Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C157 ⋊ #349 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=d,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^156,d^b=df1582 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098071, #34098072, #34098073, … |
| maximal normal subgroup of | #34098071, #34098072, #34098073, … |
| maximal quotient of | #34098060, #34098076, #34098094, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 331);