Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
602 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 602 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14573667 | C2 | semidirect |
| 3. #14568989 | C2 | semidirect |
| 4. #14562196 | C2 | semidirect |
| 5. #14562065 | C2 | semidirect |
| 6. #14561494 | C2 | semidirect |
| 7. C19×#1478 | C2 | semidirect |
| 90. C2×D4×C19 | SD16 | semidirect |
| 205. #1478 | D19 | semidirect |
| 316. C19 | #9998 | semidirect |
| 335. C2×D4 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573667 | 2 |
| #14573099 | 2 |
| #14568989 | 2 |
| #14562196 | 2 |
| #14562065 | 2 |
| #14561494 | 2 |
| C19×#1478 | 2 |
| #9998 | 19 |