Finite Group Databasebeta

← Group #11859886

Character table — Group #11859886

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222333344444444444444666666666688888888121212121212121212121212121218181818242436361111222222222233334444444444444466666666668888888812121212121212121212121212121818181824243636
order12223344666666444434466612121212121212124488881212121212121212121212122244666612122424242488881212442222664466666644446446661212121212121212448888121212121212121212121212224466661212242424248888121244
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
χ31111111111111111111-1-1111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111111-1-1111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111-1-1111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111-1-1111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
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
χ711111111111111-1-1-1-11-1-1111111-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-11-1-1111111-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111
χ811111111111111-1-1-1-11-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-111111111111111-1-1-1-11-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ91-1-11111-111-1-1-1-1ii−i−i1i−i-11-11-1-1ii−i−i1i−i11-1-1ii−i−ii−i1-1ii−i−i1-1i−i11-1-1i−i11-1-1ii−i−ii−i1-11-1-11111-111-1-1-1-1ii−i−i1i−i-11-11-1-1ii−i−i1i−i11-1-1ii−i−ii−i1-1ii−i−i1-1i−i11-1-1i−i11-1-1ii−i−ii−i1-1
χ101-1-11111-111-1-1-1-1ii−i−i1i−i-11-11-1-1ii−i−i1i−i-1-111ii−i−ii−i1-1ii−i−i1-1−ii11-1-1i−i-1-111−i−iii−ii-111-1-11111-111-1-1-1-1ii−i−i1i−i-11-11-1-1ii−i−i1i−i-1-111ii−i−ii−i1-1ii−i−i1-1−ii11-1-1i−i-1-111−i−iii−ii-11
χ111-1-11111-111-1-1-1-1ii−i−i1−ii-11-11-1-1−i−iii1i−i11-1-1ii−i−i−ii1-1−i−iii-11−ii-1-111i−i11-1-1ii−i−i−ii-111-1-11111-111-1-1-1-1ii−i−i1−ii-11-11-1-1−i−iii1i−i11-1-1ii−i−i−ii1-1−i−iii-11−ii-1-111i−i11-1-1ii−i−i−ii-11
χ121-1-11111-111-1-1-1-1ii−i−i1−ii-11-11-1-1−i−iii1i−i-1-111ii−i−i−ii1-1−i−iii-11i−i-1-111i−i-1-111−i−iiii−i1-11-1-11111-111-1-1-1-1ii−i−i1−ii-11-11-1-1−i−iii1i−i-1-111ii−i−i−ii1-1−i−iii-11i−i-1-111i−i-1-111−i−iiii−i1-1
χ131-1-11111-111-1-1-1-1−i−iii1i−i-11-11-1-1ii−i−i1−ii11-1-1−i−iiii−i1-1ii−i−i-11i−i-1-111−ii11-1-1−i−iiii−i-111-1-11111-111-1-1-1-1−i−iii1i−i-11-11-1-1ii−i−i1−ii11-1-1−i−iiii−i1-1ii−i−i-11i−i-1-111−ii11-1-1−i−iiii−i-11
χ141-1-11111-111-1-1-1-1−i−iii1i−i-11-11-1-1ii−i−i1−ii-1-111−i−iiii−i1-1ii−i−i-11−ii-1-111−ii-1-111ii−i−i−ii1-11-1-11111-111-1-1-1-1−i−iii1i−i-11-11-1-1ii−i−i1−ii-1-111−i−iiii−i1-1ii−i−i-11−ii-1-111−ii-1-111ii−i−i−ii1-1
χ151-1-11111-111-1-1-1-1−i−iii1−ii-11-11-1-1−i−iii1−ii11-1-1−i−iii−ii1-1−i−iii1-1−ii11-1-1−ii11-1-1−i−iii−ii1-11-1-11111-111-1-1-1-1−i−iii1−ii-11-11-1-1−i−iii1−ii11-1-1−i−iii−ii1-1−i−iii1-1−ii11-1-1−ii11-1-1−i−iii−ii1-1
χ161-1-11111-111-1-1-1-1−i−iii1−ii-11-11-1-1−i−iii1−ii-1-111−i−iii−ii1-1−i−iii1-1i−i11-1-1−ii-1-111ii−i−ii−i-111-1-11111-111-1-1-1-1−i−iii1−ii-11-11-1-1−i−iii1−ii-1-111−i−iii−ii1-1−i−iii1-1i−i11-1-1−ii-1-111ii−i−ii−i-11
χ17222222-2-22222222222200222-2-2-20000-2-2-20000222200-2-2000000000000-2-2000000000000222222-2-22222222222200222-2-2-20000-2-2-20000222200-2-2000000000000-2-2000000000000
χ18222222-2-2222222-2-2-2-2200222-2-2-20000-2220000-2-2-2-200-2-200000000000022000000000000222222-2-2222222-2-2-2-2200222-2-2-20000-2220000-2-2-2-200-2-200000000000022000000000000
χ1922222-1222-12-1-122222-122-1-1-1-12-1-1-1-1-12220000-1-1-1-122-1-1-1-1-1-12200-1-1-1-1-1-100000000000022222-1222-12-1-122222-122-1-1-1-12-1-1-1-1-12220000-1-1-1-122-1-1-1-1-1-12200-1-1-1-1-1-1000000000000
χ2022222-1222-12-1-122222-1-2-2-1-1-1-12-111112220000-1-1-1-1-2-2-1-11111-2-2001111-1-100000000000022222-1222-12-1-122222-1-2-2-1-1-1-12-111112220000-1-1-1-1-2-2-1-11111-2-2001111-1-1000000000000
χ2122222-1222-12-1-12-2-2-2-2-122-1-1-1-12-1-1-1-1-12-2-20000111122-1-1-1-1-1-1-2-20011111100000000000022222-1222-12-1-12-2-2-2-2-122-1-1-1-12-1-1-1-1-12-2-20000111122-1-1-1-1-1-1-2-200111111000000000000
χ2222222-1222-12-1-12-2-2-2-2-1-2-2-1-1-1-12-111112-2-200001111-2-2-1-111112200-1-1-1-11100000000000022222-1222-12-1-12-2-2-2-2-1-2-2-1-1-1-12-111112-2-200001111-2-2-1-111112200-1-1-1-111000000000000
χ2322222-1-2-22-12-1-122222-100-1-1-11-21−i3i3−i3i3-2-2-20000-1-1-1-10011−i3i3−i3i30000−i3i3−i3i31100000000000022222-1-2-22-12-1-122222-100-1-1-11-21−i3i3−i3i3-2-2-20000-1-1-1-10011−i3i3−i3i30000−i3i3−i3i311000000000000
χ2422222-1-2-22-12-1-122222-100-1-1-11-21i3−i3i3−i3-2-2-20000-1-1-1-10011i3−i3i3−i30000i3−i3i3−i31100000000000022222-1-2-22-12-1-122222-100-1-1-11-21i3−i3i3−i3-2-2-20000-1-1-1-10011i3−i3i3−i30000i3−i3i3−i311000000000000
χ2522222-1-2-22-12-1-12-2-2-2-2-100-1-1-11-21−i3i3−i3i3-222000011110011−i3i3−i3i30000i3−i3i3−i3-1-100000000000022222-1-2-22-12-1-12-2-2-2-2-100-1-1-11-21−i3i3−i3i3-222000011110011−i3i3−i3i30000i3−i3i3−i3-1-1000000000000
χ2622222-1-2-22-12-1-12-2-2-2-2-100-1-1-11-21i3−i3i3−i3-222000011110011i3−i3i3−i30000−i3i3−i3i3-1-100000000000022222-1-2-22-12-1-12-2-2-2-2-100-1-1-11-21i3−i3i3−i3-222000011110011i3−i3i3−i30000−i3i3−i3i3-1-1000000000000
χ272222-1222-12-122-10000-122-1-1-12-122222-10022220000-1-1-1-1-1-1-1-10022000000-1-1-1-10000-1-1002222-1222-12-122-10000-122-1-1-12-122222-10022220000-1-1-1-1-1-1-1-10022000000-1-1-1-10000-1-100
χ282222-1222-12-122-10000-122-1-1-12-122222-100-2-2-2-20000-1-1-1-1-1-1-1-100-2-20000001111000011002222-1222-12-122-10000-122-1-1-12-122222-100-2-2-2-20000-1-1-1-1-1-1-1-100-2-2000000111100001100
χ292222-1222-12-122-10000-1-2-2-1-1-12-12-2-2-2-2-1002222000011-1-1111100-2-2000000-1-1-1-1000011002222-1222-12-122-10000-1-2-2-1-1-12-12-2-2-2-2-1002222000011-1-1111100-2-2000000-1-1-1-100001100
χ302222-1222-12-122-10000-1-2-2-1-1-12-12-2-2-2-2-100-2-2-2-2000011-1-11111002200000011110000-1-1002222-1222-12-122-10000-1-2-2-1-1-12-12-2-2-2-2-100-2-2-2-2000011-1-11111002200000011110000-1-100
χ3122-2-22200-2-22-22-22-22-2200-2-220000000000−i2i2−i2i22-22-2000000000000000000−i2i2−i2i2−i2i2−i2i2000022-2-22200-2-22-22-22-22-2200-2-220000000000−i2i2−i2i22-22-2000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ3222-2-22200-2-22-22-22-22-2200-2-220000000000i2−i2i2−i22-22-2000000000000000000i2−i2i2−i2i2−i2i2−i2000022-2-22200-2-22-22-22-22-2200-2-220000000000i2−i2i2−i22-22-2000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ3322-2-22200-2-22-22-2-22-22200-2-220000000000−i2i2−i2i2-22-22000000000000000000−i2i2−i2i2i2−i2i2−i2000022-2-22200-2-22-22-2-22-22200-2-220000000000−i2i2−i2i2-22-22000000000000000000−i2i2−i2i2i2−i2i2−i20000
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χ362-22-22200-2-2-22-222i−2i−2i2i2002-2-20000000000i2−i2−i2i22i−2i−2i2i000000000000000000i2−i2−i2i2−222−200002-22-22200-2-2-22-222i−2i−2i2i2002-2-20000000000i2−i2−i2i22i−2i−2i2i000000000000000000i2−i2−i2i2−222−20000
χ372-22-22200-2-2-22-22−2i2i2i−2i2002-2-20000000000−i2i2i2−i2−2i2i2i−2i000000000000000000−i2i2i2−i2−222−200002-22-22200-2-2-22-22−2i2i2i−2i2002-2-20000000000−i2i2i2−i2−2i2i2i−2i000000000000000000−i2i2i2−i2−222−20000
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χ442-2-222-12-22-1-211-2−2i−2i2i2i-1−2i2i1-11-1-21ii−i−i2−2i2i0000ii−i−i−2i2i-11ii−i−i2-200-1-111i−i0000000000002-2-222-12-22-1-211-2−2i−2i2i2i-1−2i2i1-11-1-21ii−i−i2−2i2i0000ii−i−i−2i2i-11ii−i−i2-200-1-111i−i000000000000
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χ482-2-222-1-222-1-211-2−2i−2i2i2i-1001-1112-1−333−3-22i−2i0000ii−i−i001-1−333−30000−i3i3i3−i3−ii0000000000002-2-222-1-222-1-211-2−2i−2i2i2i-1001-1112-1−333−3-22i−2i0000ii−i−i001-1−333−30000−i3i3i3−i3−ii000000000000
χ492-2-22-122-2-121-2-210000-12i−2i1-1121-22i2i−2i−2i-10022-2-20000−ii-11−i−iii002i−2i000000-1-1110000−ii002-2-22-122-2-121-2-210000-12i−2i1-1121-22i2i−2i−2i-10022-2-20000−ii-11−i−iii002i−2i000000-1-1110000−ii00
χ502-2-22-122-2-121-2-210000-12i−2i1-1121-22i2i−2i−2i-100-2-2220000−ii-11−i−iii00−2i2i00000011-1-10000i−i002-2-22-122-2-121-2-210000-12i−2i1-1121-22i2i−2i−2i-100-2-2220000−ii-11−i−iii00−2i2i00000011-1-10000i−i00
χ512-2-22-122-2-121-2-210000-1−2i2i1-1121-2−2i−2i2i2i-10022-2-20000i−i-11ii−i−i00−2i2i000000-1-1110000i−i002-2-22-122-2-121-2-210000-1−2i2i1-1121-2−2i−2i2i2i-10022-2-20000i−i-11ii−i−i00−2i2i000000-1-1110000i−i00
χ522-2-22-122-2-121-2-210000-1−2i2i1-1121-2−2i−2i2i2i-100-2-2220000i−i-11ii−i−i002i−2i00000011-1-10000−ii002-2-22-122-2-121-2-210000-1−2i2i1-1121-2−2i−2i2i2i-100-2-2220000i−i-11ii−i−i002i−2i00000011-1-10000−ii00
χ534444-24-4-4-24-244-20000-200-2-2-2-42-40000200000000000022000000000000000000000000004444-24-4-4-24-244-20000-200-2-2-2-42-4000020000000000002200000000000000000000000000
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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χ1192-2-222-1-222-1-211-2−2i−2i2i2i-1001-1112-13−3−33-22i−2i0000ii−i−i001-13−3−330000i3−i3−i3i3−ii000000000000-222-2-212-2-212-1-122i2i−2i−2i100-11-1-1-21−333−32−2i2i0000−i−iii00-11−333−30000−i3i3i3−i3i−i000000000000
χ1202-2-222-1-222-1-211-2−2i−2i2i2i-1001-1112-1−333−3-22i−2i0000ii−i−i001-1−333−30000−i3i3i3−i3−ii000000000000-222-2-212-2-212-1-122i2i−2i−2i100-11-1-1-213−3−332−2i2i0000−i−iii00-113−3−330000i3−i3−i3i3i−i000000000000
χ1212-2-22-122-2-121-2-210000-12i−2i1-1121-22i2i−2i−2i-10022-2-20000−ii-11−i−iii002i−2i000000-1-1110000−ii00-222-21-2-221-2-122-100001−2i2i-11-1-2-12−2i−2i2i2i100-2-2220000i−i1-1ii−i−i00−2i2i00000011-1-10000i−i00
χ1222-2-22-122-2-121-2-210000-12i−2i1-1121-22i2i−2i−2i-100-2-2220000−ii-11−i−iii00−2i2i00000011-1-10000i−i00-222-21-2-221-2-122-100001−2i2i-11-1-2-12−2i−2i2i2i10022-2-20000i−i1-1ii−i−i002i−2i000000-1-1110000−ii00
χ1232-2-22-122-2-121-2-210000-1−2i2i1-1121-2−2i−2i2i2i-10022-2-20000i−i-11ii−i−i00−2i2i000000-1-1110000i−i00-222-21-2-221-2-122-1000012i−2i-11-1-2-122i2i−2i−2i100-2-2220000−ii1-1−i−iii002i−2i00000011-1-10000−ii00
χ1242-2-22-122-2-121-2-210000-1−2i2i1-1121-2−2i−2i2i2i-100-2-2220000i−i-11ii−i−i002i−2i00000011-1-10000−ii00-222-21-2-221-2-122-1000012i−2i-11-1-2-122i2i−2i−2i10022-2-20000−ii1-1−i−iii00−2i2i000000-1-1110000i−i00
χ1254444-24-4-4-24-244-20000-200-2-2-2-42-4000020000000000002200000000000000000000000000-4-4-4-42-4442-42-4-4200002002224-240000-2000000000000-2-200000000000000000000000000
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
χ1274444-2-244-2-2-2-2-2-200001-4-4111-2-2-22222-200000000002211-1-1-1-10000000000000000000000-4-4-4-422-4-42222220000-144-1-1-1222-2-2-2-220000000000-2-2-1-111110000000000000000000000
χ1284444-2-2-4-4-2-2-2-2-2-20000100111222−2i32i3−2i32i32000000000000-1-1i3−i3i3−i30000000000000000000000-4-4-4-422442222220000-100-1-1-1-2-2-22i3−2i32i3−2i3-200000000000011−i3i3−i3i30000000000000000000000
χ1294444-2-2-4-4-2-2-2-2-2-200001001112222i3−2i32i3−2i32000000000000-1-1−i3i3−i3i30000000000000000000000-4-4-4-422442222220000-100-1-1-1-2-2-2−2i32i3−2i32i3-200000000000011i3−i3i3−i30000000000000000000000
χ13044-4-44-200-4242-2-44-44-4-20022-200000000000000-22-22000000000000000000000000000000-4-444-42004-2-4-224-44-44200-2-22000000000000002-22-2000000000000000000000000000000
χ13144-4-44-200-4242-2-4-44-44-20022-2000000000000002-22-2000000000000000000000000000000-4-444-42004-2-4-2244-44-4200-2-2200000000000000-22-22000000000000000000000000000000
χ13244-4-4-24002-4-2-4420000-20022-20000000000−2i22i2−2i22i20000000000000000000000i2−i2i2−i200000000-4-4442-400-2424-4-20000200-2-2200000000002i2−2i22i2−2i20000000000000000000000−i2i2−i2i200000000
χ13344-4-4-24002-4-2-4420000-20022-200000000002i2−2i22i2−2i20000000000000000000000−i2i2−i2i200000000-4-4442-400-2424-4-20000200-2-220000000000−2i22i2−2i22i20000000000000000000000i2−i2i2−i200000000
χ1344-44-44-200-42-4-2244i−4i−4i4i-200-22200000000000000−2i2i2i−2i000000000000000000000000000000-44-44-42004-242-2-4−4i4i4i−4i2002-2-2000000000000002i−2i−2i2i000000000000000000000000000000
χ1354-44-44-200-42-4-224−4i4i4i−4i-200-222000000000000002i−2i−2i2i000000000000000000000000000000-44-44-42004-242-2-44i−4i−4i4i2002-2-200000000000000−2i2i2i−2i000000000000000000000000000000
χ1364-44-4-24002-424-4-20000-200-2220000000000−2i22i22i2−2i20000000000000000000000i2−i2−i2i200000000-44-442-400-24-2-44200002002-2-200000000002i2−2i2−2i22i20000000000000000000000−i2i2i2−i200000000
χ1374-44-4-24002-424-4-20000-200-22200000000002i2−2i2−2i22i20000000000000000000000−i2i2i2−i200000000-44-442-400-24-2-44200002002-2-20000000000−2i22i22i2−2i20000000000000000000000i2−i2−i2i200000000
χ1384-4-44-24-44-242-4-420000-2002-22-4-24000020000000000002-200000000000000000000000000-444-42-44-42-4-244-20000200-22-242-40000-2000000000000-2200000000000000000000000000
χ1394-4-44-2-24-4-2-22222000014i−4i-11-1-222−2i−2i2i2i-20000000000−2i2i1-1ii−i−i0000000000000000000000-444-422-4422-2-2-2-20000-1−4i4i1-112-2-22i2i−2i−2i200000000002i−2i-11−i−iii0000000000000000000000
χ1404-4-44-2-24-4-2-2222200001−4i4i-11-1-2222i2i−2i−2i-200000000002i−2i1-1−i−iii0000000000000000000000-444-422-4422-2-2-2-20000-14i−4i1-112-2-2−2i−2i2i2i20000000000−2i2i-11ii−i−i0000000000000000000000
χ1414-4-44-2-2-44-2-222220000100-11-12-2-223−23−23232000000000000-11−333−30000000000000000000000-444-4224-422-2-2-2-20000-1001-11-222−232323−23-20000000000001-13−3−330000000000000000000000
χ1424-4-44-2-2-44-2-222220000100-11-12-2-2−232323−232000000000000-113−3−330000000000000000000000-444-4224-422-2-2-2-20000-1001-11-22223−23−2323-20000000000001-1−333−30000000000000000000000
χ14388-8-8-4-40044-44-440000200-2-22000000000000000000000000000000000000000000000000-8-8884400-4-44-44-40000-20022-2000000000000000000000000000000000000000000000000
χ1448-88-8-4-400444-44-400002002-2-2000000000000000000000000000000000000000000000000-88-884400-4-4-44-440000-200-222000000000000000000000000000000000000000000000000

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