Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
624 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 624 conjugacy classes of subgroups — too many to draw. Only its 127 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. #14572199 | C2 | semidirect |
| 3. #14562302 | C2 | semidirect |
| 4. #14561494 | C2 | semidirect |
| 5. C19×#1458 | C2 | semidirect |
| 56. C4⋊(C19⋊C8) | D4 | semidirect |
| 154. #1458 | D19 | semidirect |
| 241. C19 | #9197 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572199 | 2 |
| #14569385 | 2 |
| #14562302 | 2 |
| #14561494 | 2 |
| C19×#1458 | 2 |
| #9197 | 19 |