Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1254 conjugacy classes of subgroups; only the 207 normal subgroups are shown.
This group has 1254 conjugacy classes of subgroups — too many to draw. Only its 207 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. #13125954 | C2 | semidirect |
| 2. #13119828 | C2 | semidirect |
| 3. #13113822 | C2 | semidirect |
| 4. #13113331 | C2 | semidirect |
| 5. #13113157 | C2 | semidirect |
| 17. C2×#88123 | C22 | semidirect |
| 21. #11718694 | C22 | semidirect |
| 24. #11718614 | C22 | semidirect |
| 25. C4×C4⋊Dic13 | C22 | semidirect |
| 26. #11718586 | C22 | semidirect |
| 27. #11718129 | C22 | semidirect |
| 28. #11718117 | C22 | semidirect |
| 321. C13 | #18394 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125954 | 2 |
| #13119828 | 2 |
| #13113822 | 2 |
| #13113331 | 2 |
| #13113157 | 2 |
| C13×#3496 | 2 |
| #18394 | 13 |