Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
376 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 17. #11718377 | C4 | semidirect |
| 223. C13 | #12827 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123705 | 2 |
| C2×#11718109 | 2 |
| #13116557 | 2 |
| #13114960 | 2 |
| #13112951 | 2 |
| #13112938 | 2 |
| C13×#2153 | 2 |
| #12827 | 13 |