Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#14582871 |
| Fitting | C2×#99×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
506 conjugacy classes — view the full character table.
| maximal subgroup of | #25011538, #25011546, #25011565, … |
| maximal normal subgroup of | #25011538, #25011546, #25011565, … |
| maximal quotient of | C2×#19132906, C2×#19132908, C2×#19132914, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 12965);