Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
356 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 113 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. #20299320 | C2 | semidirect |
| 2. #20298991 | C2 | semidirect |
| 4. #20298820 | C2 | semidirect |
| 6. #20298807 | C2 | semidirect |
| 7. #20298728 | C2 | semidirect |
| 8. #20298697 | C2 | semidirect |
| 9. C4×Q16×C113 | C2 | semidirect |
| 103. C113 | #3402 | semidirect |
| 112. C4×Q16 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299320 | 2 |
| #20298991 | 2 |
| #20298982 | 2 |
| #20298820 | 2 |
| #20298816 | 2 |
| #20298807 | 2 |
| #20298728 | 2 |
| #20298697 | 2 |
| C4×Q16×C113 | 2 |
| #3402 | 113 |