Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Sylow | C79 ⋊ #1437 |
828 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,b^2=g,c^2=ef,b^a=bd,c^a=ce,h^b=h^781616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34175293, #34175295, #34179780, … |
| maximal normal subgroup of | #34175293, #34175295, #34179780, … |
| maximal quotient of | #34176188, #34176191, #34176193, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 2747);