Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×C4⋊C8×C79 ⋊ C2 |
| Sylow | C79 ⋊ #2935 |
492 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,c^2=f,f^2=g,b^a=be,d^b=dg,h^b=h^78,d^c=dg,h^c=h^781610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34182744, #34182748, #34182758, … |
| maximal normal subgroup of | #34182744, #34182748, #34182758, … |
| maximal quotient of | #34260026, #34260034, #34260045, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13253);