Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
344 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 79 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. #20299364 | C2 | semidirect |
| 3. #20298603 | C2 | semidirect |
| 4. #20298571 | C2 | semidirect |
| 5. #20298355 | C2 | semidirect |
| 6. #20298354 | C2 | semidirect |
| 7. #418×C113 | C2 | semidirect |
| 13. #16813618 | C4 | semidirect |
| 14. #16813609 | C4 | semidirect |
| 37. C2×#11744751 | D4 | semidirect |
| 56. C2×C8×C113 | D4 | semidirect |
| 116. C113 | #1910 | semidirect |
| 120. #418 | D113 | semidirect |
| 165. C2×C8 | C22⋊D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299364 | 2 |
| #20299165 | 2 |
| #20298603 | 2 |
| #20298571 | 2 |
| #20298355 | 2 |
| #20298354 | 2 |
| #418×C113 | 2 |
| #1910 | 113 |