| 242 | Dic14 | C24×C3 | 1 | 2 | yes | — |
| 243 | C7×C8 | C24×C3 | 1 | 8 | yes | — |
| 244 | C24×C3 | — | 14 | 3 | no | — |
| 245 | C3×#41 | — | 7 | 12 | no | — |
| 246 | C3×#41 | — | 7 | 4 | no | — |
| 247 | C3×#41 | — | 7 | 12 | no | — |
| 248 | C3×#41 | — | 7 | 4 | no | — |
| 249 | C3×#41 | — | 7 | 4 | no | — |
| 250 | C3×#41 | — | 14 | 6 | no | — |
| 251 | C3×#41 | — | 14 | 6 | no | — |
| 252 | C3×#41 | — | 14 | 6 | no | — |
| 253 | C3×#41 | — | 14 | 12 | no | — |
| 254 | C3×#41 | — | 14 | 8 | no | — |
| 255 | C3×#41 | — | 14 | 4 | no | — |
| 256 | C2×C3×Q8 | — | 7 | 1 | no | — |
| 257 | C2×C3×Q8 | — | 7 | 6 | no | — |
| 258 | C2×C3×Q8 | — | 7 | 1 | no | — |
| 259 | C2×C3×Q8 | — | 14 | 4 | no | — |
| 260 | C2×C3×D4 | — | 7 | 12 | no | — |
| 261 | C2×C3×D4 | — | 7 | 3 | no | — |
| 262 | C2×C3×D4 | — | 7 | 6 | no | — |
| 263 | C2×C3×D4 | — | 7 | 3 | no | — |
| 264 | C2×C3×D4 | — | 14 | 3 | no | — |
| 265 | C2×C3×D4 | — | 14 | 6 | no | — |
| 266 | C2×C3×D4 | — | 14 | 24 | no | — |
| 267 | C2×C3×D4 | — | 14 | 12 | no | — |
| 268 | C2×C3×D4 | — | 14 | 3 | no | — |
| 269 | C2×C3×D4 | — | 14 | 6 | no | — |
| 270 | C22×C3×C4 | — | 7 | 3 | no | — |
| 271 | C22×C3×C4 | — | 14 | 3 | no | — |
| 272 | C22×C3×C4 | — | 14 | 6 | no | — |
| 273 | C3×Q16 | — | 7 | 8 | no | — |
| 274 | C3×SD16 | — | 7 | 24 | no | — |
| 275 | C3×SD16 | — | 7 | 8 | no | — |
| 276 | C3×D8 | — | 7 | 24 | no | — |
| 277 | C3×M16 | — | 7 | 4 | no | — |
| 278 | C3×M16 | — | 7 | 12 | no | — |
| 279 | C2×C3×C8 | — | 7 | 12 | no | — |
| 280 | C2×ΓL(1,𝔽8) | — | 2 | 1 | no | — |
| 281 | C2×ΓL(1,𝔽8) | — | 2 | 6 | no | — |
| 282 | C2×ΓL(1,𝔽8) | C23×D4 | 1 | 1 | yes | characteristic |
| 283 | AGL(1,𝔽7) | — | 4 | 6 | no | — |
| 284 | AGL(1,𝔽7) | — | 4 | 4 | no | — |
| 285 | 2−1+4 | — | 7 | 4 | no | — |
| 286 | 2−1+4 | — | 14 | 1 | no | — |
| 287 | H(5,𝔽2) | — | 7 | 4 | no | — |
| 288 | H(5,𝔽2) | — | 7 | 8 | no | — |
| 289 | H(5,𝔽2) | — | 14 | 4 | no | — |
| 290 | H(5,𝔽2) | — | 14 | 3 | no | — |
| 291 | C2×#41 | — | 7 | 6 | no | — |
| 292 | C2×#41 | — | 7 | 3 | no | — |
| 293 | C2×#41 | — | 14 | 4 | no | — |
| 294 | C2×#41 | — | 14 | 1 | no | — |
| 295 | C2×#41 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 296 | C22×D4 | — | 7 | 3 | no | — |
| 297 | C22×D4 | — | 14 | 3 | no | — |
| 298 | #137 | — | 7 | 4 | no | — |
| 299 | #137 | — | 7 | 12 | no | — |
| 300 | AGL(1,ℤ/8) | — | 7 | 12 | no | — |
| 301 | AGL(1,ℤ/8) | — | 7 | 24 | no | — |
| 302 | AGL(1,ℤ/8) | — | 7 | 12 | no | — |
| 303 | #135 | — | 7 | 24 | no | — |
| 304 | C2×SD16 | — | 7 | 12 | no | — |
| 305 | C2×D8 | — | 7 | 12 | no | — |
| 306 | #131 | C2×AGL(1,𝔽7) | 1 | 8 | yes | complemented |
| 307 | C2×M16 | C2×AGL(1,𝔽7) | 1 | 6 | yes | complemented |
| 308 | C22×C7 | — | 4 | 3 | no | — |
| 309 | C22×C7 | C22×C3×D4 | 1 | 1 | yes | characteristic |
| 310 | C22×C7 | C22×C3×D4 | 1 | 6 | yes | — |
| 311 | C2×D7 | — | 2 | 4 | no | — |
| 312 | C2×D7 | — | 2 | 6 | no | — |
| 313 | C2×D7 | — | 4 | 6 | no | — |
| 314 | C2×D7 | — | 8 | 12 | no | — |
| 315 | C2×D7 | — | 8 | 6 | no | — |
| 316 | C4×C7 | C22×C3×D4 | 1 | 1 | yes | characteristic |
| 317 | C4×C7 | C22×C3×D4 | 1 | 6 | yes | — |
| 318 | C4×C7 | C25×C3 | 1 | 1 | yes | characteristic |
| 319 | Dic7 | — | 2 | 4 | no | — |
| 320 | Dic7 | — | 2 | 2 | no | — |
| 321 | C23×C3 | — | 7 | 3 | no | — |
| 322 | C23×C3 | — | 14 | 3 | no | — |
| 323 | C23×C3 | — | 14 | 6 | no | — |
| 324 | C23×C3 | — | 14 | 12 | no | — |
| 325 | C23×C3 | — | 56 | 6 | no | — |
| 326 | C3×Q8 | — | 7 | 4 | no | — |
| 327 | C3×Q8 | — | 7 | 2 | no | — |
| 328 | C3×Q8 | — | 7 | 4 | no | — |
| 329 | C3×Q8 | — | 14 | 6 | no | — |
| 330 | C3×Q8 | — | 14 | 1 | no | — |
| 331 | C3×D4 | — | 7 | 4 | no | — |
| 332 | C3×D4 | — | 7 | 6 | no | — |
| 333 | C3×D4 | — | 7 | 12 | no | — |
| 334 | C3×D4 | — | 14 | 3 | no | — |
| 335 | C3×D4 | — | 14 | 12 | no | — |
| 336 | C3×D4 | — | 14 | 6 | no | — |
| 337 | C3×D4 | — | 14 | 12 | no | — |
| 338 | C3×D4 | — | 14 | 4 | no | — |
| 339 | C3×D4 | — | 14 | 12 | no | — |
| 340 | C2×C3×C4 | — | 7 | 3 | no | — |
| 341 | C2×C3×C4 | — | 7 | 6 | no | — |
| 342 | C2×C3×C4 | — | 7 | 6 | no | — |
| 343 | C2×C3×C4 | — | 7 | 1 | no | — |
| 344 | C2×C3×C4 | — | 14 | 4 | no | — |
| 345 | C2×C3×C4 | — | 14 | 12 | no | — |
| 346 | C2×C3×C4 | — | 14 | 12 | no | — |
| 347 | C2×C3×C4 | — | 14 | 1 | no | — |
| 348 | C2×C3×C4 | — | 14 | 6 | no | — |
| 349 | C3×C8 | — | 7 | 8 | no | — |
| 350 | ΓL(1,𝔽8) | #3585 | 1 | 1 | yes | characteristic, complemented, Hall |
| 351 | C24 | — | 14 | 3 | no | — |
| 352 | #41 | — | 7 | 12 | no | — |
| 353 | #41 | — | 7 | 4 | no | — |
| 354 | #41 | — | 7 | 12 | no | — |
| 355 | #41 | — | 14 | 8 | no | — |
| 356 | #41 | — | 14 | 4 | no | — |
| 357 | #41 | — | 14 | 12 | no | — |
| 358 | #41 | — | 14 | 6 | no | — |
| 359 | #41 | — | 14 | 6 | no | — |
| 360 | #41 | — | 14 | 6 | no | — |
| 361 | #41 | C4⋊AGL(1,𝔽7) | 1 | 4 | yes | — |
| 362 | #41 | C22×AGL(1,𝔽7) | 1 | 4 | yes | — |
| 363 | C2×Q8 | — | 7 | 1 | no | — |
| 364 | C2×Q8 | — | 7 | 6 | no | — |
| 365 | C2×Q8 | — | 14 | 4 | no | — |
| 366 | C2×Q8 | C4⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 367 | C2×D4 | — | 7 | 6 | no | — |
| 368 | C2×D4 | — | 7 | 12 | no | — |
| 369 | C2×D4 | — | 7 | 3 | no | — |
| 370 | C2×D4 | — | 14 | 3 | no | — |
| 371 | C2×D4 | — | 14 | 6 | no | — |
| 372 | C2×D4 | — | 14 | 24 | no | — |
| 373 | C2×D4 | — | 14 | 12 | no | — |
| 374 | C2×D4 | — | 14 | 3 | no | — |
| 375 | C2×D4 | — | 14 | 6 | no | — |
| 376 | C2×D4 | C4⋊AGL(1,𝔽7) | 1 | 3 | yes | — |
| 377 | C22×C4 | — | 14 | 3 | no | — |
| 378 | C22×C4 | — | 14 | 6 | no | — |
| 379 | C22×C4 | C22×AGL(1,𝔽7) | 1 | 3 | yes | — |
| 380 | Q16 | — | 7 | 8 | no | — |
| 381 | SD16 | — | 7 | 24 | no | — |
| 382 | SD16 | — | 7 | 8 | no | — |
| 383 | D8 | — | 7 | 24 | no | — |
| 384 | M16 | C22×AGL(1,𝔽7) | 1 | 4 | yes | — |
| 385 | M16 | C22×AGL(1,𝔽7) | 1 | 12 | yes | complemented |
| 386 | C2×C8 | C22×AGL(1,𝔽7) | 1 | 12 | yes | complemented |
| 387 | C2×C7 | — | 2 | 1 | no | — |
| 388 | C2×C7 | — | 2 | 6 | no | — |
| 389 | C2×C7 | C23×C3×D4 | 1 | 1 | yes | characteristic |
| 390 | D7 | — | 4 | 6 | no | — |
| 391 | D7 | — | 4 | 4 | no | — |
| 392 | C22×C3 | — | 7 | 1 | no | — |
| 393 | C22×C3 | — | 7 | 6 | no | — |
| 394 | C22×C3 | — | 14 | 4 | no | — |
| 395 | C22×C3 | — | 14 | 6 | no | — |
| 396 | C22×C3 | — | 28 | 3 | no | — |
| 397 | C22×C3 | — | 28 | 6 | no | — |
| 398 | C22×C3 | — | 56 | 12 | no | — |
| 399 | C22×C3 | — | 56 | 6 | no | — |
| 400 | C3×C4 | — | 7 | 1 | no | — |
| 401 | C3×C4 | — | 7 | 6 | no | — |
| 402 | C3×C4 | — | 7 | 1 | no | — |
| 403 | C3×C4 | — | 14 | 2 | no | — |
| 404 | C3×C4 | — | 14 | 4 | no | — |
| 405 | C23 | — | 14 | 3 | no | — |
| 406 | C23 | — | 14 | 6 | no | — |
| 407 | C23 | — | 14 | 12 | no | — |
| 408 | C23 | — | 56 | 6 | no | — |
| 409 | C23 | C2×C4⋊AGL(1,𝔽7) | 1 | 3 | yes | — |
| 410 | Q8 | — | 7 | 4 | no | — |
| 411 | Q8 | — | 7 | 2 | no | — |
| 412 | Q8 | — | 14 | 6 | no | — |
| 413 | Q8 | — | 14 | 1 | no | — |
| 414 | Q8 | C2×C4⋊AGL(1,𝔽7) | 1 | 4 | yes | — |
| 415 | D4 | — | 7 | 4 | no | — |
| 416 | D4 | — | 7 | 6 | no | — |
| 417 | D4 | — | 14 | 12 | no | — |
| 418 | D4 | — | 14 | 4 | no | — |
| 419 | D4 | — | 14 | 12 | no | — |
| 420 | D4 | — | 14 | 3 | no | — |
| 421 | D4 | — | 14 | 12 | no | — |
| 422 | D4 | — | 14 | 6 | no | — |
| 423 | D4 | C2×C4⋊AGL(1,𝔽7) | 1 | 12 | yes | — |
| 424 | C2×C4 | — | 14 | 1 | no | — |
| 425 | C2×C4 | — | 14 | 6 | no | — |
| 426 | C2×C4 | — | 14 | 4 | no | — |
| 427 | C2×C4 | — | 14 | 12 | no | — |
| 428 | C2×C4 | — | 14 | 12 | no | — |
| 429 | C2×C4 | C2×C4⋊AGL(1,𝔽7) | 1 | 3 | yes | — |
| 430 | C2×C4 | C2×C4⋊AGL(1,𝔽7) | 1 | 6 | yes | — |
| 431 | C2×C4 | C23×AGL(1,𝔽7) | 1 | 6 | yes | — |
| 432 | C2×C4 | C23×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 433 | C8 | C23×AGL(1,𝔽7) | 1 | 8 | yes | — |
| 434 | C7 | C3×#3585 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 435 | C2×C3 | — | 7 | 1 | no | — |
| 436 | C2×C3 | — | 14 | 1 | no | — |
| 437 | C2×C3 | — | 14 | 6 | no | — |
| 438 | C2×C3 | — | 28 | 6 | no | — |
| 439 | C2×C3 | — | 28 | 4 | no | — |
| 440 | C22 | — | 4 | 3 | no | — |
| 441 | C22 | — | 14 | 4 | no | — |
| 442 | C22 | — | 14 | 6 | no | — |
| 443 | C22 | — | 28 | 6 | no | — |
| 444 | C22 | — | 56 | 12 | no | — |
| 445 | C22 | — | 56 | 6 | no | — |
| 446 | C22 | C22×C4⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 447 | C22 | C22×C4⋊AGL(1,𝔽7) | 1 | 6 | yes | — |
| 448 | C4 | — | 14 | 2 | no | — |
| 449 | C4 | — | 14 | 4 | no | — |
| 450 | C4 | C22×C4⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 451 | C4 | C22×C4⋊AGL(1,𝔽7) | 1 | 6 | yes | — |
| 452 | C4 | C24×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 453 | C3 | — | 7 | 1 | no | Sylow |
| 454 | C2 | — | 2 | 1 | no | — |
| 455 | C2 | — | 2 | 6 | no | — |
| 456 | C2 | — | 28 | 6 | no | — |
| 457 | C2 | — | 28 | 4 | no | — |
| 458 | C2 | C23×C4⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta