Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
484 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 153 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×#16813653 | C2 | semidirect |
| 3. #20298820 | C2 | semidirect |
| 4. #20298808 | C2 | semidirect |
| 5. #20298798 | C2 | semidirect |
| 6. #20298622 | C2 | semidirect |
| 7. #20298597 | C2 | semidirect |
| 8. C2×C4×Q8×C113 | C2 | semidirect |
| 52. C2×Q8×C113 | D4 | semidirect |
| 111. C4×C113 | #137 | semidirect |
| 121. C113 | #3037 | semidirect |
| 124. C2×C4×Q8 | D113 | semidirect |
| 160. C2×Q8 | D452 | semidirect |
| 233. C4 | #16813653 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813653 | 2 |
| #20299148 | 2 |
| #20298820 | 2 |
| #20298808 | 2 |
| #20298798 | 2 |
| #20298622 | 2 |
| #20298597 | 2 |
| C2×C4×Q8×C113 | 2 |
| #3037 | 113 |