Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#14582663 |
| Sylow | C43 ⋊ C2×#341 |
392 conjugacy classes of subgroups.
896 conjugacy classes — view the full character table.
| maximal subgroup of | #341×Dic43, C4×#14582663, #25001785, … |
| maximal normal subgroup of | #341×Dic43, C4×#14582663, #25001785, … |
| maximal quotient of | C2×#19132429, #24986055, #24986062, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 4233);