Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
446 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 20. #11718512 | C4 | semidirect |
| 21. #11718511 | C4 | semidirect |
| 293. C13 | #9178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124643 | 2 |
| #13117799 | 2 |
| #13113401 | 2 |
| #13113334 | 2 |
| #13113232 | 2 |
| #13112696 | 2 |
| C13×#1303 | 2 |
| #9178 | 13 |