Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | #103×Dic43 |
| Sylow | C43 ⋊ C4×#103 |
332 conjugacy classes of subgroups.
644 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#103×D43, C2×#103×Dic43, C4×#14582894, … |
| maximal normal subgroup of | C4×#103×D43, C2×#103×Dic43, C4×#14582894, … |
| maximal quotient of | Q8⋊C8×Dic43, #24987226, #24987231, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 4332);