Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
594 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 105 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×#11718854 | C2 | semidirect |
| 2. C2×#11718158 | C2 | semidirect |
| 3. #13115712 | C2 | semidirect |
| 4. #13112920 | C2 | semidirect |
| 5. C13×#3150 | C2 | semidirect |
| 49. C2×D104 | D4 | semidirect |
| 56. #88052 | D4 | semidirect |
| 105. #3150 | D13 | semidirect |
| 264. C13 | #13341 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718854 | 2 |
| C2×#11718158 | 2 |
| #13115712 | 2 |
| #13112920 | 2 |
| C13×#3150 | 2 |
| #13341 | 13 |