Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C4⋊Q8×D157 |
| Fitting | C4⋊Q8×C157 ⋊ C2 |
| Sylow | C157 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
1120 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #332×D157, #333×D157, #34098806, … |
| maximal normal subgroup of | #332×D157, #333×D157, #34098806, … |
| maximal quotient of | #384×D157, #389×D157, #391×D157, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1090);