Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C79 ⋊ #1818 |
292 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,c^2=d,f^2=g,b^a=bd,c^a=ce,h^a=h^78,c^b=cg1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34175589, #34175593, #34180448, … |
| maximal normal subgroup of | #34175589, #34175593, #34180448, … |
| maximal quotient of | #34181604, #34181607, #34181610, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 4581);