Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
262 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 262 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 |
|---|---|---|
| 12. C4⋊#6092 | C4 | semidirect |
| 13. C13×#346 | C4 | semidirect |
| 15. #11718053 | C4 | semidirect |
| 102. #346 | #261 | semidirect |
| 172. C13 | #7170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊(C4⋊C16) | 2 |
| #13130630 | 2 |
| D13×#346 | 2 |
| #7170 | 13 |