Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
634 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 634 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. #13126143 | C2 | semidirect |
| 2. #13124300 | C2 | semidirect |
| 3. #13115631 | C2 | semidirect |
| 4. #13113287 | C2 | semidirect |
| 5. #13113286 | C2 | semidirect |
| 6. #13112710 | C2 | semidirect |
| 7. C13×#3036 | C2 | semidirect |
| 103. C2×D4×C13 | D8 | semidirect |
| 157. #3036 | D13 | semidirect |
| 359. C2×D4 | #6104 | semidirect |
| 402. C13 | #10254 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126143 | 2 |
| #13124300 | 2 |
| #13115631 | 2 |
| #13113287 | 2 |
| #13113286 | 2 |
| #13112710 | 2 |
| C13×#3036 | 2 |
| #10254 | 13 |