Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19097714 |
| Fitting | C2×Q16×C157 ⋊ C2 |
| Sylow | C157 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
1114 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34101985, C4×#19097714, #34101998, … |
| maximal normal subgroup of | #34101985, C4×#19097714, #34101998, … |
| maximal quotient of | C2×#23757073, C2×#23757077, C2×#23757100, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 972);