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. #13113655 | C2 | semidirect |
| 4. #13112901 | C2 | semidirect |
| 6. #13112758 | C2 | semidirect |
| 7. C13×#1334 | C2 | semidirect |
| 33. #88068 | C8 | semidirect |
| 49. C13×Q16 | C2×C8 | semidirect |
| 67. #6090 | C2×C8 | semidirect |
| 72. #1334 | D13 | semidirect |
| 150. Q16 | 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 |
|---|---|
| #13116698 | 2 |
| #13113659 | 2 |
| #13113655 | 2 |
| #13112901 | 2 |
| #13112804 | 2 |
| #13112758 | 2 |
| C13×#1334 | 2 |
| #12065 | 13 |