Finite Group Databasebeta

← Group #13144829

Character table — Group #13144829

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111111111111111111111144444444444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636
order12222222336666666666666622224466666666121212123333666666666666666666666666666666666666666666666666666666666666121212121212121212121212121212124444444412121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ92222222222222222222222222222222222222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
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χ1322222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000000000
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χ104444-44-4-4-4444444-4-444-4-4-4-4-4-4000000000000000000-24-2-2-2-2-2222444-4-4-4-2-2-2222-2-2-22222-422000000000000000000000000000000000000000000000000000000000000000000000000
χ105444-44-4-4-4444444-4-444-4-4-4-4-4-4000000000000000000-2-24-2-2-2-2222-2-2-2222444-4-4-4-2-2-222222-42000000000000000000000000000000000000000000000000000000000000000000000000
χ106444-44-4-4-4444444-4-444-4-4-4-4-4-4000000000000000000-2-2-24-2-2-2222-2-2-2222-2-2-2222444-4-4-4222-4000000000000000000000000000000000000000000000000000000000000000000000000
χ10744-44-44-4-44444-4-444-4-444-4-4-4-40000000000000000004-2-2-24-4-444-4-222-2-22-222-2-22-222-2-22-4222000000000000000000000000000000000000000000000000000000000000000000000000
χ10844-44-44-4-44444-4-444-4-444-4-4-4-4000000000000000000-24-2-2-222-2-224-4-444-4-222-2-22-222-2-222-422000000000000000000000000000000000000000000000000000000000000000000000000
χ10944-44-44-4-44444-4-444-4-444-4-4-4-4000000000000000000-2-24-2-222-2-22-222-2-224-4-444-4-222-2-2222-42000000000000000000000000000000000000000000000000000000000000000000000000
χ11044-44-44-4-44444-4-444-4-444-4-4-4-4000000000000000000-2-2-24-222-2-22-222-2-22-222-2-224-4-444-4222-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-444-4-44-444-4-44444-4-4-4-444-4-40000000000000000004-2-2-2-44-44-442-22-22-22-22-22-22-22-22-2-4222000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-444-4-44-444-4-44444-4-4-4-444-4-4000000000000000000-24-2-22-22-22-2-44-44-442-22-22-22-22-22-22-422000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-444-4-44-444-4-44444-4-4-4-444-4-4000000000000000000-2-24-22-22-22-22-22-22-2-44-44-442-22-22-222-42000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-444-4-44-444-4-44444-4-4-4-444-4-4000000000000000000-2-2-242-22-22-22-22-22-22-22-22-2-44-44-44222-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-4-4444-444-4-4-4-4-4-4444444-4-40000000000000000004-2-2-2-4-44-44422-22-2-222-22-2-222-22-2-2-4222000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-4-4444-444-4-4-4-4-4-4444444-4-4000000000000000000-24-2-222-22-2-2-4-44-44422-22-2-222-22-2-22-422000000000000000000000000000000000000000000000000000000000000000000000000
χ1174-4-4-4444-444-4-4-4-4-4-4444444-4-4000000000000000000-2-24-222-22-2-222-22-2-2-4-44-44422-22-2-222-42000000000000000000000000000000000000000000000000000000000000000000000000
χ1184-4-4-4444-444-4-4-4-4-4-4444444-4-4000000000000000000-2-2-2422-22-2-222-22-2-222-22-2-2-4-44-444222-4000000000000000000000000000000000000000000000000000000000000000000000000
χ119666-66-6-6-6−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i0000000000002ζ112ζ7−2ζ11−2ζ7
χ120666-66-6-6-6−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i000000000000−2ζ11−2ζ72ζ112ζ7
χ121666-66-6-6-6−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i0000000000002ζ72ζ11−2ζ7−2ζ11
χ122666-66-6-6-6−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i000000000000−2ζ7−2ζ112ζ72ζ11
χ12366-66-66-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i00000000002ζ112ζ7−2ζ11−2ζ70000
χ12466-66-66-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i0000000000−2ζ11−2ζ72ζ112ζ70000
χ12566-66-66-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i00000000002ζ72ζ11−2ζ7−2ζ110000
χ12666-66-66-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i0000000000−2ζ7−2ζ112ζ72ζ110000
χ12766-6-6-6-666−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i36-60000−3−3i3−3+3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12866-6-6-6-666−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3-6600003+3i33−3i3−3−3i3−3+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12966-6-6-6-666−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i36-60000−3+3i3−3−3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13066-6-6-6-666−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3-6600003−3i33+3i3−3+3i3−3−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1316-666-6-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i000000002ζ112ζ7−2ζ11−2ζ700000000
χ1326-666-6-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i00000000−2ζ11−2ζ72ζ112ζ700000000
χ1336-666-6-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i000000002ζ72ζ11−2ζ7−2ζ1100000000
χ1346-666-6-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i00000000−2ζ7−2ζ112ζ72ζ1100000000
χ1356-66-6-66-66−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3006-6000000−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1366-66-6-66-66−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i300-660000003+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1376-66-6-66-66−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3006-6000000−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1386-66-6-66-66−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i300-660000003−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1396-6-666-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i300006-600000000−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1406-6-666-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i30000-66000000003+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1416-6-666-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i300006-600000000−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1426-6-666-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i30000-66000000003−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1436-6-6-6666-6−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2000000−1−i3−1+i31+i31−i3000000000000
χ1446-6-6-6666-6−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-220000001+i31−i3−1−i3−1+i3000000000000
χ1456-6-6-6666-6−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2000000−1+i3−1−i31−i31+i3000000000000
χ1466-6-6-6666-6−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-220000001−i31+i3−1+i3−1−i3000000000000

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