Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
256 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 57 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. #15689278 | C2 | semidirect |
| 3. #15688860 | C2 | semidirect |
| 44. C23×C47 | Q16 | semidirect |
| 93. C47 | #1602 | semidirect |
| 132. C23 | #10625337 | semidirect |