Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
254 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 72 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 |
|---|---|---|
| 19. C13×#365 | C4 | semidirect |
| 20. #11718105 | C4 | semidirect |
| 21. #11718086 | C4 | semidirect |
| 22. #11718079 | C4 | semidirect |
| 125. #365 | #261 | semidirect |
| 205. C13 | #13117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130943 | 2 |
| #108×#261 | 2 |
| #13129918 | 2 |
| #13129914 | 2 |
| #13129905 | 2 |
| #13129879 | 2 |
| #13116607 | 2 |
| #13117 | 13 |