Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊#11929441 |
| Sylow | C157 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
664 conjugacy classes — view the full character table.
| maximal subgroup of | #34114966, #34114972, #34114982, … |
| maximal normal subgroup of | #34114966, #34114972, #34114982, … |
| maximal quotient of | C2×#23758134, C2×#23758136, #34115683, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1549);