Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic157 |
| Sylow | C157 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1120 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34101985, SD32×Dic157, #34101992, … |
| maximal normal subgroup of | #34101985, SD32×Dic157, #34101992, … |
| maximal quotient of | Q16×#11929434, #34098987, #34099033, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 644);