Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
172 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 16. #16813533 | C4 | semidirect |
| 17. C4×#11744751 | C4 | semidirect |
| 79. C113 | #1833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813557 | 2 |
| #20298634 | 2 |
| #20298554 | 2 |
| #20298370 | 2 |
| #20298368 | 2 |
| #20298354 | 2 |
| H(3,ℤ/4)×C113 | 2 |
| #1833 | 113 |