Finite Group Databasebeta

← Group #11786835

Character table — Group #11786835

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order122222223344446666666666666636666666121212121212121244121212121212121212121212121212121212121222224444888888882424242424242424242424242424242444446666121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ911-1-11-1-11111-11-111-1-1-111-1-1-111-1-1111-1-1-11-1111-1-1-11-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−ii−i1-1
χ1011-1-11-1-11111-11-111-1-1-111-1-1-111-1-1111-1-1-11-1111-1-1-11-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i11-1-1−i−iiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii11-1-1−i−iii−ii-11
χ1111-1-11-1-11111-11-111-1-1-111-1-1-111-1-1111-1-1-11-1111-1-1-11-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i-1-111ii−i−i−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii-1-111ii−i−i−ii-11
χ1211-1-11-1-11111-11-111-1-1-111-1-1-111-1-1111-1-1-11-1111-1-1-11-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i-1-111−i−iii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i-1-111−i−iiii−i1-1
χ1311-1-11-1-11111-11-111-1-1-111-1-1-111-1-1111-1-1-11-1111-1-1-11-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii11-1-1ii−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-1ii−i−ii−i-11
χ1411-1-11-1-11111-11-111-1-1-111-1-1-111-1-1111-1-1-11-1111-1-1-11-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii−ii1-1
χ1511-1-11-1-11111-11-111-1-1-111-1-1-111-1-1111-1-1-11-1111-1-1-11-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii-1-111ii−i−i−ii1-1
χ1611-1-11-1-11111-11-111-1-1-111-1-1-111-1-1111-1-1-11-1111-1-1-11-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii-1-111−i−iiiii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i-1-111−i−iiii−i-11
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000222200000000-2-200
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000-2-2-2-2000000002200
χ19222222222-1222222222-1-1-1-1-12-1-12-1-1-1-1-1-1-1-12-1-122-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000022220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ20222222222-1222222222-1-1-1-1-12-1-12-1-1-1-1-1-1-1-12-1-122-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000011111111000000000000111100000000
χ21222222222-1222222222-1-1-1-1-12-1-12-1-1-1-1-1-1-1-12-1-122-12-1-2-21111-2-2-2-2-1-1-1-11111111122220000-2-2-2-2000011111111000000000000-1-1-1-100000000
χ22222222222-1222222222-1-1-1-1-12-1-12-1-1-1-1-1-1-1-12-1-122-12-1-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-2000022220000-1-1-1-1-1-1-1-1000000000000111100000000
χ2322222222-122222-1-1-1-1-122222-122-1-1-1-1-1-1-1-1-1-122-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ2422222222-122222-1-1-1-1-122222-122-1-1-1-1-1-1-1-1-1-122-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200000000111111110000000011110000
χ2522222222-122222-1-1-1-1-122222-122-1-1-1-1-1-1-1-1-1-122-1-12-12-2-2-2-2-2-21111-1-1-1-111111111000022220000-2-2-2-2000000001111111100000000-1-1-1-10000
χ2622222222-122222-1-1-1-1-122222-122-1-1-1-1-1-1-1-1-1-122-1-12-12-2-2-2-2-2-21111-1-1-1-1111111110000-2-2-2-20000222200000000-1-1-1-1-1-1-1-10000000011110000
χ2722-2-22-2-2222-22-2222-2-2-222-2-2-222-2-2222-2-2-22-2-2-2-2222-220000000000-2-22200000000000000000000000000000000000000002i2i−2i−2i00000000−2i2i00
χ2822-2-22-2-2222-22-2222-2-2-222-2-2-222-2-2222-2-2-22-2-2-2-2222-220000000000-2-2220000000000000000000000000000000000000000−2i−2i2i2i000000002i−2i00
χ2922-2-22-2-222-12-22-222-2-2-2-1-11112-11-2-1-1-1111-112-1-1-2-21212i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii22-2-200002i2i−2i−2i0000−i−i−i−iiiii000000000000-1-11100000000
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χ3222-2-22-2-222-12-22-222-2-2-2-1-11112-11-2-1-1-1111-112-1-1-2-2121−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i-2-22200002i2i−2i−2i0000−i−i−i−iiiii00000000000011-1-100000000
χ3322-2-22-2-22-122-22-2-1-111122-2-2-2-12-21-1-1-1111-11-12211-2-1-22i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii00002i2i−2i−2i000022-2-200000000-1-1-1-1111100000000−i−iii0000
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χ3522-2-22-2-22-122-22-2-1-111122-2-2-2-12-21-1-1-1111-11-12211-2-1-2−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i00002i2i−2i−2i0000-2-222000000001111-1-1-1-100000000−i−iii0000
χ3622-2-22-2-22-122-22-2-1-111122-2-2-2-12-21-1-1-1111-11-12211-2-1-2−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i0000−2i−2i2i2i000022-2-200000000-1-1-1-1111100000000ii−i−i0000
χ372-2222-2-2-22222-2-2-2-222-2-2-222-222-2-22-2-222-22-222-22-22-2-200000000002-22-2000000002-22-2000000000000000000000000000000002-22-200000000
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χ402-2222-2-2-222-2-222-2-222-2-2-222-222-2-22-2-222-22-2-2-22-22-2220000000000-22-22000000000000−2i2i−2i2i00000000000000000000000000000000−2i2i−2i2i0000
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χ8744-4-44-4-44-2-24-44-4-2-2222-2-2222-2-222111-1-1-11-1-2-2-2222-224i−4i−2i−2i2i2i−2i−2i2i2i11-1-1iiii−i−i−i−i000000000000000000000000000000000000000000000000
χ8844-4-44-4-44-2-24-44-4-2-2222-2-2222-2-222111-1-1-11-1-2-2-2222-22−4i4i2i2i−2i−2i2i2i−2i−2i11-1-1−i−i−i−iiiii000000000000000000000000000000000000000000000000
χ8944-4-44-4-44-2-2-44-44-2-2222-2-2222-2-222111-1-1-11-1222-2-2-22-20000000000-1-1113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000000000
χ9044-4-44-4-44-2-2-44-44-2-2222-2-2222-2-222111-1-1-11-1222-2-2-22-20000000000-1-111−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000000000
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χ924-4444-4-4-4-2444-4-422-2-22-4-444-4-24-42-222-2-22-22-24-4-2242-40000000000-22-2200000000000000000000000000000000000000000000000000000000
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χ944-4444-4-4-4-2-244-4-422-2-2222-2-22-2-2221-1-111-11-1-2-22-22-22200−2323−232300001-11-133−3−333−3−3000000000000000000000000000000000000000000000000
χ954-4444-4-4-4-2-2-4-44422-2-2222-2-22-2-2221-1-111-11-122-22-22-2-200000023−2323−23-11-11−33−33−33−33000000000000000000000000000000000000000000000000
χ964-4444-4-4-4-2-2-4-44422-2-2222-2-22-2-2221-1-111-11-122-22-22-2-2000000−2323−2323-11-113−33−33−33−3000000000000000000000000000000000000000000000000
χ974-44-4-44-444-200004-44-44-22-22-2-422-4-2-22-22-22200000000000000000000000000000000000000−2i22i2−2i22i20000i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ984-44-4-44-444-200004-44-44-22-22-2-422-4-2-22-22-222000000000000000000000000000000000000002i2−2i22i2−2i20000−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ994-44-4-44-44-240000-22-22-24-44-442-4-42-2-22-22-22200000000000000000000000000000000000000000022−2222−2200000000−22−22−22−220000000000000000
χ1004-44-4-44-44-240000-22-22-24-44-442-4-42-2-22-22-222000000000000000000000000000000000000000000−2222−2222000000002−22−22−22−20000000000000000
χ1014-4-44-4-4444-200004-4-44-4-222-22-42-24-2-222-222-20000000000000000000000000000000000000022−22−22220000−22−222−22−2000000000000000000000000
χ1024-4-44-4-4444-200004-4-44-4-222-22-42-24-2-222-222-200000000000000000000000000000000000000−222222−2200002−22−2−22−22000000000000000000000000
χ1034-4-44-4-444-240000-222-224-4-44-42-44-2-2-222-222-200000000000000000000000000000000000000000022−22−222200000000−22−222−22−20000000000000000
χ1044-4-44-4-444-240000-222-224-4-44-42-44-2-2-222-222-2000000000000000000000000000000000000000000−222222−22000000002−22−2−22−220000000000000000
χ1054-4-4-4444-44-2-444-4-4-4-4-442222-24-2-24-22222-2-2-2-42-24-4-24200000000002-2-2200000000000000000000000000000000000000000000000000000000
χ1064-4-4-4444-4-244-4-442222-2-4-4-4-44-244-2-22222-2-2-2-24-42-2-4240000000000-222-200000000000000000000000000000000000000000000000000000000
χ1074-4-4-4444-4-2-24-4-442222-22222-2-2-2-2-21-1-1-1-1111-2-222-222-200−2i32i32i3−2i300001-1-11i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ1084-4-4-4444-4-2-24-4-442222-22222-2-2-2-2-21-1-1-1-1111-2-222-222-2002i3−2i3−2i32i300001-1-11−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ1094-4-4-4444-4-2-2-444-42222-22222-2-2-2-2-21-1-1-1-111122-2-22-2-22000000−2i32i32i3−2i3-111-1i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ1104-4-4-4444-4-2-2-444-42222-22222-2-2-2-2-21-1-1-1-111122-2-22-2-220000002i3−2i3−2i32i3-111-1−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000000000
χ111888-8-8-88-8-4-400004-4-4444-4-44444-4-42-222-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-88-8-8-4-400004-44-4-44-44-4-444442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-88-88-4-40000-44-44-4-44-44-4444422-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-8-888-4-40000-444-44-444-4444-4-422-2-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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