Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×C4×#11929441 |
| derived, Sylow | C157 ⋊ C2×C4×C8 |
162 conjugacy classes of subgroups.
688 conjugacy classes — view the full character table.
| maximal subgroup of | #34114958, #34114969, #34114972, … |
| maximal normal subgroup of | #34114958, #34114969, #34114972, … |
| maximal quotient of | C2×C8×#11929441, C2×#23758114, M16×#11929441, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1504);