Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C79 ⋊ #2150 |
172 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=e,b^2=d,e^2=f,f^2=g,b^a=bd,c^a=cg,h^a=h^782552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34175133, #34175134, #34175136, … |
| maximal normal subgroup of | #34175133, #34175134, #34175136, … |
| maximal quotient of | #34199814, #34199840, #34199873, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6266);