Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C157 ⋊ #543 |
242 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=f,c^2=f,b^a=be,c^a=cf,d^a=de,c^b=ce,g^c=g^1561582 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34099058, #34099061, #34099092, … |
| maximal normal subgroup of | #34099058, #34099061, #34099092, … |
| maximal quotient of | #34102748, #34102750, #34102864, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1175);