Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C43×#467 ⋊ C2 |
| Sylow | C43 ⋊ #3063 |
472 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=g,b^2=e,e^2=g,b^a=be,c^a=cf,e^a=eg,d^b=dg,h^b=h^42,d^c=dg,h^c=h^42,h^d=h^42494 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#3063, C2×#19144285, #25963849, … |
| maximal normal subgroup of | D43×#3063, C2×#19144285, #25963849, … |
| maximal quotient of | #25080091, #25080113, #25080135, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 14200);