Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
384 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 86 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. C4×#88102 | C2 | semidirect |
| 2. #13130399 | C2 | semidirect |
| 4. #13129688 | C2 | semidirect |
| 10. C8×Q8×C13 | C4 | semidirect |
| 11. #11718685 | C4 | semidirect |
| 13. #11718499 | C4 | semidirect |
| 18. C8×D52 | C4 | semidirect |
| 139. C8×Q8 | #261 | semidirect |
| 255. C13 | #8697 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88102 | 2 |
| #13130399 | 2 |
| #13130240 | 2 |
| #13129688 | 2 |
| #13123813 | 2 |
| #8697 | 13 |