Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C4 |
No aliases for this group.
| Fitting | C2×C4×C22⋊C4×C59 ⋊ C2 |
| Sylow | C59 ⋊ #14019 |
2538 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
Polycyclic presentation:
2^8,59|a^2=h,b^2=fh,c^2=g,b^a=be,c^a=cf,d^a=de,c^b=cg,i^c=i^582396 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 92970);