Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
536 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 536 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. #13114874 | C2 | semidirect |
| 2. #13114612 | C2 | semidirect |
| 3. #13113352 | C2 | semidirect |
| 4. #13113196 | C2 | semidirect |
| 6. C22×C13×D8 | C4 | semidirect |
| 13. C2×C13×#107 | C4 | semidirect |
| 14. C2×C13×#102 | C4 | semidirect |
| 147. C22×D8 | Dic13 | semidirect |
| 155. C2×#107 | Dic13 | semidirect |
| 156. C2×#102 | Dic13 | semidirect |
| 272. C13 | #9818 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114874 | 2 |
| #13114612 | 2 |
| #13113352 | 2 |
| #13113196 | 2 |
| C2×C13×#466 | 2 |
| #9818 | 13 |