Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
502 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 502 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 | #13131722 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13130340 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13130196 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #13129730 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #13125278 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | C2×#88170 | — | 2 | 1 | no | — |
| 7 | C2×#88166 | — | 2 | 1 | no | — |
| 8 | #11719421 | C22 | 1 | 1 | yes | characteristic |
| 9 | #11719373 | C22 | 1 | 1 | yes | characteristic |
| 10 | #11719159 | — | 2 | 1 | no | — |
| 11 | #11719146 | — | 2 | 1 | no | — |
| 12 | #11719065 | — | 2 | 2 | no | — |
| 13 | #11719064 | — | 2 | 2 | no | — |
| 14 | #11719054 | C22 | 1 | 2 | yes | — |
| 15 | #11719049 | C22 | 1 | 2 | yes | — |
| 16 | C13×#496 | C4 | 1 | 1 | yes | characteristic |
| 17 | #11718828 | — | 2 | 1 | no | — |
| 18 | #11718815 | — | 2 | 1 | no | — |
| 19 | #11718735 | C4 | 1 | 1 | yes | characteristic |
| 20 | #11718721 | C4 | 1 | 1 | yes | characteristic |
| 21 | #11718376 | C4 | 1 | 1 | yes | characteristic |
| 22 | D13×#97 | C22 | 1 | 1 | yes | characteristic |
| 23 | #11718303 | — | 2 | 1 | no | — |
| 24 | #11718297 | — | 2 | 1 | no | — |
| 25 | D4⋊#1057 | — | 2 | 2 | no | — |
| 26 | D4⋊#1057 | — | 2 | 2 | no | — |
| 27 | C2×#6131 | D4 | 1 | 1 | yes | characteristic |
| 28 | C2×#6129 | — | 2 | 1 | no | — |
| 29 | C2×#6129 | D4 | 1 | 1 | yes | characteristic |
| 30 | C2×#6122 | — | 2 | 1 | no | — |
| 31 | C22×#1057 | — | 2 | 1 | no | — |
| 32 | C2×#6118 | — | 2 | 1 | no | — |
| 33 | C2×D13⋊C8 | — | 2 | 1 | no | — |
| 34 | C2×C13×SD16 | — | 2 | 1 | no | — |
| 35 | C2×C13×D8 | — | 2 | 1 | no | — |
| 36 | C13×#127 | C2×C4 | 1 | 1 | yes | characteristic |
| 37 | C13×#124 | C2×C4 | 1 | 1 | yes | characteristic |
| 38 | #88198 | D4 | 1 | 1 | yes | characteristic |
| 39 | C2×#6107 | — | 2 | 1 | no | — |
| 40 | #88194 | D4 | 1 | 1 | yes | characteristic |
| 41 | #88192 | — | 2 | 2 | no | — |
| 42 | #88190 | — | 2 | 1 | no | — |
| 43 | D4×Dic13 | — | 2 | 2 | no | — |
| 44 | C2×#6105 | — | 2 | 1 | no | — |
| 45 | C2×#6105 | — | 2 | 1 | no | — |
| 46 | C2×#6104 | — | 2 | 1 | no | — |
| 47 | #88170 | — | 4 | 2 | no | — |
| 48 | #88170 | — | 4 | 2 | no | — |
| 49 | #88166 | — | 4 | 2 | no | — |
| 50 | #88166 | — | 4 | 2 | no | — |
| 51 | C2×Dic52 | — | 2 | 1 | no | — |
| 52 | C2×#6095 | — | 2 | 1 | no | — |
| 53 | C2×C8×D13 | — | 2 | 1 | no | — |
| 54 | #88138 | — | 2 | 2 | no | — |
| 55 | #88135 | — | 2 | 2 | no | — |
| 56 | #88129 | C2×C4 | 1 | 1 | yes | characteristic |
| 57 | C42×D13 | C23 | 1 | 1 | yes | characteristic |
| 58 | #88123 | C2×C4 | 1 | 1 | yes | characteristic |
| 59 | C22⋊#1057 | — | 2 | 2 | no | — |
| 60 | #88112 | — | 2 | 2 | no | — |
| 61 | #88111 | — | 2 | 2 | no | — |
| 62 | #88111 | — | 2 | 2 | no | — |
| 63 | #88111 | — | 2 | 2 | no | — |
| 64 | #88110 | — | 2 | 2 | no | — |
| 65 | C4⋊#1057 | D4 | 1 | 2 | yes | — |
| 66 | C4⋊#1057 | D4 | 1 | 2 | yes | — |
| 67 | C4×#1057 | — | 2 | 2 | no | — |
| 68 | C13×#97 | C2×C4 | 1 | 1 | yes | characteristic |
| 69 | #88055 | — | 2 | 1 | no | — |
| 70 | #88043 | C2×C4 | 1 | 1 | yes | characteristic |
| 71 | #9007 | — | 13 | 1 | no | maximal, Sylow |
| 72 | C2×Q8×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 73 | C2×D4×C13 | — | 2 | 1 | no | — |
| 74 | C2×D4×C13 | — | 2 | 2 | no | — |
| 75 | C2×D4×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 76 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 77 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 78 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 79 | C22×Dic13 | — | 2 | 1 | no | — |
| 80 | C22×Dic13 | — | 4 | 1 | no | — |
| 81 | #6131 | — | 4 | 1 | no | — |
| 82 | #6131 | — | 4 | 1 | no | — |
| 83 | #6129 | — | 4 | 1 | no | — |
| 84 | #6129 | — | 4 | 1 | no | — |
| 85 | #6129 | — | 4 | 1 | no | — |
| 86 | #6129 | — | 4 | 1 | no | — |
| 87 | #6129 | — | 4 | 1 | no | — |
| 88 | #6129 | — | 4 | 1 | no | — |
| 89 | C2×D52 | — | 2 | 1 | no | — |
| 90 | C2×D52 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 91 | C2×C4×D13 | — | 2 | 1 | no | — |
| 92 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 93 | C2×C4×D13 | #41 | 1 | 2 | yes | — |
| 94 | C2×Dic26 | — | 2 | 1 | no | — |
| 95 | C2×Dic26 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 96 | #6122 | — | 8 | 1 | no | — |
| 97 | C2×#1057 | — | 2 | 2 | no | — |
| 98 | C2×#1057 | — | 2 | 2 | no | — |
| 99 | C2×#1057 | — | 4 | 2 | no | — |
| 100 | C2×#1057 | — | 8 | 1 | no | — |
| 101 | #6118 | — | 8 | 1 | no | — |
| 102 | D13⋊C8 | — | 8 | 1 | no | — |
| 103 | C13×SD16 | — | 4 | 2 | no | — |
| 104 | C13×D8 | — | 4 | 2 | no | — |
| 105 | C2×C8×C13 | — | 2 | 1 | no | — |
| 106 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 107 | C42×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 108 | C22⋊Dic13 | — | 4 | 2 | no | — |
| 109 | #6107 | — | 4 | 2 | no | — |
| 110 | #6105 | — | 4 | 2 | no | — |
| 111 | #6105 | — | 4 | 2 | no | — |
| 112 | #6104 | — | 4 | 2 | no | — |
| 113 | #6103 | — | 2 | 2 | no | — |
| 114 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 115 | #6101 | — | 2 | 2 | no | — |
| 116 | C4×Dic13 | C2×D4 | 1 | 2 | yes | — |
| 117 | C4×Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 118 | C2×#1055 | — | 2 | 1 | no | — |
| 119 | Dic52 | — | 4 | 2 | no | — |
| 120 | #6095 | — | 4 | 2 | no | — |
| 121 | C8×D13 | — | 2 | 2 | no | — |
| 122 | C8×D13 | — | 2 | 2 | no | — |
| 123 | #3150 | — | 13 | 1 | no | — |
| 124 | #2980 | — | 13 | 1 | no | — |
| 125 | #1543 | — | 13 | 1 | no | — |
| 126 | #1496 | — | 13 | 2 | no | — |
| 127 | #1302 | — | 13 | 2 | no | — |
| 128 | C23×C13 | — | 2 | 1 | no | — |
| 129 | C23×C13 | — | 4 | 1 | no | — |
| 130 | C22×D13 | — | 2 | 1 | no | — |
| 131 | C22×D13 | #123 | 1 | 1 | yes | characteristic |
| 132 | Q8×C13 | — | 4 | 1 | no | — |
| 133 | D4×C13 | — | 4 | 1 | no | — |
| 134 | D4×C13 | — | 4 | 1 | no | — |
| 135 | D4×C13 | — | 4 | 1 | no | — |
| 136 | D4×C13 | — | 4 | 4 | no | — |
| 137 | C2×C4×C13 | — | 2 | 1 | no | — |
| 138 | C2×C4×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 139 | C2×C4×C13 | C4×D4 | 1 | 2 | yes | — |
| 140 | C22⋊D13 | — | 8 | 2 | no | — |
| 141 | C22⋊D13 | — | 8 | 1 | no | — |
| 142 | C22⋊D13 | — | 8 | 1 | no | — |
| 143 | C22⋊D13 | — | 8 | 1 | no | — |
| 144 | C2×Dic13 | — | 2 | 1 | no | — |
| 145 | C2×Dic13 | — | 4 | 1 | no | — |
| 146 | C2×Dic13 | — | 4 | 1 | no | — |
| 147 | C2×Dic13 | — | 4 | 1 | no | — |
| 148 | C2×Dic13 | — | 8 | 1 | no | — |
| 149 | C2×Dic13 | — | 8 | 1 | no | — |
| 150 | C2×Dic13 | #120 | 1 | 1 | yes | characteristic |
| 151 | C2×Dic13 | #121 | 1 | 2 | yes | — |
| 152 | D52 | — | 4 | 1 | no | — |
| 153 | D52 | — | 8 | 1 | no | — |
| 154 | C4×D13 | — | 2 | 1 | no | — |
| 155 | C4×D13 | — | 2 | 1 | no | — |
| 156 | C4×D13 | — | 4 | 2 | no | — |
| 157 | C4×D13 | — | 4 | 1 | no | — |
| 158 | C4×D13 | — | 4 | 1 | no | — |
| 159 | Dic26 | — | 4 | 1 | no | — |
| 160 | Dic26 | — | 4 | 1 | no | — |
| 161 | Dic26 | — | 4 | 1 | no | — |
| 162 | #1057 | — | 4 | 2 | no | — |
| 163 | #1057 | — | 4 | 2 | no | — |
| 164 | #1057 | — | 8 | 2 | no | — |
| 165 | C8×C13 | — | 2 | 2 | no | — |
| 166 | #1055 | — | 2 | 2 | no | — |
| 167 | C2×#135 | — | 26 | 1 | no | — |
| 168 | C2×#135 | — | 26 | 1 | no | — |
| 169 | #532 | — | 13 | 1 | no | — |
| 170 | #532 | — | 13 | 1 | no | — |
| 171 | #497 | — | 13 | 1 | no | — |
| 172 | #497 | — | 13 | 1 | no | — |
| 173 | #497 | — | 26 | 1 | no | — |
| 174 | #496 | — | 13 | 1 | no | — |
| 175 | #496 | — | 26 | 1 | no | — |
| 176 | #496 | #261 | 1 | 1 | yes | characteristic |
| 177 | #435 | — | 26 | 2 | no | — |
| 178 | #435 | — | 26 | 2 | no | — |
| 179 | #432 | — | 13 | 2 | no | — |
| 180 | #431 | — | 13 | 2 | no | — |
| 181 | #408 | — | 26 | 1 | no | — |
| 182 | #408 | — | 26 | 1 | no | — |
| 183 | C2×#97 | — | 13 | 1 | no | — |
| 184 | #333 | — | 26 | 1 | no | — |
| 185 | #331 | — | 26 | 1 | no | — |
| 186 | D4⋊C8 | — | 26 | 2 | no | — |
| 187 | D4⋊C8 | — | 26 | 2 | no | — |
| 188 | C22×C13 | — | 4 | 2 | no | — |
| 189 | C22×C13 | — | 4 | 1 | no | — |
| 190 | C22×C13 | — | 8 | 2 | no | — |
| 191 | C22×C13 | — | 8 | 1 | no | — |
| 192 | C22×C13 | #386 | 1 | 1 | yes | characteristic |
| 193 | C2×D13 | — | 2 | 2 | no | — |
| 194 | C2×D13 | — | 2 | 1 | no | — |
| 195 | C2×D13 | — | 4 | 2 | no | — |
| 196 | C2×D13 | — | 4 | 1 | no | — |
| 197 | C4×C13 | — | 2 | 2 | no | — |
| 198 | C4×C13 | — | 2 | 1 | no | — |
| 199 | C4×C13 | — | 4 | 1 | no | — |
| 200 | Dic13 | — | 2 | 2 | no | — |
| 201 | Dic13 | — | 4 | 1 | no | — |
| 202 | Dic13 | — | 8 | 1 | no | — |
| 203 | Dic13 | #453 | 1 | 1 | yes | characteristic |
| 204 | Dic13 | #453 | 1 | 1 | yes | characteristic |
| 205 | C2×#41 | — | 13 | 1 | no | — |
| 206 | C2×#41 | — | 13 | 1 | no | — |
| 207 | C2×#41 | — | 26 | 1 | no | — |
| 208 | #135 | — | 52 | 2 | no | — |
| 209 | #135 | — | 52 | 2 | no | — |
| 210 | #135 | — | 52 | 2 | no | — |
| 211 | #135 | — | 52 | 2 | no | — |
| 212 | C2×Q16 | — | 26 | 1 | no | — |
| 213 | C2×Q16 | — | 26 | 1 | no | — |
| 214 | C2×SD16 | — | 2 | 1 | no | — |
| 215 | C2×SD16 | — | 26 | 1 | no | — |
| 216 | C2×SD16 | — | 26 | 1 | no | — |
| 217 | C2×SD16 | — | 26 | 1 | no | — |
| 218 | C2×D8 | — | 2 | 1 | no | — |
| 219 | C2×D8 | — | 26 | 1 | no | — |
| 220 | C2×M16 | — | 26 | 1 | no | — |
| 221 | C2×M16 | — | 26 | 1 | no | — |
| 222 | C22×C8 | — | 26 | 1 | no | — |
| 223 | C22×C8 | — | 26 | 1 | no | — |
| 224 | C22×C8 | — | 26 | 1 | no | — |
| 225 | C4⋊Q8 | — | 13 | 1 | no | — |
| 226 | C4⋊Q8 | — | 13 | 1 | no | — |
| 227 | #127 | — | 13 | 1 | no | — |
| 228 | #127 | C2×#261 | 1 | 1 | yes | characteristic |
| 229 | #124 | — | 13 | 1 | no | — |
| 230 | #124 | — | 26 | 1 | no | — |
| 231 | #124 | C2×#261 | 1 | 1 | yes | characteristic |
| 232 | #121 | — | 26 | 2 | no | — |
| 233 | #121 | — | 26 | 2 | no | — |
| 234 | C4×D4 | — | 26 | 2 | no | — |
| 235 | C4×D4 | — | 26 | 2 | no | — |
| 236 | C2×C42 | — | 13 | 1 | no | — |
| 237 | C4⋊C8 | — | 13 | 2 | no | — |
| 238 | C4⋊C8 | — | 13 | 2 | no | — |
| 239 | C4⋊C8 | — | 26 | 2 | no | — |
| 240 | C22⋊C8 | — | 26 | 2 | no | — |
| 241 | C22⋊C8 | — | 26 | 2 | no | — |
| 242 | C22⋊C8 | — | 26 | 2 | no | — |
| 243 | C22⋊C8 | — | 26 | 2 | no | — |
| 244 | #97 | — | 13 | 1 | no | — |
| 245 | #97 | — | 26 | 1 | no | — |
| 246 | #97 | — | 26 | 2 | no | — |
| 247 | #97 | C2×#261 | 1 | 1 | yes | characteristic |
| 248 | C4×C8 | — | 26 | 2 | no | — |
| 249 | C2×C13 | — | 8 | 1 | no | — |
| 250 | C2×C13 | — | 16 | 1 | no | — |
| 251 | C2×C13 | #1881 | 1 | 2 | yes | — |
| 252 | C2×C13 | #1887 | 1 | 1 | yes | characteristic |
| 253 | D13 | — | 4 | 1 | no | — |
| 254 | D13 | — | 8 | 1 | no | — |
| 255 | #41 | — | 52 | 1 | no | — |
| 256 | #41 | — | 52 | 1 | no | — |
| 257 | #41 | — | 52 | 1 | no | — |
| 258 | #41 | — | 52 | 1 | no | — |
| 259 | #41 | — | 52 | 1 | no | — |
| 260 | #41 | — | 52 | 1 | no | — |
| 261 | #41 | — | 52 | 1 | no | — |
| 262 | #41 | — | 52 | 1 | no | — |
| 263 | C2×Q8 | — | 13 | 1 | no | — |
| 264 | C2×Q8 | — | 26 | 1 | no | — |
| 265 | C2×Q8 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 266 | C2×D4 | — | 2 | 2 | no | — |
| 267 | C2×D4 | — | 2 | 1 | no | — |
| 268 | C2×D4 | — | 13 | 1 | no | — |
| 269 | C2×D4 | — | 26 | 1 | no | — |
| 270 | C2×D4 | — | 26 | 2 | no | — |
| 271 | C2×D4 | — | 26 | 1 | no | — |
| 272 | C2×D4 | — | 52 | 1 | no | — |
| 273 | C2×D4 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 274 | C22×C4 | — | 13 | 1 | no | — |
| 275 | C22×C4 | — | 13 | 2 | no | — |
| 276 | C22×C4 | — | 26 | 1 | no | — |
| 277 | C22×C4 | — | 26 | 1 | no | — |
| 278 | C22×C4 | — | 52 | 1 | no | — |
| 279 | Q16 | — | 52 | 2 | no | — |
| 280 | Q16 | — | 52 | 2 | no | — |
| 281 | SD16 | — | 4 | 2 | no | — |
| 282 | SD16 | — | 52 | 2 | no | — |
| 283 | SD16 | — | 52 | 2 | no | — |
| 284 | SD16 | — | 52 | 2 | no | — |
| 285 | D8 | — | 4 | 2 | no | — |
| 286 | D8 | — | 52 | 2 | no | — |
| 287 | M16 | — | 104 | 1 | no | — |
| 288 | M16 | — | 104 | 1 | no | — |
| 289 | C2×C8 | — | 2 | 1 | no | — |
| 290 | C2×C8 | — | 26 | 2 | no | — |
| 291 | C2×C8 | — | 26 | 2 | no | — |
| 292 | C2×C8 | — | 26 | 1 | no | — |
| 293 | C2×C8 | — | 26 | 2 | no | — |
| 294 | C2×C8 | — | 26 | 2 | no | — |
| 295 | C2×C8 | — | 52 | 2 | no | — |
| 296 | C2×C8 | — | 104 | 1 | no | — |
| 297 | C2×C8 | — | 104 | 1 | no | — |
| 298 | C4⋊C4 | — | 26 | 2 | no | — |
| 299 | C4⋊C4 | — | 26 | 2 | no | — |
| 300 | C22⋊C4 | — | 2 | 2 | no | — |
| 301 | C22⋊C4 | — | 26 | 2 | no | — |
| 302 | C22⋊C4 | — | 52 | 2 | no | — |
| 303 | C42 | — | 13 | 2 | no | — |
| 304 | C42 | — | 13 | 1 | no | — |
| 305 | C42 | C22×#261 | 1 | 1 | yes | characteristic |
| 306 | C13 | #9007 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 307 | C23 | — | 2 | 1 | no | — |
| 308 | C23 | — | 4 | 1 | no | — |
| 309 | C23 | — | 13 | 1 | no | — |
| 310 | C23 | — | 26 | 1 | no | — |
| 311 | Q8 | — | 4 | 1 | no | — |
| 312 | Q8 | — | 52 | 1 | no | — |
| 313 | Q8 | — | 52 | 1 | no | — |
| 314 | Q8 | — | 52 | 1 | no | — |
| 315 | D4 | — | 4 | 1 | no | — |
| 316 | D4 | — | 4 | 1 | no | — |
| 317 | D4 | — | 4 | 1 | no | — |
| 318 | D4 | — | 4 | 4 | no | — |
| 319 | D4 | — | 52 | 1 | no | — |
| 320 | D4 | — | 104 | 1 | no | — |
| 321 | D4 | — | 104 | 2 | no | — |
| 322 | D4 | — | 104 | 1 | no | — |
| 323 | D4 | — | 104 | 1 | no | — |
| 324 | D4 | — | 104 | 1 | no | — |
| 325 | C2×C4 | — | 2 | 1 | no | — |
| 326 | C2×C4 | — | 13 | 1 | no | — |
| 327 | C2×C4 | — | 13 | 2 | no | — |
| 328 | C2×C4 | — | 26 | 1 | no | — |
| 329 | C2×C4 | — | 26 | 1 | no | — |
| 330 | C2×C4 | — | 26 | 1 | no | — |
| 331 | C2×C4 | — | 52 | 2 | no | — |
| 332 | C2×C4 | — | 52 | 1 | no | — |
| 333 | C2×C4 | — | 52 | 1 | no | — |
| 334 | C2×C4 | — | 52 | 1 | no | — |
| 335 | C2×C4 | — | 52 | 1 | no | — |
| 336 | C2×C4 | — | 52 | 1 | no | — |
| 337 | C2×C4 | — | 104 | 1 | no | — |
| 338 | C2×C4 | — | 104 | 1 | no | — |
| 339 | C2×C4 | D4×#261 | 1 | 2 | yes | — |
| 340 | C2×C4 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 341 | C8 | — | 2 | 2 | no | — |
| 342 | C8 | — | 26 | 2 | no | — |
| 343 | C8 | — | 52 | 2 | no | — |
| 344 | C8 | — | 52 | 2 | no | — |
| 345 | C8 | — | 104 | 2 | no | — |
| 346 | C22 | — | 4 | 2 | no | — |
| 347 | C22 | — | 4 | 1 | no | — |
| 348 | C22 | — | 8 | 2 | no | — |
| 349 | C22 | — | 8 | 1 | no | — |
| 350 | C22 | — | 26 | 2 | no | — |
| 351 | C22 | — | 26 | 1 | no | — |
| 352 | C22 | — | 52 | 2 | no | — |
| 353 | C22 | — | 52 | 1 | no | — |
| 354 | C22 | #11719150 | 1 | 1 | yes | characteristic |
| 355 | C4 | — | 2 | 2 | no | — |
| 356 | C4 | — | 2 | 1 | no | — |
| 357 | C4 | — | 4 | 1 | no | — |
| 358 | C4 | — | 13 | 1 | no | — |
| 359 | C4 | — | 13 | 1 | no | — |
| 360 | C4 | — | 26 | 2 | no | — |
| 361 | C4 | — | 52 | 1 | no | — |
| 362 | C4 | — | 104 | 1 | no | — |
| 363 | C2 | — | 8 | 1 | no | — |
| 364 | C2 | — | 16 | 1 | no | — |
| 365 | C2 | — | 52 | 1 | no | — |
| 366 | C2 | — | 104 | 1 | no | — |
| 367 | C2 | #13130834 | 1 | 2 | yes | — |
| 368 | C2 | #13130843 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13131722 | C2 | semidirect |
| 2. #13130340 | C2 | semidirect |
| 3. #13130196 | C2 | semidirect |
| 4. #13129730 | C2 | semidirect |
| 306. C13 | #9007 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131722 | 2 |
| #13130340 | 2 |
| #13130196 | 2 |
| #13129730 | 2 |
| #13125278 | 2 |
| #9007 | 13 |