Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19097771 |
| Sylow | C157 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
2524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#23757018, C2×#23757020, C2×#23757021, … |
| maximal normal subgroup of | C2×#23757018, C2×#23757020, C2×#23757021, … |
| maximal quotient of | C2×#23757143, C2×#23757171, C2×#23757179, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1093);