Finite Group Databasebeta

← Group #260372

Character table — Group #260372

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444442244444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-111-1-1
χ6111111111111111111111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-111-1-111-1-111
χ7111111111111111111111-1-1-1-1-1-11-1-1-111-1-111-1-11111-1-1-1-1-11-1-1-1-1111111-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-11111-1111-1-111-1-1-1-11111-1-1
χ911111111111111111-1-1-1-11111111-1-11-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1011111111111111111-1-1-1-11111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ1111111111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1
χ1211111111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111
χ1311111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1111111-1-1-1-11-1-1-1-1-11111-1-11111-1-1
χ1411111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-111111-111-1-111-1-111-1-1-1-111
χ1511111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-111111-1-1-1-1-1-111-1-111
χ1611111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-11111-11-1-111-1-11111-1-111-1-1
χ172222222222-2-222-2-2-2222222-2-2-2-2-2222-2-20000-2-200000000000000000000000000
χ182222222222-2-222-2-2-22222-2-22222-2-2-2-2-2-200002200000000000000000000000000
χ192222222222-2-222-2-2-2-2-2-2-222-2-2-2-2-2-2-222200002200000000000000000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2-22222-222-2220000-2-200000000000000000000000000
χ2122222222-2-222-2-222-2000022-2-222-200-20022220000000000-2-20000000000000000
χ2222222222-2-222-2-222-2000022-2-222-200-200-2-2-2-20000000000220000000000000000
χ2322222222-2-222-2-222-20000-2-222-2-2-20020022-2-20000000000-220000000000000000
χ2422222222-2-222-2-222-20000-2-222-2-2-200200-2-22200000000002-20000000000000000
χ2522222222-2-2-2-2-2-2-2-2200002222-2-2200-2000000000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-2200002222-2-2200-200000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-220000-2-2-2-2222002000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-220000-2-2-2-222200200000000000000000000-222-20000000000
χ29222-2-2-2-222-2222-2-2-2-22i2i−2i−2i00000020002i−2i00000000000000000000002-20000002i−2i
χ30222-2-2-2-222-2222-2-2-2-22i2i−2i−2i00000020002i−2i0000000000000000000000-22000000−2i2i
χ31222-2-2-2-222-2222-2-2-2-2−2i−2i2i2i0000002000−2i2i00000000000000000000002-2000000−2i2i
χ32222-2-2-2-222-2222-2-2-2-2−2i−2i2i2i0000002000−2i2i0000000000000000000000-220000002i−2i
χ33222-2-2-2-222-2-2-22-22222i2i−2i−2i000000-2000−2i2i00000000000000002i−2i00000000002-200
χ34222-2-2-2-222-2-2-22-22222i2i−2i−2i000000-2000−2i2i0000000000000000−2i2i0000000000-2200
χ35222-2-2-2-222-2-2-22-2222−2i−2i2i2i000000-20002i−2i00000000000000002i−2i0000000000-2200
χ36222-2-2-2-222-2-2-22-2222−2i−2i2i2i000000-20002i−2i0000000000000000−2i2i00000000002-200
χ3722-2-22-22-2-2-200220002i−2i2i−2i002-22-200000000002i−2i22−2−222−2−20000000000i2−i2i2−i20000
χ3822-2-22-22-2-2-200220002i−2i2i−2i002-22-200000000002i−2i−2−222−2−2220000000000−i2i2−i2i20000
χ3922-2-22-22-2-2-200220002i−2i2i−2i00-22-220000000000−2i2i22−2−2−2−2220000000000i2−i2−i2i20000
χ4022-2-22-22-2-2-200220002i−2i2i−2i00-22-220000000000−2i2i−2−22222−2−20000000000−i2i2i2−i20000
χ4122-2-22-22-2-2-20022000−2i2i−2i2i002-22-20000000000−2i2i22−2−222−2−20000000000−i2i2−i2i20000
χ4222-2-22-22-2-2-20022000−2i2i−2i2i002-22-20000000000−2i2i−2−222−2−2220000000000i2−i2i2−i20000
χ4322-2-22-22-2-2-20022000−2i2i−2i2i00-22-2200000000002i−2i22−2−2−2−2220000000000−i2i2i2−i20000
χ4422-2-22-22-2-2-20022000−2i2i−2i2i00-22-2200000000002i−2i−2−22222−2−20000000000i2−i2−i2i20000
χ45444-4-4-4-44-4444-44-4-440000000000-40000000000000000000000000000000000000
χ46444-4-4-4-44-44-4-4-4444-4000000000040000000000000000000000000000000000000
χ4744-44-44-4-44-400-44000000000000004-400000000000000000000000000000000000
χ4844-44-44-4-44-400-4400000000000000-4400000000000000000000000000000000000
χ4944-44-44-4-4-44004-40004-4-4400000000000000000000000000000000000000000000
χ5044-44-44-4-4-44004-4000-444-400000000000000000000000000000000000000000000
χ5144-4-44-44-44400-4-40000000004-4-4400000000000000000000000000000000000000
χ5244-4-44-44-44400-4-4000000000-444-400000000000000000000000000000000000000
χ534-4444-4-4-400000000000004-400000000000000002-22-22-22-2000000000000000000
χ544-4444-4-4-400000000000004-40000000000000000-22-22-22-22000000000000000000
χ554-4444-4-4-40000000000000-4400000000000000002-22-2-22-22000000000000000000
χ564-4444-4-4-40000000000000-440000000000000000-22-222-22-2000000000000000000
χ574-4-44-4-444004-4004-400000000000000000004-40000000000000000000000000000
χ584-4-44-4-444004-4004-40000000000000000000-440000000000000000000000000000
χ594-4-44-4-44400-4400-44000000000000000004-4000000000000000000000000000000
χ604-4-44-4-44400-4400-4400000000000000000-44000000000000000000000000000000
χ614-4-4-444-44004-400-440000000000000000000000022−22−22220000000000000000000000
χ624-4-4-444-44004-400-4400000000000000000000000−222222−220000000000000000000000
χ634-4-4-444-4400-44004-400000000000000000000000000022−22−2222000000000000000000
χ644-4-4-444-4400-44004-4000000000000000000000000000−222222−22000000000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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