Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
272 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 10. #16813690 | C4 | semidirect |
| 11. #16813676 | C4 | semidirect |
| 15. #16813556 | C4 | semidirect |
| 16. #16813555 | C4 | semidirect |
| 17. #107×C113 | C4 | semidirect |
| 55. C8×C113 | C42 | semidirect |
| 56. #11744751 | C42 | semidirect |
| 76. C113 | #1776 | semidirect |
| 90. #107 | #90673 | semidirect |
| 132. C8 | C4×#90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813690 | 2 |
| C2×#16813676 | 2 |
| C4⋊C4×#90673 | 2 |
| #20299471 | 2 |
| #107×D113 | 2 |
| #1776 | 113 |