Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#15689926 |
| Fitting | C2×H(5,𝔽2)×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#576 |
1512 conjugacy classes of subgroups.
826 conjugacy classes — view the full character table.
| maximal subgroup of | #26232177, #26232180, #26232204, … |
| maximal normal subgroup of | #26232177, #26232180, #26232204, … |
| maximal quotient of | C2×#20251911, C2×#20251914, C2×#20251986, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 19261);