Finite Group Databasebeta

← Group #11819076

Character table — Group #11819076

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order1222222233444466666666666666344446666666121212121212121212121212121212124444121212121212121212121212121212121212121212121212444444444412121212121212121212121212121212121212124412121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-111-11
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111111111-1-1-1-11111-1-1-1-11-111-1-1-1-111-11
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-11-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-11
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1111-1
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1111-1
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-11
χ17222222222-122222222-1-12-1-12-1-1-12-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200222200-1-1-1-10000-1-1-1-1-1-1-1-10000000000000000
χ18222222222-122222222-1-12-1-12-1-1-12-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-20011110000111111110000000000000000
χ19222222222-122222222-1-12-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111112200-2-2-2-200-1-1-1-10000111111110000000000000000
χ20222222222-122222222-1-12-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-211111111-2-2-2-2-1-1-1-111111111-2-20022220011110000-1-1-1-1-1-1-1-10000000000000000
χ21222222222-1-2-2-2-22222-1-12-1-12-1-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-111112222-1-1-1-1-1-1-1-122-2-21111-1-1-1-11111-2-20022-2-20011110000-1-1-1-111110000000000000000
χ22222222222-1-2-2-2-22222-1-12-1-12-1-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-11111-2-2-2-21111111122-2-21111-1-1-1-111112200-2-22200-1-1-1-100001111-1-1-1-10000000000000000
χ23222222222-1-2-2-2-22222-1-12-1-12-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-1-2-200-2-22200111100001111-1-1-1-10000000000000000
χ24222222222-1-2-2-2-22222-1-12-1-12-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-1-2-2-2-211111111-2-22211111111-1-1-1-1220022-2-200-1-1-1-10000-1-1-1-111110000000000000000
χ2522222222-122222-1-1-1-122-122-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1222222222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000220000-1-1-1-100000000-1-1-1-122-1-1-1-1000000
χ2622222222-122222-1-1-1-122-122-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1222222222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-200001111000000001111-2-21111000000
χ2722222222-122222-1-1-1-122-122-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000001111-1-1-1-11111111100220000220000-1-1-1-100000000-1-1-1-1-2-21111000000
χ2822222222-122222-1-1-1-122-122-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000001111-1-1-1-11111111100-2-20000-2-20000111100000000111122-1-1-1-1000000
χ2922222222-12-2-2-2-2-1-1-1-122-122-1222-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-22222-2-2-2-2000000000000-1-1111111-1-1-1-1111100220000-2-20000-1-1-1-10000000011112-2-1-111000000
χ3022222222-12-2-2-2-2-1-1-1-122-122-1222-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-22222-2-2-2-2000000000000-1-1111111-1-1-1-1111100-2-20000220000111100000000-1-1-1-1-2211-1-1000000
χ3122222222-12-2-2-2-2-1-1-1-122-122-1222-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2222200000000000011-1-111111111-1-1-1-100220000-2-20000-1-1-1-1000000001111-2211-1-1000000
χ3222222222-12-2-2-2-2-1-1-1-122-122-1222-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2222200000000000011-1-111111111-1-1-1-100-2-20000220000111100000000-1-1-1-12-2-1-111000000
χ332222-2-2-2-222000022-2-222-2-2-222-2-2-220000222-2-2-2-2000000000000000022-2-22222-2-2-2-20000000000000000002-2000000000022-2-20000000000000000002-20000
χ342222-2-2-2-222000022-2-222-2-2-222-2-2-220000222-2-2-2-2000000000000000022-2-22222-2-2-2-2000000000000000000-220000000000-2-222000000000000000000-220000
χ352222-2-2-2-222000022-2-222-2-2-222-2-2-220000222-2-2-2-20000000000000000-2-222-2-2-2-222220000000000000000002-2000000000022-2-2000000000000000000-220000
χ362222-2-2-2-222000022-2-222-2-2-222-2-2-220000222-2-2-2-20000000000000000-2-222-2-2-2-22222000000000000000000-220000000000-2-2220000000000000000002-20000
χ3722-2-22-22-22200002-22-22-2-2-22-2-22-22200002-2-22-2-2200000000000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000002-2000000000000000022-2-2000000002i−2i00
χ3822-2-22-22-22200002-22-22-2-2-22-2-22-22200002-2-22-2-2200000000000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000-220000000000000000-2-22200000000−2i2i00
χ3922-2-22-22-22200002-22-22-2-2-22-2-22-22200002-2-22-2-220000000000000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-2000000000000000022-2-200000000−2i2i00
χ4022-2-22-22-22200002-22-22-2-2-22-2-22-22200002-2-22-2-220000000000000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000-220000000000000000-2-222000000002i−2i00
χ4122-2-2-22-222222-2-22-2-222-222-2-2-2-22-2200002-2-2-222-222-2-222-2-2000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i000022-2-2000000002i−2i000000002i2i−2i−2i0000000000000000000000000000
χ4222-2-2-22-222222-2-22-2-222-222-2-2-2-22-2200002-2-2-222-222-2-222-2-200000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i000022-2-200000000−2i2i00000000−2i−2i2i2i0000000000000000000000000000
χ4322-2-2-22-2222-2-2222-2-222-222-2-2-2-22-2200002-2-2-222-2-2-222-2-222000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i0000-2-22200000000−2i2i00000000−2i−2i2i2i0000000000000000000000000000
χ4422-2-2-22-2222-2-2222-2-222-222-2-2-2-22-2200002-2-2-222-2-2-222-2-22200000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i0000-2-222000000002i−2i000000002i2i−2i−2i0000000000000000000000000000
χ4522-2-2-22-222-122-2-22-2-22-112-11-211-1-2-10000-1111-1-1122-2-2-1-11133−3−333−3−32i−2i−2i2i−i−iiiii−i−i0000-1-11133−3−333−3−32i−2i00000000−i−iii0000−i3−i3i3i3−i3−i3i3i30000000000000000
χ4622-2-2-22-222-122-2-22-2-22-112-11-211-1-2-10000-1111-1-1122-2-2-1-11133−3−333−3−3−2i2i2i−2iii−i−i−i−iii0000-1-11133−3−333−3−3−2i2i00000000ii−i−i0000i3i3−i3−i3i3i3−i3−i30000000000000000
χ4722-2-2-22-222-122-2-22-2-22-112-11-211-1-2-10000-1111-1-1122-2-2-1-111−3−333−3−3332i−2i−2i2i−i−iiiii−i−i0000-1-111−3−333−3−3332i−2i00000000−i−iii0000i3i3−i3−i3i3i3−i3−i30000000000000000
χ4822-2-2-22-222-122-2-22-2-22-112-11-211-1-2-10000-1111-1-1122-2-2-1-111−3−333−3−333−2i2i2i−2iii−i−i−i−iii0000-1-111−3−333−3−333−2i2i00000000ii−i−i0000−i3−i3i3i3−i3−i3i3i30000000000000000
χ4922-2-2-22-222-1-2-2222-2-22-112-11-211-1-2-10000-1111-1-11-2-22211-1-133−3−3−3−3332i−2i−2i2i−i−iiiii−i−i000011-1-133−3−3−3−333−2i2i00000000ii−i−i0000−i3−i3i3i3i3i3−i3−i30000000000000000
χ5022-2-2-22-222-1-2-2222-2-22-112-11-211-1-2-10000-1111-1-11-2-22211-1-133−3−3−3−333−2i2i2i−2iii−i−i−i−iii000011-1-133−3−3−3−3332i−2i00000000−i−iii0000i3i3−i3−i3−i3−i3i3i30000000000000000
χ5122-2-2-22-222-1-2-2222-2-22-112-11-211-1-2-10000-1111-1-11-2-22211-1-1−3−33333−3−32i−2i−2i2i−i−iiiii−i−i000011-1-1−3−33333−3−3−2i2i00000000ii−i−i0000i3i3−i3−i3−i3−i3i3i30000000000000000
χ5222-2-2-22-222-1-2-2222-2-22-112-11-211-1-2-10000-1111-1-11-2-22211-1-1−3−33333−3−3−2i2i2i−2iii−i−i−i−iii000011-1-1−3−33333−3−32i−2i00000000−i−iii0000−i3−i3i3i3i3i3−i3−i30000000000000000
χ532-22-22-2-22222-22-2-222-2-2-222-2-222-2-220000-22-22-22-22-22-22-22-20000000000000000000000002-22-20000000000002i−2i2i−2i00000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ542-22-22-2-22222-22-2-222-2-2-222-2-222-2-220000-22-22-22-22-22-22-22-20000000000000000000000002-22-2000000000000−2i2i−2i2i0000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ552-22-22-2-2222-22-22-222-2-2-222-2-222-2-220000-22-22-22-2-22-22-22-22000000000000000000000000-22-220000000000002i−2i−2i2i00000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ562-22-22-2-2222-22-22-222-2-2-222-2-222-2-220000-22-22-22-2-22-22-22-22000000000000000000000000-22-22000000000000−2i2i2i−2i0000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ572-22-22-2-222-12-22-2-222-2112-11-2-1-11-2-100001-11-11-112-22-2-11-113−33−33−33−30000−i3i3−i3i3−i3i3−i3i30000-11-113−33−33−33−300002i−2i2i−2i00−i3i3−i3i30000−ii−ii−ii−ii0000000000000000
χ582-22-22-2-222-12-22-2-222-2112-11-2-1-11-2-100001-11-11-112-22-2-11-113−33−33−33−30000i3−i3i3−i3i3−i3i3−i30000-11-113−33−33−33−30000−2i2i−2i2i00i3−i3i3−i30000i−ii−ii−ii−i0000000000000000
χ592-22-22-2-222-12-22-2-222-2112-11-2-1-11-2-100001-11-11-112-22-2-11-11−33−33−33−330000−i3i3−i3i3−i3i3−i3i30000-11-11−33−33−33−330000−2i2i−2i2i00−i3i3−i3i30000i−ii−ii−ii−i0000000000000000
χ602-22-22-2-222-12-22-2-222-2112-11-2-1-11-2-100001-11-11-112-22-2-11-11−33−33−33−330000i3−i3i3−i3i3−i3i3−i30000-11-11−33−33−33−3300002i−2i2i−2i00i3−i3i3−i30000−ii−ii−ii−ii0000000000000000
χ612-22-22-2-222-1-22-22-222-2112-11-2-1-11-2-100001-11-11-11-22-221-11-13−33−3−33−330000−i3i3−i3i3−i3i3−i3i300001-11-13−33−3−33−3300002i−2i−2i2i00i3−i3i3−i30000−ii−iii−ii−i0000000000000000
χ622-22-22-2-222-1-22-22-222-2112-11-2-1-11-2-100001-11-11-11-22-221-11-13−33−3−33−330000i3−i3i3−i3i3−i3i3−i300001-11-13−33−3−33−330000−2i2i2i−2i00−i3i3−i3i30000i−ii−i−ii−ii0000000000000000
χ632-22-22-2-222-1-22-22-222-2112-11-2-1-11-2-100001-11-11-11-22-221-11-1−33−333−33−30000−i3i3−i3i3−i3i3−i3i300001-11-1−33−333−33−30000−2i2i2i−2i00i3−i3i3−i30000i−ii−i−ii−ii0000000000000000
χ642-22-22-2-222-1-22-22-222-2112-11-2-1-11-2-100001-11-11-11-22-221-11-1−33−333−33−30000i3−i3i3−i3i3−i3i3−i300001-11-1−33−333−33−300002i−2i−2i2i00−i3i3−i3i30000−ii−iii−ii−i0000000000000000
χ652-2-22-2-222222-2-22-2-2-2-2-222222-2-2-2222-22-2-2-22-2-2222-2-222-2-222-2-222-2-220000000000002-22-22-2-222-2-222-2-22000000000000000000000000000000000000000000
χ662-2-22-2-222222-2-22-2-2-2-2-222222-2-2-222-22-22-2-22-2-2222-2-222-2-22-222-2-222-2000000000000-22-222-2-22-222-2-222-2000000000000000000000000000000000000000000
χ672-2-22-2-22222-222-2-2-2-2-2-222222-2-2-2222-2-22-2-22-2-222-222-2-222-22-2-22-222-20000000000002-2-22-222-22-2-22-222-2000000000000000000000000000000000000000000
χ682-2-22-2-22222-222-2-2-2-2-2-222222-2-2-222-222-2-2-22-2-222-222-2-222-2-222-22-2-22000000000000-222-2-222-2-222-22-2-22000000000000000000000000000000000000000000
χ692-2-22-2-2222-12-2-22-2-2-2-21-12-1-121112-12-22-211-111-1-12-2-22-111-1-111-1-111-100003−3−33−333−32-22-2-111-1-111-1-111-100000000003−3−330000−333−3−333−30000000000000000
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χ712-2-22-2-2222-12-2-22-2-2-2-21-12-1-121112-1-22-2211-111-1-12-2-22-111-11-1-111-1-1100003−3−33−333−3-22-22-111-11-1-111-1-1100000000003−3−3300003−3−333−3−330000000000000000
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χ1084-44-44-4-44-2-2-44-442-2-2222-2-222-2-22210000-11-11-11-12-22-22-22-2−2323−232323−2323−230000000000000000-11-113−33−3−33−33000000000000000000000000000000000000000000
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χ1204-4-44-4-444-2-24-4-4422222-2-2-2-2-2222-21-44-44-1-11-1-111-222-2-222-22-2-222-2-220000000000002-22-21-1-11-111-1-111-1000000000000000000000000000000000000000000
χ1214-4-44-4-444-2-2-444-422222-2-2-2-2-2222-214-4-44-1-11-1-1112-2-222-2-22-222-22-2-22000000000000-222-2-111-11-1-11-111-1000000000000000000000000000000000000000000
χ1224-4-44-4-444-2-2-444-422222-2-2-2-2-2222-21-444-4-1-11-1-1112-2-222-2-222-2-22-222-20000000000002-2-22-111-1-111-11-1-11000000000000000000000000000000000000000000
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χ1268-8-8888-8-8-4-4000044-4-44-4444-44-4-4420000-2-2222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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