Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
402 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 93 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×#11718516 | C2 | semidirect |
| 5. #13112936 | C2 | semidirect |
| 6. #13112917 | C2 | semidirect |
| 7. C13×#1383 | C2 | semidirect |
| 32. C2×Dic52 | Q8 | semidirect |
| 37. C2×D104 | Q8 | semidirect |
| 105. #1383 | D13 | semidirect |
| 247. C13 | #13371 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718516 | 2 |
| C2×#11718110 | 2 |
| C2×#11718080 | 2 |
| #13115722 | 2 |
| #13112936 | 2 |
| #13112917 | 2 |
| C13×#1383 | 2 |
| #13371 | 13 |