Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | #482×D43 |
| Fitting | C43×#482 ⋊ C2 |
| Sylow | C43 ⋊ C2×#482 |
468 conjugacy classes of subgroups.
437 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#482×D43, D43×#3091, D43×#3093, … |
| maximal normal subgroup of | C2×#482×D43, D43×#3091, D43×#3093, … |
| maximal quotient of | D43×#1825, D43×#1854, D43×#1875, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 14390);