Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C43×#417 ⋊ C2 |
| Sylow | C43 ⋊ #3007 |
754 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=g,d^2=g,e^2=g,b^a=be,c^a=cf,d^a=dg,e^a=eg,h^a=h^42,e^b=eg,h^c=h^42494 conjugacy classes — view the full character table.
| maximal subgroup of | #25133870, #25133874, #25133881, … |
| maximal normal subgroup of | #25133870, #25133874, #25133881, … |
| maximal quotient of | #25069001, #25069040, #25069079, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13771);