Finite Group Databasebeta

← Group #11785764

Character table — Group #11785764

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order122222223344446666666666666636666666121212121212121222224412121212121212121212121212121212121212124444446666888812121212242424242424242444121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ911-1-1-11-111111-1-11-1-1-111-1-11-1-111-1111-1-1-11-111-111-1-1-111-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1-111-1-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−iii−i−i11-1-111-1-1ii−i−i
χ1011-1-1-11-111111-1-11-1-1-111-1-11-1-111-1111-1-1-11-111-111-1-1-111-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1-1-1-11111-1-1−i−iii11-1-1−i−i−i−iiiiii−iii−i−i-1-111-1-111−i−iii
χ1111-1-1-11-111111-1-11-1-1-111-1-11-1-111-1111-1-1-11-111-111-1-1-111-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1-111-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii−i−iii11-1-111-1-1−i−iii
χ1211-1-1-11-111111-1-11-1-1-111-1-11-1-111-1111-1-1-11-111-111-1-1-111-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1-1-1-11111-1-1ii−i−i11-1-1iiii−i−i−i−i−ii−i−iii-1-111-1-111ii−i−i
χ1311-1-1-11-111111-1-11-1-1-111-1-11-1-111-1111-1-1-11-111-111-1-1-1-1-111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1111-1-1-1-111ii−i−i-1-111iiii−i−i−i−i−ii−i−iii11-1-1-1-111−i−iii
χ1411-1-1-11-111111-1-11-1-1-111-1-11-1-111-1111-1-1-11-111-111-1-1-1-1-111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-11-1-111-1-111−i−iii-1-111−i−i−i−iiiii−ii−i−iii-1-11111-1-1ii−i−i
χ1511-1-1-11-111111-1-11-1-1-111-1-11-1-111-1111-1-1-11-111-111-1-1-1-1-111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1111-1-1-1-111−i−iii-1-111−i−i−i−iiiiii−iii−i−i11-1-1-1-111ii−i−i
χ1611-1-1-11-111111-1-11-1-1-111-1-11-1-111-1111-1-1-11-111-111-1-1-1-1-111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-11-1-111-1-111ii−i−i-1-111iiii−i−i−i−ii−iii−i−i-1-11111-1-1−i−iii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-222220000000000-2-2-2-200000000-2-2000022220000-2-2-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000-2-2-2-200000000220000-2-2-2-20000222200000000000000000000000000
χ19222222222-122222222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-10000-1-1-1-10000000022-1-1-1-1000000000000
χ20222222222-122222222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-122222-2-2-2-211-2-211-1-1-1-111111111220000-1-1-1-10000-1-1-1-100000000-2-21111000000000000
χ21222222222-122222222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-22222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000011110000111100000000-2-21111000000000000
χ22222222222-122222222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-2-2-211-2-211-1-1-1-111111111-2-200001111000011110000000022-1-1-1-1000000000000
χ23222222222-1-2-2-2-22222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-222220000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-2-20000-1-1-1-1000011110000000000−i3i3−i3i3000000000000
χ24222222222-1-2-2-2-22222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-222220000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-2-20000-1-1-1-1000011110000000000i3−i3i3−i3000000000000
χ25222222222-1-2-2-2-22222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-2-2-2-2-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i322000011110000-1-1-1-10000000000i3−i3i3−i3000000000000
χ26222222222-1-2-2-2-22222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-2-2-2-2-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i322000011110000-1-1-1-10000000000−i3i3−i3i3000000000000
χ2722222222-122222-1-1-1-12222-1-122-12-1-1-1-1-1-1-1-1-1-1-12222-1000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1002222000022220000-1-1-1-1-1-1-1-1000000-1-1-1-100000000
χ2822222222-122222-1-1-1-12222-1-122-12-1-1-1-1-1-1-1-1-1-1-12222-1000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000-2-2-2-2000011111111000000111100000000
χ2922222222-122222-1-1-1-12222-1-122-12-1-1-1-1-1-1-1-1-1-1-12222-10000-2-211-2-211-2-2-1-1-1-1111111110022220000-2-2-2-2000011111111000000-1-1-1-100000000
χ3022222222-122222-1-1-1-12222-1-122-12-1-1-1-1-1-1-1-1-1-1-12222-10000-2-211-2-211-2-2-1-1-1-11111111100-2-2-2-2000022220000-1-1-1-1-1-1-1-1000000111100000000
χ3122-2-2-22-2222-2-2222-2-2-222-2-22-2-222-2222-2-2-22-2-2-22-2-222222-2-20000000000-2-22200000000-22000022-2-20000-2-22200000000000000000000000000
χ3222-2-2-22-2222-2-2222-2-2-222-2-22-2-222-2222-2-2-22-2-2-22-2-2222-2-2220000000000-2-222000000002-20000-2-222000022-2-200000000000000000000000000
χ3322-2-2-22-222-122-2-22-2-2-2-1-1112-21-121-1-1-1111-1122-2-1-111-222-2-22i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii2-20000-1-1110000-1-111000000002i−2i−i−iii000000000000
χ3422-2-2-22-222-122-2-22-2-2-2-1-1112-21-121-1-1-1111-1122-2-1-111-222-2-2−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i2-20000-1-1110000-1-11100000000−2i2iii−i−i000000000000
χ3522-2-2-22-222-122-2-22-2-2-2-1-1112-21-121-1-1-1111-1122-2-1-111-2-2-2222i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii-22000011-1-1000011-1-100000000−2i2iii−i−i000000000000
χ3622-2-2-22-222-122-2-22-2-2-2-1-1112-21-121-1-1-1111-1122-2-1-111-2-2-222−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i-22000011-1-1000011-1-1000000002i−2i−i−iii000000000000
χ3722-2-2-22-222-1-2-2222-2-2-2-1-1112-21-121-1-1-1111-11-2-2211-1-1222-2-200003−300−3311-1-133−3−3−3−333-220000-1-111000011-1-100000000003−3−33000000000000
χ3822-2-2-22-222-1-2-2222-2-2-2-1-1112-21-121-1-1-1111-11-2-2211-1-1222-2-20000−33003−311-1-1−3−33333−3−3-220000-1-111000011-1-10000000000−333−3000000000000
χ3922-2-2-22-222-1-2-2222-2-2-2-1-1112-21-121-1-1-1111-11-2-2211-1-12-2-22200003−300−3311-1-133−3−3−3−3332-2000011-1-10000-1-1110000000000−333−3000000000000
χ4022-2-2-22-222-1-2-2222-2-2-2-1-1112-21-121-1-1-1111-11-2-2211-1-12-2-2220000−33003−311-1-1−3−33333−3−32-2000011-1-10000-1-11100000000003−3−33000000000000
χ4122-2-2-22-22-1222-2-2-111122-2-2-11-22-1-2-1-1-1111-11-1-1122-2-2100002i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii0022-2-200002i2i−2i−2i0000−i−i−i−iiiii000000-1-11100000000
χ4222-2-2-22-22-1222-2-2-111122-2-2-11-22-1-2-1-1-1111-11-1-1122-2-2100002i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii00-2-2220000−2i−2i2i2i0000iiii−i−i−i−i00000011-1-100000000
χ4322-2-2-22-22-1222-2-2-111122-2-2-11-22-1-2-1-1-1111-11-1-1122-2-210000−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i0022-2-20000−2i−2i2i2i0000iiii−i−i−i−i000000-1-11100000000
χ4422-2-2-22-22-1222-2-2-111122-2-2-11-22-1-2-1-1-1111-11-1-1122-2-210000−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i00-2-22200002i2i−2i−2i0000−i−i−i−iiiii00000011-1-100000000
χ452-222-2-2-22220000-222-22-222-2-2-2-22-222-222-2-2-2000000002-22-200000000000000000000000000002-22-2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200000000000000−i2i2−i2i2
χ462-222-2-2-22220000-222-22-222-2-2-2-22-222-222-2-2-2000000002-22-200000000000000000000000000002-22-2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i200000000000000i2−i2i2−i2
χ472-222-2-2-22220000-222-22-222-2-2-2-22-222-222-2-2-200000000-22-220000000000000000000000000000-22-22−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200000000000000i2−i2i2−i2
χ482-222-2-2-22220000-222-22-222-2-2-2-22-222-222-2-2-200000000-22-220000000000000000000000000000-22-22i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i200000000000000−i2i2−i2i2
χ492-22-222-2-2222-22-2-22-2-2-2-22-22222-2-22-2-22-2-2222-2-22-22-22000000000000002-22-2000000000000000000000000000000000000000000002i−2i2i−2i0000
χ502-22-222-2-2222-22-2-22-2-2-2-22-22222-2-22-2-22-2-2222-2-22-22-22000000000000002-22-200000000000000000000000000000000000000000000−2i2i−2i2i0000
χ512-22-222-2-222-22-22-22-2-2-2-22-22222-2-22-2-22-2-222-222-22-22-200000000000000-22-2200000000002i−2i2i−2i000000000000000000000000002i−2i2i−2i00000000
χ522-22-222-2-222-22-22-22-2-2-2-22-22222-2-22-2-22-2-222-222-22-22-200000000000000-22-220000000000−2i2i−2i2i00000000000000000000000000−2i2i−2i2i00000000
χ532-22-222-2-2-12-22-221-111-2-22-2-1-1221-2-111-111-1-11-1-1-22-221000000−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i3002i−2i2i−2i0000000000003−33−33−33−3000000−ii−ii00000000
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χ552-22-222-2-2-12-22-221-111-2-22-2-1-1221-2-111-111-1-11-1-1-22-221000000i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i3002i−2i2i−2i000000000000−33−33−33−33000000−ii−ii00000000
χ562-22-222-2-2-12-22-221-111-2-22-2-1-1221-2-111-111-1-11-1-1-22-221000000i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i300−2i2i−2i2i0000000000003−33−33−33−3000000i−ii−i00000000
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χ592-2-22-222-222-222-2-2-222-2-2-222-2-22-222-2-2-2222-2-22-2-222-2200000000000000-222-200000000002i−2i−2i2i000000000000000000000000002i−2i−2i2i00000000
χ602-2-22-222-222-222-2-2-222-2-2-222-2-22-222-2-2-2222-2-22-2-222-2200000000000000-222-20000000000−2i2i2i−2i00000000000000000000000000−2i2i2i−2i00000000
χ612-2-22-222-2-12-222-211-1-1-2-2-22-11-2212-1111-1-1-111-11-222-2-10000003−300−33001-1-113−33−3−33−33002i−2i−2i2i000000000000i3−i3i3−i3−i3i3−i3i3000000−iii−i00000000
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χ662-2-2-22-222220000-2-2-222-2-2-2-222-22222-2-2-22-22000000002-2-2200000000000000000000000000002-2-22−222−20000−2−22222−2−200000000000000−222−2
χ672-2-2-22-222220000-2-2-222-2-2-2-222-22222-2-2-22-2200000000-222-20000000000000000000000000000-222-22−2−22000022−2−2−2−22200000000000000−222−2
χ682-2-2-22-222220000-2-2-222-2-2-2-222-22222-2-2-22-2200000000-222-20000000000000000000000000000-222-2−222−20000−2−22222−2−2000000000000002−2−22
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χ7044444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000000000
χ7144444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-20000-4-4222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
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χ7344444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111122222222000000002i3−2i3002i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000000000
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χ8444-4-4-44-44-24-4-444-222244-4-4-22-44-2-4-2-2-2222-2222-2-4-444-20000000000000022-2-20000000000000000000000000000000000000000000000000000
χ8544-4-4-44-44-2-244-4-4-2222-2-222-222-2-22111-1-1-11-1-2-22-2-222200004i−4i−2i−2i−2i−2i2i2i2i2i11-1-1iiii−i−i−i−i00000000000000000000000000000000000000000000
χ8644-4-4-44-44-2-244-4-4-2222-2-222-222-2-22111-1-1-11-1-2-22-2-22220000−4i4i2i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii00000000000000000000000000000000000000000000
χ8744-4-4-44-44-2-2-4-444-2222-2-222-222-2-22111-1-1-11-122-222-2-2-20000000023−2300−2323-1-111−3−33333−3−300000000000000000000000000000000000000000000
χ8844-4-4-44-44-2-2-4-444-2222-2-222-222-2-22111-1-1-11-122-222-2-2-200000000−23230023−23-1-11133−3−3−3−33300000000000000000000000000000000000000000000
χ894-444-4-4-444-20000-444-4-22-2-2-4-42242-2-22-2-2222000000004-44-40000000000000000000000000000-22-220000000000000000000000000000000000
χ904-444-4-4-444-20000-444-4-22-2-2-4-42242-2-22-2-222200000000-44-4400000000000000000000000000002-22-20000000000000000000000000000000000
χ914-444-4-4-44-2400002-2-224-44422-4-4-2-4-2-22-2-222200000000000000000000000000000000000000000000−2i22i2−2i22i20000i2i2−i2−i2i2i2−i2−i2000000000000000000
χ924-444-4-4-44-2400002-2-224-44422-4-4-2-4-2-22-2-2222000000000000000000000000000000000000000000002i2−2i22i2−2i20000−i2−i2i2i2−i2−i2i2i2000000000000000000
χ934-44-444-4-44-24-44-4-44-4-422-2244-2-2-42-222-222-2-24-4-4-22-22400000000000000-22-220000000000000000000000000000000000000000000000000000
χ944-44-444-4-44-2-44-44-44-4-422-2244-2-2-42-222-222-2-2-4442-22-2-4000000000000002-22-20000000000000000000000000000000000000000000000000000
χ954-44-444-4-4-244-44-42-222-4-44-4-2-2442-4-222-222-2-2-2224-44-4-200000000000000-22-220000000000000000000000000000000000000000000000000000
χ964-44-444-4-4-2-24-44-42-22222-22-2-2-2-2221-1-11-1-111-222-22-22-2000000000000001-11-13-3-333-3-3300000000000000000000000000000000000000000000
χ974-44-444-4-4-2-24-44-42-22222-22-2-2-2-2221-1-11-1-111-222-22-22-2000000000000001-11-1-333-3-333-300000000000000000000000000000000000000000000
χ984-44-444-4-4-2-2-44-442-22222-22-2-2-2-2221-1-11-1-1112-2-22-22-22000000−2i32i300−2i32i300-11-11i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000000000000000
χ994-44-444-4-4-2-2-44-442-22222-22-2-2-2-2221-1-11-1-1112-2-22-22-220000002i3−2i3002i3−2i300-11-11−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000000000000000
χ1004-4-44-444-44-24-4-44-4-444222-24-42-2-4-2-2222-2-2-224-44-222-2-400000000000000-222-20000000000000000000000000000000000000000000000000000
χ1014-4-44-444-44-2-444-4-4-444222-24-42-2-4-2-2222-2-2-22-44-42-2-224000000000000002-2-220000000000000000000000000000000000000000000000000000
χ1024-4-44-444-4-244-4-4422-2-2-4-4-44-22-4424-2222-2-2-22-22-24-4-44200000000000000-222-20000000000000000000000000000000000000000000000000000
χ1034-4-44-444-4-2-24-4-4422-2-2222-2-222-22-21-1-1-1111-1-22-2-222-22000000000000001-1-113i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1044-4-44-444-4-2-24-4-4422-2-2222-2-222-22-21-1-1-1111-1-22-2-222-22000000000000001-1-11−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ1054-4-44-444-4-2-2-444-422-2-2222-2-222-22-21-1-1-1111-12-222-2-22-200000023−2300−232300-111-1−33−333−33−300000000000000000000000000000000000000000000
χ1064-4-44-444-4-2-2-444-422-2-2222-2-222-22-21-1-1-1111-12-222-2-22-2000000−23230023−2300-111-13−33−3−33−3300000000000000000000000000000000000000000000
χ1074-4-4-44-4444-20000-4-4-44-2222-44-224-2-2-2222-22-2000000004-4-440000000000000000000000000000-222-20000000000000000000000000000000000
χ1084-4-4-44-4444-20000-4-4-44-2222-44-224-2-2-2222-22-200000000-444-400000000000000000000000000002-2-220000000000000000000000000000000000
χ1094-4-4-44-444-240000222-24-4-4-42-24-4-24-2-2222-22-20000000000000000000000000000000000000000000022−22−22220000−2−22222−2−2000000000000000000
χ1104-4-4-44-444-240000222-24-4-4-42-24-4-24-2-2222-22-200000000000000000000000000000000000000000000−222222−22000022−2−2−2−222000000000000000000
χ111888-8-8-88-8-4-40000-4-44-44-4-4444444-42-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-888-8-8-8-4-40000-44-444-44-44-4-44442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-8-88-4-400004-4-44-44-4-44444-4422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-88-888-4-40000444-4-44444-4-44-4-422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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