Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #520×C79 ⋊ C2 |
| Sylow | C79 ⋊ #3046 |
472 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=g,b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^78,d^b=dg,f^c=fg1358 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34326334, #34326339, #34326349, … |
| maximal normal subgroup of | #34326334, #34326339, #34326349, … |
| maximal quotient of | #34273735, #34273746, #34273757, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14060);