Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
356 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 125 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×C4⋊#11744751 | C2 | semidirect |
| 3. #20298464 | C2 | semidirect |
| 4. #20298360 | C2 | semidirect |
| 15. C4×D4×C113 | C4 | semidirect |
| 95. C113 | #1804 | semidirect |
| 105. C4×D4 | Dic113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#11744751 | 2 |
| C2×#16813543 | 2 |
| #20298464 | 2 |
| #20298360 | 2 |
| C2×C4×D4×C113 | 2 |
| #1804 | 113 |