Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#14583013 |
| Fitting | C2×#104×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
644 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#14583013, #25095148, #25095155, … |
| maximal normal subgroup of | C4×#14583013, #25095148, #25095155, … |
| maximal quotient of | C2×#19133387, C2×#19133392, C2×#19133398, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13397);