Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
490 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|---|
| 20. C2×C13×Q32 | C4 | semidirect |
| 21. C2×#88069 | C4 | semidirect |
| 22. C2×#88069 | C4 | semidirect |
| 25. C2×Dic104 | C4 | semidirect |
| 148. C2×#261 | Q32 | semidirect |
| 188. C2×Q32 | #261 | semidirect |
| 326. C13 | #13015 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×#261 | 2 |
| C2×#11718280 | 2 |
| #13130982 | 2 |
| #13129894 | 2 |
| (C2×#261)⋊C16 | 2 |
| C2×D13×Q32 | 2 |
| #13015 | 13 |