Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
934 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 934 conjugacy classes of subgroups — too many to draw. Only its 128 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. C2×#11718280 | C2 | semidirect |
| 6. C22×C13×Q16 | C4 | semidirect |
| 11. C2×Q16×D13 | C4 | semidirect |
| 13. C22×Dic52 | C4 | semidirect |
| 99. C13×Q16 | C22⋊C4 | semidirect |
| 110. Dic52 | C22⋊C4 | semidirect |
| 169. C22×Q16 | #261 | semidirect |
| 180. C22×C13 | #358 | semidirect |
| 186. C2×D13 | #358 | semidirect |
| 284. Q16 | C22⋊#261 | semidirect |
| 299. C13 | #12732 | semidirect |
| 352. C22 | #11718280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718280 | 2 |
| D13⋊(C22⋊C16) | 2 |
| #13130713 | 2 |
| C22×Q16×D13 | 2 |
| #12732 | 13 |