Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×D8×C79 ⋊ C2 |
| Sylow | C79 ⋊ #3119 |
396 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|b^2=g,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,h^b=h^78,f^c=fg1124 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #3119×D79, C2×#23773595, #35156628, … |
| maximal normal subgroup of | #3119×D79, C2×#23773595, #35156628, … |
| maximal quotient of | #34288375, #34291356, #34291396, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14705);