Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
162 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 56 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. #20299649 | C2 | semidirect |
| 3. #20299461 | C2 | semidirect |
| 4. Q8⋊#11744753 | C2 | semidirect |
| 6. #20299439 | C2 | semidirect |
| 59. C8×C113 | M16 | semidirect |
| 78. C113 | #1592 | semidirect |
| 138. C8 | #14268656 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299649 | 2 |
| #20299633 | 2 |
| #20299461 | 2 |
| Q8⋊#11744753 | 2 |
| D4⋊#11744753 | 2 |
| #20299439 | 2 |
| SD16×Dic113 | 2 |
| #1592 | 113 |