Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
552 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 97 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13127970 | C2 | semidirect |
| 2. #13125279 | C2 | semidirect |
| 3. #13116565 | C2 | semidirect |
| 4. #13116564 | C2 | semidirect |
| 5. #13115730 | C2 | semidirect |
| 6. #13112915 | C2 | semidirect |
| 7. C13×#3414 | C2 | semidirect |
| 47. C2×C13×Q16 | D4 | semidirect |
| 51. C2×C13×D8 | D4 | semidirect |
| 81. C2×C13×C16 | D4 | semidirect |
| 94. C2×#6090 | D4 | semidirect |
| 165. #3414 | D13 | semidirect |
| 282. C2×Q16 | C22⋊D13 | semidirect |
| 291. C2×D8 | C22⋊D13 | semidirect |
| 315. C2×C16 | C22⋊D13 | semidirect |
| 397. C13 | #13340 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127970 | 2 |
| #13125279 | 2 |
| #13116565 | 2 |
| #13116564 | 2 |
| #13115730 | 2 |
| #13112915 | 2 |
| C13×#3414 | 2 |
| #13340 | 13 |