Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #435×C79 ⋊ C2 |
| Sylow | C79 ⋊ #2980 |
394 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,f^2=g,b^a=be,c^a=cg,d^a=de,c^b=ce,d^b=dg,d^c=dg,h^d=h^781130 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #2980×D79, C2×#23772468, #35153072, … |
| maximal normal subgroup of | #2980×D79, C2×#23772468, #35153072, … |
| maximal quotient of | #34286991, #34286995, #34287030, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13578);