Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
438 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 148 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 |
|---|---|---|
| 15. C13×#322 | C4 | semidirect |
| 16. #11718047 | C4 | semidirect |
| 17. #11718046 | C4 | semidirect |
| 83. C8×C13 | #106 | semidirect |
| 85. #1055 | #106 | semidirect |
| 97. #322 | #261 | semidirect |
| 157. C13 | #8819 | semidirect |
| 177. C8 | #88101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130772 | 2 |
| #13130771 | 2 |
| #13130757 | 2 |
| D13×#322 | 2 |
| #8819 | 13 |