Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
642 conjugacy classes of subgroups; only the 194 normal subgroups are shown.
This group has 642 conjugacy classes of subgroups — too many to draw. Only its 194 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. #13130936 | C2 | semidirect |
| 3. #13130894 | C2 | semidirect |
| 5. #13130768 | C2 | semidirect |
| 6. #13130763 | C2 | semidirect |
| 67. C42×C13 | M16 | semidirect |
| 193. C42 | #6118 | semidirect |
| 194. C13 | #23378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130936 | 2 |
| #13130911 | 2 |
| #13130894 | 2 |
| #13130782 | 2 |
| #13130768 | 2 |
| #13130763 | 2 |
| #13117384 | 2 |
| #23378 | 13 |