Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4×C8×C157 ⋊ C2 |
| Sylow | C157 ⋊ #492 |
142 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|b^2=d,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^1562518 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098176, #34099210, #34099211, … |
| maximal normal subgroup of | #34098176, #34099210, #34099211, … |
| maximal quotient of | #34099723, #34099728, #34099733, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 922);