Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#14583019 |
| Fitting | C2×#131×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#444 |
464 conjugacy classes of subgroups.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #25013503, #25013504, #25013506, … |
| maximal normal subgroup of | #25013503, #25013504, #25013506, … |
| maximal quotient of | C2×#19133405, C2×#19133407, C2×#19133412, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13404);