Finite Group Databasebeta

← Group #11865781

Character table — Group #11865781

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order122244442233446666661212121212121212366666661212121212121212246666666666121212121212121212122244444488888888242424242424242424242424242424244444661212121212124424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-11-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-11-11
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-11-11
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111-11-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-1-11
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-111-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-111-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111-1-11
χ1722222222222-122-1-1222-12222-1-1-1-1-122-1-1-1-1-12-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12200002222220000-1-1-1-1-1-1-1-1000000000000-1-10000-1-10000
χ1822222222222-122-1-1222-12222-1-1-1-1-122-1-1-1-1-12-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20000-2-2-2-2-2-2000011111111000000000000110000110000
χ1922222222222-122-1-1222-12222-1-1-1-1-122-1-1-1-1-12-1-1-1-1-12-1-2-2-2-211-1-11111-2-211-1-1111122000022-2-2-2-2000011111111000000000000-1-10000-1-10000
χ2022222222222-122-1-1222-12222-1-1-1-1-122-1-1-1-1-12-1-1-1-1-12-1-2-2-2-211-1-11111-2-211-1-11111-2-20000-2-222220000-1-1-1-1-1-1-1-1000000000000110000110000
χ212222222222-122222-1-1-12-1-1-1-12222-1-1-122-1-1-1-12-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1002222000000222200000000-1-1-1-1-1-1-1-1000000-1-1-1-1000000
χ222222222222-122222-1-1-12-1-1-1-12222-1-1-122-1-1-1-12-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-2-2-2000000-2-2-2-200000000111111110000001111000000
χ232222222222-122222-1-1-12-1-1-1-12222-1-1-122-1-1-1-12-1-1-1-1-12-2-211-2-2-1-1111111-2-2-1-11111002222000000-2-2-2-20000000011111111000000-1-1-1-1000000
χ242222222222-122222-1-1-12-1-1-1-12222-1-1-122-1-1-1-12-1-1-1-1-12-2-211-2-2-1-1111111-2-2-1-1111100-2-2-2-2000000222200000000-1-1-1-1-1-1-1-10000001111000000
χ2522222222-2-222-2-2222222222222222-2-2-2-2222-2-22222-2-2000000-2-200000000-2-2000000000000000000000000000000000000222200000000-2-200
χ2622222222-2-222-2-2222222222222222-2-2-2-2222-2-22222-2-2000000-2-200000000-2-2000000000000000000000000000000000000-2-2-2-2000000002200
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000002200000000-2-200000000000000000000000000000000000022-2-200000000-2200
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000002200000000-2-2000000000000000000000000000000000000-2-222000000002-200
χ292222-2-2-2-2-2-22-122-1-1222-1-2-2-2-21111-1-2-211-1-1-12-111112-12-222-1-111-1-1-1-1-2-211-1-11111220000-2-222-2-20000-1-1-1-11111000000000000-1-10000110000
χ302222-2-2-2-2-2-22-122-1-1222-1-2-2-2-21111-1-2-211-1-1-12-111112-12-222-1-111-1-1-1-1-2-211-1-11111-2-2000022-2-22200001111-1-1-1-1000000000000110000-1-10000
χ312222-2-2-2-2-2-22-122-1-1222-1-2-2-2-21111-1-2-211-1-1-12-111112-1-22-2-21111111122-1-1-1-1-1-1-1-1220000-2-2-2-22200001111-1-1-1-1000000000000-1-10000110000
χ322222-2-2-2-2-2-22-122-1-1222-1-2-2-2-21111-1-2-211-1-1-12-111112-1-22-2-21111111122-1-1-1-1-1-1-1-1-2-200002222-2-20000-1-1-1-11111000000000000110000-1-10000
χ332222-2-2-2-2-2-2-122222-1-1-121111-2-2-2-2-111-2-2-1-1-1-121111-122-2-1-12211-1-1-1-111-2-2-1-111110022-2-200000022-2-200000000-1-1-1-11111000000-1-111000000
χ342222-2-2-2-2-2-2-122222-1-1-121111-2-2-2-2-111-2-2-1-1-1-121111-122-2-1-12211-1-1-1-111-2-2-1-1111100-2-222000000-2-222000000001111-1-1-1-100000011-1-1000000
χ352222-2-2-2-2-2-2-122222-1-1-121111-2-2-2-2-111-2-2-1-1-1-121111-12-2211-2-2111111-1-122-1-1-1-1-1-10022-2-2000000-2-222000000001111-1-1-1-1000000-1-111000000
χ362222-2-2-2-2-2-2-122222-1-1-121111-2-2-2-2-111-2-2-1-1-1-121111-12-2211-2-2111111-1-122-1-1-1-1-1-100-2-22200000022-2-200000000-1-1-1-1111100000011-1-1000000
χ3722-2-22i2i−2i−2i0022002-2-22-2-22i2i−2i−2i2i2i−2i−2i200002-2-2002i2i−2i−2i000000000000000000000000000000002−2−i2i22−2−i2i222−2−2−i2−i2i2i222−2−2−i2−i2i2i22-22i−2i000000000000
χ3822-2-22i2i−2i−2i0022002-2-22-2-22i2i−2i−2i2i2i−2i−2i200002-2-2002i2i−2i−2i000000000000000000000000000000002−2−i2i2−22i2−i222−2−2−i2−i2i2i2−2−222i2i2−i2−i2-22−2i2i000000000000
χ3922-2-22i2i−2i−2i0022002-2-22-2-22i2i−2i−2i2i2i−2i−2i200002-2-2002i2i−2i−2i00000000000000000000000000000000−22i2−i22−2−i2i2−2−222i2i2−i2−i222−2−2−i2−i2i2i2-22−2i2i000000000000
χ4022-2-22i2i−2i−2i0022002-2-22-2-22i2i−2i−2i2i2i−2i−2i200002-2-2002i2i−2i−2i00000000000000000000000000000000−22i2−i2−22i2−i2−2−222i2i2−i2−i2−2−222i2i2−i2−i22-22i−2i000000000000
χ4122-2-2−2i−2i2i2i0022002-2-22-2-2−2i−2i2i2i−2i−2i2i2i200002-2-200−2i−2i2i2i000000000000000000000000000000002−2i2−i22−2i2−i222−2−2i2i2−i2−i222−2−2i2i2−i2−i22-2−2i2i000000000000
χ4222-2-2−2i−2i2i2i0022002-2-22-2-2−2i−2i2i2i−2i−2i2i2i200002-2-200−2i−2i2i2i000000000000000000000000000000002−2i2−i2−22−i2i222−2−2i2i2−i2−i2−2−222−i2−i2i2i2-222i−2i000000000000
χ4322-2-2−2i−2i2i2i0022002-2-22-2-2−2i−2i2i2i−2i−2i2i2i200002-2-200−2i−2i2i2i00000000000000000000000000000000−22−i2i22−2i2−i2−2−222−i2−i2i2i222−2−2i2i2−i2−i2-222i−2i000000000000
χ4422-2-2−2i−2i2i2i0022002-2-22-2-2−2i−2i2i2i−2i−2i2i2i200002-2-200−2i−2i2i2i00000000000000000000000000000000−22−i2i2−22−i2i2−2−222−i2−i2i2i2−2−222−i2−i2i2i22-2−2i2i000000000000
χ452-2-222-22-22-2222-2-2-22-2-222-22-22-22-222-22-2-2-22222-22-2-2-20000002-2000000002-20000002i−2i2i−2i000000000000000000000000000000002i−2i2i−2i000000
χ462-2-222-22-22-2222-2-2-22-2-222-22-22-22-222-22-2-2-22222-22-2-2-20000002-2000000002-2000000−2i2i−2i2i00000000000000000000000000000000−2i2i−2i2i000000
χ472-2-222-22-22-2-122-2-2-2-1112-11-112-22-2-1-112-211-1-12-11-111-200−i3i300-11−i3−i3i3i3−i3i300-11−i3−i3i3i3002i−2i2i−2i0000000000000000003−33−33−33−3000000−ii−ii000000
χ482-2-222-22-22-2-122-2-2-2-1112-11-112-22-2-1-112-211-1-12-11-111-200−i3i300-11−i3−i3i3i3−i3i300-11−i3−i3i3i300−2i2i−2i2i000000000000000000−33−33−33−33000000i−ii−i000000
χ492-2-222-22-22-2-122-2-2-2-1112-11-112-22-2-1-112-211-1-12-11-111-200i3−i300-11i3i3−i3−i3i3−i300-11i3i3−i3−i3002i−2i2i−2i000000000000000000−33−33−33−33000000−ii−ii000000
χ502-2-222-22-22-2-122-2-2-2-1112-11-112-22-2-1-112-211-1-12-11-111-200i3−i300-11i3i3−i3−i3i3−i300-11i3i3−i3−i300−2i2i−2i2i0000000000000000003−33−33−33−3000000i−ii−i000000
χ512-2-222-22-2-2222-22-2-22-2-222-22-22-22-22-22-22-2-22-2-22-22-222000000-2200000000-2200002-200002-200000000000000000000000000002-200002-20000
χ522-2-222-22-2-2222-22-2-22-2-222-22-22-22-22-22-22-2-22-2-22-22-222000000-2200000000-220000-220000-220000000000000000000000000000-220000-220000
χ532-2-222-22-2-222-1-22112-2-2-12-22-2-11-11-1-221-111-1-21-11-112-10000−i3i31-1−i3i3−i3i300−i3i31-1−i3i3−i3i32-200002-200000000−i3i3−i3i3−i3i3−i3i3000000000000-110000-110000
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χ552-2-222-22-2-222-1-22112-2-2-12-22-2-11-11-1-221-111-1-21-11-112-10000i3−i31-1i3−i3i3−i300i3−i31-1i3−i3i3−i32-200002-200000000i3−i3i3−i3i3−i3i3−i3000000000000-110000-110000
χ562-2-222-22-2-222-1-22112-2-2-12-22-2-11-11-1-221-111-1-21-11-112-10000i3−i31-1i3−i3i3−i300i3−i31-1i3−i3i3−i3-220000-2200000000−i3i3−i3i3−i3i3−i3i30000000000001-100001-10000
χ572-2-22-22-222-222-22-2-22-2-22-22-22-22-2222-22-2-2-22-2-2-22-22220000002-200000000-2200002-20000-2200000000000000000000000000002-20000-220000
χ582-2-22-22-222-222-22-2-22-2-22-22-22-22-2222-22-2-2-22-2-2-22-22220000002-200000000-220000-2200002-20000000000000000000000000000-2200002-20000
χ592-2-22-22-222-22-1-22112-2-2-1-22-221-11-1-12-2-1111-1-211-11-12-10000−i3i3-11−i3i3−i3i300i3−i31-1i3−i3i3−i32-20000-2200000000−i3i3−i3i3i3−i3i3−i3000000000000-1100001-10000
χ602-2-22-22-222-22-1-22112-2-2-1-22-221-11-1-12-2-1111-1-211-11-12-10000−i3i3-11−i3i3−i3i300i3−i31-1i3−i3i3−i3-2200002-200000000i3−i3i3−i3−i3i3−i3i30000000000001-10000-110000
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χ632-2-22-22-22-22222-2-2-22-2-22-22-22-22-222-22-22-2-2222-22-22-2-2000000-22000000002-20000002i−2i−2i2i000000000000000000000000000000002i−2i−2i2i000000
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χ7344444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21222211122111122000000-1-13-3-330000-1-13-3-33000000000000000000000000000000000000000000000000
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χ8844-4-4−4i−4i4i4i00-24004-42-22-42i2i−2i−2i−4i−4i4i4i-20000-222002i2i−2i−2i000000000000000000000000000000000000−2222−2i22i20000000022−2−2i2i2−i2−i20000000000000000
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χ904-44-44i−4i−4i4i004-2002-2-4-4424i−4i−4i4i−2i2i2i−2i-200002-2200−2i2i2i−2i0000000000000000000000000000000000000000i6−i6−i6i66−6−66000000000000000000000000
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χ934-44-44i−4i−4i4i00-2400-4422-2-4−2i2i2i−2i4i−4i−4i4i-200002-2200−2i2i2i−2i000000000000000000000000000000000000000000000000−666−6i6−i6−i6i60000000000000000
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χ994-4-444-44-44-44-24-4224-4-4-24-44-4-22-22-24-4-2222-24-2-22-22-42000000-2200000000-220000000000000000000000000000000000000000000000000000
χ1004-4-444-44-44-4-2-24-422-222-2-22-22-22-221-22-22-1-11-2-21-11-12200−2i32i3001-1i3i3−i3−i3−2i32i3001-1i3i3−i3−i3000000000000000000000000000000000000000000000000
χ1014-4-444-44-44-4-2-24-422-222-2-22-22-22-221-22-22-1-11-2-21-11-122002i3−2i3001-1−i3−i3i3i32i3−2i3001-1−i3−i3i3i3000000000000000000000000000000000000000000000000
χ1024-4-444-44-4-44-24-44-4-4-2224-22-224-44-4-22-2-4422-22-4-22-22-240000002-2000000002-20000000000000000000000000000000000000000000000000000
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χ1054-4-44-44-444-4-24-44-4-4-22242-22-2-44-44-2-224-422-22-42-22-2-24000000-22000000002-20000000000000000000000000000000000000000000000000000
χ1064-4-44-44-444-4-2-2-4422-222-22-22-22-22-21-22-22-1-1122-11-11-2-20000−2i32i31-1i3−i3i3−i3002i3−2i3-11−i3i3−i3i3000000000000000000000000000000000000000000000000
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χ1084-4-44-44-44-444-24-4224-4-4-2-44-442-22-2-2-442-222-24-22-22-2-420000002-200000000-220000000000000000000000000000000000000000000000000000
χ1094-4-44-44-44-44-2-24-422-222-22-22-22-22-212-22-2-1-11-2-2-11-112200−2i32i300-11i3i3−i3−i32i3−2i3001-1−i3−i3i3i3000000000000000000000000000000000000000000000000
χ1104-4-44-44-44-44-2-24-422-222-22-22-22-22-212-22-2-1-11-2-2-11-1122002i3−2i300-11−i3−i3i3i3−2i32i3001-1i3i3−i3−i3000000000000000000000000000000000000000000000000
χ11188-8-88i8i−8i−8i00-4-400-444-444−4i−4i4i4i−4i−4i4i4i200002-2-2002i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8−8i−8i8i8i00-4-400-444-4444i4i−4i−4i4i4i−4i−4i200002-2-200−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88i−8i−8i8i00-4-4004-444-44−4i4i4i−4i−4i4i4i−4i20000-22-2002i−2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8−8i8i8i−8i00-4-4004-444-444i−4i−4i4i4i−4i−4i4i20000-22-200−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000

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