Finite Group Databasebeta

← Group #11859942

Character table — Group #11859942

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222333344444444444444666666666688888888121212121212121212121212121218181818242436361111222222222233334444444444444466666666668888888812121212121212121212121212121818181824243636
order1222334466666644443446661212121212121212448888121212121212121212121212444412121212121224242424888812124422226644666666444464466612121212121212124488881212121212121212121212124444121212121212242424248888121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-11111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111111111111111111-1-11111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ41111111111111111111-1-11111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-11111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111111111-1-1-1-111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-11-1-11111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111111111111111-1-1-1-11-1-11111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
χ811111111111111-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-111111111111111-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-1
χ91-1-11111-1-11-1-11-1ii−i−i1i−i-11-1-1ii−i−i1-11i−i11-1-1ii−i−ii−i1-1ii−i−ii−i1-1i−i11-1-111-1-1ii−i−ii−i1-11-1-11111-1-11-1-11-1ii−i−i1i−i-11-1-1ii−i−i1-11i−i11-1-1ii−i−ii−i1-1ii−i−ii−i1-1i−i11-1-111-1-1ii−i−ii−i1-1
χ101-1-11111-1-11-1-11-1ii−i−i1i−i-11-1-1ii−i−i1-11i−i-1-111ii−i−ii−i1-1ii−i−i−ii1-1i−i11-1-1-1-111−i−iii−ii-111-1-11111-1-11-1-11-1ii−i−i1i−i-11-1-1ii−i−i1-11i−i-1-111ii−i−ii−i1-1ii−i−i−ii1-1i−i11-1-1-1-111−i−iii−ii-11
χ111-1-11111-1-11-1-11-1ii−i−i1−ii-11-1-1−i−iii1-11i−i11-1-1ii−i−i−ii1-1−i−iii−ii-11i−i-1-11111-1-1ii−i−i−ii-111-1-11111-1-11-1-11-1ii−i−i1−ii-11-1-1−i−iii1-11i−i11-1-1ii−i−i−ii1-1−i−iii−ii-11i−i-1-11111-1-1ii−i−i−ii-11
χ121-1-11111-1-11-1-11-1ii−i−i1−ii-11-1-1−i−iii1-11i−i-1-111ii−i−i−ii1-1−i−iiii−i-11i−i-1-111-1-111−i−iiii−i1-11-1-11111-1-11-1-11-1ii−i−i1−ii-11-1-1−i−iii1-11i−i-1-111ii−i−i−ii1-1−i−iiii−i-11i−i-1-111-1-111−i−iiii−i1-1
χ131-1-11111-1-11-1-11-1−i−iii1i−i-11-1-1ii−i−i1-11−ii11-1-1−i−iiii−i1-1ii−i−ii−i-11−ii-1-11111-1-1−i−iiii−i-111-1-11111-1-11-1-11-1−i−iii1i−i-11-1-1ii−i−i1-11−ii11-1-1−i−iiii−i1-1ii−i−ii−i-11−ii-1-11111-1-1−i−iiii−i-11
χ141-1-11111-1-11-1-11-1−i−iii1i−i-11-1-1ii−i−i1-11−ii-1-111−i−iiii−i1-1ii−i−i−ii-11−ii-1-111-1-111ii−i−i−ii1-11-1-11111-1-11-1-11-1−i−iii1i−i-11-1-1ii−i−i1-11−ii-1-111−i−iiii−i1-1ii−i−i−ii-11−ii-1-111-1-111ii−i−i−ii1-1
χ151-1-11111-1-11-1-11-1−i−iii1−ii-11-1-1−i−iii1-11−ii11-1-1−i−iii−ii1-1−i−iii−ii1-1−ii11-1-111-1-1−i−iii−ii1-11-1-11111-1-11-1-11-1−i−iii1−ii-11-1-1−i−iii1-11−ii11-1-1−i−iii−ii1-1−i−iii−ii1-1−ii11-1-111-1-1−i−iii−ii1-1
χ161-1-11111-1-11-1-11-1−i−iii1−ii-11-1-1−i−iii1-11−ii-1-111−i−iii−ii1-1−i−iiii−i1-1−ii11-1-1-1-111ii−i−ii−i-111-1-11111-1-11-1-11-1−i−iii1−ii-11-1-1−i−iii1-11−ii-1-111−i−iii−ii1-1−i−iiii−i1-1−ii11-1-1-1-111ii−i−ii−i-11
χ17222222-2-22222222222200222-20000-2-2-2-2-20000222200-2-200000000-2-20000000000000000222222-2-22222222222200222-20000-2-2-2-2-20000222200-2-200000000-2-20000000000000000
χ18222222-2-2222222-2-2-2-2200222-20000-2-2-2220000-2-2-2-200-2-200000000220000000000000000222222-2-2222222-2-2-2-2200222-20000-2-2-2220000-2-2-2-200-2-200000000220000000000000000
χ1922222-12222-1-1-122222-122-1-1-12-1-1-1-1-1-12220000-1-1-1-122-1-1-1-1-1-10022-1-1-1-1-1-100000000000022222-12222-1-1-122222-122-1-1-12-1-1-1-1-1-12220000-1-1-1-122-1-1-1-1-1-10022-1-1-1-1-1-1000000000000
χ2022222-12222-1-1-122222-1-2-2-1-1-121111-1-12220000-1-1-1-1-2-2-1-1111100-2-2-1-1111100000000000022222-12222-1-1-122222-1-2-2-1-1-121111-1-12220000-1-1-1-1-2-2-1-1111100-2-2-1-11111000000000000
χ2122222-12222-1-1-12-2-2-2-2-122-1-1-12-1-1-1-1-1-12-2-20000111122-1-1-1-1-1-100-2-211111100000000000022222-12222-1-1-12-2-2-2-2-122-1-1-12-1-1-1-1-1-12-2-20000111122-1-1-1-1-1-100-2-2111111000000000000
χ2222222-12222-1-1-12-2-2-2-2-1-2-2-1-1-121111-1-12-2-200001111-2-2-1-11111002211-1-1-1-100000000000022222-12222-1-1-12-2-2-2-2-1-2-2-1-1-121111-1-12-2-200001111-2-2-1-11111002211-1-1-1-1000000000000
χ2322222-1-2-222-1-1-122222-100-1-1-1-2−i3i3−i3i311-2-2-20000-1-1-1-10011−i3i3−i3i3000011−i3i3−i3i300000000000022222-1-2-222-1-1-122222-100-1-1-1-2−i3i3−i3i311-2-2-20000-1-1-1-10011−i3i3−i3i3000011−i3i3−i3i3000000000000
χ2422222-1-2-222-1-1-122222-100-1-1-1-2i3−i3i3−i311-2-2-20000-1-1-1-10011i3−i3i3−i3000011i3−i3i3−i300000000000022222-1-2-222-1-1-122222-100-1-1-1-2i3−i3i3−i311-2-2-20000-1-1-1-10011i3−i3i3−i3000011i3−i3i3−i3000000000000
χ2522222-1-2-222-1-1-12-2-2-2-2-100-1-1-1-2−i3i3−i3i311-222000011110011−i3i3−i3i30000-1-1i3−i3i3−i300000000000022222-1-2-222-1-1-12-2-2-2-2-100-1-1-1-2−i3i3−i3i311-222000011110011−i3i3−i3i30000-1-1i3−i3i3−i3000000000000
χ2622222-1-2-222-1-1-12-2-2-2-2-100-1-1-1-2i3−i3i3−i311-222000011110011i3−i3i3−i30000-1-1−i3i3−i3i300000000000022222-1-2-222-1-1-12-2-2-2-2-100-1-1-1-2i3−i3i3−i311-222000011110011i3−i3i3−i30000-1-1−i3i3−i3i3000000000000
χ272222-1222-1-1222-10000-122-1-1-1-1222222-10022220000-1-1-1-1-1-1-1-12200000000-1-1-1-10000-1-1002222-1222-1-1222-10000-122-1-1-1-1222222-10022220000-1-1-1-1-1-1-1-12200000000-1-1-1-10000-1-100
χ282222-1222-1-1222-10000-122-1-1-1-1222222-100-2-2-2-20000-1-1-1-1-1-1-1-1-2-2000000001111000011002222-1222-1-1222-10000-122-1-1-1-1222222-100-2-2-2-20000-1-1-1-1-1-1-1-1-2-200000000111100001100
χ292222-1222-1-1222-10000-1-2-2-1-1-1-1-2-2-2-222-1002222000011-1-11111-2-200000000-1-1-1-1000011002222-1222-1-1222-10000-1-2-2-1-1-1-1-2-2-2-222-1002222000011-1-11111-2-200000000-1-1-1-100001100
χ302222-1222-1-1222-10000-1-2-2-1-1-1-1-2-2-2-222-100-2-2-2-2000011-1-11111220000000011110000-1-1002222-1222-1-1222-10000-1-2-2-1-1-1-1-2-2-2-222-100-2-2-2-2000011-1-11111220000000011110000-1-100
χ3122-2-222002-22-2-2-22-22-22002-2-200000000002−22−22-22-20000000000000000002−22−22−22−2000022-2-222002-22-2-2-22-22-22002-2-200000000002−22−22-22-20000000000000000002−22−22−22−20000
χ3222-2-222002-22-2-2-22-22-22002-2-20000000000−22−222-22-2000000000000000000−22−22−22−22000022-2-222002-22-2-2-22-22-22002-2-20000000000−22−222-22-2000000000000000000−22−22−22−220000
χ3322-2-222002-22-2-2-2-22-222002-2-200000000002−22−2-22-220000000000000000002−22−2−22−22000022-2-222002-22-2-2-2-22-222002-2-200000000002−22−2-22-220000000000000000002−22−2−22−220000
χ3422-2-222002-22-2-2-2-22-222002-2-20000000000−22−22-22-22000000000000000000−22−222−22−2000022-2-222002-22-2-2-2-22-222002-2-20000000000−22−22-22-22000000000000000000−22−222−22−20000
χ352-22-22200-2-2-22-222i−2i−2i2i200-2-2200000000002−2−222i−2i−2i2i0000000000000000002−2−22i2−i2−i2i200002-22-22200-2-2-22-222i−2i−2i2i200-2-2200000000002−2−222i−2i−2i2i0000000000000000002−2−22i2−i2−i2i20000
χ362-22-22200-2-2-22-222i−2i−2i2i200-2-220000000000−222−22i−2i−2i2i000000000000000000−222−2−i2i2i2−i200002-22-22200-2-2-22-222i−2i−2i2i200-2-220000000000−222−22i−2i−2i2i000000000000000000−222−2−i2i2i2−i20000
χ372-22-22200-2-2-22-22−2i2i2i−2i200-2-2200000000002−2−22−2i2i2i−2i0000000000000000002−2−22−i2i2i2−i200002-22-22200-2-2-22-22−2i2i2i−2i200-2-2200000000002−2−22−2i2i2i−2i0000000000000000002−2−22−i2i2i2−i20000
χ382-22-22200-2-2-22-22−2i2i2i−2i200-2-220000000000−222−2−2i2i2i−2i000000000000000000−222−2i2−i2−i2i200002-22-22200-2-2-22-22−2i2i2i−2i200-2-220000000000−222−2−2i2i2i−2i000000000000000000−222−2i2−i2−i2i20000
χ392-2-2222-22-22-2-22-22i2i−2i−2i200-22-220000-22-2−2i2i00002i2i−2i−2i00-2200000000−2i2i00000000000000002-2-2222-22-22-2-22-22i2i−2i−2i200-22-220000-22-2−2i2i00002i2i−2i−2i00-2200000000−2i2i0000000000000000
χ402-2-2222-22-22-2-22-2−2i−2i2i2i200-22-220000-22-22i−2i0000−2i−2i2i2i00-22000000002i−2i00000000000000002-2-2222-22-22-2-22-2−2i−2i2i2i200-22-220000-22-22i−2i0000−2i−2i2i2i00-22000000002i−2i0000000000000000
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χ422-2-222-12-2-2211-1-22i2i−2i−2i-1−2i2i1-11-2ii−i−i-1122i−2i0000−i−iii−2i2i-11ii−i−i00-22−ii11-1-10000000000002-2-222-12-2-2211-1-22i2i−2i−2i-1−2i2i1-11-2ii−i−i-1122i−2i0000−i−iii−2i2i-11ii−i−i00-22−ii11-1-1000000000000
χ432-2-222-12-2-2211-1-2−2i−2i2i2i-12i−2i1-11-2−i−iii-112−2i2i0000ii−i−i2i−2i-11−i−iii00-22i−i11-1-10000000000002-2-222-12-2-2211-1-2−2i−2i2i2i-12i−2i1-11-2−i−iii-112−2i2i0000ii−i−i2i−2i-11−i−iii00-22i−i11-1-1000000000000
χ442-2-222-12-2-2211-1-2−2i−2i2i2i-1−2i2i1-11-2ii−i−i-112−2i2i0000ii−i−i−2i2i-11ii−i−i002-2i−i-1-1110000000000002-2-222-12-2-2211-1-2−2i−2i2i2i-1−2i2i1-11-2ii−i−i-112−2i2i0000ii−i−i−2i2i-11ii−i−i002-2i−i-1-111000000000000
χ452-2-222-1-22-2211-1-22i2i−2i−2i-1001-1123−3−331-1-2−2i2i0000−i−iii001-13−3−330000i−i−i3i3i3−i30000000000002-2-222-1-22-2211-1-22i2i−2i−2i-1001-1123−3−331-1-2−2i2i0000−i−iii001-13−3−330000i−i−i3i3i3−i3000000000000
χ462-2-222-1-22-2211-1-22i2i−2i−2i-1001-112−333−31-1-2−2i2i0000−i−iii001-1−333−30000i−ii3−i3−i3i30000000000002-2-222-1-22-2211-1-22i2i−2i−2i-1001-112−333−31-1-2−2i2i0000−i−iii001-1−333−30000i−ii3−i3−i3i3000000000000
χ472-2-222-1-22-2211-1-2−2i−2i2i2i-1001-1123−3−331-1-22i−2i0000ii−i−i001-13−3−330000−iii3−i3−i3i30000000000002-2-222-1-22-2211-1-2−2i−2i2i2i-1001-1123−3−331-1-22i−2i0000ii−i−i001-13−3−330000−iii3−i3−i3i3000000000000
χ482-2-222-1-22-2211-1-2−2i−2i2i2i-1001-112−333−31-1-22i−2i0000ii−i−i001-1−333−30000−ii−i3i3i3−i30000000000002-2-222-1-22-2211-1-2−2i−2i2i2i-1001-112−333−31-1-22i−2i0000ii−i−i001-1−333−30000−ii−i3i3i3−i3000000000000
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χ502-2-22-122-21-1-2-2210000-12i−2i1-1112i2i−2i−2i2-2-100-2-2220000−ii-11−i−iii−2i2i0000000011-1-10000i−i002-2-22-122-21-1-2-2210000-12i−2i1-1112i2i−2i−2i2-2-100-2-2220000−ii-11−i−iii−2i2i0000000011-1-10000i−i00
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χ522-2-22-122-21-1-2-2210000-1−2i2i1-111−2i−2i2i2i2-2-100-2-2220000i−i-11ii−i−i2i−2i0000000011-1-10000−ii002-2-22-122-21-1-2-2210000-1−2i2i1-111−2i−2i2i2i2-2-100-2-2220000i−i-11ii−i−i2i−2i0000000011-1-10000−ii00
χ534444-24-4-4-2-2444-20000-200-2-2-220000-4-4200000000000022000000000000000000000000004444-24-4-4-2-2444-20000-200-2-2-220000-4-420000000000002200000000000000000000000000
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χ554444-2-244-2-2-2-2-2-200001-4-4111-22222-2-2-200000000002211-1-1-1-100000000000000000000004444-2-244-2-2-2-2-2-200001-4-4111-22222-2-2-200000000002211-1-1-1-10000000000000000000000
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χ1232-2-22-122-21-1-2-2210000-1−2i2i1-111−2i−2i2i2i2-2-10022-2-20000i−i-11ii−i−i−2i2i00000000-1-1110000i−i00-222-21-2-22-1122-2-1000012i−2i-11-1-12i2i−2i−2i-22100-2-2220000−ii1-1−i−iii2i−2i0000000011-1-10000−ii00
χ1242-2-22-122-21-1-2-2210000-1−2i2i1-111−2i−2i2i2i2-2-100-2-2220000i−i-11ii−i−i2i−2i0000000011-1-10000−ii00-222-21-2-22-1122-2-1000012i−2i-11-1-12i2i−2i−2i-2210022-2-20000−ii1-1−i−iii−2i2i00000000-1-1110000i−i00
χ1254444-24-4-4-2-2444-20000-200-2-2-220000-4-420000000000002200000000000000000000000000-4-4-4-42-44422-4-4-420000200222-2000044-2000000000000-2-200000000000000000000000000
χ1264444-2-244-2-2-2-2-2-20000144111-2-2-2-2-2-2-2-20000000000-2-21111110000000000000000000000-4-4-4-422-4-42222220000-1-4-4-1-1-122222222000000000022-1-1-1-1-1-10000000000000000000000
χ1274444-2-244-2-2-2-2-2-200001-4-4111-22222-2-2-200000000002211-1-1-1-10000000000000000000000-4-4-4-422-4-42222220000-144-1-1-12-2-2-2-22220000000000-2-2-1-111110000000000000000000000
χ1284444-2-2-4-4-2-2-2-2-2-200001001112−2i32i3−2i32i3222000000000000-1-1i3−i3i3−i30000000000000000000000-4-4-4-422442222220000-100-1-1-1-22i3−2i32i3−2i3-2-2-200000000000011−i3i3−i3i30000000000000000000000
χ1294444-2-2-4-4-2-2-2-2-2-2000010011122i3−2i32i3−2i3222000000000000-1-1−i3i3−i3i30000000000000000000000-4-4-4-422442222220000-100-1-1-1-2−2i32i3−2i32i3-2-2-200000000000011i3−i3i3−i30000000000000000000000
χ13044-4-44-2004-4-222-44-44-4-200-22200000000000000-22-22000000000000000000000000000000-4-444-4200-442-2-24-44-442002-2-2000000000000002-22-2000000000000000000000000000000
χ13144-4-44-2004-4-222-4-44-44-200-222000000000000002-22-2000000000000000000000000000000-4-444-4200-442-2-244-44-42002-2-200000000000000-22-22000000000000000000000000000000
χ13244-4-4-2400-224-4-420000-200-222000000000022−2222−220000000000000000000000−22−2200000000-4-4442-4002-2-444-200002002-2-20000000000−2222−222200000000000000000000002−22−200000000
χ13344-4-4-2400-224-4-420000-200-2220000000000−2222−222200000000000000000000002−22−200000000-4-4442-4002-2-444-200002002-2-2000000000022−2222−220000000000000000000000−22−2200000000
χ1344-44-44-200-4-42-2244i−4i−4i4i-20022-200000000000000−2i2i2i−2i000000000000000000000000000000-44-44-420044-22-2-4−4i4i4i−4i200-2-22000000000000002i−2i−2i2i000000000000000000000000000000
χ1354-44-44-200-4-42-224−4i4i4i−4i-20022-2000000000000002i−2i−2i2i000000000000000000000000000000-44-44-420044-22-2-44i−4i−4i4i200-2-2200000000000000−2i2i2i−2i000000000000000000000000000000
χ1364-44-4-240022-44-4-20000-20022-2000000000022−22−22220000000000000000000000−222−200000000-44-442-400-2-24-4420000200-2-220000000000−222222−2200000000000000000000002−2−2200000000
χ1374-44-4-240022-44-4-20000-20022-20000000000−222222−2200000000000000000000002−2−2200000000-44-442-400-2-24-4420000200-2-22000000000022−22−22220000000000000000000000−222−200000000
χ1384-4-44-24-442-2-4-4420000-2002-22-20000-4420000000000002-200000000000000000000000000-444-42-44-4-2244-4-20000200-22-2200004-4-2000000000000-2200000000000000000000000000
χ1394-4-44-2-24-42-222-22000014i−4i-11-12−2i−2i2i2i-22-20000000000−2i2i1-1ii−i−i0000000000000000000000-444-422-44-22-2-22-20000-1−4i4i1-11-22i2i−2i−2i2-2200000000002i−2i-11−i−iii0000000000000000000000
χ1404-4-44-2-24-42-222-2200001−4i4i-11-122i2i−2i−2i-22-200000000002i−2i1-1−i−iii0000000000000000000000-444-422-44-22-2-22-20000-14i−4i1-11-2−2i−2i2i2i2-220000000000−2i2i-11ii−i−i0000000000000000000000
χ1414-4-44-2-2-442-222-220000100-11-1-223−23−23232-22000000000000-11−333−30000000000000000000000-444-4224-4-22-2-22-20000-1001-112−232323−23-22-20000000000001-13−3−330000000000000000000000
χ1424-4-44-2-2-442-222-220000100-11-1-2−232323−232-22000000000000-113−3−330000000000000000000000-444-4224-4-22-2-22-20000-1001-11223−23−2323-22-20000000000001-1−333−30000000000000000000000
χ14388-8-8-4-400-44-444400002002-2-2000000000000000000000000000000000000000000000000-8-88844004-44-4-4-40000-200-222000000000000000000000000000000000000000000000000
χ1448-88-8-4-400444-44-40000200-2-22000000000000000000000000000000000000000000000000-88-884400-4-4-44-440000-20022-2000000000000000000000000000000000000000000000000

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