Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 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. #20298978 | C2 | semidirect |
| 4. #20298949 | C2 | semidirect |
| 5. #20298809 | C2 | semidirect |
| 59. C2×C4×C113 | Q16 | semidirect |
| 93. C113 | #3209 | semidirect |
| 160. C2×C4 | Dic452 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299155 | 2 |
| C2×#16813622 | 2 |
| #20298978 | 2 |
| #20298949 | 2 |
| #20298809 | 2 |
| #20298756 | 2 |
| #431×C113 | 2 |
| #3209 | 113 |