Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#14582957 |
| Sylow | C43 ⋊ C2×#433 |
412 conjugacy classes of subgroups.
896 conjugacy classes — view the full character table.
| maximal subgroup of | #25005800, C4×#14582957, #25094745, … |
| maximal normal subgroup of | #25005800, C4×#14582957, #25094745, … |
| maximal quotient of | C2×#19134345, C2×#19134363, C2×#19134451, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13133);