Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
148 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 10. #16812645 | C4 | semidirect |
| 64. C109 | #2176 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812645 | 2 |
| C4×Dic436 | 2 |
| #20294853 | 2 |
| #20294830 | 2 |
| #20294829 | 2 |
| #20294802 | 2 |
| C4×Q16×C109 | 2 |
| #2176 | 109 |