Finite Group Databasebeta

← Group #13155470

Character table — Group #13155470

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order122233344666666666333666666666121212121212366612121212121212121212222244444412121212121212124466668888888812121212121212121212121212121212121212121212242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ91-11-1111-11-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-11-1111-1-11111-1-1-111-1-111-1-1i−ii−ii−iii−i−iii−i−i1-111-1-111-1-111-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i1-111-1-111-1-1i−i
χ101-11-1111-11-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-11-1111-1-11111-1-1-111-1-111-1-1i−ii−i−iiii−i−iii−i−i1-111-1-1-1-111-1-111i−ii−i−i−iiiii−i−iii−i−i−i−iii1-1-1-111-1-111−ii
χ111-11-1111-11-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-11-1111-1-11111-1-1-111-1-111-1-1−ii−iii−i−i−iii−i−iii1-111-1-1-1-111-1-111−ii−iiii−i−i−i−iii−i−iiiii−i−i1-1-1-111-1-111i−i
χ121-11-1111-11-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-11-1111-1-11111-1-1-111-1-111-1-1−ii−ii−ii−i−iii−i−iii1-111-1-111-1-111-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii1-111-1-111-1-1−ii
χ131-11-1111-11-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-11-1111-1-11111-1-1-111-1-1-1-111i−i−iii−iii−i−i−i−iii-11-1-11111-1-1-1-111i−i−iiii−i−iii−i−i−i−iiiii−i−i-1111-1-1-1-111−ii
χ141-11-1111-11-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-11-1111-1-11111-1-1-111-1-1-1-111i−i−ii−iiii−i−i−i−iii-11-1-111-1-11111-1-1i−i−ii−i−iiiii−i−i−i−iii−i−iii-11-1-11111-1-1i−i
χ151-11-1111-11-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-11-1111-1-11111-1-1-111-1-1-1-111−iii−ii−i−i−iiiii−i−i-11-1-111-1-11111-1-1−iii−iii−i−i−i−iiiii−i−iii−i−i-11-1-11111-1-1−ii
χ161-11-1111-11-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-11-1111-1-11111-1-1-111-1-1-1-111−iii−i−ii−i−iiiii−i−i-11-1-11111-1-1-1-111−iii−i−i−iii−i−iiiii−i−i−i−iii-1111-1-1-1-111i−i
χ172222222-2-2222222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222200000000000000-2-222220000000000000000000000000000-2-20000000000
χ182222222-2-2222222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000022-2-2-2-20000000000000000000000000000220000000000
χ19222222-12222-122-122-12-1-12-1-12-1-12-1-122-1-122-1-1-1-12-1-12-1-1-1-1-1-12222222200-1-1-1-1-1-1-1-122-1-1-1-10000000022220000-1-1-1-1-1-1-1-10000-1-10000000000
χ20222222-12222-122-122-12-1-12-1-12-1-12-1-122-1-122-1-1-1-12-1-12-1-1-1-1-1-12222-2-2-2-2001111111122-1-1-1-100000000-2-2-2-20000111111110000-1-10000000000
χ21222222-12222-122-122-12-1-12-1-12-1-12-1-122-1-122-1-1-1-12-1-12-1-1-1-1-1-1-2-2-2-222-2-200-1-1-1-11111-2-211110000000022-2-20000-1-1-1-111110000110000000000
χ22222222-12222-122-122-12-1-12-1-12-1-12-1-122-1-122-1-1-1-12-1-12-1-1-1-1-1-1-2-2-2-2-2-222001111-1-1-1-1-2-2111100000000-2-22200001111-1-1-1-10000110000000000
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χ25222222-1-2-222-122-122-12-1-12-1-12-1-12-1-1-2-211-2-2-1-1-1-1-211-2111111-2-2-2-2000000−i3i3−i3i3i3−i3i3−i32211110000000000000000−i3i3−i3i3i3−i3i3−i30000-1-10000000000
χ26222222-1-2-222-122-122-12-1-12-1-12-1-12-1-1-2-211-2-2-1-1-1-1-211-2111111-2-2-2-2000000i3−i3i3−i3−i3i3−i3i32211110000000000000000i3−i3i3−i3−i3i3−i3i30000-1-10000000000
χ2722222-12222-122-122-12-12-1-12-1-12-1-12-12-1222-1-1-1-1-1-12-1-12-1-1-1-1-10000002222000022220000000000222200-1-12-12-10000-1-1-1-1-1-1-1-1000000-1-1-1-100
χ2822222-12222-122-122-12-12-1-12-1-12-1-12-12-1222-1-1-1-1-1-12-1-12-1-1-1-1-100000022-2-2000022220000000000-2-2-2-200-1-1-21-210000-1-1-1-11111000000111100
χ2922222-12222-122-122-12-12-1-12-1-12-1-12-12-1222-1-1-1-1-1-12-1-12-1-1-1-1-1000000-2-2220000-2-2-2-20000000000-2-2-2-200112-12-100001111-1-1-1-1000000111100
χ3022222-12222-122-122-12-12-1-12-1-12-1-12-12-1222-1-1-1-1-1-12-1-12-1-1-1-1-1000000-2-2-2-20000-2-2-2-2000000000022220011-21-21000011111111000000-1-1-1-100
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χ322222-12222-122-122-122-1-12-1-12-1-12-1-12-1222-12-1-1-1-1-1-12-1-12-1-1-1-100002200-2-222220000000000-2-2-2-20000-1-1001-21-2-1-1-1-100001111001111000000
χ332222-12222-122-122-122-1-12-1-12-1-12-1-12-1222-12-1-1-1-1-1-12-1-12-1-1-1-10000-2-20022-2-2-2-20000000000-2-2-2-200001100-12-1211110000-1-1-1-1001111000000
χ342222-12222-122-122-122-1-12-1-12-1-12-1-12-1222-12-1-1-1-1-1-12-1-12-1-1-1-10000-2-200-2-2-2-2-2-200000000002222000011001-21-211110000111100-1-1-1-1000000
χ3522-2-222200222-2-2-2-2-2-2222222-2-2-2-2-2-200000022-2-200000000002-22-200000000000000002-22-22−22−22−22−200000000000000000000002−22−22−22−200
χ3622-2-222200222-2-2-2-2-2-2222222-2-2-2-2-2-200000022-2-200000000002-22-200000000000000002-22-2−22−22−22−220000000000000000000000−22−22−22−2200
χ3722-2-222200222-2-2-2-2-2-2222222-2-2-2-2-2-200000022-2-20000000000-22-220000000000000000-22-222−22−2−22−2200000000000000000000002−22−2−22−2200
χ3822-2-222200222-2-2-2-2-2-2222222-2-2-2-2-2-200000022-2-20000000000-22-220000000000000000-22-22−22−222−22−20000000000000000000000−22−222−22−200
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χ402-22-22222-2-2-2-2222-2-2-2222-2-2-2222-2-2-222-22-2-22-2-22-2-2-2222-2-222-2-222000000000000002-2-2-22200000000000000000000000000002-20000000000
χ412-22-222-12-2-2-2122-1-2-212-1-1-2112-1-1-211221-1-2-2-111-1-2112-1-111-1-122-2-20000003−3−333−3−33-22-1-11100000000000000003−3−333−3−3300001-10000000000
χ422-22-222-12-2-2-2122-1-2-212-1-1-2112-1-1-211221-1-2-2-111-1-2112-1-111-1-122-2-2000000−333−3−333−3-22-1-1110000000000000000−333−3−333−300001-10000000000
χ432-22-222-12-2-2-2122-1-2-212-1-1-2112-1-1-211221-1-2-2-111-1-2112-1-111-1-1-2-2220000003−3−33−333−32-211-1-100000000000000003−3−33−333−30000-110000000000
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χ452-22-222-1-22-2-2122-1-2-212-1-1-2112-1-1-211-2-2-1122-111-12-1-1-211-1-11122-2-22i−2i2i−2i00−i−iii−i−iii2-2-1-111000000002i−2i2i−2i0000−i−iii−i−iii0000-110000000000
χ462-22-222-1-22-2-2122-1-2-212-1-1-2112-1-1-211-2-2-1122-111-12-1-1-211-1-11122-2-2−2i2i−2i2i00ii−i−iii−i−i2-2-1-11100000000−2i2i−2i2i0000ii−i−iii−i−i0000-110000000000
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χ492-22-22-12-22-21-22-12-21-2-12-11-21-12-11-21-212-22-1-111-1-12-11-21-1-1110000002i−2i2i−2i00002i2i−2i−2i000000000022-2-200−ii2i−i−2ii0000−i−iii−i−iii000000-1-11100
χ502-22-22-12-22-21-22-12-21-2-12-11-21-12-11-21-212-22-1-111-1-12-11-21-1-1110000002i−2i−2i2i00002i2i−2i−2i0000000000-2-22200−ii−2ii2i−i0000−i−iiiii−i−i00000011-1-100
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χ864-44-4-2444-42-4-4-2442-4-4-2-2422-4-2-2422-4-24-442-4-222-222-4-2-2422-2-20000000000000000000000000000000000000000000000000000000000000000
χ874-44-4-24-24-42-42-24-22-42-21-22-12-21-22-12-242-22-41-1-112-12-21-2-1-111000000000023−23−232300000000000000000000000000−333−300000000000000000000
χ884-44-4-24-24-42-42-24-22-42-21-22-12-21-22-12-242-22-41-1-112-12-21-2-1-1110000000000−232323−23000000000000000000000000003−3−3300000000000000000000
χ894-44-4-24-2-442-42-24-22-42-21-22-12-21-22-122-4-22-241-1-11-21-22-1211-1-100004i−4i0000−2i−2i2i2i000000000000000000−2i2i000000ii−i−i00000000000000000000
χ904-44-4-24-2-442-42-24-22-42-21-22-12-21-22-122-4-22-241-1-11-21-22-1211-1-10000−4i4i00002i2i−2i−2i0000000000000000002i−2i000000−i−iii00000000000000000000
χ914-44-4-2-244-422-4-2-2422-41-2-2-1221-2-2-122-2-2-44221-1-11-1221-2-2-1-1110000000000000000000000000000000000000000000000003i−3i−3i3i000000000000
χ924-44-4-2-244-422-4-2-2422-41-2-2-1221-2-2-122-2-2-44221-1-11-1221-2-2-1-111000000000000000000000000000000000000000000000000−3i3i3i−3i000000000000
χ934-44-4-2-24-4422-4-2-2422-41-2-2-1221-2-2-122224-4-2-21-1-111-2-2-12211-1-1000000004i−4i00000000000000000000000000−2i−2i2i2i00000000ii−i−i000000000000
χ944-44-4-2-24-4422-4-2-2422-41-2-2-1221-2-2-122224-4-2-21-1-111-2-2-12211-1-100000000−4i4i000000000000000000000000002i2i−2i−2i00000000−i−iii000000000000
χ954-4-4444-200-4-42-4-4244-24-2-2-422-4224-2-2000000-22-2200000000004-4-440000000000000000-222-20000000000000000000000000000000000000000
χ964-4-4444-200-4-42-4-4244-24-2-2-422-4224-2-2000000-22-220000000000-444-400000000000000002-2-220000000000000000000000000000000000000000
χ974-4-444-2400-42-4-42-44-24-24-22-422-42-24-2000000-22-220000000000000000000000000000000000000022−22−222200000000000000000000000000−222−200
χ984-4-444-2400-42-4-42-44-24-24-22-422-42-24-2000000-22-2200000000000000000000000000000000000000−222222−22000000000000000000000000002−2−2200
χ994-4-44-244002-4-42-4-4-244-2-2422-422-4-2-24000000-22-22000000000000000000000000000000000022−22−222200000000000000000000000000−222−2000000
χ1004-4-44-244002-4-42-4-4-244-2-2422-422-4-2-24000000-22-220000000000000000000000000000000000−222222−22000000000000000000000000002−2−22000000
χ1018888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-4-1-1-1-1222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-1-1-1-1-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-4008-4-4-844-844-4-42-4-4244-244-200000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-400-48-44-844-84-42-4-42-44-244-2400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4800-4-4844-844-82-4-42-4-4-244-24400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-400-4-4-4444444222222-2-2-2-2-2-2000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-400-4-4-4444444222222-2-2-2-2-2-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-48-8444-4-4-4444222-2-2-2222-2-2-2-4-44-444-111-1-2-2-222211-1-10000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4-88444-4-4-4444222-2-2-2222-2-2-244-44-4-4-111-1222-2-2-2-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-400-844-8448-4-4-4-4244-244-2-4-420000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-4004-844-84-48-4-42-44-244-24-42-40000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-480044-844-8-4-482-4-4-244-2442-4-40000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-400444444-4-4-4222-2-2-2-2-2-2222000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-400444444-4-4-4222-2-2-2-2-2-2222000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000000000000

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