Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C79 ⋊ #2401 |
432 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=fg,b^2=f,d^2=e,b^a=be,c^a=cf,c^b=cg,h^b=h^781604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34296524, #34296529, #34296531, … |
| maximal normal subgroup of | #34296524, #34296529, #34296531, … |
| maximal quotient of | #34209966, #34209970, #34209972, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7810);