Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 12. #11718754 | C4 | semidirect |
| 13. #11718753 | C4 | semidirect |
| 92. C42×C13 | Q16 | semidirect |
| 267. C42 | #6107 | semidirect |
| 272. C13 | #9297 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125781 | 2 |
| #13117584 | 2 |
| #13113518 | 2 |
| #13113400 | 2 |
| #13112696 | 2 |
| #13112665 | 2 |
| C13×#1995 | 2 |
| #9297 | 13 |