Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1434 conjugacy classes of subgroups; only the 180 normal subgroups are shown.
This group has 1434 conjugacy classes of subgroups — too many to draw. Only its 180 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. C22×#88113 | C2 | semidirect |
| 3. C2×#11718291 | C2 | semidirect |
| 145. C23×C13 | #101 | semidirect |
| 339. C13 | #10968 | semidirect |
| 353. C23 | #88113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88113 | 2 |
| C2×#11719169 | 2 |
| C2×#11718291 | 2 |
| C22×#88132 | 2 |
| #10968 | 13 |