Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
242 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 2. C4×C4⋊Dic113 | C2 | semidirect |
| 3. #20298336 | C2 | semidirect |
| 5. #432×C113 | C2 | semidirect |
| 7. #16813614 | C4 | semidirect |
| 8. #16813610 | C4 | semidirect |
| 12. C4×Dic226 | C4 | semidirect |
| 13. C4×D452 | C4 | semidirect |
| 99. C113 | #1509 | semidirect |
| 101. #432 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299132 | 2 |
| C4×C4⋊Dic113 | 2 |
| #20298336 | 2 |
| #20298333 | 2 |
| #432×C113 | 2 |
| #1509 | 113 |