Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #416×C79 ⋊ C2 |
| Sylow | C79 ⋊ C4×#135 |
500 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,c^2=f,d^2=g,e^2=g,b^a=be,e^a=eg,e^b=eg,h^c=h^781148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34286820, #34286839, #34286858, … |
| maximal normal subgroup of | #34286820, #34286839, #34286858, … |
| maximal quotient of | #34257643, #34257794, #34257803, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13278);