Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
834 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 834 conjugacy classes of subgroups — too many to draw. Only its 120 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×#11718285 | C2 | semidirect |
| 2. #13129765 | C2 | direct (N × H) |
| 13. #11718285 | C22 | semidirect |
| 23. C22×D52 | C8 | semidirect |
| 74. C2×D52 | C2×C8 | semidirect |
| 196. C2×C13 | #1318 | semidirect |
| 245. C13 | C2×#1318 | semidirect |
| 321. C2 | #13129765 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718285 | 2 |
| #13129765 | 2 |
| C2×#11718600 | 2 |
| C2×#1318 | 13 |