Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19097778 |
| Sylow | C157 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
1600 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34099938, #34099939, #34099974, … |
| maximal normal subgroup of | #34099938, #34099939, #34099974, … |
| maximal quotient of | C2×#23757229, C4×#19097778, C2×#23757240, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1312);