Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
418 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 110 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. #13131197 | C2 | semidirect |
| 2. #13129756 | C2 | semidirect |
| 158. C13 | #11488 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131197 | 2 |
| #13129756 | 2 |
| C2×D4×#1055 | 2 |
| #11488 | 13 |