Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1312 conjugacy classes of subgroups; only the 271 normal subgroups are shown.
This group has 1312 conjugacy classes of subgroups — too many to draw. Only its 271 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 | #13128610 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13123315 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13116527 | C2 | 1 | 6 | yes | maximal, complemented |
| 4 | #13116519 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | C13×#2888 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×C13×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 7 | C2×#88256 | C4 | 1 | 1 | yes | characteristic |
| 8 | C13×#568 | — | 2 | 1 | no | — |
| 9 | #11719539 | — | 2 | 1 | no | — |
| 10 | #11719539 | — | 2 | 1 | no | — |
| 11 | #11719537 | C22 | 1 | 3 | yes | — |
| 12 | #11719535 | C22 | 1 | 3 | yes | — |
| 13 | #41×Dic13 | C4 | 1 | 1 | yes | characteristic |
| 14 | #11719524 | — | 2 | 1 | no | — |
| 15 | #11719510 | C4 | 1 | 3 | yes | — |
| 16 | C2×#88194 | C4 | 1 | 3 | yes | — |
| 17 | D4×C22⋊D13 | — | 2 | 3 | no | — |
| 18 | D4×C22⋊D13 | — | 2 | 3 | no | — |
| 19 | C13×#413 | C22 | 1 | 6 | yes | complemented |
| 20 | C2×C13×#100 | — | 2 | 3 | no | — |
| 21 | #11718898 | C22 | 1 | 6 | yes | complemented |
| 22 | C2×#88073 | — | 2 | 3 | no | — |
| 23 | #11718070 | C22 | 1 | 4 | yes | complemented |
| 24 | #11718069 | C22 | 1 | 12 | yes | complemented |
| 25 | C13×H(5,𝔽2) | — | 4 | 4 | no | — |
| 26 | C2×C13×#41 | C2×C4 | 1 | 1 | yes | characteristic |
| 27 | C2×C13×#41 | D4 | 1 | 1 | yes | characteristic |
| 28 | C2×C13×#41 | D4 | 1 | 1 | yes | characteristic |
| 29 | C2×C13×#41 | C23 | 1 | 3 | yes | — |
| 30 | C22×D4×C13 | C2×C4 | 1 | 3 | yes | — |
| 31 | C22×D4×C13 | D4 | 1 | 3 | yes | — |
| 32 | C22×D4×C13 | D4 | 1 | 3 | yes | — |
| 33 | C22×C22⋊D13 | — | 2 | 6 | no | — |
| 34 | #88256 | — | 4 | 4 | no | — |
| 35 | C2×#6131 | — | 2 | 1 | no | — |
| 36 | C2×D4×D13 | — | 2 | 3 | no | — |
| 37 | C2×#6127 | C2×C4 | 1 | 3 | yes | — |
| 38 | C22×D52 | C2×C4 | 1 | 3 | yes | — |
| 39 | C13×#131 | — | 4 | 4 | no | — |
| 40 | C2×C13×M16 | — | 2 | 6 | no | — |
| 41 | #88207 | — | 2 | 6 | no | — |
| 42 | #88202 | — | 4 | 4 | no | — |
| 43 | #88201 | C23 | 1 | 3 | yes | — |
| 44 | Q8×Dic13 | — | 2 | 1 | no | — |
| 45 | #88198 | C23 | 1 | 1 | yes | characteristic |
| 46 | #88194 | — | 2 | 3 | no | — |
| 47 | #88194 | — | 2 | 3 | no | — |
| 48 | #88194 | C2×C4 | 1 | 3 | yes | — |
| 49 | #88194 | C2×C4 | 1 | 6 | yes | — |
| 50 | #88193 | — | 2 | 3 | no | — |
| 51 | #88193 | — | 2 | 3 | no | — |
| 52 | #88192 | — | 2 | 3 | no | — |
| 53 | #88192 | — | 2 | 3 | no | — |
| 54 | #88191 | — | 2 | 3 | no | — |
| 55 | #88191 | — | 2 | 3 | no | — |
| 56 | #88190 | C2×C4 | 1 | 3 | yes | — |
| 57 | D4×Dic13 | — | 2 | 3 | no | — |
| 58 | #88184 | — | 2 | 3 | no | — |
| 59 | #88184 | — | 2 | 3 | no | — |
| 60 | C4×C22⋊D13 | — | 2 | 3 | no | — |
| 61 | C4×C22⋊D13 | — | 2 | 3 | no | — |
| 62 | #88180 | C2×C4 | 1 | 3 | yes | — |
| 63 | C2×C4×Dic13 | C2×C4 | 1 | 3 | yes | — |
| 64 | C2×#6099 | — | 2 | 6 | no | — |
| 65 | C13×#101 | C23 | 1 | 4 | yes | — |
| 66 | C13×#100 | — | 2 | 6 | no | — |
| 67 | #88076 | C23 | 1 | 4 | yes | — |
| 68 | #88073 | — | 2 | 6 | no | — |
| 69 | #33373 | — | 13 | 1 | no | maximal, Sylow |
| 70 | C24×C13 | C22⋊C4 | 1 | 6 | yes | — |
| 71 | C23×D13 | — | 2 | 3 | no | — |
| 72 | C13×#41 | — | 2 | 4 | no | — |
| 73 | C13×#41 | — | 2 | 4 | no | — |
| 74 | C13×#41 | — | 2 | 4 | no | — |
| 75 | C13×#41 | — | 4 | 6 | no | — |
| 76 | C2×Q8×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 77 | C2×Q8×C13 | C24 | 1 | 1 | yes | characteristic |
| 78 | C2×D4×C13 | — | 4 | 6 | no | — |
| 79 | C2×D4×C13 | — | 4 | 6 | no | — |
| 80 | C2×D4×C13 | — | 4 | 6 | no | — |
| 81 | C2×D4×C13 | C22⋊C4 | 1 | 3 | yes | — |
| 82 | C2×D4×C13 | C22⋊C4 | 1 | 3 | yes | — |
| 83 | C2×D4×C13 | C22⋊C4 | 1 | 3 | yes | — |
| 84 | C2×D4×C13 | C22×C4 | 1 | 3 | yes | — |
| 85 | C2×D4×C13 | C2×D4 | 1 | 3 | yes | — |
| 86 | C2×D4×C13 | C2×D4 | 1 | 3 | yes | — |
| 87 | C22×C4×C13 | C22×C4 | 1 | 3 | yes | — |
| 88 | C22×C4×C13 | C2×D4 | 1 | 3 | yes | — |
| 89 | C22×C4×C13 | C2×D4 | 1 | 3 | yes | — |
| 90 | C2×C22⋊D13 | — | 2 | 3 | no | — |
| 91 | C2×C22⋊D13 | — | 2 | 3 | no | — |
| 92 | C2×C22⋊D13 | — | 2 | 3 | no | — |
| 93 | C2×C22⋊D13 | — | 2 | 6 | no | — |
| 94 | C2×C22⋊D13 | — | 2 | 6 | no | — |
| 95 | C2×C22⋊D13 | — | 8 | 12 | no | — |
| 96 | C22×Dic13 | — | 2 | 3 | no | — |
| 97 | #6131 | — | 4 | 4 | no | — |
| 98 | D4×D13 | — | 4 | 12 | no | — |
| 99 | #6127 | — | 4 | 6 | no | — |
| 100 | C2×D52 | — | 2 | 3 | no | — |
| 101 | C2×D52 | — | 4 | 6 | no | — |
| 102 | C2×D52 | C22×C4 | 1 | 3 | yes | — |
| 103 | C2×C4×D13 | — | 2 | 3 | no | — |
| 104 | C2×Dic26 | C22×C4 | 1 | 1 | yes | characteristic |
| 105 | C13×M16 | — | 2 | 4 | no | — |
| 106 | C13×M16 | — | 4 | 6 | no | — |
| 107 | C2×C8×C13 | — | 4 | 6 | no | — |
| 108 | C22⋊Dic13 | — | 2 | 3 | no | — |
| 109 | C22⋊Dic13 | — | 2 | 3 | no | — |
| 110 | C22⋊Dic13 | — | 2 | 3 | no | — |
| 111 | #6103 | — | 2 | 3 | no | — |
| 112 | #6103 | — | 2 | 3 | no | — |
| 113 | C4⋊Dic13 | — | 2 | 3 | no | — |
| 114 | #6101 | — | 2 | 1 | no | — |
| 115 | #6101 | — | 2 | 1 | no | — |
| 116 | C4×Dic13 | — | 2 | 3 | no | — |
| 117 | C4×Dic13 | C22×C4 | 1 | 1 | yes | characteristic |
| 118 | C4×Dic13 | C22×C4 | 1 | 3 | yes | — |
| 119 | #6099 | — | 2 | 4 | no | — |
| 120 | #6099 | — | 4 | 6 | no | — |
| 121 | C2×#1055 | — | 4 | 6 | no | — |
| 122 | #3498 | — | 13 | 1 | no | — |
| 123 | #2888 | — | 13 | 1 | no | — |
| 124 | #2888 | D13 | 1 | 1 | yes | characteristic, complemented |
| 125 | #2134 | — | 13 | 6 | no | — |
| 126 | #2132 | — | 13 | 6 | no | — |
| 127 | C23×C13 | — | 4 | 6 | no | — |
| 128 | C23×C13 | — | 8 | 6 | no | — |
| 129 | C23×C13 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 130 | C23×C13 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 131 | C23×C13 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 132 | C22×D13 | — | 2 | 3 | no | — |
| 133 | C22×D13 | — | 4 | 6 | no | — |
| 134 | C22×D13 | — | 8 | 6 | no | — |
| 135 | Q8×C13 | — | 4 | 1 | no | — |
| 136 | Q8×C13 | #99 | 1 | 4 | yes | — |
| 137 | D4×C13 | — | 2 | 6 | no | — |
| 138 | D4×C13 | — | 2 | 6 | no | — |
| 139 | D4×C13 | — | 2 | 6 | no | — |
| 140 | D4×C13 | — | 4 | 3 | no | — |
| 141 | D4×C13 | — | 4 | 3 | no | — |
| 142 | D4×C13 | — | 4 | 3 | no | — |
| 143 | C2×C4×C13 | — | 2 | 6 | no | — |
| 144 | C2×C4×C13 | — | 2 | 6 | no | — |
| 145 | C2×C4×C13 | — | 2 | 6 | no | — |
| 146 | C2×C4×C13 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 147 | C2×C4×C13 | C23×C4 | 1 | 1 | yes | characteristic |
| 148 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 149 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 150 | C22⋊D13 | — | 4 | 6 | no | — |
| 151 | C22⋊D13 | — | 4 | 6 | no | — |
| 152 | C22⋊D13 | — | 4 | 6 | no | — |
| 153 | C22⋊D13 | — | 8 | 6 | no | — |
| 154 | C22⋊D13 | — | 8 | 6 | no | — |
| 155 | C2×Dic13 | — | 2 | 1 | no | — |
| 156 | C2×Dic13 | — | 2 | 3 | no | — |
| 157 | C2×Dic13 | — | 2 | 1 | no | — |
| 158 | C2×Dic13 | — | 4 | 6 | no | — |
| 159 | D52 | — | 4 | 3 | no | — |
| 160 | D52 | — | 4 | 6 | no | — |
| 161 | C4×D13 | — | 4 | 6 | no | — |
| 162 | Dic26 | — | 4 | 1 | no | — |
| 163 | C8×C13 | — | 4 | 4 | no | — |
| 164 | #1055 | — | 4 | 4 | no | — |
| 165 | C2×H(5,𝔽2) | — | 13 | 1 | no | — |
| 166 | C2×H(5,𝔽2) | C2×D13 | 1 | 1 | yes | characteristic |
| 167 | #568 | — | 2 | 1 | no | — |
| 168 | #568 | — | 26 | 1 | no | — |
| 169 | #550 | — | 26 | 1 | no | — |
| 170 | #550 | — | 26 | 1 | no | — |
| 171 | D42 | — | 26 | 3 | no | — |
| 172 | D42 | — | 26 | 3 | no | — |
| 173 | #535 | — | 13 | 3 | no | — |
| 174 | #535 | — | 13 | 3 | no | — |
| 175 | #532 | — | 13 | 3 | no | — |
| 176 | C2×#127 | — | 13 | 3 | no | — |
| 177 | C4×#41 | — | 13 | 1 | no | — |
| 178 | #413 | — | 13 | 6 | no | — |
| 179 | #413 | C2×D13 | 1 | 6 | yes | complemented |
| 180 | C2×#100 | — | 2 | 3 | no | — |
| 181 | C2×#100 | — | 26 | 3 | no | — |
| 182 | #356 | — | 13 | 4 | no | — |
| 183 | #355 | — | 13 | 12 | no | — |
| 184 | C22×C13 | — | 2 | 3 | no | — |
| 185 | C22×C13 | — | 2 | 3 | no | — |
| 186 | C22×C13 | — | 2 | 3 | no | — |
| 187 | C22×C13 | — | 4 | 3 | no | — |
| 188 | C22×C13 | — | 4 | 3 | no | — |
| 189 | C22×C13 | — | 4 | 3 | no | — |
| 190 | C22×C13 | — | 16 | 6 | no | — |
| 191 | C22×C13 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 192 | C2×D13 | — | 4 | 3 | no | — |
| 193 | C2×D13 | — | 4 | 3 | no | — |
| 194 | C2×D13 | — | 4 | 3 | no | — |
| 195 | C2×D13 | — | 16 | 6 | no | — |
| 196 | C4×C13 | — | 2 | 1 | no | — |
| 197 | C4×C13 | — | 2 | 1 | no | — |
| 198 | C4×C13 | — | 2 | 1 | no | — |
| 199 | C4×C13 | C2×#99 | 1 | 6 | yes | — |
| 200 | Dic13 | — | 2 | 2 | no | — |
| 201 | Dic13 | — | 4 | 3 | no | — |
| 202 | Dic13 | — | 4 | 1 | no | — |
| 203 | H(5,𝔽2) | — | 4 | 4 | no | — |
| 204 | H(5,𝔽2) | — | 52 | 4 | no | — |
| 205 | C2×#41 | — | 13 | 3 | no | — |
| 206 | C2×#41 | — | 26 | 1 | no | — |
| 207 | C2×#41 | C4×D13 | 1 | 1 | yes | characteristic |
| 208 | C2×#41 | D52 | 1 | 1 | yes | characteristic |
| 209 | C2×#41 | C22⋊D13 | 1 | 1 | yes | characteristic |
| 210 | C2×#41 | C22×D13 | 1 | 3 | yes | — |
| 211 | C22×D4 | — | 13 | 3 | no | — |
| 212 | C22×D4 | — | 26 | 6 | no | — |
| 213 | C22×D4 | — | 26 | 3 | no | — |
| 214 | C22×D4 | C4×D13 | 1 | 3 | yes | — |
| 215 | C22×D4 | D52 | 1 | 3 | yes | — |
| 216 | C22×D4 | C22⋊D13 | 1 | 3 | yes | — |
| 217 | #131 | — | 4 | 4 | no | — |
| 218 | #131 | — | 52 | 4 | no | — |
| 219 | C2×M16 | — | 2 | 6 | no | — |
| 220 | C2×M16 | — | 26 | 6 | no | — |
| 221 | C4⋊Q8 | — | 13 | 1 | no | — |
| 222 | #127 | — | 13 | 3 | no | — |
| 223 | #127 | — | 13 | 6 | no | — |
| 224 | #127 | — | 26 | 3 | no | — |
| 225 | #127 | — | 26 | 3 | no | — |
| 226 | #124 | — | 13 | 3 | no | — |
| 227 | #124 | — | 13 | 3 | no | — |
| 228 | #121 | — | 26 | 3 | no | — |
| 229 | #121 | — | 26 | 3 | no | — |
| 230 | #121 | — | 26 | 3 | no | — |
| 231 | #121 | — | 26 | 3 | no | — |
| 232 | #121 | — | 26 | 3 | no | — |
| 233 | #121 | — | 26 | 3 | no | — |
| 234 | #120 | — | 26 | 6 | no | — |
| 235 | #120 | — | 26 | 3 | no | — |
| 236 | #120 | — | 26 | 3 | no | — |
| 237 | C4×Q8 | — | 26 | 1 | no | — |
| 238 | C4×D4 | — | 26 | 3 | no | — |
| 239 | C4×D4 | — | 26 | 3 | no | — |
| 240 | C4×D4 | — | 26 | 3 | no | — |
| 241 | #117 | — | 13 | 3 | no | — |
| 242 | C2×C42 | — | 13 | 3 | no | — |
| 243 | #101 | — | 13 | 4 | no | — |
| 244 | #101 | C22×D13 | 1 | 4 | yes | — |
| 245 | #100 | — | 2 | 6 | no | — |
| 246 | #100 | — | 26 | 6 | no | — |
| 247 | C2×C13 | — | 2 | 1 | no | — |
| 248 | C2×C13 | — | 4 | 3 | no | — |
| 249 | C2×C13 | — | 4 | 3 | no | — |
| 250 | C2×C13 | — | 4 | 3 | no | — |
| 251 | C2×C13 | C22×#99 | 1 | 1 | yes | characteristic |
| 252 | D13 | — | 8 | 3 | no | — |
| 253 | C24 | — | 26 | 3 | no | — |
| 254 | C24 | #6103 | 1 | 6 | yes | — |
| 255 | #41 | — | 2 | 4 | no | — |
| 256 | #41 | — | 2 | 4 | no | — |
| 257 | #41 | — | 2 | 4 | no | — |
| 258 | #41 | — | 4 | 6 | no | — |
| 259 | #41 | — | 52 | 6 | no | — |
| 260 | #41 | — | 52 | 4 | no | — |
| 261 | C2×Q8 | — | 13 | 1 | no | — |
| 262 | C2×Q8 | #6103 | 1 | 1 | yes | characteristic |
| 263 | C2×Q8 | C23×D13 | 1 | 1 | yes | characteristic |
| 264 | C2×D4 | — | 4 | 6 | no | — |
| 265 | C2×D4 | — | 4 | 6 | no | — |
| 266 | C2×D4 | — | 4 | 6 | no | — |
| 267 | C2×D4 | — | 13 | 3 | no | — |
| 268 | C2×D4 | — | 26 | 3 | no | — |
| 269 | C2×D4 | — | 26 | 3 | no | — |
| 270 | C2×D4 | — | 26 | 3 | no | — |
| 271 | C2×D4 | — | 26 | 6 | no | — |
| 272 | C2×D4 | — | 26 | 6 | no | — |
| 273 | C2×D4 | — | 26 | 3 | no | — |
| 274 | C2×D4 | — | 52 | 6 | no | — |
| 275 | C2×D4 | — | 52 | 12 | no | — |
| 276 | C2×D4 | — | 104 | 12 | no | — |
| 277 | C2×D4 | #6103 | 1 | 3 | yes | — |
| 278 | C2×D4 | #6103 | 1 | 3 | yes | — |
| 279 | C2×D4 | #6103 | 1 | 3 | yes | — |
| 280 | C2×D4 | C2×C4×D13 | 1 | 3 | yes | — |
| 281 | C2×D4 | C2×D52 | 1 | 3 | yes | — |
| 282 | C2×D4 | C2×C22⋊D13 | 1 | 3 | yes | — |
| 283 | C22×C4 | — | 26 | 3 | no | — |
| 284 | C22×C4 | — | 26 | 3 | no | — |
| 285 | C22×C4 | C2×C4×D13 | 1 | 3 | yes | — |
| 286 | C22×C4 | C2×D52 | 1 | 3 | yes | — |
| 287 | C22×C4 | C2×C22⋊D13 | 1 | 3 | yes | — |
| 288 | M16 | — | 2 | 4 | no | — |
| 289 | M16 | — | 4 | 6 | no | — |
| 290 | M16 | — | 26 | 4 | no | — |
| 291 | M16 | — | 52 | 6 | no | — |
| 292 | C2×C8 | — | 4 | 6 | no | — |
| 293 | C2×C8 | — | 52 | 6 | no | — |
| 294 | C4⋊C4 | — | 26 | 3 | no | — |
| 295 | C4⋊C4 | — | 26 | 1 | no | — |
| 296 | C4⋊C4 | — | 26 | 1 | no | — |
| 297 | C22⋊C4 | — | 26 | 3 | no | — |
| 298 | C22⋊C4 | — | 26 | 3 | no | — |
| 299 | C22⋊C4 | — | 26 | 3 | no | — |
| 300 | C22⋊C4 | — | 26 | 3 | no | — |
| 301 | C22⋊C4 | — | 26 | 3 | no | — |
| 302 | C42 | — | 13 | 1 | no | — |
| 303 | C42 | — | 13 | 3 | no | — |
| 304 | C42 | — | 26 | 3 | no | — |
| 305 | C13 | #33373 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 306 | C23 | — | 4 | 6 | no | — |
| 307 | C23 | — | 8 | 6 | no | — |
| 308 | C23 | — | 26 | 3 | no | — |
| 309 | C23 | — | 52 | 6 | no | — |
| 310 | C23 | — | 104 | 6 | no | — |
| 311 | C23 | C2×#6103 | 1 | 3 | yes | — |
| 312 | C23 | C2×#6103 | 1 | 3 | yes | — |
| 313 | C23 | C2×#6103 | 1 | 3 | yes | — |
| 314 | Q8 | — | 4 | 1 | no | — |
| 315 | Q8 | — | 52 | 1 | no | — |
| 316 | Q8 | #88046 | 1 | 4 | yes | — |
| 317 | D4 | — | 2 | 6 | no | — |
| 318 | D4 | — | 2 | 6 | no | — |
| 319 | D4 | — | 2 | 6 | no | — |
| 320 | D4 | — | 4 | 3 | no | — |
| 321 | D4 | — | 4 | 3 | no | — |
| 322 | D4 | — | 4 | 3 | no | — |
| 323 | D4 | — | 52 | 3 | no | — |
| 324 | D4 | — | 52 | 6 | no | — |
| 325 | D4 | — | 52 | 6 | no | — |
| 326 | D4 | — | 52 | 6 | no | — |
| 327 | D4 | — | 52 | 6 | no | — |
| 328 | D4 | — | 104 | 6 | no | — |
| 329 | D4 | — | 104 | 6 | no | — |
| 330 | C2×C4 | — | 2 | 6 | no | — |
| 331 | C2×C4 | — | 2 | 6 | no | — |
| 332 | C2×C4 | — | 2 | 6 | no | — |
| 333 | C2×C4 | — | 26 | 1 | no | — |
| 334 | C2×C4 | — | 26 | 3 | no | — |
| 335 | C2×C4 | — | 26 | 1 | no | — |
| 336 | C2×C4 | — | 52 | 6 | no | — |
| 337 | C2×C4 | — | 52 | 6 | no | — |
| 338 | C2×C4 | C2×#6103 | 1 | 3 | yes | — |
| 339 | C2×C4 | C22×C4×D13 | 1 | 1 | yes | characteristic |
| 340 | C2×C4 | C22×D52 | 1 | 1 | yes | characteristic |
| 341 | C2×C4 | C22×C22⋊D13 | 1 | 1 | yes | characteristic |
| 342 | C8 | — | 4 | 4 | no | — |
| 343 | C8 | — | 52 | 4 | no | — |
| 344 | C22 | — | 2 | 3 | no | — |
| 345 | C22 | — | 2 | 3 | no | — |
| 346 | C22 | — | 2 | 3 | no | — |
| 347 | C22 | — | 4 | 3 | no | — |
| 348 | C22 | — | 4 | 3 | no | — |
| 349 | C22 | — | 4 | 3 | no | — |
| 350 | C22 | — | 16 | 6 | no | — |
| 351 | C22 | — | 52 | 3 | no | — |
| 352 | C22 | — | 52 | 3 | no | — |
| 353 | C22 | — | 52 | 3 | no | — |
| 354 | C22 | — | 208 | 6 | no | — |
| 355 | C22 | C22×#6103 | 1 | 1 | yes | characteristic |
| 356 | C4 | — | 2 | 1 | no | — |
| 357 | C4 | — | 2 | 1 | no | — |
| 358 | C4 | — | 2 | 1 | no | — |
| 359 | C4 | — | 26 | 2 | no | — |
| 360 | C4 | — | 52 | 3 | no | — |
| 361 | C4 | — | 52 | 1 | no | — |
| 362 | C4 | C2×#88046 | 1 | 6 | yes | — |
| 363 | C2 | — | 2 | 1 | no | — |
| 364 | C2 | — | 4 | 3 | no | — |
| 365 | C2 | — | 4 | 3 | no | — |
| 366 | C2 | — | 4 | 3 | no | — |
| 367 | C2 | — | 104 | 3 | no | — |
| 368 | C2 | C22×#88046 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13123315 | C2 | semidirect |
| 3. #13116527 | C2 | semidirect |
| 4. #13116519 | C2 | semidirect |
| 5. C13×#2888 | C2 | semidirect |
| 19. C13×#413 | C22 | semidirect |
| 21. #11718898 | C22 | semidirect |
| 23. #11718070 | C22 | semidirect |
| 24. #11718069 | C22 | semidirect |
| 124. #2888 | D13 | semidirect |
| 179. #413 | C2×D13 | semidirect |
| 305. C13 | #33373 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128610 | 2 |
| #13123315 | 2 |
| #13116527 | 2 |
| #13116519 | 2 |
| C13×#2888 | 2 |
| #33373 | 13 |