Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C79 ⋊ #2973 |
456 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,f^2=g,b^a=be,c^a=cg,d^a=de,h^a=h^78,c^b=ce1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34182239, #34182242, #34182278, … |
| maximal normal subgroup of | #34182239, #34182242, #34182278, … |
| maximal quotient of | #34286947, #34286959, #34287005, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13539);