Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19097769 |
| Sylow | C157 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
1588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34100526, #34100527, #34100529, … |
| maximal normal subgroup of | #34100526, #34100527, #34100529, … |
| maximal quotient of | C2×#23757142, C2×#23757168, C2×#23757178, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1091);