Finite Group Databasebeta

← Group #13143737

Character table — Group #13143737

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111111111111111111111144444444444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636
order12222222336666666666666644444412121212121212121212121233336666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212224444446666121212121212121212121212
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
χ92222222222222222222222222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
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χ11222222222222222222222222222222222222222222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000000
χ12222222222222222222222222222222222222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000
χ1322222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000000000
χ1422222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000000000
χ1522222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111111111111-2-2-2-21111000000000000000000000000
χ1622222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2111111111111-2-2-2-2000000000000000000000000
χ17222222222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000000000
χ18222222222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000000000
χ19222222222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111000000000000000000000000
χ20222222222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2000000000000000000000000
χ21222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ22222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ23222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000000
χ24222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000
χ25222-2-2-2-22222222-2-2-2-2-2-2-2-2220000000000000000002222222-2222-2222-2222-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000002i−2i000000002i2i−2i−2i00000000
χ26222-2-2-2-22222222-2-2-2-2-2-2-2-2220000000000000000002222222-2222-2222-2222-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000−2i2i00000000−2i−2i2i2i00000000
χ2722-222-2-2-22222-2-22222-2-2-2-2-2-200000000000000000022222-2-2-22-2-2-22-2-2-22-2-2-222-222-222-222-20000000000000000000000000000000000000000000000000000002i−2i0000000000002i2i−2i−2i
χ2822-222-2-2-22222-2-22222-2-2-2-2-2-200000000000000000022222-2-2-22-2-2-22-2-2-22-2-2-222-222-222-222-2000000000000000000000000000000000000000000000000000000−2i2i000000000000−2i−2i2i2i
χ2922-2-2-222-22222-2-2-2-2-2-22222-2-2002i−2i0000002i2i−2i−2i000022222-2-222-2-222-2-222-2-22-2-22-2-22-2-22-2-2200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
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χ3222-2-2-222-22222-2-2-2-2-2-22222-2-2002i−2i0000002i2i−2i−2i0000-12-1-1-111-12-2-22-111-1-111-111-1-2-2211-111-133−3−3000033−3−3−3−333−i−iii2i2i−2i−2i−i−iii−i−iii−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3000000000000000000000000
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χ3822-2-2-222-22222-2-2-2-2-2-22222-2-200−2i2i000000−2i−2i2i2i000022222-2-222-2-222-2-222-2-22-2-22-2-22-2-22-2-220000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
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χ1114-444-44-4-444-4-44444-4-444-4-4-4-40000000000000000004-2-2-2-44-4-42-2222-2222-2224-44-22-2-22-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-444-44-4-444-4-44444-4-444-4-4-4-4000000000000000000-24-2-22-222-44-4-42-2222-222-22-24-44-22-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-444-44-4-444-4-44444-4-444-4-4-4-4000000000000000000-2-24-22-2222-222-44-4-42-222-22-2-22-24-44-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-444-44-4-444-4-44444-4-444-4-4-4-4000000000000000000-2-2-242-2222-2222-222-44-4-4-22-2-22-2-22-24-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-4-444-4444-4-4-4-4-4-44444-4-4440000000000000000004-2-2-2-4-44-422-2222-2222-22-4442-2-22-2-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-4-444-4444-4-4-4-4-4-44444-4-444000000000000000000-24-2-222-22-4-44-422-2222-222-2-2-4442-2-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1174-4-4-444-4444-4-4-4-4-4-44444-4-444000000000000000000-2-24-222-2222-22-4-44-422-222-2-22-2-2-4442-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1184-4-4-444-4444-4-4-4-4-4-44444-4-444000000000000000000-2-2-2422-2222-2222-22-4-44-42-2-22-2-22-2-2-444000000000000000000000000000000000000000000000000000000000000000000000000
χ119666-6-6-6-66−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i000000002ζ112ζ7−2ζ11−2ζ700000000
χ120666-6-6-6-66−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i00000000−2ζ11−2ζ72ζ112ζ700000000
χ121666-6-6-6-66−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i000000002ζ72ζ11−2ζ7−2ζ1100000000
χ122666-6-6-6-66−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i00000000−2ζ7−2ζ112ζ72ζ1100000000
χ12366-666-6-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i0000000000002ζ112ζ7−2ζ11−2ζ7
χ12466-666-6-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i000000000000−2ζ11−2ζ72ζ112ζ7
χ12566-666-6-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i0000000000002ζ72ζ11−2ζ7−2ζ11
χ12666-666-6-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i000000000000−2ζ7−2ζ112ζ72ζ11
χ12766-6-6-666-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3006i−6i0000006ζ116ζ7−6ζ11−6ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12866-6-6-666-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i300−6i6i000000−6ζ11−6ζ76ζ116ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12966-6-6-666-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3006i−6i0000006ζ76ζ11−6ζ7−6ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13066-6-6-666-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i300−6i6i000000−6ζ7−6ζ116ζ76ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1316-666-66-6-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i00000000002ζ112ζ7−2ζ11−2ζ70000
χ1326-666-66-6-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i0000000000−2ζ11−2ζ72ζ112ζ70000
χ1336-666-66-6-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i00000000002ζ72ζ11−2ζ7−2ζ110000
χ1346-666-66-6-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i0000000000−2ζ7−2ζ112ζ72ζ110000
χ1356-66-66-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300006i−6i000000006ζ116ζ7−6ζ11−6ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1366-66-66-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i30000−6i6i00000000−6ζ11−6ζ76ζ116ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1376-66-66-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300006i−6i000000006ζ76ζ11−6ζ7−6ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1386-66-66-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i30000−6i6i00000000−6ζ7−6ζ116ζ76ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1396-6-66-6-666−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i36-60000−3−3i3−3+3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1406-6-66-6-666−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3-6600003+3i33−3i3−3−3i3−3+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1416-6-66-6-666−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i36-60000−3+3i3−3−3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1426-6-66-6-666−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3-6600003−3i33+3i3−3+3i3−3−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1436-6-6-666-66−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2000000−1−i3−1+i31+i31−i3000000000000
χ1446-6-6-666-66−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-220000001+i31−i3−1−i3−1+i3000000000000
χ1456-6-6-666-66−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2000000−1+i3−1−i31−i31+i3000000000000
χ1466-6-6-666-66−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-220000001−i31+i3−1+i3−1−i3000000000000

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