Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
272 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 89 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×#16813717 | C2 | semidirect |
| 2. #20299695 | C2 | semidirect |
| 3. C22⋊#14268659 | C2 | semidirect |
| 6. C2×#14268659 | C22 | semidirect |
| 38. C22×D113 | C16 | semidirect |
| 60. C22×C113 | C2×C16 | semidirect |
| 67. C2×D113 | C2×C16 | semidirect |
| 79. D113 | C22⋊C16 | semidirect |
| 81. C113 | C2×C22⋊C16 | semidirect |
| 148. C22 | #16813717 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813717 | 2 |
| #20299695 | 2 |
| C22⋊#14268659 | 2 |
| C22×#14268655 | 2 |
| C2×C22⋊C16 | 113 |