Finite Group Databasebeta

← Group #270203

Character table — Group #270203

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444442222448888224444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-111111111111111-1-11-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-11111-1-11
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-1-1-11111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111
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
χ101111111111111111-1-1-1-111111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1
χ111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1111-1-111-1-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111111-1-111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111111111111-1-1-111-1-1-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111
χ17222222222-2-22-222-22222-2-20000002200-2-2000022-2-20000000000-2000000000000
χ18222222222-2-22-222-22222-2-2000000-2-200-2-20000-2-22200000000002000000000000
χ19222222222-2-22-222-2-2-2-2-2-2-20000002200220000-2-2220000000000-2000000000000
χ20222222222-2-22-222-2-2-2-2-2-2-2000000-2-20022000022-2-200000000002000000000000
χ2122222222-222-22-2-220000-2-222222200-2-20022-2-200000000000000000-2000000000
χ2222222222-222-22-2-220000-2-22222-2-2002200-2-2-2-2000000000000000002000000000
χ2322222222-222-22-2-220000-2-2-2-2-2-222002200-2-22200000000000000000-2000000000
χ2422222222-222-22-2-220000-2-2-2-2-2-2-2-200-2-2002222000000000000000002000000000
χ25222-2-2-22-2-200202-2022-2-200i2i2−i2−i2002-2000000i2−i22-200i2i2−i2−i2i2i2−i2−i2000000000000i2−i20
χ26222-2-2-22-2-200202-2022-2-200i2i2−i2−i200-22000000i2−i2-2200i2i2−i2−i2−i2−i2i2i2000000000000−i2i20
χ27222-2-2-22-2-200202-2022-2-200−i2−i2i2i2002-2000000−i2i22-200−i2−i2i2i2−i2−i2i2i2000000000000−i2i20
χ28222-2-2-22-2-200202-2022-2-200−i2−i2i2i200-22000000−i2i2-2200−i2−i2i2i2i2i2−i2−i2000000000000i2−i20
χ29222-2-2-22-2-200202-20-2-22200i2i2−i2−i2002-2000000i2−i2-2200−i2−i2i2i2−i2−i2i2i2000000000000i2−i20
χ30222-2-2-22-2-200202-20-2-22200i2i2−i2−i200-22000000i2−i22-200−i2−i2i2i2i2i2−i2−i2000000000000−i2i20
χ31222-2-2-22-2-200202-20-2-22200−i2−i2i2i2002-2000000−i2i2-2200i2i2−i2−i2i2i2−i2−i2000000000000−i2i20
χ32222-2-2-22-2-200202-20-2-22200−i2−i2i2i200-22000000−i2i22-200i2i2−i2−i2−i2−i2i2i2000000000000i2−i20
χ332-2-2-22-222222-2-22-2-22-22-22-200000000002-200000000000000000002i−2i000002i−2i000
χ342-2-2-22-222222-2-22-2-22-22-22-200000000002-20000000000000000000−2i2i00000−2i2i000
χ352-2-2-22-222222-2-22-2-2-22-222-20000000000-2200000000000000000002i−2i00000−2i2i000
χ362-2-2-22-222222-2-22-2-2-22-222-20000000000-220000000000000000000−2i2i000002i−2i000
χ372-2-2-22-2222-2-2-222-222-22-2-22000000002-2-222-2000000000000000000002-20000000
χ382-2-2-22-2222-2-2-222-222-22-2-2200000000-22-22-2200000000000000000000-220000000
χ392-2-2-22-2222-2-2-222-22-22-22-22000000002-22-22-200000000000000000000-220000000
χ402-2-2-22-2222-2-2-222-22-22-22-2200000000-222-2-22000000000000000000002-20000000
χ412-2-2-22-222-2-2-222-22200002-2000000002-200-220000002-22-200002-20000000000000
χ422-2-2-22-222-2-2-222-22200002-2000000002-200-22000000-22-220000-220000000000000
χ432-2-2-22-222-2-2-222-22200002-200000000-22002-20000002-22-20000-220000000000000
χ442-2-2-22-222-2-2-222-22200002-200000000-22002-2000000-22-2200002-20000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-4400-40-4400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ47444-4-4-44-4400-40-440000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ4844-4-4-44-4404-40400-40000000000000000000000000000000000000000002i2−2i200000
χ4944-4-4-44-4404-40400-4000000000000000000000000000000000000000000−2i22i200000
χ5044-4-4-44-440-440-400400000000004-40000000000000000000000000000000000000
χ5144-4-4-44-440-440-40040000000000-440000000000000000000000000000000000000
χ524-444-4-4-4404-40-40040000004-44-4000000000000000000000000000000000000000
χ534-444-4-4-4404-40-4004000000-44-44000000000000000000000000000000000000000
χ544-444-4-4-440-440400-40000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ554-444-4-4-440-440400-4000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ564-44-444-4-4000000000000002i2−2i2−2i22i2000000000000002i2−2i200002-2-22000000000000000
χ574-44-444-4-4000000000000002i2−2i2−2i22i200000000000000−2i22i20000-222-2000000000000000
χ584-44-444-4-400000000000000−2i22i22i2−2i2000000000000002i2−2i20000-222-2000000000000000
χ594-44-444-4-400000000000000−2i22i22i2−2i200000000000000−2i22i200002-2-22000000000000000
χ604-4-44-444-440040-4-40000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ614-4-44-444-440040-4-4000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ624-4-44-444-4-400-404404-4-44000000000000000000000000000000000000000000000
χ634-4-44-444-4-400-40440-444-4000000000000000000000000000000000000000000000
χ644-4-4-44-444-4444-4-44-40000-440000000000000000000000000000000000000000000
χ6588-888-8-8-8000000000000000000000000000000000000000000000000000000000

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