Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
912 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 912 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14574573 | C2 | semidirect |
| 3. #14562304 | C2 | semidirect |
| 4. #14561468 | C2 | semidirect |
| 5. C19×#1994 | C2 | semidirect |
| 24. C19×C4⋊Q8 | D4 | semidirect |
| 43. C4⋊(C19⋊C8) | D4 | semidirect |
| 71. C42×C19 | SD16 | semidirect |
| 106. #1994 | D19 | semidirect |
| 146. C4⋊Q8 | D76 | semidirect |
| 166. C19 | #10290 | semidirect |
| 195. C42 | #64527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574573 | 2 |
| #14572030 | 2 |
| #14562304 | 2 |
| #14561468 | 2 |
| C19×#1994 | 2 |
| #10290 | 19 |