Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C157 ⋊ #353 |
86 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=d,c^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^156,c^b=cf,d^b=def,d^c=df1105 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098281, #34098282, #34098298, … |
| maximal normal subgroup of | #34098281, #34098282, #34098298, … |
| maximal quotient of | #34098068, #34098082, #34098133, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 342);