Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#15689158 |
| Fitting | C2×#106×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#427 |
512 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 229 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
700 conjugacy classes — view the full character table.
| maximal subgroup of | #26131181, #26131195, #26132838, … |
| maximal normal subgroup of | #26131181, #26131195, #26132838, … |
| maximal quotient of | C2×#20242133, C2×#20242148, #26185286, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13087);