Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
384 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 149 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×#16813614 | C2 | semidirect |
| 2. #20298905 | C2 | semidirect |
| 3. #20298898 | C2 | semidirect |
| 4. #20298641 | C2 | semidirect |
| 5. #20298622 | C2 | semidirect |
| 91. C113 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813614 | 2 |
| #20298905 | 2 |
| #20298898 | 2 |
| #20298641 | 2 |
| #20298622 | 2 |
| #20298599 | 2 |
| C4×#41×C113 | 2 |
| #3080 | 113 |