Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 124 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 |
|---|---|---|
| 11. C4×C13×Q16 | C4 | semidirect |
| 12. Q16×Dic13 | C4 | semidirect |
| 15. #11718534 | C4 | semidirect |
| 18. C4×Dic52 | C4 | semidirect |
| 20. #11718280 | C4 | semidirect |
| 77. C13×Q16 | C42 | semidirect |
| 99. Dic52 | C42 | semidirect |
| 149. C4×Q16 | #261 | semidirect |
| 233. Q16 | C4×#261 | semidirect |
| 260. C13 | #12638 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718280 | 2 |
| #13131037 | 2 |
| C4×#88102 | 2 |
| #13129893 | 2 |
| C4×Q16×D13 | 2 |
| #12638 | 13 |