Finite Group Databasebeta

← Group #13159321

Character table — Group #13159321

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111222222222222222222444444444444444444444444441818181836362222444444444444444444888888888888888888888888883636363672723333666666666666666666121212121212121212121212121212121212121212121212121254545454108108
order1222333344666666666666441212121212121212121212121212121212121212121212128888443666333312126666666666661212121212121212121212121212121212121212121212121212242424241212222266664466666666666644121212121212121212121212121212121212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-11111-11-1-1-1-11111-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1i−i11-1-11111-11-1-1-1-11111-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1i−i11-1-11111-11-1-1-1-11111-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1i−i
χ611-1-11111-11-1-1-1-11111-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−ii11-1-11111-11-1-1-1-11111-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−ii11-1-11111-11-1-1-1-11111-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−ii
χ711-1-11111-11-1-1-1-11111-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−ii11-1-11111-11-1-1-1-11111-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−ii11-1-11111-11-1-1-1-11111-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−ii
χ811-1-11111-11-1-1-1-11111-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111i−i11-1-11111-11-1-1-1-11111-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111i−i11-1-11111-11-1-1-1-11111-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111i−i
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χ1022222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000022222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000022222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000
χ1122222-1-1-1222-1-1-12-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-211111100000022222-1-1-1222-1-1-12-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-211111100000022222-1-1-1222-1-1-12-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-2111111000000
χ1222222-1-1-1-2-22-1-1-12-1-1-12-1-1-100-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000022222-1-1-1-2-22-1-1-12-1-1-12-1-1-100-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000022222-1-1-1-2-22-1-1-12-1-1-12-1-1-100-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000
χ1322222-1-1-1-2-22-1-1-12-1-1-12-1-1-100-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000022222-1-1-1-2-22-1-1-12-1-1-12-1-1-100-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000022222-1-1-1-2-22-1-1-12-1-1-12-1-1-100-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000
χ142222-12-1-122-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-10000002222-12-1-122-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-10000002222-12-1-122-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1000000
χ152222-12-1-122-12-1-1-12-1-1-12-1-1-2-2-12-1-1-12-1-111-211-21111-211-2110000002222-12-1-122-12-1-1-12-1-1-12-1-1-2-2-12-1-1-12-1-111-211-21111-211-2110000002222-12-1-122-12-1-1-12-1-1-12-1-1-2-2-12-1-1-12-1-111-211-21111-211-211000000
χ162222-12-1-1-2-2-12-1-1-12-1-1-12-1-1001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000002222-12-1-1-2-2-12-1-1-12-1-1-12-1-1001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000002222-12-1-1-2-2-12-1-1-12-1-1-12-1-1001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000
χ172222-12-1-1-2-2-12-1-1-12-1-1-12-1-1001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000002222-12-1-1-2-2-12-1-1-12-1-1-12-1-1001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000002222-12-1-1-2-2-12-1-1-12-1-1-12-1-1001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000
χ182222-1-12-122-1-12-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-120000002222-1-12-122-1-12-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-120000002222-1-12-122-1-12-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12000000
χ192222-1-12-122-1-12-1-1-12-1-1-12-1-2-2-1-12-1-1-12-1111-2111-2111-2111-20000002222-1-12-122-1-12-1-1-12-1-1-12-1-2-2-1-12-1-1-12-1111-2111-2111-2111-20000002222-1-12-122-1-12-1-1-12-1-1-12-1-2-2-1-12-1-1-12-1111-2111-2111-2111-2000000
χ202222-1-12-1-2-2-1-12-1-1-12-1-1-12-10011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300000002222-1-12-1-2-2-1-12-1-1-12-1-1-12-10011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300000002222-1-12-1-2-2-1-12-1-1-12-1-1-12-10011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30000000
χ212222-1-12-1-2-2-1-12-1-1-12-1-1-12-10011-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300000002222-1-12-1-2-2-1-12-1-1-12-1-1-12-10011-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300000002222-1-12-1-2-2-1-12-1-1-12-1-1-12-10011-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30000000
χ222222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-12-12-1-1-1-1-12-12-10000002222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-12-12-1-1-1-1-12-12-10000002222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-12-12-1-1-1-1-12-12-1000000
χ232222-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-1-1-12-1-1-121111-21-211111-21-210000002222-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-1-1-12-1-1-121111-21-211111-21-210000002222-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-1-1-12-1-1-121111-21-211111-21-21000000
χ242222-1-1-12-2-2-1-1-12-1-1-12-1-1-1200111-2111-2−i3i3−i3i30i30−i3−i3i3−i3i30i30−i30000002222-1-1-12-2-2-1-1-12-1-1-12-1-1-1200111-2111-2−i3i3−i3i30i30−i3−i3i3−i3i30i30−i30000002222-1-1-12-2-2-1-1-12-1-1-12-1-1-1200111-2111-2−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3000000
χ252222-1-1-12-2-2-1-1-12-1-1-12-1-1-1200111-2111-2i3−i3i3−i30−i30i3i3−i3i3−i30−i30i30000002222-1-1-12-2-2-1-1-12-1-1-12-1-1-1200111-2111-2i3−i3i3−i30−i30i3i3−i3i3−i30−i30i30000002222-1-1-12-2-2-1-1-12-1-1-12-1-1-1200111-2111-2i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3000000
χ2622-2-222222-2-2-2-2-22222-2-2-2-200-2-2-2-22222000000000000000000000022-2-222222-2-2-2-2-22222-2-2-2-200-2-2-2-22222000000000000000000000022-2-222222-2-2-2-2-22222-2-2-2-200-2-2-2-222220000000000000000000000
χ2722-2-22-1-1-12-2-21112-1-1-1-211100-21112-1-1-100333−3−3−300−3−3−333300000022-2-22-1-1-12-2-21112-1-1-1-211100-21112-1-1-100333−3−3−300−3−3−333300000022-2-22-1-1-12-2-21112-1-1-1-211100-21112-1-1-100333−3−3−300−3−3−3333000000
χ2822-2-22-1-1-12-2-21112-1-1-1-211100-21112-1-1-100−3−3−333300333−3−3−300000022-2-22-1-1-12-2-21112-1-1-1-211100-21112-1-1-100−3−3−333300333−3−3−300000022-2-22-1-1-12-2-21112-1-1-1-211100-21112-1-1-100−3−3−333300333−3−3−3000000
χ2922-2-22-1-1-1-22-21112-1-1-1-21112i−2i2-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii00000022-2-22-1-1-1-22-21112-1-1-1-21112i−2i2-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii00000022-2-22-1-1-1-22-21112-1-1-1-21112i−2i2-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii000000
χ3022-2-22-1-1-1-22-21112-1-1-1-2111−2i2i2-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i00000022-2-22-1-1-1-22-21112-1-1-1-2111−2i2i2-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i00000022-2-22-1-1-1-22-21112-1-1-1-2111−2i2i2-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i000000
χ3122-2-2-12-1-12-21-211-12-1-11-211001-211-12-1-13−303−303−3−330−330−3300000022-2-2-12-1-12-21-211-12-1-11-211001-211-12-1-13−303−303−3−330−330−3300000022-2-2-12-1-12-21-211-12-1-11-211001-211-12-1-13−303−303−3−330−330−33000000
χ3222-2-2-12-1-12-21-211-12-1-11-211001-211-12-1-1−330−330−333−303−303−300000022-2-2-12-1-12-21-211-12-1-11-211001-211-12-1-1−330−330−333−303−303−300000022-2-2-12-1-12-21-211-12-1-11-211001-211-12-1-1−330−330−333−303−303−3000000
χ3322-2-2-12-1-1-221-211-12-1-11-2112i−2i-12-1-11-211−i−i2i−i−i2i−i−iii−2iii−2iii00000022-2-2-12-1-1-221-211-12-1-11-2112i−2i-12-1-11-211−i−i2i−i−i2i−i−iii−2iii−2iii00000022-2-2-12-1-1-221-211-12-1-11-2112i−2i-12-1-11-211−i−i2i−i−i2i−i−iii−2iii−2iii000000
χ3422-2-2-12-1-1-221-211-12-1-11-211−2i2i-12-1-11-211ii−2iii−2iii−i−i2i−i−i2i−i−i00000022-2-2-12-1-1-221-211-12-1-11-211−2i2i-12-1-11-211ii−2iii−2iii−i−i2i−i−i2i−i−i00000022-2-2-12-1-1-221-211-12-1-11-211−2i2i-12-1-11-211ii−2iii−2iii−i−i2i−i−i2i−i−i000000
χ3522-2-2-1-12-12-211-21-1-12-111-210011-21-1-12-13−3−3033−30−3330−3−33000000022-2-2-1-12-12-211-21-1-12-111-210011-21-1-12-13−3−3033−30−3330−3−33000000022-2-2-1-12-12-211-21-1-12-111-210011-21-1-12-13−3−3033−30−3330−3−330000000
χ3622-2-2-1-12-12-211-21-1-12-111-210011-21-1-12-1−3330−3−3303−3−3033−3000000022-2-2-1-12-12-211-21-1-12-111-210011-21-1-12-1−3330−3−3303−3−3033−3000000022-2-2-1-12-12-211-21-1-12-111-210011-21-1-12-1−3330−3−3303−3−3033−30000000
χ3722-2-2-1-12-1-2211-21-1-12-111-212i−2i-1-12-111-21−i−i−i2i−i−i−i2iiii−2iiii−2i00000022-2-2-1-12-1-2211-21-1-12-111-212i−2i-1-12-111-21−i−i−i2i−i−i−i2iiii−2iiii−2i00000022-2-2-1-12-1-2211-21-1-12-111-212i−2i-1-12-111-21−i−i−i2i−i−i−i2iiii−2iiii−2i000000
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χ4022-2-2-1-1-122-2111-2-1-1-12111-200111-2-1-1-12−33−33030−33−33−30−30300000022-2-2-1-1-122-2111-2-1-1-12111-200111-2-1-1-12−33−33030−33−33−30−30300000022-2-2-1-1-122-2111-2-1-1-12111-200111-2-1-1-12−33−33030−33−33−30−303000000
χ4122-2-2-1-1-12-22111-2-1-1-12111-22i−2i-1-1-12111-2−i−i−i−i2i−i2i−iiiii−2ii−2ii00000022-2-2-1-1-12-22111-2-1-1-12111-22i−2i-1-1-12111-2−i−i−i−i2i−i2i−iiiii−2ii−2ii00000022-2-2-1-1-12-22111-2-1-1-12111-22i−2i-1-1-12111-2−i−i−i−i2i−i2i−iiiii−2ii−2ii000000
χ4222-2-2-1-1-12-22111-2-1-1-12111-2−2i2i-1-1-12111-2iiii−2ii−2ii−i−i−i−i2i−i2i−i00000022-2-2-1-1-12-22111-2-1-1-12111-2−2i2i-1-1-12111-2iiii−2ii−2ii−i−i−i−i2i−i2i−i00000022-2-2-1-1-12-22111-2-1-1-12111-2−2i2i-1-1-12111-2iiii−2ii−2ii−i−i−i−i2i−i2i−i000000
χ432-22-2222200-2-2-2-2-2-2-2-2222200000000000000000000000000−i2i2−i2i2002-22-2222200-2-2-2-2-2-2-2-2222200000000000000000000000000−i2i2−i2i2002-22-2222200-2-2-2-2-2-2-2-2222200000000000000000000000000−i2i2−i2i200
χ442-22-2222200-2-2-2-2-2-2-2-2222200000000000000000000000000i2−i2i2−i2002-22-2222200-2-2-2-2-2-2-2-2222200000000000000000000000000i2−i2i2−i2002-22-2222200-2-2-2-2-2-2-2-2222200000000000000000000000000i2−i2i2−i200
χ452-2-222222002222-2-2-2-2-2-2-2-200000000000000000000000000−i2i2i2−i2002-2-222222002222-2-2-2-2-2-2-2-200000000000000000000000000−i2i2i2−i2002-2-222222002222-2-2-2-2-2-2-2-200000000000000000000000000−i2i2i2−i200
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χ1234444-24-2-244-24-2-2-24-2-2-24-2-2-4-4-24-2-2-24-2-222-422-42222-422-422000000-2-2-2-21-211-2-21-2111-2111-211221-2111-211-1-12-1-12-1-1-1-12-1-12-1-1000000000000000000000000000000000000000000000000000000000000
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χ1558-88-88-4-4-400-8444-84448-4-4-400000000000000000000000000000000-44-44-4222004-2-2-24-2-2-2-422200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1568-88-8-48-4-4004-8444-844-48-4-400000000000000000000000000000000-44-442-42200-24-2-2-24-2-22-42200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1578-88-8-4-48-40044-8444-84-4-48-400000000000000000000000000000000-44-4422-4200-2-24-2-2-24-222-4200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1628-8-88-4-4-4800-4-4-48444-8444-800000000000000000000000000000000-444-4222-400222-4-2-2-24-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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