Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
576 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 74 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 | #13131377 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13130976 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13130243 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13130231 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13129738 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13129685 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13125635 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | D13×#121 | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×#88149 | C22 | 1 | 1 | yes | characteristic |
| 10 | #11719151 | — | 2 | 1 | no | — |
| 11 | #11719150 | — | 2 | 1 | no | — |
| 12 | #11719150 | — | 2 | 1 | no | — |
| 13 | #11719136 | C22 | 1 | 1 | yes | characteristic |
| 14 | #11719135 | C22 | 1 | 1 | yes | characteristic |
| 15 | C4×C22⋊#261 | C22 | 1 | 1 | yes | characteristic |
| 16 | #11719126 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#88107 | — | 2 | 1 | no | — |
| 18 | C2×#88107 | — | 2 | 1 | no | — |
| 19 | #11719082 | — | 2 | 1 | no | — |
| 20 | #11719071 | — | 2 | 1 | no | — |
| 21 | #11719070 | — | 2 | 1 | no | — |
| 22 | C13×#481 | C4 | 1 | 1 | yes | characteristic, complemented |
| 23 | #11718697 | C4 | 1 | 1 | yes | characteristic, complemented |
| 24 | #11718629 | C4 | 1 | 1 | yes | characteristic, complemented |
| 25 | #11718526 | — | 2 | 1 | no | — |
| 26 | #11718524 | — | 2 | 1 | no | — |
| 27 | #11718443 | — | 2 | 1 | no | — |
| 28 | #11718434 | — | 2 | 1 | no | — |
| 29 | #11718393 | C4 | 1 | 1 | yes | characteristic, complemented |
| 30 | #11718387 | C22 | 1 | 1 | yes | characteristic |
| 31 | #11718292 | — | 2 | 1 | no | — |
| 32 | #11718240 | — | 2 | 1 | no | — |
| 33 | #11718240 | — | 2 | 1 | no | — |
| 34 | #11718240 | — | 2 | 1 | no | — |
| 35 | C23×#261 | — | 2 | 1 | no | — |
| 36 | C2×D4×D13 | — | 2 | 1 | no | — |
| 37 | C2×D4×D13 | D4 | 1 | 1 | yes | characteristic |
| 38 | C22×D52 | — | 2 | 1 | no | — |
| 39 | C22×D52 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 40 | C22×C4×D13 | C23 | 1 | 1 | yes | characteristic |
| 41 | C2×C22⋊#261 | — | 2 | 1 | no | — |
| 42 | C2×C22⋊#261 | — | 2 | 1 | no | — |
| 43 | C2×C22⋊#261 | — | 2 | 1 | no | — |
| 44 | C2×C22⋊#261 | — | 2 | 1 | no | — |
| 45 | C2×C22⋊#261 | — | 2 | 1 | no | — |
| 46 | C2×C22⋊#261 | D4 | 1 | 1 | yes | characteristic |
| 47 | C2×C22⋊#261 | D4 | 1 | 1 | yes | characteristic |
| 48 | C2×#6122 | — | 2 | 1 | no | — |
| 49 | C2×C4⋊#261 | — | 2 | 1 | no | — |
| 50 | C2×C4⋊#261 | — | 2 | 1 | no | — |
| 51 | C2×C4×#261 | — | 2 | 1 | no | — |
| 52 | C2×C4×#261 | — | 2 | 1 | no | — |
| 53 | C13×#121 | C2×C4 | 1 | 1 | yes | characteristic |
| 54 | C2×C13×C4⋊C4 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 55 | #88193 | — | 2 | 1 | no | — |
| 56 | #88192 | D4 | 1 | 1 | yes | characteristic |
| 57 | C2×#6104 | — | 2 | 1 | no | — |
| 58 | #88184 | C2×C4 | 1 | 1 | yes | characteristic |
| 59 | C2×#6103 | — | 2 | 1 | no | — |
| 60 | C2×D104 | — | 2 | 1 | no | — |
| 61 | C2×#6094 | — | 2 | 1 | no | — |
| 62 | #88149 | — | 2 | 1 | no | — |
| 63 | #88149 | — | 2 | 1 | no | — |
| 64 | #88149 | — | 2 | 1 | no | — |
| 65 | #88149 | — | 2 | 1 | no | — |
| 66 | #88149 | D4 | 1 | 1 | yes | characteristic |
| 67 | C4⋊C4×D13 | D4 | 1 | 1 | yes | characteristic |
| 68 | #88138 | — | 2 | 1 | no | — |
| 69 | C22⋊C4×D13 | — | 2 | 1 | no | — |
| 70 | (C2×#261)⋊C4 | — | 2 | 1 | no | — |
| 71 | (C2×#261)⋊C4 | — | 2 | 1 | no | — |
| 72 | (C2×#261)⋊C4 | — | 2 | 1 | no | — |
| 73 | (C2×#261)⋊C4 | — | 2 | 1 | no | — |
| 74 | (C2×#261)⋊C4 | — | 2 | 1 | no | — |
| 75 | (C2×#261)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 76 | (C2×#261)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 77 | #88111 | — | 2 | 1 | no | — |
| 78 | #88111 | — | 2 | 1 | no | — |
| 79 | #88107 | — | 4 | 2 | no | — |
| 80 | #88107 | — | 4 | 2 | no | — |
| 81 | C13×#106 | — | 2 | 1 | no | — |
| 82 | C13×#102 | — | 2 | 1 | no | — |
| 83 | C13×C22⋊C8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 84 | C22⋊#1055 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 85 | #88061 | — | 2 | 1 | no | — |
| 86 | #88060 | — | 2 | 1 | no | — |
| 87 | #88049 | — | 2 | 1 | no | — |
| 88 | #88049 | — | 2 | 1 | no | — |
| 89 | #88048 | — | 2 | 1 | no | — |
| 90 | #9343 | — | 13 | 1 | no | maximal, Sylow |
| 91 | C23×D13 | — | 2 | 1 | no | — |
| 92 | C23×D13 | — | 2 | 1 | no | — |
| 93 | C23×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 94 | C22×#261 | — | 2 | 1 | no | — |
| 95 | C22×#261 | — | 2 | 1 | no | — |
| 96 | C22×#261 | — | 2 | 1 | no | — |
| 97 | C22×#261 | — | 2 | 1 | no | — |
| 98 | C22×#261 | — | 4 | 1 | no | — |
| 99 | C22×#261 | — | 8 | 1 | no | — |
| 100 | C22×#261 | — | 8 | 1 | no | — |
| 101 | C22×#261 | — | 8 | 1 | no | — |
| 102 | C2×D4×C13 | — | 2 | 1 | no | — |
| 103 | C2×D4×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 104 | C22×C4×C13 | — | 2 | 1 | no | — |
| 105 | C22×C4×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 106 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 107 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 108 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 109 | C22×Dic13 | #41 | 1 | 1 | yes | characteristic |
| 110 | D4×D13 | — | 8 | 1 | no | — |
| 111 | D4×D13 | — | 8 | 1 | no | — |
| 112 | D4×D13 | — | 8 | 1 | no | — |
| 113 | C2×D52 | — | 2 | 1 | no | — |
| 114 | C2×D52 | — | 2 | 1 | no | — |
| 115 | C2×D52 | — | 2 | 1 | no | — |
| 116 | C2×D52 | — | 4 | 1 | no | — |
| 117 | C2×D52 | — | 4 | 1 | no | — |
| 118 | C2×D52 | — | 4 | 1 | no | — |
| 119 | C2×D52 | — | 4 | 1 | no | — |
| 120 | C2×D52 | — | 4 | 1 | no | — |
| 121 | C2×D52 | — | 4 | 1 | no | — |
| 122 | C2×D52 | — | 8 | 1 | no | — |
| 123 | C2×D52 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 124 | C2×C4×D13 | — | 2 | 1 | no | — |
| 125 | C2×C4×D13 | — | 8 | 1 | no | — |
| 126 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 127 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 129 | C2×C4×D13 | #41 | 1 | 1 | yes | characteristic |
| 130 | C22⋊#261 | — | 2 | 2 | no | — |
| 131 | C22⋊#261 | — | 4 | 1 | no | — |
| 132 | C22⋊#261 | — | 4 | 1 | no | — |
| 133 | C22⋊#261 | — | 4 | 1 | no | — |
| 134 | C22⋊#261 | — | 8 | 1 | no | — |
| 135 | C22⋊#261 | — | 8 | 1 | no | — |
| 136 | C22⋊#261 | — | 8 | 1 | no | — |
| 137 | C22⋊#261 | — | 8 | 1 | no | — |
| 138 | #6122 | — | 8 | 1 | no | — |
| 139 | C2×#1057 | — | 4 | 1 | no | — |
| 140 | C4⋊#261 | — | 8 | 1 | no | — |
| 141 | C4⋊#261 | — | 8 | 1 | no | — |
| 142 | C4×#261 | — | 8 | 1 | no | — |
| 143 | C4×#261 | — | 8 | 1 | no | — |
| 144 | C2×C8×C13 | — | 2 | 1 | no | — |
| 145 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 146 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 147 | C13×C4⋊C4 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 148 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 149 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 150 | #6104 | — | 8 | 1 | no | — |
| 151 | #6103 | — | 2 | 1 | no | — |
| 152 | #6103 | — | 2 | 1 | no | — |
| 153 | #6103 | — | 4 | 1 | no | — |
| 154 | #6103 | — | 4 | 1 | no | — |
| 155 | C4⋊Dic13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 156 | #6101 | — | 2 | 1 | no | — |
| 157 | C2×#1055 | — | 2 | 1 | no | — |
| 158 | D104 | — | 8 | 1 | no | — |
| 159 | #6094 | — | 8 | 1 | no | — |
| 160 | #3192 | — | 13 | 1 | no | — |
| 161 | #2377 | — | 13 | 1 | no | — |
| 162 | #1964 | — | 13 | 1 | no | — |
| 163 | #1510 | — | 13 | 1 | no | — |
| 164 | #1507 | — | 13 | 1 | no | — |
| 165 | #1305 | — | 13 | 1 | no | — |
| 166 | #1284 | — | 13 | 1 | no | — |
| 167 | C23×C13 | — | 2 | 1 | no | — |
| 168 | C23×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 169 | C22×D13 | — | 2 | 1 | no | — |
| 170 | C22×D13 | — | 2 | 1 | no | — |
| 171 | C22×D13 | — | 2 | 1 | no | — |
| 172 | C22×D13 | — | 4 | 1 | no | — |
| 173 | C22×D13 | — | 4 | 1 | no | — |
| 174 | C22×D13 | — | 4 | 1 | no | — |
| 175 | C22×D13 | — | 4 | 1 | no | — |
| 176 | C22×D13 | — | 4 | 1 | no | — |
| 177 | C22×D13 | — | 4 | 1 | no | — |
| 178 | C22×D13 | — | 4 | 1 | no | — |
| 179 | C22×D13 | — | 4 | 1 | no | — |
| 180 | C22×D13 | — | 4 | 1 | no | — |
| 181 | C22×D13 | — | 4 | 1 | no | — |
| 182 | C22×D13 | — | 4 | 1 | no | — |
| 183 | C22×D13 | — | 8 | 1 | no | — |
| 184 | C22×D13 | — | 8 | 1 | no | — |
| 185 | C22×D13 | #120 | 1 | 1 | yes | characteristic |
| 186 | C22×D13 | #121 | 1 | 1 | yes | characteristic |
| 187 | C2×#261 | — | 4 | 1 | no | — |
| 188 | C2×#261 | — | 4 | 1 | no | — |
| 189 | C2×#261 | — | 4 | 1 | no | — |
| 190 | C2×#261 | — | 4 | 1 | no | — |
| 191 | C2×#261 | — | 4 | 1 | no | — |
| 192 | C2×#261 | — | 4 | 2 | no | — |
| 193 | C2×#261 | — | 4 | 1 | no | — |
| 194 | C2×#261 | — | 4 | 1 | no | — |
| 195 | C2×#261 | — | 4 | 1 | no | — |
| 196 | C2×#261 | — | 4 | 1 | no | — |
| 197 | C2×#261 | — | 4 | 1 | no | — |
| 198 | C2×#261 | — | 4 | 1 | no | — |
| 199 | C2×#261 | — | 4 | 1 | no | — |
| 200 | C2×#261 | — | 8 | 1 | no | — |
| 201 | C2×#261 | — | 8 | 1 | no | — |
| 202 | C2×#261 | — | 8 | 4 | no | — |
| 203 | D4×C13 | — | 4 | 1 | no | — |
| 204 | D4×C13 | — | 8 | 1 | no | — |
| 205 | C2×C4×C13 | — | 2 | 1 | no | — |
| 206 | C2×C4×C13 | — | 4 | 1 | no | — |
| 207 | C2×C4×C13 | — | 4 | 1 | no | — |
| 208 | C2×C4×C13 | — | 4 | 1 | no | — |
| 209 | C2×C4×C13 | — | 4 | 1 | no | — |
| 210 | C2×C4×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 211 | C2×C4×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 212 | C22⋊D13 | — | 8 | 1 | no | — |
| 213 | C22⋊D13 | — | 8 | 1 | no | — |
| 214 | C22⋊D13 | — | 8 | 1 | no | — |
| 215 | C2×Dic13 | — | 2 | 1 | no | — |
| 216 | C2×Dic13 | — | 4 | 1 | no | — |
| 217 | C2×Dic13 | #121 | 1 | 1 | yes | characteristic |
| 218 | C2×Dic13 | #123 | 1 | 1 | yes | characteristic |
| 219 | D52 | — | 4 | 1 | no | — |
| 220 | D52 | — | 4 | 1 | no | — |
| 221 | D52 | — | 4 | 1 | no | — |
| 222 | D52 | — | 8 | 1 | no | — |
| 223 | D52 | — | 8 | 1 | no | — |
| 224 | D52 | — | 8 | 1 | no | — |
| 225 | D52 | — | 8 | 1 | no | — |
| 226 | D52 | — | 8 | 1 | no | — |
| 227 | D52 | — | 8 | 1 | no | — |
| 228 | C4×D13 | — | 4 | 1 | no | — |
| 229 | C4×D13 | — | 4 | 1 | no | — |
| 230 | C4×D13 | — | 4 | 1 | no | — |
| 231 | C4×D13 | — | 4 | 1 | no | — |
| 232 | C4×D13 | — | 4 | 1 | no | — |
| 233 | C4×D13 | — | 4 | 1 | no | — |
| 234 | #1057 | — | 8 | 1 | no | — |
| 235 | C8×C13 | — | 4 | 1 | no | — |
| 236 | #1055 | — | 4 | 1 | no | — |
| 237 | C2×#121 | — | 13 | 1 | no | — |
| 238 | C2×#121 | — | 13 | 1 | no | — |
| 239 | #481 | — | 13 | 1 | no | — |
| 240 | #481 | — | 26 | 1 | no | — |
| 241 | #481 | #261 | 1 | 1 | yes | characteristic, complemented |
| 242 | #469 | — | 26 | 1 | no | — |
| 243 | #469 | — | 26 | 1 | no | — |
| 244 | #447 | — | 13 | 1 | no | — |
| 245 | #447 | — | 13 | 1 | no | — |
| 246 | #447 | — | 26 | 1 | no | — |
| 247 | C2×#99 | — | 26 | 1 | no | — |
| 248 | C2×#99 | — | 26 | 1 | no | — |
| 249 | #407 | — | 13 | 1 | no | — |
| 250 | #407 | — | 13 | 1 | no | — |
| 251 | #390 | — | 26 | 1 | no | — |
| 252 | #388 | — | 26 | 1 | no | — |
| 253 | #387 | — | 26 | 1 | no | — |
| 254 | #386 | — | 26 | 1 | no | — |
| 255 | #386 | — | 26 | 1 | no | — |
| 256 | #385 | — | 26 | 1 | no | — |
| 257 | #381 | — | 13 | 1 | no | — |
| 258 | #380 | — | 13 | 1 | no | — |
| 259 | C4×C22⋊C4 | — | 13 | 1 | no | — |
| 260 | #327 | — | 26 | 1 | no | — |
| 261 | #327 | — | 26 | 1 | no | — |
| 262 | #327 | — | 26 | 1 | no | — |
| 263 | #327 | — | 26 | 1 | no | — |
| 264 | C22×C13 | — | 2 | 1 | no | — |
| 265 | C22×C13 | — | 2 | 1 | no | — |
| 266 | C22×C13 | — | 2 | 1 | no | — |
| 267 | C22×C13 | — | 4 | 1 | no | — |
| 268 | C22×C13 | — | 4 | 1 | no | — |
| 269 | C22×C13 | — | 4 | 1 | no | — |
| 270 | C22×C13 | #386 | 1 | 1 | yes | characteristic |
| 271 | C2×D13 | — | 2 | 1 | no | — |
| 272 | C2×D13 | — | 2 | 1 | no | — |
| 273 | C2×D13 | — | 2 | 1 | no | — |
| 274 | C2×D13 | — | 2 | 1 | no | — |
| 275 | C2×D13 | — | 2 | 1 | no | — |
| 276 | C2×D13 | — | 4 | 1 | no | — |
| 277 | C2×D13 | — | 4 | 1 | no | — |
| 278 | C2×D13 | — | 4 | 1 | no | — |
| 279 | C2×D13 | — | 8 | 1 | no | — |
| 280 | C2×D13 | — | 8 | 1 | no | — |
| 281 | C2×D13 | — | 8 | 1 | no | — |
| 282 | C2×D13 | — | 8 | 1 | no | — |
| 283 | C2×D13 | — | 8 | 1 | no | — |
| 284 | C2×D13 | — | 8 | 1 | no | — |
| 285 | C2×D13 | — | 8 | 1 | no | — |
| 286 | C2×D13 | — | 8 | 1 | no | — |
| 287 | C2×D13 | — | 8 | 1 | no | — |
| 288 | C2×D13 | — | 16 | 1 | no | — |
| 289 | C2×D13 | — | 16 | 1 | no | — |
| 290 | C2×D13 | #453 | 1 | 1 | yes | characteristic |
| 291 | C2×D13 | #454 | 1 | 1 | yes | characteristic |
| 292 | #261 | — | 8 | 1 | no | — |
| 293 | #261 | — | 8 | 1 | no | — |
| 294 | #261 | — | 8 | 1 | no | — |
| 295 | #261 | — | 8 | 1 | no | — |
| 296 | #261 | — | 8 | 2 | no | — |
| 297 | C4×C13 | — | 2 | 1 | no | — |
| 298 | C4×C13 | — | 2 | 1 | no | — |
| 299 | C4×C13 | — | 4 | 1 | no | — |
| 300 | C4×C13 | — | 8 | 1 | no | — |
| 301 | Dic13 | — | 2 | 1 | no | — |
| 302 | Dic13 | — | 2 | 1 | no | — |
| 303 | Dic13 | — | 4 | 1 | no | — |
| 304 | C22×D4 | — | 13 | 1 | no | — |
| 305 | C22×D4 | — | 13 | 1 | no | — |
| 306 | C22×D4 | — | 26 | 1 | no | — |
| 307 | C22×D4 | — | 26 | 1 | no | — |
| 308 | C23×C4 | — | 13 | 1 | no | — |
| 309 | C23×C4 | — | 26 | 1 | no | — |
| 310 | C2×D8 | — | 26 | 1 | no | — |
| 311 | C2×D8 | — | 26 | 1 | no | — |
| 312 | C2×M16 | — | 26 | 1 | no | — |
| 313 | C2×M16 | — | 26 | 1 | no | — |
| 314 | #121 | — | 13 | 1 | no | — |
| 315 | #121 | — | 13 | 1 | no | — |
| 316 | #121 | — | 13 | 1 | no | — |
| 317 | #121 | — | 26 | 1 | no | — |
| 318 | #121 | — | 26 | 1 | no | — |
| 319 | #121 | — | 26 | 1 | no | — |
| 320 | #121 | — | 26 | 1 | no | — |
| 321 | #121 | — | 26 | 1 | no | — |
| 322 | #121 | — | 26 | 1 | no | — |
| 323 | #121 | C2×#261 | 1 | 1 | yes | characteristic |
| 324 | C2×C4⋊C4 | — | 13 | 1 | no | — |
| 325 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 326 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 327 | C2×C4⋊C4 | C2×#261 | 1 | 1 | yes | characteristic, complemented |
| 328 | C2×C22⋊C4 | — | 13 | 1 | no | — |
| 329 | C2×C22⋊C4 | — | 13 | 1 | no | — |
| 330 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 331 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 332 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 333 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 334 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 335 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 336 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 337 | C2×C42 | — | 26 | 1 | no | — |
| 338 | C2×C42 | — | 26 | 1 | no | — |
| 339 | #106 | — | 2 | 1 | no | — |
| 340 | #106 | — | 26 | 1 | no | — |
| 341 | #102 | — | 2 | 1 | no | — |
| 342 | #102 | — | 26 | 1 | no | — |
| 343 | #102 | — | 26 | 1 | no | — |
| 344 | #102 | — | 26 | 1 | no | — |
| 345 | #99 | — | 52 | 2 | no | — |
| 346 | #99 | — | 52 | 2 | no | — |
| 347 | C22⋊C8 | — | 13 | 1 | no | — |
| 348 | C22⋊C8 | — | 26 | 1 | no | — |
| 349 | C22⋊C8 | — | 26 | 1 | no | — |
| 350 | C22⋊C8 | — | 26 | 1 | no | — |
| 351 | C22⋊C8 | C2×#261 | 1 | 1 | yes | characteristic, complemented |
| 352 | #95 | — | 13 | 1 | no | — |
| 353 | #95 | — | 13 | 1 | no | — |
| 354 | #95 | — | 26 | 1 | no | — |
| 355 | #95 | — | 26 | 1 | no | — |
| 356 | #95 | — | 26 | 1 | no | — |
| 357 | #95 | — | 26 | 1 | no | — |
| 358 | #95 | — | 26 | 1 | no | — |
| 359 | C2×C13 | — | 4 | 1 | no | — |
| 360 | C2×C13 | — | 8 | 1 | no | — |
| 361 | C2×C13 | #1883 | 1 | 1 | yes | characteristic |
| 362 | C2×C13 | #1904 | 1 | 1 | yes | characteristic |
| 363 | C2×C13 | #1913 | 1 | 1 | yes | characteristic |
| 364 | D13 | — | 2 | 1 | no | — |
| 365 | D13 | — | 2 | 1 | no | — |
| 366 | D13 | — | 4 | 1 | no | — |
| 367 | D13 | — | 8 | 1 | no | — |
| 368 | D13 | — | 16 | 1 | no | — |
| 369 | C24 | — | 13 | 1 | no | — |
| 370 | C24 | — | 26 | 1 | no | — |
| 371 | C24 | — | 26 | 1 | no | — |
| 372 | C2×D4 | — | 2 | 1 | no | — |
| 373 | C2×D4 | — | 13 | 1 | no | — |
| 374 | C2×D4 | — | 26 | 1 | no | — |
| 375 | C2×D4 | — | 26 | 1 | no | — |
| 376 | C2×D4 | — | 26 | 1 | no | — |
| 377 | C2×D4 | — | 26 | 1 | no | — |
| 378 | C2×D4 | — | 26 | 1 | no | — |
| 379 | C2×D4 | — | 26 | 1 | no | — |
| 380 | C2×D4 | — | 52 | 1 | no | — |
| 381 | C2×D4 | — | 52 | 1 | no | — |
| 382 | C2×D4 | — | 52 | 1 | no | — |
| 383 | C2×D4 | — | 52 | 1 | no | — |
| 384 | C2×D4 | — | 52 | 1 | no | — |
| 385 | C2×D4 | — | 52 | 1 | no | — |
| 386 | C2×D4 | — | 104 | 1 | no | — |
| 387 | C2×D4 | — | 104 | 1 | no | — |
| 388 | C2×D4 | — | 104 | 1 | no | — |
| 389 | C2×D4 | — | 104 | 1 | no | — |
| 390 | C2×D4 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 391 | C22×C4 | — | 2 | 1 | no | — |
| 392 | C22×C4 | — | 13 | 1 | no | — |
| 393 | C22×C4 | — | 13 | 1 | no | — |
| 394 | C22×C4 | — | 13 | 1 | no | — |
| 395 | C22×C4 | — | 13 | 1 | no | — |
| 396 | C22×C4 | — | 13 | 1 | no | — |
| 397 | C22×C4 | — | 26 | 1 | no | — |
| 398 | C22×C4 | — | 26 | 1 | no | — |
| 399 | C22×C4 | — | 26 | 1 | no | — |
| 400 | C22×C4 | — | 26 | 1 | no | — |
| 401 | C22×C4 | — | 26 | 1 | no | — |
| 402 | C22×C4 | — | 52 | 1 | no | — |
| 403 | C22×C4 | — | 104 | 1 | no | — |
| 404 | C22×C4 | — | 104 | 1 | no | — |
| 405 | C22×C4 | — | 104 | 1 | no | — |
| 406 | C22×C4 | — | 104 | 1 | no | — |
| 407 | C22×C4 | C22×#261 | 1 | 1 | yes | characteristic |
| 408 | D8 | — | 104 | 1 | no | — |
| 409 | D8 | — | 104 | 1 | no | — |
| 410 | M16 | — | 104 | 1 | no | — |
| 411 | M16 | — | 104 | 1 | no | — |
| 412 | C2×C8 | — | 2 | 1 | no | — |
| 413 | C2×C8 | — | 26 | 1 | no | — |
| 414 | C2×C8 | — | 52 | 1 | no | — |
| 415 | C4⋊C4 | — | 2 | 1 | no | — |
| 416 | C4⋊C4 | — | 2 | 1 | no | — |
| 417 | C4⋊C4 | — | 13 | 1 | no | — |
| 418 | C4⋊C4 | — | 26 | 1 | no | — |
| 419 | C4⋊C4 | — | 104 | 1 | no | — |
| 420 | C4⋊C4 | — | 104 | 1 | no | — |
| 421 | C4⋊C4 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 422 | C22⋊C4 | — | 2 | 1 | no | — |
| 423 | C22⋊C4 | — | 26 | 1 | no | — |
| 424 | C22⋊C4 | — | 26 | 1 | no | — |
| 425 | C22⋊C4 | — | 26 | 1 | no | — |
| 426 | C22⋊C4 | — | 26 | 2 | no | — |
| 427 | C22⋊C4 | — | 52 | 1 | no | — |
| 428 | C22⋊C4 | — | 52 | 1 | no | — |
| 429 | C22⋊C4 | — | 52 | 1 | no | — |
| 430 | C22⋊C4 | — | 52 | 1 | no | — |
| 431 | C22⋊C4 | — | 52 | 1 | no | — |
| 432 | C22⋊C4 | — | 104 | 1 | no | — |
| 433 | C22⋊C4 | — | 104 | 1 | no | — |
| 434 | C22⋊C4 | — | 104 | 1 | no | — |
| 435 | C22⋊C4 | — | 104 | 1 | no | — |
| 436 | C42 | — | 104 | 1 | no | — |
| 437 | C42 | — | 104 | 1 | no | — |
| 438 | C13 | #9343 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 439 | C23 | — | 2 | 1 | no | — |
| 440 | C23 | — | 13 | 1 | no | — |
| 441 | C23 | — | 13 | 1 | no | — |
| 442 | C23 | — | 26 | 1 | no | — |
| 443 | C23 | — | 26 | 1 | no | — |
| 444 | C23 | — | 26 | 1 | no | — |
| 445 | C23 | — | 52 | 1 | no | — |
| 446 | C23 | — | 52 | 1 | no | — |
| 447 | C23 | — | 52 | 1 | no | — |
| 448 | C23 | — | 52 | 1 | no | — |
| 449 | C23 | — | 52 | 1 | no | — |
| 450 | C23 | — | 52 | 1 | no | — |
| 451 | C23 | — | 52 | 1 | no | — |
| 452 | C23 | — | 52 | 1 | no | — |
| 453 | C23 | — | 52 | 1 | no | — |
| 454 | C23 | — | 52 | 1 | no | — |
| 455 | C23 | — | 52 | 1 | no | — |
| 456 | C23 | — | 104 | 1 | no | — |
| 457 | C23 | — | 104 | 1 | no | — |
| 458 | C23 | D4×#261 | 1 | 1 | yes | characteristic |
| 459 | D4 | — | 4 | 1 | no | — |
| 460 | D4 | — | 8 | 1 | no | — |
| 461 | D4 | — | 52 | 1 | no | — |
| 462 | D4 | — | 52 | 1 | no | — |
| 463 | D4 | — | 52 | 1 | no | — |
| 464 | D4 | — | 104 | 1 | no | — |
| 465 | D4 | — | 104 | 1 | no | — |
| 466 | D4 | — | 104 | 1 | no | — |
| 467 | D4 | — | 104 | 1 | no | — |
| 468 | D4 | — | 104 | 1 | no | — |
| 469 | D4 | — | 104 | 1 | no | — |
| 470 | D4 | — | 104 | 1 | no | — |
| 471 | D4 | — | 104 | 1 | no | — |
| 472 | D4 | — | 104 | 1 | no | — |
| 473 | C2×C4 | — | 2 | 1 | no | — |
| 474 | C2×C4 | — | 4 | 1 | no | — |
| 475 | C2×C4 | — | 4 | 1 | no | — |
| 476 | C2×C4 | — | 4 | 1 | no | — |
| 477 | C2×C4 | — | 4 | 1 | no | — |
| 478 | C2×C4 | — | 13 | 1 | no | — |
| 479 | C2×C4 | — | 13 | 1 | no | — |
| 480 | C2×C4 | — | 26 | 1 | no | — |
| 481 | C2×C4 | — | 52 | 1 | no | — |
| 482 | C2×C4 | — | 52 | 1 | no | — |
| 483 | C2×C4 | — | 52 | 1 | no | — |
| 484 | C2×C4 | — | 52 | 1 | no | — |
| 485 | C2×C4 | — | 52 | 1 | no | — |
| 486 | C2×C4 | — | 52 | 1 | no | — |
| 487 | C2×C4 | — | 52 | 1 | no | — |
| 488 | C2×C4 | — | 52 | 1 | no | — |
| 489 | C2×C4 | — | 52 | 1 | no | — |
| 490 | C2×C4 | — | 52 | 1 | no | — |
| 491 | C2×C4 | — | 52 | 1 | no | — |
| 492 | C2×C4 | — | 52 | 1 | no | — |
| 493 | C2×C4 | — | 52 | 1 | no | — |
| 494 | C2×C4 | — | 52 | 2 | no | — |
| 495 | C2×C4 | — | 52 | 1 | no | — |
| 496 | C2×C4 | — | 52 | 1 | no | — |
| 497 | C2×C4 | — | 52 | 1 | no | — |
| 498 | C2×C4 | — | 52 | 1 | no | — |
| 499 | C2×C4 | — | 52 | 1 | no | — |
| 500 | C2×C4 | — | 52 | 1 | no | — |
| 501 | C2×C4 | — | 104 | 1 | no | — |
| 502 | C2×C4 | — | 104 | 1 | no | — |
| 503 | C2×C4 | — | 104 | 4 | no | — |
| 504 | C2×C4 | D4×#261 | 1 | 1 | yes | characteristic |
| 505 | C2×C4 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 506 | C8 | — | 4 | 1 | no | — |
| 507 | C8 | — | 52 | 1 | no | — |
| 508 | C8 | — | 104 | 1 | no | — |
| 509 | C22 | — | 2 | 1 | no | — |
| 510 | C22 | — | 2 | 1 | no | — |
| 511 | C22 | — | 2 | 1 | no | — |
| 512 | C22 | — | 4 | 1 | no | — |
| 513 | C22 | — | 4 | 1 | no | — |
| 514 | C22 | — | 4 | 1 | no | — |
| 515 | C22 | — | 13 | 1 | no | — |
| 516 | C22 | — | 13 | 1 | no | — |
| 517 | C22 | — | 26 | 1 | no | — |
| 518 | C22 | — | 26 | 1 | no | — |
| 519 | C22 | — | 26 | 1 | no | — |
| 520 | C22 | — | 26 | 1 | no | — |
| 521 | C22 | — | 26 | 1 | no | — |
| 522 | C22 | — | 52 | 1 | no | — |
| 523 | C22 | — | 52 | 1 | no | — |
| 524 | C22 | — | 52 | 1 | no | — |
| 525 | C22 | — | 104 | 1 | no | — |
| 526 | C22 | — | 104 | 1 | no | — |
| 527 | C22 | — | 104 | 1 | no | — |
| 528 | C22 | — | 104 | 1 | no | — |
| 529 | C22 | — | 104 | 1 | no | — |
| 530 | C22 | — | 104 | 1 | no | — |
| 531 | C22 | — | 104 | 1 | no | — |
| 532 | C22 | — | 104 | 1 | no | — |
| 533 | C22 | — | 104 | 1 | no | — |
| 534 | C22 | — | 208 | 1 | no | — |
| 535 | C22 | — | 208 | 1 | no | — |
| 536 | C22 | #11719150 | 1 | 1 | yes | characteristic |
| 537 | C4 | — | 2 | 1 | no | — |
| 538 | C4 | — | 2 | 1 | no | — |
| 539 | C4 | — | 4 | 1 | no | — |
| 540 | C4 | — | 8 | 1 | no | — |
| 541 | C4 | — | 26 | 1 | no | — |
| 542 | C4 | — | 26 | 1 | no | — |
| 543 | C4 | — | 52 | 1 | no | — |
| 544 | C4 | — | 104 | 1 | no | — |
| 545 | C4 | — | 104 | 1 | no | — |
| 546 | C4 | — | 104 | 1 | no | — |
| 547 | C4 | — | 104 | 1 | no | — |
| 548 | C4 | — | 104 | 2 | no | — |
| 549 | C2 | — | 4 | 1 | no | — |
| 550 | C2 | — | 8 | 1 | no | — |
| 551 | C2 | — | 26 | 1 | no | — |
| 552 | C2 | — | 26 | 1 | no | — |
| 553 | C2 | — | 52 | 1 | no | — |
| 554 | C2 | — | 104 | 1 | no | — |
| 555 | C2 | — | 208 | 1 | no | — |
| 556 | C2 | #13130836 | 1 | 1 | yes | characteristic |
| 557 | C2 | #13130869 | 1 | 1 | yes | characteristic |
| 558 | C2 | #13130886 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13131377 | C2 | semidirect |
| 2. #13130976 | C2 | semidirect |
| 3. #13130243 | C2 | semidirect |
| 4. #13130231 | C2 | semidirect |
| 5. #13129738 | C2 | semidirect |
| 6. #13129685 | C2 | semidirect |
| 22. C13×#481 | C4 | semidirect |
| 23. #11718697 | C4 | semidirect |
| 24. #11718629 | C4 | semidirect |
| 29. #11718393 | C4 | semidirect |
| 39. C22×D52 | C2×C4 | semidirect |
| 54. C2×C13×C4⋊C4 | C2×C4 | semidirect |
| 83. C13×C22⋊C8 | C2×C4 | semidirect |
| 84. C22⋊#1055 | C2×C4 | semidirect |
| 241. #481 | #261 | semidirect |
| 327. C2×C4⋊C4 | C2×#261 | semidirect |
| 351. C22⋊C8 | C2×#261 | semidirect |
| 438. C13 | #9343 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131377 | 2 |
| #13130976 | 2 |
| #13130243 | 2 |
| #13130231 | 2 |
| #13129738 | 2 |
| #13129685 | 2 |
| #13125635 | 2 |
| #9343 | 13 |