Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C79 ⋊ #2151 |
160 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=e,b^2=d,e^2=f,f^2=g,b^a=bd,h^a=h^78,c^b=cg1616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34175363, #34175365, #34204403, … |
| maximal normal subgroup of | #34175363, #34175365, #34204403, … |
| maximal quotient of | #34199817, #34199843, #34199877, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6269);