Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
222 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 77 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. #20298624 | C2 | semidirect |
| 5. #20298363 | C2 | semidirect |
| 6. #20298358 | C2 | semidirect |
| 7. C2×#97×C113 | C2 | semidirect |
| 14. #16813547 | C4 | semidirect |
| 15. #16813544 | C4 | semidirect |
| 91. C113 | #1938 | semidirect |
| 96. C2×#97 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298624 | 2 |
| C2×#16813550 | 2 |
| #20298595 | 2 |
| #20298564 | 2 |
| #20298363 | 2 |
| #20298358 | 2 |
| C2×#97×C113 | 2 |
| #1938 | 113 |