Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
452 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 127 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. #13127985 | C2 | semidirect |
| 2. #13117155 | C2 | semidirect |
| 3. #13117154 | C2 | semidirect |
| 4. #13117146 | C2 | semidirect |
| 5. #13117145 | C2 | semidirect |
| 6. D13×Q64 | C2 | semidirect |
| 7. #13117129 | C2 | semidirect |
| 8. C2×C13×Q64 | C2 | semidirect |
| 79. C2×Q64 | D13 | semidirect |
| 175. C13 | #33984 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127985 | 2 |
| #13117155 | 2 |
| #13117154 | 2 |
| #13117146 | 2 |
| #13117145 | 2 |
| D13×Q64 | 2 |
| #13117129 | 2 |
| C2×C13×Q64 | 2 |
| #33984 | 13 |