Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
460 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 460 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 |
|---|---|---|
| 3. #20298853 | C2 | semidirect |
| 4. #20298836 | C2 | semidirect |
| 5. #20298636 | C2 | semidirect |
| 6. #20298607 | C2 | semidirect |
| 7. C22×Q16×C113 | C2 | semidirect |
| 89. C113 | #3059 | semidirect |
| 90. C22×Q16 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813628 | 2 |
| #20299172 | 2 |
| #20298853 | 2 |
| #20298836 | 2 |
| #20298636 | 2 |
| #20298607 | 2 |
| C22×Q16×C113 | 2 |
| #3059 | 113 |