Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C79 ⋊ #3165 |
380 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=e,b^2=e,c^2=f,f^2=g,b^a=be,c^a=cf,f^a=fg,h^b=h^78,d^c=dg890 conjugacy classes — view the full character table.
| maximal subgroup of | #34340374, #34340376, #34340378, … |
| maximal normal subgroup of | #34340374, #34340376, #34340378, … |
| maximal quotient of | #34288694, #34291655, #34291657, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 15054);