Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
468 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 58 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 | D13⋊#355 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D13⋊#354 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13129964 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #13129963 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | D13×#496 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | C2×SD16×D13 | — | 2 | 1 | no | — |
| 7 | C2×D8×D13 | — | 2 | 1 | no | — |
| 8 | D13×#127 | C4 | 1 | 1 | yes | characteristic, complemented |
| 9 | D13×#124 | C22 | 1 | 1 | yes | characteristic |
| 10 | D13⋊#101 | — | 2 | 1 | no | — |
| 11 | D13⋊#99 | — | 2 | 1 | no | — |
| 12 | C13×#496 | C4 | 1 | 1 | yes | characteristic, complemented |
| 13 | #11718837 | — | 2 | 1 | no | — |
| 14 | #11718815 | — | 2 | 1 | no | — |
| 15 | #11718735 | C22 | 1 | 1 | yes | characteristic |
| 16 | #11718719 | C4 | 1 | 1 | yes | characteristic, complemented |
| 17 | #11718373 | C22 | 1 | 1 | yes | characteristic |
| 18 | D13×#97 | C4 | 1 | 1 | yes | characteristic, complemented |
| 19 | #11718300 | — | 2 | 1 | no | — |
| 20 | #11718295 | — | 2 | 1 | no | — |
| 21 | #11718228 | C22 | 1 | 2 | yes | complemented |
| 22 | #11718226 | C22 | 1 | 2 | yes | complemented |
| 23 | C2×Q8×D13 | D4 | 1 | 1 | yes | characteristic |
| 24 | C2×D4×D13 | — | 2 | 1 | no | — |
| 25 | C2×D4×D13 | — | 4 | 1 | no | — |
| 26 | C2×D4×D13 | D4 | 1 | 1 | yes | characteristic |
| 27 | C2×C22⋊#261 | — | 4 | 1 | no | — |
| 28 | D13⋊M16 | — | 4 | 1 | no | — |
| 29 | C2×C13×SD16 | — | 2 | 1 | no | — |
| 30 | C2×C13×D8 | — | 2 | 1 | no | — |
| 31 | C13×#127 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 32 | C13×#124 | C2×C4 | 1 | 1 | yes | characteristic |
| 33 | #88201 | D4 | 1 | 1 | yes | characteristic |
| 34 | C2×#6106 | — | 2 | 1 | no | — |
| 35 | #88194 | — | 2 | 1 | no | — |
| 36 | #88194 | — | 4 | 1 | no | — |
| 37 | #88190 | D4 | 1 | 1 | yes | characteristic |
| 38 | C2×#6105 | — | 2 | 1 | no | — |
| 39 | C2×#6104 | — | 2 | 1 | no | — |
| 40 | C2×#6104 | — | 2 | 1 | no | — |
| 41 | SD16×D13 | — | 4 | 2 | no | — |
| 42 | SD16×D13 | — | 4 | 2 | no | — |
| 43 | D8×D13 | — | 4 | 2 | no | — |
| 44 | D8×D13 | — | 4 | 2 | no | — |
| 45 | C2×D104 | — | 2 | 1 | no | — |
| 46 | C2×#6095 | — | 2 | 1 | no | — |
| 47 | C2×C8×D13 | — | 2 | 1 | no | — |
| 48 | #88139 | — | 4 | 1 | no | — |
| 49 | C22⋊C4×D13 | — | 4 | 1 | no | — |
| 50 | #88129 | C23 | 1 | 1 | yes | characteristic |
| 51 | #88128 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 52 | C42×D13 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | #88119 | — | 4 | 1 | no | — |
| 54 | #88113 | — | 2 | 2 | no | — |
| 55 | #88113 | — | 4 | 1 | no | — |
| 56 | #88107 | — | 2 | 2 | no | — |
| 57 | C13×#97 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 58 | #88055 | — | 2 | 1 | no | — |
| 59 | #88043 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 60 | C2×#1406 | — | 13 | 1 | no | maximal, Sylow |
| 61 | C23×D13 | — | 2 | 1 | no | — |
| 62 | C23×D13 | — | 4 | 1 | no | — |
| 63 | C22×#261 | — | 8 | 1 | no | — |
| 64 | C2×Q8×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 65 | C2×D4×C13 | — | 2 | 1 | no | — |
| 66 | C2×D4×C13 | — | 4 | 1 | no | — |
| 67 | C2×D4×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 68 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 69 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 70 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 71 | Q8×D13 | — | 4 | 1 | no | — |
| 72 | Q8×D13 | — | 4 | 1 | no | — |
| 73 | D4×D13 | — | 4 | 1 | no | — |
| 74 | D4×D13 | — | 4 | 1 | no | — |
| 75 | D4×D13 | — | 4 | 1 | no | — |
| 76 | D4×D13 | — | 4 | 1 | no | — |
| 77 | D4×D13 | — | 4 | 1 | no | — |
| 78 | D4×D13 | — | 4 | 1 | no | — |
| 79 | D4×D13 | — | 8 | 4 | no | — |
| 80 | C2×D52 | — | 2 | 1 | no | — |
| 81 | C2×D52 | — | 4 | 1 | no | — |
| 82 | C2×D52 | C2×D4 | 1 | 1 | yes | characteristic |
| 83 | C2×C4×D13 | — | 2 | 1 | no | — |
| 84 | C2×C4×D13 | — | 2 | 1 | no | — |
| 85 | C2×C4×D13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 86 | C2×Dic26 | — | 2 | 1 | no | — |
| 87 | C2×Dic26 | C2×D4 | 1 | 1 | yes | characteristic |
| 88 | C22⋊#261 | — | 4 | 2 | no | — |
| 89 | C22⋊#261 | — | 8 | 1 | no | — |
| 90 | #6122 | — | 4 | 2 | no | — |
| 91 | #6118 | — | 8 | 1 | no | — |
| 92 | D13⋊C8 | — | 8 | 1 | no | — |
| 93 | C13×SD16 | — | 4 | 2 | no | — |
| 94 | C13×D8 | — | 4 | 2 | no | — |
| 95 | C2×C8×C13 | — | 2 | 1 | no | — |
| 96 | C13×C22⋊C4 | — | 4 | 1 | no | — |
| 97 | C42×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 98 | C22⋊Dic13 | — | 4 | 1 | no | — |
| 99 | #6106 | — | 4 | 2 | no | — |
| 100 | #6105 | — | 4 | 2 | no | — |
| 101 | #6104 | — | 4 | 2 | no | — |
| 102 | #6104 | — | 4 | 2 | no | — |
| 103 | #6103 | — | 4 | 1 | no | — |
| 104 | #6103 | — | 4 | 1 | no | — |
| 105 | C4×Dic13 | — | 2 | 1 | no | — |
| 106 | C4×Dic13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 107 | C2×#1055 | — | 2 | 1 | no | — |
| 108 | D104 | — | 4 | 2 | no | — |
| 109 | #6095 | — | 4 | 2 | no | — |
| 110 | C8×D13 | — | 2 | 2 | no | — |
| 111 | C8×D13 | — | 2 | 2 | no | — |
| 112 | C2×#496 | — | 13 | 1 | no | — |
| 113 | C2×#355 | — | 13 | 1 | no | — |
| 114 | C2×#354 | — | 13 | 1 | no | — |
| 115 | #1406 | — | 13 | 2 | no | — |
| 116 | #1406 | — | 13 | 2 | no | — |
| 117 | C23×C13 | — | 2 | 1 | no | — |
| 118 | C23×C13 | — | 4 | 1 | no | — |
| 119 | C22×D13 | — | 2 | 1 | no | — |
| 120 | C22×D13 | — | 4 | 1 | no | — |
| 121 | C22×D13 | — | 4 | 1 | no | — |
| 122 | C22×D13 | — | 4 | 1 | no | — |
| 123 | C22×D13 | — | 8 | 2 | no | — |
| 124 | C22×D13 | — | 8 | 4 | no | — |
| 125 | C22×D13 | — | 8 | 1 | no | — |
| 126 | C22×D13 | — | 8 | 1 | no | — |
| 127 | C22×D13 | #99 | 1 | 1 | yes | characteristic |
| 128 | C2×#261 | — | 8 | 2 | no | — |
| 129 | C2×#261 | — | 16 | 2 | no | — |
| 130 | Q8×C13 | — | 4 | 1 | no | — |
| 131 | D4×C13 | — | 4 | 1 | no | — |
| 132 | D4×C13 | — | 4 | 1 | no | — |
| 133 | D4×C13 | — | 4 | 1 | no | — |
| 134 | D4×C13 | — | 8 | 2 | no | — |
| 135 | C2×C4×C13 | — | 2 | 1 | no | — |
| 136 | C2×C4×C13 | — | 2 | 1 | no | — |
| 137 | C2×C4×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 138 | C22⋊D13 | — | 8 | 1 | no | — |
| 139 | C22⋊D13 | — | 8 | 1 | no | — |
| 140 | C22⋊D13 | — | 8 | 1 | no | — |
| 141 | C22⋊D13 | — | 8 | 4 | no | — |
| 142 | C2×Dic13 | — | 2 | 1 | no | — |
| 143 | C2×Dic13 | — | 2 | 1 | no | — |
| 144 | C2×Dic13 | #99 | 1 | 1 | yes | characteristic |
| 145 | D52 | — | 4 | 1 | no | — |
| 146 | D52 | — | 4 | 1 | no | — |
| 147 | D52 | — | 4 | 1 | no | — |
| 148 | D52 | — | 8 | 2 | no | — |
| 149 | C4×D13 | — | 2 | 1 | no | — |
| 150 | C4×D13 | — | 2 | 1 | no | — |
| 151 | C4×D13 | — | 4 | 2 | no | — |
| 152 | C4×D13 | — | 4 | 1 | no | — |
| 153 | C4×D13 | — | 4 | 1 | no | — |
| 154 | Dic26 | — | 4 | 1 | no | — |
| 155 | Dic26 | — | 8 | 1 | no | — |
| 156 | #1057 | — | 8 | 2 | no | — |
| 157 | C8×C13 | — | 2 | 2 | no | — |
| 158 | #1055 | — | 2 | 2 | no | — |
| 159 | C22×SD16 | — | 26 | 1 | no | — |
| 160 | C22×D8 | — | 26 | 1 | no | — |
| 161 | C2×#127 | — | 13 | 1 | no | — |
| 162 | C2×#124 | — | 13 | 1 | no | — |
| 163 | #496 | — | 13 | 1 | no | — |
| 164 | #496 | — | 13 | 1 | no | — |
| 165 | #496 | — | 13 | 1 | no | — |
| 166 | #496 | — | 26 | 1 | no | — |
| 167 | #496 | — | 26 | 1 | no | — |
| 168 | #496 | #261 | 1 | 1 | yes | characteristic, complemented |
| 169 | C2×#101 | — | 26 | 1 | no | — |
| 170 | C2×#99 | — | 26 | 1 | no | — |
| 171 | C2×#97 | — | 13 | 1 | no | — |
| 172 | #355 | — | 13 | 2 | no | — |
| 173 | #355 | — | 26 | 1 | no | — |
| 174 | #354 | — | 13 | 2 | no | — |
| 175 | #354 | — | 26 | 1 | no | — |
| 176 | C22×C13 | — | 4 | 1 | no | — |
| 177 | C22×C13 | — | 8 | 1 | no | — |
| 178 | C22×C13 | — | 8 | 2 | no | — |
| 179 | C22×C13 | — | 8 | 1 | no | — |
| 180 | C22×C13 | C2×#99 | 1 | 1 | yes | characteristic |
| 181 | C2×D13 | — | 2 | 2 | no | — |
| 182 | C2×D13 | — | 4 | 1 | no | — |
| 183 | C2×D13 | — | 8 | 2 | no | — |
| 184 | C2×D13 | — | 8 | 1 | no | — |
| 185 | C2×D13 | — | 8 | 2 | no | — |
| 186 | C2×D13 | — | 8 | 1 | no | — |
| 187 | C2×D13 | — | 16 | 1 | no | — |
| 188 | C2×D13 | — | 16 | 2 | no | — |
| 189 | C2×D13 | — | 16 | 2 | no | — |
| 190 | C2×D13 | #353 | 1 | 1 | yes | characteristic |
| 191 | C2×D13 | #353 | 1 | 1 | yes | characteristic |
| 192 | #261 | — | 16 | 2 | no | — |
| 193 | C4×C13 | — | 2 | 1 | no | — |
| 194 | C4×C13 | — | 4 | 1 | no | — |
| 195 | C4×C13 | — | 4 | 1 | no | — |
| 196 | Dic13 | — | 2 | 1 | no | — |
| 197 | Dic13 | — | 4 | 1 | no | — |
| 198 | Dic13 | — | 4 | 1 | no | — |
| 199 | C22×Q8 | — | 13 | 1 | no | — |
| 200 | C22×D4 | — | 13 | 1 | no | — |
| 201 | C22×D4 | — | 26 | 1 | no | — |
| 202 | C22×D4 | — | 52 | 1 | no | — |
| 203 | C2×SD16 | — | 2 | 1 | no | — |
| 204 | C2×SD16 | — | 26 | 1 | no | — |
| 205 | C2×SD16 | — | 26 | 1 | no | — |
| 206 | C2×SD16 | — | 26 | 1 | no | — |
| 207 | C2×SD16 | — | 52 | 2 | no | — |
| 208 | C2×SD16 | — | 52 | 2 | no | — |
| 209 | C2×D8 | — | 2 | 1 | no | — |
| 210 | C2×D8 | — | 26 | 1 | no | — |
| 211 | C2×D8 | — | 26 | 1 | no | — |
| 212 | C2×D8 | — | 26 | 1 | no | — |
| 213 | C2×D8 | — | 52 | 2 | no | — |
| 214 | C2×D8 | — | 52 | 2 | no | — |
| 215 | C2×M16 | — | 52 | 1 | no | — |
| 216 | C22×C8 | — | 26 | 1 | no | — |
| 217 | #127 | — | 13 | 1 | no | — |
| 218 | #127 | — | 26 | 1 | no | — |
| 219 | #127 | — | 52 | 1 | no | — |
| 220 | #127 | C2×#261 | 1 | 1 | yes | characteristic, complemented |
| 221 | #124 | — | 13 | 1 | no | — |
| 222 | #124 | — | 13 | 1 | no | — |
| 223 | #124 | — | 13 | 1 | no | — |
| 224 | #124 | — | 52 | 1 | no | — |
| 225 | #124 | C2×#261 | 1 | 1 | yes | characteristic |
| 226 | C2×C22⋊C4 | — | 52 | 1 | no | — |
| 227 | C2×C22⋊C4 | — | 52 | 1 | no | — |
| 228 | C2×C42 | — | 13 | 1 | no | — |
| 229 | #101 | — | 26 | 2 | no | — |
| 230 | #101 | — | 52 | 1 | no | — |
| 231 | #99 | — | 26 | 2 | no | — |
| 232 | #99 | — | 52 | 1 | no | — |
| 233 | #97 | — | 13 | 1 | no | — |
| 234 | #97 | — | 26 | 1 | no | — |
| 235 | #97 | C2×#261 | 1 | 1 | yes | characteristic, complemented |
| 236 | C2×C13 | — | 2 | 1 | no | — |
| 237 | C2×C13 | — | 8 | 1 | no | — |
| 238 | C2×C13 | — | 16 | 1 | no | — |
| 239 | C2×C13 | C2×#353 | 1 | 1 | yes | characteristic |
| 240 | D13 | — | 2 | 1 | no | — |
| 241 | D13 | — | 8 | 1 | no | — |
| 242 | D13 | — | 16 | 1 | no | — |
| 243 | D13 | #1406 | 1 | 2 | yes | complemented |
| 244 | C24 | — | 26 | 1 | no | — |
| 245 | C24 | — | 52 | 1 | no | — |
| 246 | C2×Q8 | — | 13 | 1 | no | — |
| 247 | C2×Q8 | — | 26 | 1 | no | — |
| 248 | C2×Q8 | — | 52 | 1 | no | — |
| 249 | C2×Q8 | — | 52 | 1 | no | — |
| 250 | C2×Q8 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 251 | C2×D4 | — | 2 | 1 | no | — |
| 252 | C2×D4 | — | 4 | 1 | no | — |
| 253 | C2×D4 | — | 13 | 1 | no | — |
| 254 | C2×D4 | — | 26 | 1 | no | — |
| 255 | C2×D4 | — | 26 | 1 | no | — |
| 256 | C2×D4 | — | 52 | 1 | no | — |
| 257 | C2×D4 | — | 52 | 1 | no | — |
| 258 | C2×D4 | — | 52 | 1 | no | — |
| 259 | C2×D4 | — | 52 | 1 | no | — |
| 260 | C2×D4 | — | 52 | 1 | no | — |
| 261 | C2×D4 | — | 52 | 1 | no | — |
| 262 | C2×D4 | — | 52 | 1 | no | — |
| 263 | C2×D4 | — | 52 | 1 | no | — |
| 264 | C2×D4 | — | 52 | 2 | no | — |
| 265 | C2×D4 | — | 104 | 4 | no | — |
| 266 | C2×D4 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 267 | C22×C4 | — | 13 | 1 | no | — |
| 268 | C22×C4 | — | 26 | 1 | no | — |
| 269 | C22×C4 | — | 26 | 1 | no | — |
| 270 | C22×C4 | — | 104 | 1 | no | — |
| 271 | SD16 | — | 4 | 2 | no | — |
| 272 | SD16 | — | 52 | 2 | no | — |
| 273 | SD16 | — | 52 | 2 | no | — |
| 274 | SD16 | — | 52 | 2 | no | — |
| 275 | D8 | — | 4 | 2 | no | — |
| 276 | D8 | — | 52 | 2 | no | — |
| 277 | D8 | — | 52 | 2 | no | — |
| 278 | D8 | — | 52 | 2 | no | — |
| 279 | M16 | — | 52 | 2 | no | — |
| 280 | M16 | — | 104 | 1 | no | — |
| 281 | C2×C8 | — | 2 | 1 | no | — |
| 282 | C2×C8 | — | 26 | 2 | no | — |
| 283 | C2×C8 | — | 26 | 2 | no | — |
| 284 | C2×C8 | — | 26 | 1 | no | — |
| 285 | C2×C8 | — | 104 | 1 | no | — |
| 286 | C22⋊C4 | — | 4 | 1 | no | — |
| 287 | C22⋊C4 | — | 52 | 1 | no | — |
| 288 | C22⋊C4 | — | 52 | 1 | no | — |
| 289 | C22⋊C4 | — | 52 | 1 | no | — |
| 290 | C22⋊C4 | — | 52 | 2 | no | — |
| 291 | C22⋊C4 | — | 104 | 1 | no | — |
| 292 | C42 | — | 13 | 1 | no | — |
| 293 | C42 | — | 26 | 1 | no | — |
| 294 | C42 | C22×#261 | 1 | 1 | yes | characteristic |
| 295 | C13 | C2×#1406 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 296 | C23 | — | 2 | 1 | no | — |
| 297 | C23 | — | 4 | 1 | no | — |
| 298 | C23 | — | 13 | 1 | no | — |
| 299 | C23 | — | 26 | 1 | no | — |
| 300 | C23 | — | 52 | 1 | no | — |
| 301 | C23 | — | 52 | 1 | no | — |
| 302 | C23 | — | 52 | 1 | no | — |
| 303 | C23 | — | 104 | 1 | no | — |
| 304 | C23 | — | 104 | 1 | no | — |
| 305 | C23 | — | 104 | 2 | no | — |
| 306 | C23 | — | 104 | 4 | no | — |
| 307 | Q8 | — | 4 | 1 | no | — |
| 308 | Q8 | — | 52 | 1 | no | — |
| 309 | Q8 | — | 104 | 1 | no | — |
| 310 | D4 | — | 4 | 1 | no | — |
| 311 | D4 | — | 4 | 1 | no | — |
| 312 | D4 | — | 4 | 1 | no | — |
| 313 | D4 | — | 8 | 2 | no | — |
| 314 | D4 | — | 52 | 1 | no | — |
| 315 | D4 | — | 52 | 1 | no | — |
| 316 | D4 | — | 52 | 1 | no | — |
| 317 | D4 | — | 104 | 2 | no | — |
| 318 | D4 | — | 104 | 1 | no | — |
| 319 | D4 | — | 104 | 1 | no | — |
| 320 | D4 | — | 104 | 1 | no | — |
| 321 | D4 | — | 104 | 4 | no | — |
| 322 | C2×C4 | — | 2 | 1 | no | — |
| 323 | C2×C4 | — | 2 | 1 | no | — |
| 324 | C2×C4 | — | 13 | 1 | no | — |
| 325 | C2×C4 | — | 26 | 1 | no | — |
| 326 | C2×C4 | — | 26 | 1 | no | — |
| 327 | C2×C4 | — | 26 | 1 | no | — |
| 328 | C2×C4 | — | 26 | 1 | no | — |
| 329 | C2×C4 | — | 52 | 1 | no | — |
| 330 | C2×C4 | — | 52 | 1 | no | — |
| 331 | C2×C4 | — | 52 | 2 | no | — |
| 332 | C2×C4 | — | 104 | 2 | no | — |
| 333 | C2×C4 | — | 208 | 2 | no | — |
| 334 | C2×C4 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 335 | C8 | — | 2 | 2 | no | — |
| 336 | C8 | — | 26 | 2 | no | — |
| 337 | C8 | — | 104 | 2 | no | — |
| 338 | C22 | — | 4 | 1 | no | — |
| 339 | C22 | — | 8 | 1 | no | — |
| 340 | C22 | — | 8 | 2 | no | — |
| 341 | C22 | — | 8 | 1 | no | — |
| 342 | C22 | — | 13 | 1 | no | — |
| 343 | C22 | — | 13 | 1 | no | — |
| 344 | C22 | — | 26 | 2 | no | — |
| 345 | C22 | — | 52 | 1 | no | — |
| 346 | C22 | — | 104 | 1 | no | — |
| 347 | C22 | — | 104 | 2 | no | — |
| 348 | C22 | — | 104 | 2 | no | — |
| 349 | C22 | — | 104 | 1 | no | — |
| 350 | C22 | — | 208 | 1 | no | — |
| 351 | C22 | — | 208 | 2 | no | — |
| 352 | C22 | — | 208 | 2 | no | — |
| 353 | C22 | D13⋊#99 | 1 | 1 | yes | characteristic |
| 354 | C4 | — | 2 | 1 | no | — |
| 355 | C4 | — | 4 | 1 | no | — |
| 356 | C4 | — | 4 | 1 | no | — |
| 357 | C4 | — | 26 | 1 | no | — |
| 358 | C4 | — | 52 | 1 | no | — |
| 359 | C4 | — | 52 | 1 | no | — |
| 360 | C4 | — | 208 | 2 | no | — |
| 361 | C2 | — | 2 | 1 | no | — |
| 362 | C2 | — | 8 | 1 | no | — |
| 363 | C2 | — | 13 | 2 | no | — |
| 364 | C2 | — | 16 | 1 | no | — |
| 365 | C2 | — | 26 | 1 | no | — |
| 366 | C2 | — | 104 | 1 | no | — |
| 367 | C2 | — | 208 | 1 | no | — |
| 368 | C2 | D13⋊#353 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. D13⋊#355 | C2 | semidirect |
| 2. D13⋊#354 | C2 | semidirect |
| 3. #13129964 | C2 | semidirect |
| 4. #13129963 | C2 | semidirect |
| 8. D13×#127 | C4 | semidirect |
| 12. C13×#496 | C4 | semidirect |
| 16. #11718719 | C4 | semidirect |
| 18. D13×#97 | C4 | semidirect |
| 21. #11718228 | C22 | semidirect |
| 22. #11718226 | C22 | semidirect |
| 31. C13×#127 | C2×C4 | semidirect |
| 51. #88128 | C2×C4 | semidirect |
| 57. C13×#97 | C2×C4 | semidirect |
| 59. #88043 | C2×C4 | semidirect |
| 168. #496 | #261 | semidirect |
| 220. #127 | C2×#261 | semidirect |
| 235. #97 | C2×#261 | semidirect |
| 243. D13 | #1406 | semidirect |
| 295. C13 | C2×#1406 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#355 | 2 |
| D13⋊#354 | 2 |
| #13129964 | 2 |
| #13129963 | 2 |
| D13×#496 | 2 |
| C2×#1406 | 13 |