Finite Group Databasebeta

← Group #11859903

Character table — Group #11859903

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222333344444444444444666666666688888888121212121212121212121212121218181818242436361111222222222233334444444444444466666666668888888812121212121212121212121212121818181824243636
order1222334466666644443446661212121212121212448888121212121212121212121212444412121212121224242424888812122222226644666666444464466612121212121212124488881212121212121212121212124444121212121212242424248888121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111-1-11111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-11111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-111111111111111-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111111111111111-1-1-1-111111111111111-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
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
χ711111111111111-1-1-1-11-1-11111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111111111111-1-1-1-11-1-11111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
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
χ91-11-1111-11-1-1-1-11ii−i−i1i−i-11-1-1ii−i−i1-11i−i11-1-1ii−i−ii−i1-1ii−i−i1-1i−ii−i11-1-111-1-1ii−i−ii−i1-11-11-1111-11-1-1-1-11ii−i−i1i−i-11-1-1ii−i−i1-11i−i11-1-1ii−i−ii−i1-1ii−i−i1-1i−ii−i11-1-111-1-1ii−i−ii−i1-1
χ101-11-1111-11-1-1-1-11ii−i−i1i−i-11-1-1ii−i−i1-11i−i-1-111ii−i−ii−i1-1ii−i−i1-1−iii−i11-1-1-1-111−i−iii−ii-111-11-1111-11-1-1-1-11ii−i−i1i−i-11-1-1ii−i−i1-11i−i-1-111ii−i−ii−i1-1ii−i−i1-1−iii−i11-1-1-1-111−i−iii−ii-11
χ111-11-1111-11-1-1-1-11ii−i−i1−ii-11-1-1−i−iii1-11i−i11-1-1ii−i−i−ii1-1−i−iii-11−iii−i-1-11111-1-1ii−i−i−ii-111-11-1111-11-1-1-1-11ii−i−i1−ii-11-1-1−i−iii1-11i−i11-1-1ii−i−i−ii1-1−i−iii-11−iii−i-1-11111-1-1ii−i−i−ii-11
χ121-11-1111-11-1-1-1-11ii−i−i1−ii-11-1-1−i−iii1-11i−i-1-111ii−i−i−ii1-1−i−iii-11i−ii−i-1-111-1-111−i−iiii−i1-11-11-1111-11-1-1-1-11ii−i−i1−ii-11-1-1−i−iii1-11i−i-1-111ii−i−i−ii1-1−i−iii-11i−ii−i-1-111-1-111−i−iiii−i1-1
χ131-11-1111-11-1-1-1-11−i−iii1i−i-11-1-1ii−i−i1-11−ii11-1-1−i−iiii−i1-1ii−i−i-11i−i−ii-1-11111-1-1−i−iiii−i-111-11-1111-11-1-1-1-11−i−iii1i−i-11-1-1ii−i−i1-11−ii11-1-1−i−iiii−i1-1ii−i−i-11i−i−ii-1-11111-1-1−i−iiii−i-11
χ141-11-1111-11-1-1-1-11−i−iii1i−i-11-1-1ii−i−i1-11−ii-1-111−i−iiii−i1-1ii−i−i-11−ii−ii-1-111-1-111ii−i−i−ii1-11-11-1111-11-1-1-1-11−i−iii1i−i-11-1-1ii−i−i1-11−ii-1-111−i−iiii−i1-1ii−i−i-11−ii−ii-1-111-1-111ii−i−i−ii1-1
χ151-11-1111-11-1-1-1-11−i−iii1−ii-11-1-1−i−iii1-11−ii11-1-1−i−iii−ii1-1−i−iii1-1−ii−ii11-1-111-1-1−i−iii−ii1-11-11-1111-11-1-1-1-11−i−iii1−ii-11-1-1−i−iii1-11−ii11-1-1−i−iii−ii1-1−i−iii1-1−ii−ii11-1-111-1-1−i−iii−ii1-1
χ161-11-1111-11-1-1-1-11−i−iii1−ii-11-1-1−i−iii1-11−ii-1-111−i−iii−ii1-1−i−iii1-1i−i−ii11-1-1-1-111ii−i−ii−i-111-11-1111-11-1-1-1-11−i−iii1−ii-11-1-1−i−iii1-11−ii-1-111−i−iii−ii1-1−i−iii1-1i−i−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
χ1922222-12222-1-12-12222-122-1-1-12-1-1-1-1-1-12220000-1-1-1-122-1-1-1-1-1-12200-1-1-1-1-1-100000000000022222-12222-1-12-12222-122-1-1-12-1-1-1-1-1-12220000-1-1-1-122-1-1-1-1-1-12200-1-1-1-1-1-1000000000000
χ2022222-12222-1-12-12222-1-2-2-1-1-121111-1-12220000-1-1-1-1-2-2-1-11111-2-200-1-1111100000000000022222-12222-1-12-12222-1-2-2-1-1-121111-1-12220000-1-1-1-1-2-2-1-11111-2-200-1-11111000000000000
χ2122222-12222-1-12-1-2-2-2-2-122-1-1-12-1-1-1-1-1-12-2-20000111122-1-1-1-1-1-1-2-20011111100000000000022222-12222-1-12-1-2-2-2-2-122-1-1-12-1-1-1-1-1-12-2-20000111122-1-1-1-1-1-1-2-200111111000000000000
χ2222222-12222-1-12-1-2-2-2-2-1-2-2-1-1-121111-1-12-2-200001111-2-2-1-11111220011-1-1-1-100000000000022222-12222-1-12-1-2-2-2-2-1-2-2-1-1-121111-1-12-2-200001111-2-2-1-11111220011-1-1-1-1000000000000
χ2322222-1-2-222-1-12-12222-100-1-1-1-2−i3i3−i3i311-2-2-20000-1-1-1-10011−i3i3−i3i3000011−i3i3−i3i300000000000022222-1-2-222-1-12-12222-100-1-1-1-2−i3i3−i3i311-2-2-20000-1-1-1-10011−i3i3−i3i3000011−i3i3−i3i3000000000000
χ2422222-1-2-222-1-12-12222-100-1-1-1-2i3−i3i3−i311-2-2-20000-1-1-1-10011i3−i3i3−i3000011i3−i3i3−i300000000000022222-1-2-222-1-12-12222-100-1-1-1-2i3−i3i3−i311-2-2-20000-1-1-1-10011i3−i3i3−i3000011i3−i3i3−i3000000000000
χ2522222-1-2-222-1-12-1-2-2-2-2-100-1-1-1-2−i3i3−i3i311-222000011110011−i3i3−i3i30000-1-1i3−i3i3−i300000000000022222-1-2-222-1-12-1-2-2-2-2-100-1-1-1-2−i3i3−i3i311-222000011110011−i3i3−i3i30000-1-1i3−i3i3−i3000000000000
χ2622222-1-2-222-1-12-1-2-2-2-2-100-1-1-1-2i3−i3i3−i311-222000011110011i3−i3i3−i30000-1-1−i3i3−i3i300000000000022222-1-2-222-1-12-1-2-2-2-2-100-1-1-1-2i3−i3i3−i311-222000011110011i3−i3i3−i30000-1-1−i3i3−i3i3000000000000
χ272222-1222-1-122-120000-122-1-1-1-1222222-10022220000-1-1-1-1-1-1-1-10022000000-1-1-1-10000-1-1002222-1222-1-122-120000-122-1-1-1-1222222-10022220000-1-1-1-1-1-1-1-10022000000-1-1-1-10000-1-100
χ282222-1222-1-122-120000-122-1-1-1-1222222-100-2-2-2-20000-1-1-1-1-1-1-1-100-2-20000001111000011002222-1222-1-122-120000-122-1-1-1-1222222-100-2-2-2-20000-1-1-1-1-1-1-1-100-2-2000000111100001100
χ292222-1222-1-122-120000-1-2-2-1-1-1-1-2-2-2-222-1002222000011-1-1111100-2-2000000-1-1-1-1000011002222-1222-1-122-120000-1-2-2-1-1-1-1-2-2-2-222-1002222000011-1-1111100-2-2000000-1-1-1-100001100
χ302222-1222-1-122-120000-1-2-2-1-1-1-1-2-2-2-222-100-2-2-2-2000011-1-11111002200000011110000-1-1002222-1222-1-122-120000-1-2-2-1-1-1-1-2-2-2-222-100-2-2-2-2000011-1-11111002200000011110000-1-100
χ3122-2-22200-22-22-2-22i−2i2i−2i200-2-220000000000−i2i2−i2i22i−2i2i−2i000000000000000000−i2i2−i2i22−22−2000022-2-22200-22-22-2-22i−2i2i−2i200-2-220000000000−i2i2−i2i22i−2i2i−2i000000000000000000−i2i2−i2i22−22−20000
χ3222-2-22200-22-22-2-22i−2i2i−2i200-2-220000000000i2−i2i2−i22i−2i2i−2i000000000000000000i2−i2i2−i2−22−22000022-2-22200-22-22-2-22i−2i2i−2i200-2-220000000000i2−i2i2−i22i−2i2i−2i000000000000000000i2−i2i2−i2−22−220000
χ3322-2-22200-22-22-2-2−2i2i−2i2i200-2-220000000000−i2i2−i2i2−2i2i−2i2i000000000000000000−i2i2−i2i2−22−22000022-2-22200-22-22-2-2−2i2i−2i2i200-2-220000000000−i2i2−i2i2−2i2i−2i2i000000000000000000−i2i2−i2i2−22−220000
χ3422-2-22200-22-22-2-2−2i2i−2i2i200-2-220000000000i2−i2i2−i2−2i2i−2i2i000000000000000000i2−i2i2−i22−22−2000022-2-22200-22-22-2-2−2i2i−2i2i200-2-220000000000i2−i2i2−i2−2i2i−2i2i000000000000000000i2−i2i2−i22−22−20000
χ352-22-222-222-2-2-2-222i2i−2i−2i200-22-220000-22-2−2i2i00002i2i−2i−2i00-2200000000−2i2i00000000000000002-22-222-222-2-2-2-222i2i−2i−2i200-22-220000-22-2−2i2i00002i2i−2i−2i00-2200000000−2i2i0000000000000000
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χ382-22-22-12-22-211-2-12i2i−2i−2i-1−2i2i1-11-2ii−i−i-1122i−2i0000−i−iii−2i2i-11ii−i−i-2200−ii11-1-10000000000002-22-22-12-22-211-2-12i2i−2i−2i-1−2i2i1-11-2ii−i−i-1122i−2i0000−i−iii−2i2i-11ii−i−i-2200−ii11-1-1000000000000
χ392-22-22-12-22-211-2-1−2i−2i2i2i-12i−2i1-11-2−i−iii-112−2i2i0000ii−i−i2i−2i-11−i−iii-2200i−i11-1-10000000000002-22-22-12-22-211-2-1−2i−2i2i2i-12i−2i1-11-2−i−iii-112−2i2i0000ii−i−i2i−2i-11−i−iii-2200i−i11-1-1000000000000
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χ432-22-22-1-222-211-2-1−2i−2i2i2i-1001-1123−3−331-1-22i−2i0000ii−i−i001-13−3−330000−iii3−i3−i3i30000000000002-22-22-1-222-211-2-1−2i−2i2i2i-1001-1123−3−331-1-22i−2i0000ii−i−i001-13−3−330000−iii3−i3−i3i3000000000000
χ442-22-22-1-222-211-2-1−2i−2i2i2i-1001-112−333−31-1-22i−2i0000ii−i−i001-1−333−30000−ii−i3i3i3−i30000000000002-22-22-1-222-211-2-1−2i−2i2i2i-1001-112−333−31-1-22i−2i0000ii−i−i001-1−333−30000−ii−i3i3i3−i3000000000000
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χ482-22-2-122-2-11-2-2120000-1−2i2i1-111−2i−2i2i2i2-2-100-2-2220000i−i-11ii−i−i002i−2i00000011-1-10000−ii002-22-2-122-2-11-2-2120000-1−2i2i1-111−2i−2i2i2i2-2-100-2-2220000i−i-11ii−i−i002i−2i00000011-1-10000−ii00
χ492-2-222200-2-22-22-22-2-222002-2-20000000000−i2i2i2−i22-2-22000000000000000000−i2i2i2−i2−i2i2i2−i200002-2-222200-2-22-22-22-2-222002-2-20000000000−i2i2i2−i22-2-22000000000000000000−i2i2i2−i2−i2i2i2−i20000
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χ522-2-222200-2-22-22-2-222-22002-2-20000000000i2−i2−i2i2-222-2000000000000000000i2−i2−i2i2−i2i2i2−i200002-2-222200-2-22-22-2-222-22002-2-20000000000i2−i2−i2i2-222-2000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ534444-24-4-4-2-244-240000-200-2-2-220000-4-4200000000000022000000000000000000000000004444-24-4-4-2-244-240000-200-2-2-220000-4-420000000000002200000000000000000000000000
χ544444-2-244-2-2-2-2-2-20000144111-2-2-2-2-2-2-2-20000000000-2-211111100000000000000000000004444-2-244-2-2-2-2-2-20000144111-2-2-2-2-2-2-2-20000000000-2-21111110000000000000000000000
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χ1182-22-2-122-2-11-2-2120000-12i−2i1-1112i2i−2i−2i2-2-100-2-2220000−ii-11−i−iii00−2i2i00000011-1-10000i−i00-22-221-2-221-122-1-200001−2i2i-11-1-1−2i−2i2i2i-2210022-2-20000i−i1-1ii−i−i002i−2i000000-1-1110000−ii00
χ1192-22-2-122-2-11-2-2120000-1−2i2i1-111−2i−2i2i2i2-2-10022-2-20000i−i-11ii−i−i00−2i2i000000-1-1110000i−i00-22-221-2-221-122-1-2000012i−2i-11-1-12i2i−2i−2i-22100-2-2220000−ii1-1−i−iii002i−2i00000011-1-10000−ii00
χ1202-22-2-122-2-11-2-2120000-1−2i2i1-111−2i−2i2i2i2-2-100-2-2220000i−i-11ii−i−i002i−2i00000011-1-10000−ii00-22-221-2-221-122-1-2000012i−2i-11-1-12i2i−2i−2i-2210022-2-20000−ii1-1−i−iii00−2i2i000000-1-1110000i−i00
χ1212-2-222200-2-22-22-22-2-222002-2-20000000000−i2i2i2−i22-2-22000000000000000000−i2i2i2−i2−i2i2i2−i20000-222-2-2-20022-22-22-222-2-200-2220000000000i2−i2−i2i2-222-2000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ1222-2-222200-2-22-22-22-2-222002-2-20000000000i2−i2−i2i22-2-22000000000000000000i2−i2−i2i2i2−i2−i2i20000-222-2-2-20022-22-22-222-2-200-2220000000000−i2i2i2−i2-222-2000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ1232-2-222200-2-22-22-2-222-22002-2-20000000000−i2i2i2−i2-222-2000000000000000000−i2i2i2−i2i2−i2−i2i20000-222-2-2-20022-22-222-2-22-200-2220000000000i2−i2−i2i22-2-22000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ1242-2-222200-2-22-22-2-222-22002-2-20000000000i2−i2−i2i2-222-2000000000000000000i2−i2−i2i2−i2i2i2−i20000-222-2-2-20022-22-222-2-22-200-2220000000000−i2i2i2−i22-2-22000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ1254444-24-4-4-2-244-240000-200-2-2-220000-4-420000000000002200000000000000000000000000-4-4-4-42-44422-4-42-40000200222-2000044-2000000000000-2-200000000000000000000000000
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
χ13044-4-44-200-442-2-424i−4i4i−4i-20022-200000000000000−2i2i−2i2i000000000000000000000000000000-4-444-42004-4-224-2−4i4i−4i4i200-2-22000000000000002i−2i2i−2i000000000000000000000000000000
χ13144-4-44-200-442-2-42−4i4i−4i4i-20022-2000000000000002i−2i2i−2i000000000000000000000000000000-4-444-42004-4-224-24i−4i4i−4i200-2-2200000000000000−2i2i−2i2i000000000000000000000000000000
χ13244-4-4-24002-2-442-40000-20022-20000000000−2i22i2−2i22i20000000000000000000000i2−i2i2−i200000000-4-4442-400-224-4-240000200-2-2200000000002i2−2i22i2−2i20000000000000000000000−i2i2−i2i200000000
χ13344-4-4-24002-2-442-40000-20022-200000000002i2−2i22i2−2i20000000000000000000000−i2i2−i2i200000000-4-4442-400-224-4-240000200-2-220000000000−2i22i2−2i22i20000000000000000000000i2−i2i2−i200000000
χ1344-44-4-24-44-22-4-4240000-2002-22-20000-4420000000000002-200000000000000000000000000-44-442-44-42-244-2-40000200-22-2200004-4-2000000000000-2200000000000000000000000000
χ1354-44-4-2-24-4-22222-2000014i−4i-11-12−2i−2i2i2i-22-20000000000−2i2i1-1ii−i−i0000000000000000000000-44-4422-442-2-2-2-220000-1−4i4i1-11-22i2i−2i−2i2-2200000000002i−2i-11−i−iii0000000000000000000000
χ1364-44-4-2-24-4-22222-200001−4i4i-11-122i2i−2i−2i-22-200000000002i−2i1-1−i−iii0000000000000000000000-44-4422-442-2-2-2-220000-14i−4i1-11-2−2i−2i2i2i2-220000000000−2i2i-11ii−i−i0000000000000000000000
χ1374-44-4-2-2-44-22222-20000100-11-1-223−23−23232-22000000000000-11−333−30000000000000000000000-44-44224-42-2-2-2-220000-1001-112−232323−23-22-20000000000001-13−3−330000000000000000000000
χ1384-44-4-2-2-44-22222-20000100-11-1-2−232323−232-22000000000000-113−3−330000000000000000000000-44-44224-42-2-2-2-220000-1001-11223−23−2323-22-20000000000001-1−333−30000000000000000000000
χ1394-4-444-200-4-4-22424-4-44-200-22200000000000000-222-2000000000000000000000000000000-444-4-4200442-2-4-2-444-42002-2-2000000000000002-2-22000000000000000000000000000000
χ1404-4-444-200-4-4-2242-444-4-200-222000000000000002-2-22000000000000000000000000000000-444-4-4200442-2-4-24-4-442002-2-200000000000000-222-2000000000000000000000000000000
χ1414-4-44-2400224-4-2-40000-200-2220000000000−2i22i22i2−2i20000000000000000000000i2−i2−i2i200000000-444-42-400-2-2-442400002002-2-200000000002i2−2i2−2i22i20000000000000000000000−i2i2i2−i200000000
χ1424-4-44-2400224-4-2-40000-200-22200000000002i2−2i2−2i22i20000000000000000000000−i2i2i2−i200000000-444-42-400-2-2-442400002002-2-20000000000−2i22i22i2−2i20000000000000000000000i2−i2−i2i200000000
χ14388-8-8-4-4004-44-4440000200-2-22000000000000000000000000000000000000000000000000-8-8884400-44-44-4-40000-20022-2000000000000000000000000000000000000000000000000
χ1448-8-88-4-40044-44-4400002002-2-2000000000000000000000000000000000000000000000000-888-84400-4-44-44-40000-200-222000000000000000000000000000000000000000000000000

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