Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C79 ⋊ #3248 |
354 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=g,b^2=g,d^2=e,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,h^a=h^78,c^b=ce,f^c=fg1124 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34265467, #34265473, #34265482, … |
| maximal normal subgroup of | #34265467, #34265473, #34265482, … |
| maximal quotient of | #34298174, #34298184, #34298658, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 15847);