Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #41×#10597845 |
| Fitting | #41×C157 ⋊ C4 |
| Sylow | C157 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
430 conjugacy classes — view the full character table.
| maximal subgroup of | #104×#10597845, #34115901, #34116173, … |
| maximal normal subgroup of | #104×#10597845, #34115901, #34116173, … |
| maximal quotient of | #117×#10597845, C4×D4×#10597845, C4×Q8×#10597845, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1615);