Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
502 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 502 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 |
|---|---|---|
| 32. C2×Dic52 | C8 | semidirect |
| 65. C2×#1057 | Q16 | semidirect |
| 213. C13 | #9656 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131006 | 2 |
| C2×#11718254 | 2 |
| C2×#11718244 | 2 |
| C2×C8×#1057 | 2 |
| C2×#11718534 | 2 |
| #9656 | 13 |