Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
176 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 49. C8×C113 | Q16 | semidirect |
| 64. C113 | #1723 | semidirect |
| 115. C8 | #14268637 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299003 | 2 |
| #20299001 | 2 |
| #20298977 | 2 |
| #20298950 | 2 |
| #20298948 | 2 |
| #20298319 | 2 |
| #498×C113 | 2 |
| #1723 | 113 |