Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #106×C157 ⋊ C2 |
| Sylow | C157 ⋊ #428 |
118 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=e,b^2=d,d^2=f,b^a=bd,d^a=df,c^b=cf,g^c=g^1561114 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #428×D157, C2×#23757312, #34108723, … |
| maximal normal subgroup of | #428×D157, C2×#23757312, #34108723, … |
| maximal quotient of | #34098885, #34098900, #34098918, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 588);