Finite Group Databasebeta

← Group #13176513

Character table — Group #13176513

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
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order12223333344666666666666666333344666666666666121212121212121212124412121212121212121212121212121212121212121212121212121212121212121212444121212121212121212121212121212124412121212121212124441212121244444412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ5111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-11
χ6111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1
χ7111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111111111-1-1-1-1-1
χ8111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-111111
χ9111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-111-1-111-1-1111-1-1
χ10111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-111-1-111-1-1-111
χ11111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111111111-1-1-1-11111-11-111-1-1-1-111-1-11-11
χ12111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-11-1-11111-1-111-11-1
χ13111111111-1-11111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1-1-11111-11-1
χ14111111111-1-11111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-11-11
χ15111111111-1-11111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-111
χ16111111111-1-11111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-111-1-111111-1-1
χ1722222222-1222222-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-10022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000002200000000222-1-1-1-1000000-1-10
χ1822222222-1222222-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-10022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-200000000-2-2-21111000000110
χ1922222222-1222222-122222222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-122222222-1-100-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-11111111111111111000000000000000000022000000002-2-2-1-1-1-1000000110
χ2022222222-1222222-122222222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-122222222-1-100-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-111111111111111110000000000000000000-2-200000000-2221111000000-1-10
χ2122222222-1-2-22222-122222222-1-1-1-1-1-12-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211002222-2-2-2-2-1111111111-1-1-1-1-1-1-1-11111111100000000000000000002200000000-22-2-1-111000000-110
χ2222222222-1-2-22222-122222222-1-1-1-1-1-12-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211002222-2-2-2-2-1111111111-1-1-1-1-1-1-1-1111111110000000000000000000-2-2000000002-2211-1-10000001-10
χ2322222222-1-2-22222-122222222-1-1-1-1-1-1-22-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21100-2-2-2-222221-11111111111111111-1-1-1-1-1-1-1-100000000000000000002200000000-2-22-1-1110000001-10
χ2422222222-1-2-22222-122222222-1-1-1-1-1-1-22-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21100-2-2-2-222221-11111111111111111-1-1-1-1-1-1-1-10000000000000000000-2-20000000022-211-1-1000000-110
χ2522222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1002-1-1-12-1-1-10000000000000000
χ2622222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-2-22-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2111111-2-211111100-2111-21110000000000000000
χ2722222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-2-22-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12222-2111-2111-2-222-1-1-1-1-1-1-2-2111111-2-21111112-2-222-1-1-1-1-1-122-1-1-1-1-1-100-2111-21110000000000000000
χ2822222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-2-22-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-2-2-2111-2111-2-222-1-1-1-1-1-1-2-2111111-2-2111111-222-2-2111111-2-2111111002-1-1-12-1-1-10000000000000000
χ2922222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-12-22-1-1-12-1-1-12-1-1-1-2-2111111-2-2222-1-1-1-21112-2-2-211111122-1-1-1-1-1-1-2-2111111-22-222-1-1-1-1-1-1-2-2111111002-1-1-1-21110000000000000000
χ3022222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-12-22-1-1-12-1-1-12-1-1-1-2-2111111-2-2-2-22-1-1-1-21112-2-2-211111122-1-1-1-1-1-1-2-21111112-22-2-211111122-1-1-1-1-1-100-21112-1-1-10000000000000000
χ3122222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-1-222-1-1-12-1-1-12-1-1-1-2-2111111-2-222-21112-1-1-1-22-2-2111111-2-211111122-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-2-211111100-21112-1-1-10000000000000000
χ3222222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-1-222-1-1-12-1-1-12-1-1-1-2-2111111-2-2-2-2-21112-1-1-1-22-2-2111111-2-211111122-1-1-1-1-1-122-2-2-211111122-1-1-1-1-1-1002-1-1-1-21110000000000000000
χ332222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-122-12-1-1-12-1-1-12-1-1-1-122-1-1-1-12222-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-100-12-1-1-12-1-10000000000000000
χ342222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-122-12-1-1-12-1-1-12-1-1-1-122-1-1-1-122-2-2-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-211-2-2111111-2-21111001-2111-2110000000000000000
χ352222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-2-2-12-1-1-12-1-1-12-1-1-1-122-1-1-1-122221-2111-211-2-2-1-122-1-1-1-111-2-2111111-2-211112-2-2-1-122-1-1-1-1-1-122-1-1-1-1001-2111-2110000000000000000
χ362222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-2-2-12-1-1-12-1-1-12-1-1-1-122-1-1-1-122-2-21-2111-211-2-2-1-122-1-1-1-111-2-2111111-2-21111-22211-2-2111111-2-2111100-12-1-1-12-1-10000000000000000
χ372222-12-1-12-2-2-12-1-12-12-1-1-12-1-122-12-1-12-2-12-1-1-12-1-1-12-1-111-2-21111-2-222-12-1-11-2112-211-2-21111-1-122-1-1-1-111-2-21111-22-2-1-122-1-1-1-111-2-2111100-12-1-11-2110000000000000000
χ382222-12-1-12-2-2-12-1-12-12-1-1-12-1-122-12-1-12-2-12-1-1-12-1-1-12-1-111-2-21111-2-2-2-2-12-1-11-2112-211-2-21111-1-122-1-1-1-111-2-211112-2211-2-21111-1-122-1-1-1-1001-211-12-1-10000000000000000
χ392222-12-1-12-2-2-12-1-12-12-1-1-12-1-122-12-1-1-22-12-1-1-12-1-1-12-1-111-2-21111-2-2221-211-12-1-1-2211-2-2111111-2-21111-1-122-1-1-1-1-2-22-1-122-1-1-1-111-2-21111001-211-12-1-10000000000000000
χ402222-12-1-12-2-2-12-1-12-12-1-1-12-1-122-12-1-1-22-12-1-1-12-1-1-12-1-111-2-21111-2-2-2-21-211-12-1-1-2211-2-2111111-2-21111-1-122-1-1-1-122-211-2-21111-1-122-1-1-1-100-12-1-11-2110000000000000000
χ412222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-122-1-12-1-1-12-1-1-12-1-1-1-1-122-1-12222-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-122-1-100-1-12-1-1-12-10000000000000000
χ422222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-122-1-12-1-1-12-1-1-12-1-1-1-1-122-1-122-2-2-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-21111-2-2111111-2-2110011-2111-210000000000000000
χ432222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1222211-2111-21-2-2-1-1-1-122-1-11111-2-2111111-2-2112-2-2-1-1-1-122-1-1-1-1-1-122-1-10011-2111-210000000000000000
χ442222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-1-1-122-1-122-2-211-2111-21-2-2-1-1-1-122-1-11111-2-2111111-2-211-2221111-2-2111111-2-21100-1-12-1-1-12-10000000000000000
χ452222-1-12-12-2-2-1-12-12-1-12-1-1-12-122-1-12-12-2-1-12-1-1-12-1-1-12-11111-2-211-2-222-1-12-111-212-21111-2-211-1-1-1-122-1-11111-2-211-22-2-1-1-1-122-1-11111-2-21100-1-12-111-210000000000000000
χ462222-1-12-12-2-2-1-12-12-1-12-1-1-12-122-1-12-12-2-1-12-1-1-12-1-1-12-11111-2-211-2-2-2-2-1-12-111-212-21111-2-211-1-1-1-122-1-11111-2-2112-221111-2-211-1-1-1-122-1-10011-21-1-12-10000000000000000
χ472222-1-12-12-2-2-1-12-12-1-12-1-1-12-122-1-12-1-22-1-12-1-1-12-1-1-12-11111-2-211-2-22211-21-1-12-1-221111-2-2111111-2-211-1-1-1-122-1-1-2-22-1-1-1-122-1-11111-2-2110011-21-1-12-10000000000000000
χ482222-1-12-12-2-2-1-12-12-1-12-1-1-12-122-1-12-1-22-1-12-1-1-12-1-1-12-11111-2-211-2-2-2-211-21-1-12-1-221111-2-2111111-2-211-1-1-1-122-1-122-21111-2-211-1-1-1-122-1-100-1-12-111-210000000000000000
χ492222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12200-1-1-12-1-1-120000000000000000
χ502222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-12222-2-2-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2111111-2-2111111-2-200111-2111-20000000000000000
χ512222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-1-1-1-1222222111-2111-2-2-2-1-1-1-1-1-122111111-2-2111111-2-22-2-2-1-1-1-1-1-122-1-1-1-1-1-12200111-2111-20000000000000000
χ522222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-1-1-1-12222-2-2111-2111-2-2-2-1-1-1-1-1-122111111-2-2111111-2-2-222111111-2-2111111-2-200-1-1-12-1-1-120000000000000000
χ532222-1-1-122-2-2-1-1-122-1-1-12-1-1-1222-1-1-122-2-1-1-12-1-1-12-1-1-12111111-2-2-2-222-1-1-12111-22-2111111-2-2-1-1-1-1-1-122111111-2-2-22-2-1-1-1-1-1-122111111-2-200-1-1-12111-20000000000000000
χ542222-1-1-122-2-2-1-1-122-1-1-12-1-1-1222-1-1-122-2-1-1-12-1-1-12-1-1-12111111-2-2-2-2-2-2-1-1-12111-22-2111111-2-2-1-1-1-1-1-122111111-2-22-22111111-2-2-1-1-1-1-1-12200111-2-1-1-120000000000000000
χ552222-1-1-122-2-2-1-1-122-1-1-12-1-1-1222-1-1-12-22-1-1-12-1-1-12-1-1-12111111-2-2-2-222111-2-1-1-12-22111111-2-2111111-2-2-1-1-1-1-1-122-2-22-1-1-1-1-1-122111111-2-200111-2-1-1-120000000000000000
χ562222-1-1-122-2-2-1-1-122-1-1-12-1-1-1222-1-1-12-22-1-1-12-1-1-12-1-1-12111111-2-2-2-2-2-2111-2-1-1-12-22111111-2-2111111-2-2-1-1-1-1-1-12222-2111111-2-2-1-1-1-1-1-12200-1-1-12111-20000000000000000
χ572-22-2222222-222222-2-2-2-2-2-2-2-2-2-2222200-2-2-2-22222-2-2-2-22-22-22-22-22-20000000000002-22-22-22-200000000000000000000000000000000000000000000000000002-22-200000
χ582-22-2222222-222222-2-2-2-2-2-2-2-2-2-2222200-2-2-2-22222-2-2-2-22-22-22-22-22-20000000000002-22-22-22-20000000000000000000000000000000000000000000000000000-22-2200000
χ592-22-222222-2222222-2-2-2-2-2-2-2-2-2-2222200-2-2-2-22222-2-2-2-2-22-22-22-22-22000000000000-22-22-22-2200000000000000000000000000000000000000000000000000002-2-2200000
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χ1004-44-4-24-2-244-4-24-2-242-4222-422-4-4-24-2-2002-422-24-2-22-422-224-4-22-224-4000000000000-224-4-22-220000000000000000000000000000000000000000000000000000000000000
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χ1234-4-44-24-2-24002-422-42-422-24-2-2-44-24-2-200-24-2-22-4222-4220000000000−4i4i00000000000000000000000000000000000002i−2i−4i4i2i−2i2i−2i0000000000000000000000000000000000
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χ1254-4-44-2-24-240022-42-422-42-2-24-2-44-2-24-200-2-24-222-4222-420000000000−4i4i00000000000000000000000000000000000002i−2i2i−2i−4i4i2i−2i0000000000000000000000000000000000
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χ12888-8-88-4-4-4-400-844448-4-4-4-8444-44-4222004-2-2-24-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).