Finite Group Databasebeta

← Group #283108

Character table — Group #283108

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1111111-1-1-1-111-1111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-111111111111111-1-11-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111
χ71111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-111-1
χ91111111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111
χ101111111111111111-1-1-1-111111111-1-111-1-111111111-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1
χ111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-111-1-1111111-1
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
χ131111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-11-11111-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-11-1-111-1-11111-1
χ17222222222-2-222-22-22222-2-20000002200-2-20022-2-2000000000000-2000000000000
χ18222222222-2-222-22-22222-2-2000000-2-200-2-200-2-2220000000000002000000000000
χ19222222222-2-222-22-2-2-2-2-2-2-200000022002200-2-222000000000000-2000000000000
χ20222222222-2-222-22-2-2-2-2-2-2-2000000-2-200220022-2-20000000000002000000000000
χ2122222222-222-2-22-220000-2-222222200-2-200220000-2-200000000000-200000000000
χ2222222222-222-2-22-220000-2-22222-2-2002200-2-20000-2-200000000000200000000000
χ2322222222-222-2-22-220000-2-2-2-2-2-22200-2-200-2-200002200000000000200000000000
χ2422222222-222-2-22-220000-2-2-2-2-2-2-2-20022002200002200000000000-200000000000
χ25222-22-2-2-22002-20-2022-2-20022−2−2002-20000002-2002−222−2−222−2−20000000000002−20
χ26222-22-2-2-22002-20-2022-2-20022−2−200-22000000-22002−222−2−2−2−222000000000000−220
χ27222-22-2-2-22002-20-2022-2-200−2−222002-20000002-200−22−2−222−2−222000000000000−220
χ28222-22-2-2-22002-20-2022-2-200−2−22200-22000000-2200−22−2−22222−2−20000000000002−20
χ29222-22-2-2-22002-20-20-2-2220022−2−2002-2000000-22002−2−2−222−2−2220000000000002−20
χ30222-22-2-2-22002-20-20-2-2220022−2−200-220000002-2002−2−2−22222−2−2000000000000−220
χ31222-22-2-2-22002-20-20-2-22200−2−222002-2000000-2200−2222−2−222−2−2000000000000−220
χ32222-22-2-2-22002-20-20-2-22200−2−22200-220000002-200−2222−2−2−2−2220000000000002−20
χ332-2-2-22-222222-2-2-22-22-22-22-200002i−2i002i−2i2-200000000000000002i−2i0000000000000
χ342-2-2-22-222222-2-2-22-22-22-22-20000−2i2i00−2i2i2-20000000000000000−2i2i0000000000000
χ352-2-2-22-222222-2-2-22-2-22-222-200002i−2i002i−2i-220000000000000000−2i2i0000000000000
χ362-2-2-22-222222-2-2-22-2-22-222-20000−2i2i00−2i2i-2200000000000000002i−2i0000000000000
χ372-2-2-22-2222-2-2-2-22222-22-2-220000000000-2200000000000000000000002-22-200000
χ382-2-2-22-2222-2-2-2-22222-22-2-220000000000-220000000000000000000000-22-2200000
χ392-2-2-22-2222-2-2-2-2222-22-22-2200000000002-200000000000000000000002-2-2200000
χ402-2-2-22-2222-2-2-2-2222-22-22-2200000000002-20000000000000000000000-222-200000
χ412-2-2-22-222-22222-2-2-20000-2200002i−2i00−2i2i00000000002i−2i2i−2i000000002-2000000000
χ422-2-2-22-222-22222-2-2-20000-2200002i−2i00−2i2i0000000000−2i2i−2i2i00000000-22000000000
χ432-2-2-22-222-22222-2-2-20000-220000−2i2i002i−2i00000000002i−2i2i−2i00000000-22000000000
χ442-2-2-22-222-22222-2-2-20000-220000−2i2i002i−2i0000000000−2i2i−2i2i000000002-2000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-44-4-4-4-400-440400000002222−22−2200000000000000−222200000000000000000000000
χ47444-44-4-4-4-400-44040000000−22−2222220000000000000022−2200000000000000000000000
χ4844-44-4-4-4404-40040-40000004-44-4000000000000000000000000000000000000000
χ4944-44-4-4-4404-40040-4000000-44-44000000000000000000000000000000000000000
χ5044-44-4-4-440-4400-4040000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ5144-44-4-4-440-4400-404000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5244-4-4-444-40000000000000022−22−22220000000000002i2−2i20000002i−2i−2i2i000000000000000
χ5344-4-4-444-40000000000000022−22−2222000000000000−2i22i2000000−2i2i2i−2i000000000000000
χ5444-4-4-444-400000000000000−222222−220000000000002i2−2i2000000−2i2i2i−2i000000000000000
χ5544-4-4-444-400000000000000−222222−22000000000000−2i22i20000002i−2i−2i2i000000000000000
χ564-44-4-44-4404-400-4040000000000000000004-400000000000000000000000000000
χ574-44-4-44-4404-400-404000000000000000000-4400000000000000000000000000000
χ584-44-4-44-440-440040-4000000000000000000000000000000000000000000002i2−2i2000
χ594-44-4-44-440-440040-400000000000000000000000000000000000000000000−2i22i2000
χ604-4-4444-4-4400-440-404-4-44000000000000000000000000000000000000000000000
χ614-4-4444-4-4400-440-40-444-4000000000000000000000000000000000000000000000
χ624-4-4444-4-4-4004-4040000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ634-4-4444-4-4-4004-404000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ644-4-4-44-444-4-4-4444-4400004-40000000000000000000000000000000000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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