Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19097859 |
| Sylow | C157 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
430 conjugacy classes — view the full character table.
| maximal subgroup of | #34115895, #34115913, #34115917, … |
| maximal normal subgroup of | #34115895, #34115913, #34115917, … |
| maximal quotient of | C2×#23758238, C4×#19097859, C2×#23758248, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1626);