Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
476 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 213 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 |
|---|---|---|
| 3. #20298641 | C2 | semidirect |
| 4. #20298639 | C2 | semidirect |
| 5. #20298633 | C2 | semidirect |
| 6. C2×#16813554 | C2 | semidirect |
| 7. #106×D113 | C2 | semidirect |
| 8. #427×C113 | C2 | semidirect |
| 10. #16813628 | C4 | semidirect |
| 37. #14268631 | C2×C4 | semidirect |
| 38. #14268630 | C2×C4 | semidirect |
| 40. C8×D113 | C2×C4 | semidirect |
| 47. C2×C8×C113 | C2×C4 | semidirect |
| 91. C113 | #2912 | semidirect |
| 97. #427 | D113 | semidirect |
| 133. C2×C8 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813628 | 2 |
| #20299078 | 2 |
| #20298641 | 2 |
| #20298639 | 2 |
| #20298633 | 2 |
| C2×#16813554 | 2 |
| #106×D113 | 2 |
| #427×C113 | 2 |
| #2912 | 113 |