Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
898 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 898 conjugacy classes of subgroups — too many to draw. Only its 170 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 |
|---|---|---|
| 13. C2×#88113 | C4 | semidirect |
| 334. C13 | #10940 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88113 | 2 |
| #13131400 | 2 |
| C2×#11718239 | 2 |
| #13130542 | 2 |
| #13117421 | 2 |
| #10940 | 13 |