Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic376 |
| Sylow | C47 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
1516 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #26103730, #26103732, #26103736, … |
| maximal normal subgroup of | #26103730, #26103732, #26103736, … |
| maximal quotient of | C8×Dic376, #26128196, #26128270, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6370);