Finite Group Databasebeta

← Group #11808523

Character table — Group #11808523

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222244444444444444444444444444121212121212121212121212121212121212121212121212363636361111111122222222222222224444444444444444444444444412121212121212121212121212121212121212121212121236363636
order1222222233666666666666663446666666121212121212121212121212121212124444444412121212121212121212121212121212444422222222666666666666666664466666661212121212121212121212121212121244444444121212121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ61111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ81111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1
χ9222222222-122222-1-1-1-1-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000222222222-122222-1-1-1-1-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000
χ10222222222-122222-1-1-1-1-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000222222222-122222-1-1-1-1-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000
χ11222222222-122222-1-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-21111111122-2-20000-1-1-1-11111000000000000222222222-122222-1-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-21111111122-2-20000-1-1-1-11111000000000000
χ12222222222-122222-1-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111-2-22200001111-1-1-1-1000000000000222222222-122222-1-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111-2-22200001111-1-1-1-1000000000000
χ1322222222-12-1-1-1-1-122222-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000022222222-12-1-1-1-1-122222-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000
χ1422222222-12-1-1-1-1-122222-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000022222222-12-1-1-1-1-122222-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000
χ1522222222-12-1-1-1-1-122222-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111000022-2-2000000001111-1-1-1-1000022222222-12-1-1-1-1-122222-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111000022-2-2000000001111-1-1-1-10000
χ1622222222-12-1-1-1-1-122222-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-21111111111110000-2-22200000000-1-1-1-11111000022222222-12-1-1-1-1-122222-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-21111111111110000-2-22200000000-1-1-1-111110000
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χ202222-2-2-2-22-1222-2-2-1-1111-2-11-2-100-1-1-1111133−3−300003333−3−3−3−3-2200000011-1-1−3−3330000000000002222-2-2-2-22-1222-2-2-1-1111-2-11-2-100-1-1-1111133−3−300003333−3−3−3−3-2200000011-1-1−3−333000000000000
χ212222-2-2-2-22-1222-2-2-1-1111-2-11-2-100-1-1-11111−3−3330000−3−3−3−333332-2000000-1-111−3−3330000000000002222-2-2-2-22-1222-2-2-1-1111-2-11-2-100-1-1-11111−3−3330000−3−3−3−333332-2000000-1-111−3−333000000000000
χ222222-2-2-2-22-1222-2-2-1-1111-2-11-2-100-1-1-11111−3−3330000−3−3−3−33333-2200000011-1-133−3−30000000000002222-2-2-2-22-1222-2-2-1-1111-2-11-2-100-1-1-11111−3−3330000−3−3−3−33333-2200000011-1-133−3−3000000000000
χ2322-2-222-2-2222-2-22-22-2-2-22-2-2222002-2-22-2-2200000000000000000000000000000000000000002i−2i0022-2-222-2-2222-2-22-22-2-2-22-2-2222002-2-22-2-2200000000000000000000000000000000000000002i−2i00
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χ2622-2-2-2-222222-2-2-222-222-22-2-2-22002-2-2-222-200000000000000000000−2i2i00000000000000−2i−2i2i2i000022-2-2-2-222222-2-2-222-222-22-2-2-22002-2-2-222-200000000000000000000−2i2i00000000000000−2i−2i2i2i0000
χ2722-2-2-2-222-12-1111-12-222-2-1-2-21-100-1111-1-11000033−3−333−3−333−3−300002i−2i0000000000−i3−i3i3i3−i−iii000022-2-2-2-222-12-1111-12-222-2-1-2-21-100-1111-1-11000033−3−333−3−333−3−300002i−2i0000000000−i3−i3i3i3−i−iii0000
χ2822-2-2-2-222-12-1111-12-222-2-1-2-21-100-1111-1-11000033−3−333−3−333−3−30000−2i2i0000000000i3i3−i3−i3ii−i−i000022-2-2-2-222-12-1111-12-222-2-1-2-21-100-1111-1-11000033−3−333−3−333−3−30000−2i2i0000000000i3i3−i3−i3ii−i−i0000
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χ3022-2-2-2-222-12-1111-12-222-2-1-2-21-100-1111-1-110000−3−333−3−333−3−3330000−2i2i0000000000−i3−i3i3i3ii−i−i000022-2-2-2-222-12-1111-12-222-2-1-2-21-100-1111-1-110000−3−333−3−333−3−3330000−2i2i0000000000−i3−i3i3i3ii−i−i0000
χ312-22-22-2-2222-22-22-2-222-2-22-22-222i−2i-22-222-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000002-22-22-2-2222-22-22-2-222-2-22-22-222i−2i-22-222-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ322-22-22-2-2222-22-22-2-222-2-22-22-22−2i2i-22-222-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000002-22-22-2-2222-22-22-2-222-2-22-22-22−2i2i-22-222-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
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χ1182-22-22-2-22-121-11-11-222-2-2-1-221-1−2i2i1-11-1-111−2i2i−2i2ii−ii−ii−ii−ii−ii−i0000000000000000i3−i3i3−i33−33−30000-22-22-222-21-2-11-11-12-2-22212-2-112i−2i-11-111-1-12i−2i2i−2i−ii−ii−ii−ii−ii−ii0000000000000000−i3i3−i3i3−33−330000
χ1192-22-2-222-222-22-2-22-22-222-2-2-22200-22-2-2-2220000000000000000002i−2i000000002i−2i−2i2i000000000000-22-222-2-22-2-22-222-22-22-2-2222-2-2002-2222-2-2000000000000000000−2i2i00000000−2i2i2i−2i000000000000
χ1202-22-2-222-222-22-2-22-22-222-2-2-22200-22-2-2-222000000000000000000−2i2i00000000−2i2i2i−2i000000000000-22-222-2-22-2-22-222-22-22-2-2222-2-2002-2222-2-20000000000000000002i−2i000000002i−2i−2i2i000000000000
χ1212-22-2-222-22-1-22-2-221-11-1-1-2112-1001-1111-1-1−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3002i−2i0000−333−3−iii−i000000000000-22-222-2-22-212-222-2-11-1112-1-1-2100-11-1-1-111i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i300−2i2i00003−3−33i−i−ii000000000000
χ1222-22-2-222-22-1-22-2-221-11-1-1-2112-1001-1111-1-1−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i300−2i2i00003−3−33i−i−ii000000000000-22-222-2-22-212-222-2-11-1112-1-1-2100-11-1-1-111i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i3002i−2i0000−333−3−iii−i000000000000
χ1232-22-2-222-22-1-22-2-221-11-1-1-2112-1001-1111-1-1i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i3002i−2i00003−3−33−iii−i000000000000-22-222-2-22-212-222-2-11-1112-1-1-2100-11-1-1-111−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i300−2i2i0000−333−3i−i−ii000000000000
χ1242-22-2-222-22-1-22-2-221-11-1-1-2112-1001-1111-1-1i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i300−2i2i0000−333−3i−i−ii000000000000-22-222-2-22-212-222-2-11-1112-1-1-2100-11-1-1-111−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3002i−2i00003−3−33−iii−i000000000000
χ1252-2-222-22-222-2-2222-2-2-22-2-222-2200-2-222-22-20000000000000000000000000000000000000000002i−2i-222-2-22-22-2-222-2-2-2222-222-2-22-20022-2-22-22000000000000000000000000000000000000000000−2i2i
χ1262-2-222-22-222-2-2222-2-2-22-2-222-2200-2-222-22-2000000000000000000000000000000000000000000−2i2i-222-2-22-22-2-222-2-2-2222-222-2-22-20022-2-22-220000000000000000000000000000000000000000002i−2i
χ1272-2-22-22-2222-2-22-2-2-2-22-2222-22200-2-22-22-2200000000000000000000002-2000000002-2-2200000000-222-22-22-2-2-222-22222-22-2-2-22-2-20022-22-22-20000000000000000000000-2200000000-222-200000000
χ1282-2-22-22-2222-2-22-2-2-2-22-2222-22200-2-22-22-220000000000000000000000-2200000000-222-200000000-222-22-22-2-2-222-22222-22-2-2-22-2-20022-22-22-200000000000000000000002-2000000002-2-2200000000
χ1292-2-22-22-22-1211-111-2-22-22-12-2-1-10011-11-11-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30000002-200000000-111-1−i3i3i3−i30000-222-22-22-21-2-1-11-1-122-22-21-221100-1-11-11-110000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000000-22000000001-1-11i3−i3−i3i30000
χ1302-2-22-22-22-1211-111-2-22-22-12-2-1-10011-11-11-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000-22000000001-1-11i3−i3−i3i30000-222-22-22-21-2-1-11-1-122-22-21-221100-1-11-11-110000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30000002-200000000-111-1−i3i3i3−i30000
χ1312-2-22-22-22-1211-111-2-22-22-12-2-1-10011-11-11-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30000002-200000000-111-1i3−i3−i3i30000-222-22-22-21-2-1-11-1-122-22-21-221100-1-11-11-110000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000-22000000001-1-11−i3i3i3−i30000
χ1322-2-22-22-22-1211-111-2-22-22-12-2-1-10011-11-11-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000000-22000000001-1-11−i3i3i3−i30000-222-22-22-21-2-1-11-1-122-22-21-221100-1-11-11-110000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30000002-200000000-111-1i3−i3−i3i30000
χ13344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-2-2-2-2-2-2-2-2111111110000000000000000000000000000-4-4-4-4-4-4-4-42222222222222222-1-4-4-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ13444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000-4-4-4-4-4-4-4-42222222222222222-144-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ1354444-4-4-4-4-24-2-2-22244-4-4-424-42-200-2-2-2222200000000000000000000000000000000000000000000-4-4-4-444442-4222-2-2-4-4444-2-44-2200222-2-2-2-200000000000000000000000000000000000000000000
χ1364444-4-4-4-4-2-2-2-2-222-2-22222-222100111-1-1-1-12323−23−230000−3−3−3−333330000000000000000000000000000-4-4-4-4444422222-2-222-2-2-2-22-2-2-100-1-1-11111−23−23232300003333−3−3−3−30000000000000000000000000000
χ1374444-4-4-4-4-2-2-2-2-222-2-22222-222100111-1-1-1-1−23−23232300003333−3−3−3−30000000000000000000000000000-4-4-4-4444422222-2-222-2-2-2-22-2-2-100-1-1-111112323−23−230000−3−3−3−333330000000000000000000000000000
χ13844-4-444-4-44-24-4-44-4-2222-2-42-24-200-222-222-200000000000000000000000000000000000000000000-4-444-4-444-42-444-442-2-2-224-22-42002-2-22-2-2200000000000000000000000000000000000000000000
χ13944-4-444-4-4-24-222-224-4-4-442-44-2-200-222-222-200000000000000000000000000000000000000000000-4-444-4-4442-42-2-22-2-4444-4-24-422002-2-22-2-2200000000000000000000000000000000000000000000
χ14044-4-444-4-4-2-2-222-22-2222-222-2-21001-1-11-1-110000000033-3-3-3-3330000000000000000000000000000-4-444-4-444222-2-22-22-2-2-22-2-222-100-111-111-100000000-3-33333-3-30000000000000000000000000000
χ14144-4-444-4-4-2-2-222-22-2222-222-2-21001-1-11-1-1100000000-3-33333-3-30000000000000000000000000000-4-444-4-444222-2-22-22-2-2-22-2-222-100-111-111-10000000033-3-3-3-3330000000000000000000000000000
χ14244-4-4-4-4444-24-4-4-44-22-2-22422-4-200-2222-2-2200000000000000000000000000000000000000000000-4-44444-4-4-42-4444-42-222-2-4-2-242002-2-2-222-200000000000000000000000000000000000000000000
χ14344-4-4-4-444-2-2-2222-2-22-2-22-22221001-1-1-111-100002323−23−23−3−333−3−3330000000000000000000000000000-4-44444-4-4222-2-2-222-222-22-2-2-2-100-1111-1-110000−23−23232333−3−333−3−30000000000000000000000000000
χ14444-4-4-4-444-2-2-2222-2-22-2-22-22221001-1-1-111-10000−23−23232333−3−333−3−30000000000000000000000000000-4-44444-4-4222-2-2-222-222-22-2-2-2-100-1111-1-1100002323−23−23−3−333−3−3330000000000000000000000000000
χ1454-44-44-4-44-2-22-22-222-2-222-22-2214i−4i-11-111-1-1−2i2i−2i2i−2i2i−2i2ii−ii−ii−ii−i0000000000000000000000000000-44-44-444-422-22-22-2-222-2-22-22-2-1−4i4i1-11-1-1112i−2i2i−2i2i−2i2i−2i−ii−ii−ii−ii0000000000000000000000000000
χ1464-44-44-4-44-2-22-22-222-2-222-22-221−4i4i-11-111-1-12i−2i2i−2i2i−2i2i−2i−ii−ii−ii−ii0000000000000000000000000000-44-44-444-422-22-22-2-222-2-22-22-2-14i−4i1-11-1-111−2i2i−2i2i−2i2i−2i2ii−ii−ii−ii−i0000000000000000000000000000
χ1474-44-4-444-4-242-222-2-44-4442-4-4-2-2002-2222-2-200000000000000000000000000000000000000000000-44-444-4-442-4-22-2-224-44-4-4-2442200-22-2-2-22200000000000000000000000000000000000000000000
χ1484-44-4-444-4-2-22-222-22-22-2-2222-2100-11-1-1-111−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i30000000000000000000000000000-44-444-4-4422-22-2-22-22-222-2-2-22-1001-1111-1-12i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i30000000000000000000000000000
χ1494-44-4-444-4-2-22-222-22-22-2-2222-2100-11-1-1-1112i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i30000000000000000000000000000-44-444-4-4422-22-2-22-22-222-2-2-22-1001-1111-1-1−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i30000000000000000000000000000
χ1504-4-444-44-44-2-4-4444222-22-4-2-2-4-20022-2-22-2200000000000000000000000000000000000000000000-444-4-44-44-4244-4-4-4-2-2-22-24224200-2-222-22-200000000000000000000000000000000000000000000
χ1514-4-444-44-4-2422-2-2-2-4-4-44-42442-20022-2-22-2200000000000000000000000000000000000000000000-444-4-44-442-4-2-2222444-44-2-4-4-2200-2-222-22-200000000000000000000000000000000000000000000
χ1524-4-444-44-4-2-222-2-2-2222-222-2-22100-1-111-11-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000-444-4-44-4422-2-2222-2-2-22-2-222-2-10011-1-11-1100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000
χ1534-4-444-44-4-2-222-2-2-2222-222-2-22100-1-111-11-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000-444-4-44-4422-2-2222-2-2-22-2-222-2-10011-1-11-11000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000
χ1544-4-44-44-444-2-4-44-4-422-22-24-224-20022-22-22-200000000000000000000000000000000000000000000-444-44-44-4-4244-444-2-22-22-42-2-4200-2-22-22-2200000000000000000000000000000000000000000000
χ1554-4-44-44-44-2-222-22222-22-2-2-22-2100-1-11-11-110000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i30000000000000000000000000000-444-44-44-422-2-22-2-2-2-22-2222-22-10011-11-11-100002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i30000000000000000000000000000
χ1564-4-44-44-44-2-222-22222-22-2-2-22-2100-1-11-11-1100002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i30000000000000000000000000000-444-44-44-422-2-22-2-2-2-22-2222-22-10011-11-11-10000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i30000000000000000000000000000

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