Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C157 ⋊ #533 |
222 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,g^c=g^1561588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34101078, #34101111, #34101115, … |
| maximal normal subgroup of | #34101078, #34101111, #34101115, … |
| maximal quotient of | #34102539, #34102608, #34102618, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1102);