Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×#15688852 |
| Fitting | C2×C4×C8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×D4⋊C8 |
344 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 344 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.
1528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #26106869, C4×#15688852, #26106879, … |
| maximal normal subgroup of | #26106869, C4×#15688852, #26106879, … |
| maximal quotient of | C2×#20241208, C2×#20241210, #26104215, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 2884);