Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C43 ⋊ #1377 |
140 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=d,b^2=e,d^2=f,f^2=g,b^a=bc,c^a=cg,h^a=h^42,d^b=dg884 conjugacy classes — view the full character table.
| maximal subgroup of | #24983346, #24983347, #24983358, … |
| maximal normal subgroup of | #24983346, #24983347, #24983358, … |
| maximal quotient of | #24983431, #24983441, #24983448, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 2594);