Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
628 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 628 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13126028 | C2 | semidirect |
| 3. #13120781 | C2 | semidirect |
| 4. #13113439 | C2 | semidirect |
| 5. #13113345 | C2 | semidirect |
| 6. #13112728 | C2 | semidirect |
| 7. C13×#1555 | C2 | semidirect |
| 128. #1555 | D13 | semidirect |
| 313. C13 | #10089 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126028 | 2 |
| #13125286 | 2 |
| #13120781 | 2 |
| #13113439 | 2 |
| #13113345 | 2 |
| #13112728 | 2 |
| C13×#1555 | 2 |
| #10089 | 13 |