Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
460 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 127 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×Q16×D113 | C2 | semidirect |
| 4. #20298857 | C2 | semidirect |
| 5. #20298856 | C2 | semidirect |
| 6. #20298853 | C2 | semidirect |
| 7. #20298838 | C2 | semidirect |
| 8. #20298837 | C2 | semidirect |
| 9. #20298633 | C2 | semidirect |
| 10. #20298605 | C2 | semidirect |
| 11. #470×C113 | C2 | semidirect |
| 134. C113 | #3059 | semidirect |
| 141. #470 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×D113 | 2 |
| C2×#16813630 | 2 |
| #20299171 | 2 |
| #20298857 | 2 |
| #20298856 | 2 |
| #20298853 | 2 |
| #20298838 | 2 |
| #20298837 | 2 |
| #20298633 | 2 |
| #20298605 | 2 |
| #470×C113 | 2 |
| #3059 | 113 |