Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
624 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 624 conjugacy classes of subgroups — too many to draw. Only its 91 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 | #13124184 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13123907 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13114802 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #13112964 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | C13×#2126 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11719648 | C22 | 1 | 1 | yes | characteristic |
| 7 | C13×#532 | C22 | 1 | 1 | yes | characteristic |
| 8 | #11719527 | — | 2 | 1 | no | — |
| 9 | C13×#410 | C22 | 1 | 2 | yes | — |
| 10 | #11718898 | C22 | 1 | 1 | yes | characteristic |
| 11 | #11718895 | — | 2 | 1 | no | — |
| 12 | #11718895 | C22 | 1 | 2 | yes | — |
| 13 | #11718756 | C4 | 1 | 2 | yes | complemented |
| 14 | #11718738 | — | 2 | 1 | no | — |
| 15 | #11718723 | C4 | 1 | 2 | yes | complemented |
| 16 | #11718722 | — | 2 | 1 | no | — |
| 17 | #11718672 | — | 2 | 2 | no | — |
| 18 | #11718672 | — | 2 | 2 | no | — |
| 19 | #11718666 | — | 2 | 2 | no | — |
| 20 | #11718663 | — | 2 | 2 | no | — |
| 21 | C2×#88045 | — | 2 | 1 | no | — |
| 22 | #11718587 | — | 2 | 1 | no | — |
| 23 | C13×#354 | — | 2 | 1 | no | — |
| 24 | C13×#353 | — | 2 | 1 | no | — |
| 25 | C2×C13×#41 | D4 | 1 | 1 | yes | characteristic |
| 26 | C2×C13×#41 | C23 | 1 | 1 | yes | characteristic |
| 27 | #88257 | — | 4 | 1 | no | — |
| 28 | #88256 | — | 4 | 1 | no | — |
| 29 | #41×D13 | — | 4 | 2 | no | — |
| 30 | #88254 | C2×C4 | 1 | 2 | yes | — |
| 31 | #88251 | — | 2 | 1 | no | — |
| 32 | #88251 | — | 2 | 2 | no | — |
| 33 | C2×#6127 | — | 2 | 2 | no | — |
| 34 | C2×#6127 | — | 2 | 1 | no | — |
| 35 | C13×C4⋊Q8 | C2×C4 | 1 | 1 | yes | characteristic |
| 36 | C13×#127 | D4 | 1 | 1 | yes | characteristic |
| 37 | C13×#124 | C2×C4 | 1 | 1 | yes | characteristic |
| 38 | C13×#124 | D4 | 1 | 1 | yes | characteristic |
| 39 | C13×#121 | — | 2 | 2 | no | — |
| 40 | C4×D4×C13 | — | 2 | 2 | no | — |
| 41 | C13×#117 | — | 2 | 2 | no | — |
| 42 | C2×C42×C13 | D4 | 1 | 1 | yes | characteristic |
| 43 | #88205 | — | 4 | 1 | no | — |
| 44 | #88204 | — | 4 | 2 | no | — |
| 45 | #88203 | — | 4 | 1 | no | — |
| 46 | #88196 | — | 2 | 2 | no | — |
| 47 | #88186 | — | 2 | 2 | no | — |
| 48 | C2×#6099 | — | 2 | 1 | no | — |
| 49 | C2×#6099 | — | 2 | 1 | no | — |
| 50 | C2×#6099 | D4 | 1 | 2 | yes | — |
| 51 | C22×#1055 | — | 2 | 1 | no | — |
| 52 | C22×#1055 | D4 | 1 | 2 | yes | — |
| 53 | C13×#99 | — | 2 | 2 | no | — |
| 54 | C13×#99 | — | 2 | 2 | no | — |
| 55 | #88076 | C2×C4 | 1 | 2 | yes | — |
| 56 | #88073 | — | 2 | 1 | no | — |
| 57 | C22⋊#1055 | — | 2 | 2 | no | — |
| 58 | C22⋊#1055 | — | 2 | 2 | no | — |
| 59 | C22⋊#1055 | — | 2 | 2 | no | — |
| 60 | #88050 | — | 4 | 2 | no | — |
| 61 | #88049 | — | 4 | 2 | no | — |
| 62 | #88045 | — | 2 | 2 | no | — |
| 63 | #88045 | — | 2 | 2 | no | — |
| 64 | #88045 | — | 4 | 4 | no | — |
| 65 | C4⋊#1055 | — | 2 | 1 | no | — |
| 66 | C4⋊#1055 | — | 2 | 1 | no | — |
| 67 | #88043 | — | 2 | 2 | no | — |
| 68 | #13053 | — | 13 | 1 | no | maximal, Sylow |
| 69 | C13×#41 | — | 4 | 1 | no | — |
| 70 | C13×#41 | — | 4 | 1 | no | — |
| 71 | C13×#41 | — | 4 | 1 | no | — |
| 72 | C13×#41 | — | 4 | 1 | no | — |
| 73 | C2×Q8×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 74 | C2×Q8×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 75 | C2×D4×C13 | — | 2 | 2 | no | — |
| 76 | C2×D4×C13 | — | 2 | 1 | no | — |
| 77 | C2×D4×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 78 | C2×D4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 79 | C2×D4×C13 | #41 | 1 | 2 | yes | — |
| 80 | C22×C4×C13 | — | 2 | 1 | no | — |
| 81 | C22×C4×C13 | — | 2 | 1 | no | — |
| 82 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 83 | C22×C4×C13 | C2×D4 | 1 | 2 | yes | — |
| 84 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 85 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 86 | #6131 | — | 4 | 2 | no | — |
| 87 | Q8×D13 | — | 4 | 2 | no | — |
| 88 | #6129 | — | 4 | 2 | no | — |
| 89 | #6129 | — | 4 | 4 | no | — |
| 90 | D4×D13 | — | 4 | 2 | no | — |
| 91 | D4×D13 | — | 4 | 4 | no | — |
| 92 | #6127 | — | 2 | 2 | no | — |
| 93 | #6127 | — | 2 | 4 | no | — |
| 94 | #6127 | — | 2 | 2 | no | — |
| 95 | #6127 | — | 2 | 4 | no | — |
| 96 | #6127 | — | 4 | 2 | no | — |
| 97 | #6127 | — | 4 | 1 | no | — |
| 98 | #6127 | — | 4 | 1 | no | — |
| 99 | C2×D52 | — | 2 | 1 | no | — |
| 100 | C2×D52 | — | 2 | 2 | no | — |
| 101 | C2×C4×D13 | — | 4 | 1 | no | — |
| 102 | C2×C4×D13 | — | 4 | 2 | no | — |
| 103 | C2×Dic26 | — | 2 | 1 | no | — |
| 104 | C2×Dic26 | — | 2 | 2 | no | — |
| 105 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 106 | C13×C4⋊C4 | — | 4 | 2 | no | — |
| 107 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 108 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 109 | C13×C22⋊C4 | — | 4 | 2 | no | — |
| 110 | C42×C13 | — | 2 | 1 | no | — |
| 111 | C42×C13 | — | 4 | 2 | no | — |
| 112 | C42×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 113 | C42×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 114 | #6107 | — | 4 | 2 | no | — |
| 115 | #6106 | — | 4 | 2 | no | — |
| 116 | #6105 | — | 4 | 2 | no | — |
| 117 | #6104 | — | 4 | 2 | no | — |
| 118 | #6099 | — | 2 | 2 | no | — |
| 119 | #6099 | — | 4 | 1 | no | — |
| 120 | #6099 | — | 4 | 2 | no | — |
| 121 | #6099 | — | 8 | 1 | no | — |
| 122 | C2×#1055 | — | 2 | 2 | no | — |
| 123 | C2×#1055 | — | 2 | 2 | no | — |
| 124 | C2×#1055 | — | 4 | 1 | no | — |
| 125 | C2×#1055 | — | 4 | 2 | no | — |
| 126 | C2×#1055 | — | 8 | 1 | no | — |
| 127 | #3018 | — | 13 | 1 | no | — |
| 128 | #2980 | — | 13 | 1 | no | — |
| 129 | #2126 | D13 | 1 | 1 | yes | characteristic, complemented |
| 130 | #1794 | — | 13 | 2 | no | — |
| 131 | #1395 | — | 13 | 2 | no | — |
| 132 | C23×C13 | — | 2 | 1 | no | — |
| 133 | C23×C13 | #121 | 1 | 2 | yes | — |
| 134 | C23×C13 | #123 | 1 | 1 | yes | characteristic |
| 135 | C22×D13 | — | 4 | 2 | no | — |
| 136 | C22×D13 | — | 4 | 1 | no | — |
| 137 | Q8×C13 | — | 4 | 1 | no | — |
| 138 | Q8×C13 | — | 4 | 1 | no | — |
| 139 | D4×C13 | — | 4 | 1 | no | — |
| 140 | D4×C13 | — | 4 | 2 | no | — |
| 141 | D4×C13 | — | 4 | 1 | no | — |
| 142 | D4×C13 | — | 8 | 1 | no | — |
| 143 | D4×C13 | — | 8 | 2 | no | — |
| 144 | C2×C4×C13 | — | 2 | 2 | no | — |
| 145 | C2×C4×C13 | — | 2 | 1 | no | — |
| 146 | C2×C4×C13 | — | 2 | 2 | no | — |
| 147 | C2×C4×C13 | — | 2 | 1 | no | — |
| 148 | C2×C4×C13 | — | 2 | 1 | no | — |
| 149 | C2×C4×C13 | — | 2 | 1 | no | — |
| 150 | C2×C4×C13 | — | 2 | 1 | no | — |
| 151 | C2×C4×C13 | — | 4 | 1 | no | — |
| 152 | C2×C4×C13 | — | 4 | 1 | no | — |
| 153 | C2×C4×C13 | — | 8 | 1 | no | — |
| 154 | C2×C4×C13 | — | 8 | 2 | no | — |
| 155 | C2×C4×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 156 | C2×C4×C13 | C4×D4 | 1 | 2 | yes | — |
| 157 | C2×C4×C13 | #120 | 1 | 1 | yes | characteristic |
| 158 | C22⋊D13 | — | 4 | 4 | no | — |
| 159 | C22⋊D13 | — | 4 | 2 | no | — |
| 160 | C22⋊D13 | — | 4 | 2 | no | — |
| 161 | C2×Dic13 | — | 4 | 2 | no | — |
| 162 | C2×Dic13 | — | 4 | 1 | no | — |
| 163 | D52 | — | 2 | 2 | no | — |
| 164 | D52 | — | 2 | 4 | no | — |
| 165 | D52 | — | 4 | 1 | no | — |
| 166 | C4×D13 | — | 4 | 2 | no | — |
| 167 | C4×D13 | — | 4 | 4 | no | — |
| 168 | C4×D13 | — | 4 | 2 | no | — |
| 169 | Dic26 | — | 2 | 2 | no | — |
| 170 | Dic26 | — | 2 | 4 | no | — |
| 171 | Dic26 | — | 4 | 1 | no | — |
| 172 | #1055 | — | 4 | 2 | no | — |
| 173 | #1055 | — | 4 | 2 | no | — |
| 174 | #1055 | — | 4 | 2 | no | — |
| 175 | #585 | — | 13 | 1 | no | — |
| 176 | #575 | — | 26 | 1 | no | — |
| 177 | #532 | C2×D13 | 1 | 1 | yes | characteristic |
| 178 | #456 | — | 13 | 2 | no | — |
| 179 | #455 | — | 26 | 1 | no | — |
| 180 | #454 | — | 13 | 2 | no | — |
| 181 | #453 | — | 26 | 1 | no | — |
| 182 | #435 | — | 26 | 2 | no | — |
| 183 | #435 | — | 26 | 2 | no | — |
| 184 | #432 | — | 26 | 1 | no | — |
| 185 | #421 | — | 26 | 2 | no | — |
| 186 | C2×#104 | — | 26 | 1 | no | — |
| 187 | #416 | — | 26 | 2 | no | — |
| 188 | #413 | — | 13 | 1 | no | — |
| 189 | #410 | C2×D13 | 1 | 2 | yes | — |
| 190 | #408 | — | 13 | 2 | no | — |
| 191 | #408 | — | 26 | 1 | no | — |
| 192 | #354 | — | 2 | 1 | no | — |
| 193 | #353 | — | 2 | 1 | no | — |
| 194 | C22×C13 | — | 2 | 2 | no | — |
| 195 | C22×C13 | — | 2 | 1 | no | — |
| 196 | C22×C13 | — | 4 | 1 | no | — |
| 197 | C22×C13 | — | 4 | 2 | no | — |
| 198 | C22×C13 | — | 4 | 2 | no | — |
| 199 | C22×C13 | — | 4 | 1 | no | — |
| 200 | C22×C13 | #386 | 1 | 1 | yes | characteristic |
| 201 | C2×D13 | — | 4 | 2 | no | — |
| 202 | C2×D13 | — | 16 | 2 | no | — |
| 203 | C2×D13 | — | 16 | 1 | no | — |
| 204 | C4×C13 | — | 2 | 1 | no | — |
| 205 | C4×C13 | — | 2 | 2 | no | — |
| 206 | C4×C13 | — | 4 | 1 | no | — |
| 207 | C4×C13 | — | 4 | 1 | no | — |
| 208 | C4×C13 | — | 4 | 1 | no | — |
| 209 | C4×C13 | — | 16 | 2 | no | — |
| 210 | C4×C13 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 211 | C4×C13 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 212 | Dic13 | — | 4 | 2 | no | — |
| 213 | 2−1+4 | — | 13 | 2 | no | — |
| 214 | 2−1+4 | — | 52 | 1 | no | — |
| 215 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 216 | H(5,𝔽2) | — | 26 | 1 | no | — |
| 217 | H(5,𝔽2) | — | 52 | 1 | no | — |
| 218 | C2×#41 | — | 26 | 1 | no | — |
| 219 | C2×#41 | — | 26 | 2 | no | — |
| 220 | C2×#41 | — | 52 | 2 | no | — |
| 221 | C2×#41 | D52 | 1 | 1 | yes | characteristic |
| 222 | C2×#41 | C22×D13 | 1 | 1 | yes | characteristic |
| 223 | #137 | — | 26 | 2 | no | — |
| 224 | #137 | — | 52 | 1 | no | — |
| 225 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 226 | AGL(1,ℤ/8) | — | 52 | 1 | no | — |
| 227 | #135 | — | 52 | 2 | no | — |
| 228 | C2×M16 | — | 13 | 2 | no | — |
| 229 | C2×M16 | — | 26 | 1 | no | — |
| 230 | C2×M16 | — | 26 | 1 | no | — |
| 231 | C22×C8 | — | 13 | 2 | no | — |
| 232 | C22×C8 | — | 26 | 1 | no | — |
| 233 | C4⋊Q8 | C4×D13 | 1 | 1 | yes | characteristic |
| 234 | #127 | C22⋊D13 | 1 | 1 | yes | characteristic |
| 235 | #124 | C4×D13 | 1 | 1 | yes | characteristic |
| 236 | #124 | C22⋊D13 | 1 | 1 | yes | characteristic |
| 237 | #121 | — | 2 | 2 | no | — |
| 238 | C4×D4 | — | 2 | 2 | no | — |
| 239 | #117 | — | 2 | 2 | no | — |
| 240 | C2×C42 | D52 | 1 | 1 | yes | characteristic |
| 241 | C4⋊C8 | — | 26 | 1 | no | — |
| 242 | C4⋊C8 | — | 26 | 1 | no | — |
| 243 | #104 | — | 26 | 2 | no | — |
| 244 | #104 | — | 26 | 2 | no | — |
| 245 | #104 | — | 52 | 4 | no | — |
| 246 | #103 | — | 52 | 2 | no | — |
| 247 | #102 | — | 52 | 2 | no | — |
| 248 | #101 | — | 13 | 2 | no | — |
| 249 | #100 | — | 26 | 1 | no | — |
| 250 | #99 | — | 2 | 2 | no | — |
| 251 | #99 | — | 2 | 2 | no | — |
| 252 | C22⋊C8 | — | 26 | 2 | no | — |
| 253 | C22⋊C8 | — | 26 | 2 | no | — |
| 254 | C22⋊C8 | — | 26 | 2 | no | — |
| 255 | #97 | — | 26 | 2 | no | — |
| 256 | C2×C13 | — | 2 | 1 | no | — |
| 257 | C2×C13 | — | 4 | 2 | no | — |
| 258 | C2×C13 | — | 4 | 1 | no | — |
| 259 | C2×C13 | — | 8 | 1 | no | — |
| 260 | C2×C13 | #1889 | 1 | 1 | yes | characteristic |
| 261 | D13 | — | 8 | 2 | no | — |
| 262 | #41 | — | 4 | 1 | no | — |
| 263 | #41 | — | 4 | 1 | no | — |
| 264 | #41 | — | 4 | 1 | no | — |
| 265 | #41 | — | 4 | 1 | no | — |
| 266 | #41 | — | 26 | 4 | no | — |
| 267 | #41 | — | 26 | 2 | no | — |
| 268 | #41 | — | 26 | 4 | no | — |
| 269 | #41 | — | 26 | 2 | no | — |
| 270 | #41 | — | 52 | 2 | no | — |
| 271 | #41 | — | 52 | 1 | no | — |
| 272 | #41 | — | 52 | 4 | no | — |
| 273 | #41 | — | 52 | 2 | no | — |
| 274 | #41 | — | 52 | 2 | no | — |
| 275 | #41 | — | 52 | 1 | no | — |
| 276 | C2×Q8 | — | 26 | 2 | no | — |
| 277 | C2×Q8 | — | 26 | 1 | no | — |
| 278 | C2×Q8 | — | 52 | 2 | no | — |
| 279 | C2×Q8 | #6103 | 1 | 1 | yes | characteristic |
| 280 | C2×Q8 | C2×C4×D13 | 1 | 1 | yes | characteristic |
| 281 | C2×D4 | — | 2 | 1 | no | — |
| 282 | C2×D4 | — | 2 | 2 | no | — |
| 283 | C2×D4 | — | 26 | 2 | no | — |
| 284 | C2×D4 | — | 26 | 1 | no | — |
| 285 | C2×D4 | — | 52 | 4 | no | — |
| 286 | C2×D4 | — | 52 | 2 | no | — |
| 287 | C2×D4 | — | 52 | 1 | no | — |
| 288 | C2×D4 | — | 52 | 2 | no | — |
| 289 | C2×D4 | #6103 | 1 | 1 | yes | characteristic |
| 290 | C2×D4 | #6129 | 1 | 2 | yes | — |
| 291 | C2×D4 | C2×C22⋊D13 | 1 | 1 | yes | characteristic |
| 292 | C22×C4 | — | 2 | 1 | no | — |
| 293 | C22×C4 | — | 2 | 1 | no | — |
| 294 | C22×C4 | — | 52 | 2 | no | — |
| 295 | C22×C4 | — | 52 | 1 | no | — |
| 296 | C22×C4 | C2×D52 | 1 | 1 | yes | characteristic |
| 297 | C22×C4 | D4×D13 | 1 | 2 | yes | — |
| 298 | Q16 | — | 52 | 2 | no | — |
| 299 | SD16 | — | 52 | 2 | no | — |
| 300 | SD16 | — | 52 | 2 | no | — |
| 301 | D8 | — | 52 | 2 | no | — |
| 302 | M16 | — | 26 | 2 | no | — |
| 303 | M16 | — | 52 | 1 | no | — |
| 304 | M16 | — | 52 | 2 | no | — |
| 305 | M16 | — | 104 | 1 | no | — |
| 306 | C2×C8 | — | 26 | 2 | no | — |
| 307 | C2×C8 | — | 26 | 2 | no | — |
| 308 | C2×C8 | — | 52 | 1 | no | — |
| 309 | C2×C8 | — | 52 | 2 | no | — |
| 310 | C2×C8 | — | 104 | 1 | no | — |
| 311 | C4⋊C4 | — | 2 | 2 | no | — |
| 312 | C4⋊C4 | — | 4 | 2 | no | — |
| 313 | C22⋊C4 | — | 2 | 2 | no | — |
| 314 | C22⋊C4 | — | 2 | 2 | no | — |
| 315 | C22⋊C4 | — | 4 | 2 | no | — |
| 316 | C42 | — | 2 | 1 | no | — |
| 317 | C42 | — | 4 | 2 | no | — |
| 318 | C42 | #6103 | 1 | 1 | yes | characteristic |
| 319 | C42 | #6103 | 1 | 1 | yes | characteristic |
| 320 | C13 | #13053 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 321 | C23 | — | 2 | 1 | no | — |
| 322 | C23 | — | 52 | 2 | no | — |
| 323 | C23 | — | 52 | 1 | no | — |
| 324 | C23 | #88140 | 1 | 1 | yes | characteristic |
| 325 | C23 | #88193 | 1 | 2 | yes | — |
| 326 | Q8 | — | 4 | 1 | no | — |
| 327 | Q8 | — | 4 | 1 | no | — |
| 328 | Q8 | — | 26 | 2 | no | — |
| 329 | Q8 | — | 26 | 4 | no | — |
| 330 | Q8 | — | 52 | 1 | no | — |
| 331 | D4 | — | 4 | 2 | no | — |
| 332 | D4 | — | 4 | 1 | no | — |
| 333 | D4 | — | 4 | 1 | no | — |
| 334 | D4 | — | 8 | 1 | no | — |
| 335 | D4 | — | 8 | 2 | no | — |
| 336 | D4 | — | 26 | 2 | no | — |
| 337 | D4 | — | 26 | 4 | no | — |
| 338 | D4 | — | 52 | 4 | no | — |
| 339 | D4 | — | 52 | 2 | no | — |
| 340 | D4 | — | 52 | 2 | no | — |
| 341 | D4 | — | 52 | 1 | no | — |
| 342 | C2×C4 | — | 2 | 2 | no | — |
| 343 | C2×C4 | — | 2 | 1 | no | — |
| 344 | C2×C4 | — | 2 | 2 | no | — |
| 345 | C2×C4 | — | 2 | 1 | no | — |
| 346 | C2×C4 | — | 2 | 1 | no | — |
| 347 | C2×C4 | — | 2 | 1 | no | — |
| 348 | C2×C4 | — | 2 | 1 | no | — |
| 349 | C2×C4 | — | 4 | 1 | no | — |
| 350 | C2×C4 | — | 4 | 1 | no | — |
| 351 | C2×C4 | — | 8 | 1 | no | — |
| 352 | C2×C4 | — | 8 | 2 | no | — |
| 353 | C2×C4 | — | 52 | 2 | no | — |
| 354 | C2×C4 | — | 52 | 4 | no | — |
| 355 | C2×C4 | — | 52 | 2 | no | — |
| 356 | C2×C4 | — | 52 | 1 | no | — |
| 357 | C2×C4 | — | 52 | 2 | no | — |
| 358 | C2×C4 | #88135 | 1 | 2 | yes | — |
| 359 | C2×C4 | #88136 | 1 | 1 | yes | characteristic |
| 360 | C2×C4 | C2×#6103 | 1 | 1 | yes | characteristic |
| 361 | C8 | — | 52 | 2 | no | — |
| 362 | C8 | — | 52 | 2 | no | — |
| 363 | C8 | — | 52 | 2 | no | — |
| 364 | C22 | — | 2 | 2 | no | — |
| 365 | C22 | — | 2 | 1 | no | — |
| 366 | C22 | — | 4 | 1 | no | — |
| 367 | C22 | — | 4 | 2 | no | — |
| 368 | C22 | — | 4 | 2 | no | — |
| 369 | C22 | — | 4 | 1 | no | — |
| 370 | C22 | — | 52 | 2 | no | — |
| 371 | C22 | — | 208 | 2 | no | — |
| 372 | C22 | — | 208 | 1 | no | — |
| 373 | C22 | #11718619 | 1 | 1 | yes | characteristic |
| 374 | C4 | — | 2 | 1 | no | — |
| 375 | C4 | — | 2 | 2 | no | — |
| 376 | C4 | — | 4 | 1 | no | — |
| 377 | C4 | — | 4 | 1 | no | — |
| 378 | C4 | — | 4 | 1 | no | — |
| 379 | C4 | — | 16 | 2 | no | — |
| 380 | C4 | — | 52 | 2 | no | — |
| 381 | C4 | #11718402 | 1 | 1 | yes | characteristic |
| 382 | C4 | #11718402 | 1 | 1 | yes | characteristic |
| 383 | C2 | — | 2 | 1 | no | — |
| 384 | C2 | — | 4 | 2 | no | — |
| 385 | C2 | — | 4 | 1 | no | — |
| 386 | C2 | — | 8 | 1 | no | — |
| 387 | C2 | — | 104 | 2 | no | — |
| 388 | C2 | #13115242 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13123907 | C2 | semidirect |
| 3. #13114802 | C2 | semidirect |
| 4. #13112964 | C2 | semidirect |
| 5. C13×#2126 | C2 | semidirect |
| 13. #11718756 | C4 | semidirect |
| 15. #11718723 | C4 | semidirect |
| 129. #2126 | D13 | semidirect |
| 320. C13 | #13053 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124184 | 2 |
| #13123907 | 2 |
| #13114802 | 2 |
| #13112964 | 2 |
| C13×#2126 | 2 |
| #13053 | 13 |