Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
314 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 314 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 |
|---|---|---|
| 2. #20299075 | C2 | semidirect |
| 5. C2×#16813540 | C2 | semidirect |
| 6. #20298354 | C2 | semidirect |
| 7. H(3,ℤ/4)×C113 | C2 | semidirect |
| 11. #16813622 | C4 | semidirect |
| 12. #16813610 | C4 | semidirect |
| 110. C113 | #1912 | semidirect |
| 117. H(3,ℤ/4) | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299174 | 2 |
| #20299075 | 2 |
| #20298616 | 2 |
| #20298614 | 2 |
| C2×#16813540 | 2 |
| #20298354 | 2 |
| H(3,ℤ/4)×C113 | 2 |
| #1912 | 113 |