Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×(C22⋊D47)⋊C8 |
| Fitting | C2×C22⋊C8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
1000 conjugacy classes — view the full character table.
| maximal subgroup of | #26106818, #26106823, #26109171, … |
| maximal normal subgroup of | #26106818, #26106823, #26109171, … |
| maximal quotient of | C2×#20242180, C2×#20242185, C2×#20242191, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13180);