Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
402 conjugacy classes of subgroups; only the 243 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 243 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 |
|---|---|---|
| 10. #11718058 | C4 | semidirect |
| 11. #11718053 | C4 | semidirect |
| 12. C4×#6090 | C4 | semidirect |
| 108. C13 | #12541 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718058 | 2 |
| C4×#88052 | 2 |
| C13×#1726 | 2 |
| #12541 | 13 |