Finite Group Databasebeta

← Group #13144449

Character table — Group #13144449

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111222222222444444444444666666666666666688812121212121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636363636727272727272
order12336622266666622246666661212333366666666666641212666666666666666666666666666612121212121212121212121222446666121212124412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-11111-1-1-1-11111111111111111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11-111-1-1
χ411111111111111111-1-11111-1-1-1-11111111111111111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11-1-111
χ5111111111111111-1-111-1-1-1-111111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ6111111111111111-1-111-1-1-1-111111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-11-1-111
χ8111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1111-111-1-1
χ92222222222222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1000000000000000000
χ10222222222222222222222222222-12-1-1-1-1-1222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1000000000000000000
χ11222222222222222222222222222-1-12-1-1-1-1-1-1-1222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-1-1-122-1-1000000000000000000
χ12222222222222222222222222222-1-1-12-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-1-1-1-122000000000000000000
χ1322222222222222222-2-22222-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2111-2111-2-2111111000000000000000000
χ1422222222222222222-2-22222-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11-2111-21111-2-21111000000000000000000
χ1522222222222222222-2-22222-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1-2-2-2-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-111-2111-211111-2-211000000000000000000
χ1622222222222222222-2-22222-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222111-2111-2111111-2-2000000000000000000
χ17222222222222222-2-222-2-2-2-222222-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-222-1-1-1-1-1-1-2-2-2-21111111111112-1-1-12-1-1-1-2-2111111000000000000000000
χ18222222222222222-2-222-2-2-2-22222-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-1-122-1-1-1-11111-2-2-2-211111111-12-1-1-12-1-111-2-21111000000000000000000
χ19222222222222222-2-222-2-2-2-22222-1-12-1-1-1-1-1-1-1222-1-1-1-2-2-2-1-1-1-122-1-111111111-2-2-2-21111-1-12-1-1-12-11111-2-211000000000000000000
χ20222222222222222-2-222-2-2-2-22222-1-1-12-1-1-1-1-1-1-1-1-1222-2-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-12-1-1-12111111-2-2000000000000000000
χ21222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-2-2-2-2111111111111-2111-211122-1-1-1-1-1-1000000000000000000
χ22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1222-1-122-1-1-1-11111-2-2-2-2111111111-2111-211-1-122-1-1-1-1000000000000000000
χ23222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1222-1-1-1-122-1-111111111-2-2-2-2111111-2111-21-1-1-1-122-1-1000000000000000000
χ24222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122111111111111-2-2-2-2111-2111-2-1-1-1-1-1-122000000000000000000
χ252222222-2-222-2-2-2-2002-2000022-2-22222222222222222000-2-2-2-2-2-2-2-200000000000000002222-2-2-2-200000000000000000000000000
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χ272222222-2-222-2-2-2-2002-2000022-2-22-1-1-1222-1-1-1-1-1-1-1-1-1000-2-21111110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-1-1-1-211100−i3i3−i3i3−i3i3000000000000000000
χ282222222-2-222-2-2-2-2002-2000022-2-2-12-1-1-1-1-1222-1-1-1-1-1-100011-2-21111i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3-12-1-11-211i3−i300i3−i3−i3i3000000000000000000
χ292222222-2-222-2-2-2-2002-2000022-2-2-12-1-1-1-1-1222-1-1-1-1-1-100011-2-21111−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3-12-1-11-211−i3i300−i3i3i3−i3000000000000000000
χ302222222-2-222-2-2-2-2002-2000022-2-2-1-12-1-1-1-1-1-1-1222-1-1-10001111-2-211i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3-1-12-111-21i3−i3−i3i300i3−i3000000000000000000
χ312222222-2-222-2-2-2-2002-2000022-2-2-1-12-1-1-1-1-1-1-1222-1-1-10001111-2-211−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3-1-12-111-21−i3i3i3−i300−i3i3000000000000000000
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χ332222222-2-222-2-2-2-2002-2000022-2-2-1-1-12-1-1-1-1-1-1-1-1-1222000111111-2-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000-1-1-12111-2−i3i3−i3i3i3−i300000000000000000000
χ342222222-2-222-2-2-2-200-220000-2-2222222222222222222000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222200000000000000000000000000
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χ382222222-2-222-2-2-2-200-220000-2-222-12-1-1-1-1-1222-1-1-1-1-1-100011-2-21111−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i31-211-12-1-1i3−i300i3−i3−i3i3000000000000000000
χ392222222-2-222-2-2-2-200-220000-2-222-1-12-1-1-1-1-1-1-1222-1-1-10001111-2-211i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i311-21-1-12-1−i3i3i3−i300−i3i3000000000000000000
χ402222222-2-222-2-2-2-200-220000-2-222-1-12-1-1-1-1-1-1-1222-1-1-10001111-2-211−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i311-21-1-12-1i3−i3−i3i300i3−i3000000000000000000
χ412222222-2-222-2-2-2-200-220000-2-222-1-1-12-1-1-1-1-1-1-1-1-1222000111111-2-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000111-2-1-1-12−i3i3−i3i3i3−i300000000000000000000
χ422222222-2-222-2-2-2-200-220000-2-222-1-1-12-1-1-1-1-1-1-1-1-1222000111111-2-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000111-2-1-1-12i3−i3i3−i3−i3i300000000000000000000
χ43222222-22-2-2-222-2-200000000000022222-2-22-2-22-2-22-2-20002-22-22-22-200000000000000000000000000000000020-2002200-2-2000000
χ44222222-22-2-2-222-2-200000000000022222-2-22-2-22-2-22-2-20002-22-22-22-2000000000000000000000000000000000-20200-2-20022000000
χ45222222-2-22-2-2-2-22200000000000022222-2-22-2-22-2-22-2-2000-22-22-22-220000000000000000000000000000000020-202200-2-200000000
χ46222222-2-22-2-2-2-22200000000000022222-2-22-2-22-2-22-2-2000-22-22-22-2200000000000000000000000000000000-2020-2-2002200000000
χ4733−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000003−3+3i32−3−3i3200000000000000000000000000000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ4833−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000003−3+3i32−3−3i320000000000000000000000000000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-11−i321+i321−i321+i32
χ4933−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233-3-3−3+3i32−3+3i32−3−3i32−3−3i323−3i323+3i323−3i323+3i320000000000000000-33−3i323+3i3200000000000000000000000000000000000000001-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321-1−1+i32−1−i321−i321+i32
χ5033−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233-3-3−3+3i32−3+3i32−3−3i32−3−3i323−3i323+3i323−3i323+3i320000000000000000-33−3i323+3i320000000000000000000000000000000000000000-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-111−i321+i32−1+i32−1−i32
χ5133−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3333−3i323−3i323+3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i320000000000000000-33−3i323+3i3200000000000000000000000000000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321+i321−i321+i32
χ5233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3333−3i323−3i323+3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i320000000000000000-33−3i323+3i320000000000000000000000000000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3211−1+i32−1−i32−1+i32−1−i32
χ5333−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-33−3i323−3i323+3i323+3i323−3i323+3i323−3i323+3i3200000000000000003−3+3i32−3−3i3200000000000000000000000000000000000000001-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32-111−i321+i32−1+i32−1−i32
χ5433−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-33−3i323−3i323+3i323+3i323−3i323+3i323−3i323+3i3200000000000000003−3+3i32−3−3i320000000000000000000000000000000000000000-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321-1−1+i32−1−i321−i321+i32
χ5533−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000000000003−3−3i32−3+3i3200000000000000000000000000000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ5633−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000000000003−3−3i32−3+3i320000000000000000000000000000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321−i321+i321−i32
χ5733−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233-3-3−3−3i32−3−3i32−3+3i32−3+3i323+3i323−3i323+3i323−3i320000000000000000-33+3i323−3i3200000000000000000000000000000000000000001-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321-1−1−i32−1+i321+i321−i32
χ5833−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233-3-3−3−3i32−3−3i32−3+3i32−3+3i323+3i323−3i323+3i323−3i320000000000000000-33+3i323−3i320000000000000000000000000000000000000000-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-111+i321−i32−1−i32−1+i32
χ5933−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-3333+3i323+3i323−3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i320000000000000000-33+3i323−3i3200000000000000000000000000000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321−i321+i321−i32
χ6033−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-3333+3i323+3i323−3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i320000000000000000-33+3i323−3i320000000000000000000000000000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1+i32−1−i32−1+i32
χ6133−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-33+3i323+3i323−3i323−3i323+3i323−3i323+3i323−3i3200000000000000003−3−3i32−3+3i3200000000000000000000000000000000000000001-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-111+i321−i32−1−i32−1+i32
χ6233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-33+3i323+3i323−3i323−3i323+3i323−3i323+3i323−3i3200000000000000003−3−3i32−3+3i320000000000000000000000000000000000000000-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321-1−1−i32−1+i321+i321−i32
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χ824-444-4-4000000000-2200-22-2200004-2-2-2-4002−2i32i32−2i32i32−2i32i300000000000-22-221+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i30000000000000000000000000000000000
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χ874-444-4-4000000000-2200-22-220000-2-2-2422i3−2i322i3−2i32−2i32i3-400000000000001−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i3-22-220000000000000000000000000000000000
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χ8966−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i3006-60000−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ9066−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i300-6600003−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ9166−3+3i3−3−3i3−3+3i3−3−3i3-66-63−3i33+3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000020-200−1+i3−1−i3001−i31+i3000000
χ9266−3+3i3−3−3i3−3+3i3−3−3i3-66-63−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000-202001−i31+i300−1+i3−1−i3000000
χ9366−3+3i3−3−3i3−3+3i3−3−3i3-6-663−3i33+3i33−3i33+3i3−3+3i3−3−3i30000000000000000000000000000000000000000000000000000000000000000000000020-20−1+i3−1−i3001−i31+i300000000
χ9466−3+3i3−3−3i3−3+3i3−3−3i3-6-663−3i33+3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000-20201−i31+i300−1+i3−1−i300000000
χ9566−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i3006-60000−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ9666−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i300-6600003+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ9766−3−3i3−3+3i3−3−3i3−3+3i3-66-63+3i33−3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000020-200−1−i3−1+i3001+i31−i3000000
χ9866−3−3i3−3+3i3−3−3i3−3+3i3-66-63+3i33−3i3−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000-202001+i31−i300−1−i3−1+i3000000
χ9966−3−3i3−3+3i3−3−3i3−3+3i3-6-663+3i33−3i33+3i33−3i3−3−3i3−3+3i30000000000000000000000000000000000000000000000000000000000000000000000020-20−1−i3−1+i3001+i31−i300000000
χ10066−3−3i3−3+3i3−3−3i3−3+3i3-6-663+3i33−3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000-20201+i31−i300−1−i3−1+i300000000
χ10112-12−6+6i3−6−6i36−6i36+6i30000000006-600−3+3i33−3i3−3−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10212-12−6+6i3−6−6i36−6i36+6i3000000000-66003−3i3−3+3i33+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12−6−6i3−6+6i36+6i36−6i30000000006-600−3−3i33+3i3−3+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12−6−6i3−6+6i36+6i36−6i3000000000-66003+3i3−3−3i33−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000

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