Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#104×D43 |
| Fitting | C2×#104×C43 ⋊ C2 |
| Sylow | C43 ⋊ C22×#104 |
856 conjugacy classes of subgroups.
644 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#104×D43, D43×#1759, #25094324, … |
| maximal normal subgroup of | C4×#104×D43, D43×#1759, #25094324, … |
| maximal quotient of | C2×D4⋊C8×D43, C2×Q8⋊C8×D43, D43×#1476, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13045);