Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
456 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 55 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 | #19142679 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #19135843 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #19133513 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #19132616 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #19132593 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #19132544 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C43×#1601 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #14583032 | — | 2 | 1 | no | — |
| 9 | C2×#13063240 | — | 2 | 1 | no | — |
| 10 | #14582841 | — | 2 | 1 | no | — |
| 11 | #14582826 | — | 2 | 1 | no | — |
| 12 | #14582817 | — | 2 | 1 | no | — |
| 13 | #14582815 | — | 2 | 1 | no | — |
| 14 | #14582810 | — | 2 | 1 | no | — |
| 15 | #14582808 | C22 | 1 | 1 | yes | characteristic |
| 16 | #14582779 | — | 2 | 1 | no | — |
| 17 | #14582776 | — | 2 | 1 | no | — |
| 18 | #14582771 | C22 | 1 | 1 | yes | characteristic |
| 19 | #14582666 | C22 | 1 | 1 | yes | characteristic |
| 20 | #14582633 | — | 2 | 1 | no | — |
| 21 | #14582623 | C22 | 1 | 1 | yes | characteristic |
| 22 | C43×#534 | C22 | 1 | 1 | yes | characteristic |
| 23 | C43×#448 | — | 2 | 1 | no | — |
| 24 | C43×#393 | C22 | 1 | 1 | yes | characteristic |
| 25 | C43×#327 | — | 2 | 1 | no | — |
| 26 | C43×#323 | C22 | 1 | 1 | yes | characteristic |
| 27 | C22×D172 | D4 | 1 | 1 | yes | characteristic |
| 28 | C22×C22⋊D43 | — | 2 | 1 | no | — |
| 29 | C23×Dic43 | D4 | 1 | 1 | yes | characteristic |
| 30 | C2×#10621882 | — | 4 | 1 | no | — |
| 31 | C2×C4⋊Dic43 | — | 2 | 1 | no | — |
| 32 | C2×Dic43⋊C4 | — | 2 | 1 | no | — |
| 33 | C2×C22⋊Dic43 | — | 2 | 1 | no | — |
| 34 | C2×C22⋊Dic43 | — | 4 | 1 | no | — |
| 35 | C2×C22⋊Dic43 | D4 | 1 | 1 | yes | characteristic |
| 36 | C2×(C2×D43)⋊C4 | — | 2 | 1 | no | — |
| 37 | C2×(C2×D43)⋊C4 | — | 2 | 1 | no | — |
| 38 | C2×(C2×D43)⋊C4 | — | 2 | 1 | no | — |
| 39 | C2×(C2×D43)⋊C4 | — | 2 | 1 | no | — |
| 40 | C2×(C2×D43)⋊C4 | — | 2 | 1 | no | — |
| 41 | #13063245 | — | 4 | 1 | no | — |
| 42 | #13063240 | — | 4 | 2 | no | — |
| 43 | C22⋊(C43⋊C8) | — | 2 | 1 | no | — |
| 44 | C43⋊#95 | — | 2 | 1 | no | — |
| 45 | C43⋊#95 | — | 2 | 1 | no | — |
| 46 | C43⋊#95 | — | 2 | 1 | no | — |
| 47 | C43⋊#95 | — | 2 | 1 | no | — |
| 48 | C43⋊#95 | — | 4 | 1 | no | — |
| 49 | C43⋊#95 | D4 | 1 | 1 | yes | characteristic |
| 50 | C22×Q8×C43 | D4 | 1 | 1 | yes | characteristic |
| 51 | C22×D4×C43 | — | 2 | 1 | no | — |
| 52 | C2×SD16×C43 | — | 4 | 1 | no | — |
| 53 | #123×C43 | — | 4 | 1 | no | — |
| 54 | #121×C43 | — | 2 | 1 | no | — |
| 55 | #121×C43 | — | 2 | 1 | no | — |
| 56 | #120×C43 | — | 4 | 1 | no | — |
| 57 | C2×C22⋊C4×C43 | — | 2 | 1 | no | — |
| 58 | C2×C22⋊C4×C43 | C23 | 1 | 1 | yes | characteristic |
| 59 | #103×C43 | — | 4 | 1 | no | — |
| 60 | C22⋊C8×C43 | — | 2 | 1 | no | — |
| 61 | #95×C43 | — | 2 | 1 | no | — |
| 62 | #95×C43 | D4 | 1 | 1 | yes | characteristic |
| 63 | C24×C43 | — | 2 | 1 | no | — |
| 64 | C24×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 65 | C23×D43 | — | 2 | 1 | no | — |
| 66 | C2×Q8×C43 | — | 4 | 1 | no | — |
| 67 | C2×Q8×C43 | — | 8 | 1 | no | — |
| 68 | C2×D4×C43 | — | 2 | 1 | no | — |
| 69 | C2×D4×C43 | — | 2 | 1 | no | — |
| 70 | C2×D4×C43 | — | 4 | 1 | no | — |
| 71 | C2×D4×C43 | — | 4 | 1 | no | — |
| 72 | C2×D4×C43 | — | 4 | 1 | no | — |
| 73 | C2×D4×C43 | — | 4 | 1 | no | — |
| 74 | C2×D4×C43 | — | 4 | 1 | no | — |
| 75 | C2×D4×C43 | — | 4 | 1 | no | — |
| 76 | C22×C4×C43 | — | 2 | 1 | no | — |
| 77 | C22×C4×C43 | — | 2 | 1 | no | — |
| 78 | C22×C4×C43 | — | 2 | 1 | no | — |
| 79 | C22×C4×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 80 | C22×C4×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 81 | C2×C22⋊D43 | — | 4 | 1 | no | — |
| 82 | C2×C22⋊D43 | — | 4 | 1 | no | — |
| 83 | C2×C22⋊D43 | — | 8 | 1 | no | — |
| 84 | C2×C22⋊D43 | — | 8 | 1 | no | — |
| 85 | C22×Dic43 | — | 2 | 1 | no | — |
| 86 | C22×Dic43 | — | 2 | 1 | no | — |
| 87 | C22×Dic43 | — | 2 | 1 | no | — |
| 88 | C22×Dic43 | — | 4 | 1 | no | — |
| 89 | C22×Dic43 | — | 4 | 1 | no | — |
| 90 | C22×Dic43 | — | 8 | 1 | no | — |
| 91 | C2×D172 | — | 4 | 1 | no | — |
| 92 | C2×D172 | — | 8 | 1 | no | — |
| 93 | SD16×C43 | — | 8 | 2 | no | — |
| 94 | C2×C8×C43 | — | 4 | 1 | no | — |
| 95 | C4⋊C4×C43 | — | 2 | 1 | no | — |
| 96 | C4⋊C4×C43 | — | 2 | 1 | no | — |
| 97 | C22⋊C4×C43 | — | 4 | 1 | no | — |
| 98 | C22⋊C4×C43 | — | 4 | 1 | no | — |
| 99 | C22⋊C4×C43 | — | 4 | 1 | no | — |
| 100 | C22⋊C4×C43 | — | 8 | 1 | no | — |
| 101 | C22⋊Dic43 | — | 2 | 1 | no | — |
| 102 | C22⋊Dic43 | — | 2 | 1 | no | — |
| 103 | C22⋊Dic43 | — | 4 | 1 | no | — |
| 104 | C22⋊Dic43 | — | 4 | 1 | no | — |
| 105 | C22⋊Dic43 | — | 8 | 2 | no | — |
| 106 | #10621882 | — | 8 | 2 | no | — |
| 107 | (C2×D43)⋊C4 | — | 8 | 1 | no | — |
| 108 | (C2×D43)⋊C4 | — | 8 | 1 | no | — |
| 109 | (C2×D43)⋊C4 | — | 8 | 1 | no | — |
| 110 | (C2×D43)⋊C4 | — | 8 | 1 | no | — |
| 111 | (C2×D43)⋊C4 | — | 8 | 1 | no | — |
| 112 | C4⋊Dic43 | — | 8 | 1 | no | — |
| 113 | Dic43⋊C4 | — | 8 | 1 | no | — |
| 114 | C2×C43⋊C8 | — | 4 | 1 | no | — |
| 115 | C23×C43 | — | 2 | 1 | no | — |
| 116 | C23×C43 | — | 2 | 1 | no | — |
| 117 | C23×C43 | — | 4 | 1 | no | — |
| 118 | C23×C43 | — | 4 | 1 | no | — |
| 119 | C23×C43 | — | 4 | 1 | no | — |
| 120 | C23×C43 | — | 4 | 1 | no | — |
| 121 | C23×C43 | — | 4 | 1 | no | — |
| 122 | C23×C43 | — | 8 | 1 | no | — |
| 123 | C23×C43 | — | 8 | 1 | no | — |
| 124 | C23×C43 | #120 | 1 | 1 | yes | characteristic |
| 125 | C23×C43 | #135 | 1 | 1 | yes | characteristic |
| 126 | C23×C43 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 127 | C22×D43 | — | 4 | 1 | no | — |
| 128 | C22×D43 | — | 4 | 1 | no | — |
| 129 | C22×D43 | — | 4 | 1 | no | — |
| 130 | C22×D43 | — | 4 | 1 | no | — |
| 131 | C22×D43 | — | 4 | 1 | no | — |
| 132 | C22×D43 | — | 4 | 1 | no | — |
| 133 | C22×D43 | — | 4 | 1 | no | — |
| 134 | Q8×C43 | — | 4 | 2 | no | — |
| 135 | Q8×C43 | — | 8 | 1 | no | — |
| 136 | D4×C43 | — | 8 | 1 | no | — |
| 137 | D4×C43 | — | 8 | 1 | no | — |
| 138 | D4×C43 | — | 8 | 1 | no | — |
| 139 | D4×C43 | — | 8 | 1 | no | — |
| 140 | D4×C43 | — | 8 | 1 | no | — |
| 141 | D4×C43 | — | 8 | 1 | no | — |
| 142 | C2×C4×C43 | — | 2 | 1 | no | — |
| 143 | C2×C4×C43 | — | 2 | 1 | no | — |
| 144 | C2×C4×C43 | — | 4 | 1 | no | — |
| 145 | C2×C4×C43 | — | 4 | 1 | no | — |
| 146 | C2×C4×C43 | — | 4 | 1 | no | — |
| 147 | C2×C4×C43 | — | 4 | 1 | no | — |
| 148 | C2×C4×C43 | — | 4 | 1 | no | — |
| 149 | C2×C4×C43 | — | 4 | 1 | no | — |
| 150 | C2×C4×C43 | — | 4 | 1 | no | — |
| 151 | C2×C4×C43 | — | 4 | 1 | no | — |
| 152 | C2×C4×C43 | — | 4 | 1 | no | — |
| 153 | C2×C4×C43 | — | 4 | 1 | no | — |
| 154 | C2×C4×C43 | — | 4 | 1 | no | — |
| 155 | C22⋊D43 | — | 8 | 2 | no | — |
| 156 | C22⋊D43 | — | 8 | 2 | no | — |
| 157 | C2×Dic43 | — | 4 | 1 | no | — |
| 158 | C2×Dic43 | — | 4 | 1 | no | — |
| 159 | C2×Dic43 | — | 4 | 1 | no | — |
| 160 | C2×Dic43 | — | 4 | 1 | no | — |
| 161 | C2×Dic43 | — | 4 | 1 | no | — |
| 162 | C2×Dic43 | — | 4 | 1 | no | — |
| 163 | C2×Dic43 | — | 4 | 2 | no | — |
| 164 | C2×Dic43 | — | 4 | 1 | no | — |
| 165 | C2×Dic43 | — | 4 | 1 | no | — |
| 166 | C2×Dic43 | — | 4 | 1 | no | — |
| 167 | C2×Dic43 | — | 8 | 1 | no | — |
| 168 | C2×Dic43 | — | 8 | 1 | no | — |
| 169 | C2×Dic43 | — | 8 | 1 | no | — |
| 170 | C2×Dic43 | — | 8 | 1 | no | — |
| 171 | D172 | — | 4 | 2 | no | — |
| 172 | D172 | — | 8 | 1 | no | — |
| 173 | C8×C43 | — | 8 | 1 | no | — |
| 174 | C43⋊C8 | — | 8 | 1 | no | — |
| 175 | #12136 | — | 43 | 1 | no | maximal, Sylow |
| 176 | C22×C43 | — | 2 | 1 | no | — |
| 177 | C22×C43 | — | 2 | 1 | no | — |
| 178 | C22×C43 | — | 2 | 1 | no | — |
| 179 | C22×C43 | — | 2 | 1 | no | — |
| 180 | C22×C43 | — | 4 | 1 | no | — |
| 181 | C22×C43 | — | 4 | 1 | no | — |
| 182 | C22×C43 | — | 4 | 1 | no | — |
| 183 | C22×C43 | — | 4 | 1 | no | — |
| 184 | C22×C43 | — | 8 | 1 | no | — |
| 185 | C22×C43 | — | 8 | 2 | no | — |
| 186 | C22×C43 | — | 8 | 1 | no | — |
| 187 | C22×C43 | — | 8 | 1 | no | — |
| 188 | C22×C43 | — | 8 | 1 | no | — |
| 189 | C22×C43 | — | 16 | 1 | no | — |
| 190 | C22×C43 | #449 | 1 | 1 | yes | characteristic |
| 191 | C22×C43 | #454 | 1 | 1 | yes | characteristic |
| 192 | C22×C43 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 193 | C2×D43 | — | 8 | 1 | no | — |
| 194 | C2×D43 | — | 8 | 1 | no | — |
| 195 | C2×D43 | — | 8 | 1 | no | — |
| 196 | C2×D43 | — | 8 | 1 | no | — |
| 197 | C2×D43 | — | 8 | 1 | no | — |
| 198 | C2×D43 | — | 8 | 1 | no | — |
| 199 | C2×D43 | — | 8 | 1 | no | — |
| 200 | C4×C43 | — | 4 | 1 | no | — |
| 201 | C4×C43 | — | 4 | 1 | no | — |
| 202 | C4×C43 | — | 8 | 1 | no | — |
| 203 | C4×C43 | — | 8 | 1 | no | — |
| 204 | C4×C43 | — | 8 | 1 | no | — |
| 205 | Dic43 | — | 8 | 1 | no | — |
| 206 | Dic43 | — | 8 | 1 | no | — |
| 207 | Dic43 | — | 8 | 1 | no | — |
| 208 | Dic43 | — | 16 | 1 | no | — |
| 209 | #2824 | — | 43 | 1 | no | — |
| 210 | #2044 | — | 43 | 1 | no | — |
| 211 | #1601 | D43 | 1 | 1 | yes | characteristic, complemented |
| 212 | #1595 | — | 43 | 1 | no | — |
| 213 | #1351 | — | 43 | 1 | no | — |
| 214 | #1343 | — | 43 | 1 | no | — |
| 215 | #1326 | — | 43 | 1 | no | — |
| 216 | C2×C43 | — | 2 | 1 | no | — |
| 217 | C2×C43 | — | 2 | 1 | no | — |
| 218 | C2×C43 | — | 4 | 1 | no | — |
| 219 | C2×C43 | — | 4 | 1 | no | — |
| 220 | C2×C43 | — | 16 | 1 | no | — |
| 221 | C2×C43 | #1597 | 1 | 1 | yes | characteristic |
| 222 | C2×C43 | #2199 | 1 | 1 | yes | characteristic |
| 223 | C2×C43 | #2200 | 1 | 1 | yes | characteristic |
| 224 | D43 | — | 16 | 1 | no | — |
| 225 | #534 | C2×D43 | 1 | 1 | yes | characteristic |
| 226 | #448 | — | 2 | 1 | no | — |
| 227 | #447 | — | 86 | 1 | no | — |
| 228 | C2×#99 | — | 86 | 1 | no | — |
| 229 | #400 | — | 86 | 1 | no | — |
| 230 | #397 | — | 86 | 1 | no | — |
| 231 | #394 | — | 86 | 1 | no | — |
| 232 | #394 | — | 86 | 1 | no | — |
| 233 | #393 | — | 86 | 1 | no | — |
| 234 | #393 | C2×D43 | 1 | 1 | yes | characteristic |
| 235 | #392 | — | 43 | 1 | no | — |
| 236 | #386 | — | 86 | 1 | no | — |
| 237 | #386 | — | 86 | 1 | no | — |
| 238 | #385 | — | 43 | 1 | no | — |
| 239 | #342 | — | 43 | 1 | no | — |
| 240 | #327 | — | 2 | 1 | no | — |
| 241 | #327 | — | 86 | 1 | no | — |
| 242 | #323 | — | 43 | 1 | no | — |
| 243 | #323 | C2×D43 | 1 | 1 | yes | characteristic |
| 244 | C43 | #12136 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 245 | C22×Q8 | C22⋊D43 | 1 | 1 | yes | characteristic |
| 246 | C22×D4 | — | 2 | 1 | no | — |
| 247 | C22×D4 | — | 43 | 1 | no | — |
| 248 | C22×D4 | — | 86 | 1 | no | — |
| 249 | C23×C4 | — | 43 | 1 | no | — |
| 250 | C2×SD16 | — | 4 | 1 | no | — |
| 251 | C2×D8 | — | 172 | 1 | no | — |
| 252 | #123 | — | 4 | 1 | no | — |
| 253 | #121 | — | 2 | 1 | no | — |
| 254 | #121 | — | 2 | 1 | no | — |
| 255 | #120 | — | 4 | 1 | no | — |
| 256 | C2×C4⋊C4 | — | 86 | 1 | no | — |
| 257 | C2×C4⋊C4 | — | 86 | 1 | no | — |
| 258 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 259 | C2×C22⋊C4 | — | 43 | 1 | no | — |
| 260 | C2×C22⋊C4 | — | 86 | 1 | no | — |
| 261 | C2×C22⋊C4 | — | 86 | 1 | no | — |
| 262 | C2×C22⋊C4 | — | 86 | 1 | no | — |
| 263 | C2×C22⋊C4 | — | 86 | 1 | no | — |
| 264 | C2×C22⋊C4 | — | 86 | 1 | no | — |
| 265 | C2×C22⋊C4 | — | 86 | 1 | no | — |
| 266 | C2×C22⋊C4 | — | 172 | 1 | no | — |
| 267 | C2×C22⋊C4 | C22×D43 | 1 | 1 | yes | characteristic |
| 268 | #103 | — | 4 | 1 | no | — |
| 269 | #102 | — | 172 | 1 | no | — |
| 270 | #99 | — | 172 | 2 | no | — |
| 271 | C22⋊C8 | — | 2 | 1 | no | — |
| 272 | C22⋊C8 | — | 86 | 1 | no | — |
| 273 | #95 | — | 2 | 1 | no | — |
| 274 | #95 | — | 43 | 1 | no | — |
| 275 | #95 | — | 86 | 1 | no | — |
| 276 | #95 | — | 86 | 1 | no | — |
| 277 | #95 | — | 86 | 1 | no | — |
| 278 | #95 | — | 86 | 1 | no | — |
| 279 | #95 | — | 172 | 1 | no | — |
| 280 | #95 | C22⋊D43 | 1 | 1 | yes | characteristic |
| 281 | C24 | — | 2 | 1 | no | — |
| 282 | C24 | — | 86 | 1 | no | — |
| 283 | C24 | D4×D43 | 1 | 1 | yes | characteristic |
| 284 | C2×Q8 | — | 4 | 1 | no | — |
| 285 | C2×Q8 | — | 8 | 1 | no | — |
| 286 | C2×D4 | — | 2 | 1 | no | — |
| 287 | C2×D4 | — | 2 | 1 | no | — |
| 288 | C2×D4 | — | 4 | 1 | no | — |
| 289 | C2×D4 | — | 4 | 1 | no | — |
| 290 | C2×D4 | — | 4 | 1 | no | — |
| 291 | C2×D4 | — | 4 | 1 | no | — |
| 292 | C2×D4 | — | 4 | 1 | no | — |
| 293 | C2×D4 | — | 4 | 1 | no | — |
| 294 | C2×D4 | — | 344 | 1 | no | — |
| 295 | C2×D4 | — | 344 | 1 | no | — |
| 296 | C2×D4 | — | 344 | 1 | no | — |
| 297 | C2×D4 | — | 172 | 1 | no | — |
| 298 | C2×D4 | — | 172 | 1 | no | — |
| 299 | C2×D4 | — | 172 | 1 | no | — |
| 300 | C22×C4 | — | 2 | 1 | no | — |
| 301 | C22×C4 | — | 2 | 1 | no | — |
| 302 | C22×C4 | — | 2 | 1 | no | — |
| 303 | C22×C4 | — | 86 | 1 | no | — |
| 304 | C22×C4 | — | 86 | 1 | no | — |
| 305 | C22×C4 | — | 86 | 1 | no | — |
| 306 | C22×C4 | — | 344 | 1 | no | — |
| 307 | C22×C4 | — | 172 | 1 | no | — |
| 308 | C22×C4 | — | 172 | 1 | no | — |
| 309 | C22×C4 | D4×D43 | 1 | 1 | yes | characteristic |
| 310 | C22×C4 | C2×C22⋊D43 | 1 | 1 | yes | characteristic |
| 311 | SD16 | — | 8 | 2 | no | — |
| 312 | D8 | — | 344 | 2 | no | — |
| 313 | C2×C8 | — | 4 | 1 | no | — |
| 314 | C2×C8 | — | 172 | 1 | no | — |
| 315 | C4⋊C4 | — | 2 | 1 | no | — |
| 316 | C4⋊C4 | — | 2 | 1 | no | — |
| 317 | C4⋊C4 | — | 344 | 1 | no | — |
| 318 | C4⋊C4 | — | 344 | 1 | no | — |
| 319 | C22⋊C4 | — | 4 | 1 | no | — |
| 320 | C22⋊C4 | — | 4 | 1 | no | — |
| 321 | C22⋊C4 | — | 4 | 1 | no | — |
| 322 | C22⋊C4 | — | 8 | 1 | no | — |
| 323 | C22⋊C4 | — | 86 | 1 | no | — |
| 324 | C22⋊C4 | — | 86 | 1 | no | — |
| 325 | C22⋊C4 | — | 344 | 1 | no | — |
| 326 | C22⋊C4 | — | 344 | 1 | no | — |
| 327 | C22⋊C4 | — | 344 | 1 | no | — |
| 328 | C22⋊C4 | — | 344 | 1 | no | — |
| 329 | C22⋊C4 | — | 344 | 1 | no | — |
| 330 | C22⋊C4 | — | 344 | 2 | no | — |
| 331 | C22⋊C4 | — | 172 | 1 | no | — |
| 332 | C22⋊C4 | — | 172 | 1 | no | — |
| 333 | C23 | — | 2 | 1 | no | — |
| 334 | C23 | — | 2 | 1 | no | — |
| 335 | C23 | — | 4 | 1 | no | — |
| 336 | C23 | — | 4 | 1 | no | — |
| 337 | C23 | — | 4 | 1 | no | — |
| 338 | C23 | — | 4 | 1 | no | — |
| 339 | C23 | — | 4 | 1 | no | — |
| 340 | C23 | — | 8 | 1 | no | — |
| 341 | C23 | — | 8 | 1 | no | — |
| 342 | C23 | — | 172 | 1 | no | — |
| 343 | C23 | — | 172 | 1 | no | — |
| 344 | C23 | — | 172 | 1 | no | — |
| 345 | C23 | — | 172 | 1 | no | — |
| 346 | C23 | — | 172 | 1 | no | — |
| 347 | C23 | — | 172 | 1 | no | — |
| 348 | C23 | — | 172 | 1 | no | — |
| 349 | C23 | #13063293 | 1 | 1 | yes | characteristic |
| 350 | C23 | #13063346 | 1 | 1 | yes | characteristic |
| 351 | C23 | #13063352 | 1 | 1 | yes | characteristic |
| 352 | Q8 | — | 4 | 2 | no | — |
| 353 | Q8 | — | 8 | 1 | no | — |
| 354 | D4 | — | 8 | 1 | no | — |
| 355 | D4 | — | 8 | 1 | no | — |
| 356 | D4 | — | 8 | 1 | no | — |
| 357 | D4 | — | 8 | 1 | no | — |
| 358 | D4 | — | 8 | 1 | no | — |
| 359 | D4 | — | 8 | 1 | no | — |
| 360 | D4 | — | 344 | 1 | no | — |
| 361 | D4 | — | 344 | 2 | no | — |
| 362 | D4 | — | 344 | 2 | no | — |
| 363 | D4 | — | 172 | 2 | no | — |
| 364 | C2×C4 | — | 2 | 1 | no | — |
| 365 | C2×C4 | — | 2 | 1 | no | — |
| 366 | C2×C4 | — | 4 | 1 | no | — |
| 367 | C2×C4 | — | 4 | 1 | no | — |
| 368 | C2×C4 | — | 4 | 1 | no | — |
| 369 | C2×C4 | — | 4 | 1 | no | — |
| 370 | C2×C4 | — | 4 | 1 | no | — |
| 371 | C2×C4 | — | 4 | 1 | no | — |
| 372 | C2×C4 | — | 4 | 1 | no | — |
| 373 | C2×C4 | — | 4 | 1 | no | — |
| 374 | C2×C4 | — | 4 | 1 | no | — |
| 375 | C2×C4 | — | 4 | 1 | no | — |
| 376 | C2×C4 | — | 4 | 1 | no | — |
| 377 | C2×C4 | — | 344 | 1 | no | — |
| 378 | C2×C4 | — | 344 | 1 | no | — |
| 379 | C2×C4 | — | 344 | 1 | no | — |
| 380 | C2×C4 | — | 344 | 1 | no | — |
| 381 | C2×C4 | — | 172 | 1 | no | — |
| 382 | C2×C4 | — | 172 | 1 | no | — |
| 383 | C2×C4 | — | 172 | 1 | no | — |
| 384 | C2×C4 | — | 172 | 1 | no | — |
| 385 | C2×C4 | — | 172 | 1 | no | — |
| 386 | C2×C4 | — | 172 | 1 | no | — |
| 387 | C2×C4 | — | 172 | 2 | no | — |
| 388 | C2×C4 | — | 172 | 1 | no | — |
| 389 | C2×C4 | — | 172 | 1 | no | — |
| 390 | C2×C4 | — | 172 | 1 | no | — |
| 391 | C8 | — | 8 | 1 | no | — |
| 392 | C8 | — | 344 | 1 | no | — |
| 393 | C22 | — | 2 | 1 | no | — |
| 394 | C22 | — | 2 | 1 | no | — |
| 395 | C22 | — | 2 | 1 | no | — |
| 396 | C22 | — | 2 | 1 | no | — |
| 397 | C22 | — | 4 | 1 | no | — |
| 398 | C22 | — | 4 | 1 | no | — |
| 399 | C22 | — | 4 | 1 | no | — |
| 400 | C22 | — | 4 | 1 | no | — |
| 401 | C22 | — | 8 | 1 | no | — |
| 402 | C22 | — | 8 | 2 | no | — |
| 403 | C22 | — | 8 | 1 | no | — |
| 404 | C22 | — | 8 | 1 | no | — |
| 405 | C22 | — | 8 | 1 | no | — |
| 406 | C22 | — | 16 | 1 | no | — |
| 407 | C22 | — | 344 | 1 | no | — |
| 408 | C22 | — | 344 | 1 | no | — |
| 409 | C22 | — | 344 | 1 | no | — |
| 410 | C22 | — | 344 | 1 | no | — |
| 411 | C22 | — | 344 | 1 | no | — |
| 412 | C22 | — | 344 | 1 | no | — |
| 413 | C22 | — | 344 | 1 | no | — |
| 414 | C22 | #14583043 | 1 | 1 | yes | characteristic |
| 415 | C22 | #14583070 | 1 | 1 | yes | characteristic |
| 416 | C22 | #14583085 | 1 | 1 | yes | characteristic |
| 417 | C4 | — | 4 | 1 | no | — |
| 418 | C4 | — | 4 | 1 | no | — |
| 419 | C4 | — | 8 | 1 | no | — |
| 420 | C4 | — | 8 | 1 | no | — |
| 421 | C4 | — | 8 | 1 | no | — |
| 422 | C4 | — | 344 | 1 | no | — |
| 423 | C4 | — | 344 | 1 | no | — |
| 424 | C4 | — | 344 | 1 | no | — |
| 425 | C4 | — | 688 | 1 | no | — |
| 426 | C2 | — | 2 | 1 | no | — |
| 427 | C2 | — | 2 | 1 | no | — |
| 428 | C2 | — | 4 | 1 | no | — |
| 429 | C2 | — | 4 | 1 | no | — |
| 430 | C2 | — | 16 | 1 | no | — |
| 431 | C2 | — | 688 | 1 | no | — |
| 432 | C2 | #19133523 | 1 | 1 | yes | characteristic |
| 433 | C2 | #19136595 | 1 | 1 | yes | characteristic |
| 434 | C2 | #19136600 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #19142679 | C2 | semidirect |
| 2. #19135843 | C2 | semidirect |
| 4. #19132616 | C2 | semidirect |
| 5. #19132593 | C2 | semidirect |
| 6. #19132544 | C2 | semidirect |
| 7. C43×#1601 | C2 | semidirect |
| 211. #1601 | D43 | semidirect |
| 244. C43 | #12136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142679 | 2 |
| #19135843 | 2 |
| #19133513 | 2 |
| #19132616 | 2 |
| #19132593 | 2 |
| #19132544 | 2 |
| C43×#1601 | 2 |
| #12136 | 43 |