Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#108×D43 |
| Fitting | C2×#108×C43 ⋊ C2 |
| Sylow | C43 ⋊ C22×#108 |
480 conjugacy classes of subgroups.
644 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#1381, #25011485, D43×#1382, … |
| maximal normal subgroup of | D43×#1381, #25011485, D43×#1382, … |
| maximal quotient of | C2×#334×D43, C2×#335×D43, D43×#1564, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13111);