Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
1280 conjugacy classes of subgroups; only the 191 normal subgroups are shown.
This group has 1280 conjugacy classes of subgroups — too many to draw. Only its 191 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 | C2×#90410 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#89845 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#89485 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11731689 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C7×#1961 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11727958 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #11727926 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #11727584 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11727308 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×C7×#127 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×#6502 | — | 2 | 2 | no | — |
| 12 | C2×#6501 | C22 | 1 | 2 | yes | — |
| 13 | C2×#6498 | — | 2 | 2 | no | — |
| 14 | C2×D4×Dic7 | C22 | 1 | 2 | yes | — |
| 15 | C22×#1141 | C22 | 1 | 4 | yes | — |
| 16 | #90410 | — | 2 | 4 | no | — |
| 17 | #90410 | — | 2 | 4 | no | — |
| 18 | C2×#6458 | C22 | 1 | 2 | yes | — |
| 19 | C2×#6437 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#6435 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#6433 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C7×#102 | C22 | 1 | 4 | yes | — |
| 23 | C2×C7×#97 | C22 | 1 | 1 | yes | characteristic |
| 24 | C7×#382 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#6395 | C22 | 1 | 4 | yes | — |
| 26 | C2×(C2×D7)⋊C8 | C22 | 1 | 2 | yes | — |
| 27 | #89845 | — | 2 | 4 | no | — |
| 28 | #89760 | C22 | 1 | 2 | yes | — |
| 29 | C2×C4×C7⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 30 | #89485 | — | 2 | 4 | no | — |
| 31 | #89444 | — | 2 | 2 | no | — |
| 32 | #89443 | — | 2 | 2 | no | — |
| 33 | #89345 | C22 | 1 | 2 | yes | — |
| 34 | #89324 | C22 | 1 | 4 | yes | — |
| 35 | #25608 | — | 7 | 1 | no | maximal, Sylow |
| 36 | C22×C7×D4 | — | 2 | 2 | no | — |
| 37 | C22×C7×D4 | C23 | 1 | 2 | yes | — |
| 38 | C22×C22⋊D7 | — | 2 | 2 | no | — |
| 39 | C23×Dic7 | — | 2 | 2 | no | — |
| 40 | C22×D28 | — | 2 | 2 | no | — |
| 41 | C22×D28 | — | 2 | 2 | no | — |
| 42 | C22×D28 | C23 | 1 | 2 | yes | — |
| 43 | C22×C4×D7 | C23 | 1 | 1 | yes | characteristic |
| 44 | C22×C7×C8 | C23 | 1 | 2 | yes | — |
| 45 | C7×#127 | — | 2 | 2 | no | — |
| 46 | C7×#127 | D4 | 1 | 4 | yes | complemented |
| 47 | C2×C7×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 48 | C2×C42×C7 | C23 | 1 | 1 | yes | characteristic |
| 49 | C2×C22⋊Dic7 | — | 2 | 2 | no | — |
| 50 | C2×C22⋊Dic7 | — | 2 | 2 | no | — |
| 51 | #6502 | — | 2 | 16 | no | — |
| 52 | #6501 | — | 2 | 4 | no | — |
| 53 | #6501 | — | 2 | 4 | no | — |
| 54 | #6498 | — | 2 | 16 | no | — |
| 55 | D4×Dic7 | — | 2 | 4 | no | — |
| 56 | D4×Dic7 | — | 2 | 4 | no | — |
| 57 | C2×#1141 | — | 2 | 8 | no | — |
| 58 | C2×#1141 | — | 2 | 8 | no | — |
| 59 | C2×#1141 | — | 4 | 4 | no | — |
| 60 | C2×(C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 61 | C2×(C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 62 | C2×(C2×D7)⋊C4 | D4 | 1 | 2 | yes | — |
| 63 | C2×C4⋊Dic7 | C23 | 1 | 2 | yes | — |
| 64 | C2×Dic7⋊C4 | — | 2 | 2 | no | — |
| 65 | C2×Dic7⋊C4 | D4 | 1 | 2 | yes | — |
| 66 | C2×C4×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 67 | C22×C7⋊C8 | C23 | 1 | 2 | yes | — |
| 68 | #6458 | — | 4 | 4 | no | — |
| 69 | #6437 | — | 2 | 2 | no | — |
| 70 | #6437 | — | 2 | 2 | no | — |
| 71 | #6435 | — | 2 | 2 | no | — |
| 72 | #6435 | — | 2 | 2 | no | — |
| 73 | #6433 | — | 2 | 2 | no | — |
| 74 | #6433 | D4 | 1 | 4 | yes | complemented |
| 75 | C7×#102 | — | 4 | 4 | no | — |
| 76 | C7×#97 | — | 2 | 2 | no | — |
| 77 | C7×#95 | — | 2 | 2 | no | — |
| 78 | #6395 | — | 2 | 8 | no | — |
| 79 | (C2×D7)⋊C8 | — | 2 | 4 | no | — |
| 80 | C4×C7⋊C8 | — | 2 | 2 | no | — |
| 81 | C2×#540 | — | 7 | 1 | no | — |
| 82 | C2×#493 | — | 7 | 1 | no | — |
| 83 | C2×#490 | — | 7 | 1 | no | — |
| 84 | #2619 | — | 7 | 1 | no | — |
| 85 | #1999 | — | 7 | 4 | no | — |
| 86 | #1991 | — | 7 | 1 | no | — |
| 87 | #1961 | D7 | 1 | 1 | yes | characteristic, complemented |
| 88 | #1879 | — | 7 | 4 | no | — |
| 89 | #1750 | — | 7 | 1 | no | — |
| 90 | C24×C7 | — | 2 | 2 | no | — |
| 91 | C23×D7 | — | 2 | 2 | no | — |
| 92 | C23×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 93 | C2×C7×D4 | — | 2 | 8 | no | — |
| 94 | C2×C7×D4 | — | 2 | 2 | no | — |
| 95 | C2×C7×D4 | — | 2 | 4 | no | — |
| 96 | C2×C7×D4 | — | 2 | 4 | no | — |
| 97 | C2×C7×D4 | — | 8 | 4 | no | — |
| 98 | C2×C7×D4 | C2×D4 | 1 | 4 | yes | — |
| 99 | C22×C4×C7 | — | 2 | 2 | no | — |
| 100 | C22×C4×C7 | C2×D4 | 1 | 2 | yes | — |
| 101 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 102 | C2×C22⋊D7 | — | 2 | 8 | no | — |
| 103 | C2×C22⋊D7 | — | 8 | 4 | no | — |
| 104 | C22×Dic7 | — | 2 | 2 | no | — |
| 105 | C22×Dic7 | — | 2 | 8 | no | — |
| 106 | C22×Dic7 | — | 8 | 4 | no | — |
| 107 | C22×Dic7 | C2×D4 | 1 | 2 | yes | — |
| 108 | C22×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 109 | C2×D28 | — | 2 | 2 | no | — |
| 110 | C2×D28 | — | 2 | 2 | no | — |
| 111 | C2×D28 | — | 2 | 4 | no | — |
| 112 | C2×D28 | — | 2 | 4 | no | — |
| 113 | C2×D28 | — | 4 | 4 | no | — |
| 114 | C2×D28 | — | 4 | 4 | no | — |
| 115 | C2×D28 | — | 8 | 4 | no | — |
| 116 | C2×D28 | — | 8 | 4 | no | — |
| 117 | C2×C4×D7 | — | 2 | 1 | no | — |
| 118 | C2×C4×D7 | — | 2 | 1 | no | — |
| 119 | C2×C4×D7 | — | 2 | 2 | no | — |
| 120 | C2×C4×D7 | — | 2 | 2 | no | — |
| 121 | C2×C7×C8 | — | 2 | 2 | no | — |
| 122 | C2×C7×C8 | — | 2 | 2 | no | — |
| 123 | C2×C7×C8 | — | 2 | 2 | no | — |
| 124 | C7×C4⋊C4 | — | 2 | 4 | no | — |
| 125 | C42×C7 | C2×D4 | 1 | 2 | yes | — |
| 126 | C42×C7 | C2×D4 | 1 | 2 | yes | — |
| 127 | C22⋊Dic7 | — | 2 | 8 | no | — |
| 128 | C22⋊Dic7 | — | 2 | 8 | no | — |
| 129 | #1141 | — | 4 | 16 | no | — |
| 130 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 131 | (C2×D7)⋊C4 | — | 4 | 4 | no | — |
| 132 | (C2×D7)⋊C4 | — | 8 | 4 | no | — |
| 133 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 134 | C4⋊Dic7 | C2×D4 | 1 | 4 | yes | — |
| 135 | Dic7⋊C4 | — | 2 | 8 | no | — |
| 136 | Dic7⋊C4 | — | 2 | 4 | no | — |
| 137 | C4×Dic7 | — | 2 | 1 | no | — |
| 138 | C4×Dic7 | — | 2 | 1 | no | — |
| 139 | C2×C7⋊C8 | — | 2 | 2 | no | — |
| 140 | C2×C7⋊C8 | — | 2 | 2 | no | — |
| 141 | C2×C7⋊C8 | #41 | 1 | 4 | yes | — |
| 142 | C22×D8 | — | 7 | 4 | no | — |
| 143 | #540 | — | 14 | 4 | no | — |
| 144 | #540 | — | 14 | 4 | no | — |
| 145 | C2×#127 | — | 7 | 1 | no | — |
| 146 | C2×#127 | C2×D7 | 1 | 1 | yes | characteristic |
| 147 | C2×#125 | — | 7 | 1 | no | — |
| 148 | C2×#123 | — | 14 | 2 | no | — |
| 149 | C2×#121 | — | 7 | 2 | no | — |
| 150 | C2×#121 | — | 7 | 2 | no | — |
| 151 | C2×#121 | — | 14 | 2 | no | — |
| 152 | C2×C4×D4 | — | 7 | 2 | no | — |
| 153 | C2×#117 | — | 7 | 1 | no | — |
| 154 | #493 | — | 14 | 4 | no | — |
| 155 | #490 | — | 14 | 4 | no | — |
| 156 | C2×#102 | — | 7 | 4 | no | — |
| 157 | C2×#102 | C2×D7 | 1 | 4 | yes | — |
| 158 | C2×C22⋊C8 | — | 7 | 2 | no | — |
| 159 | C2×#97 | C2×D7 | 1 | 1 | yes | characteristic |
| 160 | C2×C4×C8 | — | 7 | 1 | no | — |
| 161 | #394 | — | 14 | 2 | no | — |
| 162 | #392 | — | 14 | 2 | no | — |
| 163 | #390 | — | 7 | 2 | no | — |
| 164 | #382 | C2×D7 | 1 | 1 | yes | characteristic |
| 165 | #340 | — | 7 | 4 | no | — |
| 166 | #336 | — | 7 | 2 | no | — |
| 167 | C23×C7 | — | 2 | 4 | no | — |
| 168 | C23×C7 | — | 4 | 2 | no | — |
| 169 | C23×C7 | — | 4 | 2 | no | — |
| 170 | C23×C7 | — | 4 | 4 | no | — |
| 171 | C23×C7 | — | 4 | 4 | no | — |
| 172 | C23×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 173 | C22×D7 | — | 2 | 1 | no | — |
| 174 | C22×D7 | — | 2 | 1 | no | — |
| 175 | C22×D7 | — | 2 | 1 | no | — |
| 176 | C22×D7 | — | 2 | 4 | no | — |
| 177 | C22×D7 | — | 4 | 2 | no | — |
| 178 | C22×D7 | — | 4 | 2 | no | — |
| 179 | C22×D7 | — | 4 | 2 | no | — |
| 180 | C22×D7 | — | 4 | 4 | no | — |
| 181 | C22×D7 | — | 4 | 4 | no | — |
| 182 | C7×D4 | — | 2 | 8 | no | — |
| 183 | C7×D4 | — | 4 | 4 | no | — |
| 184 | C7×D4 | — | 8 | 8 | no | — |
| 185 | C2×C4×C7 | — | 2 | 4 | no | — |
| 186 | C2×C4×C7 | — | 4 | 2 | no | — |
| 187 | C2×C4×C7 | — | 4 | 4 | no | — |
| 188 | C2×C4×C7 | #120 | 1 | 4 | yes | — |
| 189 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 190 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 191 | C2×C4×C7 | C2×#41 | 1 | 2 | yes | — |
| 192 | C2×C4×C7 | H(5,𝔽2) | 1 | 2 | yes | — |
| 193 | C22⋊D7 | — | 8 | 8 | no | — |
| 194 | C2×Dic7 | — | 2 | 2 | no | — |
| 195 | C2×Dic7 | — | 2 | 4 | no | — |
| 196 | C2×Dic7 | — | 2 | 1 | no | — |
| 197 | C2×Dic7 | — | 2 | 1 | no | — |
| 198 | C2×Dic7 | — | 2 | 1 | no | — |
| 199 | C2×Dic7 | — | 2 | 4 | no | — |
| 200 | C2×Dic7 | — | 4 | 4 | no | — |
| 201 | C2×Dic7 | — | 8 | 8 | no | — |
| 202 | D28 | — | 4 | 4 | no | — |
| 203 | D28 | — | 4 | 4 | no | — |
| 204 | D28 | — | 8 | 8 | no | — |
| 205 | D28 | — | 8 | 8 | no | — |
| 206 | C4×D7 | — | 4 | 2 | no | — |
| 207 | C4×D7 | — | 4 | 2 | no | — |
| 208 | C7×C8 | — | 4 | 2 | no | — |
| 209 | C7⋊C8 | — | 2 | 4 | no | — |
| 210 | C22×D4 | — | 2 | 2 | no | — |
| 211 | C22×D4 | — | 7 | 2 | no | — |
| 212 | C22×D4 | — | 14 | 2 | no | — |
| 213 | C22×D4 | — | 14 | 2 | no | — |
| 214 | C22×D4 | — | 14 | 2 | no | — |
| 215 | C22×D4 | C22×D7 | 1 | 2 | yes | — |
| 216 | C23×C4 | — | 7 | 1 | no | — |
| 217 | C23×C4 | — | 14 | 2 | no | — |
| 218 | C2×D8 | — | 14 | 8 | no | — |
| 219 | C2×D8 | — | 14 | 8 | no | — |
| 220 | C2×D8 | — | 28 | 4 | no | — |
| 221 | C22×C8 | — | 7 | 2 | no | — |
| 222 | C22×C8 | C22×D7 | 1 | 2 | yes | — |
| 223 | #127 | — | 2 | 2 | no | — |
| 224 | #127 | — | 14 | 2 | no | — |
| 225 | #127 | — | 14 | 2 | no | — |
| 226 | #127 | D28 | 1 | 4 | yes | complemented |
| 227 | #125 | — | 7 | 4 | no | — |
| 228 | #125 | — | 14 | 2 | no | — |
| 229 | #123 | — | 14 | 16 | no | — |
| 230 | #121 | — | 14 | 4 | no | — |
| 231 | #121 | — | 14 | 16 | no | — |
| 232 | #121 | — | 14 | 4 | no | — |
| 233 | #121 | — | 28 | 4 | no | — |
| 234 | C4×D4 | — | 14 | 4 | no | — |
| 235 | C4×D4 | — | 14 | 4 | no | — |
| 236 | #117 | — | 14 | 2 | no | — |
| 237 | #117 | — | 14 | 2 | no | — |
| 238 | C2×C4⋊C4 | — | 7 | 2 | no | — |
| 239 | C2×C4⋊C4 | — | 7 | 2 | no | — |
| 240 | C2×C4⋊C4 | — | 14 | 2 | no | — |
| 241 | C2×C4⋊C4 | C22×D7 | 1 | 2 | yes | — |
| 242 | C2×C22⋊C4 | — | 7 | 2 | no | — |
| 243 | C2×C22⋊C4 | — | 14 | 2 | no | — |
| 244 | C2×C22⋊C4 | — | 14 | 2 | no | — |
| 245 | C2×C22⋊C4 | — | 14 | 2 | no | — |
| 246 | C2×C22⋊C4 | — | 14 | 4 | no | — |
| 247 | C2×C42 | — | 7 | 1 | no | — |
| 248 | C2×C42 | C22×D7 | 1 | 1 | yes | characteristic |
| 249 | #102 | — | 4 | 4 | no | — |
| 250 | #102 | — | 14 | 8 | no | — |
| 251 | C22⋊C8 | — | 14 | 4 | no | — |
| 252 | #97 | — | 2 | 2 | no | — |
| 253 | C4×C8 | — | 14 | 2 | no | — |
| 254 | #95 | — | 2 | 2 | no | — |
| 255 | C22×C7 | — | 4 | 4 | no | — |
| 256 | C22×C7 | — | 4 | 4 | no | — |
| 257 | C22×C7 | — | 4 | 4 | no | — |
| 258 | C22×C7 | — | 8 | 4 | no | — |
| 259 | C22×C7 | — | 8 | 4 | no | — |
| 260 | C22×C7 | C2×#120 | 1 | 1 | yes | characteristic |
| 261 | C22×C7 | #532 | 1 | 1 | yes | characteristic |
| 262 | C22×C7 | #535 | 1 | 1 | yes | characteristic |
| 263 | C22×C7 | #576 | 1 | 4 | yes | — |
| 264 | C2×D7 | — | 4 | 2 | no | — |
| 265 | C2×D7 | — | 4 | 1 | no | — |
| 266 | C2×D7 | — | 4 | 2 | no | — |
| 267 | C2×D7 | — | 4 | 2 | no | — |
| 268 | C2×D7 | — | 8 | 4 | no | — |
| 269 | C2×D7 | — | 8 | 2 | no | — |
| 270 | C2×D7 | — | 8 | 2 | no | — |
| 271 | C2×D7 | — | 8 | 2 | no | — |
| 272 | C2×D7 | — | 8 | 4 | no | — |
| 273 | C4×C7 | — | 2 | 4 | no | — |
| 274 | C4×C7 | — | 8 | 2 | no | — |
| 275 | C4×C7 | #546 | 1 | 2 | yes | — |
| 276 | C4×C7 | #550 | 1 | 2 | yes | — |
| 277 | Dic7 | — | 4 | 1 | no | — |
| 278 | Dic7 | — | 4 | 2 | no | — |
| 279 | Dic7 | — | 4 | 4 | no | — |
| 280 | C24 | — | 2 | 2 | no | — |
| 281 | C24 | — | 7 | 1 | no | — |
| 282 | C24 | — | 14 | 2 | no | — |
| 283 | C2×D4 | — | 2 | 8 | no | — |
| 284 | C2×D4 | — | 2 | 2 | no | — |
| 285 | C2×D4 | — | 2 | 4 | no | — |
| 286 | C2×D4 | — | 2 | 4 | no | — |
| 287 | C2×D4 | — | 8 | 4 | no | — |
| 288 | C2×D4 | — | 14 | 8 | no | — |
| 289 | C2×D4 | — | 14 | 2 | no | — |
| 290 | C2×D4 | — | 14 | 2 | no | — |
| 291 | C2×D4 | — | 14 | 4 | no | — |
| 292 | C2×D4 | — | 14 | 4 | no | — |
| 293 | C2×D4 | — | 28 | 4 | no | — |
| 294 | C2×D4 | — | 28 | 4 | no | — |
| 295 | C2×D4 | — | 56 | 4 | no | — |
| 296 | C2×D4 | — | 56 | 4 | no | — |
| 297 | C2×D4 | — | 56 | 4 | no | — |
| 298 | C2×D4 | C2×D28 | 1 | 4 | yes | — |
| 299 | C22×C4 | — | 2 | 2 | no | — |
| 300 | C22×C4 | — | 7 | 2 | no | — |
| 301 | C22×C4 | — | 7 | 1 | no | — |
| 302 | C22×C4 | — | 14 | 2 | no | — |
| 303 | C22×C4 | — | 14 | 8 | no | — |
| 304 | C22×C4 | — | 14 | 1 | no | — |
| 305 | C22×C4 | — | 14 | 1 | no | — |
| 306 | C22×C4 | — | 14 | 2 | no | — |
| 307 | C22×C4 | — | 14 | 2 | no | — |
| 308 | C22×C4 | — | 56 | 4 | no | — |
| 309 | C22×C4 | D4×D7 | 1 | 2 | yes | — |
| 310 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 311 | D8 | — | 28 | 16 | no | — |
| 312 | C2×C8 | — | 2 | 2 | no | — |
| 313 | C2×C8 | — | 2 | 2 | no | — |
| 314 | C2×C8 | — | 2 | 2 | no | — |
| 315 | C2×C8 | — | 7 | 4 | no | — |
| 316 | C2×C8 | — | 14 | 2 | no | — |
| 317 | C2×C8 | — | 14 | 2 | no | — |
| 318 | C4⋊C4 | — | 2 | 4 | no | — |
| 319 | C4⋊C4 | — | 7 | 4 | no | — |
| 320 | C4⋊C4 | — | 14 | 4 | no | — |
| 321 | C4⋊C4 | — | 14 | 8 | no | — |
| 322 | C4⋊C4 | — | 14 | 2 | no | — |
| 323 | C22⋊C4 | — | 14 | 8 | no | — |
| 324 | C22⋊C4 | — | 14 | 8 | no | — |
| 325 | C22⋊C4 | — | 14 | 4 | no | — |
| 326 | C22⋊C4 | — | 28 | 4 | no | — |
| 327 | C22⋊C4 | — | 56 | 4 | no | — |
| 328 | C42 | — | 14 | 1 | no | — |
| 329 | C42 | — | 14 | 1 | no | — |
| 330 | C42 | C2×D28 | 1 | 2 | yes | — |
| 331 | C42 | D4×D7 | 1 | 2 | yes | — |
| 332 | C2×C7 | — | 8 | 4 | no | — |
| 333 | C2×C7 | #2431 | 1 | 1 | yes | characteristic |
| 334 | C2×C7 | #3008 | 1 | 2 | yes | — |
| 335 | C2×C7 | #3176 | 1 | 2 | yes | — |
| 336 | C2×C7 | #3220 | 1 | 2 | yes | — |
| 337 | D7 | — | 8 | 1 | no | — |
| 338 | D7 | — | 16 | 2 | no | — |
| 339 | C23 | — | 2 | 4 | no | — |
| 340 | C23 | — | 4 | 2 | no | — |
| 341 | C23 | — | 4 | 4 | no | — |
| 342 | C23 | — | 4 | 4 | no | — |
| 343 | C23 | — | 4 | 2 | no | — |
| 344 | C23 | — | 14 | 1 | no | — |
| 345 | C23 | — | 14 | 1 | no | — |
| 346 | C23 | — | 14 | 4 | no | — |
| 347 | C23 | — | 14 | 1 | no | — |
| 348 | C23 | — | 28 | 2 | no | — |
| 349 | C23 | — | 28 | 2 | no | — |
| 350 | C23 | — | 28 | 4 | no | — |
| 351 | C23 | — | 28 | 4 | no | — |
| 352 | C23 | — | 28 | 2 | no | — |
| 353 | C23 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 354 | D4 | — | 2 | 8 | no | — |
| 355 | D4 | — | 4 | 4 | no | — |
| 356 | D4 | — | 8 | 8 | no | — |
| 357 | D4 | — | 28 | 4 | no | — |
| 358 | D4 | — | 28 | 4 | no | — |
| 359 | D4 | — | 56 | 8 | no | — |
| 360 | D4 | — | 56 | 8 | no | — |
| 361 | D4 | — | 56 | 8 | no | — |
| 362 | C2×C4 | — | 2 | 4 | no | — |
| 363 | C2×C4 | — | 4 | 2 | no | — |
| 364 | C2×C4 | — | 4 | 4 | no | — |
| 365 | C2×C4 | — | 14 | 1 | no | — |
| 366 | C2×C4 | — | 14 | 2 | no | — |
| 367 | C2×C4 | — | 14 | 1 | no | — |
| 368 | C2×C4 | — | 14 | 4 | no | — |
| 369 | C2×C4 | — | 14 | 4 | no | — |
| 370 | C2×C4 | — | 14 | 1 | no | — |
| 371 | C2×C4 | — | 28 | 4 | no | — |
| 372 | C2×C4 | — | 28 | 2 | no | — |
| 373 | C2×C4 | — | 28 | 2 | no | — |
| 374 | C2×C4 | — | 56 | 8 | no | — |
| 375 | C2×C4 | #6445 | 1 | 4 | yes | — |
| 376 | C2×C4 | C22×D28 | 1 | 1 | yes | characteristic |
| 377 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 378 | C2×C4 | #6548 | 1 | 2 | yes | — |
| 379 | C2×C4 | D7×#41 | 1 | 2 | yes | — |
| 380 | C8 | — | 4 | 2 | no | — |
| 381 | C8 | — | 14 | 4 | no | — |
| 382 | C7 | #25608 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 383 | C22 | — | 4 | 4 | no | — |
| 384 | C22 | — | 4 | 4 | no | — |
| 385 | C22 | — | 4 | 4 | no | — |
| 386 | C22 | — | 8 | 4 | no | — |
| 387 | C22 | — | 8 | 4 | no | — |
| 388 | C22 | — | 28 | 2 | no | — |
| 389 | C22 | — | 28 | 2 | no | — |
| 390 | C22 | — | 28 | 2 | no | — |
| 391 | C22 | — | 28 | 1 | no | — |
| 392 | C22 | — | 56 | 4 | no | — |
| 393 | C22 | — | 56 | 4 | no | — |
| 394 | C22 | — | 56 | 2 | no | — |
| 395 | C22 | — | 56 | 2 | no | — |
| 396 | C22 | — | 56 | 2 | no | — |
| 397 | C22 | C2×#6445 | 1 | 1 | yes | characteristic |
| 398 | C22 | #90359 | 1 | 1 | yes | characteristic |
| 399 | C22 | #90406 | 1 | 1 | yes | characteristic |
| 400 | C22 | #90465 | 1 | 4 | yes | — |
| 401 | C4 | — | 2 | 4 | no | — |
| 402 | C4 | — | 8 | 2 | no | — |
| 403 | C4 | — | 28 | 2 | no | — |
| 404 | C4 | — | 28 | 4 | no | — |
| 405 | C4 | — | 28 | 1 | no | — |
| 406 | C4 | #90245 | 1 | 2 | yes | — |
| 407 | C4 | #90290 | 1 | 2 | yes | — |
| 408 | C2 | — | 8 | 4 | no | — |
| 409 | C2 | — | 56 | 1 | no | — |
| 410 | C2 | — | 112 | 2 | no | — |
| 411 | C2 | #11733758 | 1 | 1 | yes | characteristic |
| 412 | C2 | #11736373 | 1 | 2 | yes | — |
| 413 | C2 | #11739151 | 1 | 2 | yes | — |
| 414 | C2 | #11739298 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#90410 | C2 | semidirect |
| 2. C2×#89845 | C2 | semidirect |
| 3. C2×#89485 | C2 | semidirect |
| 4. #11731689 | C2 | semidirect |
| 5. C7×#1961 | C2 | semidirect |
| 6. #11727958 | C2 | semidirect |
| 7. #11727926 | C2 | semidirect |
| 8. #11727584 | C2 | semidirect |
| 9. #11727308 | C2 | semidirect |
| 46. C7×#127 | D4 | semidirect |
| 74. #6433 | D4 | semidirect |
| 87. #1961 | D7 | semidirect |
| 226. #127 | D28 | semidirect |
| 382. C7 | #25608 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#90410 | 2 |
| C2×#89845 | 2 |
| C2×#89485 | 2 |
| #11731689 | 2 |
| C7×#1961 | 2 |
| #11727958 | 2 |
| #11727926 | 2 |
| #11727584 | 2 |
| #11727308 | 2 |
| #25608 | 7 |