Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
402 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 102 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. #13131043 | C2 | semidirect |
| 2. D13⋊#335 | C2 | semidirect |
| 3. #13129792 | C2 | semidirect |
| 4. #13129791 | C2 | semidirect |
| 30. #88173 | C8 | semidirect |
| 72. C13×Q16 | C2×C8 | semidirect |
| 93. D104 | C2×C8 | semidirect |
| 220. Q16 | D13⋊C8 | semidirect |
| 248. C13 | #11592 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131043 | 2 |
| D13⋊#335 | 2 |
| #13129792 | 2 |
| #13129791 | 2 |
| C4×#88173 | 2 |
| #11592 | 13 |