Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
292 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 82 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×#16813693 | C2 | semidirect |
| 3. #20299474 | C2 | semidirect |
| 65. C22×C113 | #108 | semidirect |
| 72. C2×D113 | #108 | semidirect |
| 86. C113 | #1810 | semidirect |
| 158. C22 | #16813693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813693 | 2 |
| #20299569 | 2 |
| #20299474 | 2 |
| C22×C8×D113 | 2 |
| #1810 | 113 |