Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
236 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 81. C113 | #1467 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813587 | 2 |
| #20298652 | 2 |
| #20298324 | 2 |
| #20298323 | 2 |
| #324×C113 | 2 |
| #1467 | 113 |