Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
338 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 1. C2×#11718079 | C2 | semidirect |
| 5. #13112944 | C2 | semidirect |
| 6. #13112916 | C2 | semidirect |
| 7. C13×#1776 | C2 | semidirect |
| 19. #11718084 | C4 | semidirect |
| 20. #11718083 | C4 | semidirect |
| 99. #1776 | D13 | semidirect |
| 242. C13 | #13143 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718079 | 2 |
| C2×#11718080 | 2 |
| #13116546 | 2 |
| #13115729 | 2 |
| #13112944 | 2 |
| #13112916 | 2 |
| C13×#1776 | 2 |
| #13143 | 13 |