Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
552 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 141 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×#16813654 | C2 | semidirect |
| 2. C2×#16813651 | C2 | semidirect |
| 4. C4⋊Q8×D113 | C2 | semidirect |
| 5. #20298993 | C2 | semidirect |
| 6. #20298992 | C2 | semidirect |
| 7. #20298990 | C2 | semidirect |
| 8. #20298976 | C2 | semidirect |
| 9. #20298969 | C2 | semidirect |
| 10. #20298550 | C2 | semidirect |
| 11. #497×C113 | C2 | semidirect |
| 63. #14268630 | D4 | semidirect |
| 124. Dic113 | #137 | semidirect |
| 131. C113 | #3152 | semidirect |
| 139. #497 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813654 | 2 |
| C2×#16813651 | 2 |
| #20299147 | 2 |
| C4⋊Q8×D113 | 2 |
| #20298993 | 2 |
| #20298992 | 2 |
| #20298990 | 2 |
| #20298976 | 2 |
| #20298969 | 2 |
| #20298550 | 2 |
| #497×C113 | 2 |
| #3152 | 113 |