Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C43 ⋊ #1400 |
74 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=d,d^2=e,e^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 | #24983939, #24983940, #24983941, … |
| maximal normal subgroup of | #24983939, #24983940, #24983941, … |
| maximal quotient of | #24983936, #24983996, #24984038, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 2650);