Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
542 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #14562390 | C2 | semidirect |
| 4. #14562316 | C2 | semidirect |
| 6. M16×C19⋊C8 | C2 | semidirect |
| 7. C19×#1997 | C2 | semidirect |
| 81. M16×C19 | SD16 | semidirect |
| 132. C19⋊C8 | #100 | semidirect |
| 134. #1997 | D19 | semidirect |
| 214. C19 | #9793 | semidirect |
| 238. M16 | #64527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926918 | 2 |
| #14564475 | 2 |
| #14562390 | 2 |
| #14562316 | 2 |
| #14562304 | 2 |
| M16×C19⋊C8 | 2 |
| C19×#1997 | 2 |
| #9793 | 19 |