Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
348 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 50 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 |
|---|---|---|
| 5. C13×#384 | C4 | semidirect |
| 7. C2×C4×#1055 | C4 | semidirect |
| 9. #11718225 | C4 | semidirect |
| 84. #384 | #261 | semidirect |
| 152. C13 | #7498 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718225 | 2 |
| #13115641 | 2 |
| #7498 | 13 |