Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
230 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 3. #13113654 | C2 | semidirect |
| 4. #13112805 | C2 | semidirect |
| 6. #13112756 | C2 | semidirect |
| 7. C13×#1368 | C2 | semidirect |
| 43. #88040 | C8 | semidirect |
| 61. Dic52 | C2×C8 | semidirect |
| 66. C13×C16 | C2×C8 | semidirect |
| 71. #1368 | D13 | semidirect |
| 168. C16 | C8×D13 | semidirect |
| 169. C13 | #12065 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116702 | 2 |
| #13113659 | 2 |
| #13113654 | 2 |
| #13112805 | 2 |
| #13112802 | 2 |
| #13112756 | 2 |
| C13×#1368 | 2 |
| #12065 | 13 |