Finite Group DatabasebetaFinite Group DatabasebetaOrder 13568.
632 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 95 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. C4×#13133134 | C2 | semidirect |
| 2. #20273033 | C2 | semidirect |
| 3. #20272745 | C2 | semidirect |
| 4. #20272718 | C2 | semidirect |
| 230. C53 | #11733 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13133134 | 2 |
| #20273033 | 2 |
| #20272745 | 2 |
| #20272718 | 2 |
| C53×#2388 | 2 |
| #11733 | 53 |