Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | #323×D47 |
| Fitting | C47×#323 ⋊ C2 |
| Sylow | C47 ⋊ C2×#323 |
456 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 87 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
550 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#1316, D47×#1317, #26125365, … |
| maximal normal subgroup of | D47×#1316, D47×#1317, #26125365, … |
| maximal quotient of | D47×#1270, D47×#1272, #26104227, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 2815);