Finite Group Databasebeta

← Group #6591600

Character table — Group #6591600

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11111111222222222222222222224444444444444444444444444444448888888888888888888888888888888161616161616
order12222222444444444444444444442222222244444444444444888888884444444444444444444888888888888224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-111111111-1-1-11-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ8111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111111111111111-1-1-1-11111-1-111-1-1
χ911111111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1111111-1-111-1-111111111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ1011111111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ1111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-111-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ1211111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ1311111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ1411111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111
χ1511111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ1611111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-11111-1-1-1-11111111111-1-1-1-1
χ1711111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-111-1-11-11-11-1
χ1811111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-11-11-11
χ1911111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-1-11-11-11
χ2011111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-1111-11-11-1
χ2111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-111-1-11
χ2211111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11-1-111-1
χ2311111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11-1-1-11-1-11111-1-111-1-111-1-11111-1-1-1-1111-1-111-1
χ2411111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111-1-1-11-1-11111-1-11111-1-111-1-1-1-11111-1-1-111-1-11
χ2511111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-11-111-1
χ2611111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1111-11-1-11
χ2711111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11-1-11-111-1-1-1-11111-1-111-1-111-1-11111-1-11-11-1-11
χ2811111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111-1-11-111-1-1-1-1111111-1-111-1-111-1-1-1-111-11-111-1
χ2911111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-111-1-1111-1-11-11
χ3011111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-1-111-1-11111-1-111-1-11111-1-111-1-1-111-11-1
χ3111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-111-11-1
χ3211111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1111111-1-111-1-1-1-111-1-1-1-11111-1-111-1-11-1-11-11
χ33222222222222-2-2222222222222-2-2-2-2-2-20000220000-2-22222-2-200000000-200-2-200000000000000000000000000000000
χ34222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2220000-2-20000-2-222-2-22200000000200-2200000000000000000000000000000000
χ35222222222222-2-2-2-2-2-22222-2-2-2-2-2-222-2-20000-2-20000-2-2-2-22222000000002002-200000000000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-22222-2-222220000220000-2-2-2-2-2-2-2-200000000-2002200000000000000000000000000000000
χ3722222222-2-2-2-2-2-2222222222222-2-2-2-2-2-20000-2-2000022-2-2-2-2-2-2000000002002200000000000000000000000000000000
χ3822222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222000022000022-2-2222200000000-2002-200000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-200002200002222-2-22200000000-200-2200000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-222220000-2-20000222222-2-200000000200-2-200000000000000000000000000000000
χ412-2222-2-2-222-2-2002i2i−2i−2i2i2i−2i−2i22-2-200000000002-20000002i−2i2i−2i0022−2−222−2−200000000000000000002−22−2i2−i2i2−i2i2−i2i2−i2000000
χ422-2222-2-2-222-2-2002i2i−2i−2i2i2i−2i−2i22-2-200000000002-20000002i−2i2i−2i00−2−222−2−2220000000000000000000−22−22−i2i2−i2i2−i2i2−i2i2000000
χ432-2222-2-2-222-2-2002i2i−2i−2i−2i−2i2i2i-2-2220000000000-220000002i−2i−2i2i0022−2−222−2−20000000000000000000−22−22i2−i2i2−i2−i2i2−i2i2000000
χ442-2222-2-2-222-2-2002i2i−2i−2i−2i−2i2i2i-2-2220000000000-220000002i−2i−2i2i00−2−222−2−22200000000000000000002−22−2−i2i2−i2i2i2−i2i2−i2000000
χ452-2222-2-2-222-2-200−2i−2i2i2i2i2i−2i−2i-2-2220000000000-22000000−2i2i2i−2i0022−2−222−2−20000000000000000000−22−22−i2i2−i2i2i2−i2i2−i2000000
χ462-2222-2-2-222-2-200−2i−2i2i2i2i2i−2i−2i-2-2220000000000-22000000−2i2i2i−2i00−2−222−2−22200000000000000000002−22−2i2−i2i2−i2−i2i2−i2i2000000
χ472-2222-2-2-222-2-200−2i−2i2i2i−2i−2i2i2i22-2-200000000002-2000000−2i2i−2i2i0022−2−222−2−200000000000000000002−22−2−i2i2−i2i2−i2i2−i2i2000000
χ482-2222-2-2-222-2-200−2i−2i2i2i−2i−2i2i2i22-2-200000000002-2000000−2i2i−2i2i00−2−222−2−2220000000000000000000−22−22i2−i2i2−i2i2−i2i2−i2000000
χ492-2222-2-2-2-2-222002i2i−2i−2i2i2i−2i−2i22-2-20000000000-22000000−2i2i−2i2i0022−2−2−2−22200000000000000000002−2−22i2−i2−i2i2i2−i2−i2i2000000
χ502-2222-2-2-2-2-222002i2i−2i−2i2i2i−2i−2i22-2-20000000000-22000000−2i2i−2i2i00−2−22222−2−20000000000000000000−222−2−i2i2i2−i2−i2i2i2−i2000000
χ512-2222-2-2-2-2-222002i2i−2i−2i−2i−2i2i2i-2-22200000000002-2000000−2i2i2i−2i0022−2−2−2−2220000000000000000000−222−2i2−i2−i2i2−i2i2i2−i2000000
χ522-2222-2-2-2-2-222002i2i−2i−2i−2i−2i2i2i-2-22200000000002-2000000−2i2i2i−2i00−2−22222−2−200000000000000000002−2−22−i2i2i2−i2i2−i2−i2i2000000
χ532-2222-2-2-2-2-22200−2i−2i2i2i2i2i−2i−2i-2-22200000000002-20000002i−2i−2i2i0022−2−2−2−2220000000000000000000−222−2−i2i2i2−i2i2−i2−i2i2000000
χ542-2222-2-2-2-2-22200−2i−2i2i2i2i2i−2i−2i-2-22200000000002-20000002i−2i−2i2i00−2−22222−2−200000000000000000002−2−22i2−i2−i2i2−i2i2i2−i2000000
χ552-2222-2-2-2-2-22200−2i−2i2i2i−2i−2i2i2i22-2-20000000000-220000002i−2i2i−2i0022−2−2−2−22200000000000000000002−2−22−i2i2i2−i2−i2i2i2−i2000000
χ562-2222-2-2-2-2-22200−2i−2i2i2i−2i−2i2i2i22-2-20000000000-220000002i−2i2i−2i00−2−22222−2−20000000000000000000−222−2i2−i2−i2i2i2−i2−i2i2000000
χ572-2-22-222-22-22-22-20000000000002-2000022-2-20022-2-22-20000002i−2i2i−2i2i−2i2i−2i0000000000000002i−2i2i−2i000000000000000000
χ582-2-22-222-22-22-22-20000000000002-2000022-2-20022-2-22-2000000−2i2i−2i2i−2i2i−2i2i000000000000000−2i2i−2i2i000000000000000000
χ592-2-22-222-22-22-22-20000000000002-20000-2-22200-2-2222-20000002i−2i2i−2i2i−2i2i−2i000000000000000−2i2i−2i2i000000000000000000
χ602-2-22-222-22-22-22-20000000000002-20000-2-22200-2-2222-2000000−2i2i−2i2i−2i2i−2i2i0000000000000002i−2i2i−2i000000000000000000
χ612-2-22-222-2-22-222-20000000000002-2000022-2-200-2-222-220000002i−2i2i−2i−2i2i−2i2i0000000000000002i−2i−2i2i000000000000000000
χ622-2-22-222-2-22-222-20000000000002-2000022-2-200-2-222-22000000−2i2i−2i2i2i−2i2i−2i000000000000000−2i2i2i−2i000000000000000000
χ632-2-22-222-2-22-222-20000000000002-20000-2-2220022-2-2-220000002i−2i2i−2i−2i2i−2i2i000000000000000−2i2i2i−2i000000000000000000
χ642-2-22-222-2-22-222-20000000000002-20000-2-2220022-2-2-22000000−2i2i−2i2i2i−2i2i−2i0000000000000002i−2i−2i2i000000000000000000
χ652-2-2-222-220000222-22-22-22-22-22-2-2-22-22-20000002i−2i2i−2i0000002-20000000002i−2i00002i−2i002i−2i000000000000000000000000
χ662-2-2-222-220000222-22-22-22-22-22-2-2-22-22-2000000−2i2i−2i2i0000002-2000000000−2i2i0000−2i2i00−2i2i000000000000000000000000
χ672-2-2-222-220000222-22-2-22-22-22-22-2-22-2-220000002i−2i2i−2i000000-22000000000−2i2i00002i−2i00−2i2i000000000000000000000000
χ682-2-2-222-220000222-22-2-22-22-22-22-2-22-2-22000000−2i2i−2i2i000000-220000000002i−2i0000−2i2i002i−2i000000000000000000000000
χ692-2-2-222-22000022-22-222-22-2-22-22-2-2-222-20000002i−2i2i−2i000000-22000000000−2i2i0000−2i2i002i−2i000000000000000000000000
χ702-2-2-222-22000022-22-222-22-2-22-22-2-2-222-2000000−2i2i−2i2i000000-220000000002i−2i00002i−2i00−2i2i000000000000000000000000
χ712-2-2-222-22000022-22-22-22-222-22-2-2-2-22-220000002i−2i2i−2i0000002-20000000002i−2i0000−2i2i00−2i2i000000000000000000000000
χ722-2-2-222-22000022-22-22-22-222-22-2-2-2-22-22000000−2i2i−2i2i0000002-2000000000−2i2i00002i−2i002i−2i000000000000000000000000
χ732-2-2-222-220000-2-22-22-22-22-22-22-222-22-222-22-2000000000000-2200000000000002-2002-2002-20000000000000000000000
χ742-2-2-222-220000-2-22-22-22-22-22-22-222-22-22-22-22000000000000-220000000000000-2200-2200-220000000000000000000000
χ752-2-2-222-220000-2-22-22-2-22-22-22-2222-222-22-22-20000000000002-200000000000002-200-2200-220000000000000000000000
χ762-2-2-222-220000-2-22-22-2-22-22-22-2222-222-2-22-220000000000002-20000000000000-22002-2002-20000000000000000000000
χ772-2-2-222-220000-2-2-22-222-22-2-22-22222-2-222-22-20000000000002-20000000000000-22002-200-220000000000000000000000
χ782-2-2-222-220000-2-2-22-222-22-2-22-22222-2-22-22-220000000000002-200000000000002-200-22002-20000000000000000000000
χ792-2-2-222-220000-2-2-22-22-22-222-22-2222-22-22-22-2000000000000-220000000000000-2200-22002-20000000000000000000000
χ802-2-2-222-220000-2-2-22-22-22-222-22-2222-22-2-22-22000000000000-2200000000000002-2002-200-220000000000000000000000
χ81444-4-44-4-400004-4000000000000-4400000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000
χ82444-4-44-4-400004-4000000000000-440000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000
χ83444-4-44-4-40000-440000000000004-400004-4-4400000000000000000000000000000000000000000000000000000000000
χ84444-4-44-4-40000-440000000000004-40000-444-400000000000000000000000000000000000000000000000000000000000
χ8544-44-4-4-444-4-44000000000000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000
χ8644-44-4-4-444-4-4400000000000000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000
χ8744-44-4-4-44-444-4000000000000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000
χ8844-44-4-4-44-444-400000000000000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000
χ8944-4-44-44-40000004i−4i−4i4i4i−4i−4i4i4-4-44000000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-44-44-40000004i−4i−4i4i−4i4i4i−4i-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ9144-4-44-44-4000000−4i4i4i−4i4i−4i−4i4i-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ9244-4-44-44-4000000−4i4i4i−4i−4i4i4i−4i4-4-44000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-44-444-44-44-4-44000000000000-4400000000000000-44000000000000000000000000000000000000000000000000000
χ944-4-44-444-4-44-44-44000000000000-44000000000000004-4000000000000000000000000000000000000000000000000000
χ958-88-8-8-888000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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