Finite Group Databasebeta

← Group #11808852

Character table — Group #11808852

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order1222222233666666666666664444444434444446666666121212121212121212121212121212121212121212121212121212121212121212121212121244444444444444121212121212121212121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ17222222222-1222-1-12-12-1-12-1-1222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122002200002200-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-1222-1-12-12-1-12-1-1222222222-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111112200-2-20000-2-200-1-1-1-1111111110000000000000000
χ19222222222-1222-1-12-12-1-12-1-1222222222-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-11111-2-200-2-2000022001111-1-1-1-111110000000000000000
χ20222222222-1222-1-12-12-1-12-1-1222222222-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-1-2-200220000-2-20011111111-1-1-1-10000000000000000
χ21222222222-1222-1-12-12-1-12-1-12-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000-2-2001111111111110000000000000000
χ22222222222-1222-1-12-12-1-12-1-12-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-111111111-2-20022000022001111-1-1-1-1-1-1-1-10000000000000000
χ23222222222-1222-1-12-12-1-12-1-12-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-1111111111111-2-2-2-2221111-1-1-1-111112200220000-2-200-1-1-1-11111-1-1-1-10000000000000000
χ24222222222-1222-1-12-12-1-12-1-12-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-111111111-2-222-2-211111111-1-1-1-12200-2-200002200-1-1-1-1-1-1-1-111110000000000000000
χ2522222222-12-1-1-122-12-122-122-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220022220022000000000000-1-1-1-1-1-1-1-100000000
χ2622222222-12-1-1-122-12-122-122-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-200-2-20000000000001111111100000000
χ2722222222-12-1-1-122-12-122-122-100000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-111111111002200-2-2-2-20022000000000000-1-1-1-1111100000000
χ2822222222-12-1-1-122-12-122-122-100000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-11111111100-2-200222200-2-20000000000001111-1-1-1-100000000
χ2922222222-12-1-1-122-12-122-122-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000001111-1-11111-1-1-1-1111100220022-2-200-2-2000000000000-1-111-1-11100000000
χ3022222222-12-1-1-122-12-122-122-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000001111-1-11111-1-1-1-1111100-2-200-2-222002200000000000011-1-111-1-100000000
χ3122222222-12-1-1-122-12-122-122-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222220000000011-1-11111111111-1-1-1-1002200-2-22200-2-2000000000000-1-11111-1-100000000
χ3222222222-12-1-1-122-12-122-122-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222220000000011-1-11111111111-1-1-1-100-2-20022-2-2002200000000000011-1-1-1-11100000000
χ332222-2-2-2-22222-2-2-222-222-2-2-2-22222-2-2-2-222-2000022-2-22-2-222-2-2000000002222-2-2-2-22-2000022-2-2000000002-200000000000022-2-2000000000000000000000000
χ342222-2-2-2-22222-2-2-222-222-2-2-2-22222-2-2-2-22-22000022-2-22-2-2-2-222000000002222-2-2-2-2-220000-2-22200000000-22000000000000-2-222000000000000000000000000
χ352222-2-2-2-22222-2-2-222-222-2-2-2-2-2-2-2-2222222-2000022-2-22-2-222-2-200000000-2-2-2-222222-2000022-2-200000000-22000000000000-2-222000000000000000000000000
χ362222-2-2-2-22222-2-2-222-222-2-2-2-2-2-2-2-222222-22000022-2-22-2-2-2-22200000000-2-2-2-22222-220000-2-222000000002-200000000000022-2-2000000000000000000000000
χ372222-2-2-2-22-122-2112-1-2-1-1-211-22222-2-2-2-2-12-20000-1-111-111-1-11133−3−333−3−3-1-1-1-111112-20000-1-11133−3−333−3−32-2000000000000-1-11133−3−333−3−30000000000000000
χ382222-2-2-2-22-122-2112-1-2-1-1-211-22222-2-2-2-2-12-20000-1-111-111-1-111−3−333−3−333-1-1-1-111112-20000-1-111−3−333−3−3332-2000000000000-1-111−3−333−3−3330000000000000000
χ392222-2-2-2-22-122-2112-1-2-1-1-211-22222-2-2-2-2-1-220000-1-111-11111-1-133−3−3−3−333-1-1-1-11111-22000011-1-133−3−3−3−333-2200000000000011-1-133−3−3−3−3330000000000000000
χ402222-2-2-2-22-122-2112-1-2-1-1-211-22222-2-2-2-2-1-220000-1-111-11111-1-1−3−33333−3−3-1-1-1-11111-22000011-1-1−3−33333−3−3-2200000000000011-1-1−3−33333−3−30000000000000000
χ412222-2-2-2-22-122-2112-1-2-1-1-211-2-2-2-2-22222-12-20000-1-111-111-1-11133−3−333−3−31111-1-1-1-12-20000-1-11133−3−333−3−3-2200000000000011-1-1−3−333−3−3330000000000000000
χ422222-2-2-2-22-122-2112-1-2-1-1-211-2-2-2-2-22222-12-20000-1-111-111-1-111−3−333−3−3331111-1-1-1-12-20000-1-111−3−333−3−333-2200000000000011-1-133−3−333−3−30000000000000000
χ432222-2-2-2-22-122-2112-1-2-1-1-211-2-2-2-2-22222-1-220000-1-111-11111-1-133−3−3−3−3331111-1-1-1-1-22000011-1-133−3−3−3−3332-2000000000000-1-111−3−33333−3−30000000000000000
χ442222-2-2-2-22-122-2112-1-2-1-1-211-2-2-2-2-22222-1-220000-1-111-11111-1-1−3−33333−3−31111-1-1-1-1-22000011-1-1−3−33333−3−32-2000000000000-1-11133−3−3−3−3330000000000000000
χ4522-2-22-22-222-2-2-22-2222-2-2-22-222i2i−2i−2i2i2i−2i−2i2000000-2-22-222-20000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002-200000000000000000000002-20000002i−2i00
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χ5222-2-2-22-2222-2-22-2222-2-2-22-22-2−2i−2i2i2i2i2i−2i−2i2000000-2-2-222-22000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000−2i2i0000000000000000000000−2i2i0000002-2
χ532-22-222-2-2222-2222-2-222-2-2-2-2-22-22-22-22-220000002-222-2-2-20000000000002-22-22-22-2000000000000000000002-200000000000000000000002-20000002-2000000
χ542-22-222-2-2222-2222-2-222-2-2-2-2-22-22-22-22-220000002-222-2-2-20000000000002-22-22-22-200000000000000000000-220000000000000000000000-22000000-22000000
χ552-22-222-2-2222-2222-2-222-2-2-2-2-2-22-22-22-2220000002-222-2-2-2000000000000-22-22-22-22000000000000000000002-200000000000000000000002-2000000-22000000
χ562-22-222-2-2222-2222-2-222-2-2-2-2-2-22-22-22-2220000002-222-2-2-2000000000000-22-22-22-2200000000000000000000-220000000000000000000000-220000002-2000000
χ572-22-2-2-222222-2-2-2-2-2-2-22-222222-22-2-22-2220000002-2-2-2-2220000000000002-22-2-22-220000000000000000000000000000002-2000000000000002-20000002-20000
χ582-22-2-2-222222-2-2-2-2-2-2-22-222222-22-2-22-2220000002-2-2-2-2220000000000002-22-2-22-22000000000000000000000000000000-2200000000000000-22000000-220000
χ592-22-2-2-222222-2-2-2-2-2-2-22-22222-22-222-22-220000002-2-2-2-222000000000000-22-222-22-20000000000000000000000000000002-2000000000000002-2000000-220000
χ602-22-2-2-222222-2-2-2-2-2-2-22-22222-22-222-22-220000002-2-2-2-222000000000000-22-222-22-2000000000000000000000000000000-2200000000000000-220000002-20000
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χ652-2-222-2-222-1-22-2-11-2121-121-1-22i−2i−2i2i2i−2i−2i2i-1002i−2i001-1-1111-13−33−3−ii−ii−i3i3−i3i3−iii−i−iii−i00002i−2i3−33−3−ii−ii−i3i3−i3i300000000002-200−i3i3−i3i3-11-113−33−30000000000000000
χ662-2-222-2-222-1-22-2-11-2121-121-1-22i−2i−2i2i2i−2i−2i2i-1002i−2i001-1-1111-1−33−33−ii−iii3−i3i3−i3−iii−i−iii−i00002i−2i−33−33−ii−iii3−i3i3−i300000000002-200i3−i3i3−i3-11-11−33−330000000000000000
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χ682-2-222-2-222-1-22-2-11-2121-121-1-22i−2i−2i2i2i−2i−2i2i-100−2i2i001-1-1111-1−33−33i−ii−i−i3i3−i3i3−iii−i−iii−i0000−2i2i−33−33i−ii−i−i3i3−i3i30000000000-2200i3−i3i3−i31-11-13−33−30000000000000000
χ692-2-222-2-222-1-22-2-11-2121-121-1-2−2i2i2i−2i−2i2i2i−2i-1002i−2i001-1-1111-13−33−3−ii−ii−i3i3−i3i3i−i−iii−i−ii00002i−2i3−33−3−ii−ii−i3i3−i3i30000000000-2200i3−i3i3−i31-11-1−33−330000000000000000
χ702-2-222-2-222-1-22-2-11-2121-121-1-2−2i2i2i−2i−2i2i2i−2i-1002i−2i001-1-1111-1−33−33−ii−iii3−i3i3−i3i−i−iii−i−ii00002i−2i−33−33−ii−iii3−i3i3−i30000000000-2200−i3i3−i3i31-11-13−33−30000000000000000
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χ894444-4-4-4-4-24-2-22-4-4-242442-4-4200000000-24-40000-2-222-22244-4-40000000000000000-220000-2-22200000000000000000000000000000000000000000000000000
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χ1214-4-44-444-4-2-22-2-22-22222-22-22-20000000010000−4i4i-11-11-11-123−23−2323−2i32i32i3−2i32i−2i−2i2i00000000002i−2i00−333−3i3−i3−i3i3−iii−i000000000000000000000000000000000000000000
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χ1258-88-888-8-8-4-4-44-4-4-444-4-4444440000000020000002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-8-888-4-4-44444444-44-4-4-4-40000000020000002-2-2-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000

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