Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1202 conjugacy classes of subgroups.
The subgroup lattice has 402 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13131730 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13131351 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13130266 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #13130265 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #13130216 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #13130215 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #13128601 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | C2×#88257 | — | 2 | 1 | no | — |
| 9 | C2×Q8×#261 | — | 2 | 1 | no | — |
| 10 | C13×#550 | C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | #11719536 | — | 2 | 1 | no | — |
| 12 | #11719423 | C4 | 1 | 3 | yes | complemented |
| 13 | #11719421 | C22 | 1 | 3 | yes | — |
| 14 | #11719313 | — | 2 | 3 | no | — |
| 15 | #11719303 | — | 2 | 3 | no | — |
| 16 | Q8×D52 | C4 | 1 | 1 | yes | characteristic, complemented |
| 17 | C4×Q8×D13 | C22 | 1 | 1 | yes | characteristic |
| 18 | #11719253 | C22 | 1 | 3 | yes | — |
| 19 | D4×Dic26 | C4 | 1 | 3 | yes | complemented |
| 20 | Q8×#1057 | — | 2 | 1 | no | — |
| 21 | #11719083 | — | 2 | 3 | no | — |
| 22 | #11719074 | — | 2 | 3 | no | — |
| 23 | #11719060 | C22 | 1 | 3 | yes | — |
| 24 | C4×C4⋊#261 | C22 | 1 | 3 | yes | — |
| 25 | #11719051 | C22 | 1 | 3 | yes | — |
| 26 | #11719049 | C22 | 1 | 3 | yes | — |
| 27 | #11718292 | C22 | 1 | 3 | yes | — |
| 28 | #11718292 | C22 | 1 | 6 | yes | — |
| 29 | #11718292 | C22 | 1 | 3 | yes | — |
| 30 | #11718240 | C22 | 1 | 3 | yes | — |
| 31 | #11718240 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×C13×#41 | — | 2 | 1 | no | — |
| 33 | #88257 | — | 4 | 4 | no | — |
| 34 | #88257 | — | 4 | 4 | no | — |
| 35 | C2×Q8×D13 | — | 2 | 1 | no | — |
| 36 | C2×Q8×D13 | D4 | 1 | 1 | yes | characteristic |
| 37 | C2×#6129 | — | 2 | 3 | no | — |
| 38 | C2×#6129 | — | 2 | 3 | no | — |
| 39 | C2×#6127 | — | 2 | 3 | no | — |
| 40 | C22×Dic26 | — | 2 | 3 | no | — |
| 41 | Q8×#261 | — | 4 | 4 | no | — |
| 42 | C2×C4⋊#261 | — | 2 | 3 | no | — |
| 43 | C2×C4⋊#261 | — | 2 | 3 | no | — |
| 44 | C2×C4×#261 | — | 2 | 3 | no | — |
| 45 | C13×#127 | C2×C4 | 1 | 3 | yes | — |
| 46 | C13×#121 | — | 2 | 3 | no | — |
| 47 | C4×Q8×C13 | C2×C4 | 1 | 1 | yes | characteristic |
| 48 | C4×D4×C13 | C2×C4 | 1 | 3 | yes | — |
| 49 | Q8×Dic13 | D4 | 1 | 1 | yes | characteristic |
| 50 | #88194 | C2×C4 | 1 | 3 | yes | — |
| 51 | #88193 | — | 2 | 6 | no | — |
| 52 | #88192 | — | 2 | 3 | no | — |
| 53 | #88192 | — | 2 | 3 | no | — |
| 54 | #88192 | C23 | 1 | 3 | yes | — |
| 55 | #88190 | — | 2 | 3 | no | — |
| 56 | D4×Dic13 | — | 2 | 3 | no | — |
| 57 | D4×Dic13 | C2×C4 | 1 | 6 | yes | — |
| 58 | C4×C22⋊D13 | — | 2 | 3 | no | — |
| 59 | #88178 | — | 2 | 3 | no | — |
| 60 | #88151 | — | 2 | 3 | no | — |
| 61 | #88149 | C23 | 1 | 1 | yes | characteristic |
| 62 | C4⋊C4×D13 | D4 | 1 | 3 | yes | — |
| 63 | #88142 | C2×C4 | 1 | 3 | yes | — |
| 64 | #88141 | D4 | 1 | 3 | yes | — |
| 65 | #88139 | — | 2 | 3 | no | — |
| 66 | #88138 | — | 2 | 3 | no | — |
| 67 | #88132 | — | 2 | 6 | no | — |
| 68 | C4×D52 | C2×C4 | 1 | 3 | yes | — |
| 69 | C42×D13 | C23 | 1 | 3 | yes | — |
| 70 | #88123 | C2×C4 | 1 | 3 | yes | — |
| 71 | C4×Dic26 | C2×C4 | 1 | 3 | yes | — |
| 72 | (C2×#261)⋊C4 | — | 2 | 3 | no | — |
| 73 | (C2×#261)⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 74 | (C2×#261)⋊C4 | C23 | 1 | 3 | yes | — |
| 75 | #88112 | — | 2 | 3 | no | — |
| 76 | #88111 | C23 | 1 | 1 | yes | characteristic |
| 77 | #88111 | C23 | 1 | 3 | yes | — |
| 78 | C4⋊#1057 | — | 2 | 3 | no | — |
| 79 | C4×#1057 | — | 2 | 3 | no | — |
| 80 | C4×#1057 | — | 2 | 3 | no | — |
| 81 | #17618 | — | 13 | 1 | no | maximal, Sylow |
| 82 | C22×#261 | — | 2 | 1 | no | — |
| 83 | C22×#261 | — | 2 | 3 | no | — |
| 84 | C13×#41 | — | 4 | 4 | no | — |
| 85 | C2×Q8×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 86 | C2×D4×C13 | — | 2 | 3 | no | — |
| 87 | C2×D4×C13 | — | 2 | 3 | no | — |
| 88 | C2×D4×C13 | C22×C4 | 1 | 3 | yes | — |
| 89 | C22×C4×C13 | — | 2 | 3 | no | — |
| 90 | C2×C22⋊D13 | — | 2 | 3 | no | — |
| 91 | C2×C22⋊D13 | — | 2 | 3 | no | — |
| 92 | C2×C22⋊D13 | — | 2 | 3 | no | — |
| 93 | C22×Dic13 | — | 2 | 6 | no | — |
| 94 | Q8×D13 | — | 4 | 4 | no | — |
| 95 | Q8×D13 | D8 | 1 | 4 | yes | — |
| 96 | Q8×D13 | SD16 | 1 | 4 | yes | — |
| 97 | #6129 | — | 4 | 6 | no | — |
| 98 | #6129 | — | 4 | 6 | no | — |
| 99 | #6129 | — | 4 | 12 | no | — |
| 100 | #6127 | — | 4 | 6 | no | — |
| 101 | #6127 | — | 4 | 6 | no | — |
| 102 | C2×D52 | — | 2 | 1 | no | — |
| 103 | C2×D52 | C22×C4 | 1 | 1 | yes | characteristic |
| 104 | C2×C4×D13 | — | 2 | 3 | no | — |
| 105 | C2×C4×D13 | C2×D4 | 1 | 3 | yes | — |
| 106 | C2×C4×D13 | C2×D4 | 1 | 3 | yes | — |
| 107 | C2×C4×D13 | C24 | 1 | 1 | yes | characteristic |
| 108 | C2×Dic26 | — | 2 | 3 | no | — |
| 109 | C2×Dic26 | — | 2 | 3 | no | — |
| 110 | C2×Dic26 | — | 4 | 12 | no | — |
| 111 | C2×Dic26 | C22⋊C4 | 1 | 3 | yes | — |
| 112 | C2×#1057 | — | 2 | 3 | no | — |
| 113 | C2×#1057 | — | 2 | 1 | no | — |
| 114 | C4⋊#261 | — | 4 | 6 | no | — |
| 115 | C4⋊#261 | — | 4 | 6 | no | — |
| 116 | C4×#261 | — | 4 | 6 | no | — |
| 117 | C13×C4⋊C4 | C22⋊C4 | 1 | 3 | yes | — |
| 118 | C13×C4⋊C4 | C22×C4 | 1 | 1 | yes | characteristic |
| 119 | C13×C22⋊C4 | — | 2 | 3 | no | — |
| 120 | C42×C13 | C22×C4 | 1 | 3 | yes | — |
| 121 | C22⋊Dic13 | — | 2 | 6 | no | — |
| 122 | C22⋊Dic13 | — | 2 | 3 | no | — |
| 123 | #6103 | — | 2 | 3 | no | — |
| 124 | #6103 | — | 2 | 1 | no | — |
| 125 | C4⋊Dic13 | — | 2 | 3 | no | — |
| 126 | C4⋊Dic13 | C22⋊C4 | 1 | 3 | yes | — |
| 127 | C4⋊Dic13 | C22×C4 | 1 | 3 | yes | — |
| 128 | #6101 | — | 2 | 3 | no | — |
| 129 | #6101 | C22⋊C4 | 1 | 6 | yes | — |
| 130 | C4×Dic13 | C22×C4 | 1 | 3 | yes | — |
| 131 | C4×Dic13 | C2×D4 | 1 | 3 | yes | — |
| 132 | C4×Dic13 | C2×D4 | 1 | 3 | yes | — |
| 133 | #3497 | — | 13 | 1 | no | — |
| 134 | #2982 | — | 13 | 1 | no | — |
| 135 | #2351 | — | 13 | 1 | no | — |
| 136 | #1517 | — | 13 | 3 | no | — |
| 137 | #1517 | — | 13 | 3 | no | — |
| 138 | #1502 | — | 13 | 3 | no | — |
| 139 | #1502 | — | 13 | 3 | no | — |
| 140 | C23×C13 | — | 2 | 3 | no | — |
| 141 | C22×D13 | — | 2 | 1 | no | — |
| 142 | C22×D13 | C22×D4 | 1 | 1 | yes | characteristic |
| 143 | C2×#261 | — | 2 | 2 | no | — |
| 144 | C2×#261 | — | 4 | 1 | no | — |
| 145 | C2×#261 | — | 4 | 1 | no | — |
| 146 | C2×#261 | — | 4 | 3 | no | — |
| 147 | C2×#261 | — | 4 | 3 | no | — |
| 148 | C2×#261 | — | 4 | 3 | no | — |
| 149 | Q8×C13 | #102 | 1 | 4 | yes | — |
| 150 | D4×C13 | — | 4 | 3 | no | — |
| 151 | D4×C13 | — | 4 | 6 | no | — |
| 152 | D4×C13 | — | 8 | 3 | no | — |
| 153 | C2×C4×C13 | — | 2 | 1 | no | — |
| 154 | C2×C4×C13 | — | 4 | 6 | no | — |
| 155 | C2×C4×C13 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 156 | C2×C4×C13 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 157 | C2×C4×C13 | C23×C4 | 1 | 1 | yes | characteristic |
| 158 | C22⋊D13 | — | 4 | 3 | no | — |
| 159 | C22⋊D13 | — | 4 | 3 | no | — |
| 160 | C22⋊D13 | — | 4 | 6 | no | — |
| 161 | C22⋊D13 | — | 8 | 3 | no | — |
| 162 | C2×Dic13 | — | 2 | 3 | no | — |
| 163 | C2×Dic13 | — | 4 | 12 | no | — |
| 164 | C2×Dic13 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 165 | C2×Dic13 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 166 | C2×Dic13 | C22×D4 | 1 | 1 | yes | characteristic |
| 167 | D52 | — | 4 | 1 | no | — |
| 168 | D52 | — | 4 | 1 | no | — |
| 169 | D52 | — | 4 | 1 | no | — |
| 170 | C4×D13 | — | 4 | 3 | no | — |
| 171 | C4×D13 | — | 4 | 1 | no | — |
| 172 | C4×D13 | — | 4 | 6 | no | — |
| 173 | C4×D13 | C2×D8 | 1 | 6 | yes | — |
| 174 | C4×D13 | C2×SD16 | 1 | 6 | yes | — |
| 175 | Dic26 | — | 4 | 6 | no | — |
| 176 | Dic26 | — | 4 | 6 | no | — |
| 177 | Dic26 | #102 | 1 | 12 | yes | — |
| 178 | #1057 | — | 4 | 3 | no | — |
| 179 | #1057 | — | 4 | 1 | no | — |
| 180 | C2×2−1+4 | — | 26 | 1 | no | — |
| 181 | #550 | — | 13 | 3 | no | — |
| 182 | #550 | #261 | 1 | 1 | yes | characteristic, complemented |
| 183 | D4×Q8 | — | 13 | 1 | no | — |
| 184 | D4×Q8 | — | 13 | 3 | no | — |
| 185 | #548 | — | 26 | 3 | no | — |
| 186 | #548 | — | 26 | 1 | no | — |
| 187 | #537 | — | 26 | 3 | no | — |
| 188 | #532 | — | 13 | 3 | no | — |
| 189 | #532 | — | 13 | 3 | no | — |
| 190 | C2×C4×Q8 | — | 13 | 1 | no | — |
| 191 | C2×C4×Q8 | — | 26 | 1 | no | — |
| 192 | C8×Q8 | — | 26 | 3 | no | — |
| 193 | C8×Q8 | — | 26 | 1 | no | — |
| 194 | #431 | — | 13 | 3 | no | — |
| 195 | #431 | — | 13 | 3 | no | — |
| 196 | #389 | — | 26 | 3 | no | — |
| 197 | #382 | — | 13 | 3 | no | — |
| 198 | C4×C4⋊C4 | — | 13 | 3 | no | — |
| 199 | #327 | — | 13 | 1 | no | — |
| 200 | #327 | — | 13 | 3 | no | — |
| 201 | #327 | — | 13 | 3 | no | — |
| 202 | #327 | — | 13 | 3 | no | — |
| 203 | #327 | — | 13 | 6 | no | — |
| 204 | C22×C13 | — | 4 | 3 | no | — |
| 205 | C22×C13 | — | 4 | 3 | no | — |
| 206 | C22×C13 | — | 4 | 3 | no | — |
| 207 | C22×C13 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 208 | C2×D13 | — | 2 | 1 | no | — |
| 209 | C2×D13 | — | 2 | 1 | no | — |
| 210 | C2×D13 | — | 4 | 1 | no | — |
| 211 | C2×D13 | — | 4 | 1 | no | — |
| 212 | C2×D13 | — | 4 | 1 | no | — |
| 213 | C2×D13 | C22×D8 | 1 | 1 | yes | characteristic |
| 214 | C2×D13 | C22×SD16 | 1 | 1 | yes | characteristic |
| 215 | #261 | — | 4 | 2 | no | — |
| 216 | #261 | — | 8 | 3 | no | — |
| 217 | C4×C13 | — | 2 | 1 | no | — |
| 218 | C4×C13 | — | 2 | 3 | no | — |
| 219 | C4×C13 | — | 4 | 1 | no | — |
| 220 | C4×C13 | C2×#102 | 1 | 6 | yes | — |
| 221 | Dic13 | — | 2 | 1 | no | — |
| 222 | Dic13 | — | 2 | 3 | no | — |
| 223 | Dic13 | — | 4 | 3 | no | — |
| 224 | Dic13 | C2×#102 | 1 | 6 | yes | — |
| 225 | 2−1+4 | — | 52 | 4 | no | — |
| 226 | 2−1+4 | — | 52 | 4 | no | — |
| 227 | C2×#41 | — | 2 | 1 | no | — |
| 228 | C2×#41 | — | 26 | 3 | no | — |
| 229 | C2×#41 | — | 26 | 3 | no | — |
| 230 | C2×#41 | — | 26 | 3 | no | — |
| 231 | C22×Q8 | — | 13 | 1 | no | — |
| 232 | C22×Q8 | — | 26 | 3 | no | — |
| 233 | C22×Q8 | — | 26 | 1 | no | — |
| 234 | C4⋊Q8 | — | 13 | 3 | no | — |
| 235 | C4⋊Q8 | — | 13 | 3 | no | — |
| 236 | #127 | — | 13 | 3 | no | — |
| 237 | #127 | C2×#261 | 1 | 3 | yes | — |
| 238 | #124 | — | 26 | 3 | no | — |
| 239 | #124 | — | 26 | 3 | no | — |
| 240 | C22⋊Q8 | — | 26 | 6 | no | — |
| 241 | C22⋊Q8 | — | 26 | 3 | no | — |
| 242 | C22⋊Q8 | — | 26 | 3 | no | — |
| 243 | #121 | — | 2 | 3 | no | — |
| 244 | #121 | — | 13 | 3 | no | — |
| 245 | #121 | — | 13 | 1 | no | — |
| 246 | #121 | — | 26 | 3 | no | — |
| 247 | #121 | — | 26 | 3 | no | — |
| 248 | #121 | — | 26 | 6 | no | — |
| 249 | #121 | — | 26 | 3 | no | — |
| 250 | C4×Q8 | — | 13 | 1 | no | — |
| 251 | C4×Q8 | — | 13 | 3 | no | — |
| 252 | C4×Q8 | — | 13 | 3 | no | — |
| 253 | C4×Q8 | — | 52 | 4 | no | — |
| 254 | C4×Q8 | C2×#261 | 1 | 1 | yes | characteristic |
| 255 | C4×D4 | — | 13 | 6 | no | — |
| 256 | C4×D4 | — | 13 | 3 | no | — |
| 257 | C4×D4 | — | 26 | 3 | no | — |
| 258 | C4×D4 | — | 26 | 3 | no | — |
| 259 | C4×D4 | C2×#261 | 1 | 3 | yes | — |
| 260 | C2×C4⋊C4 | — | 13 | 3 | no | — |
| 261 | C2×C4⋊C4 | — | 26 | 3 | no | — |
| 262 | C2×C4⋊C4 | — | 26 | 3 | no | — |
| 263 | C2×C42 | — | 13 | 3 | no | — |
| 264 | C2×C42 | — | 26 | 3 | no | — |
| 265 | C4⋊C8 | — | 26 | 3 | no | — |
| 266 | C4⋊C8 | — | 26 | 3 | no | — |
| 267 | C22⋊C8 | — | 13 | 1 | no | — |
| 268 | C22⋊C8 | — | 13 | 3 | no | — |
| 269 | C4×C8 | — | 26 | 3 | no | — |
| 270 | C4×C8 | — | 26 | 3 | no | — |
| 271 | #95 | — | 13 | 1 | no | — |
| 272 | #95 | — | 13 | 3 | no | — |
| 273 | #95 | — | 26 | 3 | no | — |
| 274 | C2×C13 | — | 8 | 3 | no | — |
| 275 | C2×C13 | #2884 | 1 | 1 | yes | characteristic |
| 276 | C2×C13 | C22×#102 | 1 | 1 | yes | characteristic |
| 277 | C2×C13 | #2901 | 1 | 1 | yes | characteristic |
| 278 | D13 | — | 2 | 1 | no | — |
| 279 | D13 | — | 2 | 1 | no | — |
| 280 | D13 | — | 8 | 1 | no | — |
| 281 | #41 | — | 4 | 4 | no | — |
| 282 | #41 | — | 52 | 6 | no | — |
| 283 | #41 | — | 52 | 6 | no | — |
| 284 | #41 | — | 52 | 6 | no | — |
| 285 | #41 | — | 52 | 6 | no | — |
| 286 | #41 | — | 52 | 12 | no | — |
| 287 | C2×Q8 | — | 13 | 4 | no | — |
| 288 | C2×Q8 | — | 13 | 4 | no | — |
| 289 | C2×Q8 | — | 13 | 3 | no | — |
| 290 | C2×Q8 | — | 26 | 3 | no | — |
| 291 | C2×Q8 | — | 26 | 3 | no | — |
| 292 | C2×Q8 | — | 52 | 12 | no | — |
| 293 | C2×Q8 | — | 52 | 4 | no | — |
| 294 | C2×Q8 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 295 | C2×D4 | — | 2 | 3 | no | — |
| 296 | C2×D4 | — | 2 | 3 | no | — |
| 297 | C2×D4 | — | 13 | 1 | no | — |
| 298 | C2×D4 | — | 26 | 1 | no | — |
| 299 | C2×D4 | — | 26 | 3 | no | — |
| 300 | C2×D4 | — | 26 | 3 | no | — |
| 301 | C2×D4 | — | 26 | 3 | no | — |
| 302 | C2×D4 | C22×#261 | 1 | 3 | yes | — |
| 303 | C22×C4 | — | 2 | 3 | no | — |
| 304 | C22×C4 | — | 13 | 3 | no | — |
| 305 | C22×C4 | — | 13 | 3 | no | — |
| 306 | C22×C4 | — | 13 | 1 | no | — |
| 307 | C22×C4 | — | 26 | 6 | no | — |
| 308 | C22×C4 | — | 26 | 1 | no | — |
| 309 | C22×C4 | — | 26 | 3 | no | — |
| 310 | C22×C4 | — | 26 | 3 | no | — |
| 311 | C2×C8 | — | 26 | 3 | no | — |
| 312 | C2×C8 | — | 26 | 1 | no | — |
| 313 | C4⋊C4 | — | 13 | 6 | no | — |
| 314 | C4⋊C4 | — | 13 | 3 | no | — |
| 315 | C4⋊C4 | — | 13 | 3 | no | — |
| 316 | C4⋊C4 | — | 26 | 3 | no | — |
| 317 | C4⋊C4 | — | 26 | 3 | no | — |
| 318 | C4⋊C4 | — | 52 | 6 | no | — |
| 319 | C4⋊C4 | — | 52 | 6 | no | — |
| 320 | C4⋊C4 | C22⋊#261 | 1 | 3 | yes | — |
| 321 | C4⋊C4 | C22×#261 | 1 | 1 | yes | characteristic |
| 322 | C22⋊C4 | — | 2 | 3 | no | — |
| 323 | C22⋊C4 | — | 26 | 1 | no | — |
| 324 | C22⋊C4 | — | 26 | 6 | no | — |
| 325 | C22⋊C4 | — | 26 | 3 | no | — |
| 326 | C22⋊C4 | — | 26 | 3 | no | — |
| 327 | C42 | — | 13 | 3 | no | — |
| 328 | C42 | — | 13 | 3 | no | — |
| 329 | C42 | — | 13 | 3 | no | — |
| 330 | C42 | — | 52 | 6 | no | — |
| 331 | C42 | C22×#261 | 1 | 3 | yes | — |
| 332 | C13 | #17618 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 333 | C23 | — | 2 | 3 | no | — |
| 334 | C23 | — | 13 | 1 | no | — |
| 335 | C23 | — | 26 | 1 | no | — |
| 336 | Q8 | — | 13 | 12 | no | — |
| 337 | Q8 | — | 52 | 6 | no | — |
| 338 | Q8 | — | 52 | 6 | no | — |
| 339 | Q8 | #88115 | 1 | 4 | yes | — |
| 340 | D4 | — | 4 | 3 | no | — |
| 341 | D4 | — | 4 | 6 | no | — |
| 342 | D4 | — | 8 | 3 | no | — |
| 343 | D4 | — | 52 | 1 | no | — |
| 344 | D4 | — | 52 | 1 | no | — |
| 345 | D4 | — | 52 | 1 | no | — |
| 346 | D4 | — | 52 | 6 | no | — |
| 347 | D4 | — | 52 | 3 | no | — |
| 348 | D4 | — | 52 | 3 | no | — |
| 349 | D4 | — | 104 | 3 | no | — |
| 350 | C2×C4 | — | 2 | 1 | no | — |
| 351 | C2×C4 | — | 4 | 6 | no | — |
| 352 | C2×C4 | — | 13 | 3 | no | — |
| 353 | C2×C4 | — | 13 | 6 | no | — |
| 354 | C2×C4 | — | 13 | 6 | no | — |
| 355 | C2×C4 | — | 13 | 1 | no | — |
| 356 | C2×C4 | — | 13 | 3 | no | — |
| 357 | C2×C4 | — | 26 | 2 | no | — |
| 358 | C2×C4 | — | 26 | 3 | no | — |
| 359 | C2×C4 | — | 52 | 3 | no | — |
| 360 | C2×C4 | — | 52 | 1 | no | — |
| 361 | C2×C4 | — | 52 | 12 | no | — |
| 362 | C2×C4 | — | 52 | 1 | no | — |
| 363 | C2×C4 | — | 52 | 1 | no | — |
| 364 | C2×C4 | — | 52 | 6 | no | — |
| 365 | C2×C4 | — | 52 | 3 | no | — |
| 366 | C2×C4 | — | 52 | 3 | no | — |
| 367 | C2×C4 | — | 52 | 3 | no | — |
| 368 | C2×C4 | C2×C22⋊#261 | 1 | 3 | yes | — |
| 369 | C2×C4 | C2×C22⋊#261 | 1 | 3 | yes | — |
| 370 | C2×C4 | C23×#261 | 1 | 1 | yes | characteristic |
| 371 | C8 | — | 52 | 3 | no | — |
| 372 | C8 | — | 52 | 1 | no | — |
| 373 | C22 | — | 4 | 3 | no | — |
| 374 | C22 | — | 4 | 3 | no | — |
| 375 | C22 | — | 4 | 3 | no | — |
| 376 | C22 | — | 13 | 1 | no | — |
| 377 | C22 | — | 13 | 1 | no | — |
| 378 | C22 | — | 26 | 1 | no | — |
| 379 | C22 | — | 26 | 1 | no | — |
| 380 | C22 | — | 52 | 1 | no | — |
| 381 | C22 | — | 52 | 1 | no | — |
| 382 | C22 | — | 52 | 1 | no | — |
| 383 | C22 | C22×C22⋊#261 | 1 | 1 | yes | characteristic |
| 384 | C4 | — | 2 | 1 | no | — |
| 385 | C4 | — | 2 | 3 | no | — |
| 386 | C4 | — | 4 | 1 | no | — |
| 387 | C4 | — | 13 | 6 | no | — |
| 388 | C4 | — | 26 | 1 | no | — |
| 389 | C4 | — | 26 | 3 | no | — |
| 390 | C4 | — | 52 | 2 | no | — |
| 391 | C4 | — | 52 | 3 | no | — |
| 392 | C4 | — | 104 | 3 | no | — |
| 393 | C4 | C2×#88115 | 1 | 6 | yes | — |
| 394 | C2 | — | 8 | 3 | no | — |
| 395 | C2 | — | 26 | 1 | no | — |
| 396 | C2 | — | 26 | 1 | no | — |
| 397 | C2 | — | 104 | 1 | no | — |
| 398 | C2 | #13131438 | 1 | 1 | yes | characteristic |
| 399 | C2 | C22×#88115 | 1 | 1 | yes | characteristic |
| 400 | C2 | #13131466 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13131730 | C2 | semidirect |
| 2. #13131351 | C2 | semidirect |
| 3. #13130266 | C2 | semidirect |
| 4. #13130265 | C2 | semidirect |
| 5. #13130216 | C2 | semidirect |
| 6. #13130215 | C2 | semidirect |
| 10. C13×#550 | C4 | semidirect |
| 12. #11719423 | C4 | semidirect |
| 16. Q8×D52 | C4 | semidirect |
| 19. D4×Dic26 | C4 | semidirect |
| 182. #550 | #261 | semidirect |
| 332. C13 | #17618 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131730 | 2 |
| #13131351 | 2 |
| #13130266 | 2 |
| #13130265 | 2 |
| #13130216 | 2 |
| #13130215 | 2 |
| #13128601 | 2 |
| #17618 | 13 |