Finite Group Databasebeta

← Group #11857804

Character table — Group #11857804

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222333344444444444444666666666688888888121212121212121212121212121218181818242436361111222222222233334444444444444466666666668888888812121212121212121212121212121818181824243636
order1222334466666644443446661212121212121212228888121212121212121212121212224466666624242424888812124422226644666666444464466612121212121212122288881212121212121212121212122244666666242424248888121244
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
χ31111111111111111111-1-1111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111111111111111111-1-1111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ41111111111111111111-1-1111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ711111111111111-1-1-1-11-1-1111111-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111111111111-1-1-1-11-1-1111111-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111-1-1-1-11-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-111111111111111-1-1-1-11-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-1
χ911-1-1111-1-1-1-11-1111-1-111-1-1-1111-111-1-1-11-1ii−i−i11-1-11-11-111-1-11-1i−i1-111-1-1ii−i−iii−i−ii−ii−i11-1-1111-1-1-1-11-1111-1-111-1-1-1111-111-1-1-11-1ii−i−i11-1-11-11-111-1-11-1i−i1-111-1-1ii−i−iii−i−ii−ii−i
χ1011-1-1111-1-1-1-11-1111-1-111-1-1-1111-111-1-1-11-1−i−iii11-1-11-11-111-1-11-1−ii1-111-1-1−i−iii−i−iii−ii−ii11-1-1111-1-1-1-11-1111-1-111-1-1-1111-111-1-1-11-1−i−iii11-1-11-11-111-1-11-1−ii1-111-1-1−i−iii−i−iii−ii−ii
χ1111-1-1111-1-1-1-11-1111-1-11-11-1-1111-1-1-111-11-1ii−i−i11-1-1-111-1-1-111-11−ii1-1-1-111ii−i−iii−i−i−ii−ii11-1-1111-1-1-1-11-1111-1-11-11-1-1111-1-1-111-11-1ii−i−i11-1-1-111-1-1-111-11−ii1-1-1-111ii−i−iii−i−i−ii−ii
χ1211-1-1111-1-1-1-11-1111-1-11-11-1-1111-1-1-111-11-1−i−iii11-1-1-111-1-1-111-11i−i1-1-1-111−i−iii−i−iiii−ii−i11-1-1111-1-1-1-11-1111-1-11-11-1-1111-1-1-111-11-1−i−iii11-1-1-111-1-1-111-11i−i1-1-1-111−i−iii−i−iiii−ii−i
χ1311-1-1111-1-1-1-11-11-1-11111-1-1-1111-111-1-1-1-11ii−i−i-1-1111-11-111-1-1-11i−i-11-1-111ii−i−i−i−iiii−i−ii11-1-1111-1-1-1-11-11-1-11111-1-1-1111-111-1-1-1-11ii−i−i-1-1111-11-111-1-1-11i−i-11-1-111ii−i−i−i−iiii−i−ii
χ1411-1-1111-1-1-1-11-11-1-11111-1-1-1111-111-1-1-1-11−i−iii-1-1111-11-111-1-1-11−ii-11-1-111−i−iiiii−i−i−iii−i11-1-1111-1-1-1-11-11-1-11111-1-1-1111-111-1-1-1-11−i−iii-1-1111-11-111-1-1-11−ii-11-1-111−i−iiiii−i−i−iii−i
χ1511-1-1111-1-1-1-11-11-1-1111-11-1-1111-1-1-111-1-11ii−i−i-1-111-111-1-1-1111-1−ii-1111-1-1ii−i−i−i−iii−iii−i11-1-1111-1-1-1-11-11-1-1111-11-1-1111-1-1-111-1-11ii−i−i-1-111-111-1-1-1111-1−ii-1111-1-1ii−i−i−i−iii−iii−i
χ1611-1-1111-1-1-1-11-11-1-1111-11-1-1111-1-1-111-1-11−i−iii-1-111-111-1-1-1111-1i−i-1111-1-1−i−iiiii−i−ii−i−ii11-1-1111-1-1-1-11-11-1-1111-11-1-1111-1-1-111-1-11−i−iii-1-111-111-1-1-1111-1i−i-1111-1-1−i−iiiii−i−ii−i−ii
χ17222222-2-22222222222200222-2-2-20000-2-2-20000222200-2-200000000-2-20000000000000000222222-2-22222222222200222-2-2-20000-2-2-20000222200-2-200000000-2-20000000000000000
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χ1922222-1222-1-122-12222-122-1-1-12-1-1-1-1-1-12220000-1-1-1-122-1-1-1-1-1-12200-1-1-1-1-1-100000000000022222-1222-1-122-12222-122-1-1-12-1-1-1-1-1-12220000-1-1-1-122-1-1-1-1-1-12200-1-1-1-1-1-1000000000000
χ2022222-1222-1-122-12222-1-2-2-1-1-12-1-111112220000-1-1-1-1-2-2-1-11111-2-200-1-1111100000000000022222-1222-1-122-12222-1-2-2-1-1-12-1-111112220000-1-1-1-1-2-2-1-11111-2-200-1-11111000000000000
χ2122222-1222-1-122-1-2-2-2-2-122-1-1-12-1-1-1-1-1-12-2-20000111122-1-1-1-1-1-1-2-20011111100000000000022222-1222-1-122-1-2-2-2-2-122-1-1-12-1-1-1-1-1-12-2-20000111122-1-1-1-1-1-1-2-200111111000000000000
χ2222222-1222-1-122-1-2-2-2-2-1-2-2-1-1-12-1-111112-2-200001111-2-2-1-11111220011-1-1-1-100000000000022222-1222-1-122-1-2-2-2-2-1-2-2-1-1-12-1-111112-2-200001111-2-2-1-11111220011-1-1-1-1000000000000
χ2322222-1-2-22-1-122-12222-100-1-1-1-211−i3i3−i3i3-2-2-20000-1-1-1-10011−i3i3−i3i3000011−i3i3−i3i300000000000022222-1-2-22-1-122-12222-100-1-1-1-211−i3i3−i3i3-2-2-20000-1-1-1-10011−i3i3−i3i3000011−i3i3−i3i3000000000000
χ2422222-1-2-22-1-122-12222-100-1-1-1-211i3−i3i3−i3-2-2-20000-1-1-1-10011i3−i3i3−i3000011i3−i3i3−i300000000000022222-1-2-22-1-122-12222-100-1-1-1-211i3−i3i3−i3-2-2-20000-1-1-1-10011i3−i3i3−i3000011i3−i3i3−i3000000000000
χ2522222-1-2-22-1-122-1-2-2-2-2-100-1-1-1-211−i3i3−i3i3-222000011110011−i3i3−i3i30000-1-1i3−i3i3−i300000000000022222-1-2-22-1-122-1-2-2-2-2-100-1-1-1-211−i3i3−i3i3-222000011110011−i3i3−i3i30000-1-1i3−i3i3−i3000000000000
χ2622222-1-2-22-1-122-1-2-2-2-2-100-1-1-1-211i3−i3i3−i3-222000011110011i3−i3i3−i30000-1-1−i3i3−i3i300000000000022222-1-2-22-1-122-1-2-2-2-2-100-1-1-1-211i3−i3i3−i3-222000011110011i3−i3i3−i30000-1-1−i3i3−i3i3000000000000
χ272222-1222-122-1-120000-122-1-1-1-1222222-10022220000-1-1-1-1-1-1-1-10022000000-1-1-1-10000-1-1002222-1222-122-1-120000-122-1-1-1-1222222-10022220000-1-1-1-1-1-1-1-10022000000-1-1-1-10000-1-100
χ282222-1222-122-1-120000-122-1-1-1-1222222-100-2-2-2-20000-1-1-1-1-1-1-1-100-2-20000001111000011002222-1222-122-1-120000-122-1-1-1-1222222-100-2-2-2-20000-1-1-1-1-1-1-1-100-2-2000000111100001100
χ292222-1222-122-1-120000-1-2-2-1-1-1-122-2-2-2-2-1002222000011-1-1111100-2-2000000-1-1-1-1000011002222-1222-122-1-120000-1-2-2-1-1-1-122-2-2-2-2-1002222000011-1-1111100-2-2000000-1-1-1-100001100
χ302222-1222-122-1-120000-1-2-2-1-1-1-122-2-2-2-2-100-2-2-2-2000011-1-11111002200000011110000-1-1002222-1222-122-1-120000-1-2-2-1-1-1-122-2-2-2-2-100-2-2-2-2000011-1-11111002200000011110000-1-100
χ3122-2-222-22-2-2-22-2222-2-2200-2-22-2-2200002-22000022-2-200-2200000000-22000000000000000022-2-222-22-2-2-22-2222-2-2200-2-22-2-2200002-22000022-2-200-2200000000-220000000000000000
χ3222-2-222-22-2-2-22-22-2-222200-2-22-2-22000022-20000-2-22200-22000000002-2000000000000000022-2-222-22-2-2-22-22-2-222200-2-22-2-22000022-20000-2-22200-22000000002-20000000000000000
χ3322-2-22-12-2-2112-2-122-2-2-12-211-12-11-1-111-22-20000-1-1112-2-11-1-1112-200-11-1-11100000000000022-2-22-12-2-2112-2-122-2-2-12-211-12-11-1-111-22-20000-1-1112-2-11-1-1112-200-11-1-111000000000000
χ3422-2-22-12-2-2112-2-122-2-2-1-2211-12-1111-1-1-22-20000-1-111-22-1111-1-1-2200-1111-1-100000000000022-2-22-12-2-2112-2-122-2-2-1-2211-12-1111-1-1-22-20000-1-111-22-1111-1-1-2200-1111-1-1000000000000
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χ3822-2-22-1-22-2112-2-122-2-2-10011-1-21-1i3−i3−i3i32-220000-1-111001-1i3−i3−i3i300001-1i3−i3−i3i300000000000022-2-22-1-22-2112-2-122-2-2-10011-1-21-1i3−i3−i3i32-220000-1-111001-1i3−i3−i3i300001-1i3−i3−i3i3000000000000
χ3922-2-22-1-22-2112-2-1-2-222-10011-1-21-1−i3i3i3−i322-2000011-1-1001-1−i3i3i3−i30000-11i3−i3−i3i300000000000022-2-22-1-22-2112-2-1-2-222-10011-1-21-1−i3i3i3−i322-2000011-1-1001-1−i3i3i3−i30000-11i3−i3−i3i3000000000000
χ4022-2-22-1-22-2112-2-1-2-222-10011-1-21-1i3−i3−i3i322-2000011-1-1001-1i3−i3−i3i30000-11−i3i3i3−i300000000000022-2-22-1-22-2112-2-1-2-222-10011-1-21-1i3−i3−i3i322-2000011-1-1001-1i3−i3−i3i30000-11−i3i3i3−i3000000000000
χ4122-2-2-122-21-2-2-1120000-12-211-1-12-222-2-21002i2i−2i−2i0000-11-11-1-111002i−2i000000−i−iii0000−ii0022-2-2-122-21-2-2-1120000-12-211-1-12-222-2-21002i2i−2i−2i0000-11-11-1-111002i−2i000000−i−iii0000−ii00
χ4222-2-2-122-21-2-2-1120000-12-211-1-12-222-2-2100−2i−2i2i2i0000-11-11-1-11100−2i2i000000ii−i−i0000i−i0022-2-2-122-21-2-2-1120000-12-211-1-12-222-2-2100−2i−2i2i2i0000-11-11-1-11100−2i2i000000ii−i−i0000i−i00
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χ452-22-22200-22-2-22-22i−2i2i−2i2002-2-20000000000−i2i2−i2i22i−2i2i−2i000000000000000000−i2i2−i2i22−22−200002-22-22200-22-2-22-22i−2i2i−2i2002-2-20000000000−i2i2−i2i22i−2i2i−2i000000000000000000−i2i2−i2i22−22−20000
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χ534444-24-4-4-244-2-240000-200-2-2-22-4-40000200000000000022000000000000000000000000004444-24-4-4-244-2-240000-200-2-2-22-4-4000020000000000002200000000000000000000000000
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χ554444-2-244-2-2-2-2-2-200001-4-4111-2-2-22222-200000000002211-1-1-1-100000000000000000000004444-2-244-2-2-2-2-2-200001-4-4111-2-2-22222-200000000002211-1-1-1-10000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-20000100111222−2i32i3−2i32i32000000000000-1-1i3−i3i3−i300000000000000000000004444-2-2-4-4-2-2-2-2-2-20000100111222−2i32i3−2i32i32000000000000-1-1i3−i3i3−i30000000000000000000000
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χ1232-2-2222002-22-2-2-2−2i2i2i−2i200-22-200000000002−2−22−2i2i2i−2i0000000000000000002−2−22−i2i2i2−i20000-222-2-2-200-22-22222i−2i−2i2i-2002-220000000000−222−22i−2i−2i2i000000000000000000−222−2i2−i2−i2i20000
χ1242-2-2222002-22-2-2-2−2i2i2i−2i200-22-20000000000−222−2−2i2i2i−2i000000000000000000−222−2i2−i2−i2i20000-222-2-2-200-22-22222i−2i−2i2i-2002-2200000000002−2−222i−2i−2i2i0000000000000000002−2−22−i2i2i2−i20000
χ1254444-24-4-4-244-2-240000-200-2-2-22-4-4000020000000000002200000000000000000000000000-4-4-4-42-4442-4-422-40000200222-2440000-2000000000000-2-200000000000000000000000000
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
χ13044-4-4-24-442-4-4-2240000-20022-22-440000-20000000000002-200000000000000000000000000-4-4442-44-4-2442-2-40000200-2-22-24-400002000000000000-2200000000000000000000000000
χ13144-4-4-2-24-4222-22-2000014-4-1-11-2-22-2-22220000000000-221-111-1-10000000000000000000000-4-44422-44-2-2-22-220000-1-4411-122-222-2-2-200000000002-2-11-1-1110000000000000000000000
χ13244-4-4-2-24-4222-22-200001-44-1-11-2-2222-2-2200000000002-21-1-1-1110000000000000000000000-4-44422-44-2-2-22-220000-14-411-122-2-2-222-20000000000-22-1111-1-10000000000000000000000
χ13344-4-4-2-2-44222-22-20000100-1-1122-2−2i32i32i3−2i3-2000000000000-11i3−i3−i3i30000000000000000000000-4-444224-4-2-2-22-220000-10011-1-2-222i3−2i3−2i32i320000000000001-1−i3i3i3−i30000000000000000000000
χ13444-4-4-2-2-44222-22-20000100-1-1122-22i3−2i3−2i32i3-2000000000000-11−i3i3i3−i30000000000000000000000-4-444224-4-2-2-22-220000-10011-1-2-22−2i32i32i3−2i320000000000001-1i3−i3−i3i30000000000000000000000
χ1354-44-44-200-4-22-4424i−4i4i−4i-200-22200000000000000−2i2i−2i2i000000000000000000000000000000-44-44-420042-24-4-2−4i4i−4i4i2002-2-2000000000000002i−2i2i−2i000000000000000000000000000000
χ1364-44-44-200-4-22-442−4i4i−4i4i-200-222000000000000002i−2i2i−2i000000000000000000000000000000-44-44-420042-24-4-24i−4i4i−4i2002-2-200000000000000−2i2i−2i2i000000000000000000000000000000
χ1374-44-4-240024-42-2-40000-200-2220000000000−2i22i2−2i22i20000000000000000000000i2−i2i2−i200000000-44-442-400-2-44-22400002002-2-200000000002i2−2i22i2−2i20000000000000000000000−i2i2−i2i200000000
χ1384-44-4-240024-42-2-40000-200-22200000000002i2−2i22i2−2i20000000000000000000000−i2i2−i2i200000000-44-442-400-2-44-22400002002-2-20000000000−2i22i2−2i22i20000000000000000000000i2−i2i2−i200000000
χ1394-4-444-20042-2-4-424i−4i−4i4i-2002-2200000000000000−2i2i2i−2i000000000000000000000000000000-444-4-4200-4-2244-2−4i4i4i−4i200-22-2000000000000002i−2i−2i2i000000000000000000000000000000
χ1404-4-444-20042-2-4-42−4i4i4i−4i-2002-22000000000000002i−2i−2i2i000000000000000000000000000000-444-4-4200-4-2244-24i−4i−4i4i200-22-200000000000000−2i2i2i−2i000000000000000000000000000000
χ1414-4-44-2400-2-4422-40000-2002-22000000000022−22−22220000000000000000000000−222−200000000-444-42-40024-4-2-240000200-22-20000000000−222222−2200000000000000000000002−2−2200000000
χ1424-4-44-2400-2-4422-40000-2002-220000000000−222222−2200000000000000000000002−2−2200000000-444-42-40024-4-2-240000200-22-2000000000022−22−22220000000000000000000000−222−200000000
χ1438-88-8-4-4004-444-4400002002-2-2000000000000000000000000000000000000000000000000-88-884400-44-4-44-40000-200-222000000000000000000000000000000000000000000000000
χ1448-8-88-4-400-44-44440000200-22-2000000000000000000000000000000000000000000000000-888-844004-44-4-4-40000-2002-22000000000000000000000000000000000000000000000000

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