Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19097760 |
| Fitting | C22×Q8×C157 ⋊ C2 |
| Sylow | C157 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
1588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34100521, #34100537, #34100539, … |
| maximal normal subgroup of | #34100521, #34100537, #34100539, … |
| maximal quotient of | C2×#23757138, C2×#23757163, C2×#23757174, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1067);