Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
322 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 219 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 |
|---|---|---|
| 2. #13112754 | C2 | semidirect |
| 48. C8×C13 | M32 | semidirect |
| 91. C13 | #11402 | semidirect |
| 100. C8 | #88052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88052 | 2 |
| #13112754 | 2 |
| C2×C82×C13 | 2 |
| #11402 | 13 |