Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C157 ⋊ #424 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=e,b^2=d,e^2=f,b^a=bd,g^a=g^156,c^b=cf1588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34100412, #34100413, #34100423, … |
| maximal normal subgroup of | #34100412, #34100413, #34100423, … |
| maximal quotient of | #34098907, #34098911, #34098916, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 576);