Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
264 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 109 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. C2×#13093960 | C2 | semidirect |
| 2. C2×#13093956 | C2 | semidirect |
| 4. #15688891 | C2 | semidirect |
| 15. #131×C47 | C4 | semidirect |
| 90. C47 | #1815 | semidirect |
| 93. #131 | Dic47 | semidirect |