Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
302 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 115 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×#11718091 | C2 | semidirect |
| 2. C2×#11718096 | C2 | semidirect |
| 3. #13113017 | C2 | semidirect |
| 4. #13113014 | C2 | semidirect |
| 8. C13×#508 | C4 | semidirect |
| 27. C13×Q32 | C2×C4 | semidirect |
| 30. C13×D16 | C2×C4 | semidirect |
| 86. #508 | Dic13 | semidirect |
| 117. Q32 | C2×Dic13 | semidirect |
| 120. D16 | C2×Dic13 | semidirect |
| 155. C13 | #13616 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718091 | 2 |
| C2×#11718096 | 2 |
| #13113017 | 2 |
| #13113014 | 2 |
| C2×C13×#508 | 2 |
| #13616 | 13 |