Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
530 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 134 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 |
|---|---|---|
| 30. #88198 | C8 | semidirect |
| 229. C13 | #9641 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130753 | 2 |
| #13130550 | 2 |
| C2×#11718244 | 2 |
| C2×Q8⋊#1057 | 2 |
| #13117405 | 2 |
| #9641 | 13 |