Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1022 conjugacy classes of subgroups; only the 191 normal subgroups are shown.
This group has 1022 conjugacy classes of subgroups — too many to draw. Only its 191 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. #13128646 | C2 | semidirect |
| 4. #13115993 | C2 | semidirect |
| 5. #13115780 | C2 | semidirect |
| 6. #13115237 | C2 | semidirect |
| 7. C4×C13×#101 | C2 | semidirect |
| 130. C4×#101 | D13 | semidirect |
| 304. C13 | #25920 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128646 | 2 |
| #13125211 | 2 |
| #13119835 | 2 |
| #13115993 | 2 |
| #13115780 | 2 |
| #13115237 | 2 |
| C4×C13×#101 | 2 |
| #25920 | 13 |