Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#100×D47 |
| Fitting | C2×#100×C47 ⋊ C2 |
| Sylow | C47 ⋊ C22×#100 |
992 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 992 conjugacy classes of subgroups — too many to draw. Only its 221 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×#1390, #26131223, #26133754, … |
| maximal normal subgroup of | D47×#1390, #26131223, #26133754, … |
| maximal quotient of | C2×#323×D47, D47×#1460, C2×#20241707, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 12975);