Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
606 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 606 conjugacy classes of subgroups — too many to draw. Only its 136 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 |
|---|---|---|
| 11. C2×C13×#106 | C4 | semidirect |
| 12. C2×#88057 | C4 | semidirect |
| 13. C2×#88047 | C4 | semidirect |
| 150. C2×#106 | #261 | semidirect |
| 261. C13 | #11364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130536 | 2 |
| #13130522 | 2 |
| #13130515 | 2 |
| #13130501 | 2 |
| C2×#11718521 | 2 |
| #11364 | 13 |