Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | #427×D43 |
| Fitting | C43×#427 ⋊ C2 |
| Sylow | C43 ⋊ C2×#427 |
512 conjugacy classes of subgroups.
644 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#1382, #25011492, D43×#1384, … |
| maximal normal subgroup of | D43×#1382, #25011492, D43×#1384, … |
| maximal quotient of | D43×#1564, D43×#1568, #25065606, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13086);