Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
568 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 88 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. #13130535 | C2 | semidirect |
| 2. #13130069 | C2 | semidirect |
| 3. #13129814 | C2 | semidirect |
| 6. C2×C13×#127 | C4 | semidirect |
| 13. #11718883 | C4 | semidirect |
| 15. #11718597 | C4 | semidirect |
| 146. C2×#127 | #261 | semidirect |
| 272. C13 | #11693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130535 | 2 |
| #13130069 | 2 |
| #13129814 | 2 |
| #13120587 | 2 |
| #11693 | 13 |