Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
572 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 141 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×#16813645 | C2 | semidirect |
| 2. C2×#16813643 | C2 | semidirect |
| 3. C2×#16813641 | C2 | semidirect |
| 4. #20299147 | C2 | semidirect |
| 5. #20298982 | C2 | semidirect |
| 6. #20298980 | C2 | semidirect |
| 7. #20298976 | C2 | semidirect |
| 8. #20298973 | C2 | semidirect |
| 9. #20298969 | C2 | semidirect |
| 10. C4×C8×D113 | C2 | semidirect |
| 11. #495×C113 | C2 | semidirect |
| 62. C8×D113 | D4 | semidirect |
| 63. C8×D113 | D4 | semidirect |
| 119. Dic113 | #135 | semidirect |
| 126. C113 | #3147 | semidirect |
| 133. #495 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813645 | 2 |
| C2×#16813643 | 2 |
| C2×#16813641 | 2 |
| #20299147 | 2 |
| #20298982 | 2 |
| #20298980 | 2 |
| #20298976 | 2 |
| #20298973 | 2 |
| #20298969 | 2 |
| C4×C8×D113 | 2 |
| #495×C113 | 2 |
| #3147 | 113 |