Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C157 ⋊ #520 |
294 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=f,d^2=e,b^a=be,d^a=de,g^a=g^156,c^b=ce1594 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34100360, #34100364, #34100367, … |
| maximal normal subgroup of | #34100360, #34100364, #34100367, … |
| maximal quotient of | #34102492, #34102497, #34102501, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1032);