Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
414 conjugacy classes of subgroups; only the 152 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 152 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 |
|---|---|---|
| 14. #11718255 | C4 | semidirect |
| 15. C8×#1057 | C4 | semidirect |
| 96. #1057 | #106 | semidirect |
| 98. #1055 | #97 | semidirect |
| 181. C13 | #8283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130632 | 2 |
| C2×#11718255 | 2 |
| C2×C8×#1057 | 2 |
| #13129672 | 2 |
| #13114724 | 2 |
| #8283 | 13 |