Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
338 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 23. C13×#332 | C4 | semidirect |
| 24. #11718139 | C4 | semidirect |
| 25. #11718073 | C4 | semidirect |
| 26. #11718073 | C4 | semidirect |
| 156. #332 | #261 | semidirect |
| 254. C13 | #9580 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131021 | 2 |
| C4⋊C8×#261 | 2 |
| #13130406 | 2 |
| #13130145 | 2 |
| #13129728 | 2 |
| #13129663 | 2 |
| #13113492 | 2 |
| #9580 | 13 |