Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
398 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 73 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. #13120484 | C2 | semidirect |
| 5. #13112701 | C2 | semidirect |
| 6. #13112691 | C2 | semidirect |
| 7. C13×#1300 | C2 | semidirect |
| 41. #88128 | Q8 | semidirect |
| 44. #88123 | Q8 | semidirect |
| 114. #1300 | D13 | semidirect |
| 290. C13 | #10378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13120484 | 2 |
| #13115755 | 2 |
| #13113384 | 2 |
| #13113343 | 2 |
| #13112701 | 2 |
| #13112691 | 2 |
| C13×#1300 | 2 |
| #10378 | 13 |