Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#14582873 |
| Sylow | C43 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #25001924, #25001925, #25001929, … |
| maximal normal subgroup of | #25001924, #25001925, #25001929, … |
| maximal quotient of | C2×#19132909, C2×#19132916, C2×#19132919, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 12967);