Finite Group Databasebeta

← Group #302131

Character table — Group #302131

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444224444888888884444444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111-1-1-1-111111111111-11-11-1-11-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11111111111-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-11-1-11-1-11111-1-1-1-11111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111
χ9111111111111-1-1-1-111111111-1-11111-1-1-1-11-11-1-11-1-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11-111-11-1-111-1-11111-1-1
χ11111111111111-1-1-1-111111111-1-1-1-1-1-111111-11-1-11-1-11-1-1-111-1-111-1-111
χ12111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-111-1111-1-111-1-1-1-111
χ13111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11-1-11111-1-1-1-111
χ14111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-1111-111-111-1-1-1-111-1-111
χ15111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1111-1-1-1-11111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1111-111-1-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-222-2-22-2000000000-202000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2222-200000000020-2000000000000000000
χ19222222222222-2-222-2-2-2-222-2-2-2200000000020-2000000000000000000
χ20222222222222-2-222-2-2-2-2-2-222-22000000000-202000000000000000000
χ2122222222-2-2-2-2222222-2-20000-2-20000000000000220-2-2000000000000
χ2222222222-2-2-2-2222222-2-20000-2-20000000000000-2-2022000000000000
χ2322222222-2-2-2-222-2-2-2-2220000-220000000020-20-200200000000000000
χ2422222222-2-2-2-222-2-2-2-2220000-2200000000-2020200-200000000000000
χ2522222222-2-2-2-2-2-222-2-22200002-20000000020-20200-200000000000000
χ2622222222-2-2-2-2-2-222-2-22200002-200000000-2020-200200000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-200002200000000000002-20-22000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-20000220000000000000-2202-2000000000000
χ292222-2-2-2-222-2-200002-22-22-22-200000022-2-2000000000000000000002-2
χ302222-2-2-2-222-2-200002-22-22-22-2000000-2-22200000000000000000000-22
χ312222-2-2-2-222-2-200002-22-2-22-2200000022-2-200000000000000000000-22
χ322222-2-2-2-222-2-200002-22-2-22-22000000-2-222000000000000000000002-2
χ332222-2-2-2-222-2-20000-22-222-2-220022-2-200000000000000000000002-200
χ342222-2-2-2-222-2-20000-22-222-2-2200-2-2220000000000000000000000-2200
χ352222-2-2-2-222-2-20000-22-22-222-20022-2-20000000000000000000000-2200
χ362222-2-2-2-222-2-20000-22-22-222-200-2-22200000000000000000000002-200
χ374444-4-4-4-4-4-44400004-4-44000000000000000000000000000000000000
χ384444-4-4-4-4-4-4440000-444-4000000000000000000000000000000000000
χ3944-4-444-4-44-44-400000000000000000022−2222−220000000000000000000000
χ4044-4-444-4-44-44-4000000000000000000−2222−22220000000000000000000000
χ4144-4-444-4-4-44-440000000000000022−2222−2200000000000000000000000000
χ4244-4-444-4-4-44-4400000000000000−2222−222200000000000000000000000000
χ4344-4-4-4-4444-4-4400000000000000000022−22−22220000000000000000000000
χ4444-4-4-4-4444-4-44000000000000000000−222222−220000000000000000000000
χ4544-4-4-4-444-444-40000000000000022−22−222200000000000000000000000000
χ4644-4-4-4-444-444-400000000000000−222222−2200000000000000000000000000
χ474-44-4-444-400004-400000000000000000000000000000000002i−2i2i−2i0000
χ484-44-4-444-400004-40000000000000000000000000000000000−2i2i−2i2i0000
χ494-44-4-444-40000-4400000000000000000000000000000000002i−2i−2i2i0000
χ504-44-4-444-40000-440000000000000000000000000000000000−2i2i2i−2i0000
χ514-4-44-44-440000004-400000000000000000000000000002-22-200000000
χ524-4-44-44-440000004-40000000000000000000000000000-22-2200000000
χ534-4-44-44-44000000-4400000000000000000000000000002-2-2200000000
χ544-4-44-44-44000000-440000000000000000000000000000-222-200000000
χ558-88-88-8-88000000000000000000000000000000000000000000000000
χ568-8-888-88-8000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).