Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
496 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 4. #13115752 | C2 | semidirect |
| 5. #13112931 | C2 | semidirect |
| 6. #13112926 | C2 | semidirect |
| 7. C13×#2141 | C2 | semidirect |
| 17. C2×#88068 | C4 | semidirect |
| 33. C2×C13×Q16 | C2×C4 | semidirect |
| 62. C2×#6090 | C2×C4 | semidirect |
| 113. #2141 | D13 | semidirect |
| 188. C2×Q16 | C4×D13 | semidirect |
| 269. C13 | #13019 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88068 | 2 |
| #13123687 | 2 |
| C2×#11718108 | 2 |
| #13115752 | 2 |
| #13112931 | 2 |
| #13112926 | 2 |
| C13×#2141 | 2 |
| #13019 | 13 |