Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C59×#1312 ⋊ C2 |
| Sylow | C59 ⋊ C16×M16 |
306 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
Polycyclic presentation:
2^8,59|a^2=d,b^2=e,d^2=f,e^2=g,g^2=h,c^a=cf,i^b=i^58,i^c=i^582480 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 78581);