Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C43 ⋊ #1425 |
50 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=d,b^2=ce,c^2=ef,d^2=g,e^2=fg,f^2=g,b^a=bc,c^a=ce,e^a=ef,f^a=fg,h^a=h^421382 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #24984481, #24984482, #24984487, … |
| maximal normal subgroup of | #24984481, #24984482, #24984487, … |
| maximal quotient of | #24984274, #24984276, #24984300, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 2714);