Finite Group Databasebeta

← Group #11859838

Character table — Group #11859838

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222333344444444444444666666666688888888121212121212121212121212121218181818242436361111222222222233334444444444444466666666668888888812121212121212121212121212121818181824243636
order12223344666666444422366666661212121244888812121212666666121244441212121212122424242488881212222222664466666644442266666666121212124488881212121266666612124444121212121212242424248888121222
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
χ3111111111111111111-1-11-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1111111111111111111-1-11-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ4111111111111111111-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ711111111111111-1-1-1-1-1-11-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-11-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111-1-111111111111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111-1-1
χ911-1-111-11-111-1-1-1ii−i−i1-1111-1-1-1-1111-1-1i−iii−i−iii−i−i1-111-1-11-1i−ii−ii−iii−i−iii−i−i11-1-1i−i1-111-1-111-11-111-1-1-1ii−i−i1-1111-1-1-1-1111-1-1i−iii−i−iii−i−i1-111-1-11-1i−ii−ii−iii−i−iii−i−i11-1-1i−i1-1
χ1011-1-111-11-111-1-1-1ii−i−i1-1111-1-1-1-1111-1-1i−i−i−iiiii−i−i1-111-1-11-1i−i−iii−iii−i−i−i−iii-1-111−ii-1111-1-111-11-111-1-1-1ii−i−i1-1111-1-1-1-1111-1-1i−i−i−iiiii−i−i1-111-1-11-1i−i−iii−iii−i−i−i−iii-1-111−ii-11
χ1111-1-111-11-111-1-1-1ii−i−i-111-1-111-1-1111-1-1i−iii−i−iii−i−i-11-1-1111-1−ii−iii−i−i−iiiii−i−i11-1-1−ii-1111-1-111-11-111-1-1-1ii−i−i-111-1-111-1-1111-1-1i−iii−i−iii−i−i-11-1-1111-1−ii−iii−i−i−iiiii−i−i11-1-1−ii-11
χ1211-1-111-11-111-1-1-1ii−i−i-111-1-111-1-1111-1-1i−i−i−iiiii−i−i-11-1-1111-1−iii−ii−i−i−iii−i−iii-1-111i−i1-111-1-111-11-111-1-1-1ii−i−i-111-1-111-1-1111-1-1i−i−i−iiiii−i−i-11-1-1111-1−iii−ii−i−i−iii−i−iii-1-111i−i1-1
χ1311-1-111-11-111-1-1-1−i−iii1-1111-1-1-1-1111-1-1−iiii−i−i−i−iii1-111-1-11-1−iii−i−ii−i−iiiii−i−i-1-111i−i-1111-1-111-11-111-1-1-1−i−iii1-1111-1-1-1-1111-1-1−iiii−i−i−i−iii1-111-1-11-1−iii−i−ii−i−iiiii−i−i-1-111i−i-11
χ1411-1-111-11-111-1-1-1−i−iii1-1111-1-1-1-1111-1-1−ii−i−iii−i−iii1-111-1-11-1−ii−ii−ii−i−iii−i−iii11-1-1−ii1-111-1-111-11-111-1-1-1−i−iii1-1111-1-1-1-1111-1-1−ii−i−iii−i−iii1-111-1-11-1−ii−ii−ii−i−iii−i−iii11-1-1−ii1-1
χ1511-1-111-11-111-1-1-1−i−iii-111-1-111-1-1111-1-1−iiii−i−i−i−iii-11-1-1111-1i−i−ii−iiii−i−iii−i−i-1-111−ii1-111-1-111-11-111-1-1-1−i−iii-111-1-111-1-1111-1-1−iiii−i−i−i−iii-11-1-1111-1i−i−ii−iiii−i−iii−i−i-1-111−ii1-1
χ1611-1-111-11-111-1-1-1−i−iii-111-1-111-1-1111-1-1−ii−i−iii−i−iii-11-1-1111-1i−ii−i−iiii−i−i−i−iii11-1-1i−i-1111-1-111-11-111-1-1-1−i−iii-111-1-111-1-1111-1-1−ii−i−iii−i−iii-11-1-1111-1i−ii−i−iiii−i−i−i−iii11-1-1i−i-11
χ17222222-2-222222222220020000222-2-2-2-2-2-200002222000000-2-20000-2-20000000000000000222222-2-222222222220020000222-2-2-2-2-2-200002222000000-2-20000-2-20000000000000000
χ18222222-2-2222222-2-2-2-20020000222-2-2-2-2220000-2-2-2-2000000-2-20000220000000000000000222222-2-2222222-2-2-2-20020000222-2-2-2-2220000-2-2-2-2000000-2-20000220000000000000000
χ1922222-12222-1-12-1222222-1-1-1-1-1-1-1-12-1-12220000-1-1-1-122-1-1-1-1-1-12200-1-1-1-1-1-100000000000022222-12222-1-12-1222222-1-1-1-1-1-1-1-12-1-12220000-1-1-1-122-1-1-1-1-1-12200-1-1-1-1-1-1000000000000
χ2022222-12222-1-12-12222-2-2-11111-1-1-12-1-12220000-1-1-1-1-2-21111-1-1-2-200-1-1111100000000000022222-12222-1-12-12222-2-2-11111-1-1-12-1-12220000-1-1-1-1-2-21111-1-1-2-200-1-11111000000000000
χ2122222-12222-1-12-1-2-2-2-222-1-1-1-1-1-1-1-12-1-12-2-20000111122-1-1-1-1-1-1-2-20011111100000000000022222-12222-1-12-1-2-2-2-222-1-1-1-1-1-1-1-12-1-12-2-20000111122-1-1-1-1-1-1-2-200111111000000000000
χ2222222-12222-1-12-1-2-2-2-2-2-2-11111-1-1-12-1-12-2-200001111-2-21111-1-1220011-1-1-1-100000000000022222-12222-1-12-1-2-2-2-2-2-2-11111-1-1-12-1-12-2-200001111-2-21111-1-1220011-1-1-1-1000000000000
χ2322222-1-2-222-1-12-1222200-1−i3i3−i3i3-1-1-1-211-2-2-20000-1-1-1-100−i3i3−i3i311000011−i3i3−i3i300000000000022222-1-2-222-1-12-1222200-1−i3i3−i3i3-1-1-1-211-2-2-20000-1-1-1-100−i3i3−i3i311000011−i3i3−i3i3000000000000
χ2422222-1-2-222-1-12-1222200-1i3−i3i3−i3-1-1-1-211-2-2-20000-1-1-1-100i3−i3i3−i311000011i3−i3i3−i300000000000022222-1-2-222-1-12-1222200-1i3−i3i3−i3-1-1-1-211-2-2-20000-1-1-1-100i3−i3i3−i311000011i3−i3i3−i3000000000000
χ2522222-1-2-222-1-12-1-2-2-2-200-1−i3i3−i3i3-1-1-1-211-2220000111100−i3i3−i3i3110000-1-1i3−i3i3−i300000000000022222-1-2-222-1-12-1-2-2-2-200-1−i3i3−i3i3-1-1-1-211-2220000111100−i3i3−i3i3110000-1-1i3−i3i3−i3000000000000
χ2622222-1-2-222-1-12-1-2-2-2-200-1i3−i3i3−i3-1-1-1-211-2220000111100i3−i3i3−i3110000-1-1−i3i3−i3i300000000000022222-1-2-222-1-12-1-2-2-2-200-1i3−i3i3−i3-1-1-1-211-2220000111100i3−i3i3−i3110000-1-1−i3i3−i3i3000000000000
χ272222-1222-1-122-12000022-12222-1-1-1-122-10022220000-1-1-1-1-1-1-1-10022000000-1-1-1-10000-1-1002222-1222-1-122-12000022-12222-1-1-1-122-10022220000-1-1-1-1-1-1-1-10022000000-1-1-1-10000-1-100
χ282222-1222-1-122-12000022-12222-1-1-1-122-100-2-2-2-20000-1-1-1-1-1-1-1-100-2-20000001111000011002222-1222-1-122-12000022-12222-1-1-1-122-100-2-2-2-20000-1-1-1-1-1-1-1-100-2-2000000111100001100
χ292222-1222-1-122-120000-2-2-1-2-2-2-2-1-1-1-122-10022220000111111-1-100-2-2000000-1-1-1-1000011002222-1222-1-122-120000-2-2-1-2-2-2-2-1-1-1-122-10022220000111111-1-100-2-2000000-1-1-1-100001100
χ302222-1222-1-122-120000-2-2-1-2-2-2-2-1-1-1-122-100-2-2-2-20000111111-1-1002200000011110000-1-1002222-1222-1-122-120000-2-2-1-2-2-2-2-1-1-1-122-100-2-2-2-20000111111-1-1002200000011110000-1-100
χ3122-2-2222-2-222-2-2-22i2i−2i−2i0020000-2-22-2-222−2i2i00002i2i−2i−2i000000-220000−2i2i000000000000000022-2-2222-2-222-2-2-22i2i−2i−2i0020000-2-22-2-222−2i2i00002i2i−2i−2i000000-220000−2i2i0000000000000000
χ3222-2-2222-2-222-2-2-2−2i−2i2i2i0020000-2-22-2-2222i−2i0000−2i−2i2i2i000000-2200002i−2i000000000000000022-2-2222-2-222-2-2-2−2i−2i2i2i0020000-2-22-2-2222i−2i0000−2i−2i2i2i000000-2200002i−2i0000000000000000
χ3322-2-22-12-2-22-11-212i2i−2i−2i00-1−i3i3i3−i311-1-21-12−2i2i0000−i−iii00−i3i3i3−i31-10000i−i3−3−3300000000000022-2-22-12-2-22-11-212i2i−2i−2i00-1−i3i3i3−i311-1-21-12−2i2i0000−i−iii00−i3i3i3−i31-10000i−i3−3−33000000000000
χ3422-2-22-12-2-22-11-212i2i−2i−2i00-1i3−i3−i3i311-1-21-12−2i2i0000−i−iii00i3−i3−i3i31-10000i−i−333−300000000000022-2-22-12-2-22-11-212i2i−2i−2i00-1i3−i3−i3i311-1-21-12−2i2i0000−i−iii00i3−i3−i3i31-10000i−i−333−3000000000000
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χ3722-2-22-1-22-22-11-212i2i−2i−2i2-2-1-1-11111-12-11-22i−2i0000−i−iii2-2-1-111-112i−2i00−ii−i−iii00000000000022-2-22-1-22-22-11-212i2i−2i−2i2-2-1-1-11111-12-11-22i−2i0000−i−iii2-2-1-111-112i−2i00−ii−i−iii000000000000
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χ4122-2-2-12-221-12-21-200002-2-122-2-211-1-12-21002i2i−2i−2i0000-11-1-111-11002i−2i000000−i−iii0000−ii0022-2-2-12-221-12-21-200002-2-122-2-211-1-12-21002i2i−2i−2i0000-11-1-111-11002i−2i000000−i−iii0000−ii00
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χ522-2-222200-2-2-2-222-222-20020000-22-2000000−222−2-222-2000000000000000000−222−2−222−200002-2-222200-2-2-2-222-222-20020000-22-2000000−222−2-222-2000000000000000000−222−2−222−20000
χ534444-24-4-4-2-244-24000000-20000-2-2-22-4-4200000000000000002200000000000000000000004444-24-4-4-2-244-24000000-20000-2-2-22-4-420000000000000000220000000000000000000000
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χ1222-2-222200-2-2-2-2222-2-220020000-22-2000000−222−22-2-22000000000000000000−222−22−2−220000-222-2-2-2002222-2-2-222-200-200002-220000002−2−22-222-20000000000000000002−2−22−222−20000
χ1232-2-222200-2-2-2-222-222-20020000-22-20000002−2−22-222-20000000000000000002−2−222−2−220000-222-2-2-2002222-2-22-2-2200-200002-22000000−222−22-2-22000000000000000000−222−2−222−20000
χ1242-2-222200-2-2-2-222-222-20020000-22-2000000−222−2-222-2000000000000000000−222−2−222−20000-222-2-2-2002222-2-22-2-2200-200002-220000002−2−222-2-220000000000000000002−2−222−2−220000
χ1254444-24-4-4-2-244-24000000-20000-2-2-22-4-420000000000000000220000000000000000000000-4-4-4-42-44422-4-42-400000020000222-244-20000000000000000-2-20000000000000000000000
χ1264444-2-244-2-2-2-2-2-20000441-2-2-2-2111-2-2-2-20000000000-2-21111110000000000000000000000-4-4-4-422-4-42222220000-4-4-12222-1-1-12222000000000022-1-1-1-1-1-10000000000000000000000
χ1274444-2-244-2-2-2-2-2-20000-4-412222111-2-2-2-2000000000022-1-1-1-1110000000000000000000000-4-4-4-422-4-4222222000044-1-2-2-2-2-1-1-122220000000000-2-21111-1-10000000000000000000000
χ1284444-2-2-4-4-2-2-2-2-2-20000001−2i32i3−2i32i31112222000000000000i3−i3i3−i3-1-10000000000000000000000-4-4-4-42244222222000000-12i3−2i32i3−2i3-1-1-1-2-2-2-2000000000000−i3i3−i3i3110000000000000000000000
χ1294444-2-2-4-4-2-2-2-2-2-200000012i3−2i32i3−2i31112222000000000000−i3i3−i3i3-1-10000000000000000000000-4-4-4-42244222222000000-1−2i32i3−2i32i3-1-1-1-2-2-2-2000000000000i3−i3i3−i3110000000000000000000000
χ13044-4-4-244-42-24-42-4000000-2000022-22-44-200000000000000002-20000000000000000000000-4-4442-4-44-22-44-2400000020000-2-22-24-420000000000000000-220000000000000000000000
χ13144-4-4-2-24-42-2-22220000001−2i32i32i3−2i3-1-1122-2-2000000000000i3−i3−i3i3-110000000000000000000000-4-44422-44-222-2-2-2000000-12i3−2i3−2i32i311-1-2-222000000000000−i3i3i3−i31-10000000000000000000000
χ13244-4-4-2-24-42-2-222200000012i3−2i3−2i32i3-1-1122-2-2000000000000−i3i3i3−i3-110000000000000000000000-4-44422-44-222-2-2-2000000-1−2i32i32i3−2i311-1-2-222000000000000i3−i3−i3i31-10000000000000000000000
χ13344-4-4-2-2-442-2-222200004-41-2-222-1-11-2-2220000000000-2211-1-11-10000000000000000000000-4-444224-4-222-2-2-20000-44-122-2-211-122-2-200000000002-2-1-111-110000000000000000000000
χ13444-4-4-2-2-442-2-22220000-44122-2-2-1-11-2-22200000000002-2-1-1111-10000000000000000000000-4-444224-4-222-2-2-200004-4-1-2-22211-122-2-20000000000-2211-1-1-110000000000000000000000
χ1354-44-44-2004-42-2-424i−4i4i−4i00-20000-2220000000000−2i2i−2i2i000000000000000000000000000000-44-44-4200-44-224-2−4i4i−4i4i00200002-2-200000000002i−2i2i−2i000000000000000000000000000000
χ1364-44-44-2004-42-2-42−4i4i−4i4i00-20000-22200000000002i−2i2i−2i000000000000000000000000000000-44-44-4200-44-224-24i−4i4i−4i00200002-2-20000000000−2i2i−2i2i000000000000000000000000000000
χ1374-44-4-2400-22-442-4000000-20000-222000000−2i22i2−2i22i20000000000000000000000i2−i2i2−i200000000-44-442-4002-24-4-24000000200002-2-20000002i2−2i22i2−2i20000000000000000000000−i2i2−i2i200000000
χ1384-44-4-2400-22-442-4000000-20000-2220000002i2−2i22i2−2i20000000000000000000000−i2i2−i2i200000000-44-442-4002-24-4-24000000200002-2-2000000−2i22i2−2i22i20000000000000000000000i2−i2i2−i200000000
χ1394-4-444-200-4-4224-24-4-4400-200002-220000000000-222-2000000000000000000000000000000-444-4-420044-2-2-42-444-40020000-22-200000000002-2-22000000000000000000000000000000
χ1404-4-444-200-4-4224-2-444-400-200002-2200000000002-2-22000000000000000000000000000000-444-4-420044-2-2-424-4-440020000-22-20000000000-222-2000000000000000000000000000000
χ1414-4-44-240022-4-4-24000000-200002-2200000022−22−22220000000000000000000000−222−200000000-444-42-400-2-2442-400000020000-22-2000000−222222−2200000000000000000000002−2−2200000000
χ1424-4-44-240022-4-4-24000000-200002-22000000−222222−2200000000000000000000002−2−2200000000-444-42-400-2-2442-400000020000-22-200000022−22−22220000000000000000000000−222−200000000
χ1438-88-8-4-400-444-444000000200002-2-200000000000000000000000000000000000000000000-88-8844004-4-44-4-4000000-20000-22200000000000000000000000000000000000000000000
χ1448-8-88-4-4004444-4-400000020000-22-200000000000000000000000000000000000000000000-888-84400-4-4-4-444000000-200002-2200000000000000000000000000000000000000000000

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