Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#15688927 |
| Sylow | C47 ⋊ C2×#358 |
232 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 109 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
688 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#15688927, #358×Dic47, #26131497, … |
| maximal normal subgroup of | C4×#15688927, #358×Dic47, #26131497, … |
| maximal quotient of | C2×#20241352, #26126257, #26126309, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6212);