Finite Group Databasebeta

← Group #11857796

Character table — Group #11857796

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222333344444444444444666666666688888888121212121212121212121212121218181818242436361111222222222233334444444444444466666666668888888812121212121212121212121212121818181824243636
order1222334466666644442236666666121212122288881212121266666612124444661212121224242424888812124422226644666666444422666666661212121222888812121212666666121244446612121212242424248888121244
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
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
χ4111111111111111111-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ711111111111111-1-1-1-1-1-11-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-11-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-111
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
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χ101-11-1111-1-1-1-11-1111-1-11-1111-1-1-1-1111-1-11-1−i−iii11-1-11-111-1-11-1−ii1-11-111-1-1−i−iii−i−iii−ii−ii1-11-1111-1-1-1-11-1111-1-11-1111-1-1-1-1111-1-11-1−i−iii11-1-11-111-1-11-1−ii1-11-111-1-1−i−iii−i−iii−ii−ii
χ111-11-1111-1-1-1-11-1111-1-1-111-1-111-1-1111-1-11-1ii−i−i11-1-1-11-1-1111-1−ii-111-1-1-111ii−i−iii−i−i−ii−ii1-11-1111-1-1-1-11-1111-1-1-111-1-111-1-1111-1-11-1ii−i−i11-1-1-11-1-1111-1−ii-111-1-1-111ii−i−iii−i−i−ii−ii
χ121-11-1111-1-1-1-11-1111-1-1-111-1-111-1-1111-1-11-1−i−iii11-1-1-11-1-1111-1i−i-111-1-1-111−i−iii−i−iiii−ii−i1-11-1111-1-1-1-11-1111-1-1-111-1-111-1-1111-1-11-1−i−iii11-1-1-11-1-1111-1i−i-111-1-1-111−i−iii−i−iiii−ii−i
χ131-11-1111-1-1-1-11-11-1-1111-1111-1-1-1-1111-1-1-11ii−i−i-1-1111-111-1-11-1i−i-11-11-1-111ii−i−i−i−iiii−i−ii1-11-1111-1-1-1-11-11-1-1111-1111-1-1-1-1111-1-1-11ii−i−i-1-1111-111-1-11-1i−i-11-11-1-111ii−i−i−i−iiii−i−ii
χ141-11-1111-1-1-1-11-11-1-1111-1111-1-1-1-1111-1-1-11−i−iii-1-1111-111-1-11-1−ii-11-11-1-111−i−iiiii−i−i−iii−i1-11-1111-1-1-1-11-11-1-1111-1111-1-1-1-1111-1-1-11−i−iii-1-1111-111-1-11-1−ii-11-11-1-111−i−iiiii−i−i−iii−i
χ151-11-1111-1-1-1-11-11-1-111-111-1-111-1-1111-1-1-11ii−i−i-1-111-11-1-1111-1−ii1-1-1111-1-1ii−i−i−i−iii−iii−i1-11-1111-1-1-1-11-11-1-111-111-1-111-1-1111-1-1-11ii−i−i-1-111-11-1-1111-1−ii1-1-1111-1-1ii−i−i−i−iii−iii−i
χ161-11-1111-1-1-1-11-11-1-111-111-1-111-1-1111-1-1-11−i−iii-1-111-11-1-1111-1i−i1-1-1111-1-1−i−iiiii−i−ii−i−ii1-11-1111-1-1-1-11-11-1-111-111-1-111-1-1111-1-1-11−i−iii-1-111-11-1-1111-1i−i1-1-1111-1-1−i−iiiii−i−ii−i−ii
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χ1922222-1222-1-122-1222222-1-1-1-1-1-1-1-12-1-12220000-1-1-1-122-1-1-1-1-1-10022-1-1-1-1-1-100000000000022222-1222-1-122-1222222-1-1-1-1-1-1-1-12-1-12220000-1-1-1-122-1-1-1-1-1-10022-1-1-1-1-1-1000000000000
χ2022222-1222-1-122-12222-2-2-11111-1-1-12-1-12220000-1-1-1-1-2-21111-1-100-2-2-1-1111100000000000022222-1222-1-122-12222-2-2-11111-1-1-12-1-12220000-1-1-1-1-2-21111-1-100-2-2-1-11111000000000000
χ2122222-1222-1-122-1-2-2-2-222-1-1-1-1-1-1-1-12-1-12-2-20000111122-1-1-1-1-1-100-2-211111100000000000022222-1222-1-122-1-2-2-2-222-1-1-1-1-1-1-1-12-1-12-2-20000111122-1-1-1-1-1-100-2-2111111000000000000
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χ272222-1222-122-1-12000022-12222-1-1-1-122-10022220000-1-1-1-1-1-1-1-12200000000-1-1-1-10000-1-1002222-1222-122-1-12000022-12222-1-1-1-122-10022220000-1-1-1-1-1-1-1-12200000000-1-1-1-10000-1-100
χ282222-1222-122-1-12000022-12222-1-1-1-122-100-2-2-2-20000-1-1-1-1-1-1-1-1-2-2000000001111000011002222-1222-122-1-12000022-12222-1-1-1-122-100-2-2-2-20000-1-1-1-1-1-1-1-1-2-200000000111100001100
χ292222-1222-122-1-120000-2-2-1-2-2-2-2-1-1-1-122-10022220000111111-1-1-2-200000000-1-1-1-1000011002222-1222-122-1-120000-2-2-1-2-2-2-2-1-1-1-122-10022220000111111-1-1-2-200000000-1-1-1-100001100
χ302222-1222-122-1-120000-2-2-1-2-2-2-2-1-1-1-122-100-2-2-2-20000111111-1-1220000000011110000-1-1002222-1222-122-1-120000-2-2-1-2-2-2-2-1-1-1-122-100-2-2-2-20000111111-1-1220000000011110000-1-100
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χ1242-2-2222002-22-2-2-2−2i2i2i−2i0020000-22-2000000i2−i2−i2i2−2i2i2i−2i000000000000000000i2−i2−i2i2−222−20000-222-2-2-200-22-22222i−2i−2i2i00-200002-22000000−i2i2i2−i22i−2i−2i2i000000000000000000−i2i2i2−i22−2−220000
χ1254444-24-4-4-244-2-24000000-20000-2-2-22-4-420000000000000000220000000000000000000000-4-4-4-42-4442-4-422-400000020000222-244-20000000000000000-2-20000000000000000000000
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
χ13044-4-44-200-4-22-4424i−4i4i−4i00-20000-2220000000000−2i2i−2i2i000000000000000000000000000000-4-444-420042-24-4-2−4i4i−4i4i00200002-2-200000000002i−2i2i−2i000000000000000000000000000000
χ13144-4-44-200-4-22-442−4i4i−4i4i00-20000-22200000000002i−2i2i−2i000000000000000000000000000000-4-444-420042-24-4-24i−4i4i−4i00200002-2-20000000000−2i2i−2i2i000000000000000000000000000000
χ13244-4-4-240024-42-2-4000000-20000-22200000022−2222−220000000000000000000000−22−2200000000-4-4442-400-2-44-224000000200002-2-2000000−2222−222200000000000000000000002−22−200000000
χ13344-4-4-240024-42-2-4000000-20000-222000000−2222−222200000000000000000000002−22−200000000-4-4442-400-2-44-224000000200002-2-200000022−2222−220000000000000000000000−22−2200000000
χ1344-44-4-24-442-4-4-224000000-2000022-22-44-200000000000000002-20000000000000000000000-44-442-44-4-2442-2-400000020000-2-22-24-420000000000000000-220000000000000000000000
χ1354-44-4-2-24-4222-22-200004-41-2-222-1-11-2-2220000000000-2211-1-11-10000000000000000000000-44-4422-44-2-2-22-220000-44-122-2-211-122-2-200000000002-2-1-111-110000000000000000000000
χ1364-44-4-2-24-4222-22-20000-44122-2-2-1-11-2-22200000000002-2-1-1111-10000000000000000000000-44-4422-44-2-2-22-2200004-4-1-2-22211-122-2-20000000000-2211-1-1-110000000000000000000000
χ1374-44-4-2-2-44222-22-20000001−2i32i32i3−2i3-1-1122-2-2000000000000i3−i3−i3i3-110000000000000000000000-44-44224-4-2-2-22-22000000-12i3−2i3−2i32i311-1-2-222000000000000−i3i3i3−i31-10000000000000000000000
χ1384-44-4-2-2-44222-22-200000012i3−2i3−2i32i3-1-1122-2-2000000000000−i3i3i3−i3-110000000000000000000000-44-44224-4-2-2-22-22000000-1−2i32i32i3−2i311-1-2-222000000000000i3−i3−i3i31-10000000000000000000000
χ1394-4-444-20042-2-4-424i−4i−4i4i00-200002-220000000000−2i2i2i−2i000000000000000000000000000000-444-4-4200-4-2244-2−4i4i4i−4i0020000-22-200000000002i−2i−2i2i000000000000000000000000000000
χ1404-4-444-20042-2-4-42−4i4i4i−4i00-200002-2200000000002i−2i−2i2i000000000000000000000000000000-444-4-4200-4-2244-24i−4i−4i4i0020000-22-20000000000−2i2i2i−2i000000000000000000000000000000
χ1414-4-44-2400-2-4422-4000000-200002-22000000−2i22i22i2−2i20000000000000000000000i2−i2−i2i200000000-444-42-40024-4-2-2400000020000-22-20000002i2−2i2−2i22i20000000000000000000000−i2i2i2−i200000000
χ1424-4-44-2400-2-4422-4000000-200002-220000002i2−2i2−2i22i20000000000000000000000−i2i2i2−i200000000-444-42-40024-4-2-2400000020000-22-2000000−2i22i22i2−2i20000000000000000000000i2−i2−i2i200000000
χ14388-8-8-4-4004-444-44000000200002-2-200000000000000000000000000000000000000000000-8-8884400-44-4-44-4000000-20000-22200000000000000000000000000000000000000000000
χ1448-8-88-4-400-44-444400000020000-22-200000000000000000000000000000000000000000000-888-844004-44-4-4-4000000-200002-2200000000000000000000000000000000000000000000

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