Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C79 ⋊ #1526 |
226 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=e,b^2=f,c^2=g,d^2=g,e^2=f,b^a=bd,d^a=df,h^a=h^78,d^b=dg,e^b=efg1130 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179277, #34179280, #34179287, … |
| maximal normal subgroup of | #34179277, #34179280, #34179287, … |
| maximal quotient of | #34176224, #34176247, #34176516, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 3105);