Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C35 |
| direct product | C3×#16812524 |
| Sylow | C43 ⋊ C3×#737 |
480 conjugacy classes of subgroups.
561 conjugacy classes — view the full character table.
| maximal subgroup of | #44532437, #44532439, #44532440, … |
| maximal normal subgroup of | #44532437, #44532439, #44532440, … |
| maximal quotient of | C3×#23782779, C3×H(3,𝔽3)×C43⋊C9, C3×#23782792, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 301);