Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
222 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 24. C13×Q32 | C8 | semidirect |
| 83. Q32 | #1057 | semidirect |
| 113. C13 | #12044 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q16×#1057 | 2 |
| #13129869 | 2 |
| #13129792 | 2 |
| #13129747 | 2 |
| Q32×Dic13 | 2 |
| #12044 | 13 |