Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
484 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 131 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×#16813651 | C2 | semidirect |
| 3. C4×Q8×D113 | C2 | semidirect |
| 4. #20298819 | C2 | semidirect |
| 5. #20298818 | C2 | semidirect |
| 6. #20298809 | C2 | semidirect |
| 7. #20298808 | C2 | semidirect |
| 8. #20298795 | C2 | semidirect |
| 9. #20298620 | C2 | semidirect |
| 10. #20298596 | C2 | semidirect |
| 11. #460×C113 | C2 | semidirect |
| 50. Q8×D113 | D4 | semidirect |
| 132. C4×C113 | #137 | semidirect |
| 147. C113 | #3037 | semidirect |
| 156. #460 | D113 | semidirect |
| 285. C4 | #16813651 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813651 | 2 |
| #20299146 | 2 |
| C4×Q8×D113 | 2 |
| #20298819 | 2 |
| #20298818 | 2 |
| #20298809 | 2 |
| #20298808 | 2 |
| #20298795 | 2 |
| #20298620 | 2 |
| #20298596 | 2 |
| #460×C113 | 2 |
| #3037 | 113 |