Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
798 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 798 conjugacy classes of subgroups — too many to draw. Only its 179 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11739336 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11739331 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #11739244 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #11739037 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | C7×#1716 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11729090 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11729089 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11729053 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11728970 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11725845 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | D7×#322 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#6482 | — | 2 | 2 | no | — |
| 13 | #90419 | C22 | 1 | 2 | yes | — |
| 14 | #90416 | C22 | 1 | 1 | yes | characteristic |
| 15 | #90416 | C22 | 1 | 1 | yes | characteristic |
| 16 | C7×#498 | C22 | 1 | 2 | yes | — |
| 17 | C7×#498 | C22 | 1 | 1 | yes | characteristic |
| 18 | C7×#494 | C22 | 1 | 1 | yes | characteristic |
| 19 | C7×#487 | C22 | 1 | 2 | yes | — |
| 20 | #89963 | — | 2 | 2 | no | — |
| 21 | #89865 | C22 | 1 | 2 | yes | — |
| 22 | #89860 | C22 | 1 | 2 | yes | — |
| 23 | #89857 | C22 | 1 | 1 | yes | characteristic |
| 24 | #89857 | C22 | 1 | 1 | yes | characteristic |
| 25 | #89857 | C22 | 1 | 2 | yes | — |
| 26 | #89851 | C22 | 1 | 2 | yes | — |
| 27 | #89850 | C22 | 1 | 2 | yes | — |
| 28 | #89636 | — | 2 | 4 | no | — |
| 29 | #89632 | — | 2 | 2 | no | — |
| 30 | #89630 | — | 2 | 2 | no | — |
| 31 | #89624 | — | 2 | 4 | no | — |
| 32 | #89579 | — | 2 | 4 | no | — |
| 33 | #89560 | — | 2 | 4 | no | — |
| 34 | #89467 | C22 | 1 | 1 | yes | characteristic |
| 35 | #89466 | C22 | 1 | 2 | yes | — |
| 36 | #89465 | C22 | 1 | 2 | yes | — |
| 37 | C4×C8×D7 | C22 | 1 | 1 | yes | characteristic |
| 38 | C4×C8×D7 | C22 | 1 | 2 | yes | — |
| 39 | #89452 | C22 | 1 | 1 | yes | characteristic |
| 40 | C7×#322 | C22 | 1 | 1 | yes | characteristic |
| 41 | #89250 | C22 | 1 | 1 | yes | characteristic |
| 42 | #89249 | C22 | 1 | 2 | yes | — |
| 43 | #19608 | — | 7 | 1 | no | maximal, Sylow |
| 44 | C2×#1161 | — | 2 | 1 | no | — |
| 45 | C2×#1161 | — | 2 | 1 | no | — |
| 46 | C2×C7×Q16 | — | 2 | 2 | no | — |
| 47 | C7×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 48 | C7×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 49 | C7×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 50 | #6510 | — | 2 | 1 | no | — |
| 51 | #6510 | — | 2 | 1 | no | — |
| 52 | #6509 | — | 2 | 2 | no | — |
| 53 | Q8×Dic7 | — | 2 | 2 | no | — |
| 54 | C2×#1143 | — | 2 | 2 | no | — |
| 55 | C2×#1143 | — | 2 | 2 | no | — |
| 56 | C2×#1143 | — | 2 | 4 | no | — |
| 57 | #6482 | — | 4 | 8 | no | — |
| 58 | C2×D56 | — | 2 | 2 | no | — |
| 59 | C2×#1132 | — | 2 | 4 | no | — |
| 60 | C2×C8×D7 | D4 | 1 | 4 | yes | — |
| 61 | C2×C8×D7 | D4 | 1 | 2 | yes | — |
| 62 | #6460 | — | 2 | 2 | no | — |
| 63 | #6458 | — | 2 | 2 | no | — |
| 64 | #6458 | — | 2 | 2 | no | — |
| 65 | #6456 | — | 2 | 2 | no | — |
| 66 | #6456 | — | 2 | 2 | no | — |
| 67 | #6455 | — | 2 | 2 | no | — |
| 68 | #6453 | — | 2 | 2 | no | — |
| 69 | #6450 | — | 2 | 2 | no | — |
| 70 | #6437 | C23 | 1 | 1 | yes | characteristic |
| 71 | #6437 | C23 | 1 | 1 | yes | characteristic |
| 72 | C42×D7 | C23 | 1 | 1 | yes | characteristic |
| 73 | #6432 | C23 | 1 | 2 | yes | — |
| 74 | C7×#106 | — | 2 | 4 | no | — |
| 75 | C7×#106 | — | 2 | 2 | no | — |
| 76 | C7×#103 | — | 2 | 4 | no | — |
| 77 | C4×C7×C8 | C23 | 1 | 2 | yes | — |
| 78 | C4×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 79 | #6395 | — | 2 | 4 | no | — |
| 80 | #6391 | — | 2 | 2 | no | — |
| 81 | C8×Dic7 | D4 | 1 | 4 | yes | — |
| 82 | C8×Dic7 | D4 | 1 | 2 | yes | — |
| 83 | #6384 | — | 2 | 4 | no | — |
| 84 | #6383 | — | 2 | 4 | no | — |
| 85 | #6382 | — | 2 | 4 | no | — |
| 86 | #6381 | — | 2 | 4 | no | — |
| 87 | C4×C7⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 88 | C4×C7⋊C8 | C23 | 1 | 2 | yes | — |
| 89 | #3167 | — | 7 | 2 | no | — |
| 90 | #3167 | — | 7 | 2 | no | — |
| 91 | #3160 | — | 7 | 1 | no | — |
| 92 | #3147 | — | 7 | 1 | no | — |
| 93 | #1716 | — | 7 | 1 | no | — |
| 94 | #1716 | D7 | 1 | 1 | yes | characteristic, complemented |
| 95 | #1715 | — | 7 | 1 | no | — |
| 96 | #1715 | — | 7 | 1 | no | — |
| 97 | #1714 | — | 7 | 2 | no | — |
| 98 | #1714 | — | 7 | 2 | no | — |
| 99 | C2×#322 | — | 7 | 1 | no | — |
| 100 | C2×C7×Q8 | — | 2 | 2 | no | — |
| 101 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 102 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 103 | #1161 | — | 4 | 4 | no | — |
| 104 | #1161 | — | 4 | 4 | no | — |
| 105 | C2×D28 | — | 2 | 2 | no | — |
| 106 | C2×D28 | — | 2 | 2 | no | — |
| 107 | C2×D28 | — | 2 | 1 | no | — |
| 108 | C2×D28 | — | 2 | 1 | no | — |
| 109 | C2×D28 | — | 4 | 1 | no | — |
| 110 | C2×D28 | — | 4 | 1 | no | — |
| 111 | C2×C4×D7 | — | 4 | 1 | no | — |
| 112 | C2×C4×D7 | — | 4 | 1 | no | — |
| 113 | C2×C4×D7 | C2×D4 | 1 | 2 | yes | — |
| 114 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 115 | C2×Dic14 | — | 2 | 2 | no | — |
| 116 | C7×Q16 | — | 4 | 4 | no | — |
| 117 | C2×C7×C8 | C2×D4 | 1 | 4 | yes | — |
| 118 | C2×C7×C8 | C2×D4 | 1 | 2 | yes | — |
| 119 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 120 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 121 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 122 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 123 | C42×C7 | C24 | 1 | 1 | yes | characteristic |
| 124 | #1143 | — | 4 | 8 | no | — |
| 125 | #1143 | — | 4 | 4 | no | — |
| 126 | #1143 | — | 4 | 4 | no | — |
| 127 | (C2×D7)⋊C4 | — | 4 | 2 | no | — |
| 128 | (C2×D7)⋊C4 | — | 4 | 2 | no | — |
| 129 | (C2×D7)⋊C4 | — | 4 | 2 | no | — |
| 130 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 131 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 132 | C4⋊Dic7 | — | 4 | 2 | no | — |
| 133 | Dic7⋊C4 | — | 4 | 2 | no | — |
| 134 | C4×Dic7 | — | 4 | 2 | no | — |
| 135 | C4×Dic7 | C2×D4 | 1 | 2 | yes | — |
| 136 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 137 | C2×C7⋊C8 | C2×D4 | 1 | 4 | yes | — |
| 138 | C2×C7⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 139 | D56 | — | 4 | 4 | no | — |
| 140 | #1132 | — | 4 | 8 | no | — |
| 141 | C8×D7 | — | 4 | 4 | no | — |
| 142 | C8×D7 | SD16 | 1 | 8 | yes | complemented |
| 143 | C2×#135 | — | 14 | 2 | no | — |
| 144 | #533 | — | 7 | 2 | no | — |
| 145 | #532 | — | 7 | 1 | no | — |
| 146 | #532 | — | 7 | 1 | no | — |
| 147 | #500 | — | 7 | 2 | no | — |
| 148 | #499 | — | 14 | 2 | no | — |
| 149 | #498 | — | 7 | 2 | no | — |
| 150 | #498 | — | 7 | 1 | no | — |
| 151 | #498 | C2×D7 | 1 | 1 | yes | characteristic |
| 152 | #498 | C2×D7 | 1 | 2 | yes | — |
| 153 | #495 | — | 14 | 2 | no | — |
| 154 | #494 | C2×D7 | 1 | 1 | yes | characteristic |
| 155 | #493 | — | 7 | 1 | no | — |
| 156 | #492 | — | 7 | 1 | no | — |
| 157 | #492 | — | 7 | 1 | no | — |
| 158 | #492 | — | 7 | 2 | no | — |
| 159 | #492 | — | 7 | 2 | no | — |
| 160 | #487 | — | 7 | 2 | no | — |
| 161 | #487 | C2×D7 | 1 | 2 | yes | — |
| 162 | #486 | — | 7 | 2 | no | — |
| 163 | #486 | — | 7 | 2 | no | — |
| 164 | #465 | — | 14 | 4 | no | — |
| 165 | #465 | — | 14 | 4 | no | — |
| 166 | C4×SD16 | — | 14 | 4 | no | — |
| 167 | C4×SD16 | — | 14 | 4 | no | — |
| 168 | #427 | — | 14 | 2 | no | — |
| 169 | C2×C4×C8 | — | 7 | 1 | no | — |
| 170 | C2×C4×C8 | — | 7 | 2 | no | — |
| 171 | #322 | — | 7 | 2 | no | — |
| 172 | #322 | — | 7 | 1 | no | — |
| 173 | #322 | C2×D7 | 1 | 1 | yes | characteristic |
| 174 | C22×D7 | — | 4 | 1 | no | — |
| 175 | C22×D7 | — | 4 | 1 | no | — |
| 176 | C22×D7 | #127 | 1 | 1 | yes | characteristic |
| 177 | C7×Q8 | — | 4 | 2 | no | — |
| 178 | C7×Q8 | — | 4 | 2 | no | — |
| 179 | C7×Q8 | — | 4 | 4 | no | — |
| 180 | C2×C4×C7 | — | 4 | 2 | no | — |
| 181 | C2×C4×C7 | — | 4 | 1 | no | — |
| 182 | C2×C4×C7 | — | 4 | 1 | no | — |
| 183 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 184 | C2×C4×C7 | C22×D4 | 1 | 2 | yes | — |
| 185 | C2×Dic7 | — | 4 | 2 | no | — |
| 186 | C2×Dic7 | #127 | 1 | 2 | yes | — |
| 187 | C2×Dic7 | #127 | 1 | 1 | yes | characteristic |
| 188 | D28 | — | 4 | 2 | no | — |
| 189 | D28 | — | 4 | 2 | no | — |
| 190 | D28 | — | 4 | 4 | no | — |
| 191 | D28 | — | 4 | 4 | no | — |
| 192 | D28 | — | 8 | 2 | no | — |
| 193 | D28 | — | 8 | 2 | no | — |
| 194 | C4×D7 | — | 2 | 4 | no | — |
| 195 | C4×D7 | — | 8 | 2 | no | — |
| 196 | C4×D7 | — | 8 | 2 | no | — |
| 197 | C4×D7 | C2×SD16 | 1 | 4 | yes | — |
| 198 | Dic14 | — | 4 | 4 | no | — |
| 199 | C7×C8 | — | 2 | 4 | no | — |
| 200 | C7×C8 | C2×SD16 | 1 | 4 | yes | — |
| 201 | C7⋊C8 | — | 2 | 4 | no | — |
| 202 | C7⋊C8 | C2×SD16 | 1 | 4 | yes | — |
| 203 | C2×#41 | — | 14 | 1 | no | — |
| 204 | C2×#41 | — | 14 | 1 | no | — |
| 205 | #135 | — | 28 | 8 | no | — |
| 206 | C2×Q16 | — | 2 | 2 | no | — |
| 207 | C2×SD16 | — | 14 | 2 | no | — |
| 208 | C2×SD16 | — | 14 | 2 | no | — |
| 209 | C2×SD16 | — | 14 | 4 | no | — |
| 210 | C2×SD16 | — | 14 | 4 | no | — |
| 211 | C2×D8 | — | 14 | 2 | no | — |
| 212 | C22×C8 | — | 7 | 2 | no | — |
| 213 | C22×C8 | — | 7 | 4 | no | — |
| 214 | C4⋊Q8 | — | 7 | 2 | no | — |
| 215 | C4⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 216 | C4⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 217 | C4⋊Q8 | C22×D7 | 1 | 2 | yes | — |
| 218 | #127 | — | 7 | 1 | no | — |
| 219 | #127 | — | 7 | 1 | no | — |
| 220 | #125 | — | 14 | 2 | no | — |
| 221 | #124 | — | 14 | 1 | no | — |
| 222 | #124 | — | 14 | 1 | no | — |
| 223 | C22⋊Q8 | — | 14 | 2 | no | — |
| 224 | C22⋊Q8 | — | 14 | 2 | no | — |
| 225 | #121 | — | 14 | 2 | no | — |
| 226 | #121 | — | 14 | 2 | no | — |
| 227 | C4×Q8 | — | 14 | 2 | no | — |
| 228 | C4×Q8 | — | 14 | 2 | no | — |
| 229 | C4×D4 | — | 14 | 2 | no | — |
| 230 | C4×D4 | — | 14 | 2 | no | — |
| 231 | #117 | — | 14 | 2 | no | — |
| 232 | C2×C42 | — | 7 | 1 | no | — |
| 233 | #107 | — | 14 | 4 | no | — |
| 234 | #106 | — | 2 | 2 | no | — |
| 235 | #106 | — | 2 | 4 | no | — |
| 236 | #106 | — | 14 | 4 | no | — |
| 237 | #106 | — | 14 | 2 | no | — |
| 238 | #103 | — | 2 | 4 | no | — |
| 239 | #103 | — | 14 | 4 | no | — |
| 240 | #102 | — | 14 | 4 | no | — |
| 241 | #102 | — | 14 | 4 | no | — |
| 242 | C4×C8 | — | 7 | 4 | no | — |
| 243 | C4×C8 | — | 7 | 2 | no | — |
| 244 | C4×C8 | — | 7 | 2 | no | — |
| 245 | C4×C8 | — | 7 | 1 | no | — |
| 246 | C4×C8 | C22×D7 | 1 | 2 | yes | — |
| 247 | C4×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 248 | C22×C7 | C2×#127 | 1 | 1 | yes | characteristic |
| 249 | C2×D7 | — | 2 | 2 | no | — |
| 250 | C2×D7 | — | 8 | 1 | no | — |
| 251 | C2×D7 | — | 8 | 1 | no | — |
| 252 | C2×D7 | — | 8 | 2 | no | — |
| 253 | C2×D7 | — | 8 | 2 | no | — |
| 254 | C2×D7 | #492 | 1 | 2 | yes | — |
| 255 | C4×C7 | — | 8 | 1 | no | — |
| 256 | C4×C7 | — | 8 | 1 | no | — |
| 257 | C4×C7 | — | 8 | 2 | no | — |
| 258 | C4×C7 | C22×SD16 | 1 | 2 | yes | — |
| 259 | C4×C7 | #575 | 1 | 4 | yes | — |
| 260 | Dic7 | — | 2 | 2 | no | — |
| 261 | Dic7 | — | 8 | 2 | no | — |
| 262 | Dic7 | #492 | 1 | 2 | yes | — |
| 263 | #41 | — | 28 | 4 | no | — |
| 264 | #41 | — | 28 | 4 | no | — |
| 265 | C2×Q8 | — | 2 | 2 | no | — |
| 266 | C2×Q8 | — | 2 | 1 | no | — |
| 267 | C2×Q8 | — | 2 | 1 | no | — |
| 268 | C2×Q8 | — | 14 | 2 | no | — |
| 269 | C2×D4 | — | 14 | 2 | no | — |
| 270 | C2×D4 | — | 14 | 2 | no | — |
| 271 | C2×D4 | — | 14 | 1 | no | — |
| 272 | C2×D4 | — | 14 | 1 | no | — |
| 273 | C2×D4 | — | 28 | 1 | no | — |
| 274 | C2×D4 | — | 28 | 1 | no | — |
| 275 | C22×C4 | — | 7 | 1 | no | — |
| 276 | C22×C4 | — | 7 | 2 | no | — |
| 277 | C22×C4 | — | 28 | 1 | no | — |
| 278 | C22×C4 | — | 28 | 1 | no | — |
| 279 | Q16 | — | 4 | 4 | no | — |
| 280 | SD16 | — | 28 | 8 | no | — |
| 281 | SD16 | — | 28 | 4 | no | — |
| 282 | SD16 | — | 28 | 4 | no | — |
| 283 | SD16 | — | 28 | 8 | no | — |
| 284 | D8 | — | 28 | 4 | no | — |
| 285 | C2×C8 | — | 7 | 2 | no | — |
| 286 | C2×C8 | — | 7 | 8 | no | — |
| 287 | C2×C8 | — | 7 | 4 | no | — |
| 288 | C2×C8 | — | 28 | 4 | no | — |
| 289 | C2×C8 | D4×D7 | 1 | 4 | yes | — |
| 290 | C2×C8 | D4×D7 | 1 | 2 | yes | — |
| 291 | C4⋊C4 | — | 2 | 2 | no | — |
| 292 | C4⋊C4 | — | 2 | 2 | no | — |
| 293 | C4⋊C4 | — | 2 | 2 | no | — |
| 294 | C4⋊C4 | — | 2 | 2 | no | — |
| 295 | C4⋊C4 | — | 14 | 2 | no | — |
| 296 | C4⋊C4 | — | 14 | 2 | no | — |
| 297 | C4⋊C4 | — | 28 | 2 | no | — |
| 298 | C4⋊C4 | — | 28 | 2 | no | — |
| 299 | C22⋊C4 | — | 28 | 2 | no | — |
| 300 | C22⋊C4 | — | 28 | 2 | no | — |
| 301 | C22⋊C4 | — | 28 | 2 | no | — |
| 302 | C42 | — | 7 | 2 | no | — |
| 303 | C42 | — | 7 | 1 | no | — |
| 304 | C42 | — | 28 | 2 | no | — |
| 305 | C42 | C23×D7 | 1 | 1 | yes | characteristic |
| 306 | C2×C7 | C2×#492 | 1 | 1 | yes | characteristic |
| 307 | C2×C7 | #3150 | 1 | 2 | yes | — |
| 308 | D7 | — | 2 | 2 | no | — |
| 309 | D7 | — | 16 | 1 | no | — |
| 310 | D7 | — | 16 | 1 | no | — |
| 311 | C23 | — | 7 | 1 | no | — |
| 312 | C23 | — | 28 | 1 | no | — |
| 313 | C23 | — | 28 | 1 | no | — |
| 314 | Q8 | — | 4 | 2 | no | — |
| 315 | Q8 | — | 4 | 2 | no | — |
| 316 | Q8 | — | 4 | 4 | no | — |
| 317 | Q8 | — | 28 | 4 | no | — |
| 318 | D4 | — | 28 | 2 | no | — |
| 319 | D4 | — | 28 | 2 | no | — |
| 320 | D4 | — | 28 | 4 | no | — |
| 321 | D4 | — | 28 | 4 | no | — |
| 322 | D4 | — | 56 | 2 | no | — |
| 323 | D4 | — | 56 | 2 | no | — |
| 324 | C2×C4 | — | 4 | 2 | no | — |
| 325 | C2×C4 | — | 4 | 1 | no | — |
| 326 | C2×C4 | — | 4 | 1 | no | — |
| 327 | C2×C4 | — | 7 | 1 | no | — |
| 328 | C2×C4 | — | 7 | 4 | no | — |
| 329 | C2×C4 | — | 7 | 2 | no | — |
| 330 | C2×C4 | — | 14 | 4 | no | — |
| 331 | C2×C4 | — | 28 | 2 | no | — |
| 332 | C2×C4 | — | 56 | 2 | no | — |
| 333 | C2×C4 | — | 56 | 2 | no | — |
| 334 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 335 | C2×C4 | C2×D4×D7 | 1 | 2 | yes | — |
| 336 | C8 | — | 2 | 4 | no | — |
| 337 | C8 | — | 7 | 4 | no | — |
| 338 | C8 | — | 14 | 4 | no | — |
| 339 | C8 | D7×SD16 | 1 | 4 | yes | — |
| 340 | C7 | #19608 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 341 | C22 | — | 7 | 2 | no | — |
| 342 | C22 | — | 14 | 2 | no | — |
| 343 | C22 | — | 56 | 1 | no | — |
| 344 | C22 | — | 56 | 1 | no | — |
| 345 | C22 | — | 56 | 2 | no | — |
| 346 | C22 | — | 56 | 2 | no | — |
| 347 | C22 | D7×#127 | 1 | 1 | yes | characteristic |
| 348 | C4 | — | 7 | 2 | no | — |
| 349 | C4 | — | 8 | 1 | no | — |
| 350 | C4 | — | 8 | 1 | no | — |
| 351 | C4 | — | 8 | 2 | no | — |
| 352 | C4 | — | 14 | 2 | no | — |
| 353 | C4 | — | 56 | 2 | no | — |
| 354 | C4 | C2×D7×SD16 | 1 | 2 | yes | — |
| 355 | C4 | #90468 | 1 | 4 | yes | — |
| 356 | C2 | — | 14 | 2 | no | — |
| 357 | C2 | — | 112 | 1 | no | — |
| 358 | C2 | — | 112 | 1 | no | — |
| 359 | C2 | D7×#492 | 1 | 1 | yes | characteristic |
| 360 | C2 | #11739314 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11739336 | C2 | semidirect |
| 2. #11739331 | C2 | semidirect |
| 4. #11739037 | C2 | semidirect |
| 5. C7×#1716 | C2 | semidirect |
| 6. #11729090 | C2 | semidirect |
| 7. #11729089 | C2 | semidirect |
| 8. #11729053 | C2 | semidirect |
| 9. #11728970 | C2 | semidirect |
| 10. #11725845 | C2 | semidirect |
| 11. D7×#322 | C2 | semidirect |
| 94. #1716 | D7 | semidirect |
| 142. C8×D7 | SD16 | semidirect |
| 340. C7 | #19608 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11739336 | 2 |
| #11739331 | 2 |
| #11739244 | 2 |
| #11739037 | 2 |
| C7×#1716 | 2 |
| #11729090 | 2 |
| #11729089 | 2 |
| #11729053 | 2 |
| #11728970 | 2 |
| #11725845 | 2 |
| D7×#322 | 2 |
| #19608 | 7 |