Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
498 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 56 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 | #13131110 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13130292 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13129960 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #13129959 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #13124188 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #11719652 | C4 | 1 | 1 | yes | characteristic, complemented |
| 7 | #11719482 | — | 2 | 1 | no | — |
| 8 | #11719430 | C22 | 1 | 1 | yes | characteristic |
| 9 | #11719156 | — | 2 | 1 | no | — |
| 10 | C4×#6118 | — | 2 | 1 | no | — |
| 11 | C13×#456 | C4 | 1 | 1 | yes | characteristic, complemented |
| 12 | #11718906 | C22 | 1 | 1 | yes | characteristic |
| 13 | #11718863 | — | 2 | 1 | no | — |
| 14 | #11718756 | C4 | 1 | 1 | yes | characteristic, complemented |
| 15 | #11718483 | — | 2 | 1 | no | — |
| 16 | D13×#104 | — | 2 | 1 | no | — |
| 17 | #11718414 | C22 | 1 | 1 | yes | characteristic |
| 18 | #11718412 | C4 | 1 | 1 | yes | characteristic, complemented |
| 19 | #11718300 | C22 | 1 | 2 | yes | complemented |
| 20 | #11718299 | — | 2 | 1 | no | — |
| 21 | #11718299 | C22 | 1 | 2 | yes | complemented |
| 22 | #11718225 | — | 2 | 1 | no | — |
| 23 | C13×2−1+4 | C2×C4 | 1 | 1 | yes | characteristic |
| 24 | #88256 | — | 2 | 1 | no | — |
| 25 | #88256 | — | 4 | 1 | no | — |
| 26 | #88256 | — | 4 | 1 | no | — |
| 27 | #41×D13 | — | 2 | 1 | no | — |
| 28 | #41×D13 | — | 4 | 1 | no | — |
| 29 | #41×D13 | — | 4 | 1 | no | — |
| 30 | #88254 | — | 4 | 1 | no | — |
| 31 | #88254 | C2×C4 | 1 | 1 | yes | characteristic |
| 32 | C2×#6131 | — | 4 | 1 | no | — |
| 33 | C2×#6131 | C2×C4 | 1 | 1 | yes | characteristic |
| 34 | C2×#6131 | D4 | 1 | 1 | yes | characteristic |
| 35 | #88237 | — | 4 | 1 | no | — |
| 36 | C2×#6118 | — | 4 | 1 | no | — |
| 37 | C13×#137 | — | 2 | 1 | no | — |
| 38 | C13×C4⋊Q8 | C2×C4 | 1 | 1 | yes | characteristic |
| 39 | #88203 | — | 2 | 1 | no | — |
| 40 | #88201 | D4 | 1 | 1 | yes | characteristic |
| 41 | #88201 | C23 | 1 | 1 | yes | characteristic |
| 42 | #88196 | — | 2 | 1 | no | — |
| 43 | #88173 | — | 4 | 1 | no | — |
| 44 | #88172 | — | 4 | 1 | no | — |
| 45 | #88170 | — | 4 | 1 | no | — |
| 46 | #88168 | — | 4 | 1 | no | — |
| 47 | #88162 | — | 2 | 1 | no | — |
| 48 | M16×D13 | — | 2 | 1 | no | — |
| 49 | #88149 | — | 4 | 1 | no | — |
| 50 | #88147 | — | 4 | 1 | no | — |
| 51 | #88128 | D4 | 1 | 1 | yes | characteristic |
| 52 | C42×D13 | D4 | 1 | 1 | yes | characteristic |
| 53 | #88110 | — | 2 | 2 | no | — |
| 54 | C4×#1057 | — | 4 | 1 | no | — |
| 55 | #88107 | — | 2 | 2 | no | — |
| 56 | #88107 | — | 4 | 1 | no | — |
| 57 | C13×#104 | — | 2 | 1 | no | — |
| 58 | C13×#101 | C2×C4 | 1 | 1 | yes | characteristic |
| 59 | #88077 | — | 2 | 1 | no | — |
| 60 | #88076 | C2×C4 | 1 | 1 | yes | characteristic |
| 61 | #88065 | — | 2 | 1 | no | — |
| 62 | #88063 | — | 2 | 1 | no | — |
| 63 | #88045 | — | 2 | 1 | no | — |
| 64 | #13568 | — | 13 | 1 | no | maximal, Sylow |
| 65 | C13×#41 | — | 2 | 1 | no | — |
| 66 | C13×#41 | — | 4 | 1 | no | — |
| 67 | C13×#41 | — | 4 | 1 | no | — |
| 68 | C2×Q8×C13 | — | 4 | 1 | no | — |
| 69 | C2×Q8×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 70 | C2×Q8×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 71 | #6131 | — | 2 | 1 | no | — |
| 72 | #6131 | — | 4 | 1 | no | — |
| 73 | #6131 | — | 4 | 1 | no | — |
| 74 | #6131 | — | 4 | 1 | no | — |
| 75 | #6131 | — | 4 | 1 | no | — |
| 76 | #6131 | — | 4 | 1 | no | — |
| 77 | #6131 | — | 4 | 1 | no | — |
| 78 | #6131 | — | 4 | 2 | no | — |
| 79 | #6131 | — | 4 | 1 | no | — |
| 80 | Q8×D13 | — | 2 | 1 | no | — |
| 81 | Q8×D13 | — | 4 | 1 | no | — |
| 82 | Q8×D13 | — | 4 | 1 | no | — |
| 83 | #6129 | — | 2 | 1 | no | — |
| 84 | #6129 | — | 4 | 1 | no | — |
| 85 | #6129 | — | 4 | 1 | no | — |
| 86 | D4×D13 | — | 2 | 1 | no | — |
| 87 | D4×D13 | — | 4 | 1 | no | — |
| 88 | D4×D13 | — | 4 | 2 | no | — |
| 89 | D4×D13 | — | 4 | 2 | no | — |
| 90 | D4×D13 | — | 4 | 1 | no | — |
| 91 | D4×D13 | — | 4 | 1 | no | — |
| 92 | #6127 | — | 2 | 1 | no | — |
| 93 | #6127 | — | 4 | 1 | no | — |
| 94 | #6127 | — | 4 | 1 | no | — |
| 95 | #6127 | — | 4 | 2 | no | — |
| 96 | #6127 | — | 4 | 2 | no | — |
| 97 | #6127 | — | 4 | 1 | no | — |
| 98 | C2×D52 | — | 2 | 1 | no | — |
| 99 | C2×D52 | — | 2 | 1 | no | — |
| 100 | C2×D52 | — | 4 | 1 | no | — |
| 101 | C2×D52 | — | 4 | 2 | no | — |
| 102 | C2×D52 | — | 4 | 1 | no | — |
| 103 | C2×D52 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 104 | C2×D52 | C2×D4 | 1 | 1 | yes | characteristic |
| 105 | C2×C4×D13 | — | 2 | 1 | no | — |
| 106 | C2×C4×D13 | — | 2 | 1 | no | — |
| 107 | C2×C4×D13 | — | 2 | 1 | no | — |
| 108 | C2×C4×D13 | — | 4 | 1 | no | — |
| 109 | C2×C4×D13 | — | 4 | 2 | no | — |
| 110 | C2×C4×D13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 111 | C22⋊#261 | — | 4 | 2 | no | — |
| 112 | C2×#1057 | — | 4 | 2 | no | — |
| 113 | C4⋊#261 | — | 8 | 1 | no | — |
| 114 | C4×#261 | — | 8 | 1 | no | — |
| 115 | #6118 | — | 4 | 4 | no | — |
| 116 | C13×Q16 | — | 4 | 1 | no | — |
| 117 | C13×SD16 | — | 4 | 1 | no | — |
| 118 | C13×M16 | — | 2 | 1 | no | — |
| 119 | C13×C4⋊C4 | — | 4 | 1 | no | — |
| 120 | C42×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 121 | #6107 | — | 4 | 1 | no | — |
| 122 | #6106 | — | 4 | 1 | no | — |
| 123 | #6106 | — | 4 | 1 | no | — |
| 124 | #6104 | — | 4 | 1 | no | — |
| 125 | #6103 | — | 4 | 1 | no | — |
| 126 | #6103 | — | 4 | 1 | no | — |
| 127 | C4×Dic13 | — | 2 | 1 | no | — |
| 128 | C4×Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 129 | #6099 | — | 2 | 1 | no | — |
| 130 | D104 | — | 4 | 1 | no | — |
| 131 | #6095 | — | 4 | 1 | no | — |
| 132 | #6094 | — | 4 | 1 | no | — |
| 133 | C8×D13 | — | 4 | 1 | no | — |
| 134 | #3018 | — | 13 | 1 | no | — |
| 135 | #2126 | — | 13 | 1 | no | — |
| 136 | #1525 | — | 13 | 1 | no | — |
| 137 | #1404 | — | 13 | 2 | no | — |
| 138 | #1404 | — | 13 | 2 | no | — |
| 139 | C22×D13 | — | 2 | 1 | no | — |
| 140 | C22×D13 | — | 2 | 1 | no | — |
| 141 | C22×D13 | — | 4 | 1 | no | — |
| 142 | C22×D13 | — | 4 | 2 | no | — |
| 143 | C22×D13 | #99 | 1 | 1 | yes | characteristic |
| 144 | C2×#261 | — | 8 | 2 | no | — |
| 145 | Q8×C13 | — | 2 | 1 | no | — |
| 146 | Q8×C13 | — | 4 | 1 | no | — |
| 147 | Q8×C13 | — | 4 | 1 | no | — |
| 148 | Q8×C13 | — | 4 | 1 | no | — |
| 149 | D4×C13 | — | 2 | 1 | no | — |
| 150 | D4×C13 | — | 4 | 1 | no | — |
| 151 | D4×C13 | — | 4 | 1 | no | — |
| 152 | C2×C4×C13 | — | 2 | 1 | no | — |
| 153 | C2×C4×C13 | — | 2 | 1 | no | — |
| 154 | C2×C4×C13 | — | 2 | 1 | no | — |
| 155 | C2×C4×C13 | — | 4 | 1 | no | — |
| 156 | C2×C4×C13 | — | 4 | 2 | no | — |
| 157 | C2×C4×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 158 | C22⋊D13 | — | 4 | 1 | no | — |
| 159 | C22⋊D13 | — | 4 | 2 | no | — |
| 160 | C22⋊D13 | — | 4 | 1 | no | — |
| 161 | C22⋊D13 | — | 4 | 1 | no | — |
| 162 | C2×Dic13 | — | 2 | 1 | no | — |
| 163 | C2×Dic13 | — | 4 | 1 | no | — |
| 164 | C2×Dic13 | #99 | 1 | 1 | yes | characteristic |
| 165 | D52 | — | 2 | 1 | no | — |
| 166 | D52 | — | 4 | 1 | no | — |
| 167 | D52 | — | 4 | 1 | no | — |
| 168 | D52 | — | 4 | 2 | no | — |
| 169 | D52 | — | 4 | 1 | no | — |
| 170 | D52 | — | 4 | 2 | no | — |
| 171 | D52 | — | 4 | 1 | no | — |
| 172 | D52 | — | 8 | 2 | no | — |
| 173 | D52 | — | 8 | 1 | no | — |
| 174 | C4×D13 | — | 2 | 1 | no | — |
| 175 | C4×D13 | — | 2 | 1 | no | — |
| 176 | C4×D13 | — | 4 | 2 | no | — |
| 177 | C4×D13 | — | 4 | 1 | no | — |
| 178 | C4×D13 | — | 4 | 1 | no | — |
| 179 | C4×D13 | — | 4 | 2 | no | — |
| 180 | C4×D13 | — | 4 | 2 | no | — |
| 181 | C4×D13 | — | 4 | 1 | no | — |
| 182 | C4×D13 | — | 4 | 1 | no | — |
| 183 | C4×D13 | — | 4 | 1 | no | — |
| 184 | C4×D13 | — | 4 | 1 | no | — |
| 185 | C4×D13 | — | 4 | 1 | no | — |
| 186 | Dic26 | — | 2 | 1 | no | — |
| 187 | Dic26 | — | 4 | 1 | no | — |
| 188 | Dic26 | — | 4 | 1 | no | — |
| 189 | #1057 | — | 4 | 4 | no | — |
| 190 | C8×C13 | — | 4 | 1 | no | — |
| 191 | #1055 | — | 4 | 1 | no | — |
| 192 | #585 | — | 13 | 1 | no | — |
| 193 | #575 | — | 26 | 1 | no | — |
| 194 | #532 | — | 13 | 1 | no | — |
| 195 | #456 | — | 13 | 1 | no | — |
| 196 | #456 | #261 | 1 | 1 | yes | characteristic, complemented |
| 197 | #455 | — | 26 | 1 | no | — |
| 198 | #454 | — | 13 | 1 | no | — |
| 199 | #454 | — | 13 | 1 | no | — |
| 200 | #453 | — | 26 | 1 | no | — |
| 201 | C2×#104 | — | 26 | 1 | no | — |
| 202 | #413 | — | 13 | 1 | no | — |
| 203 | #410 | — | 26 | 1 | no | — |
| 204 | C4×M16 | — | 26 | 1 | no | — |
| 205 | #354 | — | 13 | 2 | no | — |
| 206 | #353 | — | 26 | 1 | no | — |
| 207 | #329 | — | 13 | 2 | no | — |
| 208 | #329 | — | 26 | 1 | no | — |
| 209 | C22×C13 | — | 4 | 1 | no | — |
| 210 | C22×C13 | C2×#99 | 1 | 1 | yes | characteristic |
| 211 | C2×D13 | — | 2 | 1 | no | — |
| 212 | C2×D13 | — | 4 | 1 | no | — |
| 213 | C2×D13 | — | 4 | 1 | no | — |
| 214 | C2×D13 | — | 4 | 1 | no | — |
| 215 | C2×D13 | — | 4 | 1 | no | — |
| 216 | C2×D13 | — | 8 | 1 | no | — |
| 217 | C2×D13 | — | 8 | 1 | no | — |
| 218 | C2×D13 | — | 16 | 1 | no | — |
| 219 | C2×D13 | — | 16 | 2 | no | — |
| 220 | #261 | — | 16 | 2 | no | — |
| 221 | C4×C13 | — | 2 | 2 | no | — |
| 222 | C4×C13 | — | 2 | 1 | no | — |
| 223 | C4×C13 | — | 4 | 1 | no | — |
| 224 | C4×C13 | — | 4 | 1 | no | — |
| 225 | C4×C13 | — | 4 | 1 | no | — |
| 226 | Dic13 | — | 4 | 1 | no | — |
| 227 | Dic13 | — | 4 | 1 | no | — |
| 228 | Dic13 | AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 229 | Dic13 | AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 230 | 2−1+4 | — | 13 | 1 | no | — |
| 231 | 2−1+4 | — | 52 | 1 | no | — |
| 232 | 2−1+4 | C2×#261 | 1 | 1 | yes | characteristic |
| 233 | H(5,𝔽2) | — | 26 | 1 | no | — |
| 234 | H(5,𝔽2) | — | 52 | 1 | no | — |
| 235 | H(5,𝔽2) | — | 52 | 1 | no | — |
| 236 | C2×#41 | — | 13 | 1 | no | — |
| 237 | C2×#41 | — | 13 | 1 | no | — |
| 238 | C2×#41 | — | 26 | 1 | no | — |
| 239 | C2×#41 | — | 52 | 1 | no | — |
| 240 | C2×#41 | — | 52 | 1 | no | — |
| 241 | C2×#41 | — | 52 | 1 | no | — |
| 242 | #137 | — | 2 | 1 | no | — |
| 243 | #137 | — | 26 | 1 | no | — |
| 244 | #137 | — | 52 | 1 | no | — |
| 245 | AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 246 | AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 247 | AGL(1,ℤ/8) | — | 52 | 1 | no | — |
| 248 | #135 | — | 52 | 1 | no | — |
| 249 | #135 | — | 52 | 1 | no | — |
| 250 | C2×M16 | — | 26 | 1 | no | — |
| 251 | C2×M16 | — | 52 | 1 | no | — |
| 252 | C4⋊Q8 | C2×#261 | 1 | 1 | yes | characteristic |
| 253 | #127 | — | 13 | 1 | no | — |
| 254 | #124 | — | 13 | 1 | no | — |
| 255 | #124 | — | 13 | 1 | no | — |
| 256 | #121 | — | 52 | 1 | no | — |
| 257 | C4×D4 | — | 52 | 1 | no | — |
| 258 | #117 | — | 52 | 1 | no | — |
| 259 | C2×C42 | — | 13 | 1 | no | — |
| 260 | #104 | — | 2 | 1 | no | — |
| 261 | #104 | — | 26 | 1 | no | — |
| 262 | #104 | — | 26 | 1 | no | — |
| 263 | #104 | — | 26 | 1 | no | — |
| 264 | #101 | — | 13 | 1 | no | — |
| 265 | #101 | C2×#261 | 1 | 1 | yes | characteristic |
| 266 | #100 | — | 26 | 1 | no | — |
| 267 | #99 | — | 26 | 2 | no | — |
| 268 | #99 | — | 52 | 1 | no | — |
| 269 | #97 | — | 26 | 2 | no | — |
| 270 | C4×C8 | — | 52 | 1 | no | — |
| 271 | C2×C13 | — | 2 | 1 | no | — |
| 272 | C2×C13 | — | 8 | 1 | no | — |
| 273 | C2×C13 | C2×AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 274 | D13 | — | 4 | 1 | no | — |
| 275 | D13 | — | 8 | 1 | no | — |
| 276 | D13 | — | 8 | 1 | no | — |
| 277 | D13 | — | 8 | 1 | no | — |
| 278 | #41 | — | 2 | 1 | no | — |
| 279 | #41 | — | 4 | 1 | no | — |
| 280 | #41 | — | 4 | 1 | no | — |
| 281 | #41 | — | 26 | 1 | no | — |
| 282 | #41 | — | 26 | 1 | no | — |
| 283 | #41 | — | 26 | 1 | no | — |
| 284 | #41 | — | 52 | 1 | no | — |
| 285 | #41 | — | 52 | 1 | no | — |
| 286 | #41 | — | 52 | 1 | no | — |
| 287 | #41 | — | 52 | 2 | no | — |
| 288 | #41 | — | 52 | 2 | no | — |
| 289 | #41 | — | 52 | 1 | no | — |
| 290 | #41 | — | 52 | 1 | no | — |
| 291 | #41 | — | 52 | 1 | no | — |
| 292 | #41 | — | 52 | 1 | no | — |
| 293 | #41 | — | 52 | 1 | no | — |
| 294 | #41 | — | 52 | 1 | no | — |
| 295 | #41 | — | 52 | 1 | no | — |
| 296 | #41 | — | 52 | 2 | no | — |
| 297 | #41 | — | 52 | 1 | no | — |
| 298 | #41 | — | 52 | 1 | no | — |
| 299 | C2×Q8 | — | 4 | 1 | no | — |
| 300 | C2×Q8 | — | 26 | 1 | no | — |
| 301 | C2×Q8 | — | 52 | 1 | no | — |
| 302 | C2×Q8 | — | 52 | 1 | no | — |
| 303 | C2×Q8 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 304 | C2×Q8 | C22×#261 | 1 | 1 | yes | characteristic |
| 305 | C2×D4 | — | 13 | 1 | no | — |
| 306 | C2×D4 | — | 13 | 1 | no | — |
| 307 | C2×D4 | — | 26 | 1 | no | — |
| 308 | C2×D4 | — | 26 | 1 | no | — |
| 309 | C2×D4 | — | 26 | 1 | no | — |
| 310 | C2×D4 | — | 52 | 1 | no | — |
| 311 | C2×D4 | — | 52 | 1 | no | — |
| 312 | C2×D4 | — | 52 | 2 | no | — |
| 313 | C2×D4 | — | 52 | 1 | no | — |
| 314 | C2×D4 | — | 52 | 1 | no | — |
| 315 | C2×D4 | — | 52 | 2 | no | — |
| 316 | C2×D4 | — | 52 | 2 | no | — |
| 317 | C2×D4 | — | 52 | 1 | no | — |
| 318 | C22×C4 | — | 13 | 1 | no | — |
| 319 | C22×C4 | — | 26 | 1 | no | — |
| 320 | C22×C4 | — | 26 | 1 | no | — |
| 321 | C22×C4 | — | 26 | 1 | no | — |
| 322 | C22×C4 | — | 52 | 1 | no | — |
| 323 | C22×C4 | — | 52 | 2 | no | — |
| 324 | Q16 | — | 4 | 1 | no | — |
| 325 | Q16 | — | 52 | 1 | no | — |
| 326 | SD16 | — | 4 | 1 | no | — |
| 327 | SD16 | — | 52 | 1 | no | — |
| 328 | SD16 | — | 52 | 1 | no | — |
| 329 | SD16 | — | 52 | 1 | no | — |
| 330 | D8 | — | 52 | 1 | no | — |
| 331 | D8 | — | 52 | 1 | no | — |
| 332 | M16 | — | 2 | 1 | no | — |
| 333 | M16 | — | 26 | 1 | no | — |
| 334 | M16 | — | 52 | 1 | no | — |
| 335 | M16 | — | 52 | 4 | no | — |
| 336 | C2×C8 | — | 52 | 1 | no | — |
| 337 | C2×C8 | — | 52 | 2 | no | — |
| 338 | C4⋊C4 | — | 4 | 1 | no | — |
| 339 | C4⋊C4 | — | 104 | 1 | no | — |
| 340 | C22⋊C4 | — | 52 | 1 | no | — |
| 341 | C22⋊C4 | — | 52 | 1 | no | — |
| 342 | C22⋊C4 | — | 52 | 2 | no | — |
| 343 | C42 | — | 13 | 1 | no | — |
| 344 | C42 | — | 26 | 1 | no | — |
| 345 | C42 | — | 104 | 1 | no | — |
| 346 | C42 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 347 | C13 | #13568 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 348 | C23 | — | 13 | 1 | no | — |
| 349 | C23 | — | 26 | 1 | no | — |
| 350 | C23 | — | 26 | 1 | no | — |
| 351 | C23 | — | 52 | 1 | no | — |
| 352 | C23 | — | 52 | 2 | no | — |
| 353 | Q8 | — | 2 | 1 | no | — |
| 354 | Q8 | — | 4 | 1 | no | — |
| 355 | Q8 | — | 4 | 1 | no | — |
| 356 | Q8 | — | 4 | 1 | no | — |
| 357 | Q8 | — | 26 | 1 | no | — |
| 358 | Q8 | — | 52 | 1 | no | — |
| 359 | Q8 | — | 52 | 1 | no | — |
| 360 | D4 | — | 2 | 1 | no | — |
| 361 | D4 | — | 4 | 1 | no | — |
| 362 | D4 | — | 4 | 1 | no | — |
| 363 | D4 | — | 26 | 1 | no | — |
| 364 | D4 | — | 52 | 1 | no | — |
| 365 | D4 | — | 52 | 1 | no | — |
| 366 | D4 | — | 52 | 2 | no | — |
| 367 | D4 | — | 52 | 1 | no | — |
| 368 | D4 | — | 52 | 1 | no | — |
| 369 | D4 | — | 52 | 2 | no | — |
| 370 | D4 | — | 52 | 1 | no | — |
| 371 | D4 | — | 52 | 1 | no | — |
| 372 | D4 | — | 52 | 2 | no | — |
| 373 | D4 | — | 52 | 1 | no | — |
| 374 | D4 | — | 104 | 2 | no | — |
| 375 | D4 | — | 104 | 1 | no | — |
| 376 | C2×C4 | — | 2 | 1 | no | — |
| 377 | C2×C4 | — | 2 | 1 | no | — |
| 378 | C2×C4 | — | 2 | 1 | no | — |
| 379 | C2×C4 | — | 4 | 1 | no | — |
| 380 | C2×C4 | — | 4 | 2 | no | — |
| 381 | C2×C4 | — | 13 | 1 | no | — |
| 382 | C2×C4 | — | 26 | 1 | no | — |
| 383 | C2×C4 | — | 26 | 1 | no | — |
| 384 | C2×C4 | — | 26 | 1 | no | — |
| 385 | C2×C4 | — | 52 | 2 | no | — |
| 386 | C2×C4 | — | 52 | 1 | no | — |
| 387 | C2×C4 | — | 52 | 1 | no | — |
| 388 | C2×C4 | — | 52 | 1 | no | — |
| 389 | C2×C4 | — | 52 | 1 | no | — |
| 390 | C2×C4 | — | 52 | 1 | no | — |
| 391 | C2×C4 | — | 52 | 1 | no | — |
| 392 | C2×C4 | — | 52 | 1 | no | — |
| 393 | C2×C4 | — | 52 | 2 | no | — |
| 394 | C2×C4 | — | 52 | 2 | no | — |
| 395 | C2×C4 | — | 52 | 1 | no | — |
| 396 | C2×C4 | — | 104 | 2 | no | — |
| 397 | C2×C4 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 398 | C8 | — | 4 | 1 | no | — |
| 399 | C8 | — | 52 | 1 | no | — |
| 400 | C8 | — | 52 | 4 | no | — |
| 401 | C22 | — | 4 | 1 | no | — |
| 402 | C22 | — | 26 | 1 | no | — |
| 403 | C22 | — | 52 | 1 | no | — |
| 404 | C22 | — | 52 | 1 | no | — |
| 405 | C22 | — | 52 | 1 | no | — |
| 406 | C22 | — | 52 | 1 | no | — |
| 407 | C22 | — | 104 | 1 | no | — |
| 408 | C22 | — | 104 | 1 | no | — |
| 409 | C22 | — | 208 | 1 | no | — |
| 410 | C22 | — | 208 | 2 | no | — |
| 411 | C22 | D13⋊#99 | 1 | 1 | yes | characteristic |
| 412 | C4 | — | 2 | 2 | no | — |
| 413 | C4 | — | 2 | 1 | no | — |
| 414 | C4 | — | 4 | 1 | no | — |
| 415 | C4 | — | 4 | 1 | no | — |
| 416 | C4 | — | 4 | 1 | no | — |
| 417 | C4 | — | 13 | 1 | no | — |
| 418 | C4 | — | 13 | 1 | no | — |
| 419 | C4 | — | 52 | 1 | no | — |
| 420 | C4 | — | 52 | 1 | no | — |
| 421 | C4 | — | 208 | 2 | no | — |
| 422 | C2 | — | 2 | 1 | no | — |
| 423 | C2 | — | 8 | 1 | no | — |
| 424 | C2 | — | 52 | 1 | no | — |
| 425 | C2 | — | 104 | 1 | no | — |
| 426 | C2 | — | 104 | 1 | no | — |
| 427 | C2 | — | 104 | 1 | no | — |
| 428 | C2 | D13⋊AΣL(1,𝔽16) | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13131110 | C2 | semidirect |
| 2. #13130292 | C2 | semidirect |
| 3. #13129960 | C2 | semidirect |
| 4. #13129959 | C2 | semidirect |
| 6. #11719652 | C4 | semidirect |
| 11. C13×#456 | C4 | semidirect |
| 14. #11718756 | C4 | semidirect |
| 18. #11718412 | C4 | semidirect |
| 19. #11718300 | C22 | semidirect |
| 21. #11718299 | C22 | semidirect |
| 196. #456 | #261 | semidirect |
| 347. C13 | #13568 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131110 | 2 |
| #13130292 | 2 |
| #13129960 | 2 |
| #13129959 | 2 |
| #13124188 | 2 |
| #13568 | 13 |