Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #358×D47 |
| Fitting | C47×#358 ⋊ C2 |
| Sylow | C47 ⋊ C2×#358 |
232 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 77 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 | C2×#358×D47, D47×#2138, D47×#2141, … |
| maximal normal subgroup of | C2×#358×D47, D47×#2138, D47×#2141, … |
| maximal quotient of | D47×#1332, #26126255, #26126307, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6210);