Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C79 ⋊ Q8×C16 |
134 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=e,b^2=d,c^2=de,e^2=f,f^2=g,b^a=bd,h^c=h^781640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34200034, #34200038, #34200048, … |
| maximal normal subgroup of | #34200034, #34200038, #34200048, … |
| maximal quotient of | #34203610, #34203614, #34205881, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6412);