Finite Group Databasebeta

← Group #11792264

Character table — Group #11792264

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222222222444444444444444488888888888824242424242424241111222222222222224444444444444444888888888888242424242424242411112222222222222244444444444444448888888888882424242424242424
order122222344446666666444412121212121212121212121244441212121212121212224488883666663121212126666666121212121212121212121212121212121212121212121212121212126612122424242436666631212121266666661212121212121212121212121212121212121212121212121212121266121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ5111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-11-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-11-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-11-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1111-1-1
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χ14222222-12222-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-1-2-2221111-1-1-1-100000000222222-12222-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-1-2-2221111-1-1-1-100000000222222-12222-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-1-2-2221111-1-1-1-100000000
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χ322-2-222-2-1-2-2221-1-1111-1000033−3−3−3−3331-11-100-22−333−31-11-1000000002-2-222-2-1-2-2221-1-1111-1000033−3−3−3−3331-11-100-22−333−31-11-1000000002-2-222-2-1-2-2221-1-1111-1000033−3−3−3−3331-11-100-22−333−31-11-100000000
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χ119222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ120222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
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χ1402-2-222-2-1-2-2221-1-1111-1000033−3−3−3−3331-11-100-22−333−31-11-100000000−1−i31+i31+i3−1−i3−1−i31+i31+i321+i31+i3−1−i3−1−i3−1−i321+i321+i32−1−i32−1−i32−1−i321+i3200002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−1−i321+i32−1−i321+i32001+i3−1−i3−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−1−i321+i32−1−i321+i3200000000−1+i31−i31−i3−1+i3−1+i31−i31−i321−i31−i3−1+i3−1+i3−1+i321−i321−i32−1+i32−1+i32−1+i321−i320000−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−1+i321−i32−1+i321−i32001−i3−1+i3ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−1+i321−i32−1+i321−i3200000000
χ1412-2-222-2-1-2-2221-1-1111-10000−3−33333−3−31-11-1002-2−333−3-11-1100000000−1−i31+i31+i3−1−i3−1−i31+i31+i321+i31+i3−1−i3−1−i3−1−i321+i321+i32−1−i32−1−i32−1−i321+i320000−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−1−i321+i32−1−i321+i3200−1−i31+i3−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ111+i32−1−i321+i32−1−i3200000000−1+i31−i31−i3−1+i3−1+i31−i31−i321−i31−i3−1+i3−1+i3−1+i321−i321−i32−1+i32−1+i32−1+i321−i320000ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−1+i321−i32−1+i321−i3200−1+i31−i3ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ111−i32−1+i321−i32−1+i3200000000
χ1422-2-222-2-1-2-2221-1-1111-10000−3−33333−3−31-11-100-223−3−331-11-100000000−1−i31+i31+i3−1−i3−1−i31+i31+i321+i31+i3−1−i3−1−i3−1−i321+i321+i32−1−i32−1−i32−1−i321+i320000−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−1−i321+i32−1−i321+i32001+i3−1−i32ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−1−i321+i32−1−i321+i3200000000−1+i31−i31−i3−1+i3−1+i31−i31−i321−i31−i3−1+i3−1+i3−1+i321−i321−i32−1+i32−1+i32−1+i321−i320000ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−1+i321−i32−1+i321−i32001−i3−1+i3−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−1+i321−i32−1+i321−i3200000000
χ1432-2-22-2222-2-22-2-2-222-220000000000002-2-220000000000000000002-2−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i3000000000000−1−i31+i31+i3−1−i3000000000000000000−1−i31+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i3000000000000−1+i31−i31−i3−1+i3000000000000000000−1+i31−i3
χ1442-2-22-2222-2-22-2-2-222-220000000000002-2-22000000000000000000-22−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i3000000000000−1−i31+i31+i3−1−i30000000000000000001+i3−1−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i3000000000000−1+i31−i31−i3−1+i30000000000000000001−i3−1+i3
χ1452-2-22-222-222-2-2-2-222-22000000000000-222-200000000000000002-200−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i30000000000001+i3−1−i3−1−i31+i30000000000000000−1−i31+i300−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i30000000000001−i3−1+i3−1+i31−i30000000000000000−1+i31−i300
χ1462-2-22-222-222-2-2-2-222-22000000000000-222-20000000000000000-2200−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i30000000000001+i3−1−i3−1−i31+i300000000000000001+i3−1−i300−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i30000000000001−i3−1+i3−1+i31−i300000000000000001−i3−1+i300
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χ1484444-4-4-2-44-44-22222-2-200000000000022-2-200000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i32+2i3−2−2i32+2i3−2−2i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3000000000000−1−i3−1−i31+i31+i300000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i32−2i3−2+2i32−2i3−2+2i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3000000000000−1+i3−1+i31−i31−i300000000000000000000
χ14944-4-4004000040000-4-42-22-22-22-22-22-2000000000000000000000000−2−2i3−2−2i32+2i32+2i300−2−2i30000−2−2i300002+2i32+2i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3000000000000000000000000−2+2i3−2+2i32−2i32−2i300−2+2i30000−2+2i300002−2i32−2i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3000000000000000000000000
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χ1554-44-40040000-400004-42i−2i−2i2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000−2−2i32+2i3−2−2i32+2i300−2−2i300002+2i30000−2−2i32+2i32ζ11−2ζ11−2ζ112ζ112ζ11−2ζ11−2ζ112ζ112ζ11−2ζ11−2ζ112ζ11000000000000000000000000−2+2i32−2i3−2+2i32−2i300−2+2i300002−2i30000−2+2i32−2i32ζ7−2ζ7−2ζ72ζ72ζ7−2ζ7−2ζ72ζ72ζ7−2ζ7−2ζ72ζ7000000000000000000000000
χ1564-44-40040000-400004-4−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000−2−2i32+2i3−2−2i32+2i300−2−2i300002+2i30000−2−2i32+2i3−2ζ112ζ112ζ11−2ζ11−2ζ112ζ112ζ11−2ζ11−2ζ112ζ112ζ11−2ζ11000000000000000000000000−2+2i32−2i3−2+2i32−2i300−2+2i300002−2i30000−2+2i32−2i3−2ζ72ζ72ζ7−2ζ7−2ζ72ζ72ζ7−2ζ7−2ζ72ζ72ζ7−2ζ7000000000000000000000000
χ1574-44-400-200002−2i32i32i3−2i3-222i−2i−2i2i2ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−2ζ72ζ7000000000000000000000000−2−2i32+2i3−2−2i32+2i3001+i30000−1−i3−3+i33−i33−i3−3+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−2ζ72ζ72i−2i−2i2i000000000000000000000000−2+2i32−2i3−2+2i32−2i3001−i30000−1+i33+i3−3−i3−3−i33+i31−i3−1+i32ζ7−2ζ7−2ζ72ζ72i−2i−2i2i2ζ11−2ζ11−2ζ112ζ11000000000000000000000000
χ1584-44-400-200002−2i32i32i3−2i3-22−2i2i2i−2i−2ζ112ζ112ζ11−2ζ11−2ζ72ζ72ζ7−2ζ7000000000000000000000000−2−2i32+2i3−2−2i32+2i3001+i30000−1−i3−3+i33−i33−i3−3+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ11−2ζ72ζ72ζ7−2ζ7−2i2i2i−2i000000000000000000000000−2+2i32−2i3−2+2i32−2i3001−i30000−1+i33+i3−3−i3−3−i33+i31−i3−1+i3−2ζ72ζ72ζ7−2ζ7−2i2i2i−2i−2ζ112ζ112ζ11−2ζ11000000000000000000000000
χ1594-44-400-2000022i3−2i3−2i32i3-222i−2i−2i2i2ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ11000000000000000000000000−2−2i32+2i3−2−2i32+2i3001+i30000−1−i33−i3−3+i3−3+i33−i31+i3−1−i32ζ11−2ζ11−2ζ112ζ112i−2i−2i2i2ζ7−2ζ7−2ζ72ζ7000000000000000000000000−2+2i32−2i3−2+2i32−2i3001−i30000−1+i3−3−i33+i33+i3−3−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ112i−2i−2i2i000000000000000000000000
χ1604-44-400-2000022i3−2i3−2i32i3-22−2i2i2i−2i−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ11000000000000000000000000−2−2i32+2i3−2−2i32+2i3001+i30000−1−i33−i3−3+i3−3+i33−i31+i3−1−i3−2ζ112ζ112ζ11−2ζ11−2i2i2i−2i−2ζ72ζ72ζ7−2ζ7000000000000000000000000−2+2i32−2i3−2+2i32−2i3001−i30000−1+i3−3−i33+i33+i3−3−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ11−2i2i2i−2i000000000000000000000000
χ1614-4-44-44-24-4-44222-2-22-2000000000000-222-200000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i31+i3−2−2i32+2i32+2i3−2−2i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i30000000000001+i3−1−i3−1−i31+i300000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i31−i3−2+2i32−2i32−2i3−2+2i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i30000000000001−i3−1+i3−1+i31−i300000000000000000000
χ1624-4-44-44-2-444-4222-2-22-20000000000002-2-2200000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i31+i32+2i3−2−2i3−2−2i32+2i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3000000000000−1−i31+i31+i3−1−i300000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i31−i32−2i3−2+2i3−2+2i32−2i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3000000000000−1+i31−i31−i3−1+i300000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.