Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#19097763 |
| Sylow | C157 ⋊ C2×#125 |
226 conjugacy classes of subgroups.
2524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098491, #34098493, C2×#23757014, … |
| maximal normal subgroup of | #34098491, #34098493, C2×#23757014, … |
| maximal quotient of | C2×#23757139, C2×#23757157, C2×#23757171, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1071);