Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C35 |
| direct product | #737×C43⋊C3 |
| Fitting | C43×#737 ⋊ C3 |
| Sylow | C43 ⋊ C3×#737 |
480 conjugacy classes of subgroups.
561 conjugacy classes — view the full character table.
| maximal subgroup of | C43⋊C3×#6872, #44533446, #44533447, … |
| maximal normal subgroup of | C43⋊C3×#6872, #44533446, #44533447, … |
| maximal quotient of | C43⋊C3×#6887, C9×H(3,𝔽3)×C43⋊C3, C9×3−1+2×C43⋊C3, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 300);