Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C79 ⋊ #1422 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=d,b^2=c,c^2=g,d^2=e,e^2=f,f^2=g,b^a=bc,c^a=cg,h^b=h^781616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1422×D79, C2×#23761597, #34208760, … |
| maximal normal subgroup of | #1422×D79, C2×#23761597, #34208760, … |
| maximal quotient of | #34175934, #34175941, #34175959, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 2707);