Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #427×C79 ⋊ C2 |
| Sylow | C79 ⋊ #3076 |
388 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=e,b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^b=h^78,f^c=fg,h^c=h^781130 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34296097, #34296098, #34296108, … |
| maximal normal subgroup of | #34296097, #34296098, #34296108, … |
| maximal quotient of | #34287741, #34289211, #34289218, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14296);