Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
224 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 75 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×#16813557 | C2 | semidirect |
| 4. #20298556 | C2 | semidirect |
| 5. #20298358 | C2 | semidirect |
| 6. #20298353 | C2 | semidirect |
| 13. #16813546 | C4 | semidirect |
| 14. #16813546 | C4 | semidirect |
| 15. #16813543 | C4 | semidirect |
| 16. #16813543 | C4 | semidirect |
| 106. C113 | #1929 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813557 | 2 |
| #20298594 | 2 |
| #20298565 | 2 |
| #20298556 | 2 |
| #20298358 | 2 |
| #20298353 | 2 |
| C2×#104×C113 | 2 |
| #1929 | 113 |