Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
396 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 23. C13×#358 | C4 | semidirect |
| 24. #11718156 | C4 | semidirect |
| 25. #11718095 | C4 | semidirect |
| 26. #11718084 | C4 | semidirect |
| 162. #358 | #261 | semidirect |
| 263. C13 | #12957 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719110 | 2 |
| C2×#11718220 | 2 |
| C2×#11718282 | 2 |
| #13130945 | 2 |
| #13129907 | 2 |
| #13129876 | 2 |
| #13116554 | 2 |
| #12957 | 13 |