Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
996 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 996 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 | C7×#3549 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11740766 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #11740726 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11729683 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #11729662 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #11729564 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11729556 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | C7×H(3,𝔽4) | — | 2 | 2 | no | — |
| 9 | C7×#555 | — | 2 | 2 | no | — |
| 10 | C7×#555 | C22 | 1 | 2 | yes | — |
| 11 | C7×D42 | — | 2 | 2 | no | — |
| 12 | C7×D42 | C22 | 1 | 2 | yes | — |
| 13 | C7×#535 | — | 2 | 2 | no | — |
| 14 | C7×#535 | — | 2 | 4 | no | — |
| 15 | C7×#532 | C22 | 1 | 1 | yes | characteristic |
| 16 | C7×#532 | C22 | 1 | 2 | yes | — |
| 17 | #90161 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | #90005 | — | 2 | 2 | no | — |
| 19 | #89863 | — | 2 | 2 | no | — |
| 20 | #89853 | C22 | 1 | 2 | yes | complemented |
| 21 | #89847 | — | 2 | 2 | no | — |
| 22 | #89842 | C22 | 1 | 2 | yes | — |
| 23 | #89828 | — | 2 | 2 | no | — |
| 24 | #89814 | — | 2 | 4 | no | — |
| 25 | #89791 | C22 | 1 | 4 | yes | complemented |
| 26 | #89779 | C22 | 1 | 4 | yes | complemented |
| 27 | #89696 | C22 | 1 | 2 | yes | complemented |
| 28 | C2×C4×C7⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #89341 | C22 | 1 | 2 | yes | complemented |
| 30 | #89339 | C22 | 1 | 2 | yes | — |
| 31 | D4⋊(C7⋊C8) | C22 | 1 | 8 | yes | complemented |
| 32 | #18691 | — | 7 | 1 | no | maximal, Sylow |
| 33 | C2×C7×#41 | — | 2 | 2 | no | — |
| 34 | C2×C7×#41 | D4 | 1 | 2 | yes | — |
| 35 | C22×C7×D4 | — | 2 | 2 | no | — |
| 36 | C22×C7×D4 | — | 2 | 4 | no | — |
| 37 | C7×C4⋊Q8 | D4 | 1 | 2 | yes | — |
| 38 | C7×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 39 | C7×#127 | — | 2 | 4 | no | — |
| 40 | C7×#127 | D4 | 1 | 2 | yes | — |
| 41 | C7×#127 | C23 | 1 | 1 | yes | characteristic |
| 42 | C7×#124 | — | 2 | 8 | no | — |
| 43 | C7×#124 | — | 2 | 4 | no | — |
| 44 | C7×#124 | — | 2 | 2 | no | — |
| 45 | C7×#124 | D4 | 1 | 2 | yes | — |
| 46 | C7×#121 | — | 2 | 4 | no | — |
| 47 | C7×#121 | — | 2 | 4 | no | — |
| 48 | C7×#121 | — | 2 | 2 | no | — |
| 49 | C7×#121 | — | 2 | 2 | no | — |
| 50 | C7×#121 | — | 2 | 4 | no | — |
| 51 | C7×#121 | D4 | 1 | 4 | yes | — |
| 52 | C7×#120 | — | 2 | 4 | no | — |
| 53 | C7×#120 | — | 2 | 8 | no | — |
| 54 | C7×#120 | — | 2 | 4 | no | — |
| 55 | C4×C7×D4 | — | 2 | 2 | no | — |
| 56 | C4×C7×D4 | — | 2 | 2 | no | — |
| 57 | C4×C7×D4 | C23 | 1 | 4 | yes | — |
| 58 | C7×#117 | — | 2 | 2 | no | — |
| 59 | C7×#117 | — | 2 | 4 | no | — |
| 60 | C2×C42×C7 | C23 | 1 | 1 | yes | characteristic |
| 61 | C2×#1142 | — | 2 | 4 | no | — |
| 62 | #6489 | — | 2 | 1 | no | — |
| 63 | #6487 | — | 2 | 2 | no | — |
| 64 | C2×#1136 | — | 2 | 2 | no | — |
| 65 | C22×C7⋊C8 | — | 2 | 1 | no | — |
| 66 | #6433 | — | 2 | 1 | no | — |
| 67 | #6432 | C23 | 1 | 2 | yes | — |
| 68 | C4×Dic14 | — | 2 | 2 | no | — |
| 69 | #6409 | — | 2 | 4 | no | — |
| 70 | #6406 | — | 2 | 4 | no | — |
| 71 | #6406 | — | 2 | 4 | no | — |
| 72 | #6384 | — | 2 | 4 | no | — |
| 73 | #6381 | — | 2 | 4 | no | — |
| 74 | C4⋊(C7⋊C8) | — | 2 | 2 | no | — |
| 75 | C4⋊(C7⋊C8) | C23 | 1 | 4 | yes | — |
| 76 | C4×C7⋊C8 | — | 2 | 1 | no | — |
| 77 | C4×C7⋊C8 | C23 | 1 | 2 | yes | — |
| 78 | #3549 | D7 | 1 | 1 | yes | characteristic |
| 79 | #3254 | — | 7 | 2 | no | — |
| 80 | #3131 | — | 7 | 1 | no | — |
| 81 | #1646 | — | 7 | 4 | no | — |
| 82 | #1639 | — | 7 | 4 | no | — |
| 83 | #1560 | — | 7 | 1 | no | — |
| 84 | #1492 | — | 7 | 2 | no | — |
| 85 | C24×C7 | — | 2 | 4 | no | — |
| 86 | C7×#41 | — | 4 | 4 | no | — |
| 87 | C7×#41 | — | 8 | 2 | no | — |
| 88 | C7×#41 | — | 8 | 2 | no | — |
| 89 | C2×C7×Q8 | — | 2 | 2 | no | — |
| 90 | C2×C7×Q8 | C2×D4 | 1 | 2 | yes | — |
| 91 | C2×C7×D4 | — | 2 | 4 | no | — |
| 92 | C2×C7×D4 | — | 2 | 8 | no | — |
| 93 | C2×C7×D4 | — | 2 | 2 | no | — |
| 94 | C2×C7×D4 | — | 2 | 4 | no | — |
| 95 | C2×C7×D4 | — | 2 | 2 | no | — |
| 96 | C2×C7×D4 | — | 2 | 2 | no | — |
| 97 | C2×C7×D4 | — | 2 | 2 | no | — |
| 98 | C2×C7×D4 | — | 8 | 4 | no | — |
| 99 | C2×C7×D4 | — | 8 | 4 | no | — |
| 100 | C2×C7×D4 | — | 8 | 4 | no | — |
| 101 | C2×C7×D4 | C2×D4 | 1 | 4 | yes | — |
| 102 | C2×C7×D4 | C2×D4 | 1 | 2 | yes | — |
| 103 | C22×C4×C7 | — | 2 | 2 | no | — |
| 104 | C22×C4×C7 | — | 2 | 4 | no | — |
| 105 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 106 | C22×C4×C7 | C2×D4 | 1 | 2 | yes | — |
| 107 | C2×Dic14 | — | 2 | 2 | no | — |
| 108 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 109 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 110 | C7×C4⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 111 | C7×C22⋊C4 | — | 2 | 8 | no | — |
| 112 | C7×C22⋊C4 | — | 2 | 4 | no | — |
| 113 | C7×C22⋊C4 | — | 2 | 4 | no | — |
| 114 | C7×C22⋊C4 | — | 2 | 4 | no | — |
| 115 | C7×C22⋊C4 | — | 2 | 4 | no | — |
| 116 | C42×C7 | — | 2 | 4 | no | — |
| 117 | C42×C7 | C2×D4 | 1 | 2 | yes | — |
| 118 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 119 | C42×C7 | C24 | 1 | 1 | yes | characteristic |
| 120 | C22⋊Dic7 | — | 4 | 1 | no | — |
| 121 | #1142 | — | 8 | 4 | no | — |
| 122 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 123 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 124 | Dic7⋊C4 | — | 4 | 2 | no | — |
| 125 | C4×Dic7 | — | 4 | 1 | no | — |
| 126 | #1136 | — | 8 | 2 | no | — |
| 127 | C2×C7⋊C8 | — | 2 | 2 | no | — |
| 128 | C2×C7⋊C8 | — | 2 | 4 | no | — |
| 129 | C2×C7⋊C8 | — | 4 | 2 | no | — |
| 130 | H(3,𝔽4) | — | 2 | 2 | no | — |
| 131 | #555 | — | 2 | 2 | no | — |
| 132 | #555 | C2×D7 | 1 | 2 | yes | — |
| 133 | D42 | — | 2 | 2 | no | — |
| 134 | D42 | C2×D7 | 1 | 2 | yes | — |
| 135 | #535 | — | 2 | 2 | no | — |
| 136 | #535 | — | 2 | 4 | no | — |
| 137 | #533 | — | 7 | 1 | no | — |
| 138 | #532 | C2×D7 | 1 | 1 | yes | characteristic |
| 139 | #532 | C2×D7 | 1 | 2 | yes | — |
| 140 | #488 | — | 14 | 2 | no | — |
| 141 | #487 | — | 7 | 2 | no | — |
| 142 | #486 | — | 7 | 2 | no | — |
| 143 | #477 | — | 14 | 2 | no | — |
| 144 | #474 | — | 7 | 4 | no | — |
| 145 | #468 | — | 14 | 4 | no | — |
| 146 | #461 | — | 7 | 4 | no | — |
| 147 | #460 | — | 14 | 2 | no | — |
| 148 | #423 | — | 7 | 2 | no | — |
| 149 | #416 | — | 14 | 2 | no | — |
| 150 | C2×C4×C8 | — | 7 | 1 | no | — |
| 151 | #333 | — | 7 | 2 | no | — |
| 152 | #331 | — | 7 | 2 | no | — |
| 153 | D4⋊C8 | — | 7 | 8 | no | — |
| 154 | C23×C7 | — | 2 | 4 | no | — |
| 155 | C23×C7 | — | 2 | 2 | no | — |
| 156 | C23×C7 | — | 8 | 8 | no | — |
| 157 | C23×C7 | — | 8 | 4 | no | — |
| 158 | C23×C7 | #120 | 1 | 1 | yes | characteristic |
| 159 | C7×Q8 | — | 4 | 2 | no | — |
| 160 | C7×Q8 | — | 8 | 2 | no | — |
| 161 | C7×D4 | — | 2 | 4 | no | — |
| 162 | C7×D4 | — | 2 | 4 | no | — |
| 163 | C7×D4 | — | 4 | 2 | no | — |
| 164 | C7×D4 | — | 4 | 2 | no | — |
| 165 | C7×D4 | — | 4 | 2 | no | — |
| 166 | C7×D4 | — | 4 | 4 | no | — |
| 167 | C7×D4 | — | 8 | 2 | no | — |
| 168 | C7×D4 | — | 8 | 2 | no | — |
| 169 | C7×D4 | — | 8 | 4 | no | — |
| 170 | C7×D4 | — | 8 | 8 | no | — |
| 171 | C7×D4 | — | 8 | 4 | no | — |
| 172 | C2×C4×C7 | — | 2 | 2 | no | — |
| 173 | C2×C4×C7 | — | 2 | 2 | no | — |
| 174 | C2×C4×C7 | — | 2 | 2 | no | — |
| 175 | C2×C4×C7 | — | 2 | 2 | no | — |
| 176 | C2×C4×C7 | — | 2 | 4 | no | — |
| 177 | C2×C4×C7 | — | 4 | 4 | no | — |
| 178 | C2×C4×C7 | — | 4 | 4 | no | — |
| 179 | C2×C4×C7 | — | 4 | 4 | no | — |
| 180 | C2×C4×C7 | #120 | 1 | 2 | yes | — |
| 181 | C2×C4×C7 | #120 | 1 | 1 | yes | characteristic |
| 182 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 183 | C2×C4×C7 | C22×D4 | 1 | 2 | yes | — |
| 184 | C2×Dic7 | — | 4 | 2 | no | — |
| 185 | Dic14 | — | 4 | 2 | no | — |
| 186 | Dic14 | — | 4 | 2 | no | — |
| 187 | C7⋊C8 | — | 4 | 2 | no | — |
| 188 | C7⋊C8 | — | 4 | 4 | no | — |
| 189 | C2×#41 | — | 2 | 2 | no | — |
| 190 | C2×#41 | C22⋊D7 | 1 | 2 | yes | — |
| 191 | C22×D4 | — | 2 | 2 | no | — |
| 192 | C22×D4 | — | 2 | 4 | no | — |
| 193 | C2×SD16 | — | 14 | 4 | no | — |
| 194 | C2×M16 | — | 14 | 2 | no | — |
| 195 | C22×C8 | — | 14 | 1 | no | — |
| 196 | C4⋊Q8 | — | 7 | 2 | no | — |
| 197 | C4⋊Q8 | C22⋊D7 | 1 | 2 | yes | — |
| 198 | C4⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 199 | #127 | — | 2 | 4 | no | — |
| 200 | #127 | C22⋊D7 | 1 | 2 | yes | — |
| 201 | #127 | C22×D7 | 1 | 1 | yes | characteristic |
| 202 | #125 | — | 14 | 1 | no | — |
| 203 | #124 | — | 2 | 8 | no | — |
| 204 | #124 | — | 2 | 4 | no | — |
| 205 | #124 | — | 2 | 2 | no | — |
| 206 | #124 | C22⋊D7 | 1 | 2 | yes | — |
| 207 | C22⋊Q8 | — | 14 | 2 | no | — |
| 208 | #121 | — | 2 | 4 | no | — |
| 209 | #121 | — | 2 | 4 | no | — |
| 210 | #121 | — | 2 | 2 | no | — |
| 211 | #121 | — | 2 | 2 | no | — |
| 212 | #121 | — | 2 | 4 | no | — |
| 213 | #121 | C22⋊D7 | 1 | 4 | yes | — |
| 214 | #120 | — | 2 | 4 | no | — |
| 215 | #120 | — | 2 | 8 | no | — |
| 216 | #120 | — | 2 | 4 | no | — |
| 217 | C4×Q8 | — | 14 | 2 | no | — |
| 218 | C4×D4 | — | 2 | 2 | no | — |
| 219 | C4×D4 | — | 2 | 2 | no | — |
| 220 | C4×D4 | C22×D7 | 1 | 4 | yes | — |
| 221 | #117 | — | 2 | 2 | no | — |
| 222 | #117 | — | 2 | 4 | no | — |
| 223 | #117 | — | 14 | 1 | no | — |
| 224 | C2×C42 | C22×D7 | 1 | 1 | yes | characteristic |
| 225 | #107 | — | 14 | 4 | no | — |
| 226 | C4⋊C8 | — | 7 | 4 | no | — |
| 227 | C4⋊C8 | — | 14 | 2 | no | — |
| 228 | #103 | — | 14 | 4 | no | — |
| 229 | #103 | — | 14 | 4 | no | — |
| 230 | #102 | — | 14 | 4 | no | — |
| 231 | #102 | — | 14 | 4 | no | — |
| 232 | C4×C8 | — | 7 | 2 | no | — |
| 233 | C4×C8 | — | 14 | 1 | no | — |
| 234 | C22×C7 | — | 2 | 2 | no | — |
| 235 | C22×C7 | — | 2 | 1 | no | — |
| 236 | C22×C7 | — | 4 | 4 | no | — |
| 237 | C22×C7 | — | 4 | 4 | no | — |
| 238 | C22×C7 | — | 4 | 4 | no | — |
| 239 | C22×C7 | — | 4 | 2 | no | — |
| 240 | C22×C7 | — | 4 | 4 | no | — |
| 241 | C22×C7 | — | 16 | 8 | no | — |
| 242 | C22×C7 | C2×#120 | 1 | 1 | yes | characteristic |
| 243 | C4×C7 | — | 2 | 2 | no | — |
| 244 | C4×C7 | — | 2 | 1 | no | — |
| 245 | C4×C7 | — | 4 | 4 | no | — |
| 246 | C4×C7 | — | 4 | 2 | no | — |
| 247 | C4×C7 | #455 | 1 | 2 | yes | — |
| 248 | C4×C7 | #576 | 1 | 2 | yes | — |
| 249 | C4×C7 | #577 | 1 | 2 | yes | — |
| 250 | Dic7 | — | 8 | 2 | no | — |
| 251 | C24 | — | 2 | 4 | no | — |
| 252 | #41 | — | 4 | 4 | no | — |
| 253 | #41 | — | 8 | 2 | no | — |
| 254 | #41 | — | 8 | 2 | no | — |
| 255 | C2×Q8 | — | 2 | 2 | no | — |
| 256 | C2×Q8 | — | 14 | 2 | no | — |
| 257 | C2×Q8 | C2×C22⋊D7 | 1 | 2 | yes | — |
| 258 | C2×D4 | — | 2 | 4 | no | — |
| 259 | C2×D4 | — | 2 | 8 | no | — |
| 260 | C2×D4 | — | 2 | 2 | no | — |
| 261 | C2×D4 | — | 2 | 4 | no | — |
| 262 | C2×D4 | — | 2 | 2 | no | — |
| 263 | C2×D4 | — | 2 | 2 | no | — |
| 264 | C2×D4 | — | 2 | 2 | no | — |
| 265 | C2×D4 | — | 8 | 4 | no | — |
| 266 | C2×D4 | — | 8 | 4 | no | — |
| 267 | C2×D4 | — | 8 | 4 | no | — |
| 268 | C2×D4 | C2×C22⋊D7 | 1 | 4 | yes | — |
| 269 | C2×D4 | C2×C22⋊D7 | 1 | 2 | yes | — |
| 270 | C22×C4 | — | 2 | 2 | no | — |
| 271 | C22×C4 | — | 2 | 4 | no | — |
| 272 | C22×C4 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 273 | C22×C4 | C2×C22⋊D7 | 1 | 2 | yes | — |
| 274 | SD16 | — | 56 | 4 | no | — |
| 275 | M16 | — | 56 | 2 | no | — |
| 276 | C2×C8 | — | 14 | 2 | no | — |
| 277 | C2×C8 | — | 14 | 4 | no | — |
| 278 | C2×C8 | — | 28 | 2 | no | — |
| 279 | C4⋊C4 | — | 2 | 2 | no | — |
| 280 | C4⋊C4 | — | 2 | 2 | no | — |
| 281 | C4⋊C4 | — | 14 | 2 | no | — |
| 282 | C4⋊C4 | — | 14 | 2 | no | — |
| 283 | C4⋊C4 | — | 28 | 2 | no | — |
| 284 | C4⋊C4 | C2×C22⋊D7 | 1 | 4 | yes | — |
| 285 | C22⋊C4 | — | 2 | 8 | no | — |
| 286 | C22⋊C4 | — | 2 | 4 | no | — |
| 287 | C22⋊C4 | — | 2 | 4 | no | — |
| 288 | C22⋊C4 | — | 2 | 4 | no | — |
| 289 | C22⋊C4 | — | 2 | 4 | no | — |
| 290 | C22⋊C4 | — | 28 | 1 | no | — |
| 291 | C42 | — | 2 | 4 | no | — |
| 292 | C42 | — | 28 | 1 | no | — |
| 293 | C42 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 294 | C42 | C2×C22⋊D7 | 1 | 2 | yes | — |
| 295 | C42 | C23×D7 | 1 | 1 | yes | characteristic |
| 296 | C2×C7 | — | 4 | 1 | no | — |
| 297 | C2×C7 | — | 8 | 4 | no | — |
| 298 | C2×C7 | — | 8 | 2 | no | — |
| 299 | C2×C7 | #3012 | 1 | 2 | yes | — |
| 300 | C2×C7 | C2×#455 | 1 | 1 | yes | characteristic |
| 301 | C23 | — | 2 | 4 | no | — |
| 302 | C23 | — | 2 | 2 | no | — |
| 303 | C23 | — | 8 | 8 | no | — |
| 304 | C23 | — | 8 | 4 | no | — |
| 305 | C23 | #6516 | 1 | 1 | yes | characteristic |
| 306 | Q8 | — | 4 | 2 | no | — |
| 307 | Q8 | — | 8 | 2 | no | — |
| 308 | Q8 | — | 28 | 2 | no | — |
| 309 | Q8 | — | 28 | 2 | no | — |
| 310 | D4 | — | 2 | 4 | no | — |
| 311 | D4 | — | 2 | 4 | no | — |
| 312 | D4 | — | 4 | 2 | no | — |
| 313 | D4 | — | 4 | 4 | no | — |
| 314 | D4 | — | 4 | 2 | no | — |
| 315 | D4 | — | 4 | 2 | no | — |
| 316 | D4 | — | 8 | 2 | no | — |
| 317 | D4 | — | 8 | 2 | no | — |
| 318 | D4 | — | 8 | 4 | no | — |
| 319 | D4 | — | 8 | 8 | no | — |
| 320 | D4 | — | 8 | 4 | no | — |
| 321 | C2×C4 | — | 2 | 2 | no | — |
| 322 | C2×C4 | — | 2 | 2 | no | — |
| 323 | C2×C4 | — | 2 | 2 | no | — |
| 324 | C2×C4 | — | 2 | 2 | no | — |
| 325 | C2×C4 | — | 2 | 4 | no | — |
| 326 | C2×C4 | — | 4 | 4 | no | — |
| 327 | C2×C4 | — | 4 | 4 | no | — |
| 328 | C2×C4 | — | 4 | 4 | no | — |
| 329 | C2×C4 | — | 28 | 2 | no | — |
| 330 | C2×C4 | #6516 | 1 | 2 | yes | — |
| 331 | C2×C4 | #6516 | 1 | 1 | yes | characteristic |
| 332 | C2×C4 | C22×C22⋊D7 | 1 | 1 | yes | characteristic |
| 333 | C2×C4 | C22×C22⋊D7 | 1 | 2 | yes | — |
| 334 | C8 | — | 28 | 2 | no | — |
| 335 | C8 | — | 28 | 4 | no | — |
| 336 | C7 | #18691 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 337 | C22 | — | 2 | 2 | no | — |
| 338 | C22 | — | 2 | 1 | no | — |
| 339 | C22 | — | 4 | 4 | no | — |
| 340 | C22 | — | 4 | 4 | no | — |
| 341 | C22 | — | 4 | 4 | no | — |
| 342 | C22 | — | 4 | 2 | no | — |
| 343 | C22 | — | 4 | 4 | no | — |
| 344 | C22 | — | 16 | 8 | no | — |
| 345 | C22 | C2×#6516 | 1 | 1 | yes | characteristic |
| 346 | C4 | — | 2 | 2 | no | — |
| 347 | C4 | — | 2 | 1 | no | — |
| 348 | C4 | — | 4 | 4 | no | — |
| 349 | C4 | — | 4 | 2 | no | — |
| 350 | C4 | — | 56 | 2 | no | — |
| 351 | C4 | #90014 | 1 | 2 | yes | — |
| 352 | C4 | #90526 | 1 | 2 | yes | — |
| 353 | C4 | #90527 | 1 | 2 | yes | — |
| 354 | C2 | — | 4 | 1 | no | — |
| 355 | C2 | — | 8 | 4 | no | — |
| 356 | C2 | — | 8 | 2 | no | — |
| 357 | C2 | #11741547 | 1 | 2 | yes | — |
| 358 | C2 | C2×#90014 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #11740766 | C2 | semidirect |
| 3. #11740726 | C2 | semidirect |
| 4. #11729683 | C2 | semidirect |
| 5. #11729662 | C2 | semidirect |
| 6. #11729564 | C2 | semidirect |
| 7. #11729556 | C2 | semidirect |
| 17. #90161 | C22 | semidirect |
| 20. #89853 | C22 | semidirect |
| 25. #89791 | C22 | semidirect |
| 26. #89779 | C22 | semidirect |
| 27. #89696 | C22 | semidirect |
| 28. C2×C4×C7⋊C8 | C22 | semidirect |
| 29. #89341 | C22 | semidirect |
| 31. D4⋊(C7⋊C8) | C22 | semidirect |
| 336. C7 | #18691 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C7×#3549 | 2 |
| #11740766 | 2 |
| #11740726 | 2 |
| #11729683 | 2 |
| #11729662 | 2 |
| #11729564 | 2 |
| #11729556 | 2 |
| #18691 | 7 |