Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C79 ⋊ #1400 |
74 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=d,d^2=e,e^2=f,f^2=g,b^a=bc,c^a=cg,h^a=h^78,d^b=dg1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34175611, #34175612, #34175613, … |
| maximal normal subgroup of | #34175611, #34175612, #34175613, … |
| maximal quotient of | #34175608, #34175668, #34175710, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 2650);