Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
552 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 110. #6099 | Q16 | semidirect |
| 272. C13 | #10155 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125781 | 2 |
| #13125383 | 2 |
| C2×#11718360 | 2 |
| #13115824 | 2 |
| #13113522 | 2 |
| #13112673 | 2 |
| C13×#1493 | 2 |
| #10155 | 13 |