Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
2026 conjugacy classes of subgroups.
The subgroup lattice has 784 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11744255 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#90457 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×C7×#510 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11741339 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#89951 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11739486 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #11739485 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #11739484 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | D7×#510 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #11739473 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #11739469 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #11739454 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11739452 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #90616 | — | 2 | 1 | no | — |
| 15 | C2×#6551 | — | 2 | 1 | no | — |
| 16 | C2×C7×#135 | C22 | 1 | 1 | yes | characteristic |
| 17 | C22×C7×Q16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | #90513 | — | 2 | 1 | no | — |
| 19 | C2×#6505 | — | 2 | 1 | no | — |
| 20 | #90462 | C22 | 1 | 2 | yes | complemented |
| 21 | #90461 | — | 2 | 2 | no | — |
| 22 | #90460 | C22 | 1 | 2 | yes | complemented |
| 23 | #90459 | — | 2 | 2 | no | — |
| 24 | D7×#135 | C22 | 1 | 4 | yes | — |
| 25 | #90457 | — | 2 | 2 | no | — |
| 26 | #90457 | — | 2 | 2 | no | — |
| 27 | #90457 | C22 | 1 | 4 | yes | complemented |
| 28 | #90457 | C22 | 1 | 2 | yes | complemented |
| 29 | #90457 | C22 | 1 | 4 | yes | complemented |
| 30 | C2×#6482 | C22 | 1 | 2 | yes | complemented |
| 31 | C2×#6481 | — | 2 | 2 | no | — |
| 32 | C2×D7×Q16 | C22 | 1 | 2 | yes | complemented |
| 33 | #90453 | — | 2 | 2 | no | — |
| 34 | #90448 | C22 | 1 | 2 | yes | complemented |
| 35 | C2×#6467 | C22 | 1 | 1 | yes | characteristic |
| 36 | C2×#6467 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | C2×#6464 | C22 | 1 | 1 | yes | characteristic |
| 38 | C7×#510 | C22 | 1 | 4 | yes | complemented |
| 39 | C7×#510 | C22 | 1 | 4 | yes | complemented |
| 40 | C2×C7×Q32 | C22 | 1 | 2 | yes | complemented |
| 41 | C2×C7×SD32 | C22 | 1 | 2 | yes | complemented |
| 42 | C2×C7×M32 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #89967 | C22 | 1 | 2 | yes | complemented |
| 44 | #89966 | C22 | 1 | 4 | yes | complemented |
| 45 | #89965 | C22 | 1 | 2 | yes | complemented |
| 46 | C2×#6403 | C22 | 1 | 2 | yes | complemented |
| 47 | #89951 | C22 | 1 | 4 | yes | complemented |
| 48 | #89951 | C22 | 1 | 2 | yes | complemented |
| 49 | #89951 | C22 | 1 | 4 | yes | complemented |
| 50 | C2×#6402 | C22 | 1 | 2 | yes | complemented |
| 51 | #89919 | C22 | 1 | 2 | yes | complemented |
| 52 | C2×#6386 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #89691 | C22 | 1 | 8 | yes | complemented |
| 54 | #89690 | C22 | 1 | 8 | yes | complemented |
| 55 | #89690 | C22 | 1 | 8 | yes | complemented |
| 56 | D7×Q32 | C22 | 1 | 8 | yes | complemented |
| 57 | #89688 | C22 | 1 | 8 | yes | complemented |
| 58 | #89687 | C22 | 1 | 8 | yes | complemented |
| 59 | #89686 | C22 | 1 | 8 | yes | complemented |
| 60 | D7×SD32 | C22 | 1 | 8 | yes | complemented |
| 61 | #89681 | C22 | 1 | 2 | yes | complemented |
| 62 | #89681 | C22 | 1 | 2 | yes | complemented |
| 63 | #89680 | C22 | 1 | 2 | yes | complemented |
| 64 | #89680 | C22 | 1 | 2 | yes | complemented |
| 65 | #89679 | C22 | 1 | 4 | yes | complemented |
| 66 | D7×M32 | C22 | 1 | 4 | yes | complemented |
| 67 | #89676 | C22 | 1 | 4 | yes | complemented |
| 68 | #89673 | C22 | 1 | 4 | yes | complemented |
| 69 | #62637 | — | 7 | 1 | no | maximal, Sylow |
| 70 | C2×C7×#41 | — | 2 | 1 | no | — |
| 71 | C22×C7×Q8 | — | 2 | 1 | no | — |
| 72 | #6554 | — | 2 | 2 | no | — |
| 73 | #6554 | — | 4 | 1 | no | — |
| 74 | #6553 | — | 2 | 2 | no | — |
| 75 | #6553 | — | 4 | 1 | no | — |
| 76 | D7×#41 | — | 2 | 4 | no | — |
| 77 | D7×#41 | — | 4 | 2 | no | — |
| 78 | #6551 | — | 2 | 2 | no | — |
| 79 | #6551 | — | 2 | 4 | no | — |
| 80 | #6551 | — | 2 | 4 | no | — |
| 81 | #6551 | — | 4 | 2 | no | — |
| 82 | #6551 | — | 4 | 2 | no | — |
| 83 | C2×#1161 | — | 2 | 2 | no | — |
| 84 | C2×#1161 | — | 4 | 1 | no | — |
| 85 | C2×Q8×D7 | — | 2 | 2 | no | — |
| 86 | C2×Q8×D7 | — | 4 | 1 | no | — |
| 87 | #6548 | — | 2 | 2 | no | — |
| 88 | #6548 | — | 4 | 2 | no | — |
| 89 | C2×#1157 | — | 2 | 1 | no | — |
| 90 | C2×#1157 | — | 2 | 1 | no | — |
| 91 | C2×#1157 | — | 4 | 2 | no | — |
| 92 | C2×#1157 | — | 4 | 2 | no | — |
| 93 | C2×#1157 | D4 | 1 | 1 | yes | characteristic |
| 94 | C7×#135 | — | 2 | 1 | no | — |
| 95 | C7×#135 | — | 2 | 1 | no | — |
| 96 | C7×#135 | C23 | 1 | 2 | yes | — |
| 97 | C7×#135 | C23 | 1 | 2 | yes | — |
| 98 | C2×C7×Q16 | — | 2 | 1 | no | — |
| 99 | C2×C7×Q16 | — | 2 | 1 | no | — |
| 100 | C2×C7×Q16 | — | 2 | 1 | no | — |
| 101 | C2×C7×Q16 | C23 | 1 | 2 | yes | — |
| 102 | C2×C7×Q16 | C23 | 1 | 1 | yes | characteristic |
| 103 | C2×C7×Q16 | C23 | 1 | 2 | yes | — |
| 104 | C2×C7×Q16 | C23 | 1 | 2 | yes | — |
| 105 | C2×C7×SD16 | — | 2 | 1 | no | — |
| 106 | C2×C7×D8 | C23 | 1 | 1 | yes | characteristic |
| 107 | C22×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 108 | #6514 | — | 2 | 2 | no | — |
| 109 | #6513 | — | 2 | 4 | no | — |
| 110 | #6512 | — | 2 | 2 | no | — |
| 111 | C2×#1144 | — | 2 | 2 | no | — |
| 112 | #6505 | — | 2 | 2 | no | — |
| 113 | #6505 | — | 2 | 4 | no | — |
| 114 | #6505 | — | 2 | 4 | no | — |
| 115 | C2×#1143 | — | 2 | 2 | no | — |
| 116 | #6495 | — | 2 | 2 | no | — |
| 117 | C2×#1136 | D4 | 1 | 1 | yes | characteristic |
| 118 | #6482 | — | 2 | 4 | no | — |
| 119 | #6482 | C23 | 1 | 8 | yes | — |
| 120 | #6482 | C23 | 1 | 4 | yes | — |
| 121 | #6481 | — | 2 | 8 | no | — |
| 122 | #6481 | — | 2 | 8 | no | — |
| 123 | #6481 | — | 2 | 4 | no | — |
| 124 | D7×Q16 | — | 2 | 4 | no | — |
| 125 | D7×Q16 | C23 | 1 | 8 | yes | — |
| 126 | D7×Q16 | C23 | 1 | 4 | yes | — |
| 127 | #6479 | — | 2 | 4 | no | — |
| 128 | #6478 | — | 2 | 4 | no | — |
| 129 | #6477 | — | 2 | 4 | no | — |
| 130 | D7×SD16 | — | 2 | 4 | no | — |
| 131 | #6475 | C23 | 1 | 4 | yes | — |
| 132 | #6474 | — | 2 | 4 | no | — |
| 133 | D7×D8 | C23 | 1 | 4 | yes | — |
| 134 | C2×Dic28 | C23 | 1 | 1 | yes | characteristic |
| 135 | C2×Dic28 | C23 | 1 | 1 | yes | characteristic |
| 136 | #6467 | — | 2 | 1 | no | — |
| 137 | #6467 | — | 2 | 1 | no | — |
| 138 | #6467 | — | 2 | 1 | no | — |
| 139 | #6467 | — | 2 | 1 | no | — |
| 140 | #6467 | C23 | 1 | 2 | yes | — |
| 141 | #6467 | C23 | 1 | 2 | yes | — |
| 142 | #6467 | C23 | 1 | 2 | yes | — |
| 143 | #6467 | C23 | 1 | 2 | yes | — |
| 144 | C2×D56 | C23 | 1 | 1 | yes | characteristic |
| 145 | C2×D56 | C23 | 1 | 1 | yes | characteristic |
| 146 | C2×#1132 | — | 2 | 1 | no | — |
| 147 | C2×#1132 | — | 2 | 1 | no | — |
| 148 | #6464 | D4 | 1 | 2 | yes | — |
| 149 | #6464 | D4 | 1 | 2 | yes | — |
| 150 | #6464 | C23 | 1 | 2 | yes | — |
| 151 | #6464 | C23 | 1 | 2 | yes | — |
| 152 | C2×#1131 | D4 | 1 | 2 | yes | — |
| 153 | C2×C8×D7 | C23 | 1 | 2 | yes | — |
| 154 | C7×Q32 | C23 | 1 | 8 | yes | — |
| 155 | C7×SD32 | C23 | 1 | 8 | yes | — |
| 156 | C7×M32 | C23 | 1 | 2 | yes | — |
| 157 | C7×M32 | C23 | 1 | 2 | yes | — |
| 158 | C2×C7×C16 | C23 | 1 | 2 | yes | — |
| 159 | #6403 | C23 | 1 | 8 | yes | — |
| 160 | #6403 | C23 | 1 | 4 | yes | — |
| 161 | #6402 | C23 | 1 | 8 | yes | — |
| 162 | #6402 | C23 | 1 | 4 | yes | — |
| 163 | #6401 | C23 | 1 | 4 | yes | — |
| 164 | #6400 | C23 | 1 | 4 | yes | — |
| 165 | #6386 | C23 | 1 | 2 | yes | — |
| 166 | #6386 | C23 | 1 | 2 | yes | — |
| 167 | C2×C7⋊C16 | C23 | 1 | 2 | yes | — |
| 168 | Dic56 | C23 | 1 | 4 | yes | — |
| 169 | #6374 | C23 | 1 | 4 | yes | — |
| 170 | #6374 | C23 | 1 | 4 | yes | — |
| 171 | D112 | C23 | 1 | 4 | yes | — |
| 172 | #6372 | C23 | 1 | 8 | yes | — |
| 173 | D7×C16 | C23 | 1 | 8 | yes | — |
| 174 | #3584 | — | 7 | 1 | no | — |
| 175 | C2×#578 | — | 7 | 1 | no | — |
| 176 | #3417 | — | 7 | 4 | no | — |
| 177 | #3417 | — | 7 | 4 | no | — |
| 178 | #3416 | — | 7 | 4 | no | — |
| 179 | #3416 | — | 7 | 4 | no | — |
| 180 | #3414 | — | 7 | 4 | no | — |
| 181 | #3414 | — | 7 | 1 | no | — |
| 182 | #3414 | — | 7 | 1 | no | — |
| 183 | C2×#510 | — | 7 | 4 | no | — |
| 184 | C2×#510 | — | 7 | 1 | no | — |
| 185 | C2×#510 | D7 | 1 | 1 | yes | characteristic, complemented |
| 186 | #3407 | — | 7 | 1 | no | — |
| 187 | C7×#41 | — | 2 | 2 | no | — |
| 188 | C7×#41 | — | 2 | 2 | no | — |
| 189 | C7×#41 | — | 4 | 1 | no | — |
| 190 | C7×#41 | — | 4 | 1 | no | — |
| 191 | C2×C7×Q8 | — | 2 | 2 | no | — |
| 192 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 193 | C2×C7×Q8 | — | 2 | 2 | no | — |
| 194 | C2×C7×Q8 | — | 2 | 2 | no | — |
| 195 | C2×C7×Q8 | — | 4 | 1 | no | — |
| 196 | C2×C7×Q8 | — | 4 | 1 | no | — |
| 197 | C2×C7×Q8 | — | 4 | 1 | no | — |
| 198 | C2×C7×D4 | — | 2 | 1 | no | — |
| 199 | C2×C7×D4 | — | 4 | 1 | no | — |
| 200 | C22×C4×C7 | — | 4 | 1 | no | — |
| 201 | C22×C4×C7 | — | 4 | 1 | no | — |
| 202 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 203 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 204 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 205 | C2×C22⋊D7 | — | 4 | 4 | no | — |
| 206 | C2×C22⋊D7 | D8 | 1 | 2 | yes | — |
| 207 | #1161 | — | 2 | 4 | no | — |
| 208 | #1161 | — | 2 | 8 | no | — |
| 209 | #1161 | — | 4 | 4 | no | — |
| 210 | #1161 | — | 4 | 4 | no | — |
| 211 | #1161 | — | 4 | 2 | no | — |
| 212 | #1161 | — | 4 | 4 | no | — |
| 213 | Q8×D7 | — | 2 | 4 | no | — |
| 214 | Q8×D7 | — | 2 | 8 | no | — |
| 215 | Q8×D7 | — | 4 | 4 | no | — |
| 216 | Q8×D7 | — | 4 | 4 | no | — |
| 217 | Q8×D7 | — | 4 | 4 | no | — |
| 218 | Q8×D7 | — | 4 | 2 | no | — |
| 219 | #1159 | — | 2 | 4 | no | — |
| 220 | #1159 | — | 4 | 4 | no | — |
| 221 | #1159 | — | 4 | 4 | no | — |
| 222 | #1159 | — | 4 | 2 | no | — |
| 223 | D4×D7 | — | 2 | 4 | no | — |
| 224 | D4×D7 | — | 4 | 4 | no | — |
| 225 | D4×D7 | — | 4 | 4 | no | — |
| 226 | D4×D7 | — | 4 | 2 | no | — |
| 227 | #1157 | — | 2 | 2 | no | — |
| 228 | #1157 | — | 2 | 2 | no | — |
| 229 | #1157 | — | 2 | 2 | no | — |
| 230 | #1157 | — | 2 | 2 | no | — |
| 231 | #1157 | — | 4 | 1 | no | — |
| 232 | #1157 | — | 4 | 1 | no | — |
| 233 | #1157 | — | 4 | 1 | no | — |
| 234 | #1157 | — | 4 | 1 | no | — |
| 235 | #1157 | — | 4 | 4 | no | — |
| 236 | #1157 | — | 4 | 8 | no | — |
| 237 | #1157 | — | 4 | 8 | no | — |
| 238 | #1157 | — | 4 | 2 | no | — |
| 239 | #1157 | — | 4 | 4 | no | — |
| 240 | #1157 | — | 4 | 2 | no | — |
| 241 | #1157 | D8 | 1 | 2 | yes | — |
| 242 | #1157 | D8 | 1 | 2 | yes | — |
| 243 | #1157 | C2×D4 | 1 | 2 | yes | — |
| 244 | #1157 | C2×D4 | 1 | 2 | yes | — |
| 245 | C2×D28 | — | 2 | 1 | no | — |
| 246 | C2×D28 | — | 2 | 1 | no | — |
| 247 | C2×D28 | — | 4 | 2 | no | — |
| 248 | C2×D28 | — | 4 | 2 | no | — |
| 249 | C2×D28 | D8 | 1 | 1 | yes | characteristic |
| 250 | C2×C4×D7 | — | 4 | 2 | no | — |
| 251 | C2×C4×D7 | — | 4 | 1 | no | — |
| 252 | C2×C4×D7 | — | 4 | 1 | no | — |
| 253 | C2×C4×D7 | — | 4 | 2 | no | — |
| 254 | C2×C4×D7 | — | 4 | 4 | no | — |
| 255 | C2×C4×D7 | C2×D4 | 1 | 2 | yes | — |
| 256 | C2×Dic14 | — | 2 | 1 | no | — |
| 257 | C2×Dic14 | — | 2 | 1 | no | — |
| 258 | C2×Dic14 | — | 4 | 2 | no | — |
| 259 | C2×Dic14 | — | 4 | 2 | no | — |
| 260 | C2×Dic14 | D8 | 1 | 1 | yes | characteristic |
| 261 | C7×Q16 | — | 2 | 2 | no | — |
| 262 | C7×Q16 | — | 2 | 2 | no | — |
| 263 | C7×Q16 | — | 2 | 2 | no | — |
| 264 | C7×Q16 | — | 2 | 1 | no | — |
| 265 | C7×Q16 | C24 | 1 | 4 | yes | — |
| 266 | C7×Q16 | C24 | 1 | 2 | yes | — |
| 267 | C7×SD16 | — | 2 | 2 | no | — |
| 268 | C7×SD16 | — | 2 | 2 | no | — |
| 269 | C7×D8 | — | 2 | 1 | no | — |
| 270 | C7×D8 | C24 | 1 | 2 | yes | — |
| 271 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 272 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 273 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 274 | C2×C7×C8 | C24 | 1 | 1 | yes | characteristic |
| 275 | C2×C7×C8 | C24 | 1 | 1 | yes | characteristic |
| 276 | C2×C7×C8 | C24 | 1 | 1 | yes | characteristic |
| 277 | #1144 | — | 2 | 4 | no | — |
| 278 | #1144 | — | 2 | 8 | no | — |
| 279 | #1143 | — | 2 | 4 | no | — |
| 280 | #1143 | — | 2 | 8 | no | — |
| 281 | #1142 | — | 2 | 4 | no | — |
| 282 | #1141 | — | 2 | 4 | no | — |
| 283 | #1136 | C2×D4 | 1 | 2 | yes | — |
| 284 | #1136 | C2×D4 | 1 | 2 | yes | — |
| 285 | C2×C7⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 286 | Dic28 | — | 2 | 1 | no | — |
| 287 | Dic28 | — | 2 | 1 | no | — |
| 288 | Dic28 | C24 | 1 | 2 | yes | — |
| 289 | Dic28 | C24 | 1 | 2 | yes | — |
| 290 | D56 | — | 2 | 1 | no | — |
| 291 | D56 | — | 2 | 1 | no | — |
| 292 | D56 | C24 | 1 | 2 | yes | — |
| 293 | D56 | C24 | 1 | 2 | yes | — |
| 294 | #1132 | — | 2 | 2 | no | — |
| 295 | #1132 | — | 2 | 2 | no | — |
| 296 | #1132 | — | 2 | 2 | no | — |
| 297 | #1132 | — | 2 | 2 | no | — |
| 298 | #1131 | C2×D4 | 1 | 4 | yes | — |
| 299 | #1131 | C2×D4 | 1 | 4 | yes | — |
| 300 | C8×D7 | C2×D4 | 1 | 4 | yes | — |
| 301 | C8×D7 | C24 | 1 | 4 | yes | — |
| 302 | C7×C16 | C24 | 1 | 4 | yes | — |
| 303 | C7⋊C16 | C24 | 1 | 4 | yes | — |
| 304 | #585 | — | 14 | 1 | no | — |
| 305 | C2×2−1+4 | — | 14 | 1 | no | — |
| 306 | #578 | — | 7 | 2 | no | — |
| 307 | #578 | — | 7 | 2 | no | — |
| 308 | #578 | — | 7 | 4 | no | — |
| 309 | #578 | — | 7 | 4 | no | — |
| 310 | #578 | — | 14 | 2 | no | — |
| 311 | #578 | — | 14 | 2 | no | — |
| 312 | #577 | — | 14 | 2 | no | — |
| 313 | #577 | — | 14 | 2 | no | — |
| 314 | #576 | — | 7 | 2 | no | — |
| 315 | #576 | — | 7 | 2 | no | — |
| 316 | #575 | — | 14 | 2 | no | — |
| 317 | #575 | — | 14 | 1 | no | — |
| 318 | C2×#137 | — | 14 | 2 | no | — |
| 319 | C2×#137 | — | 14 | 1 | no | — |
| 320 | C2×#135 | — | 7 | 4 | no | — |
| 321 | C2×#135 | — | 7 | 2 | no | — |
| 322 | C2×#135 | — | 7 | 1 | no | — |
| 323 | C2×#135 | — | 7 | 1 | no | — |
| 324 | C2×#135 | C2×D7 | 1 | 1 | yes | characteristic |
| 325 | C22×Q16 | — | 7 | 2 | no | — |
| 326 | C22×Q16 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 327 | C2×#131 | — | 7 | 1 | no | — |
| 328 | #510 | — | 7 | 2 | no | — |
| 329 | #510 | — | 7 | 4 | no | — |
| 330 | #510 | — | 7 | 4 | no | — |
| 331 | #510 | — | 7 | 2 | no | — |
| 332 | #510 | — | 7 | 8 | no | — |
| 333 | #510 | — | 7 | 8 | no | — |
| 334 | #510 | — | 7 | 8 | no | — |
| 335 | #510 | — | 7 | 2 | no | — |
| 336 | #510 | — | 7 | 2 | no | — |
| 337 | #510 | C2×D7 | 1 | 4 | yes | complemented |
| 338 | #510 | C2×D7 | 1 | 4 | yes | complemented |
| 339 | #509 | — | 7 | 2 | no | — |
| 340 | #509 | — | 7 | 2 | no | — |
| 341 | #509 | — | 7 | 8 | no | — |
| 342 | #509 | — | 7 | 2 | no | — |
| 343 | #509 | — | 7 | 2 | no | — |
| 344 | #508 | — | 7 | 4 | no | — |
| 345 | #508 | — | 7 | 8 | no | — |
| 346 | #508 | — | 7 | 8 | no | — |
| 347 | #508 | — | 7 | 4 | no | — |
| 348 | C2×Q32 | — | 7 | 2 | no | — |
| 349 | C2×Q32 | — | 7 | 8 | no | — |
| 350 | C2×Q32 | C2×D7 | 1 | 2 | yes | complemented |
| 351 | C2×SD32 | — | 7 | 2 | no | — |
| 352 | C2×SD32 | — | 7 | 8 | no | — |
| 353 | C2×SD32 | C2×D7 | 1 | 2 | yes | complemented |
| 354 | #504 | — | 7 | 4 | no | — |
| 355 | #504 | — | 7 | 4 | no | — |
| 356 | C2×M32 | — | 7 | 1 | no | — |
| 357 | C2×M32 | — | 7 | 4 | no | — |
| 358 | C2×M32 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 359 | C23×C7 | — | 4 | 1 | no | — |
| 360 | C23×C7 | C2×D8 | 1 | 1 | yes | characteristic |
| 361 | C22×D7 | — | 4 | 1 | no | — |
| 362 | C22×D7 | — | 4 | 1 | no | — |
| 363 | C22×D7 | — | 4 | 4 | no | — |
| 364 | C22×D7 | C2×D8 | 1 | 2 | yes | — |
| 365 | C7×Q8 | — | 2 | 2 | no | — |
| 366 | C7×Q8 | — | 2 | 4 | no | — |
| 367 | C7×Q8 | — | 4 | 2 | no | — |
| 368 | C7×Q8 | — | 4 | 2 | no | — |
| 369 | C7×Q8 | — | 4 | 2 | no | — |
| 370 | C7×Q8 | — | 4 | 1 | no | — |
| 371 | C7×D4 | — | 2 | 2 | no | — |
| 372 | C7×D4 | — | 4 | 2 | no | — |
| 373 | C7×D4 | — | 4 | 2 | no | — |
| 374 | C7×D4 | — | 4 | 1 | no | — |
| 375 | C2×C4×C7 | — | 4 | 2 | no | — |
| 376 | C2×C4×C7 | — | 4 | 1 | no | — |
| 377 | C2×C4×C7 | — | 4 | 2 | no | — |
| 378 | C2×C4×C7 | — | 4 | 2 | no | — |
| 379 | C2×C4×C7 | — | 4 | 2 | no | — |
| 380 | C2×C4×C7 | — | 4 | 2 | no | — |
| 381 | C2×C4×C7 | C2×D8 | 1 | 1 | yes | characteristic |
| 382 | C2×C4×C7 | C2×D8 | 1 | 1 | yes | characteristic |
| 383 | C2×C4×C7 | C2×D8 | 1 | 1 | yes | characteristic |
| 384 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 385 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 386 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 387 | C22⋊D7 | — | 4 | 2 | no | — |
| 388 | C22⋊D7 | — | 4 | 2 | no | — |
| 389 | C22⋊D7 | — | 4 | 2 | no | — |
| 390 | C22⋊D7 | — | 4 | 2 | no | — |
| 391 | C22⋊D7 | — | 4 | 4 | no | — |
| 392 | C22⋊D7 | — | 4 | 4 | no | — |
| 393 | C22⋊D7 | C2×D8 | 1 | 4 | yes | — |
| 394 | C22⋊D7 | C2×D8 | 1 | 4 | yes | — |
| 395 | C2×Dic7 | — | 4 | 1 | no | — |
| 396 | C2×Dic7 | — | 4 | 1 | no | — |
| 397 | C2×Dic7 | — | 4 | 4 | no | — |
| 398 | C2×Dic7 | C2×D8 | 1 | 2 | yes | — |
| 399 | D28 | — | 2 | 2 | no | — |
| 400 | D28 | — | 2 | 2 | no | — |
| 401 | D28 | — | 4 | 4 | no | — |
| 402 | D28 | — | 4 | 8 | no | — |
| 403 | D28 | — | 4 | 1 | no | — |
| 404 | D28 | — | 4 | 1 | no | — |
| 405 | D28 | C2×D8 | 1 | 2 | yes | — |
| 406 | D28 | C2×D8 | 1 | 2 | yes | — |
| 407 | C4×D7 | — | 4 | 4 | no | — |
| 408 | C4×D7 | — | 4 | 8 | no | — |
| 409 | C4×D7 | — | 4 | 2 | no | — |
| 410 | C4×D7 | — | 4 | 2 | no | — |
| 411 | C4×D7 | — | 4 | 2 | no | — |
| 412 | C4×D7 | — | 4 | 2 | no | — |
| 413 | C4×D7 | — | 4 | 4 | no | — |
| 414 | C4×D7 | — | 4 | 8 | no | — |
| 415 | C4×D7 | C2×D8 | 1 | 4 | yes | — |
| 416 | C4×D7 | C22×D4 | 1 | 4 | yes | — |
| 417 | Dic14 | — | 2 | 2 | no | — |
| 418 | Dic14 | — | 2 | 2 | no | — |
| 419 | Dic14 | — | 4 | 1 | no | — |
| 420 | Dic14 | — | 4 | 1 | no | — |
| 421 | Dic14 | — | 4 | 4 | no | — |
| 422 | Dic14 | — | 4 | 8 | no | — |
| 423 | Dic14 | C2×D8 | 1 | 2 | yes | — |
| 424 | Dic14 | C2×D8 | 1 | 2 | yes | — |
| 425 | C7×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 426 | C7×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 427 | C7×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 428 | C7×C8 | C25 | 1 | 1 | yes | characteristic |
| 429 | C7⋊C8 | C22×D4 | 1 | 4 | yes | — |
| 430 | 2−1+4 | — | 14 | 2 | no | — |
| 431 | 2−1+4 | — | 14 | 4 | no | — |
| 432 | 2−1+4 | — | 14 | 4 | no | — |
| 433 | 2−1+4 | — | 14 | 2 | no | — |
| 434 | 2−1+4 | — | 28 | 2 | no | — |
| 435 | 2−1+4 | — | 28 | 2 | no | — |
| 436 | 2−1+4 | — | 28 | 1 | no | — |
| 437 | H(5,𝔽2) | — | 14 | 2 | no | — |
| 438 | H(5,𝔽2) | — | 14 | 2 | no | — |
| 439 | H(5,𝔽2) | — | 28 | 2 | no | — |
| 440 | H(5,𝔽2) | — | 28 | 1 | no | — |
| 441 | C2×#41 | — | 2 | 1 | no | — |
| 442 | C2×#41 | — | 7 | 1 | no | — |
| 443 | C2×#41 | — | 14 | 2 | no | — |
| 444 | C2×#41 | — | 14 | 4 | no | — |
| 445 | C2×#41 | — | 14 | 1 | no | — |
| 446 | C2×#41 | — | 14 | 1 | no | — |
| 447 | C2×#41 | — | 28 | 2 | no | — |
| 448 | C2×#41 | — | 28 | 2 | no | — |
| 449 | C2×#41 | — | 28 | 1 | no | — |
| 450 | C2×#41 | — | 28 | 2 | no | — |
| 451 | C22×Q8 | — | 2 | 1 | no | — |
| 452 | C22×Q8 | — | 14 | 2 | no | — |
| 453 | C22×Q8 | — | 28 | 1 | no | — |
| 454 | #137 | — | 14 | 4 | no | — |
| 455 | #137 | — | 14 | 8 | no | — |
| 456 | #137 | — | 14 | 8 | no | — |
| 457 | #137 | — | 14 | 4 | no | — |
| 458 | #137 | — | 14 | 4 | no | — |
| 459 | #137 | — | 14 | 4 | no | — |
| 460 | #137 | — | 14 | 2 | no | — |
| 461 | #137 | — | 14 | 2 | no | — |
| 462 | AGL(1,ℤ/8) | — | 14 | 4 | no | — |
| 463 | AGL(1,ℤ/8) | — | 14 | 4 | no | — |
| 464 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 465 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 466 | #135 | — | 2 | 1 | no | — |
| 467 | #135 | — | 2 | 1 | no | — |
| 468 | #135 | — | 7 | 4 | no | — |
| 469 | #135 | — | 7 | 8 | no | — |
| 470 | #135 | — | 7 | 4 | no | — |
| 471 | #135 | — | 7 | 2 | no | — |
| 472 | #135 | — | 7 | 2 | no | — |
| 473 | #135 | — | 7 | 2 | no | — |
| 474 | #135 | — | 7 | 2 | no | — |
| 475 | #135 | — | 14 | 4 | no | — |
| 476 | #135 | — | 14 | 4 | no | — |
| 477 | #135 | — | 14 | 4 | no | — |
| 478 | #135 | — | 14 | 1 | no | — |
| 479 | #135 | — | 14 | 1 | no | — |
| 480 | #135 | — | 14 | 1 | no | — |
| 481 | #135 | — | 14 | 1 | no | — |
| 482 | #135 | C22×D7 | 1 | 2 | yes | — |
| 483 | #135 | C22×D7 | 1 | 2 | yes | — |
| 484 | C2×Q16 | — | 2 | 1 | no | — |
| 485 | C2×Q16 | — | 2 | 1 | no | — |
| 486 | C2×Q16 | — | 2 | 1 | no | — |
| 487 | C2×Q16 | — | 7 | 8 | no | — |
| 488 | C2×Q16 | — | 7 | 4 | no | — |
| 489 | C2×Q16 | — | 7 | 1 | no | — |
| 490 | C2×Q16 | — | 7 | 1 | no | — |
| 491 | C2×Q16 | — | 14 | 4 | no | — |
| 492 | C2×Q16 | — | 14 | 2 | no | — |
| 493 | C2×Q16 | C22×D7 | 1 | 2 | yes | — |
| 494 | C2×Q16 | C22×D7 | 1 | 2 | yes | — |
| 495 | C2×Q16 | C22×D7 | 1 | 2 | yes | — |
| 496 | C2×Q16 | C22×D7 | 1 | 1 | yes | characteristic |
| 497 | C2×SD16 | — | 2 | 1 | no | — |
| 498 | C2×SD16 | — | 14 | 4 | no | — |
| 499 | C2×SD16 | — | 14 | 2 | no | — |
| 500 | C2×SD16 | — | 14 | 1 | no | — |
| 501 | C2×SD16 | — | 14 | 1 | no | — |
| 502 | C2×D8 | — | 7 | 4 | no | — |
| 503 | C2×D8 | — | 7 | 1 | no | — |
| 504 | C2×D8 | — | 7 | 1 | no | — |
| 505 | C2×D8 | C22×D7 | 1 | 1 | yes | characteristic |
| 506 | #131 | — | 7 | 2 | no | — |
| 507 | #131 | — | 7 | 2 | no | — |
| 508 | #131 | — | 7 | 2 | no | — |
| 509 | #131 | — | 7 | 2 | no | — |
| 510 | C2×M16 | — | 7 | 1 | no | — |
| 511 | C2×M16 | — | 7 | 2 | no | — |
| 512 | C22×C8 | — | 7 | 2 | no | — |
| 513 | C22×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 514 | Q32 | — | 7 | 4 | no | — |
| 515 | Q32 | — | 7 | 8 | no | — |
| 516 | Q32 | — | 7 | 4 | no | — |
| 517 | Q32 | C22×D7 | 1 | 8 | yes | — |
| 518 | SD32 | — | 7 | 8 | no | — |
| 519 | SD32 | — | 7 | 4 | no | — |
| 520 | SD32 | — | 7 | 4 | no | — |
| 521 | SD32 | — | 7 | 4 | no | — |
| 522 | SD32 | — | 7 | 4 | no | — |
| 523 | SD32 | C22×D7 | 1 | 8 | yes | — |
| 524 | D16 | — | 7 | 4 | no | — |
| 525 | D16 | — | 7 | 4 | no | — |
| 526 | M32 | — | 7 | 2 | no | — |
| 527 | M32 | — | 7 | 2 | no | — |
| 528 | M32 | — | 7 | 8 | no | — |
| 529 | M32 | C22×D7 | 1 | 2 | yes | — |
| 530 | M32 | C22×D7 | 1 | 2 | yes | — |
| 531 | C2×C16 | — | 7 | 2 | no | — |
| 532 | C2×C16 | — | 7 | 8 | no | — |
| 533 | C2×C16 | C22×D7 | 1 | 2 | yes | — |
| 534 | C22×C7 | — | 4 | 1 | no | — |
| 535 | C22×C7 | — | 4 | 2 | no | — |
| 536 | C22×C7 | — | 16 | 1 | no | — |
| 537 | C22×C7 | C22×D8 | 1 | 1 | yes | characteristic |
| 538 | C22×C7 | C22×D8 | 1 | 1 | yes | characteristic |
| 539 | C22×C7 | C22×D8 | 1 | 1 | yes | characteristic |
| 540 | C2×D7 | — | 4 | 2 | no | — |
| 541 | C2×D7 | — | 4 | 2 | no | — |
| 542 | C2×D7 | — | 4 | 2 | no | — |
| 543 | C2×D7 | — | 8 | 2 | no | — |
| 544 | C2×D7 | — | 16 | 4 | no | — |
| 545 | C2×D7 | — | 16 | 1 | no | — |
| 546 | C2×D7 | C22×D8 | 1 | 4 | yes | — |
| 547 | C4×C7 | — | 4 | 2 | no | — |
| 548 | C4×C7 | — | 4 | 4 | no | — |
| 549 | C4×C7 | C22×D8 | 1 | 1 | yes | characteristic |
| 550 | C4×C7 | C22×D8 | 1 | 1 | yes | characteristic |
| 551 | C4×C7 | C22×D8 | 1 | 1 | yes | characteristic |
| 552 | C4×C7 | C23×D4 | 1 | 1 | yes | characteristic |
| 553 | Dic7 | — | 4 | 2 | no | — |
| 554 | Dic7 | — | 4 | 2 | no | — |
| 555 | Dic7 | C22×D8 | 1 | 4 | yes | — |
| 556 | #41 | — | 2 | 2 | no | — |
| 557 | #41 | — | 2 | 2 | no | — |
| 558 | #41 | — | 4 | 1 | no | — |
| 559 | #41 | — | 4 | 1 | no | — |
| 560 | #41 | — | 7 | 2 | no | — |
| 561 | #41 | — | 7 | 2 | no | — |
| 562 | #41 | — | 7 | 2 | no | — |
| 563 | #41 | — | 7 | 2 | no | — |
| 564 | #41 | — | 14 | 4 | no | — |
| 565 | #41 | — | 14 | 4 | no | — |
| 566 | #41 | — | 14 | 8 | no | — |
| 567 | #41 | — | 14 | 2 | no | — |
| 568 | #41 | — | 14 | 2 | no | — |
| 569 | #41 | — | 14 | 2 | no | — |
| 570 | #41 | — | 14 | 2 | no | — |
| 571 | #41 | — | 28 | 4 | no | — |
| 572 | #41 | — | 28 | 4 | no | — |
| 573 | #41 | — | 28 | 2 | no | — |
| 574 | #41 | — | 28 | 8 | no | — |
| 575 | #41 | — | 28 | 8 | no | — |
| 576 | #41 | — | 28 | 2 | no | — |
| 577 | #41 | — | 28 | 4 | no | — |
| 578 | #41 | — | 28 | 4 | no | — |
| 579 | #41 | — | 28 | 4 | no | — |
| 580 | #41 | — | 28 | 2 | no | — |
| 581 | #41 | — | 28 | 2 | no | — |
| 582 | #41 | — | 28 | 4 | no | — |
| 583 | #41 | — | 28 | 4 | no | — |
| 584 | #41 | — | 28 | 1 | no | — |
| 585 | #41 | — | 28 | 1 | no | — |
| 586 | #41 | — | 28 | 1 | no | — |
| 587 | #41 | — | 28 | 1 | no | — |
| 588 | C2×Q8 | — | 2 | 1 | no | — |
| 589 | C2×Q8 | — | 2 | 2 | no | — |
| 590 | C2×Q8 | — | 2 | 2 | no | — |
| 591 | C2×Q8 | — | 2 | 2 | no | — |
| 592 | C2×Q8 | — | 4 | 1 | no | — |
| 593 | C2×Q8 | — | 4 | 1 | no | — |
| 594 | C2×Q8 | — | 4 | 1 | no | — |
| 595 | C2×Q8 | — | 7 | 1 | no | — |
| 596 | C2×Q8 | — | 14 | 4 | no | — |
| 597 | C2×Q8 | — | 14 | 8 | no | — |
| 598 | C2×Q8 | — | 14 | 1 | no | — |
| 599 | C2×Q8 | — | 14 | 1 | no | — |
| 600 | C2×Q8 | — | 28 | 2 | no | — |
| 601 | C2×Q8 | — | 28 | 2 | no | — |
| 602 | C2×Q8 | — | 28 | 4 | no | — |
| 603 | C2×Q8 | — | 28 | 4 | no | — |
| 604 | C2×Q8 | — | 28 | 4 | no | — |
| 605 | C2×Q8 | — | 28 | 2 | no | — |
| 606 | C2×D4 | — | 2 | 1 | no | — |
| 607 | C2×D4 | — | 4 | 1 | no | — |
| 608 | C2×D4 | — | 7 | 2 | no | — |
| 609 | C2×D4 | — | 7 | 1 | no | — |
| 610 | C2×D4 | — | 14 | 4 | no | — |
| 611 | C2×D4 | — | 14 | 1 | no | — |
| 612 | C2×D4 | — | 14 | 1 | no | — |
| 613 | C2×D4 | — | 28 | 2 | no | — |
| 614 | C2×D4 | — | 28 | 2 | no | — |
| 615 | C2×D4 | — | 28 | 4 | no | — |
| 616 | C2×D4 | — | 28 | 2 | no | — |
| 617 | C2×D4 | — | 28 | 4 | no | — |
| 618 | C2×D4 | — | 28 | 4 | no | — |
| 619 | C2×D4 | — | 28 | 1 | no | — |
| 620 | C2×D4 | — | 28 | 1 | no | — |
| 621 | C22×C4 | — | 4 | 1 | no | — |
| 622 | C22×C4 | — | 4 | 1 | no | — |
| 623 | C22×C4 | — | 7 | 2 | no | — |
| 624 | C22×C4 | — | 28 | 2 | no | — |
| 625 | C22×C4 | — | 28 | 4 | no | — |
| 626 | C22×C4 | — | 28 | 2 | no | — |
| 627 | C22×C4 | — | 28 | 1 | no | — |
| 628 | C22×C4 | — | 28 | 1 | no | — |
| 629 | C22×C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 630 | Q16 | — | 2 | 2 | no | — |
| 631 | Q16 | — | 2 | 2 | no | — |
| 632 | Q16 | — | 2 | 2 | no | — |
| 633 | Q16 | — | 2 | 1 | no | — |
| 634 | Q16 | — | 7 | 2 | no | — |
| 635 | Q16 | — | 7 | 2 | no | — |
| 636 | Q16 | — | 14 | 8 | no | — |
| 637 | Q16 | — | 14 | 4 | no | — |
| 638 | Q16 | — | 14 | 1 | no | — |
| 639 | Q16 | — | 14 | 1 | no | — |
| 640 | Q16 | C23×D7 | 1 | 4 | yes | — |
| 641 | Q16 | C23×D7 | 1 | 2 | yes | — |
| 642 | SD16 | — | 2 | 2 | no | — |
| 643 | SD16 | — | 2 | 2 | no | — |
| 644 | SD16 | — | 14 | 4 | no | — |
| 645 | SD16 | — | 14 | 4 | no | — |
| 646 | SD16 | — | 14 | 8 | no | — |
| 647 | SD16 | — | 14 | 2 | no | — |
| 648 | SD16 | — | 14 | 2 | no | — |
| 649 | SD16 | — | 14 | 2 | no | — |
| 650 | SD16 | — | 14 | 2 | no | — |
| 651 | D8 | — | 2 | 1 | no | — |
| 652 | D8 | — | 7 | 2 | no | — |
| 653 | D8 | — | 7 | 2 | no | — |
| 654 | D8 | — | 14 | 4 | no | — |
| 655 | D8 | — | 14 | 1 | no | — |
| 656 | D8 | — | 14 | 1 | no | — |
| 657 | D8 | C23×D7 | 1 | 2 | yes | — |
| 658 | M16 | — | 7 | 2 | no | — |
| 659 | M16 | — | 7 | 2 | no | — |
| 660 | M16 | — | 7 | 4 | no | — |
| 661 | M16 | — | 7 | 4 | no | — |
| 662 | C2×C8 | — | 7 | 2 | no | — |
| 663 | C2×C8 | — | 7 | 4 | no | — |
| 664 | C2×C8 | — | 7 | 4 | no | — |
| 665 | C2×C8 | D4×D7 | 1 | 1 | yes | characteristic |
| 666 | C2×C8 | D4×D7 | 1 | 1 | yes | characteristic |
| 667 | C2×C8 | D4×D7 | 1 | 1 | yes | characteristic |
| 668 | C2×C8 | C23×D7 | 1 | 1 | yes | characteristic |
| 669 | C2×C8 | C23×D7 | 1 | 1 | yes | characteristic |
| 670 | C2×C8 | C23×D7 | 1 | 1 | yes | characteristic |
| 671 | C16 | — | 7 | 4 | no | — |
| 672 | C16 | C23×D7 | 1 | 4 | yes | — |
| 673 | C2×C7 | — | 2 | 1 | no | — |
| 674 | C2×C7 | — | 2 | 1 | no | — |
| 675 | C2×C7 | — | 2 | 1 | no | — |
| 676 | C2×C7 | — | 8 | 2 | no | — |
| 677 | C2×C7 | C23×D8 | 1 | 1 | yes | characteristic |
| 678 | D7 | — | 2 | 4 | no | — |
| 679 | D7 | — | 8 | 2 | no | — |
| 680 | D7 | — | 8 | 2 | no | — |
| 681 | C23 | — | 4 | 1 | no | — |
| 682 | C23 | — | 7 | 2 | no | — |
| 683 | C23 | — | 28 | 4 | no | — |
| 684 | C23 | — | 28 | 1 | no | — |
| 685 | C23 | — | 28 | 1 | no | — |
| 686 | C23 | D7×D8 | 1 | 1 | yes | characteristic |
| 687 | Q8 | — | 2 | 2 | no | — |
| 688 | Q8 | — | 2 | 4 | no | — |
| 689 | Q8 | — | 4 | 2 | no | — |
| 690 | Q8 | — | 4 | 2 | no | — |
| 691 | Q8 | — | 4 | 2 | no | — |
| 692 | Q8 | — | 4 | 1 | no | — |
| 693 | Q8 | — | 7 | 2 | no | — |
| 694 | Q8 | — | 7 | 2 | no | — |
| 695 | Q8 | — | 14 | 2 | no | — |
| 696 | Q8 | — | 14 | 2 | no | — |
| 697 | Q8 | — | 28 | 8 | no | — |
| 698 | Q8 | — | 28 | 4 | no | — |
| 699 | Q8 | — | 28 | 1 | no | — |
| 700 | Q8 | — | 28 | 1 | no | — |
| 701 | D4 | — | 2 | 2 | no | — |
| 702 | D4 | — | 4 | 2 | no | — |
| 703 | D4 | — | 4 | 2 | no | — |
| 704 | D4 | — | 4 | 1 | no | — |
| 705 | D4 | — | 7 | 4 | no | — |
| 706 | D4 | — | 7 | 4 | no | — |
| 707 | D4 | — | 7 | 2 | no | — |
| 708 | D4 | — | 7 | 2 | no | — |
| 709 | D4 | — | 14 | 2 | no | — |
| 710 | D4 | — | 14 | 2 | no | — |
| 711 | D4 | — | 28 | 4 | no | — |
| 712 | D4 | — | 28 | 8 | no | — |
| 713 | D4 | — | 28 | 4 | no | — |
| 714 | D4 | — | 28 | 4 | no | — |
| 715 | D4 | — | 28 | 2 | no | — |
| 716 | D4 | — | 28 | 2 | no | — |
| 717 | D4 | — | 28 | 2 | no | — |
| 718 | D4 | — | 28 | 2 | no | — |
| 719 | D4 | — | 28 | 1 | no | — |
| 720 | D4 | — | 28 | 1 | no | — |
| 721 | C2×C4 | — | 4 | 2 | no | — |
| 722 | C2×C4 | — | 4 | 1 | no | — |
| 723 | C2×C4 | — | 4 | 2 | no | — |
| 724 | C2×C4 | — | 4 | 2 | no | — |
| 725 | C2×C4 | — | 4 | 2 | no | — |
| 726 | C2×C4 | — | 4 | 2 | no | — |
| 727 | C2×C4 | — | 7 | 2 | no | — |
| 728 | C2×C4 | — | 7 | 4 | no | — |
| 729 | C2×C4 | — | 7 | 4 | no | — |
| 730 | C2×C4 | — | 28 | 4 | no | — |
| 731 | C2×C4 | — | 28 | 8 | no | — |
| 732 | C2×C4 | — | 28 | 4 | no | — |
| 733 | C2×C4 | — | 28 | 8 | no | — |
| 734 | C2×C4 | — | 28 | 4 | no | — |
| 735 | C2×C4 | — | 28 | 1 | no | — |
| 736 | C2×C4 | — | 28 | 1 | no | — |
| 737 | C2×C4 | — | 28 | 2 | no | — |
| 738 | C2×C4 | — | 28 | 2 | no | — |
| 739 | C2×C4 | — | 28 | 2 | no | — |
| 740 | C2×C4 | — | 28 | 2 | no | — |
| 741 | C2×C4 | D7×D8 | 1 | 1 | yes | characteristic |
| 742 | C2×C4 | D7×D8 | 1 | 1 | yes | characteristic |
| 743 | C2×C4 | D7×D8 | 1 | 1 | yes | characteristic |
| 744 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 745 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 746 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 747 | C8 | — | 7 | 4 | no | — |
| 748 | C8 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 749 | C8 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 750 | C8 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 751 | C8 | C24×D7 | 1 | 1 | yes | characteristic |
| 752 | C7 | #62637 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 753 | C22 | — | 4 | 1 | no | — |
| 754 | C22 | — | 4 | 2 | no | — |
| 755 | C22 | — | 7 | 4 | no | — |
| 756 | C22 | — | 16 | 1 | no | — |
| 757 | C22 | — | 28 | 2 | no | — |
| 758 | C22 | — | 28 | 2 | no | — |
| 759 | C22 | — | 28 | 2 | no | — |
| 760 | C22 | — | 56 | 2 | no | — |
| 761 | C22 | — | 112 | 1 | no | — |
| 762 | C22 | — | 112 | 4 | no | — |
| 763 | C22 | C2×D7×D8 | 1 | 1 | yes | characteristic |
| 764 | C22 | C2×D7×D8 | 1 | 1 | yes | characteristic |
| 765 | C22 | C2×D7×D8 | 1 | 1 | yes | characteristic |
| 766 | C4 | — | 4 | 2 | no | — |
| 767 | C4 | — | 4 | 4 | no | — |
| 768 | C4 | — | 7 | 4 | no | — |
| 769 | C4 | — | 28 | 2 | no | — |
| 770 | C4 | — | 28 | 2 | no | — |
| 771 | C4 | C2×D7×D8 | 1 | 1 | yes | characteristic |
| 772 | C4 | C2×D7×D8 | 1 | 1 | yes | characteristic |
| 773 | C4 | C2×D7×D8 | 1 | 1 | yes | characteristic |
| 774 | C4 | C22×D4×D7 | 1 | 1 | yes | characteristic |
| 775 | C2 | — | 2 | 1 | no | — |
| 776 | C2 | — | 2 | 1 | no | — |
| 777 | C2 | — | 2 | 1 | no | — |
| 778 | C2 | — | 8 | 2 | no | — |
| 779 | C2 | — | 14 | 4 | no | — |
| 780 | C2 | — | 56 | 2 | no | — |
| 781 | C2 | — | 56 | 2 | no | — |
| 782 | C2 | C22×D7×D8 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11744255 | C2 | semidirect |
| 2. C2×#90457 | C2 | semidirect |
| 3. C2×C7×#510 | C2 | semidirect |
| 4. #11741339 | C2 | semidirect |
| 5. C2×#89951 | C2 | semidirect |
| 6. #11739486 | C2 | semidirect |
| 7. #11739485 | C2 | semidirect |
| 8. #11739484 | C2 | semidirect |
| 9. D7×#510 | C2 | semidirect |
| 10. #11739473 | C2 | semidirect |
| 11. #11739469 | C2 | semidirect |
| 12. #11739454 | C2 | semidirect |
| 13. #11739452 | C2 | semidirect |
| 17. C22×C7×Q16 | C22 | semidirect |
| 20. #90462 | C22 | semidirect |
| 22. #90460 | C22 | semidirect |
| 27. #90457 | C22 | semidirect |
| 28. #90457 | C22 | semidirect |
| 29. #90457 | C22 | semidirect |
| 30. C2×#6482 | C22 | semidirect |
| 32. C2×D7×Q16 | C22 | semidirect |
| 34. #90448 | C22 | semidirect |
| 36. C2×#6467 | C22 | semidirect |
| 38. C7×#510 | C22 | semidirect |
| 39. C7×#510 | C22 | semidirect |
| 40. C2×C7×Q32 | C22 | semidirect |
| 41. C2×C7×SD32 | C22 | semidirect |
| 42. C2×C7×M32 | C22 | semidirect |
| 43. #89967 | C22 | semidirect |
| 44. #89966 | C22 | semidirect |
| 45. #89965 | C22 | semidirect |
| 46. C2×#6403 | C22 | semidirect |
| 47. #89951 | C22 | semidirect |
| 48. #89951 | C22 | semidirect |
| 49. #89951 | C22 | semidirect |
| 50. C2×#6402 | C22 | semidirect |
| 51. #89919 | C22 | semidirect |
| 52. C2×#6386 | C22 | semidirect |
| 53. #89691 | C22 | semidirect |
| 54. #89690 | C22 | semidirect |
| 55. #89690 | C22 | semidirect |
| 56. D7×Q32 | C22 | semidirect |
| 57. #89688 | C22 | semidirect |
| 58. #89687 | C22 | semidirect |
| 59. #89686 | C22 | semidirect |
| 60. D7×SD32 | C22 | semidirect |
| 61. #89681 | C22 | semidirect |
| 62. #89681 | C22 | semidirect |
| 63. #89680 | C22 | semidirect |
| 64. #89680 | C22 | semidirect |
| 65. #89679 | C22 | semidirect |
| 66. D7×M32 | C22 | semidirect |
| 67. #89676 | C22 | semidirect |
| 68. #89673 | C22 | semidirect |
| 185. C2×#510 | D7 | semidirect |
| 326. C22×Q16 | C2×D7 | semidirect |
| 337. #510 | C2×D7 | semidirect |
| 338. #510 | C2×D7 | semidirect |
| 350. C2×Q32 | C2×D7 | semidirect |
| 353. C2×SD32 | C2×D7 | semidirect |
| 358. C2×M32 | C2×D7 | semidirect |
| 752. C7 | #62637 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11744255 | 2 |
| C2×#90457 | 2 |
| C2×C7×#510 | 2 |
| #11741339 | 2 |
| C2×#89951 | 2 |
| #11739486 | 2 |
| #11739485 | 2 |
| #11739484 | 2 |
| D7×#510 | 2 |
| #11739473 | 2 |
| #11739469 | 2 |
| #11739454 | 2 |
| #11739452 | 2 |
| #62637 | 7 |