Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#13093960 |
| Sylow | C47 ⋊ C4×#108 |
228 conjugacy classes of subgroups.
1528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #26103195, #26103196, #26103198, … |
| maximal normal subgroup of | #26103195, #26103196, #26103198, … |
| maximal quotient of | C4×#15688874, C4×#15688876, #26107467, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 4412);