Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
498 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 59 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 | #19143942 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #19136259 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #19133185 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #19132747 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #19132746 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #19132745 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C43×#1404 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #14583736 | C4 | 1 | 1 | yes | characteristic, complemented |
| 9 | #14583695 | — | 2 | 1 | no | — |
| 10 | #14583448 | C22 | 1 | 1 | yes | characteristic |
| 11 | #14583084 | C4 | 1 | 1 | yes | characteristic, complemented |
| 12 | #14583082 | C4 | 1 | 1 | yes | characteristic, complemented |
| 13 | #14583078 | — | 2 | 1 | no | — |
| 14 | #14583071 | C22 | 1 | 1 | yes | characteristic |
| 15 | #14583065 | — | 2 | 1 | no | — |
| 16 | #104×D43 | — | 2 | 1 | no | — |
| 17 | #14582882 | C4 | 1 | 1 | yes | characteristic, complemented |
| 18 | #14582871 | — | 2 | 1 | no | — |
| 19 | #14582851 | — | 2 | 1 | no | — |
| 20 | #14582694 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #14582691 | — | 2 | 1 | no | — |
| 22 | #14582639 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #14582638 | — | 2 | 1 | no | — |
| 24 | C43×#454 | C22 | 1 | 1 | yes | characteristic |
| 25 | C43×#354 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C43×#329 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #13063373 | — | 4 | 1 | no | — |
| 28 | #13063373 | C2×C4 | 1 | 1 | yes | characteristic |
| 29 | #13063371 | — | 2 | 1 | no | — |
| 30 | #13063371 | — | 4 | 1 | no | — |
| 31 | #13063371 | — | 4 | 1 | no | — |
| 32 | C2×#10621902 | — | 4 | 1 | no | — |
| 33 | C2×#10621902 | C2×C4 | 1 | 1 | yes | characteristic |
| 34 | C2×#10621900 | D4 | 1 | 1 | yes | characteristic |
| 35 | #41×D43 | — | 2 | 1 | no | — |
| 36 | #41×D43 | — | 4 | 1 | no | — |
| 37 | #41×D43 | — | 4 | 1 | no | — |
| 38 | #13063358 | — | 2 | 1 | no | — |
| 39 | #13063355 | — | 2 | 1 | no | — |
| 40 | #13063354 | — | 4 | 1 | no | — |
| 41 | #13063351 | — | 2 | 1 | no | — |
| 42 | #13063349 | — | 4 | 1 | no | — |
| 43 | #13063346 | — | 4 | 1 | no | — |
| 44 | #13063344 | — | 4 | 1 | no | — |
| 45 | C2×#10621872 | — | 4 | 1 | no | — |
| 46 | M16×D43 | — | 2 | 1 | no | — |
| 47 | #13063323 | C2×C4 | 1 | 1 | yes | characteristic |
| 48 | #13063321 | D4 | 1 | 1 | yes | characteristic |
| 49 | #13063313 | D4 | 1 | 1 | yes | characteristic |
| 50 | #13063298 | — | 4 | 1 | no | — |
| 51 | (C22⋊D43)⋊C4 | — | 4 | 1 | no | — |
| 52 | #13063281 | — | 4 | 1 | no | — |
| 53 | C42×D43 | D4 | 1 | 1 | yes | characteristic |
| 54 | #13063253 | — | 2 | 1 | no | — |
| 55 | #13063252 | — | 2 | 1 | no | — |
| 56 | #13063251 | — | 2 | 1 | no | — |
| 57 | #13063244 | C2×C4 | 1 | 1 | yes | characteristic |
| 58 | #13063241 | — | 2 | 1 | no | — |
| 59 | #13063240 | — | 2 | 1 | no | — |
| 60 | #13063239 | — | 4 | 1 | no | — |
| 61 | #13063236 | — | 2 | 1 | no | — |
| 62 | C8×Dic43 | — | 4 | 1 | no | — |
| 63 | 2−1+4×C43 | C2×C4 | 1 | 1 | yes | characteristic |
| 64 | AGL(1,ℤ/8)×C43 | — | 2 | 1 | no | — |
| 65 | #124×C43 | C23 | 1 | 1 | yes | characteristic |
| 66 | #104×C43 | — | 2 | 1 | no | — |
| 67 | #101×C43 | C2×C4 | 1 | 1 | yes | characteristic |
| 68 | #99×C43 | — | 2 | 1 | no | — |
| 69 | #97×C43 | — | 2 | 1 | no | — |
| 70 | #41×C43 | — | 2 | 1 | no | — |
| 71 | #41×C43 | — | 4 | 1 | no | — |
| 72 | #41×C43 | — | 4 | 1 | no | — |
| 73 | C2×Q8×C43 | — | 4 | 1 | no | — |
| 74 | C2×Q8×C43 | C22×C4 | 1 | 1 | yes | characteristic |
| 75 | C2×D4×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 76 | C2×C22⋊D43 | — | 2 | 1 | no | — |
| 77 | C2×C22⋊D43 | — | 4 | 1 | no | — |
| 78 | C22×Dic43 | — | 2 | 1 | no | — |
| 79 | #10621902 | — | 2 | 1 | no | — |
| 80 | #10621902 | — | 4 | 1 | no | — |
| 81 | #10621902 | — | 4 | 1 | no | — |
| 82 | #10621902 | — | 4 | 1 | no | — |
| 83 | #10621902 | — | 4 | 1 | no | — |
| 84 | #10621902 | — | 4 | 2 | no | — |
| 85 | #10621902 | — | 4 | 1 | no | — |
| 86 | Q8×D43 | — | 2 | 1 | no | — |
| 87 | Q8×D43 | — | 4 | 1 | no | — |
| 88 | Q8×D43 | — | 4 | 1 | no | — |
| 89 | #10621900 | — | 2 | 1 | no | — |
| 90 | #10621900 | — | 4 | 1 | no | — |
| 91 | #10621900 | — | 4 | 1 | no | — |
| 92 | #10621900 | — | 4 | 1 | no | — |
| 93 | #10621900 | — | 4 | 1 | no | — |
| 94 | D4×D43 | — | 2 | 1 | no | — |
| 95 | D4×D43 | — | 4 | 2 | no | — |
| 96 | D4×D43 | — | 4 | 1 | no | — |
| 97 | D4×D43 | — | 4 | 2 | no | — |
| 98 | D4×D43 | — | 4 | 1 | no | — |
| 99 | D4×D43 | — | 4 | 1 | no | — |
| 100 | #10621898 | — | 2 | 1 | no | — |
| 101 | #10621898 | — | 4 | 1 | no | — |
| 102 | #10621898 | — | 4 | 1 | no | — |
| 103 | #10621898 | — | 4 | 2 | no | — |
| 104 | #10621898 | — | 4 | 2 | no | — |
| 105 | #10621898 | — | 4 | 1 | no | — |
| 106 | C2×D172 | — | 2 | 1 | no | — |
| 107 | C2×D172 | — | 4 | 1 | no | — |
| 108 | C2×D172 | — | 4 | 2 | no | — |
| 109 | C2×D172 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 110 | C2×C4×D43 | — | 2 | 1 | no | — |
| 111 | C2×C4×D43 | — | 2 | 1 | no | — |
| 112 | C2×C4×D43 | — | 4 | 1 | no | — |
| 113 | C2×C4×D43 | — | 4 | 2 | no | — |
| 114 | C2×C4×D43 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 115 | C2×Dic86 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 116 | SD16×C43 | — | 4 | 1 | no | — |
| 117 | D8×C43 | — | 4 | 1 | no | — |
| 118 | M16×C43 | — | 2 | 1 | no | — |
| 119 | C2×C8×C43 | — | 4 | 1 | no | — |
| 120 | C22⋊C4×C43 | — | 4 | 1 | no | — |
| 121 | C22⋊C4×C43 | — | 4 | 1 | no | — |
| 122 | C42×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 123 | C22⋊Dic43 | — | 4 | 1 | no | — |
| 124 | #10621885 | — | 4 | 1 | no | — |
| 125 | #10621883 | — | 4 | 1 | no | — |
| 126 | #10621883 | — | 4 | 1 | no | — |
| 127 | #10621882 | — | 4 | 1 | no | — |
| 128 | (C2×D43)⋊C4 | — | 4 | 1 | no | — |
| 129 | Dic43⋊C4 | — | 4 | 1 | no | — |
| 130 | Dic43⋊C4 | — | 8 | 1 | no | — |
| 131 | C4×Dic43 | — | 2 | 1 | no | — |
| 132 | C4×Dic43 | — | 8 | 1 | no | — |
| 133 | C4×Dic43 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 134 | #10621877 | — | 2 | 1 | no | — |
| 135 | C2×C43⋊C8 | — | 4 | 1 | no | — |
| 136 | Dic172 | — | 4 | 1 | no | — |
| 137 | #10621873 | — | 4 | 1 | no | — |
| 138 | #10621872 | — | 4 | 1 | no | — |
| 139 | #10621872 | — | 4 | 4 | no | — |
| 140 | C8×D43 | — | 4 | 1 | no | — |
| 141 | C23×C43 | — | 2 | 1 | no | — |
| 142 | C22×D43 | — | 2 | 1 | no | — |
| 143 | C22×D43 | — | 4 | 1 | no | — |
| 144 | C22×D43 | — | 4 | 2 | no | — |
| 145 | C22×D43 | #99 | 1 | 1 | yes | characteristic |
| 146 | Q8×C43 | — | 2 | 1 | no | — |
| 147 | Q8×C43 | — | 4 | 1 | no | — |
| 148 | Q8×C43 | — | 4 | 1 | no | — |
| 149 | D4×C43 | — | 2 | 1 | no | — |
| 150 | D4×C43 | — | 4 | 1 | no | — |
| 151 | D4×C43 | — | 4 | 1 | no | — |
| 152 | D4×C43 | — | 4 | 1 | no | — |
| 153 | C2×C4×C43 | — | 2 | 1 | no | — |
| 154 | C2×C4×C43 | — | 2 | 1 | no | — |
| 155 | C2×C4×C43 | — | 4 | 1 | no | — |
| 156 | C2×C4×C43 | — | 4 | 2 | no | — |
| 157 | C2×C4×C43 | — | 8 | 1 | no | — |
| 158 | C2×C4×C43 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 159 | C22⋊D43 | — | 4 | 1 | no | — |
| 160 | C22⋊D43 | — | 4 | 2 | no | — |
| 161 | C22⋊D43 | — | 4 | 1 | no | — |
| 162 | C22⋊D43 | — | 4 | 1 | no | — |
| 163 | C22⋊D43 | — | 8 | 2 | no | — |
| 164 | C22⋊D43 | — | 8 | 1 | no | — |
| 165 | C2×Dic43 | — | 2 | 1 | no | — |
| 166 | C2×Dic43 | — | 2 | 1 | no | — |
| 167 | C2×Dic43 | — | 4 | 1 | no | — |
| 168 | C2×Dic43 | — | 4 | 1 | no | — |
| 169 | C2×Dic43 | — | 4 | 1 | no | — |
| 170 | C2×Dic43 | — | 8 | 1 | no | — |
| 171 | C2×Dic43 | #99 | 1 | 1 | yes | characteristic |
| 172 | D172 | — | 2 | 1 | no | — |
| 173 | D172 | — | 4 | 1 | no | — |
| 174 | D172 | — | 4 | 2 | no | — |
| 175 | D172 | — | 4 | 1 | no | — |
| 176 | D172 | — | 4 | 1 | no | — |
| 177 | D172 | — | 4 | 2 | no | — |
| 178 | C4×D43 | — | 2 | 1 | no | — |
| 179 | C4×D43 | — | 2 | 1 | no | — |
| 180 | C4×D43 | — | 4 | 2 | no | — |
| 181 | C4×D43 | — | 4 | 1 | no | — |
| 182 | C4×D43 | — | 4 | 1 | no | — |
| 183 | C4×D43 | — | 4 | 2 | no | — |
| 184 | C4×D43 | — | 4 | 2 | no | — |
| 185 | C4×D43 | — | 4 | 1 | no | — |
| 186 | C4×D43 | — | 4 | 1 | no | — |
| 187 | C4×D43 | — | 4 | 1 | no | — |
| 188 | Dic86 | — | 2 | 1 | no | — |
| 189 | Dic86 | — | 4 | 1 | no | — |
| 190 | Dic86 | — | 4 | 1 | no | — |
| 191 | Dic86 | — | 4 | 1 | no | — |
| 192 | C8×C43 | — | 4 | 1 | no | — |
| 193 | C8×C43 | — | 4 | 2 | no | — |
| 194 | C43⋊C8 | — | 4 | 1 | no | — |
| 195 | C43⋊C8 | — | 4 | 2 | no | — |
| 196 | #13568 | — | 43 | 1 | no | maximal, Sylow |
| 197 | C22×C43 | — | 4 | 1 | no | — |
| 198 | C22×C43 | — | 4 | 1 | no | — |
| 199 | C22×C43 | — | 8 | 1 | no | — |
| 200 | C22×C43 | C2×#99 | 1 | 1 | yes | characteristic |
| 201 | C2×D43 | — | 2 | 1 | no | — |
| 202 | C2×D43 | — | 4 | 1 | no | — |
| 203 | C2×D43 | — | 4 | 1 | no | — |
| 204 | C2×D43 | — | 4 | 1 | no | — |
| 205 | C2×D43 | — | 8 | 1 | no | — |
| 206 | C2×D43 | — | 16 | 1 | no | — |
| 207 | C2×D43 | — | 16 | 2 | no | — |
| 208 | C4×C43 | — | 2 | 1 | no | — |
| 209 | C4×C43 | — | 4 | 1 | no | — |
| 210 | C4×C43 | — | 4 | 1 | no | — |
| 211 | C4×C43 | — | 4 | 1 | no | — |
| 212 | C4×C43 | — | 16 | 1 | no | — |
| 213 | Dic43 | — | 2 | 2 | no | — |
| 214 | Dic43 | — | 4 | 1 | no | — |
| 215 | Dic43 | — | 4 | 1 | no | — |
| 216 | Dic43 | — | 16 | 1 | no | — |
| 217 | Dic43 | AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 218 | Dic43 | AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 219 | #3018 | — | 43 | 1 | no | — |
| 220 | #2126 | — | 43 | 1 | no | — |
| 221 | #1525 | — | 43 | 1 | no | — |
| 222 | #1404 | — | 43 | 1 | no | — |
| 223 | #1404 | — | 43 | 1 | no | — |
| 224 | #1404 | — | 43 | 1 | no | — |
| 225 | #1404 | D43 | 1 | 1 | yes | characteristic, complemented |
| 226 | C2×C43 | — | 2 | 1 | no | — |
| 227 | C2×C43 | — | 8 | 1 | no | — |
| 228 | C2×C43 | — | 8 | 1 | no | — |
| 229 | C2×C43 | C2×AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 230 | D43 | — | 4 | 1 | no | — |
| 231 | D43 | — | 8 | 1 | no | — |
| 232 | D43 | — | 8 | 1 | no | — |
| 233 | #585 | — | 43 | 1 | no | — |
| 234 | #575 | — | 86 | 1 | no | — |
| 235 | #532 | — | 43 | 1 | no | — |
| 236 | #456 | — | 43 | 1 | no | — |
| 237 | #456 | — | 43 | 1 | no | — |
| 238 | #455 | — | 86 | 1 | no | — |
| 239 | #454 | — | 43 | 1 | no | — |
| 240 | #454 | C2×D43 | 1 | 1 | yes | characteristic |
| 241 | #453 | — | 86 | 1 | no | — |
| 242 | C2×#104 | — | 86 | 1 | no | — |
| 243 | #413 | — | 43 | 1 | no | — |
| 244 | #410 | — | 86 | 1 | no | — |
| 245 | C4×M16 | — | 86 | 1 | no | — |
| 246 | #354 | — | 43 | 1 | no | — |
| 247 | #354 | C2×D43 | 1 | 1 | yes | characteristic, complemented |
| 248 | #353 | — | 86 | 1 | no | — |
| 249 | #329 | — | 43 | 1 | no | — |
| 250 | #329 | — | 86 | 1 | no | — |
| 251 | #329 | C2×D43 | 1 | 1 | yes | characteristic, complemented |
| 252 | C43 | #13568 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 253 | 2−1+4 | — | 43 | 1 | no | — |
| 254 | 2−1+4 | — | 172 | 1 | no | — |
| 255 | 2−1+4 | C4×D43 | 1 | 1 | yes | characteristic |
| 256 | H(5,𝔽2) | — | 86 | 1 | no | — |
| 257 | H(5,𝔽2) | — | 172 | 1 | no | — |
| 258 | H(5,𝔽2) | — | 172 | 1 | no | — |
| 259 | C2×#41 | — | 43 | 1 | no | — |
| 260 | C2×#41 | — | 43 | 1 | no | — |
| 261 | C2×#41 | — | 86 | 1 | no | — |
| 262 | C2×#41 | — | 172 | 1 | no | — |
| 263 | C2×#41 | — | 172 | 1 | no | — |
| 264 | C2×#41 | — | 172 | 1 | no | — |
| 265 | #137 | — | 86 | 1 | no | — |
| 266 | #137 | — | 86 | 1 | no | — |
| 267 | #137 | — | 172 | 1 | no | — |
| 268 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 269 | AGL(1,ℤ/8) | — | 86 | 1 | no | — |
| 270 | AGL(1,ℤ/8) | — | 172 | 1 | no | — |
| 271 | #135 | — | 172 | 1 | no | — |
| 272 | #135 | — | 172 | 1 | no | — |
| 273 | C2×M16 | — | 86 | 1 | no | — |
| 274 | C2×M16 | — | 172 | 1 | no | — |
| 275 | C4⋊Q8 | — | 43 | 1 | no | — |
| 276 | #127 | — | 43 | 1 | no | — |
| 277 | #124 | — | 43 | 1 | no | — |
| 278 | #124 | C22×D43 | 1 | 1 | yes | characteristic |
| 279 | #121 | — | 172 | 1 | no | — |
| 280 | C4×D4 | — | 172 | 1 | no | — |
| 281 | #117 | — | 172 | 1 | no | — |
| 282 | C2×C42 | — | 43 | 1 | no | — |
| 283 | #104 | — | 2 | 1 | no | — |
| 284 | #104 | — | 86 | 1 | no | — |
| 285 | #104 | — | 86 | 1 | no | — |
| 286 | #104 | — | 86 | 1 | no | — |
| 287 | #101 | — | 43 | 1 | no | — |
| 288 | #101 | C4×D43 | 1 | 1 | yes | characteristic |
| 289 | #100 | — | 86 | 1 | no | — |
| 290 | #99 | — | 2 | 1 | no | — |
| 291 | #99 | — | 86 | 1 | no | — |
| 292 | #99 | — | 172 | 1 | no | — |
| 293 | #97 | — | 2 | 1 | no | — |
| 294 | #97 | — | 86 | 1 | no | — |
| 295 | C4×C8 | — | 172 | 1 | no | — |
| 296 | #41 | — | 2 | 1 | no | — |
| 297 | #41 | — | 4 | 1 | no | — |
| 298 | #41 | — | 4 | 1 | no | — |
| 299 | #41 | — | 86 | 1 | no | — |
| 300 | #41 | — | 86 | 1 | no | — |
| 301 | #41 | — | 86 | 1 | no | — |
| 302 | #41 | — | 172 | 1 | no | — |
| 303 | #41 | — | 172 | 1 | no | — |
| 304 | #41 | — | 172 | 1 | no | — |
| 305 | #41 | — | 172 | 2 | no | — |
| 306 | #41 | — | 172 | 2 | no | — |
| 307 | #41 | — | 172 | 1 | no | — |
| 308 | #41 | — | 172 | 1 | no | — |
| 309 | #41 | — | 172 | 1 | no | — |
| 310 | #41 | — | 172 | 1 | no | — |
| 311 | #41 | — | 172 | 1 | no | — |
| 312 | #41 | — | 172 | 1 | no | — |
| 313 | #41 | — | 172 | 1 | no | — |
| 314 | #41 | — | 172 | 2 | no | — |
| 315 | #41 | — | 172 | 1 | no | — |
| 316 | #41 | — | 172 | 1 | no | — |
| 317 | C2×Q8 | — | 4 | 1 | no | — |
| 318 | C2×Q8 | — | 43 | 1 | no | — |
| 319 | C2×Q8 | — | 86 | 1 | no | — |
| 320 | C2×Q8 | — | 172 | 1 | no | — |
| 321 | C2×Q8 | — | 172 | 1 | no | — |
| 322 | C2×Q8 | C2×C4×D43 | 1 | 1 | yes | characteristic |
| 323 | C2×D4 | — | 43 | 1 | no | — |
| 324 | C2×D4 | — | 86 | 1 | no | — |
| 325 | C2×D4 | — | 86 | 1 | no | — |
| 326 | C2×D4 | — | 86 | 1 | no | — |
| 327 | C2×D4 | — | 172 | 1 | no | — |
| 328 | C2×D4 | — | 172 | 2 | no | — |
| 329 | C2×D4 | — | 172 | 1 | no | — |
| 330 | C2×D4 | — | 172 | 1 | no | — |
| 331 | C2×D4 | — | 172 | 1 | no | — |
| 332 | C2×D4 | — | 172 | 2 | no | — |
| 333 | C2×D4 | — | 172 | 2 | no | — |
| 334 | C2×D4 | — | 172 | 1 | no | — |
| 335 | C2×D4 | D4×D43 | 1 | 1 | yes | characteristic |
| 336 | C22×C4 | — | 43 | 1 | no | — |
| 337 | C22×C4 | — | 86 | 1 | no | — |
| 338 | C22×C4 | — | 86 | 1 | no | — |
| 339 | C22×C4 | — | 86 | 1 | no | — |
| 340 | C22×C4 | — | 172 | 1 | no | — |
| 341 | C22×C4 | — | 172 | 2 | no | — |
| 342 | Q16 | — | 172 | 1 | no | — |
| 343 | Q16 | — | 172 | 1 | no | — |
| 344 | SD16 | — | 4 | 1 | no | — |
| 345 | SD16 | — | 172 | 1 | no | — |
| 346 | SD16 | — | 172 | 1 | no | — |
| 347 | SD16 | — | 172 | 1 | no | — |
| 348 | D8 | — | 4 | 1 | no | — |
| 349 | D8 | — | 172 | 1 | no | — |
| 350 | M16 | — | 2 | 1 | no | — |
| 351 | M16 | — | 86 | 1 | no | — |
| 352 | M16 | — | 172 | 1 | no | — |
| 353 | M16 | — | 172 | 4 | no | — |
| 354 | C2×C8 | — | 4 | 1 | no | — |
| 355 | C2×C8 | — | 172 | 1 | no | — |
| 356 | C2×C8 | — | 172 | 1 | no | — |
| 357 | C4⋊C4 | — | 344 | 1 | no | — |
| 358 | C4⋊C4 | — | 172 | 1 | no | — |
| 359 | C22⋊C4 | — | 4 | 1 | no | — |
| 360 | C22⋊C4 | — | 4 | 1 | no | — |
| 361 | C22⋊C4 | — | 172 | 1 | no | — |
| 362 | C22⋊C4 | — | 172 | 1 | no | — |
| 363 | C42 | — | 43 | 1 | no | — |
| 364 | C42 | — | 86 | 1 | no | — |
| 365 | C42 | — | 344 | 1 | no | — |
| 366 | C42 | D4×D43 | 1 | 1 | yes | characteristic |
| 367 | C23 | — | 2 | 1 | no | — |
| 368 | C23 | — | 43 | 1 | no | — |
| 369 | C23 | — | 86 | 1 | no | — |
| 370 | C23 | — | 172 | 1 | no | — |
| 371 | C23 | — | 172 | 2 | no | — |
| 372 | Q8 | — | 2 | 1 | no | — |
| 373 | Q8 | — | 4 | 1 | no | — |
| 374 | Q8 | — | 4 | 1 | no | — |
| 375 | Q8 | — | 86 | 1 | no | — |
| 376 | Q8 | — | 172 | 1 | no | — |
| 377 | Q8 | — | 172 | 1 | no | — |
| 378 | Q8 | — | 172 | 1 | no | — |
| 379 | D4 | — | 2 | 1 | no | — |
| 380 | D4 | — | 4 | 1 | no | — |
| 381 | D4 | — | 4 | 1 | no | — |
| 382 | D4 | — | 4 | 1 | no | — |
| 383 | D4 | — | 86 | 1 | no | — |
| 384 | D4 | — | 344 | 2 | no | — |
| 385 | D4 | — | 344 | 1 | no | — |
| 386 | D4 | — | 172 | 1 | no | — |
| 387 | D4 | — | 172 | 2 | no | — |
| 388 | D4 | — | 172 | 1 | no | — |
| 389 | D4 | — | 172 | 1 | no | — |
| 390 | D4 | — | 172 | 2 | no | — |
| 391 | D4 | — | 172 | 1 | no | — |
| 392 | D4 | — | 172 | 1 | no | — |
| 393 | D4 | — | 172 | 2 | no | — |
| 394 | D4 | — | 172 | 1 | no | — |
| 395 | C2×C4 | — | 2 | 1 | no | — |
| 396 | C2×C4 | — | 2 | 1 | no | — |
| 397 | C2×C4 | — | 4 | 1 | no | — |
| 398 | C2×C4 | — | 4 | 2 | no | — |
| 399 | C2×C4 | — | 8 | 1 | no | — |
| 400 | C2×C4 | — | 43 | 1 | no | — |
| 401 | C2×C4 | — | 86 | 1 | no | — |
| 402 | C2×C4 | — | 86 | 1 | no | — |
| 403 | C2×C4 | — | 86 | 1 | no | — |
| 404 | C2×C4 | — | 86 | 1 | no | — |
| 405 | C2×C4 | — | 344 | 1 | no | — |
| 406 | C2×C4 | — | 172 | 1 | no | — |
| 407 | C2×C4 | — | 172 | 1 | no | — |
| 408 | C2×C4 | — | 172 | 1 | no | — |
| 409 | C2×C4 | — | 172 | 1 | no | — |
| 410 | C2×C4 | — | 172 | 2 | no | — |
| 411 | C2×C4 | — | 172 | 1 | no | — |
| 412 | C2×C4 | — | 172 | 2 | no | — |
| 413 | C2×C4 | — | 172 | 2 | no | — |
| 414 | C2×C4 | — | 172 | 1 | no | — |
| 415 | C2×C4 | — | 172 | 1 | no | — |
| 416 | C2×C4 | — | 172 | 1 | no | — |
| 417 | C2×C4 | C22⋊C4×D43 | 1 | 1 | yes | characteristic |
| 418 | C8 | — | 4 | 1 | no | — |
| 419 | C8 | — | 4 | 2 | no | — |
| 420 | C8 | — | 172 | 1 | no | — |
| 421 | C8 | — | 172 | 2 | no | — |
| 422 | C22 | — | 4 | 1 | no | — |
| 423 | C22 | — | 4 | 1 | no | — |
| 424 | C22 | — | 8 | 1 | no | — |
| 425 | C22 | — | 86 | 1 | no | — |
| 426 | C22 | — | 344 | 1 | no | — |
| 427 | C22 | — | 172 | 1 | no | — |
| 428 | C22 | — | 172 | 1 | no | — |
| 429 | C22 | — | 172 | 1 | no | — |
| 430 | C22 | — | 688 | 2 | no | — |
| 431 | C22 | — | 688 | 1 | no | — |
| 432 | C22 | #99×D43 | 1 | 1 | yes | characteristic |
| 433 | C4 | — | 2 | 1 | no | — |
| 434 | C4 | — | 4 | 1 | no | — |
| 435 | C4 | — | 4 | 1 | no | — |
| 436 | C4 | — | 4 | 1 | no | — |
| 437 | C4 | — | 16 | 1 | no | — |
| 438 | C4 | — | 43 | 1 | no | — |
| 439 | C4 | — | 43 | 1 | no | — |
| 440 | C4 | — | 86 | 2 | no | — |
| 441 | C4 | — | 172 | 1 | no | — |
| 442 | C4 | — | 172 | 1 | no | — |
| 443 | C4 | — | 688 | 1 | no | — |
| 444 | C2 | — | 2 | 1 | no | — |
| 445 | C2 | — | 8 | 1 | no | — |
| 446 | C2 | — | 8 | 1 | no | — |
| 447 | C2 | — | 344 | 1 | no | — |
| 448 | C2 | — | 344 | 1 | no | — |
| 449 | C2 | — | 172 | 1 | no | — |
| 450 | C2 | AΣL(1,𝔽16)×D43 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19136259 | C2 | semidirect |
| 3. #19133185 | C2 | semidirect |
| 4. #19132747 | C2 | semidirect |
| 5. #19132746 | C2 | semidirect |
| 6. #19132745 | C2 | semidirect |
| 7. C43×#1404 | C2 | semidirect |
| 8. #14583736 | C4 | semidirect |
| 11. #14583084 | C4 | semidirect |
| 12. #14583082 | C4 | semidirect |
| 17. #14582882 | C4 | semidirect |
| 20. #14582694 | C22 | semidirect |
| 22. #14582639 | C22 | semidirect |
| 25. C43×#354 | C22 | semidirect |
| 26. C43×#329 | C22 | semidirect |
| 225. #1404 | D43 | semidirect |
| 247. #354 | C2×D43 | semidirect |
| 251. #329 | C2×D43 | semidirect |
| 252. C43 | #13568 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143942 | 2 |
| #19136259 | 2 |
| #19133185 | 2 |
| #19132747 | 2 |
| #19132746 | 2 |
| #19132745 | 2 |
| C43×#1404 | 2 |
| #13568 | 43 |