Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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×#13093968 | C2 | semidirect |
| 2. #15689506 | C2 | semidirect |
| 3. D8×Dic47 | C2 | semidirect |
| 4. Dic47⋊C16 | C2 | semidirect |
| 5. #15688928 | C2 | semidirect |
| 6. #15688924 | C2 | semidirect |
| 84. C47 | #2210 | semidirect |