Finite Group Databasebeta

← Group #6620101

Character table — Group #6620101

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11111111222222222222222222224444444444444444444444444444448888888888888888888888888888888161616161616
order12222222444444444444444444442222224444444444444444888888882224444444444444444888888888888244444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-111-1-11
χ611111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-111-1
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-111-1
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-111-1-11
χ9111111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-1111111111111-1-1-1111-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-11-11
χ10111111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111111-11-1
χ11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1111-11-1
χ12111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-111111111-1-11111-1-11111-1-1-11-11
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-111-1-11-1-11111-1-1-1-111-1-1-1-1-1-111111-1-1-111
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-111-1-11-1-111-1-1-1-111-1-1111111-1-1-1-1-1111-1-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-11-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1111-1-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111111-1-11111-1-1-1-1111111-1-1-1-11-1-1-111
χ1711111111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-111-1-111111111111111111-1-1-1-1-111-1-1-11111-1-111-1-111-1-1-1-111-1-1-11-1-11-1
χ1811111111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-111-1-1-1-1-1-111-1-11111-1-1111-111-11
χ1911111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111-111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11-111-11
χ2011111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-111-1-111111111-1-11111-1-111-11-1-11-1
χ2111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1111-1-111111-1-111-1-1-1-1-1-111-1-111-1-11111-11-1-1
χ2211111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1111-1-111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11-111
χ2311111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1111-1-11-1-111-1-11111-1-111-1-111-1-111-1-11-111
χ2411111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1111-1-11-1-1111111-1-111-1-111-1-111-1-111-11-1-1
χ2511111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1111111111111-111-1-1-1-1-11-1-1-1-1111111-1-1-1-111-1-1-1-1111-11-1-1-1
χ2611111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1-111-1-11111-1-11111-1-1-11-1111
χ2711111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-1111
χ2811111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111111-1-11111-1-11-11-1-1-1
χ2911111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111-1
χ3011111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-11
χ3111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-11
χ3211111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ33222222222222222222222222-2-2-2-2220000-2-2-2-2-2-22222-2-2000000000000-200-20000-20000000000000000000000000000
χ3422222222222222222222-2-2-2-2-2-2-2-2-2-20000-2-2-2-222-2-2-2-2-2-20000000000002002000020000000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-20000-2-222-2-222-2-222000000000000200-2000020000000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000-2-22222-2-22222000000000000-20020000-20000000000000000000000000000
χ3722222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-200002222-2-2-2-222-2-2000000000000-2002000020000000000000000000000000000
χ3822222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222000022222222-2-2-2-2000000000000200-20000-20000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-222222222-2-2-2-222000022-2-2-2-2-2-2-2-22200000000000020020000-20000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000022-2-222222222000000000000-200-2000020000000000000000000000000000
χ4122-2-2-222-20000000000002i2i−2i−2i22-2-20022-2-200002i−2i0000002i2i−2i−2i22-2-22i2i−2i−2i00000000000002-2002i−2i000000000000000000
χ4222-2-2-222-20000000000002i2i−2i−2i22-2-20022-2-200002i−2i0000002i2i−2i−2i-2-222−2i−2i2i2i0000000000000-2200−2i2i000000000000000000
χ4322-2-2-222-20000000000002i2i−2i−2i22-2-200-2-22200002i−2i000000−2i−2i2i2i22-2-22i2i−2i−2i0000000000000-2200−2i2i000000000000000000
χ4422-2-2-222-20000000000002i2i−2i−2i22-2-200-2-22200002i−2i000000−2i−2i2i2i-2-222−2i−2i2i2i00000000000002-2002i−2i000000000000000000
χ4522-2-2-222-2000000000000−2i−2i2i2i22-2-20022-2-20000−2i2i000000−2i−2i2i2i22-2-2−2i−2i2i2i00000000000002-200−2i2i000000000000000000
χ4622-2-2-222-2000000000000−2i−2i2i2i22-2-20022-2-20000−2i2i000000−2i−2i2i2i-2-2222i2i−2i−2i0000000000000-22002i−2i000000000000000000
χ4722-2-2-222-2000000000000−2i−2i2i2i22-2-200-2-2220000−2i2i0000002i2i−2i−2i22-2-2−2i−2i2i2i0000000000000-22002i−2i000000000000000000
χ4822-2-2-222-2000000000000−2i−2i2i2i22-2-200-2-2220000−2i2i0000002i2i−2i−2i-2-2222i2i−2i−2i00000000000002-200−2i2i000000000000000000
χ492-222-22-2-222-2-22i2i−2i−2i2i2i−2i−2i00002-22-20000002-22i−2i0000002i−2i2i−2i2i−2i0000000002-20000002i−2i2-2000000000000000000000000
χ502-222-22-2-222-2-22i2i−2i−2i2i2i−2i−2i00002-22-20000002-22i−2i0000002i−2i−2i2i−2i2i000000000-22000000−2i2i-22000000000000000000000000
χ512-222-22-2-222-2-22i2i−2i−2i2i2i−2i−2i0000-22-22002-22-2-22−2i2i000000−2i2i00000000000000002-22i−2i00000002i−2i00000000000000000000
χ522-222-22-2-222-2-22i2i−2i−2i2i2i−2i−2i0000-22-2200-22-22-22−2i2i000000−2i2i0000000000000000-22−2i2i0000000−2i2i00000000000000000000
χ532-222-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i00002-22-20000002-2−2i2i000000−2i2i2i−2i2i−2i000000000-220000002i−2i-22000000000000000000000000
χ542-222-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i00002-22-20000002-2−2i2i000000−2i2i−2i2i−2i2i0000000002-2000000−2i2i2-2000000000000000000000000
χ552-222-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000-22-22002-22-2-222i−2i0000002i−2i00000000000000002-2−2i2i0000000−2i2i00000000000000000000
χ562-222-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000-22-2200-22-22-222i−2i0000002i−2i0000000000000000-222i−2i00000002i−2i00000000000000000000
χ572-222-22-2-2-2-2222i2i−2i−2i−2i−2i2i2i00002-22-2000000-22−2i2i0000002i−2i2i−2i2i−2i000000000-22000000−2i2i2-2000000000000000000000000
χ582-222-22-2-2-2-2222i2i−2i−2i−2i−2i2i2i00002-22-2000000-22−2i2i0000002i−2i−2i2i−2i2i0000000002-20000002i−2i-22000000000000000000000000
χ592-222-22-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000-22-22002-22-22-22i−2i000000−2i2i0000000000000000-222i−2i0000000−2i2i00000000000000000000
χ602-222-22-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000-22-2200-22-222-22i−2i000000−2i2i00000000000000002-2−2i2i00000002i−2i00000000000000000000
χ612-222-22-2-2-2-222−2i−2i2i2i2i2i−2i−2i00002-22-2000000-222i−2i000000−2i2i2i−2i2i−2i0000000002-2000000−2i2i-22000000000000000000000000
χ622-222-22-2-2-2-222−2i−2i2i2i2i2i−2i−2i00002-22-2000000-222i−2i000000−2i2i−2i2i−2i2i000000000-220000002i−2i2-2000000000000000000000000
χ632-222-22-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000-22-22002-22-22-2−2i2i0000002i−2i0000000000000000-22−2i2i00000002i−2i00000000000000000000
χ642-222-22-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000-22-2200-22-222-2−2i2i0000002i−2i00000000000000002-22i−2i0000000−2i2i00000000000000000000
χ652-22-22-22-22i−2i2i−2i2-22-22i−2i2i−2i2i−2i2i−2i00002-200000000002-22i−2i0000002−22−2i2−i2i2−i20000000000000000000i2−i22−2i2−i22−2i2−i22−2000000
χ662-22-22-22-22i−2i2i−2i2-22-22i−2i2i−2i2i−2i2i−2i00002-200000000002-22i−2i000000−22−22−i2i2−i2i20000000000000000000−i2i2−22−i2i2−22−i2i2−22000000
χ672-22-22-22-22i−2i2i−2i2-22-22i−2i2i−2i−2i2i−2i2i0000-220000000000-22−2i2i0000002−22−2−i2i2−i2i20000000000000000000i2−i22−2i2−i2−22−i2i2−22000000
χ682-22-22-22-22i−2i2i−2i2-22-22i−2i2i−2i−2i2i−2i2i0000-220000000000-22−2i2i000000−22−22i2−i2i2−i20000000000000000000−i2i2−22−i2i22−2i2−i22−2000000
χ692-22-22-22-22i−2i2i−2i-22-22−2i2i−2i2i2i−2i2i−2i0000-2200000000002-2−2i2i0000002−22−2i2−i2i2−i20000000000000000000i2−i2−22−i2i22−2−i2i2−22000000
χ702-22-22-22-22i−2i2i−2i-22-22−2i2i−2i2i2i−2i2i−2i0000-2200000000002-2−2i2i000000−22−22−i2i2−i2i20000000000000000000−i2i22−2i2−i2−22i2−i22−2000000
χ712-22-22-22-22i−2i2i−2i-22-22−2i2i−2i2i−2i2i−2i2i00002-20000000000-222i−2i0000002−22−2−i2i2−i2i20000000000000000000i2−i2−22−i2i2−22i2−i22−2000000
χ722-22-22-22-22i−2i2i−2i-22-22−2i2i−2i2i−2i2i−2i2i00002-20000000000-222i−2i000000−22−22i2−i2i2−i20000000000000000000−i2i22−2i2−i22−2−i2i2−22000000
χ732-22-22-22-2−2i2i−2i2i2-22-2−2i2i−2i2i2i−2i2i−2i0000-220000000000-222i−2i0000002−22−2i2−i2i2−i20000000000000000000−i2i22−2−i2i2−22i2−i2−22000000
χ742-22-22-22-2−2i2i−2i2i2-22-2−2i2i−2i2i2i−2i2i−2i0000-220000000000-222i−2i000000−22−22−i2i2−i2i20000000000000000000i2−i2−22i2−i22−2−i2i22−2000000
χ752-22-22-22-2−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i−2i2i00002-200000000002-2−2i2i0000002−22−2−i2i2−i2i20000000000000000000−i2i22−2−i2i22−2−i2i22−2000000
χ762-22-22-22-2−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i−2i2i00002-200000000002-2−2i2i000000−22−22i2−i2i2−i20000000000000000000i2−i2−22i2−i2−22i2−i2−22000000
χ772-22-22-22-2−2i2i−2i2i-22-222i−2i2i−2i2i−2i2i−2i00002-20000000000-22−2i2i0000002−22−2i2−i2i2−i20000000000000000000−i2i2−22i2−i2−22−i2i22−2000000
χ782-22-22-22-2−2i2i−2i2i-22-222i−2i2i−2i2i−2i2i−2i00002-20000000000-22−2i2i000000−22−22−i2i2−i2i20000000000000000000i2−i22−2−i2i22−2i2−i2−22000000
χ792-22-22-22-2−2i2i−2i2i-22-222i−2i2i−2i−2i2i−2i2i0000-2200000000002-22i−2i0000002−22−2−i2i2−i2i20000000000000000000−i2i2−22i2−i22−2i2−i2−22000000
χ802-22-22-22-2−2i2i−2i2i-22-222i−2i2i−2i−2i2i−2i2i0000-2200000000002-22i−2i000000−22−22i2−i2i2−i20000000000000000000i2−i22−2−i2i2−22−i2i22−2000000
χ81444-4-4-4-444i−4i−4i4i4i−4i−4i4i-444-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ82444-4-4-4-444i−4i−4i4i−4i4i4i−4i4-4-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ83444-4-4-4-44−4i4i4i−4i4i−4i−4i4i4-4-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ84444-4-4-4-44−4i4i4i−4i−4i4i4i−4i-444-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ8544-4-4-444-40000000000004i4i−4i−4i-4-4440000000000−4i4i0000000000000000000000000000000000000000000000000000000
χ8644-4-4-444-4000000000000−4i−4i4i4i-4-44400000000004i−4i0000000000000000000000000000000000000000000000000000000
χ874-4-44-4-4440000000000004-4-440000000000000000000000000022−22−222222−22−22220000000000000000000000000000000000000
χ884-4-44-4-4440000000000004-4-4400000000000000000000000000−222222−22−222222−220000000000000000000000000000000000000
χ894-4-44-4-444000000000000-444-40000000000000000000000000022−22−2222−222222−220000000000000000000000000000000000000
χ904-4-44-4-444000000000000-444-400000000000000000000000000−222222−2222−22−22220000000000000000000000000000000000000
χ914-4-4-444-4400000000000000004-4-440000000000000000004-4-44000000000000000000000000000000000000000000000
χ924-4-4-444-4400000000000000004-4-44000000000000000000-444-4000000000000000000000000000000000000000000000
χ934-4-4-444-440000000000000000-444-4004-4-440000000000000000000000000000000000000000000000000000000000000
χ944-4-4-444-440000000000000000-444-400-444-40000000000000000000000000000000000000000000000000000000000000
χ9588-888-8-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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