Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
730 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 730 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13114530 | C2 | semidirect |
| 2. #13112662 | C2 | semidirect |
| 3. #13112657 | C2 | semidirect |
| 52. C2×Q8×C13 | M16 | semidirect |
| 59. C2×D4×C13 | M16 | semidirect |
| 216. C2×Q8 | #6099 | semidirect |
| 223. C2×D4 | #6099 | semidirect |
| 256. C13 | #7631 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114530 | 2 |
| #13112662 | 2 |
| #13112657 | 2 |
| C13×#2297 | 2 |
| #7631 | 13 |