Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #344×D43 |
| Fitting | C43×#344 ⋊ C2 |
| Sylow | C43 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
506 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#344×D43, #25094052, D43×#1757, … |
| maximal normal subgroup of | C2×#344×D43, #25094052, D43×#1757, … |
| maximal quotient of | D43×#1281, #24986226, #24986229, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 4250);