Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #405×C79 ⋊ C2 |
| Sylow | C79 ⋊ #2968 |
372 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,c^2=f,d^2=e,f^2=g,b^a=be,h^b=h^78,d^c=dg1610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #2968×D79, C2×#23772390, #35152806, … |
| maximal normal subgroup of | #2968×D79, C2×#23772390, #35152806, … |
| maximal quotient of | #34286533, #34286541, #34286566, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13500);