Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C59×#1854 ⋊ C2 |
| Sylow | C59 ⋊ #24139 |
1090 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
Polycyclic presentation:
2^8,59|b^2=h,c^2=h,d^2=eh,g^2=h,b^a=be,c^a=cf,d^a=de,i^a=i^58,c^b=cg,g^b=gh,i^b=i^58,d^c=dh,g^c=gh,i^c=i^58,i^d=i^581148 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 203749);