Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
456 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 70. C2×Q8×C19 | Q16 | semidirect |
| 91. C2×Dic38 | Q16 | semidirect |
| 250. C19 | #7759 | semidirect |
| 271. C2×Q8 | #64528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14571628 | 2 |
| #14564773 | 2 |
| #14564735 | 2 |
| #14561461 | 2 |
| #14561460 | 2 |
| C19×#2024 | 2 |
| #7759 | 19 |