Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
146 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 53. C8×C113 | Q16 | semidirect |
| 71. C113 | #1692 | semidirect |
| 127. C8 | #14268637 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298890 | 2 |
| #20298805 | 2 |
| #20298728 | 2 |
| #20298351 | 2 |
| #20298347 | 2 |
| #20298344 | 2 |
| #498×C113 | 2 |
| #1692 | 113 |