Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#15688913 |
| Sylow | C47 ⋊ C2×#352 |
278 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 278 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.
670 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#15688913, #352×Dic47, #26131420, … |
| maximal normal subgroup of | C4×#15688913, #352×Dic47, #26131420, … |
| maximal quotient of | C2×#20241318, C2×#20241336, #26125533, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6146);