Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
224 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 9. #16813556 | C4 | semidirect |
| 10. #16813554 | C4 | semidirect |
| 12. #16813532 | C4 | semidirect |
| 16. #108×C113 | C4 | semidirect |
| 63. C113 | #1773 | semidirect |
| 74. #108 | Dic113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298636 | 2 |
| #20298556 | 2 |
| C2×#16813532 | 2 |
| #20298359 | 2 |
| C2×#108×C113 | 2 |
| #1773 | 113 |