Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C79 ⋊ #2962 |
356 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,b^2=e,c^2=ef,f^2=g,b^a=be,h^b=h^78,d^c=dg,h^c=h^781142 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34310331, #34310333, #34310342, … |
| maximal normal subgroup of | #34310331, #34310333, #34310342, … |
| maximal quotient of | #34286250, #34286256, #34286266, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13456);