Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C2×#135×C79 ⋊ C2 |
| Sylow | C79 ⋊ #3584 |
1424 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|e^2=g,f^2=g,b^a=bf,f^a=fg,f^b=fg,d^c=dg,h^d=h^781136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34203973, #34203975, #34203978, … |
| maximal normal subgroup of | #34203973, #34203975, #34203978, … |
| maximal quotient of | #35151830, #35151944, #35152383, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 19279);