Finite Group DatabasebetaFinite Group Databasebeta| order | 10144 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19099584 |
| Sylow | C317 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
652 conjugacy classes — view the full character table.
| maximal subgroup of | #35204093, #35204099, #35204106, … |
| maximal normal subgroup of | #35204093, #35204099, #35204106, … |
| maximal quotient of | C2×#23778835, C4×#19099584, C2×#23778837, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10144, 232);