Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
414 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 414 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 |
|---|---|---|
| 43. C2×C4⋊Dic19 | Q8 | semidirect |
| 44. C2×C4⋊Dic19 | Q8 | semidirect |
| 258. C19 | #10387 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14569296 | 2 |
| #14563735 | 2 |
| #14563732 | 2 |
| #14563710 | 2 |
| #14561544 | 2 |
| #14561487 | 2 |
| C19×#1284 | 2 |
| #10387 | 19 |