Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#19097826 |
| Sylow | C157 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
664 conjugacy classes — view the full character table.
| maximal subgroup of | #34114975, #34115012, #34115031, … |
| maximal normal subgroup of | #34114975, #34115012, #34115031, … |
| maximal quotient of | C2×#11929441⋊C8, #34115343, #34115349, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1507);