Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#15689503 |
| Sylow | C47 ⋊ C2×#494 |
552 conjugacy classes of subgroups.
1516 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #26111583, #26115517, #26115519, … |
| maximal normal subgroup of | #26111583, #26115517, #26115519, … |
| maximal quotient of | C2×#20242985, C2×#20242998, C2×#20243006, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 14926);