Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
446 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 15. #11718682 | C4 | semidirect |
| 16. #11718681 | C4 | semidirect |
| 293. C13 | #9178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124641 | 2 |
| #13117801 | 2 |
| #13113401 | 2 |
| #13113336 | 2 |
| #13112738 | 2 |
| #13112695 | 2 |
| C13×#1479 | 2 |
| #9178 | 13 |