Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | #410×D43 |
| Fitting | C43×#410 ⋊ C2 |
| Sylow | C43 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
506 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#1391, #25011553, D43×#1395, … |
| maximal normal subgroup of | D43×#1391, #25011553, D43×#1395, … |
| maximal quotient of | D43×#1458, D43×#1460, D43×#1461, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 12964);