Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
370 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 112 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. C13×#335 | C4 | semidirect |
| 18. #11718071 | C4 | semidirect |
| 19. #11718050 | C4 | semidirect |
| 106. C8×C13 | #107 | semidirect |
| 109. #1055 | #107 | semidirect |
| 123. #335 | #261 | semidirect |
| 202. C13 | #9617 | semidirect |
| 229. C8 | #88102 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130947 | 2 |
| #13130771 | 2 |
| #13130630 | 2 |
| #13129715 | 2 |
| D13×#335 | 2 |
| #9617 | 13 |