Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
286 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 123 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. #11718097 | C4 | semidirect |
| 16. #11718096 | C4 | semidirect |
| 146. C13 | #13169 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718098 | 2 |
| #13116620 | 2 |
| #13115584 | 2 |
| #13112932 | 2 |
| C2×C4×C13×C16 | 2 |
| #13169 | 13 |