Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
604 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 604 conjugacy classes of subgroups — too many to draw. Only its 124 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 |
|---|---|---|
| 3. C2×#11718244 | C2 | semidirect |
| 4. #13129672 | C2 | semidirect |
| 309. C13 | #8941 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719130 | 2 |
| C4×C22⋊#1057 | 2 |
| C2×#11718244 | 2 |
| #13129672 | 2 |
| #13117364 | 2 |
| #8941 | 13 |