Finite Group Databasebeta

← Group #13156762

Character table — Group #13156762

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order1222222233366666666666666666666633366666666666666666666622223666666622446666666666666666666666666666666612121212121212121212121212121212444444441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ9111-1-11-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1i−i11-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i1-1i−i11-1-1ii−i−iii−i−iii−i−i
χ10111-1-11-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1−ii11-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii1-1−ii11-1-1−i−iii−i−iii−i−iii
χ11111-1-11-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11i−i11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii-11i−i-1-111ii−i−i−i−iii−i−iii
χ12111-1-11-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11−ii11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−i-11−ii-1-111−i−iiiii−i−iii−i−i
χ13111-1-11-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1i−i-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i-11−ii-1-111−i−iiiii−i−i−i−iii
χ14111-1-11-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1−ii-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii-11i−i-1-111ii−i−i−i−iiiii−i−i
χ15111-1-11-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11i−i-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii1-1−ii11-1-1−i−iii−i−iiiii−i−i
χ16111-1-11-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11−ii-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−i1-1i−i11-1-1ii−i−iii−i−i−i−iii
χ172222222222-12222222222-1-1-1-1-1-12222-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1220022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002200-1-1-1-1000000000000
χ182222222222-12222222222-1-1-1-1-1-12222-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-2002222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000000000000000-2-2001111000000000000
χ192222222222-12222222222-1-1-1-1-1-12222-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1-1-1-1-12200-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000-2-2001111000000000000
χ202222222222-12222222222-1-1-1-1-1-12222-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-2-200-2-2-2-2-2-2-2-2111111111111111111111111000000000000000000002200-1-1-1-1000000000000
χ21222222222-12222-1-1-122-1-12222222-12-12-12-1-1-1-1-1-1-1222-1-1-12222-1-1-1-1-10000-1-1-1-1-1-1-1-122220000-1-1-1-10000222200000000-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-10000
χ22222222222-12222-1-1-122-1-12222222-12-12-12-1-1-1-1-1-1-1222-1-1-12222-1-1-1-1-10000-1-1-1-1-1-1-1-122-2-20000-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-2-211-2-21111111111-2-2-2-200000000000011110000
χ23222222222-12222-1-1-122-1-12222222-12-12-12-1-1-1-1-1-1-1222-1-1-12222-1-1-1-1-10000-1-1-1-1-1-1-1-1-2-222000011110000-2-2-2-2000000001111111122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000000011110000
χ24222222222-12222-1-1-122-1-12222222-12-12-12-1-1-1-1-1-1-1222-1-1-12222-1-1-1-1-10000-1-1-1-1-1-1-1-1-2-2-2-2000011110000-2-2-2-20000000011111111-2-211-2-211111111112222000000000000-1-1-1-10000
χ2522222222-122-1-1-1222-1-122222222-12-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12222-12222-1-1-1-1-1-1-1-10022-1-1-1-1000022220000-1-1-1-1-1-1-1-100000000-1-122-1-122-1-1-1-1-1-1-1-1000000220000-1-1-1-100000000
χ2622222222-122-1-1-1222-1-122222222-12-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12222-12222-1-1-1-1-1-1-1-100-2-2-1-1-1-1000022220000-1-1-1-1-1-1-1-10000000011-2-211-2-211111111000000-2-20000111100000000
χ2722222222-122-1-1-1222-1-122222222-12-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12222-1-2-2-2-2-1-1-1-1-1-1-1-1002211110000-2-2-2-200001111111100000000-1-122-1-122-1-1-1-1-1-1-1-1000000-2-20000111100000000
χ2822222222-122-1-1-1222-1-122222222-12-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12222-1-2-2-2-2-1-1-1-1-1-1-1-100-2-211110000-2-2-2-20000111111110000000011-2-211-2-211111111000000220000-1-1-1-100000000
χ29222-2-22-2-222-1222222-2-2-2-2-1-11111-2-2-2-2-12-1-1222-2-2-2-1-1-1-1-1-111111111-222-2-2-1-1-1-111112-20022-2-222-2-2-1-111-1-111-1-1-1-11111-1-1-1-11111000000000000000000002-200-1-111000000000000
χ30222-2-22-2-222-1222222-2-2-2-2-1-11111-2-2-2-2-12-1-1222-2-2-2-1-1-1-1-1-111111111-222-2-2-1-1-1-11111-220022-2-2-2-222-1-11111-1-1-1-1-1-111111111-1-1-1-100000000000000000000-220011-1-1000000000000
χ31222-2-22-2-222-1222222-2-2-2-2-1-11111-2-2-2-2-12-1-1222-2-2-2-1-1-1-1-1-111111111-2-2-222-1-1-1-111112-200-2-22222-2-211-1-1-1-1111111-1-1-1-1-1-1-1-1111100000000000000000000-220011-1-1000000000000
χ32222-2-22-2-222-1222222-2-2-2-2-1-11111-2-2-2-2-12-1-1222-2-2-2-1-1-1-1-1-111111111-2-2-222-1-1-1-11111-2200-2-222-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-1000000000000000000002-200-1-111000000000000
χ33222-2-22-2-22-12222-1-1-1-2-21122-2-2-2-2-21-212-12-1-1-1-1111222-1-1-1-2-2-2-2111110000-1-1-1-111112-22i−2i0000-1-111000022-2-200000000-1-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii2i2i−2i−2i000000000000−i−iii0000
χ34222-2-22-2-22-12222-1-1-1-2-21122-2-2-2-2-21-212-12-1-1-1-1111222-1-1-1-2-2-2-2111110000-1-1-1-111112-2−2i2i0000-1-111000022-2-200000000-1-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i−2i−2i2i2i000000000000ii−i−i0000
χ35222-2-22-2-22-12222-1-1-1-2-21122-2-2-2-2-21-212-12-1-1-1-1111222-1-1-1-2-2-2-2111110000-1-1-1-11111-222i−2i000011-1-10000-2-222000000001111-1-1-1-12i2i−i−i−2i−2iii−i−i−i−iiiii−2i−2i2i2i000000000000ii−i−i0000
χ36222-2-22-2-22-12222-1-1-1-2-21122-2-2-2-2-21-212-12-1-1-1-1111222-1-1-1-2-2-2-2111110000-1-1-1-11111-22−2i2i000011-1-10000-2-222000000001111-1-1-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i2i2i−2i−2i000000000000−i−iii0000
χ37222-2-22-2-2-122-1-1-122211-2-222-2-2-2-21-21-22-1-12-1-1-1111-1-1-12221111-2-2-2-2122-2-2-1-1-1-11111002i−2i-1-111000022-2-20000-1-1-1-1111100000000−i−i2i2iii−2i−2i−i−i−i−iiiii0000002i−2i0000−i−iii00000000
χ38222-2-22-2-2-122-1-1-122211-2-222-2-2-2-21-21-22-1-12-1-1-1111-1-1-12221111-2-2-2-2122-2-2-1-1-1-1111100−2i2i-1-111000022-2-20000-1-1-1-1111100000000ii−2i−2i−i−i2i2iiiii−i−i−i−i000000−2i2i0000ii−i−i00000000
χ39222-2-22-2-2-122-1-1-122211-2-222-2-2-2-21-21-22-1-12-1-1-1111-1-1-12221111-2-2-2-21-2-222-1-1-1-11111002i−2i11-1-10000-2-22200001111-1-1-1-100000000−i−i2i2iii−2i−2i−i−i−i−iiiii000000−2i2i0000ii−i−i00000000
χ40222-2-22-2-2-122-1-1-122211-2-222-2-2-2-21-21-22-1-12-1-1-1111-1-1-12221111-2-2-2-21-2-222-1-1-1-1111100−2i2i11-1-10000-2-22200001111-1-1-1-100000000ii−2i−2i−i−i2i2iiiii−i−i−i−i0000002i−2i0000−i−iii00000000
χ4122-222-2-2-22222-2-22-2-22-22-22-222-2-222-2-2-22222-2-22-2-22-2-22-2-222-2-222-2-22000022-2-222-2-20000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ4222-222-2-2-22222-2-22-2-22-22-22-222-2-222-2-2-22222-2-22-2-22-2-22-2-222-2-222-2-22000022-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ4322-2-2-2-2222222-2-22-2-2-22-222-2-2-222-2-222-22222-2-2-2222-2-22-2-2-2-222-2-222-2000022-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000000000002-2-22
χ4422-2-2-2-2222222-2-22-2-2-22-222-2-2-222-2-222-22222-2-2-2222-2-22-2-2-2-222-2-222-2000022-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000-222-2
χ452-222-2-22-2222-22-2-22-22-222-222-22-2-2-22-2-2222-22-222-2-22-2-22-22-22-22-22-2-200002-22-22-22-200000000000000000000000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000
χ462-222-2-22-2222-22-2-22-22-222-222-22-2-2-22-2-2222-22-222-2-22-2-22-22-22-22-22-2-200002-22-22-22-20000000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000
χ472-222-2-22-22-12-22-21-112-2-1-1-222-22-2-2121-2-12-11-11-1-11-22-21-112-22-2-11-1110000-11-11-11-1100000000−i3i3−i3i30000000000000000−i3−i3i3i3−i3−i3i3i3003−3003−333−3−333−3−32i−2i2i−2i000000000000−ii−ii0000
χ482-222-2-22-22-12-22-21-112-2-1-1-222-22-2-2121-2-12-11-11-1-11-22-21-112-22-2-11-1110000-11-11-11-1100000000−i3i3−i3i30000000000000000−i3−i3i3i3−i3−i3i3i300−3300−33−3−333−3−333−2i2i−2i2i000000000000i−ii−i0000
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χ502-222-2-22-22-12-22-21-112-2-1-1-222-22-2-2121-2-12-11-11-1-11-22-21-112-22-2-11-1110000-11-11-11-1100000000i3−i3i3−i30000000000000000i3i3−i3−i3i3i3−i3−i300−3300−33−3−333−3−3332i−2i2i−2i000000000000−ii−ii0000
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χ532-22-22-2-222-12-22-21-11-2211-22-22-222-1-2-1-2-12-11-1111-1-22-21-11-22-221-11-1-10000-11-111-11-100000000−i3i3i3−i30000000000000000−i3−i3i3i3i3i3−i3−i300−i3i300i3−i3−i3−i3i3i3i3i3−i3−i32-2-22000000000000-111-10000
χ542-22-22-2-222-12-22-21-11-2211-22-22-222-1-2-1-2-12-11-1111-1-22-21-11-22-221-11-1-10000-11-111-11-100000000−i3i3i3−i30000000000000000−i3−i3i3i3i3i3−i3−i300i3−i300−i3i3i3i3−i3−i3−i3−i3i3i3-222-20000000000001-1-110000
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χ562-22-22-2-222-12-22-21-11-2211-22-22-222-1-2-1-2-12-11-1111-1-22-21-11-22-221-11-1-10000-11-111-11-100000000i3−i3−i3i30000000000000000i3i3−i3−i3−i3−i3i3i300i3−i300−i3i3i3i3−i3−i3−i3−i3i3i32-2-22000000000000-111-10000
χ572-2-22-22-22222-2-22-2-22222-2-2-22-2-22-2-2-222222-2-222-22-2-22-2-222-2-222-2-22-22-22-22-2-222-2-2200002-22-200002-22-2000022-2-222-2-2000000000000000000000000000000000000000000000000
χ582-2-22-22-22222-2-22-2-22222-2-2-22-2-22-2-2-222222-2-222-22-2-22-2-222-2-222-2-22-2-22-222-2-222-2-220000-22-220000-22-220000-2-222-2-222000000000000000000000000000000000000000000000000
χ592-2-22-22-2222-1-2-22-2-22222-211-111-1-2-2-22-12-1-1-2-222-2211-111-1-111-1-111-1-22-22-2-111-1-111-100002-22-20000-11-11−i3i3−i3i3-1-111-1-111−i3i3−i3i3−i3i3−i3i3000000000000000000000000−i3i3−i3i3000000000000
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χ1428-88-88-8-88-4-4-44-444-444-4444-44-44-4-4-44-44222-22-2-2-22-22-2-22-2-22-22-22-2220000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-88-88-4-4-444-444-4-4-4-4444-444-4444-4-4222-2-222-22-2-22-2-222-2-222-2-22-20000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-8888-8-4-4-444-444-4444-4444-4-44-4-4-44-4222-2-22-22-2-2-22-2-22-222-2-222-220000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000

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