Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C43×#366 ⋊ C2 |
| Sylow | C43 ⋊ #2158 |
152 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=e,b^2=df,c^2=g,d^2=fg,f^2=g,b^a=bd,d^a=df,f^a=fg,h^c=h^42506 conjugacy classes — view the full character table.
| maximal subgroup of | #25017028, #25017030, #25017038, … |
| maximal normal subgroup of | #25017028, #25017030, #25017038, … |
| maximal quotient of | #25008179, #25008243, #25008284, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 6291);