Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
148 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 10. #16813568 | C4 | semidirect |
| 64. C113 | #2176 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813568 | 2 |
| C4×Dic452 | 2 |
| #20298425 | 2 |
| #20298402 | 2 |
| #20298401 | 2 |
| #20298374 | 2 |
| C4×Q16×C113 | 2 |
| #2176 | 113 |