Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | #102×Dic47 |
| Sylow | C47 ⋊ C4×#102 |
396 conjugacy classes of subgroups.
700 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#102×D47, C2×#102×Dic47, C4×#15689116, … |
| maximal normal subgroup of | C4×#102×D47, C2×#102×Dic47, C4×#15689116, … |
| maximal quotient of | D4⋊C8×Dic47, #26106902, #26106917, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 4327);