Finite Group Databasebeta

← Group #6629666

Character table — Group #6629666

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111111122224444444444444444444444444444888888881616161611111111222244444444444444444444444444448888888816161616
order12222222444422444444444444444444444444448888888822442222222244442244444444444444444444444444888888882244
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
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ61111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1
χ9111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ12111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ13111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ14111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ1722222222-2-2-2-222-2-222-2-222-2-2000000000000000000000000000022222222-2-2-2-222-2-222-2-222-2-20000000000000000000000000000
χ1822222222-2-2-2-222-2-2-2-222-2-222000000000000000000000000000022222222-2-2-2-222-2-2-2-222-2-2220000000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-2-2-222000000000000000000000000000022222222-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000000
χ2022222222-2-2-2-2-2-222-2-22222-2-2000000000000000000000000000022222222-2-2-2-2-2-222-2-22222-2-20000000000000000000000000000
χ212222-2-2-2-22-22-2000000002i−2i2i−2i000022-2-22i2i−2i−2i00000000000000002222-2-2-2-22-22-2000000002i−2i2i−2i000022-2-22i2i−2i−2i0000000000000000
χ222222-2-2-2-22-22-2000000002i−2i2i−2i0000-2-222−2i−2i2i2i00000000000000002222-2-2-2-22-22-2000000002i−2i2i−2i0000-2-222−2i−2i2i2i0000000000000000
χ232222-2-2-2-22-22-200000000−2i2i−2i2i000022-2-2−2i−2i2i2i00000000000000002222-2-2-2-22-22-200000000−2i2i−2i2i000022-2-2−2i−2i2i2i0000000000000000
χ242222-2-2-2-22-22-200000000−2i2i−2i2i0000-2-2222i2i−2i−2i00000000000000002222-2-2-2-22-22-200000000−2i2i−2i2i0000-2-2222i2i−2i−2i0000000000000000
χ252222-2-2-2-2-22-22000000002i−2i−2i2i22-2-2000000002i2i−2i−2i0000000000002222-2-2-2-2-22-22000000002i−2i−2i2i22-2-2000000002i2i−2i−2i000000000000
χ262222-2-2-2-2-22-22000000002i−2i−2i2i-2-22200000000−2i−2i2i2i0000000000002222-2-2-2-2-22-22000000002i−2i−2i2i-2-22200000000−2i−2i2i2i000000000000
χ272222-2-2-2-2-22-2200000000−2i2i2i−2i22-2-200000000−2i−2i2i2i0000000000002222-2-2-2-2-22-2200000000−2i2i2i−2i22-2-200000000−2i−2i2i2i000000000000
χ282222-2-2-2-2-22-2200000000−2i2i2i−2i-2-222000000002i2i−2i−2i0000000000002222-2-2-2-2-22-2200000000−2i2i2i−2i-2-222000000002i2i−2i−2i000000000000
χ2922-2-222-2-22-2-2200002-22-2000000002i−2i2i−2i00002i−2i2i−2i00000000000022-2-222-2-22-2-2200002-22-2000000002i−2i2i−2i00002i−2i2i−2i000000000000
χ3022-2-222-2-22-2-2200002-22-200000000−2i2i−2i2i0000−2i2i−2i2i00000000000022-2-222-2-22-2-2200002-22-200000000−2i2i−2i2i0000−2i2i−2i2i000000000000
χ3122-2-222-2-22-2-220000-22-22000000002i−2i2i−2i0000−2i2i−2i2i00000000000022-2-222-2-22-2-220000-22-22000000002i−2i2i−2i0000−2i2i−2i2i000000000000
χ3222-2-222-2-22-2-220000-22-2200000000−2i2i−2i2i00002i−2i2i−2i00000000000022-2-222-2-22-2-220000-22-2200000000−2i2i−2i2i00002i−2i2i−2i000000000000
χ3322-2-222-2-2-222-200002-2-2200002i−2i2i−2i00002i−2i2i−2i000000000000000022-2-222-2-2-222-200002-2-2200002i−2i2i−2i00002i−2i2i−2i0000000000000000
χ3422-2-222-2-2-222-200002-2-220000−2i2i−2i2i0000−2i2i−2i2i000000000000000022-2-222-2-2-222-200002-2-220000−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ3522-2-222-2-2-222-20000-222-200002i−2i2i−2i0000−2i2i−2i2i000000000000000022-2-222-2-2-222-20000-222-200002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ3622-2-222-2-2-222-20000-222-20000−2i2i−2i2i00002i−2i2i−2i000000000000000022-2-222-2-2-222-20000-222-20000−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ3722-2-2-2-22222-2-22-22-2000000002i−2i−2i2i2i−2i−2i2i0000000000000000000022-2-2-2-22222-2-22-22-2000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ3822-2-2-2-22222-2-22-22-200000000−2i2i2i−2i−2i2i2i−2i0000000000000000000022-2-2-2-22222-2-22-22-200000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ3922-2-2-2-22222-2-2-22-22000000002i−2i−2i2i−2i2i2i−2i0000000000000000000022-2-2-2-22222-2-2-22-22000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ4022-2-2-2-22222-2-2-22-2200000000−2i2i2i−2i2i−2i−2i2i0000000000000000000022-2-2-2-22222-2-2-22-2200000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
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
χ454-44-44-44-4000000000000000000000000000000000000002i2−2i200004-44-44-44-4000000000000000000000000000000000000002i2−2i20000
χ464-44-44-44-400000000000000000000000000000000000000−2i22i200004-44-44-44-400000000000000000000000000000000000000−2i22i20000
χ474-44-4-44-440000000000000000000000000000000022−2200000000004-44-4-44-440000000000000000000000000000000022−220000000000
χ484-44-4-44-4400000000000000000000000000000000−222200000000004-44-4-44-4400000000000000000000000000000000−22220000000000
χ494-4-444-4-44000000000000000000000000000000000022−22000000004-4-444-4-44000000000000000000000000000000000022−2200000000
χ504-4-444-4-440000000000000000000000000000000000−2222000000004-4-444-4-440000000000000000000000000000000000−222200000000
χ514-4-44-444-40000000000000000000000000000000000002i2−2i20000004-4-44-444-40000000000000000000000000000000000002i2−2i2000000
χ524-4-44-444-4000000000000000000000000000000000000−2i22i20000004-4-44-444-4000000000000000000000000000000000000−2i22i2000000
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
χ55111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ56111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1
χ571111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-11
χ581111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-1
χ591111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1
χ601111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11
χ61111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111
χ62111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1
χ63111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ64111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111
χ65111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-111-1
χ66111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111-1-11
χ67111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-11
χ68111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1
χ6922222222-2-2-2-222-2-222-2-222-2-20000000000000000000000000000-2-2-2-2-2-2-2-22222-2-222-2-222-2-2220000000000000000000000000000
χ7022222222-2-2-2-222-2-2-2-222-2-2220000000000000000000000000000-2-2-2-2-2-2-2-22222-2-22222-2-222-2-20000000000000000000000000000
χ7122222222-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000000-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-20000000000000000000000000000
χ7222222222-2-2-2-2-2-222-2-22222-2-20000000000000000000000000000-2-2-2-2-2-2-2-2222222-2-222-2-2-2-2220000000000000000000000000000
χ732222-2-2-2-22-22-2000000002i−2i2i−2i000022-2-22i2i−2i−2i0000000000000000-2-2-2-22222-22-2200000000−2i2i−2i2i0000-2-222−2i−2i2i2i0000000000000000
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χ752222-2-2-2-22-22-200000000−2i2i−2i2i000022-2-2−2i−2i2i2i0000000000000000-2-2-2-22222-22-22000000002i−2i2i−2i0000-2-2222i2i−2i−2i0000000000000000
χ762222-2-2-2-22-22-200000000−2i2i−2i2i0000-2-2222i2i−2i−2i0000000000000000-2-2-2-22222-22-22000000002i−2i2i−2i000022-2-2−2i−2i2i2i0000000000000000
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χ792222-2-2-2-2-22-2200000000−2i2i2i−2i22-2-200000000−2i−2i2i2i000000000000-2-2-2-222222-22-2000000002i−2i−2i2i-2-222000000002i2i−2i−2i000000000000
χ802222-2-2-2-2-22-2200000000−2i2i2i−2i-2-222000000002i2i−2i−2i000000000000-2-2-2-222222-22-2000000002i−2i−2i2i22-2-200000000−2i−2i2i2i000000000000
χ8122-2-222-2-22-2-2200002-22-2000000002i−2i2i−2i00002i−2i2i−2i000000000000-2-222-2-222-222-20000-22-2200000000−2i2i−2i2i0000−2i2i−2i2i000000000000
χ8222-2-222-2-22-2-2200002-22-200000000−2i2i−2i2i0000−2i2i−2i2i000000000000-2-222-2-222-222-20000-22-22000000002i−2i2i−2i00002i−2i2i−2i000000000000
χ8322-2-222-2-22-2-220000-22-22000000002i−2i2i−2i0000−2i2i−2i2i000000000000-2-222-2-222-222-200002-22-200000000−2i2i−2i2i00002i−2i2i−2i000000000000
χ8422-2-222-2-22-2-220000-22-2200000000−2i2i−2i2i00002i−2i2i−2i000000000000-2-222-2-222-222-200002-22-2000000002i−2i2i−2i0000−2i2i−2i2i000000000000
χ8522-2-222-2-2-222-200002-2-2200002i−2i2i−2i00002i−2i2i−2i0000000000000000-2-222-2-2222-2-220000-222-20000−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ8622-2-222-2-2-222-200002-2-220000−2i2i−2i2i0000−2i2i−2i2i0000000000000000-2-222-2-2222-2-220000-222-200002i−2i2i−2i00002i−2i2i−2i0000000000000000
χ8722-2-222-2-2-222-20000-222-200002i−2i2i−2i0000−2i2i−2i2i0000000000000000-2-222-2-2222-2-2200002-2-220000−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ8822-2-222-2-2-222-20000-222-20000−2i2i−2i2i00002i−2i2i−2i0000000000000000-2-222-2-2222-2-2200002-2-2200002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ8922-2-2-2-22222-2-22-22-2000000002i−2i−2i2i2i−2i−2i2i00000000000000000000-2-22222-2-2-2-222-22-2200000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ9022-2-2-2-22222-2-22-22-200000000−2i2i2i−2i−2i2i2i−2i00000000000000000000-2-22222-2-2-2-222-22-22000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ9122-2-2-2-22222-2-2-22-22000000002i−2i−2i2i−2i2i2i−2i00000000000000000000-2-22222-2-2-2-2222-22-200000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ9222-2-2-2-22222-2-2-22-2200000000−2i2i2i−2i2i−2i−2i2i00000000000000000000-2-22222-2-2-2-2222-22-2000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
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
χ974-44-44-44-4000000000000000000000000000000000000002i2−2i20000-44-44-44-4400000000000000000000000000000000000000−2i22i20000
χ984-44-44-44-400000000000000000000000000000000000000−2i22i20000-44-44-44-44000000000000000000000000000000000000002i2−2i20000
χ994-44-4-44-440000000000000000000000000000000022−220000000000-44-444-44-400000000000000000000000000000000−22220000000000
χ1004-44-4-44-4400000000000000000000000000000000−22220000000000-44-444-44-40000000000000000000000000000000022−220000000000
χ1014-4-444-4-44000000000000000000000000000000000022−2200000000-444-4-444-40000000000000000000000000000000000−222200000000
χ1024-4-444-4-440000000000000000000000000000000000−222200000000-444-4-444-4000000000000000000000000000000000022−2200000000
χ1034-4-44-444-40000000000000000000000000000000000002i2−2i2000000-444-44-4-44000000000000000000000000000000000000−2i22i2000000
χ1044-4-44-444-4000000000000000000000000000000000000−2i22i2000000-444-44-4-440000000000000000000000000000000000002i2−2i2000000

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