Finite Group Databasebeta

← Group #6629419

Character table — Group #6629419

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111111122224444444444444444444444444444888888881616161611111111222244444444444444444444444444448888888816161616
order12222222444422224444444444444444444444448888888822442222222244442222444444444444444444444444888888882244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ4111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ51111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11-1-111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11-1-11
χ61111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-111-11111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-111-1
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111
χ9111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ10111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ11111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11
χ12111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1
χ13111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1
χ14111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1111-1-11111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1111-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-111
χ16111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-111-1-1
χ1722222222-2-2-2-200002222-2-20000-2-20000-2-222000000000000000022222222-2-2-2-200002222-2-20000-2-20000-2-2220000000000000000
χ1822222222-2-2-2-2000022-2-2-2-2000022000022-2-2000000000000000022222222-2-2-2-2000022-2-2-2-2000022000022-2-20000000000000000
χ1922222222-2-2-2-20000-2-222220000-2-2000022-2-2000000000000000022222222-2-2-2-20000-2-222220000-2-2000022-2-20000000000000000
χ2022222222-2-2-2-20000-2-2-2-2220000220000-2-222000000000000000022222222-2-2-2-20000-2-2-2-2220000220000-2-2220000000000000000
χ21222-22-2-2-22-22-20000002i−2i0022-2-22i−2i000000002i2i−2i−2i000000000000222-22-2-2-22-22-20000002i−2i0022-2-22i−2i000000002i2i−2i−2i000000000000
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χ25222-22-2-2-2-22-2222-2-2002i−2i000000−2i2i2i2i−2i−2i00000000000000000000222-22-2-2-2-22-2222-2-2002i−2i000000−2i2i2i2i−2i−2i00000000000000000000
χ26222-22-2-2-2-22-2222-2-200−2i2i0000002i−2i−2i−2i2i2i00000000000000000000222-22-2-2-2-22-2222-2-200−2i2i0000002i−2i−2i−2i2i2i00000000000000000000
χ27222-22-2-2-2-22-22-2-222002i−2i000000−2i2i−2i−2i2i2i00000000000000000000222-22-2-2-2-22-22-2-222002i−2i000000−2i2i−2i−2i2i2i00000000000000000000
χ28222-22-2-2-2-22-22-2-22200−2i2i0000002i−2i2i2i−2i−2i00000000000000000000222-22-2-2-2-22-22-2-22200−2i2i0000002i−2i2i2i−2i−2i00000000000000000000
χ2922-22-22-2-22-2-222-22-22i−2i002i−2i2i−2i2i−2i0000000000000000000000000022-22-22-2-22-2-222-22-22i−2i002i−2i2i−2i2i−2i00000000000000000000000000
χ3022-22-22-2-22-2-222-22-2−2i2i00−2i2i−2i2i−2i2i0000000000000000000000000022-22-22-2-22-2-222-22-2−2i2i00−2i2i−2i2i−2i2i00000000000000000000000000
χ3122-22-22-2-22-2-22-22-222i−2i002i−2i−2i2i−2i2i0000000000000000000000000022-22-22-2-22-2-22-22-222i−2i002i−2i−2i2i−2i2i00000000000000000000000000
χ3222-22-22-2-22-2-22-22-22−2i2i00−2i2i2i−2i2i−2i0000000000000000000000000022-22-22-2-22-2-22-22-22−2i2i00−2i2i2i−2i2i−2i00000000000000000000000000
χ3322-22-22-2-2-222-200002i−2i00−2i2i0000002-22-200002i−2i2i−2i00000000000022-22-22-2-2-222-200002i−2i00−2i2i0000002-22-200002i−2i2i−2i000000000000
χ3422-22-22-2-2-222-200002i−2i00−2i2i000000-22-220000−2i2i−2i2i00000000000022-22-22-2-2-222-200002i−2i00−2i2i000000-22-220000−2i2i−2i2i000000000000
χ3522-22-22-2-2-222-20000−2i2i002i−2i0000002-22-20000−2i2i−2i2i00000000000022-22-22-2-2-222-20000−2i2i002i−2i0000002-22-20000−2i2i−2i2i000000000000
χ3622-22-22-2-2-222-20000−2i2i002i−2i000000-22-2200002i−2i2i−2i00000000000022-22-22-2-2-222-20000−2i2i002i−2i000000-22-2200002i−2i2i−2i000000000000
χ3722-2-2-2-22222-2-200000000002i−2i−2i2i002i−2i−2i2i2-22-2000000000000000022-2-2-2-22222-2-200000000002i−2i−2i2i002i−2i−2i2i2-22-20000000000000000
χ3822-2-2-2-22222-2-200000000002i−2i−2i2i00−2i2i2i−2i-22-22000000000000000022-2-2-2-22222-2-200000000002i−2i−2i2i00−2i2i2i−2i-22-220000000000000000
χ3922-2-2-2-22222-2-20000000000−2i2i2i−2i002i−2i−2i2i-22-22000000000000000022-2-2-2-22222-2-20000000000−2i2i2i−2i002i−2i−2i2i-22-220000000000000000
χ4022-2-2-2-22222-2-20000000000−2i2i2i−2i00−2i2i2i−2i2-22-2000000000000000022-2-2-2-22222-2-20000000000−2i2i2i−2i00−2i2i2i−2i2-22-20000000000000000
χ4122-2-2-2-222-2-2222-2-2200000000000000002-2-222-2-2200000000000022-2-2-2-222-2-2222-2-2200000000000000002-2-222-2-22000000000000
χ4222-2-2-2-222-2-2222-2-220000000000000000-222-2-222-200000000000022-2-2-2-222-2-2222-2-220000000000000000-222-2-222-2000000000000
χ4322-2-2-2-222-2-222-222-200000000000000002-2-22-222-200000000000022-2-2-2-222-2-222-222-200000000000000002-2-22-222-2000000000000
χ4422-2-2-2-222-2-222-222-20000000000000000-222-22-2-2200000000000022-2-2-2-222-2-222-222-20000000000000000-222-22-2-22000000000000
χ454-444-4-44-40000000000000000000000000000000000002i2−2i20000004-444-4-44-40000000000000000000000000000000000002i2−2i2000000
χ464-444-4-44-4000000000000000000000000000000000000−2i22i20000004-444-4-44-4000000000000000000000000000000000000−2i22i2000000
χ474-44-4-44-440000000000000000000000000000000022−2200000000004-44-4-44-440000000000000000000000000000000022−220000000000
χ484-44-4-44-4400000000000000000000000000000000−222200000000004-44-4-44-4400000000000000000000000000000000−22220000000000
χ494-4-444-4-440000000000000000000000000000000000000022−2200004-4-444-4-440000000000000000000000000000000000000022−220000
χ504-4-444-4-4400000000000000000000000000000000000000−222200004-4-444-4-4400000000000000000000000000000000000000−22220000
χ514-4-4-4444-4000000000000000000000000000000000022−22000000004-4-4-4444-4000000000000000000000000000000000022−2200000000
χ524-4-4-4444-40000000000000000000000000000000000−2222000000004-4-4-4444-40000000000000000000000000000000000−222200000000
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
χ541111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ55111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-11111-11-11
χ56111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-11-11-1
χ571111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-111-1-111-111-1
χ581111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111111111-1-111-1-11-1-11
χ591111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ601111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ62111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1
χ63111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1
χ64111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11
χ65111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111-1-11
χ66111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1
χ67111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1
χ68111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ6922222222-2-2-2-200002222-2-20000-2-20000-2-2220000000000000000-2-2-2-2-2-2-2-222220000-2-2-2-222000022000022-2-20000000000000000
χ7022222222-2-2-2-2000022-2-2-2-2000022000022-2-20000000000000000-2-2-2-2-2-2-2-222220000-2-222220000-2-20000-2-2220000000000000000
χ7122222222-2-2-2-20000-2-222220000-2-2000022-2-20000000000000000-2-2-2-2-2-2-2-22222000022-2-2-2-20000220000-2-2220000000000000000
χ7222222222-2-2-2-20000-2-2-2-2220000220000-2-2220000000000000000-2-2-2-2-2-2-2-2222200002222-2-20000-2-2000022-2-20000000000000000
χ73222-22-2-2-22-22-20000002i−2i0022-2-22i−2i000000002i2i−2i−2i000000000000-2-2-22-2222-22-22000000−2i2i00-2-222−2i2i00000000−2i−2i2i2i000000000000
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χ77222-22-2-2-2-22-2222-2-2002i−2i000000−2i2i2i2i−2i−2i00000000000000000000-2-2-22-22222-22-2-2-22200−2i2i0000002i−2i−2i−2i2i2i00000000000000000000
χ78222-22-2-2-2-22-2222-2-200−2i2i0000002i−2i−2i−2i2i2i00000000000000000000-2-2-22-22222-22-2-2-222002i−2i000000−2i2i2i2i−2i−2i00000000000000000000
χ79222-22-2-2-2-22-22-2-222002i−2i000000−2i2i−2i−2i2i2i00000000000000000000-2-2-22-22222-22-222-2-200−2i2i0000002i−2i2i2i−2i−2i00000000000000000000
χ80222-22-2-2-2-22-22-2-22200−2i2i0000002i−2i2i2i−2i−2i00000000000000000000-2-2-22-22222-22-222-2-2002i−2i000000−2i2i−2i−2i2i2i00000000000000000000
χ8122-22-22-2-22-2-222-22-22i−2i002i−2i2i−2i2i−2i00000000000000000000000000-2-22-22-222-222-2-22-22−2i2i00−2i2i−2i2i−2i2i00000000000000000000000000
χ8222-22-22-2-22-2-222-22-2−2i2i00−2i2i−2i2i−2i2i00000000000000000000000000-2-22-22-222-222-2-22-222i−2i002i−2i2i−2i2i−2i00000000000000000000000000
χ8322-22-22-2-22-2-22-22-222i−2i002i−2i−2i2i−2i2i00000000000000000000000000-2-22-22-222-222-22-22-2−2i2i00−2i2i2i−2i2i−2i00000000000000000000000000
χ8422-22-22-2-22-2-22-22-22−2i2i00−2i2i2i−2i2i−2i00000000000000000000000000-2-22-22-222-222-22-22-22i−2i002i−2i−2i2i−2i2i00000000000000000000000000
χ8522-22-22-2-2-222-200002i−2i00−2i2i0000002-22-200002i−2i2i−2i000000000000-2-22-22-2222-2-220000−2i2i002i−2i000000-22-220000−2i2i−2i2i000000000000
χ8622-22-22-2-2-222-200002i−2i00−2i2i000000-22-220000−2i2i−2i2i000000000000-2-22-22-2222-2-220000−2i2i002i−2i0000002-22-200002i−2i2i−2i000000000000
χ8722-22-22-2-2-222-20000−2i2i002i−2i0000002-22-20000−2i2i−2i2i000000000000-2-22-22-2222-2-2200002i−2i00−2i2i000000-22-2200002i−2i2i−2i000000000000
χ8822-22-22-2-2-222-20000−2i2i002i−2i000000-22-2200002i−2i2i−2i000000000000-2-22-22-2222-2-2200002i−2i00−2i2i0000002-22-20000−2i2i−2i2i000000000000
χ8922-2-2-2-22222-2-200000000002i−2i−2i2i002i−2i−2i2i2-22-20000000000000000-2-22222-2-2-2-2220000000000−2i2i2i−2i00−2i2i2i−2i-22-220000000000000000
χ9022-2-2-2-22222-2-200000000002i−2i−2i2i00−2i2i2i−2i-22-220000000000000000-2-22222-2-2-2-2220000000000−2i2i2i−2i002i−2i−2i2i2-22-20000000000000000
χ9122-2-2-2-22222-2-20000000000−2i2i2i−2i002i−2i−2i2i-22-220000000000000000-2-22222-2-2-2-22200000000002i−2i−2i2i00−2i2i2i−2i2-22-20000000000000000
χ9222-2-2-2-22222-2-20000000000−2i2i2i−2i00−2i2i2i−2i2-22-20000000000000000-2-22222-2-2-2-22200000000002i−2i−2i2i002i−2i−2i2i-22-220000000000000000
χ9322-2-2-2-222-2-2222-2-2200000000000000002-2-222-2-22000000000000-2-22222-2-222-2-2-222-20000000000000000-222-2-222-2000000000000
χ9422-2-2-2-222-2-2222-2-220000000000000000-222-2-222-2000000000000-2-22222-2-222-2-2-222-200000000000000002-2-222-2-22000000000000
χ9522-2-2-2-222-2-222-222-200000000000000002-2-22-222-2000000000000-2-22222-2-222-2-22-2-220000000000000000-222-22-2-22000000000000
χ9622-2-2-2-222-2-222-222-20000000000000000-222-22-2-22000000000000-2-22222-2-222-2-22-2-2200000000000000002-2-22-222-2000000000000
χ974-444-4-44-40000000000000000000000000000000000002i2−2i2000000-44-4-444-44000000000000000000000000000000000000−2i22i2000000
χ984-444-4-44-4000000000000000000000000000000000000−2i22i2000000-44-4-444-440000000000000000000000000000000000002i2−2i2000000
χ994-44-4-44-440000000000000000000000000000000022−220000000000-44-444-44-400000000000000000000000000000000−22220000000000
χ1004-44-4-44-4400000000000000000000000000000000−22220000000000-44-444-44-40000000000000000000000000000000022−220000000000
χ1014-4-444-4-440000000000000000000000000000000000000022−220000-444-4-444-400000000000000000000000000000000000000−22220000
χ1024-4-444-4-4400000000000000000000000000000000000000−22220000-444-4-444-40000000000000000000000000000000000000022−220000
χ1034-4-4-4444-4000000000000000000000000000000000022−2200000000-4444-4-4-440000000000000000000000000000000000−222200000000
χ1044-4-4-4444-40000000000000000000000000000000000−222200000000-4444-4-4-44000000000000000000000000000000000022−2200000000

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