Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
634 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 634 conjugacy classes of subgroups — too many to draw. Only its 144 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×#107 | C4 | semidirect |
| 12. C2×#88058 | C4 | semidirect |
| 13. C2×#88047 | C4 | semidirect |
| 154. C2×#107 | #261 | semidirect |
| 269. C13 | #11365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130539 | 2 |
| #13130528 | 2 |
| #13130523 | 2 |
| #13130501 | 2 |
| C2×D13×#107 | 2 |
| #11365 | 13 |