Finite Group Databasebeta

← Group #6463953

Character table — Group #6463953

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222222222444444448888888888888888888888881111111122222222222244444444888888888888888888888888
order12222222444444444444444444444444444444444444888888882222222244444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1
χ611111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111
χ711111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111
χ811111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1
χ91111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1
χ101111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111
χ111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ121111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ1722222222-2-222222222-2-2-2-2-2-2-2-22200000000000000000000000022222222-2-222222222-2-2-2-2-2-2-2-222000000000000000000000000
χ1822222222-2-22222-2-2-2-2-2-222-2-222-2-200000000000000000000000022222222-2-22222-2-2-2-2-2-222-2-222-2-2000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-2-2-22222-2-200000000000000000000000022222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000000022222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000
χ2122-222-2-2-22222-2-20000-2-2002-200002-22-20000000000000000000022-222-2-2-22222-2-20000-2-2002-200002-22-200000000000000000000
χ2222-222-2-2-22222-2-20000-2-2002-20000-22-220000000000000000000022-222-2-2-22222-2-20000-2-2002-20000-22-2200000000000000000000
χ2322-222-2-2-222-2-2220000-2-200-2200002-2-220000000000000000000022-222-2-2-222-2-2220000-2-200-2200002-2-2200000000000000000000
χ2422-222-2-2-222-2-2220000-2-200-220000-222-20000000000000000000022-222-2-2-222-2-2220000-2-200-220000-222-200000000000000000000
χ2522-222-2-2-2-2-222-2-200002200-22000000002i−2i00002i−2i00000000000022-222-2-2-2-2-222-2-200002200-22000000002i−2i00002i−2i000000000000
χ2622-222-2-2-2-2-222-2-200002200-2200000000−2i2i0000−2i2i00000000000022-222-2-2-2-2-222-2-200002200-2200000000−2i2i0000−2i2i000000000000
χ2722-222-2-2-2-2-2-2-222000022002-2000000002i−2i0000−2i2i00000000000022-222-2-2-2-2-2-2-222000022002-2000000002i−2i0000−2i2i000000000000
χ2822-222-2-2-2-2-2-2-222000022002-200000000−2i2i00002i−2i00000000000022-222-2-2-2-2-2-2-222000022002-200000000−2i2i00002i−2i000000000000
χ2922-2-2-22-222-200002i2i−2i−2i2-22i−2i000000000000002i−2i002-2000000000022-2-2-22-222-200002i2i−2i−2i2-22i−2i000000000000002i−2i002-20000000000
χ3022-2-2-22-222-200002i2i−2i−2i2-22i−2i00000000000000−2i2i00-22000000000022-2-2-22-222-200002i2i−2i−2i2-22i−2i00000000000000−2i2i00-220000000000
χ3122-2-2-22-222-20000−2i−2i2i2i2-2−2i2i000000000000002i−2i00-22000000000022-2-2-22-222-20000−2i−2i2i2i2-2−2i2i000000000000002i−2i00-220000000000
χ3222-2-2-22-222-20000−2i−2i2i2i2-2−2i2i00000000000000−2i2i002-2000000000022-2-2-22-222-20000−2i−2i2i2i2-2−2i2i00000000000000−2i2i002-20000000000
χ3322-2-2-22-22-2200002i2i−2i−2i-22−2i2i0000000000002i−2i0000002-20000000022-2-2-22-22-2200002i2i−2i−2i-22−2i2i0000000000002i−2i0000002-200000000
χ3422-2-2-22-22-2200002i2i−2i−2i-22−2i2i000000000000−2i2i000000-220000000022-2-2-22-22-2200002i2i−2i−2i-22−2i2i000000000000−2i2i000000-2200000000
χ3522-2-2-22-22-220000−2i−2i2i2i-222i−2i0000000000002i−2i000000-220000000022-2-2-22-22-220000−2i−2i2i2i-222i−2i0000000000002i−2i000000-2200000000
χ3622-2-2-22-22-220000−2i−2i2i2i-222i−2i000000000000−2i2i0000002-20000000022-2-2-22-22-220000−2i−2i2i2i-222i−2i000000000000−2i2i0000002-200000000
χ372-222-2-2-22002i−2i2i−2i2i−2i2i−2i000000002-20000000000000000i2−i22−22−2i2−i22-222-2-2-22002i−2i2i−2i2i−2i2i−2i000000002-20000000000000000i2−i22−22−2i2−i2
χ382-222-2-2-22002i−2i2i−2i2i−2i2i−2i000000002-20000000000000000−i2i2−22−22−i2i22-222-2-2-22002i−2i2i−2i2i−2i2i−2i000000002-20000000000000000−i2i2−22−22−i2i2
χ392-222-2-2-22002i−2i2i−2i−2i2i−2i2i00000000-220000000000000000i2−i22−2−22−i2i22-222-2-2-22002i−2i2i−2i−2i2i−2i2i00000000-220000000000000000i2−i22−2−22−i2i2
χ402-222-2-2-22002i−2i2i−2i−2i2i−2i2i00000000-220000000000000000−i2i2−222−2i2−i22-222-2-2-22002i−2i2i−2i−2i2i−2i2i00000000-220000000000000000−i2i2−222−2i2−i2
χ412-222-2-2-2200−2i2i−2i2i2i−2i2i−2i00000000-220000000000000000i2−i2−222−2−i2i22-222-2-2-2200−2i2i−2i2i2i−2i2i−2i00000000-220000000000000000i2−i2−222−2−i2i2
χ422-222-2-2-2200−2i2i−2i2i2i−2i2i−2i00000000-220000000000000000−i2i22−2−22i2−i22-222-2-2-2200−2i2i−2i2i2i−2i2i−2i00000000-220000000000000000−i2i22−2−22i2−i2
χ432-222-2-2-2200−2i2i−2i2i−2i2i−2i2i000000002-20000000000000000i2−i2−22−22i2−i22-222-2-2-2200−2i2i−2i2i−2i2i−2i2i000000002-20000000000000000i2−i2−22−22i2−i2
χ442-222-2-2-2200−2i2i−2i2i−2i2i−2i2i000000002-20000000000000000−i2i22−22−2−i2i22-222-2-2-2200−2i2i−2i2i−2i2i−2i2i000000002-20000000000000000−i2i22−22−2−i2i2
χ45444-4-4-44-44-400000000-4400000000000000000000000000000000444-4-4-44-44-400000000-4400000000000000000000000000000000
χ46444-4-4-44-4-44000000004-400000000000000000000000000000000444-4-4-44-4-44000000004-400000000000000000000000000000000
χ474-44-444-4-400000000000000004-4000000000000000000000000004-44-444-4-400000000000000004-400000000000000000000000000
χ484-44-444-4-40000000000000000-44000000000000000000000000004-44-444-4-40000000000000000-4400000000000000000000000000
χ494-4-44-444-4004i−4i−4i4i000000000000000000000000000000000000004-4-44-444-4004i−4i−4i4i00000000000000000000000000000000000000
χ504-4-44-444-400−4i4i4i−4i000000000000000000000000000000000000004-4-44-444-400−4i4i4i−4i00000000000000000000000000000000000000
χ514-4-4-44-4440000004-4-4400000000000000000000000000000000004-4-4-44-4440000004-4-440000000000000000000000000000000000
χ524-4-4-44-444000000-444-400000000000000000000000000000000004-4-4-44-444000000-444-40000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ541111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111
χ551111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111
χ561111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ5711111111111111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11111
χ5811111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1
χ5911111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ6011111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-111-1-1-1-111-1-1-1-1-1-11111
χ611111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-111-1-111
χ621111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-11111-1-111-1-1
χ631111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111-1-1
χ641111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-111-1-111
χ651111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1
χ661111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111
χ671111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ681111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ6922222222-2-222222222-2-2-2-2-2-2-2-222000000000000000000000000-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2000000000000000000000000
χ7022222222-2-22222-2-2-2-2-2-222-2-222-2-2000000000000000000000000-2-2-2-2-2-2-2-222-2-2-2-2222222-2-222-2-222000000000000000000000000
χ7122222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-222000000000000000000000000
χ7222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000-2-2-2-2-2-2-2-2222222222222-2-2-2-222-2-2000000000000000000000000
χ7322-222-2-2-22222-2-20000-2-2002-200002-22-200000000000000000000-2-22-2-2222-2-2-2-22200002200-220000-22-2200000000000000000000
χ7422-222-2-2-22222-2-20000-2-2002-20000-22-2200000000000000000000-2-22-2-2222-2-2-2-22200002200-2200002-22-200000000000000000000
χ7522-222-2-2-222-2-2220000-2-200-2200002-2-2200000000000000000000-2-22-2-2222-2-222-2-2000022002-20000-222-200000000000000000000
χ7622-222-2-2-222-2-2220000-2-200-220000-222-200000000000000000000-2-22-2-2222-2-222-2-2000022002-200002-2-2200000000000000000000
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χ7822-222-2-2-2-2-222-2-200002200-2200000000−2i2i0000−2i2i000000000000-2-22-2-222222-2-2220000-2-2002-2000000002i−2i00002i−2i000000000000
χ7922-222-2-2-2-2-2-2-222000022002-2000000002i−2i0000−2i2i000000000000-2-22-2-22222222-2-20000-2-200-2200000000−2i2i00002i−2i000000000000
χ8022-222-2-2-2-2-2-2-222000022002-200000000−2i2i00002i−2i000000000000-2-22-2-22222222-2-20000-2-200-22000000002i−2i0000−2i2i000000000000
χ8122-2-2-22-222-200002i2i−2i−2i2-22i−2i000000000000002i−2i002-20000000000-2-2222-22-2-220000−2i−2i2i2i-22−2i2i00000000000000−2i2i00-220000000000
χ8222-2-2-22-222-200002i2i−2i−2i2-22i−2i00000000000000−2i2i00-220000000000-2-2222-22-2-220000−2i−2i2i2i-22−2i2i000000000000002i−2i002-20000000000
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χ8422-2-2-22-222-20000−2i−2i2i2i2-2−2i2i00000000000000−2i2i002-20000000000-2-2222-22-2-2200002i2i−2i−2i-222i−2i000000000000002i−2i00-220000000000
χ8522-2-2-22-22-2200002i2i−2i−2i-22−2i2i0000000000002i−2i0000002-200000000-2-2222-22-22-20000−2i−2i2i2i2-22i−2i000000000000−2i2i000000-2200000000
χ8622-2-2-22-22-2200002i2i−2i−2i-22−2i2i000000000000−2i2i000000-2200000000-2-2222-22-22-20000−2i−2i2i2i2-22i−2i0000000000002i−2i0000002-200000000
χ8722-2-2-22-22-220000−2i−2i2i2i-222i−2i0000000000002i−2i000000-2200000000-2-2222-22-22-200002i2i−2i−2i2-2−2i2i000000000000−2i2i0000002-200000000
χ8822-2-2-22-22-220000−2i−2i2i2i-222i−2i000000000000−2i2i0000002-200000000-2-2222-22-22-200002i2i−2i−2i2-2−2i2i0000000000002i−2i000000-2200000000
χ892-222-2-2-22002i−2i2i−2i2i−2i2i−2i000000002-20000000000000000i2−i22−22−2i2−i2-22-2-2222-200−2i2i−2i2i−2i2i−2i2i00000000-220000000000000000−i2i2−22−22−i2i2
χ902-222-2-2-22002i−2i2i−2i2i−2i2i−2i000000002-20000000000000000−i2i2−22−22−i2i2-22-2-2222-200−2i2i−2i2i−2i2i−2i2i00000000-220000000000000000i2−i22−22−2i2−i2
χ912-222-2-2-22002i−2i2i−2i−2i2i−2i2i00000000-220000000000000000i2−i22−2−22−i2i2-22-2-2222-200−2i2i−2i2i2i−2i2i−2i000000002-20000000000000000−i2i2−222−2i2−i2
χ922-222-2-2-22002i−2i2i−2i−2i2i−2i2i00000000-220000000000000000−i2i2−222−2i2−i2-22-2-2222-200−2i2i−2i2i2i−2i2i−2i000000002-20000000000000000i2−i22−2−22−i2i2
χ932-222-2-2-2200−2i2i−2i2i2i−2i2i−2i00000000-220000000000000000i2−i2−222−2−i2i2-22-2-2222-2002i−2i2i−2i−2i2i−2i2i000000002-20000000000000000−i2i22−2−22i2−i2
χ942-222-2-2-2200−2i2i−2i2i2i−2i2i−2i00000000-220000000000000000−i2i22−2−22i2−i2-22-2-2222-2002i−2i2i−2i−2i2i−2i2i000000002-20000000000000000i2−i2−222−2−i2i2
χ952-222-2-2-2200−2i2i−2i2i−2i2i−2i2i000000002-20000000000000000i2−i2−22−22i2−i2-22-2-2222-2002i−2i2i−2i2i−2i2i−2i00000000-220000000000000000−i2i22−22−2−i2i2
χ962-222-2-2-2200−2i2i−2i2i−2i2i−2i2i000000002-20000000000000000−i2i22−22−2−i2i2-22-2-2222-2002i−2i2i−2i2i−2i2i−2i00000000-220000000000000000i2−i2−22−22i2−i2
χ97444-4-4-44-44-400000000-4400000000000000000000000000000000-4-4-4444-44-44000000004-400000000000000000000000000000000
χ98444-4-4-44-4-44000000004-400000000000000000000000000000000-4-4-4444-444-400000000-4400000000000000000000000000000000
χ994-44-444-4-400000000000000004-400000000000000000000000000-44-44-4-4440000000000000000-4400000000000000000000000000
χ1004-44-444-4-40000000000000000-4400000000000000000000000000-44-44-4-44400000000000000004-400000000000000000000000000
χ1014-4-44-444-4004i−4i−4i4i00000000000000000000000000000000000000-444-44-4-4400−4i4i4i−4i00000000000000000000000000000000000000
χ1024-4-44-444-400−4i4i4i−4i00000000000000000000000000000000000000-444-44-4-44004i−4i−4i4i00000000000000000000000000000000000000
χ1034-4-4-44-4440000004-4-440000000000000000000000000000000000-4444-44-4-4000000-444-40000000000000000000000000000000000
χ1044-4-4-44-444000000-444-40000000000000000000000000000000000-4444-44-4-40000004-4-440000000000000000000000000000000000

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