Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
232 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 59 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×#11718111 | C2 | semidirect |
| 2. #13117084 | C2 | semidirect |
| 3. D16×Dic13 | C2 | semidirect |
| 4. #13113031 | C2 | semidirect |
| 5. #13113015 | C2 | semidirect |
| 6. #13113014 | C2 | semidirect |
| 7. C2×C13×D32 | C2 | semidirect |
| 30. C13×D16 | D4 | semidirect |
| 64. C2×D32 | D13 | semidirect |
| 116. Dic13 | D32 | semidirect |
| 129. D16 | C22⋊D13 | semidirect |
| 164. C13 | #13685 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718111 | 2 |
| #13117084 | 2 |
| D16×Dic13 | 2 |
| #13113031 | 2 |
| #13113015 | 2 |
| #13113014 | 2 |
| C2×C13×D32 | 2 |
| #13685 | 13 |