Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C79 ⋊ #1372 |
70 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=d,b^2=ceg,c^2=eg,d^2=f,e^2=g,b^a=bc,c^a=ce,e^a=eg,h^b=h^781136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1372×D79, C2×#23761473, #34199851, … |
| maximal normal subgroup of | #1372×D79, C2×#23761473, #34199851, … |
| maximal quotient of | #34175010, #34175138, #34175951, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 2583);