Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
478 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 113 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×#11718568 | C2 | semidirect |
| 3. C2×#11718154 | C2 | semidirect |
| 4. #13114897 | C2 | semidirect |
| 5. #13112945 | C2 | semidirect |
| 6. #13112929 | C2 | semidirect |
| 7. C2×C13×#361 | C2 | semidirect |
| 15. #11718821 | C4 | semidirect |
| 119. C2×#361 | D13 | semidirect |
| 293. C13 | #13073 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718568 | 2 |
| C2×#11718821 | 2 |
| C2×#11718154 | 2 |
| #13114897 | 2 |
| #13112945 | 2 |
| #13112929 | 2 |
| C2×C13×#361 | 2 |
| #13073 | 13 |