Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
448 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 76 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. D13⋊#349 | C2 | semidirect |
| 2. #13130508 | C2 | semidirect |
| 3. #13129808 | C2 | semidirect |
| 4. #13129807 | C2 | semidirect |
| 7. C2×#88173 | C4 | semidirect |
| 11. C13×#470 | C4 | semidirect |
| 13. #11718796 | C4 | semidirect |
| 16. #11718521 | C4 | semidirect |
| 32. C2×C13×Q16 | C2×C4 | semidirect |
| 43. C2×D104 | C2×C4 | semidirect |
| 57. C13×#106 | C2×C4 | semidirect |
| 61. #88057 | C2×C4 | semidirect |
| 174. #470 | #261 | semidirect |
| 212. C2×Q16 | C2×#261 | semidirect |
| 244. #106 | C2×#261 | semidirect |
| 310. C13 | #11685 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#349 | 2 |
| #13130508 | 2 |
| #13129808 | 2 |
| #13129807 | 2 |
| #13124447 | 2 |
| #11685 | 13 |