Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #470×D47 |
| Fitting | C47×#470 ⋊ C2 |
| Sylow | C47 ⋊ C2×#470 |
492 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 135 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
400 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#1340, D47×#1342, D47×#2191, … |
| maximal normal subgroup of | D47×#1340, D47×#1342, D47×#2191, … |
| maximal quotient of | D47×#1689, D47×#1695, D47×#1703, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 14108);