Finite Group Databasebeta

← Group #13143881

Character table — Group #13143881

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11111122222222244444466666666888888121212121212121212121212242424242424242424242424242424242424242424242424363636363636363636363636363636363636727272
order123366244661212121222666633336666882424242466661212121212121212666666662424242424242424242424242424242422444466661212121212121212266
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111
χ5111111111111111-1-1-1-1-1-1111111111-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-111-1-11111-1-1-1
χ6111111111111111-1-1-1-1-1-1111111111-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-1111
χ7111111111111111-1-1-1-1-1-111111111-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-111-1-1-1-1-1-1111
χ8111111111111111-1-1-1-1-1-111111111-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-1111111-1-1-1
χ92222222222222222222222-1-1-12-1-1-12222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000
χ102222222222222222222222-1-1-12-1-1-1-2-2-2-2-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000000000000
χ11222222222222222222222-12-1-1-12-1-1222222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000
χ12222222222222222222222-12-1-1-12-1-1-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111000000000000000000000
χ13222222222222222222222-1-12-1-1-12-1222222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000
χ14222222222222222222222-1-12-1-1-12-1-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-211000000000000000000000
χ15222222222222222222222-1-1-12-1-1-12222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000
χ16222222222222222222222-1-1-12-1-1-12-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2000000000000000000000
χ17222222222222222-2-2-2-2-2-22-1-1-12-1-1-12-222-2-22-1-1-122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000000000000000000000
χ18222222222222222-2-2-2-2-2-22-1-1-12-1-1-1-22-2-2222-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1000000000000000000000
χ19222222222222222-2-2-2-2-2-2-12-1-1-12-1-12-222-2-2-12-1-1-1-122-1-1-1-111-2-21111-1-122-1-1-1-111-2-21111000000000000000000000
χ20222222222222222-2-2-2-2-2-2-12-1-1-12-1-1-22-2-222-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1000000000000000000000
χ21222222222222222-2-2-2-2-2-2-1-12-1-1-12-12-222-2-2-1-12-1-1-1-1-122-1-11111-2-211-1-1-1-122-1-11111-2-211000000000000000000000
χ22222222222222222-2-2-2-2-2-2-1-12-1-1-12-1-22-2-222-1-12-1-1-1-1-122-1-11111-2-2111111-2-211-1-1-1-122-1-1000000000000000000000
χ23222222222222222-2-2-2-2-2-2-1-1-12-1-1-122-222-2-2-1-1-12-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122111111-2-2000000000000000000000
χ24222222222222222-2-2-2-2-2-2-1-1-12-1-1-12-22-2-222-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2-1-1-1-1-1-122000000000000000000000
χ252222222-2-222-2-2-2-22-222-2-2222222220000002222-2-2-2-2-2-2-2-22-22-22-22-20000000000000000000000000000000000000
χ262222222-2-222-2-2-2-22-222-2-22-1-1-12-1-1-10000002-1-1-1-2-21111112-2-11-11-11003−33−33−3003−33−33−3000000000000000000000
χ272222222-2-222-2-2-2-22-222-2-22-1-1-12-1-1-10000002-1-1-1-2-21111112-2-11-11-1100−33−33−3300−33−33−33000000000000000000000
χ282222222-2-222-2-2-2-22-222-2-2-12-1-1-12-1-1000000-12-1-111-2-21111-112-2-11-113−3003−3−333−3003−3−33000000000000000000000
χ292222222-2-222-2-2-2-22-222-2-2-12-1-1-12-1-1000000-12-1-111-2-21111-112-2-11-11−3300−333−3−3300−333−3000000000000000000000
χ302222222-2-222-2-2-2-22-222-2-2-1-12-1-1-12-1000000-1-12-11111-2-211-11-112-2-113−3−33003−33−3−33003−3000000000000000000000
χ312222222-2-222-2-2-2-22-222-2-2-1-12-1-1-12-1000000-1-12-11111-2-211-11-112-2-11−333−300−33−333−300−33000000000000000000000
χ322222222-2-222-2-2-2-22-222-2-2-1-1-12-1-1-12000000-1-1-12111111-2-2-11-11-112-23−33−3−33003−33−3−3300000000000000000000000
χ332222222-2-222-2-2-2-22-222-2-2-1-1-12-1-1-12000000-1-1-12111111-2-2-11-11-112-2−33−333−300−33−333−300000000000000000000000
χ342222222-2-222-2-2-2-2-22-2-222222222220000002222-2-2-2-2-2-2-2-2-22-22-22-220000000000000000000000000000000000000
χ352222222-2-222-2-2-2-2-22-2-2222-1-1-12-1-1-10000002-1-1-1-2-2111111-221-11-11-1003−33−33−300−33−33−33000000000000000000000
χ362222222-2-222-2-2-2-2-22-2-2222-1-1-12-1-1-10000002-1-1-1-2-2111111-221-11-11-100−33−33−33003−33−33−3000000000000000000000
χ372222222-2-222-2-2-2-2-22-2-222-12-1-1-12-1-1000000-12-1-111-2-211111-1-221-11-13−3003−3−33−3300−333−3000000000000000000000
χ382222222-2-222-2-2-2-2-22-2-222-12-1-1-12-1-1000000-12-1-111-2-211111-1-221-11-1−3300−333−33−3003−3−33000000000000000000000
χ392222222-2-222-2-2-2-2-22-2-222-1-12-1-1-12-1000000-1-12-11111-2-2111-11-1-221-13−3−33003−3−333−300−33000000000000000000000
χ402222222-2-222-2-2-2-2-22-2-222-1-12-1-1-12-1000000-1-12-11111-2-2111-11-1-221-1−333−300−333−3−33003−3000000000000000000000
χ412222222-2-222-2-2-2-2-22-2-222-1-1-12-1-1-12000000-1-1-12111111-2-21-11-11-1-223−33−3−3300−33−333−300000000000000000000000
χ422222222-2-222-2-2-2-2-22-2-222-1-1-12-1-1-12000000-1-1-12111111-2-21-11-11-1-22−33−333−3003−33−3−3300000000000000000000000
χ43222222-22-2-2-222-2-200000022222222000000-2-2-2-22-22-22-22-2000000000000000000000000020-200002200-2-20000000
χ44222222-22-2-2-222-2-200000022222222000000-2-2-2-22-22-22-22-20000000000000000000000000-2020000-2-200220000000
χ45222222-2-22-2-2-2-22200000022222222000000-2-2-2-2-22-22-22-2200000000000000000000000020-20002200-2-2000000000
χ46222222-2-22-2-2-2-22200000022222222000000-2-2-2-2-22-22-22-22000000000000000000000000-202000-2-20022000000000
χ4733−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i320000000033−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32
χ4833−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i320000000033−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321+i321−i321−i32-11+i321−i32
χ4933−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-3-33+3i323−3i323+3i323−3i320000000000000000000000000000000000001111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11+i321−i32
χ5033−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-3-33+3i323−3i323+3i323−3i32000000000000000000000000000000000000-1-1-1-1111+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32
χ5133−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32000000003-3−3−3i32−3+3i323+3i323−3i320000000000000000000000000000000000001-11-111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32-11+i321−i32
χ5233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32000000003-3−3−3i32−3+3i323+3i323−3i32000000000000000000000000000000000000-11-11-1-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32
χ5333−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i3200000000-333+3i323−3i32−3−3i32−3+3i320000000000000000000000000000000000001-11-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321−1−i32−1+i32
χ5433−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i3200000000-333+3i323−3i32−3−3i32−3+3i32000000000000000000000000000000000000-11-11111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i32
χ5533−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i320000000033−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32
χ5633−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i320000000033−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321−i321+i321+i32-11−i321+i32
χ5733−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-3-33−3i323+3i323−3i323+3i320000000000000000000000000000000000001111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11−i321+i32
χ5833−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-3-33−3i323+3i323−3i323+3i32000000000000000000000000000000000000-1-1-1-1111−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32
χ5933−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32000000003-3−3+3i32−3−3i323−3i323+3i320000000000000000000000000000000000001-11-111−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32-11−i321+i32
χ6033−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32000000003-3−3+3i32−3−3i323−3i323+3i32000000000000000000000000000000000000-11-11-1-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32
χ6133−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i3200000000-333−3i323+3i32−3+3i32−3−3i320000000000000000000000000000000000001-11-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321−1+i32−1−i32
χ6233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i3200000000-333−3i323+3i32−3+3i32−3−3i32000000000000000000000000000000000000-11-11111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i32
χ63444444-44-4-4-444-4-40000004-2-2-24-2-2-2000000-42224-4-22-22-22000000000000000000000000000000000000000000000
χ64444444-44-4-4-444-4-4000000-24-2-2-24-2-20000002-422-224-4-22-22000000000000000000000000000000000000000000000
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χ66444444-44-4-4-444-4-4000000-2-2-24-2-2-24000000222-4-22-22-224-4000000000000000000000000000000000000000000000
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χ7366−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i36-6−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000
χ7466−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i3-663+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000
χ7566−3−3i3−3+3i3−3−3i3−3+3i3-66-63+3i33−3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000020-20000−1−i3−1+i3001+i31−i30000000
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χ7866−3−3i3−3+3i3−3−3i3−3+3i3-6-663+3i33−3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000-2020001+i31−i300−1−i3−1+i3000000000
χ7966−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i36-6−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000
χ8066−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i3-663−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000
χ8166−3+3i3−3−3i3−3+3i3−3−3i3-66-63−3i33+3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000020-20000−1+i3−1−i3001−i31+i30000000
χ8266−3+3i3−3−3i3−3+3i3−3−3i3-66-63−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000-20200001−i31+i300−1+i3−1−i30000000
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χ8912-12−6−6i3−6+6i36+6i36−6i30000000000000000000000000000000000000000000000000000000000000000000002-200000000−1−i31+i3−1+i31−i3000
χ9012-12−6−6i3−6+6i36+6i36−6i3000000000000000000000000000000000000000000000000000000000000000000000-22000000001+i3−1−i31−i3−1+i3000
χ9112-12−6+6i3−6−6i36−6i36+6i30000000000000000000000000000000000000000000000000000000000000000000002-200000000−1+i31−i3−1−i31+i3000
χ9212-12−6+6i3−6−6i36−6i36+6i3000000000000000000000000000000000000000000000000000000000000000000000-22000000001−i3−1+i31+i3−1−i3000

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