Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
632 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 7. C22×C4⋊Dic13 | C4 | semidirect |
| 9. C2×C13×#95 | C4 | semidirect |
| 12. #11718289 | C4 | semidirect |
| 14. #11718287 | C4 | semidirect |
| 202. C2×#95 | #261 | semidirect |
| 370. C13 | #7250 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718289 | 2 |
| C2×#11718287 | 2 |
| #13113082 | 2 |
| #7250 | 13 |