Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | #450×D47 |
| Fitting | C47×#450 ⋊ C2 |
| Sylow | C47 ⋊ C2×#450 |
996 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 996 conjugacy classes of subgroups — too many to draw. Only its 155 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
475 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#1596, D47×#1597, D47×#1599, … |
| maximal normal subgroup of | D47×#1596, D47×#1597, D47×#1599, … |
| maximal quotient of | D47×#1601, D47×#1613, D47×#1604, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13689);