Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic752 |
| Sylow | C47 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
1510 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #26104158, #26104160, #26104170, … |
| maximal normal subgroup of | #26104158, #26104160, #26104170, … |
| maximal quotient of | C2×#20241570, C2×#20241588, C4×Dic752, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6815);