Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #416×C79 ⋊ C2 |
| Sylow | C79 ⋊ #3035 |
496 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^b=h^78,f^c=fg,h^c=h^781130 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34294711, #34294712, #34294722, … |
| maximal normal subgroup of | #34294711, #34294712, #34294722, … |
| maximal quotient of | #34270689, #34270697, #34270704, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13963);