Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #436×C79 ⋊ C2 |
| Sylow | C79 ⋊ #2969 |
370 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,c^2=f,d^2=e,f^2=g,b^a=be,h^a=h^78,c^b=cg,h^b=h^78,d^c=dg,h^c=h^78,h^d=h^781142 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34259182, #34259186, #34259219, … |
| maximal normal subgroup of | #34259182, #34259186, #34259219, … |
| maximal quotient of | #34286540, #34286571, #34286664, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13517);