Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 120 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 |
|---|---|---|
| 12. Q16×#261 | C4 | semidirect |
| 20. #11718280 | C4 | semidirect |
| 23. C13×#358 | C4 | semidirect |
| 24. #11718156 | C4 | semidirect |
| 25. #11718095 | C4 | semidirect |
| 26. #11718084 | C4 | semidirect |
| 92. C13×Q16 | C42 | semidirect |
| 101. Dic52 | C42 | semidirect |
| 170. #358 | #261 | semidirect |
| 255. Q16 | C4×#261 | semidirect |
| 280. C13 | #12638 | 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 |
| C2×#11718216 | 2 |
| #107×#261 | 2 |
| #13129894 | 2 |
| #13129893 | 2 |
| D13×#358 | 2 |
| #12638 | 13 |