Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
698 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 698 conjugacy classes of subgroups — too many to draw. Only its 140 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. #13130751 | C2 | semidirect |
| 2. #13130550 | C2 | semidirect |
| 3. C2×#11718243 | C2 | semidirect |
| 35. #88128 | C8 | semidirect |
| 38. C4×#1057 | D4 | semidirect |
| 196. C13 | #9642 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130751 | 2 |
| #13130550 | 2 |
| C2×#11718243 | 2 |
| #13117398 | 2 |
| #9642 | 13 |