Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1078 conjugacy classes of subgroups.
The subgroup lattice has 566 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #19149000 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #19145592 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #19145590 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #19145041 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #19133903 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #19133885 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #19133229 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #19133205 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C43×#1530 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×#13063347 | — | 2 | 2 | no | — |
| 11 | #14583641 | C22 | 1 | 4 | yes | — |
| 12 | #14583615 | — | 2 | 1 | no | — |
| 13 | #14583614 | — | 2 | 1 | no | — |
| 14 | #14583614 | — | 2 | 1 | no | — |
| 15 | D4×D172 | — | 2 | 1 | no | — |
| 16 | D4×D172 | — | 2 | 1 | no | — |
| 17 | #14583534 | — | 2 | 1 | no | — |
| 18 | #14583465 | — | 2 | 2 | no | — |
| 19 | #14583465 | — | 2 | 2 | no | — |
| 20 | #14583463 | — | 2 | 2 | no | — |
| 21 | #14583449 | C22 | 1 | 1 | yes | characteristic |
| 22 | #14583449 | C22 | 1 | 1 | yes | characteristic |
| 23 | #14583449 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #14583293 | — | 2 | 1 | no | — |
| 25 | #14583293 | C22 | 1 | 2 | yes | complemented |
| 26 | #14583289 | C22 | 1 | 2 | yes | complemented |
| 27 | #14583288 | — | 2 | 1 | no | — |
| 28 | #14583288 | C22 | 1 | 2 | yes | complemented |
| 29 | #14583288 | C22 | 1 | 2 | yes | complemented |
| 30 | #14583259 | C22 | 1 | 2 | yes | complemented |
| 31 | #14583258 | C22 | 1 | 2 | yes | complemented |
| 32 | #14583105 | — | 2 | 1 | no | — |
| 33 | #14583101 | — | 2 | 1 | no | — |
| 34 | #14583095 | — | 2 | 1 | no | — |
| 35 | #14583091 | — | 2 | 1 | no | — |
| 36 | #14583046 | — | 2 | 2 | no | — |
| 37 | #14583044 | — | 2 | 2 | no | — |
| 38 | #14582956 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #14582638 | C22 | 1 | 4 | yes | complemented |
| 40 | #14582638 | C22 | 1 | 4 | yes | complemented |
| 41 | C43×#532 | C22 | 1 | 1 | yes | characteristic |
| 42 | C43×#432 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C2×#97×C43 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C43×#329 | C22 | 1 | 4 | yes | complemented |
| 45 | C2×#10621898 | — | 2 | 1 | no | — |
| 46 | C2×#10621898 | D4 | 1 | 2 | yes | — |
| 47 | C2×#10621898 | D4 | 1 | 2 | yes | — |
| 48 | C22×D172 | — | 2 | 2 | no | — |
| 49 | C2×D4×D43 | — | 2 | 2 | no | — |
| 50 | C2×D4×D43 | — | 2 | 2 | no | — |
| 51 | #13063347 | — | 4 | 8 | no | — |
| 52 | C2×Dic172 | — | 2 | 2 | no | — |
| 53 | C2×#10621873 | — | 2 | 2 | no | — |
| 54 | C2×#10621873 | — | 2 | 2 | no | — |
| 55 | C2×#10621873 | — | 2 | 2 | no | — |
| 56 | C2×#10621884 | — | 2 | 2 | no | — |
| 57 | C2×D344 | — | 2 | 2 | no | — |
| 58 | C2×D344 | — | 2 | 2 | no | — |
| 59 | C2×#10621882 | — | 2 | 2 | no | — |
| 60 | #13063325 | D4 | 1 | 1 | yes | characteristic |
| 61 | #13063325 | D4 | 1 | 1 | yes | characteristic |
| 62 | #13063325 | C23 | 1 | 1 | yes | characteristic |
| 63 | #13063322 | D4 | 1 | 1 | yes | characteristic |
| 64 | #13063322 | D4 | 1 | 1 | yes | characteristic |
| 65 | #13063322 | C23 | 1 | 1 | yes | characteristic |
| 66 | #13063321 | — | 2 | 4 | no | — |
| 67 | #13063314 | — | 2 | 4 | no | — |
| 68 | #13063313 | — | 2 | 1 | no | — |
| 69 | #13063313 | C23 | 1 | 2 | yes | — |
| 70 | #13063313 | C23 | 1 | 2 | yes | — |
| 71 | #13063311 | — | 2 | 4 | no | — |
| 72 | #13063311 | — | 2 | 4 | no | — |
| 73 | #13063300 | — | 2 | 2 | no | — |
| 74 | #13063300 | — | 2 | 2 | no | — |
| 75 | #13063299 | — | 2 | 2 | no | — |
| 76 | #13063299 | — | 2 | 2 | no | — |
| 77 | #13063299 | — | 2 | 1 | no | — |
| 78 | #13063299 | — | 2 | 1 | no | — |
| 79 | #13063299 | — | 2 | 1 | no | — |
| 80 | #13063299 | — | 2 | 1 | no | — |
| 81 | #13063299 | — | 2 | 1 | no | — |
| 82 | #13063299 | — | 2 | 1 | no | — |
| 83 | #13063296 | — | 2 | 2 | no | — |
| 84 | #13063296 | — | 2 | 2 | no | — |
| 85 | #13063295 | — | 2 | 4 | no | — |
| 86 | #13063295 | — | 2 | 4 | no | — |
| 87 | #13063293 | — | 2 | 4 | no | — |
| 88 | #13063293 | — | 2 | 4 | no | — |
| 89 | C4×D172 | — | 2 | 1 | no | — |
| 90 | C4×D172 | — | 2 | 1 | no | — |
| 91 | C4×D172 | — | 2 | 1 | no | — |
| 92 | C4×D172 | — | 2 | 1 | no | — |
| 93 | C4×D172 | — | 2 | 1 | no | — |
| 94 | C4×D172 | — | 2 | 1 | no | — |
| 95 | #13063284 | — | 2 | 2 | no | — |
| 96 | #13063283 | — | 2 | 2 | no | — |
| 97 | #13063283 | — | 2 | 2 | no | — |
| 98 | C4⋊(C43⋊C8) | — | 2 | 1 | no | — |
| 99 | #13063250 | — | 2 | 2 | no | — |
| 100 | #13063249 | — | 2 | 2 | no | — |
| 101 | #13063247 | — | 2 | 2 | no | — |
| 102 | #13063246 | — | 2 | 2 | no | — |
| 103 | C22⋊(C43⋊C8) | — | 2 | 1 | no | — |
| 104 | #13063236 | C23 | 1 | 2 | yes | — |
| 105 | C2×#41×C43 | D4 | 1 | 2 | yes | — |
| 106 | C22×C8×C43 | — | 2 | 1 | no | — |
| 107 | C4⋊Q8×C43 | D4 | 1 | 1 | yes | characteristic |
| 108 | #127×C43 | D4 | 1 | 1 | yes | characteristic |
| 109 | #124×C43 | C23 | 1 | 2 | yes | — |
| 110 | #121×C43 | — | 2 | 1 | no | — |
| 111 | #121×C43 | — | 2 | 1 | no | — |
| 112 | C4×D4×C43 | — | 2 | 1 | no | — |
| 113 | C4×D4×C43 | — | 2 | 1 | no | — |
| 114 | C2×C42×C43 | C23 | 1 | 1 | yes | characteristic |
| 115 | C4⋊C8×C43 | — | 2 | 1 | no | — |
| 116 | C22⋊C8×C43 | — | 2 | 1 | no | — |
| 117 | #97×C43 | — | 2 | 1 | no | — |
| 118 | #97×C43 | C23 | 1 | 2 | yes | — |
| 119 | #97×C43 | C23 | 1 | 2 | yes | — |
| 120 | C23×D43 | — | 2 | 4 | no | — |
| 121 | #41×C43 | — | 8 | 2 | no | — |
| 122 | C2×Q8×C43 | C2×D4 | 1 | 2 | yes | — |
| 123 | C2×D4×C43 | — | 2 | 1 | no | — |
| 124 | C2×D4×C43 | — | 2 | 1 | no | — |
| 125 | C2×D4×C43 | — | 2 | 2 | no | — |
| 126 | C2×D4×C43 | C2×D4 | 1 | 2 | yes | — |
| 127 | C22×C4×C43 | — | 2 | 2 | no | — |
| 128 | C22×C4×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 129 | C22×C4×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 130 | C22×C4×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 131 | C2×C22⋊D43 | — | 2 | 4 | no | — |
| 132 | C2×C22⋊D43 | — | 2 | 4 | no | — |
| 133 | C2×C22⋊D43 | — | 2 | 2 | no | — |
| 134 | C2×C22⋊D43 | — | 2 | 2 | no | — |
| 135 | C2×C22⋊D43 | — | 4 | 1 | no | — |
| 136 | D4×D43 | — | 8 | 4 | no | — |
| 137 | D4×D43 | — | 8 | 4 | no | — |
| 138 | #10621898 | — | 4 | 4 | no | — |
| 139 | #10621898 | — | 4 | 4 | no | — |
| 140 | #10621898 | — | 8 | 2 | no | — |
| 141 | C2×D172 | — | 2 | 1 | no | — |
| 142 | C2×D172 | — | 2 | 1 | no | — |
| 143 | C2×D172 | — | 2 | 1 | no | — |
| 144 | C2×D172 | — | 2 | 1 | no | — |
| 145 | C2×D172 | — | 2 | 4 | no | — |
| 146 | C2×D172 | — | 2 | 1 | no | — |
| 147 | C2×D172 | — | 2 | 1 | no | — |
| 148 | C2×D172 | — | 2 | 1 | no | — |
| 149 | C2×D172 | — | 8 | 4 | no | — |
| 150 | C2×D172 | C2×D4 | 1 | 2 | yes | — |
| 151 | C2×D172 | C2×D4 | 1 | 2 | yes | — |
| 152 | C2×C4×D43 | — | 2 | 2 | no | — |
| 153 | C2×C4×D43 | — | 2 | 2 | no | — |
| 154 | C2×C4×D43 | — | 4 | 1 | no | — |
| 155 | C2×Dic86 | — | 2 | 1 | no | — |
| 156 | C2×Dic86 | C2×D4 | 1 | 2 | yes | — |
| 157 | C2×Dic86 | C2×D4 | 1 | 2 | yes | — |
| 158 | C2×C8×C43 | — | 2 | 4 | no | — |
| 159 | C2×C8×C43 | — | 2 | 2 | no | — |
| 160 | C2×C8×C43 | — | 2 | 2 | no | — |
| 161 | C4⋊C4×C43 | — | 2 | 1 | no | — |
| 162 | C4⋊C4×C43 | — | 2 | 1 | no | — |
| 163 | C22⋊C4×C43 | — | 2 | 2 | no | — |
| 164 | C22⋊C4×C43 | — | 2 | 2 | no | — |
| 165 | C42×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 166 | C42×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 167 | C42×C43 | C2×D4 | 1 | 1 | yes | characteristic |
| 168 | C42×C43 | C24 | 1 | 1 | yes | characteristic |
| 169 | C22⋊Dic43 | — | 2 | 4 | no | — |
| 170 | #10621884 | — | 8 | 2 | no | — |
| 171 | #10621882 | — | 8 | 2 | no | — |
| 172 | (C2×D43)⋊C4 | — | 2 | 4 | no | — |
| 173 | (C2×D43)⋊C4 | — | 2 | 4 | no | — |
| 174 | (C2×D43)⋊C4 | — | 2 | 2 | no | — |
| 175 | (C2×D43)⋊C4 | — | 2 | 2 | no | — |
| 176 | (C2×D43)⋊C4 | — | 2 | 2 | no | — |
| 177 | (C2×D43)⋊C4 | — | 2 | 2 | no | — |
| 178 | (C2×D43)⋊C4 | — | 4 | 1 | no | — |
| 179 | (C2×D43)⋊C4 | — | 4 | 1 | no | — |
| 180 | C4⋊Dic43 | — | 2 | 1 | no | — |
| 181 | C4⋊Dic43 | — | 2 | 1 | no | — |
| 182 | C4⋊Dic43 | — | 2 | 1 | no | — |
| 183 | C4⋊Dic43 | — | 2 | 1 | no | — |
| 184 | C4⋊Dic43 | — | 2 | 1 | no | — |
| 185 | C4⋊Dic43 | — | 2 | 1 | no | — |
| 186 | C4×Dic43 | — | 2 | 4 | no | — |
| 187 | C2×C43⋊C8 | — | 2 | 2 | no | — |
| 188 | Dic172 | — | 4 | 4 | no | — |
| 189 | D344 | — | 4 | 4 | no | — |
| 190 | D344 | — | 8 | 2 | no | — |
| 191 | #10621873 | — | 4 | 4 | no | — |
| 192 | #10621873 | — | 4 | 4 | no | — |
| 193 | #10621873 | — | 8 | 2 | no | — |
| 194 | C23×C43 | — | 2 | 2 | no | — |
| 195 | C23×C43 | #120 | 1 | 1 | yes | characteristic |
| 196 | C22×D43 | — | 2 | 2 | no | — |
| 197 | C22×D43 | — | 2 | 2 | no | — |
| 198 | C22×D43 | — | 4 | 1 | no | — |
| 199 | C22×D43 | — | 8 | 4 | no | — |
| 200 | C22×D43 | — | 8 | 4 | no | — |
| 201 | C22×D43 | — | 8 | 4 | no | — |
| 202 | Q8×C43 | — | 4 | 2 | no | — |
| 203 | D4×C43 | — | 4 | 2 | no | — |
| 204 | D4×C43 | — | 4 | 2 | no | — |
| 205 | D4×C43 | — | 4 | 2 | no | — |
| 206 | D4×C43 | — | 8 | 2 | no | — |
| 207 | C2×C4×C43 | — | 2 | 2 | no | — |
| 208 | C2×C4×C43 | — | 2 | 2 | no | — |
| 209 | C2×C4×C43 | — | 4 | 1 | no | — |
| 210 | C2×C4×C43 | — | 4 | 1 | no | — |
| 211 | C2×C4×C43 | — | 4 | 4 | no | — |
| 212 | C2×C4×C43 | #120 | 1 | 1 | yes | characteristic |
| 213 | C2×C4×C43 | #120 | 1 | 1 | yes | characteristic |
| 214 | C2×C4×C43 | #120 | 1 | 1 | yes | characteristic |
| 215 | C2×C4×C43 | C22×D4 | 1 | 1 | yes | characteristic |
| 216 | C2×C4×C43 | C22×D4 | 1 | 1 | yes | characteristic |
| 217 | C2×C4×C43 | C22×D4 | 1 | 1 | yes | characteristic |
| 218 | C22⋊D43 | — | 8 | 2 | no | — |
| 219 | C22⋊D43 | — | 8 | 2 | no | — |
| 220 | C22⋊D43 | — | 8 | 4 | no | — |
| 221 | C22⋊D43 | — | 8 | 4 | no | — |
| 222 | C22⋊D43 | — | 8 | 2 | no | — |
| 223 | C2×Dic43 | — | 2 | 2 | no | — |
| 224 | C2×Dic43 | — | 2 | 2 | no | — |
| 225 | C2×Dic43 | — | 4 | 1 | no | — |
| 226 | D172 | — | 4 | 2 | no | — |
| 227 | D172 | — | 4 | 2 | no | — |
| 228 | D172 | — | 4 | 2 | no | — |
| 229 | D172 | — | 4 | 2 | no | — |
| 230 | D172 | — | 4 | 2 | no | — |
| 231 | D172 | — | 4 | 2 | no | — |
| 232 | D172 | — | 4 | 1 | no | — |
| 233 | D172 | — | 4 | 1 | no | — |
| 234 | D172 | — | 4 | 1 | no | — |
| 235 | D172 | — | 4 | 1 | no | — |
| 236 | D172 | — | 4 | 2 | no | — |
| 237 | D172 | — | 8 | 4 | no | — |
| 238 | C4×D43 | — | 4 | 4 | no | — |
| 239 | C4×D43 | — | 4 | 4 | no | — |
| 240 | C4×D43 | — | 8 | 2 | no | — |
| 241 | Dic86 | — | 4 | 2 | no | — |
| 242 | Dic86 | — | 4 | 2 | no | — |
| 243 | Dic86 | — | 4 | 2 | no | — |
| 244 | C8×C43 | — | 2 | 4 | no | — |
| 245 | C8×C43 | — | 4 | 2 | no | — |
| 246 | C43⋊C8 | — | 4 | 2 | no | — |
| 247 | #19052 | — | 43 | 1 | no | maximal, Sylow |
| 248 | C22×C43 | — | 2 | 1 | no | — |
| 249 | C22×C43 | — | 2 | 1 | no | — |
| 250 | C22×C43 | — | 2 | 1 | no | — |
| 251 | C22×C43 | — | 4 | 2 | no | — |
| 252 | C22×C43 | — | 4 | 2 | no | — |
| 253 | C22×C43 | — | 4 | 2 | no | — |
| 254 | C22×C43 | C2×#120 | 1 | 1 | yes | characteristic |
| 255 | C2×D43 | — | 4 | 2 | no | — |
| 256 | C2×D43 | — | 4 | 2 | no | — |
| 257 | C2×D43 | — | 4 | 2 | no | — |
| 258 | C2×D43 | — | 4 | 2 | no | — |
| 259 | C2×D43 | — | 4 | 2 | no | — |
| 260 | C2×D43 | — | 4 | 2 | no | — |
| 261 | C2×D43 | — | 8 | 1 | no | — |
| 262 | C2×D43 | — | 8 | 1 | no | — |
| 263 | C2×D43 | — | 8 | 1 | no | — |
| 264 | C2×D43 | — | 16 | 8 | no | — |
| 265 | C4×C43 | — | 2 | 1 | no | — |
| 266 | C4×C43 | — | 2 | 1 | no | — |
| 267 | C4×C43 | — | 2 | 1 | no | — |
| 268 | C4×C43 | — | 2 | 1 | no | — |
| 269 | C4×C43 | — | 2 | 1 | no | — |
| 270 | C4×C43 | — | 4 | 2 | no | — |
| 271 | C4×C43 | #453 | 1 | 2 | yes | — |
| 272 | Dic43 | — | 4 | 2 | no | — |
| 273 | Dic43 | — | 4 | 2 | no | — |
| 274 | Dic43 | — | 8 | 1 | no | — |
| 275 | #3549 | — | 43 | 1 | no | — |
| 276 | #3214 | — | 43 | 1 | no | — |
| 277 | #3214 | — | 43 | 1 | no | — |
| 278 | #3150 | — | 43 | 1 | no | — |
| 279 | #1659 | — | 43 | 4 | no | — |
| 280 | #1655 | — | 43 | 4 | no | — |
| 281 | #1536 | — | 43 | 1 | no | — |
| 282 | #1530 | — | 43 | 1 | no | — |
| 283 | #1530 | D43 | 1 | 1 | yes | characteristic, complemented |
| 284 | C2×C43 | — | 4 | 1 | no | — |
| 285 | C2×C43 | — | 8 | 2 | no | — |
| 286 | C2×C43 | C2×#453 | 1 | 1 | yes | characteristic |
| 287 | C2×C43 | #3019 | 1 | 1 | yes | characteristic |
| 288 | C2×C43 | #3019 | 1 | 1 | yes | characteristic |
| 289 | D43 | — | 8 | 2 | no | — |
| 290 | D43 | — | 8 | 2 | no | — |
| 291 | D43 | — | 16 | 1 | no | — |
| 292 | C2×#135 | — | 86 | 2 | no | — |
| 293 | H(3,𝔽4) | — | 43 | 4 | no | — |
| 294 | #555 | — | 86 | 1 | no | — |
| 295 | #555 | — | 86 | 1 | no | — |
| 296 | #555 | — | 86 | 1 | no | — |
| 297 | D42 | — | 86 | 1 | no | — |
| 298 | D42 | — | 86 | 1 | no | — |
| 299 | D42 | — | 86 | 1 | no | — |
| 300 | #535 | — | 86 | 2 | no | — |
| 301 | #535 | — | 86 | 2 | no | — |
| 302 | #535 | — | 86 | 2 | no | — |
| 303 | #532 | — | 43 | 1 | no | — |
| 304 | #532 | — | 43 | 1 | no | — |
| 305 | #532 | — | 43 | 1 | no | — |
| 306 | #532 | C2×D43 | 1 | 1 | yes | characteristic |
| 307 | #497 | — | 43 | 2 | no | — |
| 308 | #497 | — | 86 | 1 | no | — |
| 309 | #496 | — | 43 | 2 | no | — |
| 310 | #496 | — | 43 | 2 | no | — |
| 311 | #496 | — | 43 | 2 | no | — |
| 312 | #496 | — | 86 | 1 | no | — |
| 313 | #489 | — | 43 | 2 | no | — |
| 314 | #489 | — | 43 | 2 | no | — |
| 315 | #461 | — | 86 | 1 | no | — |
| 316 | #461 | — | 86 | 1 | no | — |
| 317 | #459 | — | 86 | 1 | no | — |
| 318 | #459 | — | 86 | 1 | no | — |
| 319 | #449 | — | 86 | 2 | no | — |
| 320 | #449 | — | 86 | 2 | no | — |
| 321 | #432 | — | 43 | 1 | no | — |
| 322 | #432 | C2×D43 | 1 | 1 | yes | characteristic, complemented |
| 323 | C2×#97 | C2×D43 | 1 | 1 | yes | characteristic, complemented |
| 324 | #329 | — | 43 | 4 | no | — |
| 325 | #329 | — | 43 | 4 | no | — |
| 326 | #329 | C2×D43 | 1 | 4 | yes | complemented |
| 327 | C43 | #19052 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 328 | C2×#41 | — | 43 | 2 | no | — |
| 329 | C2×#41 | — | 43 | 2 | no | — |
| 330 | C2×#41 | — | 86 | 1 | no | — |
| 331 | C2×#41 | D172 | 1 | 2 | yes | — |
| 332 | C22×D4 | — | 86 | 2 | no | — |
| 333 | C22×D4 | — | 86 | 2 | no | — |
| 334 | C22×D4 | — | 86 | 2 | no | — |
| 335 | #135 | — | 172 | 8 | no | — |
| 336 | C2×Q16 | — | 86 | 2 | no | — |
| 337 | C2×SD16 | — | 86 | 2 | no | — |
| 338 | C2×SD16 | — | 86 | 2 | no | — |
| 339 | C2×SD16 | — | 86 | 2 | no | — |
| 340 | C2×SD16 | — | 86 | 2 | no | — |
| 341 | C2×D8 | — | 86 | 2 | no | — |
| 342 | C2×D8 | — | 86 | 2 | no | — |
| 343 | C2×D8 | — | 86 | 2 | no | — |
| 344 | C22×C8 | — | 2 | 1 | no | — |
| 345 | C4⋊Q8 | — | 43 | 1 | no | — |
| 346 | C4⋊Q8 | — | 43 | 1 | no | — |
| 347 | C4⋊Q8 | — | 43 | 1 | no | — |
| 348 | C4⋊Q8 | D172 | 1 | 1 | yes | characteristic |
| 349 | #127 | — | 43 | 1 | no | — |
| 350 | #127 | — | 43 | 1 | no | — |
| 351 | #127 | — | 43 | 1 | no | — |
| 352 | #127 | — | 86 | 4 | no | — |
| 353 | #127 | D172 | 1 | 1 | yes | characteristic |
| 354 | #124 | — | 43 | 2 | no | — |
| 355 | #124 | — | 43 | 2 | no | — |
| 356 | #124 | — | 86 | 4 | no | — |
| 357 | #124 | — | 86 | 4 | no | — |
| 358 | #124 | — | 86 | 4 | no | — |
| 359 | #124 | — | 86 | 1 | no | — |
| 360 | #124 | C22×D43 | 1 | 2 | yes | — |
| 361 | #121 | — | 2 | 1 | no | — |
| 362 | #121 | — | 2 | 1 | no | — |
| 363 | #121 | — | 86 | 2 | no | — |
| 364 | #121 | — | 86 | 2 | no | — |
| 365 | #121 | — | 86 | 2 | no | — |
| 366 | #121 | — | 86 | 2 | no | — |
| 367 | #121 | — | 86 | 2 | no | — |
| 368 | #121 | — | 86 | 2 | no | — |
| 369 | #121 | — | 86 | 1 | no | — |
| 370 | #121 | — | 86 | 1 | no | — |
| 371 | #121 | — | 86 | 1 | no | — |
| 372 | #121 | — | 86 | 1 | no | — |
| 373 | #121 | — | 86 | 1 | no | — |
| 374 | #121 | — | 86 | 1 | no | — |
| 375 | #120 | — | 86 | 4 | no | — |
| 376 | #120 | — | 86 | 4 | no | — |
| 377 | #120 | — | 86 | 4 | no | — |
| 378 | #120 | — | 86 | 4 | no | — |
| 379 | C4×D4 | — | 2 | 1 | no | — |
| 380 | C4×D4 | — | 2 | 1 | no | — |
| 381 | C4×D4 | — | 86 | 1 | no | — |
| 382 | C4×D4 | — | 86 | 1 | no | — |
| 383 | C4×D4 | — | 86 | 1 | no | — |
| 384 | C4×D4 | — | 86 | 1 | no | — |
| 385 | C4×D4 | — | 86 | 1 | no | — |
| 386 | C4×D4 | — | 86 | 1 | no | — |
| 387 | #117 | — | 86 | 2 | no | — |
| 388 | #117 | — | 86 | 2 | no | — |
| 389 | #117 | — | 86 | 2 | no | — |
| 390 | C2×C42 | C22×D43 | 1 | 1 | yes | characteristic |
| 391 | C4⋊C8 | — | 2 | 1 | no | — |
| 392 | C4⋊C8 | — | 86 | 1 | no | — |
| 393 | #103 | — | 86 | 2 | no | — |
| 394 | #103 | — | 86 | 2 | no | — |
| 395 | #102 | — | 86 | 2 | no | — |
| 396 | #102 | — | 86 | 2 | no | — |
| 397 | C22⋊C8 | — | 2 | 1 | no | — |
| 398 | C22⋊C8 | — | 86 | 1 | no | — |
| 399 | #97 | — | 2 | 1 | no | — |
| 400 | #97 | — | 43 | 2 | no | — |
| 401 | #97 | C22×D43 | 1 | 2 | yes | — |
| 402 | #97 | C22×D43 | 1 | 2 | yes | — |
| 403 | C24 | — | 86 | 4 | no | — |
| 404 | #41 | — | 8 | 2 | no | — |
| 405 | #41 | — | 344 | 2 | no | — |
| 406 | #41 | — | 172 | 4 | no | — |
| 407 | #41 | — | 172 | 4 | no | — |
| 408 | C2×Q8 | — | 43 | 2 | no | — |
| 409 | C2×Q8 | — | 43 | 2 | no | — |
| 410 | C2×Q8 | — | 86 | 1 | no | — |
| 411 | C2×Q8 | C2×D172 | 1 | 2 | yes | — |
| 412 | C2×D4 | — | 2 | 2 | no | — |
| 413 | C2×D4 | — | 2 | 1 | no | — |
| 414 | C2×D4 | — | 2 | 1 | no | — |
| 415 | C2×D4 | — | 43 | 2 | no | — |
| 416 | C2×D4 | — | 43 | 2 | no | — |
| 417 | C2×D4 | — | 86 | 4 | no | — |
| 418 | C2×D4 | — | 86 | 4 | no | — |
| 419 | C2×D4 | — | 86 | 4 | no | — |
| 420 | C2×D4 | — | 86 | 2 | no | — |
| 421 | C2×D4 | — | 86 | 2 | no | — |
| 422 | C2×D4 | — | 86 | 1 | no | — |
| 423 | C2×D4 | — | 86 | 1 | no | — |
| 424 | C2×D4 | — | 86 | 1 | no | — |
| 425 | C2×D4 | — | 86 | 1 | no | — |
| 426 | C2×D4 | — | 86 | 1 | no | — |
| 427 | C2×D4 | — | 86 | 1 | no | — |
| 428 | C2×D4 | — | 86 | 1 | no | — |
| 429 | C2×D4 | — | 344 | 4 | no | — |
| 430 | C2×D4 | — | 344 | 4 | no | — |
| 431 | C2×D4 | — | 344 | 4 | no | — |
| 432 | C2×D4 | — | 172 | 1 | no | — |
| 433 | C2×D4 | C2×D172 | 1 | 2 | yes | — |
| 434 | C22×C4 | — | 2 | 2 | no | — |
| 435 | C22×C4 | — | 86 | 2 | no | — |
| 436 | C22×C4 | — | 86 | 2 | no | — |
| 437 | C22×C4 | — | 172 | 1 | no | — |
| 438 | C22×C4 | C2×D172 | 1 | 1 | yes | characteristic |
| 439 | C22×C4 | D4×D43 | 1 | 1 | yes | characteristic |
| 440 | C22×C4 | D4×D43 | 1 | 1 | yes | characteristic |
| 441 | Q16 | — | 172 | 4 | no | — |
| 442 | SD16 | — | 344 | 2 | no | — |
| 443 | SD16 | — | 344 | 2 | no | — |
| 444 | SD16 | — | 172 | 4 | no | — |
| 445 | SD16 | — | 172 | 4 | no | — |
| 446 | D8 | — | 344 | 2 | no | — |
| 447 | D8 | — | 344 | 2 | no | — |
| 448 | D8 | — | 172 | 4 | no | — |
| 449 | C2×C8 | — | 2 | 4 | no | — |
| 450 | C2×C8 | — | 2 | 2 | no | — |
| 451 | C2×C8 | — | 2 | 2 | no | — |
| 452 | C2×C8 | — | 86 | 2 | no | — |
| 453 | C4⋊C4 | — | 2 | 1 | no | — |
| 454 | C4⋊C4 | — | 2 | 1 | no | — |
| 455 | C4⋊C4 | — | 86 | 1 | no | — |
| 456 | C4⋊C4 | — | 86 | 1 | no | — |
| 457 | C4⋊C4 | — | 86 | 1 | no | — |
| 458 | C4⋊C4 | — | 86 | 1 | no | — |
| 459 | C4⋊C4 | — | 86 | 1 | no | — |
| 460 | C4⋊C4 | — | 86 | 1 | no | — |
| 461 | C22⋊C4 | — | 2 | 2 | no | — |
| 462 | C22⋊C4 | — | 2 | 2 | no | — |
| 463 | C22⋊C4 | — | 86 | 4 | no | — |
| 464 | C22⋊C4 | — | 86 | 4 | no | — |
| 465 | C22⋊C4 | — | 86 | 4 | no | — |
| 466 | C22⋊C4 | — | 86 | 2 | no | — |
| 467 | C22⋊C4 | — | 86 | 2 | no | — |
| 468 | C22⋊C4 | — | 86 | 2 | no | — |
| 469 | C22⋊C4 | — | 86 | 2 | no | — |
| 470 | C22⋊C4 | — | 172 | 1 | no | — |
| 471 | C22⋊C4 | — | 172 | 1 | no | — |
| 472 | C42 | — | 86 | 4 | no | — |
| 473 | C42 | C2×D172 | 1 | 1 | yes | characteristic |
| 474 | C42 | D4×D43 | 1 | 1 | yes | characteristic |
| 475 | C42 | D4×D43 | 1 | 1 | yes | characteristic |
| 476 | C42 | C23×D43 | 1 | 1 | yes | characteristic |
| 477 | C23 | — | 2 | 2 | no | — |
| 478 | C23 | — | 86 | 2 | no | — |
| 479 | C23 | — | 86 | 2 | no | — |
| 480 | C23 | — | 344 | 4 | no | — |
| 481 | C23 | — | 344 | 4 | no | — |
| 482 | C23 | — | 344 | 4 | no | — |
| 483 | C23 | — | 172 | 1 | no | — |
| 484 | C23 | #13063295 | 1 | 1 | yes | characteristic |
| 485 | Q8 | — | 4 | 2 | no | — |
| 486 | Q8 | — | 172 | 2 | no | — |
| 487 | Q8 | — | 172 | 2 | no | — |
| 488 | Q8 | — | 172 | 2 | no | — |
| 489 | D4 | — | 4 | 2 | no | — |
| 490 | D4 | — | 4 | 2 | no | — |
| 491 | D4 | — | 4 | 2 | no | — |
| 492 | D4 | — | 8 | 2 | no | — |
| 493 | D4 | — | 344 | 4 | no | — |
| 494 | D4 | — | 344 | 2 | no | — |
| 495 | D4 | — | 344 | 2 | no | — |
| 496 | D4 | — | 344 | 2 | no | — |
| 497 | D4 | — | 344 | 4 | no | — |
| 498 | D4 | — | 344 | 4 | no | — |
| 499 | D4 | — | 172 | 1 | no | — |
| 500 | D4 | — | 172 | 1 | no | — |
| 501 | D4 | — | 172 | 2 | no | — |
| 502 | D4 | — | 172 | 1 | no | — |
| 503 | D4 | — | 172 | 1 | no | — |
| 504 | D4 | — | 172 | 2 | no | — |
| 505 | D4 | — | 172 | 2 | no | — |
| 506 | D4 | — | 172 | 2 | no | — |
| 507 | D4 | — | 172 | 2 | no | — |
| 508 | D4 | — | 172 | 2 | no | — |
| 509 | D4 | — | 172 | 2 | no | — |
| 510 | C2×C4 | — | 2 | 2 | no | — |
| 511 | C2×C4 | — | 2 | 2 | no | — |
| 512 | C2×C4 | — | 4 | 1 | no | — |
| 513 | C2×C4 | — | 4 | 1 | no | — |
| 514 | C2×C4 | — | 4 | 4 | no | — |
| 515 | C2×C4 | — | 86 | 2 | no | — |
| 516 | C2×C4 | — | 86 | 2 | no | — |
| 517 | C2×C4 | — | 344 | 2 | no | — |
| 518 | C2×C4 | — | 172 | 4 | no | — |
| 519 | C2×C4 | — | 172 | 1 | no | — |
| 520 | C2×C4 | — | 172 | 4 | no | — |
| 521 | C2×C4 | #13063295 | 1 | 1 | yes | characteristic |
| 522 | C2×C4 | #13063295 | 1 | 1 | yes | characteristic |
| 523 | C2×C4 | #13063295 | 1 | 1 | yes | characteristic |
| 524 | C2×C4 | C2×D4×D43 | 1 | 1 | yes | characteristic |
| 525 | C2×C4 | C2×D4×D43 | 1 | 1 | yes | characteristic |
| 526 | C2×C4 | C22×D172 | 1 | 1 | yes | characteristic |
| 527 | C8 | — | 2 | 4 | no | — |
| 528 | C8 | — | 4 | 2 | no | — |
| 529 | C8 | — | 172 | 2 | no | — |
| 530 | C22 | — | 2 | 1 | no | — |
| 531 | C22 | — | 2 | 1 | no | — |
| 532 | C22 | — | 2 | 1 | no | — |
| 533 | C22 | — | 4 | 2 | no | — |
| 534 | C22 | — | 4 | 2 | no | — |
| 535 | C22 | — | 4 | 2 | no | — |
| 536 | C22 | — | 344 | 1 | no | — |
| 537 | C22 | — | 344 | 1 | no | — |
| 538 | C22 | — | 344 | 1 | no | — |
| 539 | C22 | — | 172 | 2 | no | — |
| 540 | C22 | — | 172 | 2 | no | — |
| 541 | C22 | — | 172 | 2 | no | — |
| 542 | C22 | — | 172 | 2 | no | — |
| 543 | C22 | — | 172 | 2 | no | — |
| 544 | C22 | — | 172 | 2 | no | — |
| 545 | C22 | — | 688 | 8 | no | — |
| 546 | C22 | C2×#13063295 | 1 | 1 | yes | characteristic |
| 547 | C4 | — | 2 | 1 | no | — |
| 548 | C4 | — | 2 | 1 | no | — |
| 549 | C4 | — | 2 | 1 | no | — |
| 550 | C4 | — | 2 | 1 | no | — |
| 551 | C4 | — | 2 | 1 | no | — |
| 552 | C4 | — | 4 | 2 | no | — |
| 553 | C4 | — | 344 | 1 | no | — |
| 554 | C4 | — | 172 | 2 | no | — |
| 555 | C4 | — | 172 | 2 | no | — |
| 556 | C4 | #14583068 | 1 | 2 | yes | — |
| 557 | C2 | — | 4 | 1 | no | — |
| 558 | C2 | — | 8 | 2 | no | — |
| 559 | C2 | — | 344 | 2 | no | — |
| 560 | C2 | — | 344 | 2 | no | — |
| 561 | C2 | — | 688 | 1 | no | — |
| 562 | C2 | C2×#14583068 | 1 | 1 | yes | characteristic |
| 563 | C2 | #19143954 | 1 | 1 | yes | characteristic |
| 564 | C2 | #19143955 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #19149000 | C2 | semidirect |
| 2. #19145592 | C2 | semidirect |
| 3. #19145590 | C2 | semidirect |
| 4. #19145041 | C2 | semidirect |
| 5. #19133903 | C2 | semidirect |
| 6. #19133885 | C2 | semidirect |
| 7. #19133229 | C2 | semidirect |
| 8. #19133205 | C2 | semidirect |
| 9. C43×#1530 | C2 | semidirect |
| 23. #14583449 | C22 | semidirect |
| 25. #14583293 | C22 | semidirect |
| 26. #14583289 | C22 | semidirect |
| 28. #14583288 | C22 | semidirect |
| 29. #14583288 | C22 | semidirect |
| 30. #14583259 | C22 | semidirect |
| 31. #14583258 | C22 | semidirect |
| 38. #14582956 | C22 | semidirect |
| 39. #14582638 | C22 | semidirect |
| 40. #14582638 | C22 | semidirect |
| 42. C43×#432 | C22 | semidirect |
| 43. C2×#97×C43 | C22 | semidirect |
| 44. C43×#329 | C22 | semidirect |
| 283. #1530 | D43 | semidirect |
| 322. #432 | C2×D43 | semidirect |
| 323. C2×#97 | C2×D43 | semidirect |
| 326. #329 | C2×D43 | semidirect |
| 327. C43 | #19052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149000 | 2 |
| #19145592 | 2 |
| #19145590 | 2 |
| #19145041 | 2 |
| #19133903 | 2 |
| #19133885 | 2 |
| #19133229 | 2 |
| #19133205 | 2 |
| C43×#1530 | 2 |
| #19052 | 43 |