Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C157 ⋊ #519 |
266 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=f,b^2=e,c^2=e,b^a=be,d^a=de,c^b=ce,g^c=g^1561594 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34100249, #34100349, #34100352, … |
| maximal normal subgroup of | #34100249, #34100349, #34100352, … |
| maximal quotient of | #34102491, #34102492, #34102499, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1026);