Finite Group Databasebeta

← Group #11873311

Character table — Group #11873311

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222334444446666661212121236661212121212121212121212121212441212121212121212121212121212121212121212444444448888242424242424242488121212121212121224242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ9111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-11111-1-1-1-111-1-11-1-11-11
χ10111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-11-1-111-1-111-1-111-111-11-1
χ11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-111-1-111-1-111-1-1-111-11-1
χ12111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1-1-1-11111-1-1111-1-11-11
χ13111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-111111-1-1-1-1-1-1111-1-111-1
χ14111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111111-1-1-111-1-11111-1-1-111-1-11
χ15111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1111-1-111-1-1-1-111-111-1-11
χ16111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-1-1-1-1-1111111-1-11-1-111-1
χ1722222222-2-2-2-2222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-20000000000-2-2220000000000000000000000000000000000000000002-22-200
χ1822222222-2-2-2-2222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-20000000000-2-222000000000000000000000000000000000000000000-22-2200
χ19222222-2-222-2-222222222222222-2-222-2-22222-2-2-2-20000000000-2-2-2-200000000000000000000000000000000000000000022-2-200
χ20222222-2-222-2-222222222222222-2-222-2-22222-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000000000-2-22200
χ2122222-12222222-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000000022-1-10000-1-1-1-1-1-1000000
χ2222222-12222222-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-2110000111111000000
χ2322222-12222222-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-2-211-2-2-2-211-1-1-1-11111111100220022000000000000-2-2-1-10000-1-11111000000
χ2422222-12222222-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-2-211-2-2-2-211-1-1-1-11111111100-2-200-2-20000000000002211000011-1-1-1-1000000
χ2522222-1-2-2-2-2222-1-122-1-2-2-2-2-1-1-1-11111-2-2111122-1-12-2-1-122-2-211-1-111-1-1-1-11111002200-2-20000000000002-2-1-1000011-1-111000000
χ2622222-1-2-2-2-2222-1-122-1-2-2-2-2-1-1-1-11111-2-2111122-1-12-2-1-122-2-211-1-111-1-1-1-1111100-2-20022000000000000-22110000-1-111-1-1000000
χ2722222-1-2-2-2-2222-1-122-1-2-2-2-2-1-1-1-11111-2-2111122-1-1-2211-2-222-1-1-1-1111111-1-1-1-1002200-2-2000000000000-22-1-100001111-1-1000000
χ2822222-1-2-2-2-2222-1-122-1-2-2-2-2-1-1-1-11111-2-2111122-1-1-2211-2-222-1-1-1-1111111-1-1-1-100-2-200220000000000002-2110000-1-1-1-111000000
χ292222-12222222-122-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1220022002222-1-1-1-1-1-1-1-10000-1-1-1-1000000000000
χ302222-12222222-122-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-2-2-21111111100001111000000000000
χ312222-12222222-122-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-2-2-2-21111-2-2-1-1-1-11111111122002200-2-2-2-2111111110000-1-1-1-1000000000000
χ322222-12222222-122-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-2-2-2-21111-2-2-1-1-1-111111111-2-200-2-2002222-1-1-1-1-1-1-1-100001111000000000000
χ332222-12-2-2-2-222-122-1-121111-1-1-1-1-2-2-2-2111111-1-1222-222-1-111-2-2-1-111-1-1-1-111112200-2-20022-2-2-1-1-1-111110000-1-111000000000000
χ342222-12-2-2-2-222-122-1-121111-1-1-1-1-2-2-2-2111111-1-1222-222-1-111-2-2-1-111-1-1-1-11111-2-2002200-2-2221111-1-1-1-1000011-1-1000000000000
χ352222-12-2-2-2-222-122-1-121111-1-1-1-1-2-2-2-2111111-1-122-22-2-211-1-122-1-1111111-1-1-1-12200-2-200-2-2221111-1-1-1-10000-1-111000000000000
χ362222-12-2-2-2-222-122-1-121111-1-1-1-1-2-2-2-2111111-1-122-22-2-211-1-122-1-1111111-1-1-1-1-2-200220022-2-2-1-1-1-11111000011-1-1000000000000
χ372-2-22222i−2i2i−2i2-2-2-2-22-222i2i−2i−2i2-22-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-200000000002-22i−2i00000000002i−2i002-2000000000000002i−2i00002-20000000000
χ382-2-22222i−2i2i−2i2-2-2-2-22-222i2i−2i−2i2-22-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-200000000002-22i−2i0000000000−2i2i00-2200000000000000−2i2i0000-220000000000
χ392-2-22222i−2i−2i2i-22-2-2-22-22−2i−2i2i2i2-22-22i−2i−2i2i2i−2i−2i−2i2i2i-22-220000000000-222i−2i000000002i−2i002-20000000000000000002i−2i2-2000000000000
χ402-2-22222i−2i−2i2i-22-2-2-22-22−2i−2i2i2i2-22-22i−2i−2i2i2i−2i−2i−2i2i2i-22-220000000000-222i−2i00000000−2i2i00-22000000000000000000−2i2i-22000000000000
χ412-2-2222−2i2i2i−2i-22-2-2-22-222i2i−2i−2i2-22-2−2i2i2i−2i−2i2i2i2i−2i−2i-22-220000000000-22−2i2i000000002i−2i00-220000000000000000002i−2i-22000000000000
χ422-2-2222−2i2i2i−2i-22-2-2-22-222i2i−2i−2i2-22-2−2i2i2i−2i−2i2i2i2i−2i−2i-22-220000000000-22−2i2i00000000−2i2i002-2000000000000000000−2i2i2-2000000000000
χ432-2-2222−2i2i−2i2i2-2-2-2-22-22−2i−2i2i2i2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-200000000002-2−2i2i00000000002i−2i00-22000000000000002i−2i0000-220000000000
χ442-2-2222−2i2i−2i2i2-2-2-2-22-22−2i−2i2i2i2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-200000000002-2−2i2i0000000000−2i2i002-200000000000000−2i2i00002-20000000000
χ452-2-222-12i−2i2i−2i2-2-2112-2-12i2i−2i−2i-11-11−ii−ii2i−2i−i−iii2-2-11003−30000−i3i3-11−ii33−3−3−i3−i3i3i3002i−2i002-200000000000000−ii0000-11−i3i33−3000000
χ462-2-222-12i−2i2i−2i2-2-2112-2-12i2i−2i−2i-11-11−ii−ii2i−2i−i−iii2-2-11003−30000−i3i3-11−ii33−3−3−i3−i3i3i300−2i2i00-2200000000000000i−i00001-1i3−i3−33000000
χ472-2-222-12i−2i2i−2i2-2-2112-2-12i2i−2i−2i-11-11−ii−ii2i−2i−i−iii2-2-1100−330000i3−i3-11−ii−3−333i3i3−i3−i3002i−2i002-200000000000000−ii0000-11i3−i3−33000000
χ482-2-222-12i−2i2i−2i2-2-2112-2-12i2i−2i−2i-11-11−ii−ii2i−2i−i−iii2-2-1100−330000i3−i3-11−ii−3−333i3i3−i3−i300−2i2i00-2200000000000000i−i00001-1−i3i33−3000000
χ492-2-222-1−2i2i−2i2i2-2-2112-2-1−2i−2i2i2i-11-11i−ii−i−2i2iii−i−i2-2-11003−30000i3−i3-11i−i33−3−3i3i3−i3−i3002i−2i00-2200000000000000−ii00001-1−i3i3−33000000
χ502-2-222-1−2i2i−2i2i2-2-2112-2-1−2i−2i2i2i-11-11i−ii−i−2i2iii−i−i2-2-11003−30000i3−i3-11i−i33−3−3i3i3−i3−i300−2i2i002-200000000000000i−i0000-11i3−i33−3000000
χ512-2-222-1−2i2i−2i2i2-2-2112-2-1−2i−2i2i2i-11-11i−ii−i−2i2iii−i−i2-2-1100−330000−i3i3-11i−i−3−333−i3−i3i3i3002i−2i00-2200000000000000−ii00001-1i3−i33−3000000
χ522-2-222-1−2i2i−2i2i2-2-2112-2-1−2i−2i2i2i-11-11i−ii−i−2i2iii−i−i2-2-1100−330000−i3i3-11i−i−3−333−i3−i3i3i300−2i2i002-200000000000000i−i0000-11−i3i3−33000000
χ532-2-22-122i−2i−2i2i-221-2-2-112ii−i−i-11-112i−2i−2i2i−iiii−i−i1-1-2200003−3−i3i3001-1−ii3−33−3−i3i3−i3i32i−2i002-2000000−i3−i3i3i333−3−30000−ii-11000000000000
χ542-2-22-122i−2i−2i2i-221-2-2-112ii−i−i-11-112i−2i−2i2i−iiii−i−i1-1-2200003−3−i3i3001-1−ii3−33−3−i3i3−i3i3−2i2i00-22000000i3i3−i3−i3−3−3330000i−i1-1000000000000
χ552-2-22-122i−2i−2i2i-221-2-2-112ii−i−i-11-112i−2i−2i2i−iiii−i−i1-1-220000−33i3−i3001-1−ii−33−33i3−i3i3−i32i−2i002-2000000i3i3−i3−i3−3−3330000−ii-11000000000000
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χ582-2-22-12−2i2i2i−2i-221-2-2-112−i−iii-11-11−2i2i2i−2ii−i−i−iii1-1-2200003−3i3−i3001-1i−i3−33−3i3−i3i3−i3−2i2i002-2000000i3i3−i3−i333−3−30000i−i-11000000000000
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χ854-4-444-24i−4i−4i4i-44-4224-4-2−4i−4i4i4i-22-22−2i2i2i−2i4i−4i2i2i−2i−2i-442-200000000002-2−2i2i000000000000000000000000000000000000000000000000
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χ874-4-44-244i−4i4i−4i4-42-4-4-224−2i−2i2i2i-22-224i−4i4i−4i−2i2i−2i−2i2i2i-224-40000000000-22−2i2i000000000000000000000000000000000000000000000000
χ884-4-44-24−4i4i−4i4i4-42-4-4-2242i2i−2i−2i-22-22−4i4i−4i4i2i−2i2i2i−2i−2i-224-40000000000-222i−2i000000000000000000000000000000000000000000000000
χ894-4-44-2-24i−4i4i−4i4-4222-22-2−2i−2i2i2i1-11-1−2i2i−2i2i−2i2iii−i−i-22-220023−230000−2i32i31-1i−i−3−333i3i3−i3−i30000000000000000000000000000000000000000
χ904-4-44-2-24i−4i4i−4i4-4222-22-2−2i−2i2i2i1-11-1−2i2i−2i2i−2i2iii−i−i-22-2200−232300002i3−2i31-1i−i33−3−3−i3−i3i3i30000000000000000000000000000000000000000
χ914-4-44-2-24i−4i−4i4i-44222-22-22i2i−2i−2i1-11-1−2i2i2i−2i−2i2i−i−iii2-22-2000023−23−2i32i300-11i−i−33−33i3−i3i3−i30000000000000000000000000000000000000000
χ924-4-44-2-24i−4i−4i4i-44222-22-22i2i−2i−2i1-11-1−2i2i2i−2i−2i2i−i−iii2-22-20000−23232i3−2i300-11i−i3−33−3−i3i3−i3i30000000000000000000000000000000000000000
χ934-4-44-2-2−4i4i4i−4i-44222-22-2−2i−2i2i2i1-11-12i−2i−2i2i2i−2iii−i−i2-22-2000023−232i3−2i300-11−ii−33−33−i3i3−i3i30000000000000000000000000000000000000000
χ944-4-44-2-2−4i4i4i−4i-44222-22-2−2i−2i2i2i1-11-12i−2i−2i2i2i−2iii−i−i2-22-20000−2323−2i32i300-11−ii3−33−3i3−i3i3−i30000000000000000000000000000000000000000
χ954-4-44-2-2−4i4i−4i4i4-4222-22-22i2i−2i−2i1-11-12i−2i2i−2i2i−2i−i−iii-22-220023−2300002i3−2i31-1−ii−3−333−i3−i3i3i30000000000000000000000000000000000000000
χ964-4-44-2-2−4i4i−4i4i4-4222-22-22i2i−2i−2i1-11-12i−2i2i−2i2i−2i−i−iii-22-2200−23230000−2i32i31-1−ii33−3−3i3i3−i3−i30000000000000000000000000000000000000000
χ9788-8-88-4000000-8-44-8840000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-40000004-444-4443−4343−432-2-22000000−2323−2323000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-40000004-444-44−4343−43432-2-2200000023−2323−23000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-88-400000084-4-8-840000-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4000000-44-4444−4i34i34i3−4i322-2-20000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4000000-44-44444i3−4i3−4i34i322-2-2000000−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000

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