Finite Group Databasebeta

← Group #13178803

Character table — Group #13178803

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111122222222222244444444444444444444444444444444444444444444444181818181818363636363636363636363636363636111122222222222244444444444444444444444444444444444444444444444181818181818363636363636363636363636363636
order12223336666666662333336666666666666666666666666666666666666666644444424466121212121212121212122222666666666666266666666666666666666666666666666666666666666664444442446612121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-1-1-11111-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11-1-1-1-1-1-11111-1-1111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-111
χ51111111111111111-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1-1111111111111111111-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1-111
χ61111111111111111-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111111-1-1-1-111-1-11111111111111111-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111111-1-1-1-111-1-1
χ71111111111111111-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-11111-1-1-1-11111111111111111-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-11111-1-1-1-1
χ81111111111111111-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-111111111111111111111-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-11111
χ9222222-122-1-12222-122-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022200-1-100000000-1-1222222-122-1-12222-122-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022200-1-100000000-1-1
χ10222222-122-1-12222-122-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-200110000000011222222-122-1-12222-122-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-200110000000011
χ11222222-122-1-12222-1-22-1-1-1-1-2-2-2-211222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111000022-2001100000000-1-1222222-122-1-12222-1-22-1-1-1-1-2-2-2-211222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111000022-2001100000000-1-1
χ12222222-122-1-12222-1-22-1-1-1-1-2-2-2-211222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111110000-2-2200-1-10000000011222222-122-1-12222-1-22-1-1-1-1-2-2-2-211222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111110000-2-2200-1-10000000011
χ1322222-122-12222-1-122-12-1-1-122-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002200002000000-1-1-1-10022222-122-12222-1-122-12-1-1-122-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002200002000000-1-1-1-100
χ1422222-122-12222-1-122-12-1-1-122-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-200000011110022222-122-12222-1-122-12-1-1-122-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2000000111100
χ1522222-122-12222-1-12-2-12-1-1-1-2-211-2-2-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100220000-2000000-1-1110022222-122-12222-1-12-2-12-1-1-1-2-211-2-2-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100220000-2000000-1-11100
χ1622222-122-12222-1-12-2-12-1-1-1-2-211-2-2-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100-2-20000200000011-1-10022222-122-12222-1-12-2-12-1-1-1-2-211-2-2-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100-2-20000200000011-1-100
χ172222-122-1222-1-12222-1-12-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122000002000-1-1-1-10000002222-122-1222-1-12222-1-12-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122000002000-1-1-1-1000000
χ182222-122-1222-1-12222-1-12-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200000-200011110000002222-122-1222-1-12222-1-12-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200000-20001111000000
χ192222-122-1222-1-1222-2-1-12-1-111-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-2111111112200000-2000-1-1110000002222-122-1222-1-1222-2-1-12-1-111-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-2111111112200000-2000-1-111000000
χ202222-122-1222-1-1222-2-1-12-1-111-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-211111111-2-200000200011-1-10000002222-122-1222-1-1222-2-1-12-1-111-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-211111111-2-200000200011-1-1000000
χ2122-2-22222-22-2-2-22-2-20222220000002-2-22-2-22-2-222-2-2-2-2000000000000000000002i−2i0000000002i−2i0000000022-2-22222-22-2-2-22-2-20222220000002-2-22-2-22-2-222-2-2-2-2000000000000000000002i−2i0000000002i−2i00000000
χ2222-2-22222-22-2-2-22-2-20222220000002-2-22-2-22-2-222-2-2-2-200000000000000000000−2i2i000000000−2i2i0000000022-2-22222-22-2-2-22-2-20222220000002-2-22-2-22-2-222-2-2-2-200000000000000000000−2i2i000000000−2i2i00000000
χ2322-2-2-122-1-22-2112-2-20-1-12-1-1−i3i30000-111-1112-2-2-1-11111−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i32i−2i000000000−ii3−300000022-2-2-122-1-22-2112-2-20-1-12-1-1−i3i30000-111-1112-2-2-1-11111−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i32i−2i000000000−ii3−3000000
χ2422-2-2-122-1-22-2112-2-20-1-12-1-1−i3i30000-111-1112-2-2-1-11111−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−2i2i000000000i−i−3300000022-2-2-122-1-22-2112-2-20-1-12-1-1−i3i30000-111-1112-2-2-1-11111−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−2i2i000000000i−i−33000000
χ2522-2-2-122-1-22-2112-2-20-1-12-1-1i3−i30000-111-1112-2-2-1-11111i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i32i−2i000000000−ii−3300000022-2-2-122-1-22-2112-2-20-1-12-1-1i3−i30000-111-1112-2-2-1-11111i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i32i−2i000000000−ii−33000000
χ2622-2-2-122-1-22-2112-2-20-1-12-1-1i3−i30000-111-1112-2-2-1-11111i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3−2i2i000000000i−i3−300000022-2-2-122-1-22-2112-2-20-1-12-1-1i3−i30000-111-1112-2-2-1-11111i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3−2i2i000000000i−i3−3000000
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χ282-22-2222-22-222-2-2-2-2022222000000-22-2-22-2-22-2-2-222-2-20000000000000000000000−2i2i00000000000−2i2i00002-22-2222-22-222-2-2-2-2022222000000-22-2-22-2-22-2-2-222-2-20000000000000000000000−2i2i00000000000−2i2i0000
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χ302-22-22-12-2-1-222-211-20-12-1-1-100−i3i3001-11-22-21-1111-1-111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300−2i2i00000000000i−i−33002-22-22-12-2-1-222-211-20-12-1-1-100−i3i3001-11-22-21-1111-1-111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300−2i2i00000000000i−i−3300
χ312-22-22-12-2-1-222-211-20-12-1-1-100i3−i3001-11-22-21-1111-1-111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3002i−2i00000000000−ii−33002-22-22-12-2-1-222-211-20-12-1-1-100i3−i3001-11-22-21-1111-1-111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3002i−2i00000000000−ii−3300
χ322-22-22-12-2-1-222-211-20-12-1-1-100i3−i3001-11-22-21-1111-1-111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300−2i2i00000000000i−i3−3002-22-22-12-2-1-222-211-20-12-1-1-100i3−i3001-11-22-21-1111-1-111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300−2i2i00000000000i−i3−300
χ332-2-22222-2-2-2-2-22-222022222000000-2-22-2-22-2-22-2-2-2-2220000000000000000000000002-200000000000002-22-2-22222-2-2-2-2-22-222022222000000-2-22-2-22-2-22-2-2-2-2220000000000000000000000002-200000000000002-2
χ342-2-22222-2-2-2-2-22-222022222000000-2-22-2-22-2-22-2-2-2-222000000000000000000000000-220000000000000-222-2-22222-2-2-2-2-22-222022222000000-2-22-2-22-2-22-2-2-2-222000000000000000000000000-220000000000000-22
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χ362-2-2222-1-2-211-22-22-102-1-1-1-10000−i3i3-2-2211-111-11111-1-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000-22000i3−i3000000001-12-2-2222-1-2-211-22-22-102-1-1-1-10000−i3i3-2-2211-111-11111-1-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000-22000i3−i3000000001-1
χ372-2-2222-1-2-211-22-22-102-1-1-1-10000i3−i3-2-2211-111-11111-1-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300002-2000i3−i300000000-112-2-2222-1-2-211-22-22-102-1-1-1-10000i3−i3-2-2211-111-11111-1-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300002-2000i3−i300000000-11
χ382-2-2222-1-2-211-22-22-102-1-1-1-10000i3−i3-2-2211-111-11111-1-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000-22000−i3i3000000001-12-2-2222-1-2-211-22-22-102-1-1-1-10000i3−i3-2-2211-111-11111-1-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000-22000−i3i3000000001-1
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χ414444-24-2-24-2-2-2-244-24-21-211-2-244-2-2-2-2-2111-2-2-2111111-2-2-2-21111-2-2-2-2111111110000000000000000000004444-24-2-24-2-2-2-244-24-21-211-2-244-2-2-2-2-2111-2-2-2111111-2-2-2-21111-2-2-2-211111111000000000000000000000
χ424444-24-2-24-2-2-2-244-2-4-21-21122-4-422-2-2-2111-2-2-21111112222-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000004444-24-2-24-2-2-2-244-2-4-21-21122-4-422-2-2-2111-2-2-21111112222-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000
χ434444-2-24-2-244-2-2-2-2441-2-211-2-2-2-244111-2-2-2-2-2-21111111111-2-2-2-2-2-2-2-2111111110000000000000000000004444-2-24-2-244-2-2-2-2441-2-211-2-2-2-244111-2-2-2-2-2-21111111111-2-2-2-2-2-2-2-211111111000000000000000000000
χ444444-2-24-2-244-2-2-2-24-41-2-2112222-4-4111-2-2-2-2-2-2111111-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000004444-2-24-2-244-2-2-2-24-41-2-2112222-4-4111-2-2-2-2-2-2111111-1-1-1-122222222-1-1-1-1-1-1-1-1000000000000000000000
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Here i is the imaginary unit (i² = −1).