Finite Group Databasebeta

← Group #6593607

Character table — Group #6593607

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11111111222222222222222222224444444444444444444444444444448888888888888888888888888888888161616161616
order12222222444444444444444444442222224444444444444444888888882224444444444444444888888888888444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-1-1-11111111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-11-11-11-1
χ611111111111111111-1-1-1-11111111-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-11-11-11
χ711111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-11
χ811111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-11-1
χ91111111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111111111-111-1-11-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1
χ101111111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-11111
χ111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1111-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111
χ121111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1111111-1-111111111-1-111-1-11111-1-1-1-1
χ131111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-111111-1-111-1-1-1-1-1-11111-1-1-1-1111-1-11-11
χ141111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111111-1-111-1111-1-11111-1-1-1-111-1-1-1-11111-1-1-111-11-1
χ151111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-1111-1-1-11-1-1-1-111-1-11111-1-11111-1-1-1-111-111-11-1
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11111111-1-1-11-1-111-1-1-1-1111111-1-1-1-11111-1-11-1-11-11
χ17111111111-1-1-1-111111111-1-1-1-1111-1-111111111-1-1-1-11111-1-11111111111-1-1-111-11-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ18111111111-1-1-1-111111111-1-1-1-1111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1
χ19111111111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ20111111111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1111111111-1-111-1-1-1-111111111-1-1-1-111
χ21111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-11111-1-1-1-111-1-111-1-1-1-1-1-11111-11-111-1
χ22111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-111-1-111-1-111-1-1-1-1111111-1-1-1-11-11-1-11
χ23111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-11-1-11
χ24111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-111-1-111-1-111-1-1111111-1-1-1-1-11-111-1
χ25111111111-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1-111111111-1-111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1
χ26111111111-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111
χ27111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111
χ28111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1111111-1-111-1-1-1-111-1-1
χ29111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-11
χ30111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111-1-111-1
χ31111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-11111-1-11-1-111-1
χ32111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-111-111-1-11
χ3322222222-22222222222222222-2-2-222000022-2-222-2-20000-2-2-2-200000000-20000-2-2000000000000000000000000000000
χ3422222222-222222222-2-2-2-22222-2-2-2-2-20000-2-2-2-2-2-2-2-20000-2-222000000002000022000000000000000000000000000000
χ3522222222-22222-2-2-2-22222-2-2-2-2-2-2-2220000-2-222-2-2220000-2-2-2-20000000020000-22000000000000000000000000000000
χ3622222222-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222222220000-2-22200000000-200002-2000000000000000000000000000000
χ3722222222-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2000022-2-2-2-222000022-2-200000000200002-2000000000000000000000000000000
χ3822222222-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2220000-2-2-2-222220000222200000000-20000-22000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-222222222-2-2-2-2-20000-2-22222-2-2000022-2-200000000-2000022000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-22200002222-2-2-2-2000022220000000020000-2-2000000000000000000000000000000
χ412-222-22-2-2022-2-22i2i−2i−2i22-2-22i2i−2i−2i0002-200002i−2i002i−2i000000000022−2−222−2−20000000000000000000i2−i2i2−i22−2i2−i22−2i2−i2000000
χ422-222-22-2-2022-2-22i2i−2i−2i22-2-22i2i−2i−2i0002-200002i−2i002i−2i0000000000−2−222−2−2220000000000000000000−i2i2−i2i2−22−i2i2−22−i2i2000000
χ432-222-22-2-2022-2-22i2i−2i−2i-2-2222i2i−2i−2i000-220000−2i2i00−2i2i000000000022−2−2−2−2220000000000000000000i2−i2−i2i22−2i2−i2−22−i2i2000000
χ442-222-22-2-2022-2-22i2i−2i−2i-2-2222i2i−2i−2i000-220000−2i2i00−2i2i0000000000−2−22222−2−20000000000000000000−i2i2i2−i2−22−i2i22−2i2−i2000000
χ452-222-22-2-2022-2-2−2i−2i2i2i22-2-2−2i−2i2i2i0002-20000−2i2i00−2i2i000000000022−2−222−2−20000000000000000000−i2i2−i2i22−2−i2i22−2−i2i2000000
χ462-222-22-2-2022-2-2−2i−2i2i2i22-2-2−2i−2i2i2i0002-20000−2i2i00−2i2i0000000000−2−222−2−2220000000000000000000i2−i2i2−i2−22i2−i2−22i2−i2000000
χ472-222-22-2-2022-2-2−2i−2i2i2i-2-222−2i−2i2i2i000-2200002i−2i002i−2i000000000022−2−2−2−2220000000000000000000−i2i2i2−i22−2−i2i2−22i2−i2000000
χ482-222-22-2-2022-2-2−2i−2i2i2i-2-222−2i−2i2i2i000-2200002i−2i002i−2i0000000000−2−22222−2−20000000000000000000i2−i2−i2i2−22i2−i22−2−i2i2000000
χ492-222-22-2-20-2-2222i2i−2i−2i22-2-2−2i−2i2i2i000-2200002i−2i00−2i2i000000000022−2−222−2−20000000000000000000i2−i2i2−i2−22−i2i2−22−i2i2000000
χ502-222-22-2-20-2-2222i2i−2i−2i22-2-2−2i−2i2i2i000-2200002i−2i00−2i2i0000000000−2−222−2−2220000000000000000000−i2i2−i2i22−2i2−i22−2i2−i2000000
χ512-222-22-2-20-2-2222i2i−2i−2i-2-222−2i−2i2i2i0002-20000−2i2i002i−2i000000000022−2−2−2−2220000000000000000000i2−i2−i2i2−22−i2i22−2i2−i2000000
χ522-222-22-2-20-2-2222i2i−2i−2i-2-222−2i−2i2i2i0002-20000−2i2i002i−2i0000000000−2−22222−2−20000000000000000000−i2i2i2−i22−2i2−i2−22−i2i2000000
χ532-222-22-2-20-2-222−2i−2i2i2i22-2-22i2i−2i−2i000-220000−2i2i002i−2i000000000022−2−222−2−20000000000000000000−i2i2−i2i2−22i2−i2−22i2−i2000000
χ542-222-22-2-20-2-222−2i−2i2i2i22-2-22i2i−2i−2i000-220000−2i2i002i−2i0000000000−2−222−2−2220000000000000000000i2−i2i2−i22−2−i2i22−2−i2i2000000
χ552-222-22-2-20-2-222−2i−2i2i2i-2-2222i2i−2i−2i0002-200002i−2i00−2i2i000000000022−2−2−2−2220000000000000000000−i2i2i2−i2−22i2−i22−2−i2i2000000
χ562-222-22-2-20-2-222−2i−2i2i2i-2-2222i2i−2i−2i0002-200002i−2i00−2i2i0000000000−2−22222−2−20000000000000000000i2−i2−i2i22−2−i2i2−22i2−i2000000
χ572-22-22-22-222i−2i2i−2i2-22-200002i−2i2i−2i-2-220022-2-2002-2002i−2i00002i−2i000000000000000000000002i−2i2-22i−2i000000000000000000
χ582-22-22-22-222i−2i2i−2i2-22-200002i−2i2i−2i-2-2200-2-222002-2002i−2i00002i−2i00000000000000000000000−2i2i-22−2i2i000000000000000000
χ592-22-22-22-222i−2i2i−2i-22-220000−2i2i−2i2i-2-220022-2-200-2200−2i2i00002i−2i000000000000000000000002i−2i-22−2i2i000000000000000000
χ602-22-22-22-222i−2i2i−2i-22-220000−2i2i−2i2i-2-2200-2-22200-2200−2i2i00002i−2i00000000000000000000000−2i2i2-22i−2i000000000000000000
χ612-22-22-22-22−2i2i−2i2i2-22-20000−2i2i−2i2i-2-220022-2-2002-200−2i2i0000−2i2i00000000000000000000000−2i2i2-2−2i2i000000000000000000
χ622-22-22-22-22−2i2i−2i2i2-22-20000−2i2i−2i2i-2-2200-2-222002-200−2i2i0000−2i2i000000000000000000000002i−2i-222i−2i000000000000000000
χ632-22-22-22-22−2i2i−2i2i-22-2200002i−2i2i−2i-2-220022-2-200-22002i−2i0000−2i2i00000000000000000000000−2i2i-222i−2i000000000000000000
χ642-22-22-22-22−2i2i−2i2i-22-2200002i−2i2i−2i-2-2200-2-22200-22002i−2i0000−2i2i000000000000000000000002i−2i2-2−2i2i000000000000000000
χ652-22-22-22-2-22i−2i2i−2i2-22-200002i−2i2i−2i22-200000000-2200−2i2i2i2i−2i−2i−2i2i000000000002-22i−2i002-20000000000000000000000000000
χ662-22-22-22-2-22i−2i2i−2i2-22-200002i−2i2i−2i22-200000000-2200−2i2i−2i−2i2i2i−2i2i00000000000-22−2i2i00-220000000000000000000000000000
χ672-22-22-22-2-22i−2i2i−2i-22-220000−2i2i−2i2i22-2000000002-2002i−2i2i2i−2i−2i−2i2i000000000002-2−2i2i00-220000000000000000000000000000
χ682-22-22-22-2-22i−2i2i−2i-22-220000−2i2i−2i2i22-2000000002-2002i−2i−2i−2i2i2i−2i2i00000000000-222i−2i002-20000000000000000000000000000
χ692-22-22-22-2-2−2i2i−2i2i2-22-20000−2i2i−2i2i22-200000000-22002i−2i2i2i−2i−2i2i−2i00000000000-222i−2i00-220000000000000000000000000000
χ702-22-22-22-2-2−2i2i−2i2i2-22-20000−2i2i−2i2i22-200000000-22002i−2i−2i−2i2i2i2i−2i000000000002-2−2i2i002-20000000000000000000000000000
χ712-22-22-22-2-2−2i2i−2i2i-22-2200002i−2i2i−2i22-2000000002-200−2i2i2i2i−2i−2i2i−2i00000000000-22−2i2i002-20000000000000000000000000000
χ722-22-22-22-2-2−2i2i−2i2i-22-2200002i−2i2i−2i22-2000000002-200−2i2i−2i−2i2i2i2i−2i000000000002-22i−2i00-220000000000000000000000000000
χ732-2-2-222-222000000002-22-200002-2-2002-22-2000000002-22-2002-22i−2i2i−2i2i−2i2i−2i0000000002i−2i2i−2i000000000000000000000000
χ742-2-2-222-222000000002-22-200002-2-2002-22-2000000002-22-2002-2−2i2i−2i2i−2i2i−2i2i000000000−2i2i−2i2i000000000000000000000000
χ752-2-2-222-222000000002-22-200002-2-200-22-2200000000-22-22002-22i−2i2i−2i2i−2i2i−2i000000000−2i2i−2i2i000000000000000000000000
χ762-2-2-222-222000000002-22-200002-2-200-22-2200000000-22-22002-2−2i2i−2i2i−2i2i−2i2i0000000002i−2i2i−2i000000000000000000000000
χ772-2-2-222-22200000000-22-2200002-2-2002-22-200000000-22-2200-222i−2i2i−2i−2i2i−2i2i0000000002i−2i−2i2i000000000000000000000000
χ782-2-2-222-22200000000-22-2200002-2-2002-22-200000000-22-2200-22−2i2i−2i2i2i−2i2i−2i000000000−2i2i2i−2i000000000000000000000000
χ792-2-2-222-22200000000-22-2200002-2-200-22-22000000002-22-200-222i−2i2i−2i−2i2i−2i2i000000000−2i2i2i−2i000000000000000000000000
χ802-2-2-222-22200000000-22-2200002-2-200-22-22000000002-22-200-22−2i2i−2i2i2i−2i2i−2i0000000002i−2i−2i2i000000000000000000000000
χ81444-4-4-4-4404i−4i−4i4i4i−4i−4i4i0000-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ82444-4-4-4-4404i−4i−4i4i−4i4i4i−4i00004-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ83444-4-4-4-440−4i4i4i−4i4i−4i−4i4i00004-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ84444-4-4-4-440−4i4i4i−4i−4i4i4i−4i0000-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ8544-444-4-4-440000000000000000-44-4004-4-440000000000000000000000000000000000000000000000000000000000000
χ8644-444-4-4-440000000000000000-44-400-444-40000000000000000000000000000000000000000000000000000000000000
χ8744-444-4-4-4-400000000000000004-44000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000
χ8844-444-4-4-4-400000000000000004-4400000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000
χ8944-4-4-444-40000000004-4-44000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000
χ9044-4-4-444-40000000004-4-4400000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000
χ9144-4-4-444-4000000000-444-4000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000
χ9244-4-4-444-4000000000-444-400000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000
χ934-4-4-444-44-4000000004-44-40000-44400000000000000000000-44000000000000000000000000000000000000000000000
χ944-4-4-444-44-400000000-44-440000-444000000000000000000004-4000000000000000000000000000000000000000000000
χ958-8-88-8-888000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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