Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C79 ⋊ #1742 |
388 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=e,b^2=f,c^2=g,e^2=g,b^a=bd,d^a=dg,e^b=eg,h^b=h^781604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34193481, #34193482, #34193620, … |
| maximal normal subgroup of | #34193481, #34193482, #34193620, … |
| maximal quotient of | #34177859, #34177862, #34177871, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 4248);