Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
326 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 112. C113 | #3374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299327 | 2 |
| #20299326 | 2 |
| #20298965 | 2 |
| #20298949 | 2 |
| #20298904 | 2 |
| #20298883 | 2 |
| #20298808 | 2 |
| #20298806 | 2 |
| #20298728 | 2 |
| #20298702 | 2 |
| C4×Q16×C113 | 2 |
| #3374 | 113 |