Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #108×C157 ⋊ C2 |
| Sylow | C157 ⋊ #444 |
104 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=e,c^2=e,d^2=f,e^2=f,b^a=bd,c^a=cf,d^a=df,d^b=df,g^b=g^156,g^c=g^1561114 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34102026, #34102030, #34102033, … |
| maximal normal subgroup of | #34102026, #34102030, #34102033, … |
| maximal quotient of | #34098947, #34098954, #34098959, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 670);