Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #427×C79 ⋊ C2 |
| Sylow | C79 ⋊ #3091 |
420 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|c^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^78,h^b=h^78,f^c=fg1130 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34295643, #34295648, #34295654, … |
| maximal normal subgroup of | #34295643, #34295648, #34295654, … |
| maximal quotient of | #34288060, #34288992, #34289488, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14427);