Finite Group Databasebeta

← Group #72262687

Character table — Group #72262687

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11112222224444444444444444888888888888888888888888888888161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222222222444444444444222222444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-111-1-1
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ911111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1011111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1211111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ1311111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1411111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1511111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ1611111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1
χ171-1-111-1-11-1111-1-11111-1-1-1-111-1-111-111-1-11111-1-1-1-11-1-11-11111-1-1-1-11-111-1-11-1ii−i−i1-111-1-111-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−iii−i−iii−i−iii−i−i1-1i−i1-1i−i
χ181-1-111-1-11-1111-1-11111-1-1-1-111-1-111-111-1-11111-1-1-1-11-1-11-11111-1-1-1-11-111-1-11-1−i−iii1-111-1-111-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii−i−iii−i−iii−i−iii1-1−ii1-1−ii
χ191-1-111-1-11-1111-1-11111-1-1-1-111-1-111-111-1-11111-1-1-1-11-1-11-11111-1-1-1-11-111-1-1-11ii−i−i-1111-1-111-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i−i−iii−i−iii−i−iii-11i−i-11i−i
χ201-1-111-1-11-1111-1-11111-1-1-1-111-1-111-111-1-11111-1-1-1-11-1-11-11111-1-1-1-11-111-1-1-11−i−iii-1111-1-111-1-1iiii−i−i−i−i-11−ii-1-111−i−iiiii−i−iii−i−iii−i−i-11−ii-11−ii
χ211-1-111-1-11-1111-1-11111-1-1-1-111-1-111-111-1-1-1-1-1-111111-1-11-1-1-1-1-111111-1-1-1111-1ii−i−i1-111-1-1-1-111iiii−i−i−i−i1-1i−i11-1-1ii−i−iii−i−i−i−iii−i−iii-11−ii-11−ii
χ221-1-111-1-11-1111-1-11111-1-1-1-111-1-111-111-1-1-1-1-1-111111-1-11-1-1-1-1-111111-1-1-1111-1−i−iii1-111-1-1-1-111−i−i−i−iiiii1-1−ii11-1-1−i−iii−i−iiiii−i−iii−i−i-11i−i-11i−i
χ231-1-111-1-11-1111-1-11111-1-1-1-111-1-111-111-1-1-1-1-1-111111-1-11-1-1-1-1-111111-1-1-111-11ii−i−i-1111-1-1-1-111−i−i−i−iiiii-11i−i-1-111ii−i−i−i−iiiii−i−iii−i−i1-1−ii1-1−ii
χ241-1-111-1-11-1111-1-11111-1-1-1-111-1-111-111-1-1-1-1-1-111111-1-11-1-1-1-1-111111-1-1-111-11−i−iii-1111-1-1-1-111iiii−i−i−i−i-11−ii-1-111−i−iiiii−i−i−i−iii−i−iii1-1i−i1-1i−i
χ251-1-111-1-11-1111-1-1-1-1-1-1111111-1-111-1-1-1111111-1-1-1-11-1-11-1-1-1-1-111111-1-1-1111-1ii−i−i1-1-1-11111-1-1−i−i−i−iiiii1-1i−i-1-111−i−iiiii−i−iii−i−i−i−iii1-1i−i-11−ii
χ261-1-111-1-11-1111-1-1-1-1-1-1111111-1-111-1-1-1111111-1-1-1-11-1-11-1-1-1-1-111111-1-1-1111-1−i−iii1-1-1-11111-1-1iiii−i−i−i−i1-1−ii-1-111ii−i−i−i−iii−i−iiiii−i−i1-1−ii-11i−i
χ271-1-111-1-11-1111-1-1-1-1-1-1111111-1-111-1-1-1111111-1-1-1-11-1-11-1-1-1-1-111111-1-1-111-11ii−i−i-11-1-11111-1-1iiii−i−i−i−i-11i−i11-1-1−i−iii−i−iii−i−iiiii−i−i-11i−i1-1−ii
χ281-1-111-1-11-1111-1-1-1-1-1-1111111-1-111-1-1-1111111-1-1-1-11-1-11-1-1-1-1-111111-1-1-111-11−i−iii-11-1-11111-1-1−i−i−i−iiiii-11−ii11-1-1ii−i−iii−i−iii−i−i−i−iii-11−ii1-1i−i
χ291-1-111-1-11-1111-1-1-1-1-1-1111111-1-111-1-1-111-1-1-1-111111-1-11-11111-1-1-1-11-111-1-11-1ii−i−i1-1-1-111-1-111−i−i−i−iiiii1-1i−i-1-111−i−iiiii−i−i−i−iiiii−i−i-11−ii1-1i−i
χ301-1-111-1-11-1111-1-1-1-1-1-1111111-1-111-1-1-111-1-1-1-111111-1-11-11111-1-1-1-11-111-1-11-1−i−iii1-1-1-111-1-111iiii−i−i−i−i1-1−ii-1-111ii−i−i−i−iiiii−i−i−i−iii-11i−i1-1−ii
χ311-1-111-1-11-1111-1-1-1-1-1-1111111-1-111-1-1-111-1-1-1-111111-1-11-11111-1-1-1-11-111-1-1-11ii−i−i-11-1-111-1-111iiii−i−i−i−i-11i−i11-1-1−i−iii−i−iiiii−i−i−i−iii1-1−ii-11i−i
χ321-1-111-1-11-1111-1-1-1-1-1-1111111-1-111-1-1-111-1-1-1-111111-1-11-11111-1-1-1-11-111-1-1-11−i−iii-11-1-111-1-111−i−i−i−iiiii-11−ii11-1-1ii−i−iii−i−i−i−iiiii−i−i1-1i−i-11−ii
χ332222222222222200000000-2-2-2-22-2200002222222222-2-2-200000000-2-20000000000000000-2-2-2-22i2i−2i−2i2i2i−2i−2i000000000000000000002i−2i2i−2i00000000
χ342222222222222200000000-2-2-2-22-2200002222222222-2-2-200000000-2-20000000000000000-2-2-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000−2i2i−2i2i00000000
χ352222222222222200000000-2-2-2-22-220000-2-2-2-2-2-2-2-222-2-2-200000000-2-2000000000000000022222i2i−2i−2i2i2i−2i−2i00000000000000000000−2i2i−2i2i00000000
χ362222222222222200000000-2-2-2-22-220000-2-2-2-2-2-2-2-222-2-2-200000000-2-200000000000000002222−2i−2i2i2i−2i−2i2i2i000000000000000000002i−2i2i−2i00000000
χ372222222222222200000000-2-2-2-2-2-2-2000000000000-2-2-2222222222222-2-2-2-200000000000000002i−2i2i−2i2i−2i2i−2i00000000000000002i−2i2i−2i000000000000
χ382222222222222200000000-2-2-2-2-2-2-2000000000000-2-2-2222222222222-2-2-2-20000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i000000000000
χ392222222222222200000000-2-2-2-2-2-2-2000000000000-2-2-222-2-2-2-2-2-2-2-222222200000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000−2i2i−2i2i000000000000
χ402222222222222200000000-2-2-2-2-2-2-2000000000000-2-2-222-2-2-2-2-2-2-2-22222220000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000002i−2i2i−2i000000000000
χ4122222222222222222222222222-22-2222200000000-2-22-2-200000000-2-2000000000000-2-2-2-200002-2-222-2-220000000000002-22-20000000000000000
χ4222222222222222222222222222-22-2222200000000-2-22-2-200000000-2-2000000000000-2-2-2-20000-222-2-222-2000000000000-22-220000000000000000
χ4322222222222222-2-2-2-2-2-2-2-22222-22-2-2-2-2-200000000-2-22-2-200000000-2-2000000000000222200002-2-222-2-22000000000000-22-220000000000000000
χ4422222222222222-2-2-2-2-2-2-2-22222-22-2-2-2-2-200000000-2-22-2-200000000-2-200000000000022220000-222-2-222-20000000000002-22-20000000000000000
χ452222222222-2-2-2-222-2-222-2-222222-2-22-22-200000000-22-22-200000000-220000002222002-22-200000000000000-2-200002-22-200000000000000000000
χ462222222222-2-2-2-222-2-222-2-222222-2-22-22-200000000-22-22-200000000-22000000-2-2-2-2002-22-200000000000000220000-22-2200000000000000000000
χ472222222222-2-2-2-222-2-222-2-22222-2-222-22-2000000002-2-2-22000000002-2000022000022-22-22000000000000-2-2002-22-2000000000000000000000000
χ482222222222-2-2-2-222-2-222-2-22222-2-222-22-2000000002-2-2-22000000002-20000-2-20000-2-2-22-220000000000002200-22-22000000000000000000000000
χ492222222222-2-2-2-2-2-222-2-22222222-2-2-22-2200000000-22-22-200000000-22000000222200-22-2200000000000000-2-20000-22-2200000000000000000000
χ502222222222-2-2-2-2-2-222-2-22222222-2-2-22-2200000000-22-22-200000000-22000000-2-2-2-200-22-22000000000000002200002-22-200000000000000000000
χ512222222222-2-2-2-2-2-222-2-2222222-2-22-22-22000000002-2-2-22000000002-20000220000222-22-2000000000000-2-200-22-22000000000000000000000000
χ522222222222-2-2-2-2-2-222-2-2222222-2-22-22-22000000002-2-2-22000000002-20000-2-20000-2-22-22-200000000000022002-22-2000000000000000000000000
χ532-2-222-2-22-2222-2-200000000-2-2222-2-200002222-2-2-2-22-22-2200000000-220000000000000000-2-22222-2-2-2-222000000000000000000002-2-2200000000
χ542-2-222-2-22-2222-2-200000000-2-2222-2-200002222-2-2-2-22-22-2200000000-220000000000000000-2-222-2-22222-2-200000000000000000000-222-200000000
χ552-2-222-2-22-2222-2-200000000-2-2222-2-20000-2-2-2-222222-22-2200000000-22000000000000000022-2-222-2-2-2-22200000000000000000000-222-200000000
χ562-2-222-2-22-2222-2-200000000-2-2222-2-20000-2-2-2-222222-22-2200000000-22000000000000000022-2-2-2-22222-2-2000000000000000000002-2-2200000000
χ572-2-222-2-22-2222-2-200000000-2-222-2-22000000000000-2222-22222-2-2-2-22-2-2-22200000000000000002-22-2-22-2200000000000000002-2-22000000000000
χ582-2-222-2-22-2222-2-200000000-2-222-2-22000000000000-2222-22222-2-2-2-22-2-2-2220000000000000000-22-222-22-20000000000000000-222-2000000000000
χ592-2-222-2-22-2222-2-200000000-2-222-2-22000000000000-2222-2-2-2-2-222222-222-2-200000000000000002-22-2-22-220000000000000000-222-2000000000000
χ602-2-222-2-22-2222-2-200000000-2-222-2-22000000000000-2222-2-2-2-2-222222-222-2-20000000000000000-22-222-22-200000000000000002-2-22000000000000
χ612-2-222-2-22-2222-2-22222-2-2-2-222-2-2-22222-2-200000000-22-2-2200000000-22000000000000-2-22200002i−2i−2i2i−2i2i2i−2i0000000000002i−2i−2i2i0000000000000000
χ622-2-222-2-22-2222-2-22222-2-2-2-222-2-2-22222-2-200000000-22-2-2200000000-22000000000000-2-2220000−2i2i2i−2i2i−2i−2i2i000000000000−2i2i2i−2i0000000000000000
χ632-2-222-2-22-2222-2-2-2-2-2-2222222-2-2-222-2-22200000000-22-2-2200000000-2200000000000022-2-200002i−2i−2i2i−2i2i2i−2i000000000000−2i2i2i−2i0000000000000000
χ642-2-222-2-22-2222-2-2-2-2-2-2222222-2-2-222-2-22200000000-22-2-2200000000-2200000000000022-2-20000−2i2i2i−2i2i−2i−2i2i0000000000002i−2i−2i2i0000000000000000
χ652-2-222-2-22-22-2-22222-2-2-2-22222-2-22-222-2-2200000000-2-222200000000-2-20000002i2i−2i−2i002-2-2200000000000000−2i2i00002i−2i−2i2i00000000000000000000
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χ672-2-222-2-22-22-2-22222-2-2-2-22222-2-2-2-2-22-2-2200000000222-2-2000000002200002-200002-2-222-2000000000000-22002-2-22000000000000000000000000
χ682-2-222-2-22-22-2-22222-2-2-2-22222-2-2-2-2-22-2-2200000000222-2-200000000220000-220000-22-222-20000000000002-200-222-2000000000000000000000000
χ692-2-222-2-22-22-2-222-2-22222-2-222-2-22-22-222-200000000-2-222200000000-2-20000002i2i−2i−2i00-222-200000000000000−2i2i0000−2i2i2i−2i00000000000000000000
χ702-2-222-2-22-22-2-222-2-22222-2-222-2-22-22-222-200000000-2-222200000000-2-2000000−2i−2i2i2i00-222-2000000000000002i−2i00002i−2i−2i2i00000000000000000000
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χ722-2-222-2-22-22-2-222-2-22222-2-222-2-2-2-2-2-222-200000000222-2-200000000220000-220000-222-2-220000000000002-2002-2-22000000000000000000000000
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χ924-4-44-4-44-4440000-4-4004400-444-400040-40-2-22222-2-20000022-2-2-2-22200-222-20000000000002-2-220000000000000000000000000000000000000000
χ9388888-8-8-88-800000000000000000000000000000000000000000000000000004-44-400000000000000000000000000000000000000000000000000
χ9488888-8-8-88-80000000000000000000000000000000000000000000000000000-44-4400000000000000000000000000000000000000000000000000
χ958888-8-888-8-800000000000000000000000000000000000000000000000000440000-4-4000000000000000000000000000000000000000000000000
χ968888-8-888-8-800000000000000000000000000000000000000000000000000-4-4000044000000000000000000000000000000000000000000000000
χ9788-8-80000004-44-44-44-44-44-400000000000004-4004-400000004-4004-400000000000000000000000000000000000000000000000000000000000000
χ9888-8-80000004-44-44-44-44-44-40000000000000-4400-440000000-4400-4400000000000000000000000000000000000000000000000000000000000000
χ9988-8-80000004-44-4-44-44-44-4400000000000004-4004-40000000-4400-4400000000000000000000000000000000000000000000000000000000000000
χ10088-8-80000004-44-4-44-44-44-440000000000000-4400-4400000004-4004-400000000000000000000000000000000000000000000000000000000000000
χ10188-8-8000000-44-444-4-444-4-44000000000004-4004-400000004-4004-40000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8000000-44-444-4-444-4-4400000000000-4400-440000000-4400-440000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8000000-44-44-444-4-444-4000000000004-4004-40000000-4400-440000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8000000-44-44-444-4-444-400000000000-4400-4400000004-4004-40000000000000000000000000000000000000000000000000000000000000000
χ1058-88-80000004-4-444-44-4-44-4400000000000004-400-4400000004-400-4400000000000000000000000000000000000000000000000000000000000000
χ1068-88-80000004-4-444-44-4-44-440000000000000-44004-40000000-44004-400000000000000000000000000000000000000000000000000000000000000
χ1078-88-80000004-4-44-44-444-44-400000000000004-400-440000000-44004-400000000000000000000000000000000000000000000000000000000000000
χ1088-88-80000004-4-44-44-444-44-40000000000000-44004-400000004-400-4400000000000000000000000000000000000000000000000000000000000000
χ1098-88-8000000-444-44-4-44-444-4000000000004-400-4400000004-400-440000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8000000-444-44-4-44-444-400000000000-44004-40000000-44004-40000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8000000-444-4-444-44-4-44000000000004-400-440000000-44004-40000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8000000-444-4-444-44-4-4400000000000-44004-400000004-400-440000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88888-8-8-800000000000000000000000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ1148-8-88888-8-8-80000000000000000000000000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ1158-8-88-88-888-8000000000000000000000000000000000000000000000000004-40000-44000000000000000000000000000000000000000000000000
χ1168-8-88-88-888-800000000000000000000000000000000000000000000000000-4400004-4000000000000000000000000000000000000000000000000

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