Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C79 ⋊ #1780 |
612 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,f^2=g,b^a=bd,c^a=ce,h^a=h^78,c^b=cg1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34175543, #34175545, #34175551, … |
| maximal normal subgroup of | #34175543, #34175545, #34175551, … |
| maximal quotient of | #34179617, #34179620, #34179623, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 4422);