Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C157 ⋊ #405 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=d,b^2=e,d^2=f,g^a=g^129,c^b=cf,g^c=g^156,g^d=g^156430 conjugacy classes — view the full character table.
| maximal subgroup of | #34115911, #34115913, #34115915, … |
| maximal normal subgroup of | #34115911, #34115913, #34115915, … |
| maximal quotient of | #34115338, #34115342, #34115348, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1514);