Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
420 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 43 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 | #19146363 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #19136596 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #19133884 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #19132753 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #19132746 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #19132742 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C43×#2202 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #14583707 | — | 2 | 1 | no | — |
| 9 | #14583703 | — | 2 | 1 | no | — |
| 10 | #14583289 | — | 2 | 1 | no | — |
| 11 | #14583289 | C22 | 1 | 1 | yes | characteristic |
| 12 | #14583167 | — | 2 | 1 | no | — |
| 13 | #14583165 | — | 2 | 1 | no | — |
| 14 | #14583085 | — | 2 | 1 | no | — |
| 15 | #14583076 | C22 | 1 | 1 | yes | characteristic |
| 16 | #14583068 | — | 2 | 1 | no | — |
| 17 | #14583018 | — | 2 | 1 | no | — |
| 18 | #14582694 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | #14582686 | — | 2 | 1 | no | — |
| 20 | #14582639 | — | 2 | 1 | no | — |
| 21 | #14582639 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C43×H(3,𝔽4) | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C43×#454 | — | 2 | 1 | no | — |
| 24 | C43×#454 | C22 | 1 | 1 | yes | characteristic |
| 25 | C43×#355 | — | 2 | 1 | no | — |
| 26 | C43×#355 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #13063371 | — | 2 | 1 | no | — |
| 28 | #13063370 | D4 | 1 | 1 | yes | characteristic |
| 29 | #13063356 | — | 2 | 1 | no | — |
| 30 | #13063356 | — | 4 | 1 | no | — |
| 31 | #13063353 | — | 2 | 1 | no | — |
| 32 | #13063352 | — | 4 | 1 | no | — |
| 33 | #13063350 | — | 2 | 1 | no | — |
| 34 | #13063350 | — | 4 | 1 | no | — |
| 35 | #13063349 | — | 4 | 1 | no | — |
| 36 | #13063346 | — | 4 | 1 | no | — |
| 37 | #13063345 | — | 2 | 1 | no | — |
| 38 | #13063345 | — | 4 | 1 | no | — |
| 39 | C2×#10621884 | — | 2 | 1 | no | — |
| 40 | C2×#10621884 | — | 4 | 1 | no | — |
| 41 | C2×#10621884 | — | 4 | 1 | no | — |
| 42 | C2×#10621882 | — | 2 | 1 | no | — |
| 43 | C2×#10621882 | — | 4 | 1 | no | — |
| 44 | D8×D43 | — | 4 | 1 | no | — |
| 45 | #13063333 | — | 2 | 1 | no | — |
| 46 | #13063332 | — | 2 | 1 | no | — |
| 47 | #13063322 | D4 | 1 | 1 | yes | characteristic, complemented |
| 48 | #13063294 | — | 4 | 1 | no | — |
| 49 | #13063260 | — | 2 | 1 | no | — |
| 50 | #13063253 | — | 2 | 1 | no | — |
| 51 | #13063242 | D4 | 1 | 1 | yes | characteristic |
| 52 | #13063241 | — | 2 | 1 | no | — |
| 53 | #13063240 | — | 2 | 1 | no | — |
| 54 | #13063239 | — | 4 | 1 | no | — |
| 55 | #13063236 | — | 2 | 1 | no | — |
| 56 | #13063236 | D4 | 1 | 1 | yes | characteristic, complemented |
| 57 | 2−1+4×C43 | D4 | 1 | 1 | yes | characteristic, complemented |
| 58 | AGL(1,ℤ/8)×C43 | — | 2 | 1 | no | — |
| 59 | AGL(1,ℤ/8)×C43 | — | 4 | 1 | no | — |
| 60 | #124×C43 | — | 2 | 1 | no | — |
| 61 | #124×C43 | — | 2 | 1 | no | — |
| 62 | #124×C43 | — | 4 | 1 | no | — |
| 63 | #124×C43 | C23 | 1 | 1 | yes | characteristic |
| 64 | #120×C43 | — | 2 | 1 | no | — |
| 65 | #120×C43 | — | 4 | 1 | no | — |
| 66 | #104×C43 | — | 2 | 1 | no | — |
| 67 | #104×C43 | — | 4 | 1 | no | — |
| 68 | #101×C43 | — | 2 | 1 | no | — |
| 69 | #101×C43 | D4 | 1 | 1 | yes | characteristic, complemented |
| 70 | C24×C43 | — | 2 | 1 | no | — |
| 71 | #41×C43 | — | 2 | 1 | no | — |
| 72 | #41×C43 | — | 4 | 1 | no | — |
| 73 | #41×C43 | — | 4 | 1 | no | — |
| 74 | C2×Q8×C43 | — | 2 | 1 | no | — |
| 75 | C2×Q8×C43 | — | 4 | 1 | no | — |
| 76 | C2×Q8×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 77 | C2×D4×C43 | — | 2 | 1 | no | — |
| 78 | C2×D4×C43 | — | 2 | 1 | no | — |
| 79 | C2×D4×C43 | — | 4 | 1 | no | — |
| 80 | C2×D4×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 81 | C2×C22⋊D43 | — | 4 | 1 | no | — |
| 82 | C2×C22⋊D43 | — | 8 | 1 | no | — |
| 83 | #10621902 | — | 4 | 1 | no | — |
| 84 | #10621900 | — | 4 | 1 | no | — |
| 85 | D4×D43 | — | 4 | 1 | no | — |
| 86 | D4×D43 | — | 4 | 1 | no | — |
| 87 | D4×D43 | — | 8 | 1 | no | — |
| 88 | #10621898 | — | 2 | 1 | no | — |
| 89 | #10621898 | — | 4 | 1 | no | — |
| 90 | C2×D172 | — | 2 | 1 | no | — |
| 91 | C2×D172 | — | 4 | 1 | no | — |
| 92 | C2×D172 | — | 4 | 1 | no | — |
| 93 | SD16×C43 | — | 4 | 1 | no | — |
| 94 | SD16×C43 | — | 8 | 1 | no | — |
| 95 | D8×C43 | — | 4 | 1 | no | — |
| 96 | D8×C43 | — | 8 | 1 | no | — |
| 97 | M16×C43 | — | 2 | 1 | no | — |
| 98 | M16×C43 | — | 4 | 1 | no | — |
| 99 | C22⋊C4×C43 | — | 2 | 1 | no | — |
| 100 | C22⋊C4×C43 | — | 4 | 1 | no | — |
| 101 | C22⋊C4×C43 | — | 4 | 1 | no | — |
| 102 | C22⋊C4×C43 | — | 4 | 1 | no | — |
| 103 | C22⋊C4×C43 | — | 4 | 1 | no | — |
| 104 | C42×C43 | — | 2 | 1 | no | — |
| 105 | C42×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 106 | C22⋊Dic43 | — | 4 | 1 | no | — |
| 107 | C22⋊Dic43 | — | 8 | 1 | no | — |
| 108 | #10621885 | — | 2 | 1 | no | — |
| 109 | #10621885 | — | 4 | 1 | no | — |
| 110 | #10621884 | — | 2 | 1 | no | — |
| 111 | #10621884 | — | 4 | 1 | no | — |
| 112 | #10621884 | — | 4 | 1 | no | — |
| 113 | #10621884 | — | 4 | 1 | no | — |
| 114 | #10621884 | — | 4 | 1 | no | — |
| 115 | #10621884 | — | 8 | 2 | no | — |
| 116 | #10621883 | — | 2 | 1 | no | — |
| 117 | #10621882 | — | 2 | 1 | no | — |
| 118 | #10621882 | — | 4 | 1 | no | — |
| 119 | #10621882 | — | 4 | 1 | no | — |
| 120 | #10621882 | — | 4 | 1 | no | — |
| 121 | #10621882 | — | 8 | 2 | no | — |
| 122 | #10621877 | — | 2 | 1 | no | — |
| 123 | #10621877 | — | 4 | 1 | no | — |
| 124 | C2×C43⋊C8 | — | 2 | 1 | no | — |
| 125 | C2×C43⋊C8 | — | 4 | 1 | no | — |
| 126 | C2×C43⋊C8 | — | 4 | 1 | no | — |
| 127 | D344 | — | 4 | 1 | no | — |
| 128 | #10621873 | — | 4 | 1 | no | — |
| 129 | #10621872 | — | 4 | 1 | no | — |
| 130 | C8×D43 | — | 4 | 1 | no | — |
| 131 | C23×C43 | — | 2 | 1 | no | — |
| 132 | C23×C43 | — | 4 | 1 | no | — |
| 133 | C23×C43 | — | 8 | 1 | no | — |
| 134 | C23×C43 | — | 16 | 1 | no | — |
| 135 | C22×D43 | — | 4 | 1 | no | — |
| 136 | C22×D43 | — | 4 | 1 | no | — |
| 137 | C22×D43 | — | 8 | 1 | no | — |
| 138 | Q8×C43 | — | 2 | 1 | no | — |
| 139 | Q8×C43 | — | 4 | 1 | no | — |
| 140 | Q8×C43 | — | 4 | 1 | no | — |
| 141 | Q8×C43 | — | 8 | 1 | no | — |
| 142 | D4×C43 | — | 2 | 1 | no | — |
| 143 | D4×C43 | — | 4 | 1 | no | — |
| 144 | D4×C43 | — | 4 | 1 | no | — |
| 145 | D4×C43 | — | 4 | 1 | no | — |
| 146 | D4×C43 | — | 8 | 1 | no | — |
| 147 | D4×C43 | — | 8 | 1 | no | — |
| 148 | D4×C43 | — | 16 | 1 | no | — |
| 149 | C2×C4×C43 | — | 2 | 1 | no | — |
| 150 | C2×C4×C43 | — | 2 | 1 | no | — |
| 151 | C2×C4×C43 | — | 4 | 1 | no | — |
| 152 | C2×C4×C43 | — | 4 | 1 | no | — |
| 153 | C2×C4×C43 | — | 8 | 1 | no | — |
| 154 | C2×C4×C43 | #120 | 1 | 1 | yes | characteristic |
| 155 | C22⋊D43 | — | 4 | 1 | no | — |
| 156 | C22⋊D43 | — | 8 | 1 | no | — |
| 157 | C22⋊D43 | — | 8 | 1 | no | — |
| 158 | C22⋊D43 | — | 16 | 2 | no | — |
| 159 | C2×Dic43 | — | 4 | 1 | no | — |
| 160 | C2×Dic43 | — | 8 | 1 | no | — |
| 161 | D172 | — | 2 | 1 | no | — |
| 162 | D172 | — | 4 | 1 | no | — |
| 163 | D172 | — | 4 | 1 | no | — |
| 164 | D172 | — | 8 | 1 | no | — |
| 165 | D172 | — | 8 | 1 | no | — |
| 166 | D172 | — | 8 | 1 | no | — |
| 167 | C4×D43 | — | 4 | 1 | no | — |
| 168 | C4×D43 | — | 8 | 1 | no | — |
| 169 | Dic86 | — | 2 | 1 | no | — |
| 170 | C8×C43 | — | 4 | 1 | no | — |
| 171 | C8×C43 | — | 8 | 1 | no | — |
| 172 | C43⋊C8 | — | 2 | 1 | no | — |
| 173 | C43⋊C8 | — | 2 | 1 | no | — |
| 174 | C43⋊C8 | — | 4 | 1 | no | — |
| 175 | C43⋊C8 | — | 4 | 2 | no | — |
| 176 | #13677 | — | 43 | 1 | no | maximal, Sylow |
| 177 | C22×C43 | — | 4 | 1 | no | — |
| 178 | C22×C43 | — | 4 | 1 | no | — |
| 179 | C22×C43 | — | 8 | 1 | no | — |
| 180 | C22×C43 | — | 8 | 1 | no | — |
| 181 | C22×C43 | — | 8 | 1 | no | — |
| 182 | C22×C43 | — | 8 | 2 | no | — |
| 183 | C22×C43 | — | 8 | 1 | no | — |
| 184 | C22×C43 | — | 16 | 1 | no | — |
| 185 | C22×C43 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 186 | C2×D43 | — | 4 | 1 | no | — |
| 187 | C2×D43 | — | 8 | 1 | no | — |
| 188 | C2×D43 | — | 16 | 1 | no | — |
| 189 | C2×D43 | — | 16 | 1 | no | — |
| 190 | C2×D43 | — | 32 | 1 | no | — |
| 191 | C4×C43 | — | 2 | 1 | no | — |
| 192 | C4×C43 | — | 4 | 1 | no | — |
| 193 | C4×C43 | — | 4 | 1 | no | — |
| 194 | C4×C43 | — | 4 | 1 | no | — |
| 195 | C4×C43 | — | 8 | 1 | no | — |
| 196 | Dic43 | — | 4 | 1 | no | — |
| 197 | Dic43 | — | 16 | 1 | no | — |
| 198 | #3288 | — | 43 | 1 | no | — |
| 199 | #2202 | D43 | 1 | 1 | yes | characteristic, complemented |
| 200 | #2199 | — | 43 | 1 | no | — |
| 201 | #1655 | — | 43 | 1 | no | — |
| 202 | #1406 | — | 43 | 1 | no | — |
| 203 | #1404 | — | 43 | 1 | no | — |
| 204 | #1403 | — | 43 | 1 | no | — |
| 205 | C2×C43 | — | 2 | 1 | no | — |
| 206 | C2×C43 | — | 8 | 1 | no | — |
| 207 | C2×C43 | — | 8 | 1 | no | — |
| 208 | C2×C43 | — | 16 | 1 | no | — |
| 209 | C2×C43 | #2196 | 1 | 1 | yes | characteristic |
| 210 | D43 | — | 8 | 1 | no | — |
| 211 | D43 | — | 16 | 1 | no | — |
| 212 | #577 | — | 86 | 1 | no | — |
| 213 | #576 | — | 86 | 1 | no | — |
| 214 | H(3,𝔽4) | C2×D43 | 1 | 1 | yes | characteristic, complemented |
| 215 | #496 | — | 43 | 1 | no | — |
| 216 | #496 | — | 86 | 1 | no | — |
| 217 | #472 | — | 86 | 1 | no | — |
| 218 | #471 | — | 86 | 1 | no | — |
| 219 | B(4,𝔽2) | — | 86 | 1 | no | — |
| 220 | #455 | — | 43 | 1 | no | — |
| 221 | #454 | — | 2 | 1 | no | — |
| 222 | #454 | C2×D43 | 1 | 1 | yes | characteristic |
| 223 | #453 | — | 86 | 1 | no | — |
| 224 | #444 | — | 86 | 1 | no | — |
| 225 | #355 | — | 2 | 1 | no | — |
| 226 | #355 | C2×D43 | 1 | 1 | yes | characteristic, complemented |
| 227 | #354 | — | 43 | 1 | no | — |
| 228 | AΣL(1,𝔽16) | — | 86 | 1 | no | — |
| 229 | #329 | — | 43 | 1 | no | — |
| 230 | #329 | — | 86 | 1 | no | — |
| 231 | C43 | #13677 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 232 | 2−1+4 | C22⋊D43 | 1 | 1 | yes | characteristic, complemented |
| 233 | H(5,𝔽2) | — | 43 | 1 | no | — |
| 234 | H(5,𝔽2) | — | 86 | 1 | no | — |
| 235 | #137 | — | 86 | 1 | no | — |
| 236 | #137 | — | 172 | 1 | no | — |
| 237 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 238 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 239 | AGL(1,ℤ/8) | — | 86 | 1 | no | — |
| 240 | AGL(1,ℤ/8) | — | 86 | 1 | no | — |
| 241 | AGL(1,ℤ/8) | — | 172 | 1 | no | — |
| 242 | AGL(1,ℤ/8) | — | 172 | 1 | no | — |
| 243 | AGL(1,ℤ/8) | — | 172 | 1 | no | — |
| 244 | #135 | — | 86 | 1 | no | — |
| 245 | #135 | — | 172 | 1 | no | — |
| 246 | #135 | — | 172 | 1 | no | — |
| 247 | C2×SD16 | — | 86 | 1 | no | — |
| 248 | C2×SD16 | — | 172 | 1 | no | — |
| 249 | C2×SD16 | — | 172 | 1 | no | — |
| 250 | C2×D8 | — | 86 | 1 | no | — |
| 251 | C2×D8 | — | 172 | 1 | no | — |
| 252 | C2×D8 | — | 172 | 1 | no | — |
| 253 | #131 | — | 86 | 1 | no | — |
| 254 | #131 | — | 86 | 1 | no | — |
| 255 | #127 | — | 43 | 1 | no | — |
| 256 | #124 | — | 2 | 1 | no | — |
| 257 | #124 | — | 2 | 1 | no | — |
| 258 | #124 | — | 4 | 1 | no | — |
| 259 | #124 | C22×D43 | 1 | 1 | yes | characteristic |
| 260 | #120 | — | 2 | 1 | no | — |
| 261 | #120 | — | 4 | 1 | no | — |
| 262 | #120 | — | 172 | 1 | no | — |
| 263 | #108 | — | 86 | 1 | no | — |
| 264 | #104 | — | 2 | 1 | no | — |
| 265 | #104 | — | 4 | 1 | no | — |
| 266 | #104 | — | 86 | 1 | no | — |
| 267 | #101 | — | 2 | 1 | no | — |
| 268 | #101 | C22⋊D43 | 1 | 1 | yes | characteristic, complemented |
| 269 | #100 | — | 43 | 1 | no | — |
| 270 | #100 | — | 86 | 1 | no | — |
| 271 | #99 | — | 86 | 1 | no | — |
| 272 | #99 | — | 172 | 1 | no | — |
| 273 | #97 | — | 43 | 1 | no | — |
| 274 | #97 | — | 86 | 1 | no | — |
| 275 | C24 | — | 2 | 1 | no | — |
| 276 | #41 | — | 2 | 1 | no | — |
| 277 | #41 | — | 4 | 1 | no | — |
| 278 | #41 | — | 4 | 1 | no | — |
| 279 | #41 | — | 86 | 1 | no | — |
| 280 | #41 | — | 172 | 1 | no | — |
| 281 | #41 | — | 172 | 1 | no | — |
| 282 | #41 | — | 172 | 1 | no | — |
| 283 | C2×Q8 | — | 2 | 1 | no | — |
| 284 | C2×Q8 | — | 4 | 1 | no | — |
| 285 | C2×Q8 | C2×C22⋊D43 | 1 | 1 | yes | characteristic |
| 286 | C2×D4 | — | 2 | 1 | no | — |
| 287 | C2×D4 | — | 2 | 1 | no | — |
| 288 | C2×D4 | — | 4 | 1 | no | — |
| 289 | C2×D4 | — | 86 | 1 | no | — |
| 290 | C2×D4 | — | 344 | 1 | no | — |
| 291 | C2×D4 | — | 344 | 1 | no | — |
| 292 | C2×D4 | — | 172 | 1 | no | — |
| 293 | C2×D4 | — | 172 | 1 | no | — |
| 294 | C2×D4 | — | 172 | 1 | no | — |
| 295 | C2×D4 | — | 172 | 1 | no | — |
| 296 | C2×D4 | — | 172 | 1 | no | — |
| 297 | C2×D4 | D4×D43 | 1 | 1 | yes | characteristic |
| 298 | Q16 | — | 86 | 1 | no | — |
| 299 | Q16 | — | 172 | 1 | no | — |
| 300 | SD16 | — | 4 | 1 | no | — |
| 301 | SD16 | — | 8 | 1 | no | — |
| 302 | SD16 | — | 86 | 1 | no | — |
| 303 | SD16 | — | 86 | 1 | no | — |
| 304 | SD16 | — | 344 | 2 | no | — |
| 305 | SD16 | — | 172 | 1 | no | — |
| 306 | SD16 | — | 172 | 1 | no | — |
| 307 | SD16 | — | 172 | 1 | no | — |
| 308 | SD16 | — | 172 | 1 | no | — |
| 309 | SD16 | — | 172 | 1 | no | — |
| 310 | D8 | — | 4 | 1 | no | — |
| 311 | D8 | — | 8 | 1 | no | — |
| 312 | D8 | — | 86 | 1 | no | — |
| 313 | D8 | — | 344 | 2 | no | — |
| 314 | D8 | — | 172 | 1 | no | — |
| 315 | D8 | — | 172 | 1 | no | — |
| 316 | D8 | — | 172 | 1 | no | — |
| 317 | D8 | — | 172 | 1 | no | — |
| 318 | M16 | — | 2 | 1 | no | — |
| 319 | M16 | — | 4 | 1 | no | — |
| 320 | M16 | — | 86 | 1 | no | — |
| 321 | M16 | — | 172 | 1 | no | — |
| 322 | M16 | — | 172 | 1 | no | — |
| 323 | C2×C8 | — | 86 | 1 | no | — |
| 324 | C2×C8 | — | 172 | 1 | no | — |
| 325 | C2×C8 | — | 172 | 1 | no | — |
| 326 | C2×C8 | — | 172 | 1 | no | — |
| 327 | C22⋊C4 | — | 2 | 1 | no | — |
| 328 | C22⋊C4 | — | 4 | 1 | no | — |
| 329 | C22⋊C4 | — | 4 | 1 | no | — |
| 330 | C22⋊C4 | — | 4 | 1 | no | — |
| 331 | C22⋊C4 | — | 4 | 1 | no | — |
| 332 | C22⋊C4 | — | 344 | 1 | no | — |
| 333 | C22⋊C4 | — | 172 | 1 | no | — |
| 334 | C42 | — | 2 | 1 | no | — |
| 335 | C42 | D4×D43 | 1 | 1 | yes | characteristic |
| 336 | C23 | — | 2 | 1 | no | — |
| 337 | C23 | — | 4 | 1 | no | — |
| 338 | C23 | — | 8 | 1 | no | — |
| 339 | C23 | — | 16 | 1 | no | — |
| 340 | C23 | — | 344 | 1 | no | — |
| 341 | C23 | — | 172 | 1 | no | — |
| 342 | C23 | — | 172 | 1 | no | — |
| 343 | Q8 | — | 2 | 1 | no | — |
| 344 | Q8 | — | 4 | 1 | no | — |
| 345 | Q8 | — | 4 | 1 | no | — |
| 346 | Q8 | — | 8 | 1 | no | — |
| 347 | Q8 | — | 86 | 1 | no | — |
| 348 | D4 | — | 2 | 1 | no | — |
| 349 | D4 | — | 4 | 1 | no | — |
| 350 | D4 | — | 4 | 1 | no | — |
| 351 | D4 | — | 4 | 1 | no | — |
| 352 | D4 | — | 8 | 1 | no | — |
| 353 | D4 | — | 8 | 1 | no | — |
| 354 | D4 | — | 16 | 1 | no | — |
| 355 | D4 | — | 86 | 1 | no | — |
| 356 | D4 | — | 344 | 1 | no | — |
| 357 | D4 | — | 344 | 1 | no | — |
| 358 | D4 | — | 344 | 1 | no | — |
| 359 | D4 | — | 344 | 1 | no | — |
| 360 | D4 | — | 344 | 1 | no | — |
| 361 | D4 | — | 172 | 1 | no | — |
| 362 | D4 | — | 172 | 1 | no | — |
| 363 | D4 | — | 172 | 1 | no | — |
| 364 | D4 | — | 688 | 2 | no | — |
| 365 | C2×C4 | — | 2 | 1 | no | — |
| 366 | C2×C4 | — | 2 | 1 | no | — |
| 367 | C2×C4 | — | 4 | 1 | no | — |
| 368 | C2×C4 | — | 4 | 1 | no | — |
| 369 | C2×C4 | — | 8 | 1 | no | — |
| 370 | C2×C4 | — | 344 | 1 | no | — |
| 371 | C2×C4 | — | 344 | 1 | no | — |
| 372 | C2×C4 | — | 172 | 1 | no | — |
| 373 | C2×C4 | — | 172 | 1 | no | — |
| 374 | C2×C4 | #13063293 | 1 | 1 | yes | characteristic |
| 375 | C8 | — | 4 | 1 | no | — |
| 376 | C8 | — | 8 | 1 | no | — |
| 377 | C8 | — | 86 | 1 | no | — |
| 378 | C8 | — | 86 | 1 | no | — |
| 379 | C8 | — | 172 | 1 | no | — |
| 380 | C8 | — | 172 | 2 | no | — |
| 381 | C22 | — | 4 | 1 | no | — |
| 382 | C22 | — | 4 | 1 | no | — |
| 383 | C22 | — | 8 | 1 | no | — |
| 384 | C22 | — | 8 | 1 | no | — |
| 385 | C22 | — | 8 | 1 | no | — |
| 386 | C22 | — | 8 | 2 | no | — |
| 387 | C22 | — | 8 | 1 | no | — |
| 388 | C22 | — | 16 | 1 | no | — |
| 389 | C22 | — | 344 | 1 | no | — |
| 390 | C22 | — | 1376 | 1 | no | — |
| 391 | C22 | — | 172 | 1 | no | — |
| 392 | C22 | — | 688 | 1 | no | — |
| 393 | C22 | — | 688 | 1 | no | — |
| 394 | C22 | #14583085 | 1 | 1 | yes | characteristic |
| 395 | C4 | — | 2 | 1 | no | — |
| 396 | C4 | — | 4 | 1 | no | — |
| 397 | C4 | — | 4 | 1 | no | — |
| 398 | C4 | — | 4 | 1 | no | — |
| 399 | C4 | — | 8 | 1 | no | — |
| 400 | C4 | — | 172 | 1 | no | — |
| 401 | C4 | — | 688 | 1 | no | — |
| 402 | C2 | — | 2 | 1 | no | — |
| 403 | C2 | — | 8 | 1 | no | — |
| 404 | C2 | — | 8 | 1 | no | — |
| 405 | C2 | — | 16 | 1 | no | — |
| 406 | C2 | — | 344 | 1 | no | — |
| 407 | C2 | — | 688 | 1 | no | — |
| 408 | C2 | #19136577 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #19146363 | C2 | semidirect |
| 2. #19136596 | C2 | semidirect |
| 3. #19133884 | C2 | semidirect |
| 4. #19132753 | C2 | semidirect |
| 5. #19132746 | C2 | semidirect |
| 6. #19132742 | C2 | semidirect |
| 7. C43×#2202 | C2 | semidirect |
| 18. #14582694 | C22 | semidirect |
| 21. #14582639 | C22 | semidirect |
| 22. C43×H(3,𝔽4) | C22 | semidirect |
| 26. C43×#355 | C22 | semidirect |
| 47. #13063322 | D4 | semidirect |
| 56. #13063236 | D4 | semidirect |
| 57. 2−1+4×C43 | D4 | semidirect |
| 69. #101×C43 | D4 | semidirect |
| 199. #2202 | D43 | semidirect |
| 214. H(3,𝔽4) | C2×D43 | semidirect |
| 226. #355 | C2×D43 | semidirect |
| 231. C43 | #13677 | semidirect |
| 232. 2−1+4 | C22⋊D43 | semidirect |
| 268. #101 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19146363 | 2 |
| #19136596 | 2 |
| #19133884 | 2 |
| #19132753 | 2 |
| #19132746 | 2 |
| #19132742 | 2 |
| C43×#2202 | 2 |
| #13677 | 43 |