Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C157 ⋊ #544 |
206 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=f,b^2=e,c^2=f,b^a=be,c^a=cf,d^a=de,g^a=g^156,c^b=ce1582 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34099075, #34099078, #34099109, … |
| maximal normal subgroup of | #34099075, #34099078, #34099109, … |
| maximal quotient of | #34102754, #34102760, #34102869, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1180);