Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Fitting | C42×C157 ⋊ C4 |
| Sylow | C157 ⋊ #376 |
178 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=e,b^2=f,c^2=d,b^a=bd,g^a=g^129,g^e=g^156664 conjugacy classes — view the full character table.
| maximal subgroup of | #34114959, #34115023, #34115025, … |
| maximal normal subgroup of | #34114959, #34115023, #34115025, … |
| maximal quotient of | C4×(C2×#10597845)⋊C4, #34115311, #34115312, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1485);