Finite Group Databasebeta

← Group #72278492

Character table — Group #72278492

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size111122222244444444444488888888888816161616161616161616161616161616161616161616111122222244444444444488888888888816161616161616161616161616161616161616161616
order1222222222222222224444222244444444244444444444444444888822222222222222222244442222444444442444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1111111111-1-11-1-1-1-111-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1111111111-1-11-1-1-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1-1-1
χ91111-1-1-111-11111-1-1-1-111-1-111-1-1iiii−i−i−i−i11-1-11-11-11-1ii−i−iii−i−iii−i−i1111-1-1-111-11111-1-1-1-111-1-111-1-1iiii−i−i−i−i11-1-11-11-11-1ii−i−iii−i−iii−i−i
χ101111-1-1-111-11111-1-1-1-111-1-111-1-1iiii−i−i−i−i-1-111-111-1-11ii−i−i−i−iii−i−iii1111-1-1-111-11111-1-1-1-111-1-111-1-1iiii−i−i−i−i-1-111-111-1-11ii−i−i−i−iii−i−iii
χ111111-1-1-111-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii11-1-11-11-11-1−i−iii−i−iii−i−iii1111-1-1-111-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii11-1-11-11-11-1−i−iii−i−iii−i−iii
χ121111-1-1-111-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii-1-111-111-1-11−i−iiiii−i−iii−i−i1111-1-1-111-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii-1-111-111-1-11−i−iiiii−i−iii−i−i
χ131111-1-1-111-11111-1-1-1-111-1-1-1-111iiii−i−i−i−i1-11-1-11-111-1−i−iiiii−i−i−i−iii1111-1-1-111-11111-1-1-1-111-1-1-1-111iiii−i−i−i−i1-11-1-11-111-1−i−iiiii−i−i−i−iii
χ141111-1-1-111-11111-1-1-1-111-1-1-1-111iiii−i−i−i−i-11-111-1-11-11−i−iii−i−iiiii−i−i1111-1-1-111-11111-1-1-1-111-1-1-1-111iiii−i−i−i−i-11-111-1-11-11−i−iii−i−iiiii−i−i
χ151111-1-1-111-11111-1-1-1-111-1-1-1-111−i−i−i−iiiii1-11-1-11-111-1ii−i−i−i−iiiii−i−i1111-1-1-111-11111-1-1-1-111-1-1-1-111−i−i−i−iiiii1-11-1-11-111-1ii−i−i−i−iiiii−i−i
χ161111-1-1-111-11111-1-1-1-111-1-1-1-111−i−i−i−iiiii-11-111-1-11-11ii−i−iii−i−i−i−iii1111-1-1-111-11111-1-1-1-111-1-1-1-111−i−i−i−iiiii-11-111-1-11-11ii−i−iii−i−i−i−iii
χ17222222222222-2-22-22-2-2-2-2-200000000000020020000-2-2000000000000222222222222-2-22-22-2-2-2-2-200000000000020020000-2-2000000000000
χ18222222222222-2-22-22-2-2-2-2-2000000000000-200-2000022000000000000222222222222-2-22-22-2-2-2-2-2000000000000-200-2000022000000000000
χ192222222222-2-222-22-22-2-2-2-2222200000000000000-2-2000000000000002222222222-2-222-22-22-2-2-2-2222200000000000000-2-200000000000000
χ202222222222-2-222-22-22-2-2-2-2-2-2-2-20000000000000022000000000000002222222222-2-222-22-22-2-2-2-2-2-2-2-2000000000000002200000000000000
χ212222222222-2-2-2-2-2-2-2-222220000000000000220-2-200000000000000002222222222-2-2-2-2-2-2-2-222220000000000000220-2-20000000000000000
χ222222222222-2-2-2-2-2-2-2-222220000000000000-2-202200000000000000002222222222-2-2-2-2-2-2-2-222220000000000000-2-20220000000000000000
χ232222-2-2-222-222-2-2-22-22-2-222000000000000200-20000-220000000000002222-2-2-222-222-2-2-22-22-2-222000000000000200-20000-22000000000000
χ242222-2-2-222-222-2-2-22-22-2-222000000000000-200200002-20000000000002222-2-2-222-222-2-2-22-22-2-222000000000000-200200002-2000000000000
χ252222-2-2-222-2-2-2222-22-2-2-22222-2-200000000000000-22000000000000002222-2-2-222-2-2-2222-22-2-2-22222-2-200000000000000-2200000000000000
χ262222-2-2-222-2-2-2222-22-2-2-222-2-222000000000000002-2000000000000002222-2-2-222-2-2-2222-22-2-2-222-2-222000000000000002-200000000000000
χ272222-2-2-222-2-2-2-2-2222222-2-200000000000002-20-2200000000000000002222-2-2-222-2-2-2-2-2222222-2-200000000000002-20-220000000000000000
χ282222-2-2-222-2-2-2-2-2222222-2-20000000000000-2202-200000000000000002222-2-2-222-2-2-2-2-2222222-2-20000000000000-2202-20000000000000000
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χ322-2-2222-2-22-22-2-222-2-22-222-200000000000000000000000000−2i2i−2i2i00002-2-2222-2-22-22-2-222-2-22-222-200000000000000000000000000−2i2i−2i2i0000
χ332-2-2222-2-22-2-222-2-222-2-222-200000000000000000000002i−2i2i−2i000000002-2-2222-2-22-2-222-2-222-2-222-200000000000000000000002i−2i2i−2i00000000
χ342-2-2222-2-22-2-222-2-222-2-222-20000000000000000000000−2i2i−2i2i000000002-2-2222-2-22-2-222-2-222-2-222-20000000000000000000000−2i2i−2i2i00000000
χ352-2-2222-2-22-2-22-22-2-2222-2-220000000000000000000000000000002-22-22-2-2222-2-22-2-22-22-2-2222-2-220000000000000000000000000000002-22-2
χ362-2-2222-2-22-2-22-22-2-2222-2-22000000000000000000000000000000-22-222-2-2222-2-22-2-22-22-2-2222-2-22000000000000000000000000000000-22-22
χ372-2-22-2-22-2222-22-2-2-2222-22-2000022-2-2-2-22200000000000000000000002-2-22-2-22-2222-22-2-2-2222-22-2000022-2-2-2-2220000000000000000000000
χ382-2-22-2-22-2222-22-2-2-2222-22-20000-2-22222-2-200000000000000000000002-2-22-2-22-2222-22-2-2-2222-22-20000-2-22222-2-20000000000000000000000
χ392-2-22-2-22-2222-2-22-222-2-22-22000000000000000000000000002-2-2200002-2-22-2-22-2222-2-22-222-2-22-22000000000000000000000000002-2-220000
χ402-2-22-2-22-2222-2-22-222-2-22-2200000000000000000000000000-222-200002-2-22-2-22-2222-2-22-222-2-22-2200000000000000000000000000-222-20000
χ412-2-22-2-22-222-222-22-2-22-22-2200000000000000000000002-2-22000000002-2-22-2-22-222-222-22-2-22-22-2200000000000000000000002-2-2200000000
χ422-2-22-2-22-222-222-22-2-22-22-220000000000000000000000-222-2000000002-2-22-2-22-222-222-22-2-22-22-220000000000000000000000-222-200000000
χ432-2-22-2-22-222-22-2222-2-22-22-20000000000000000000000000000002i−2i−2i2i2-2-22-2-22-222-22-2222-2-22-22-20000000000000000000000000000002i−2i−2i2i
χ442-2-22-2-22-222-22-2222-2-22-22-2000000000000000000000000000000−2i2i2i−2i2-2-22-2-22-222-22-2222-2-22-22-2000000000000000000000000000000−2i2i2i−2i
χ4544444-44-4-4-400000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000044444-44-4-4-400000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ4644444-44-4-4-40000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000044444-44-4-4-40000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ474444-44-4-4-4400000000000000002-22-2-22-2200000000000000000000004444-44-4-4-4400000000000000002-22-2-22-220000000000000000000000
χ484444-44-4-4-440000000000000000-22-222-22-200000000000000000000004444-44-4-4-440000000000000000-22-222-22-20000000000000000000000
χ494-4-444-4-44-4400000000000000002-2-222-2-2200000000000000000000004-4-444-4-44-4400000000000000002-2-222-2-220000000000000000000000
χ504-4-444-4-44-440000000000000000-222-2-222-200000000000000000000004-4-444-4-44-440000000000000000-222-2-222-20000000000000000000000
χ514-4-44-4444-4-400000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000004-4-44-4444-4-400000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ524-4-44-4444-4-40000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000004-4-44-4444-4-40000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ5388-8-8000000000000000000004-400000000000000000000000000000088-8-8000000000000000000004-4000000000000000000000000000000
χ5488-8-800000000000000000000-4400000000000000000000000000000088-8-800000000000000000000-44000000000000000000000000000000
χ558-88-80000000000000000004-4000000000000000000000000000000008-88-80000000000000000004-400000000000000000000000000000000
χ568-88-8000000000000000000-44000000000000000000000000000000008-88-8000000000000000000-4400000000000000000000000000000000
χ5711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ581111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111
χ5911111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111
χ6011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-1111111111-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-11111
χ621111111111111111111111-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-1111111111111-1-1-1-1
χ631111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-11111-1-1-1-1-1-11111-1-1-1-1
χ641111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-11111-1-1-1-1-1-1-1-11111
χ651111-1-1-111-11111-1-1-1-111-1-111-1-1iiii−i−i−i−i11-1-11-11-11-1ii−i−iii−i−iii−i−i-1-1-1-1111-1-11-1-1-1-11111-1-111-1-111−i−i−i−iiiii-1-111-11-11-11−i−iii−i−iii−i−iii
χ661111-1-1-111-11111-1-1-1-111-1-111-1-1iiii−i−i−i−i-1-111-111-1-11ii−i−i−i−iii−i−iii-1-1-1-1111-1-11-1-1-1-11111-1-111-1-111−i−i−i−iiiii11-1-11-1-111-1−i−iiiii−i−iii−i−i
χ671111-1-1-111-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii11-1-11-11-11-1−i−iii−i−iii−i−iii-1-1-1-1111-1-11-1-1-1-11111-1-111-1-111iiii−i−i−i−i-1-111-11-11-11ii−i−iii−i−iii−i−i
χ681111-1-1-111-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii-1-111-111-1-11−i−iiiii−i−iii−i−i-1-1-1-1111-1-11-1-1-1-11111-1-111-1-111iiii−i−i−i−i11-1-11-1-111-1ii−i−i−i−iii−i−iii
χ691111-1-1-111-11111-1-1-1-111-1-1-1-111iiii−i−i−i−i1-11-1-11-111-1−i−iiiii−i−i−i−iii-1-1-1-1111-1-11-1-1-1-11111-1-11111-1-1−i−i−i−iiiii-11-111-11-1-11ii−i−i−i−iiiii−i−i
χ701111-1-1-111-11111-1-1-1-111-1-1-1-111iiii−i−i−i−i-11-111-1-11-11−i−iii−i−iiiii−i−i-1-1-1-1111-1-11-1-1-1-11111-1-11111-1-1−i−i−i−iiiii1-11-1-111-11-1ii−i−iii−i−i−i−iii
χ711111-1-1-111-11111-1-1-1-111-1-1-1-111−i−i−i−iiiii1-11-1-11-111-1ii−i−i−i−iiiii−i−i-1-1-1-1111-1-11-1-1-1-11111-1-11111-1-1iiii−i−i−i−i-11-111-11-1-11−i−iiiii−i−i−i−iii
χ721111-1-1-111-11111-1-1-1-111-1-1-1-111−i−i−i−iiiii-11-111-1-11-11ii−i−iii−i−i−i−iii-1-1-1-1111-1-11-1-1-1-11111-1-11111-1-1iiii−i−i−i−i1-11-1-111-11-1−i−iii−i−iiiii−i−i
χ73222222222222-2-22-22-2-2-2-2-200000000000020020000-2-2000000000000-2-2-2-2-2-2-2-2-2-2-2-222-22-222222000000000000-200-2000022000000000000
χ74222222222222-2-22-22-2-2-2-2-2000000000000-200-2000022000000000000-2-2-2-2-2-2-2-2-2-2-2-222-22-22222200000000000020020000-2-2000000000000
χ752222222222-2-222-22-22-2-2-2-2222200000000000000-2-200000000000000-2-2-2-2-2-2-2-2-2-222-2-22-22-22222-2-2-2-2000000000000002200000000000000
χ762222222222-2-222-22-22-2-2-2-2-2-2-2-2000000000000002200000000000000-2-2-2-2-2-2-2-2-2-222-2-22-22-22222222200000000000000-2-200000000000000
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χ792222-2-2-222-222-2-2-22-22-2-222000000000000200-20000-22000000000000-2-2-2-2222-2-22-2-2222-22-222-2-2000000000000-200200002-2000000000000
χ802222-2-2-222-222-2-2-22-22-2-222000000000000-200200002-2000000000000-2-2-2-2222-2-22-2-2222-22-222-2-2000000000000200-20000-22000000000000
χ812222-2-2-222-2-2-2222-22-2-2-22222-2-200000000000000-2200000000000000-2-2-2-2222-2-2222-2-2-22-2222-2-2-2-222000000000000002-200000000000000
χ822222-2-2-222-2-2-2222-22-2-2-222-2-222000000000000002-200000000000000-2-2-2-2222-2-2222-2-2-22-2222-2-222-2-200000000000000-2200000000000000
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χ842222-2-2-222-2-2-2-2-2222222-2-20000000000000-2202-20000000000000000-2-2-2-2222-2-222222-2-2-2-2-2-22200000000000002-20-220000000000000000
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χ932-2-22-2-22-2222-22-2-2-2222-22-2000022-2-2-2-2220000000000000000000000-222-222-22-2-2-22-2222-2-2-22-220000-2-22222-2-20000000000000000000000
χ942-2-22-2-22-2222-22-2-2-2222-22-20000-2-22222-2-20000000000000000000000-222-222-22-2-2-22-2222-2-2-22-22000022-2-2-2-2220000000000000000000000
χ952-2-22-2-22-2222-2-22-222-2-22-22000000000000000000000000002-2-220000-222-222-22-2-2-222-22-2-222-22-200000000000000000000000000-222-20000
χ962-2-22-2-22-2222-2-22-222-2-22-2200000000000000000000000000-222-20000-222-222-22-2-2-222-22-2-222-22-2000000000000000000000000002-2-220000
χ972-2-22-2-22-222-222-22-2-22-22-2200000000000000000000002-2-2200000000-222-222-22-2-22-2-22-222-22-22-20000000000000000000000-222-200000000
χ982-2-22-2-22-222-222-22-2-22-22-220000000000000000000000-222-200000000-222-222-22-2-22-2-22-222-22-22-200000000000000000000002-2-2200000000
χ992-2-22-2-22-222-22-2222-2-22-22-20000000000000000000000000000002i−2i−2i2i-222-222-22-2-22-22-2-2-222-22-22000000000000000000000000000000−2i2i2i−2i
χ1002-2-22-2-22-222-22-2222-2-22-22-2000000000000000000000000000000−2i2i2i−2i-222-222-22-2-22-22-2-2-222-22-220000000000000000000000000000002i−2i−2i2i
χ10144444-44-4-4-400000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000-4-4-4-4-44-44440000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ10244444-44-4-4-40000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000-4-4-4-4-44-444400000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ1034444-44-4-4-4400000000000000002-22-2-22-220000000000000000000000-4-4-4-44-4444-40000000000000000-22-222-22-20000000000000000000000
χ1044444-44-4-4-440000000000000000-22-222-22-20000000000000000000000-4-4-4-44-4444-400000000000000002-22-2-22-220000000000000000000000
χ1054-4-444-4-44-4400000000000000002-2-222-2-220000000000000000000000-444-4-444-44-40000000000000000-222-2-222-20000000000000000000000
χ1064-4-444-4-44-440000000000000000-222-2-222-20000000000000000000000-444-4-444-44-400000000000000002-2-222-2-220000000000000000000000
χ1074-4-44-4444-4-400000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000-444-44-4-4-4440000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ1084-4-44-4444-4-40000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000-444-44-4-4-44400000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ10988-8-8000000000000000000004-4000000000000000000000000000000-8-88800000000000000000000-44000000000000000000000000000000
χ11088-8-800000000000000000000-44000000000000000000000000000000-8-888000000000000000000004-4000000000000000000000000000000
χ1118-88-80000000000000000004-400000000000000000000000000000000-88-88000000000000000000-4400000000000000000000000000000000
χ1128-88-8000000000000000000-4400000000000000000000000000000000-88-880000000000000000004-400000000000000000000000000000000

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