Finite Group Databasebeta

← Group #310475

Character table — Group #310475

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-111111111111111-1-1-11-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11
χ51111111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-111-1
χ91111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111111111-1
χ111111111111111111-1-1-1-1111111-1-11111-1-111111111-1-1-1-11111-1-11-1-1-1-1-11111-1-1-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111111-1111-1-1-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11-11111-1-11111-1
χ17222222222-22-2-222-22222-2-20000220000-2-2000022-2-200000000000-200000000000
χ18222222222-22-2-222-22222-2-20000-2-20000-2-20000-2-22200000000000200000000000
χ19222222222-22-2-222-2-2-2-2-2-2-20000220000220000-2-22200000000000-200000000000
χ20222222222-22-2-222-2-2-2-2-2-2-20000-2-2000022000022-2-200000000000200000000000
χ2122222222-22-222-2-220000-2-2222200222200-2-2-2-200000000000000-2000000000000
χ2222222222-22-222-2-220000-2-2222200-2-2-2-20022-2-2000000000000002000000000000
χ2322222222-22-222-2-220000-2-2-2-2-2-20022-2-200-2-222000000000000002000000000000
χ2422222222-22-222-2-220000-2-2-2-2-2-200-2-22200222200000000000000-2000000000000
χ25222-2-2-22-220-200-2202i2i−2i−2i00i2i2−i2−i22-200000000i2−i22i−2i0022−2−222−2−2000000000000i2−i20
χ26222-2-2-22-220-200-2202i2i−2i−2i00i2i2−i2−i2-2200000000i2−i2−2i2i0022−2−2−2−222000000000000−i2i20
χ27222-2-2-22-220-200-2202i2i−2i−2i00−i2−i2i2i22-200000000−i2i22i−2i00−2−222−2−222000000000000−i2i20
χ28222-2-2-22-220-200-2202i2i−2i−2i00−i2−i2i2i2-2200000000−i2i2−2i2i00−2−22222−2−2000000000000i2−i20
χ29222-2-2-22-220-200-220−2i−2i2i2i00i2i2−i2−i22-200000000i2−i2−2i2i00−2−222−2−222000000000000i2−i20
χ30222-2-2-22-220-200-220−2i−2i2i2i00i2i2−i2−i2-2200000000i2−i22i−2i00−2−22222−2−2000000000000−i2i20
χ31222-2-2-22-220-200-220−2i−2i2i2i00−i2−i2i2i22-200000000−i2i2−2i2i0022−2−222−2−2000000000000−i2i20
χ32222-2-2-22-220-200-220−2i−2i2i2i00−i2−i2i2i2-2200000000−i2i22i−2i0022−2−2−2−222000000000000i2−i20
χ3322-2-22-2-2222-2-2-22-222i−2i2i−2i2-200000000002i−2i000000000000000000002i−2i002-200000
χ3422-2-22-2-2222-2-2-22-222i−2i2i−2i2-200000000002i−2i00000000000000000000−2i2i00-2200000
χ3522-2-22-2-2222-2-2-22-22−2i2i−2i2i2-20000000000−2i2i000000000000000000002i−2i00-2200000
χ3622-2-22-2-2222-2-2-22-22−2i2i−2i2i2-20000000000−2i2i00000000000000000000−2i2i002-200000
χ3722-2-22-2-222-2-2222-2-22i−2i2i−2i-220000002i−2i00−2i2i2i−2i000000000000000000002-20000000
χ3822-2-22-2-222-2-2222-2-22i−2i2i−2i-22000000−2i2i00−2i2i−2i2i00000000000000000000-220000000
χ3922-2-22-2-222-2-2222-2-2−2i2i−2i2i-220000002i−2i002i−2i2i−2i00000000000000000000-220000000
χ4022-2-22-2-222-2-2222-2-2−2i2i−2i2i-22000000−2i2i002i−2i−2i2i000000000000000000002-20000000
χ4122-2-22-2-22-2-2222-22-200002-20000002i−2i0000−2i2i0000002i−2i2i−2i00002-20000000000000
χ4222-2-22-2-22-2-2222-22-200002-20000002i−2i0000−2i2i000000−2i2i−2i2i0000-220000000000000
χ4322-2-22-2-22-2-2222-22-200002-2000000−2i2i00002i−2i0000002i−2i2i−2i0000-220000000000000
χ4422-2-22-2-22-2-2222-22-200002-2000000−2i2i00002i−2i000000−2i2i−2i2i00002-20000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-4-404004-400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ47444-4-4-44-4-404004-40000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ4844-44-44-4-440400-4-404-4-44000000000000000000000000000000000000000000000
χ4944-44-44-4-440400-4-40-444-4000000000000000000000000000000000000000000000
χ5044-44-44-4-4-40-400440000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5144-44-44-4-4-40-40044000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5244-4-44-4-44-444-4-4-4440000-440000000000000000000000000000000000000000000
χ534-4444-4-4-40404-400-40000000000000000000000000000000000000000000022−22000
χ544-4444-4-4-40404-400-400000000000000000000000000000000000000000000−2222000
χ554-4444-4-4-40-40-44004000000000000004i−4i000000000000000000000000000000000
χ564-4444-4-4-40-40-4400400000000000000−4i4i000000000000000000000000000000000
χ574-4-44-4-4440000000000000022−2222−220000000000000022−2200002-22-2000000000000000
χ584-4-44-4-4440000000000000022−2222−2200000000000000−22220000-22-22000000000000000
χ594-4-44-4-44400000000000000−2222−22220000000000000022−220000-22-22000000000000000
χ604-4-44-4-44400000000000000−2222−222200000000000000−222200002-22-2000000000000000
χ614-4-4-4444-4040-4400-40000004i−4i−4i4i000000000000000000000000000000000000000
χ624-4-4-4444-4040-4400-4000000−4i4i4i−4i000000000000000000000000000000000000000
χ634-4-4-4444-40-404-400400000000000000000000000000000022−22−2222000000000000000
χ644-4-4-4444-40-404-4004000000000000000000000000000000−222222−22000000000000000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

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