Finite Group Databasebeta

← Group #11824517

Character table — Group #11824517

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order1222222233444466666666666666344446666666121212121212121212121212121212121212121212121212121212124444444412121212121212121212121212121212444444441212121212121212222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111-11-111-1-111-1-111-1-1-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111-1-11111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-11-11-1-111-1-11111-1-1-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-1-111-1-1
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111-1-111
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-111
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111111111-11-111-1-111-1-1-1-111-1-1
χ17222222222-12222222-1-1-12-122-1-12-1-12222-1-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ18222222222-12222222-1-1-12-122-1-12-1-12222-1-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-200001111000000
χ19222222222-12222222-1-1-12-122-1-12-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-211-2-211-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
χ20222222222-12222222-1-1-12-122-1-12-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-211-2-211-1-1-1-1111111110000-2-2-2-20000000011111111000000220000-1-1-1-1000000
χ21222222222-1-2-2-2-2222-1-1-12-122-1-12-1-122-2-2-1-1-1-1-1-1-1-2-2-2-2111122-1-1-2-2111111-1-1-1-11111000022-2-200000000-1-1-1-111110000002-20000-1-111000000
χ22222222222-1-2-2-2-2222-1-1-12-122-1-12-1-122-2-2-1-1-1-1-1-1-1-2-2-2-2111122-1-1-2-2111111-1-1-1-111110000-2-222000000001111-1-1-1-1000000-22000011-1-1000000
χ23222222222-1-2-2-2-2222-1-1-12-122-1-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-21122-1-111111111-1-1-1-1000022-2-200000000-1-1-1-11111000000-22000011-1-1000000
χ24222222222-1-2-2-2-2222-1-1-12-122-1-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-21122-1-111111111-1-1-1-10000-2-222000000001111-1-1-1-10000002-20000-1-111000000
χ2522222222-122222-1-1-1222-12-1-122-12-12222-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000000000
χ2622222222-122222-1-1-1222-12-1-122-12-12222-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20011110000000000
χ2722222222-122222-1-1-1222-12-1-122-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1222211-2-211-2-2-1-1-1-11111111122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
χ2822222222-122222-1-1-1222-12-1-122-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1222211-2-211-2-2-1-1-1-111111111-2-2-2-20000111111110000000000002200-1-1-1-10000000000
χ2922222222-12-2-2-2-2-1-1-1222-12-1-122-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-1-12211-2-21111-1-1-1-1111122-2-20000-1-1-1-111110000000000002-200-1-1110000000000
χ3022222222-12-2-2-2-2-1-1-1222-12-1-122-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-1-12211-2-21111-1-1-1-11111-2-22200001111-1-1-1-1000000000000-220011-1-10000000000
χ3122222222-12-2-2-2-2-1-1-1222-12-1-122-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-211-2-2-1-12211111111-1-1-1-122-2-20000-1-1-1-11111000000000000-220011-1-10000000000
χ3222222222-12-2-2-2-2-1-1-1222-12-1-122-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-211-2-2-1-12211111111-1-1-1-1-2-22200001111-1-1-1-10000000000002-200-1-1110000000000
χ332222-2-2-2-22222-2-222-222-222-2-2-2-2-2-22000022-2-2-22-222-2-222-2-20000000022-2-20000000000000000000000000000000000000000000000002-22-200
χ342222-2-2-2-22222-2-222-222-222-2-2-2-2-2-22000022-2-2-22-222-2-222-2-20000000022-2-2000000000000000000000000000000000000000000000000-22-2200
χ352222-2-2-2-222-2-22222-222-222-2-2-2-2-2-22000022-2-2-22-2-2-222-2-22200000000-2-2220000000000000000000000000000000000000000000000002-2-2200
χ362222-2-2-2-222-2-22222-222-222-2-2-2-2-2-22000022-2-2-22-2-2-222-2-22200000000-2-222000000000000000000000000000000000000000000000000-222-200
χ3722-2-22-2-222200002-2-22-2-2-2-22-22-222200002-22-2-2-220000000000000000000000000000002-2002-2000022-2-2000022-2-222-2-2000000000000000000
χ3822-2-22-2-222200002-2-22-2-2-2-22-22-222200002-22-2-2-220000000000000000000000000000002-200-22000022-2-20000-2-222-2-222000000000000000000
χ3922-2-22-2-222200002-2-22-2-2-2-22-22-222200002-22-2-2-22000000000000000000000000000000-22002-20000-2-222000022-2-2-2-222000000000000000000
χ4022-2-22-2-222200002-2-22-2-2-2-22-22-222200002-22-2-2-22000000000000000000000000000000-2200-220000-2-2220000-2-22222-2-2000000000000000000
χ412-22-2-22-22220000-22-2-22-2-2-2-22-222220000-22-22-2-2200000000000000000000000000002-2002-20022-2-2000022-2-200002-22-2000000000000000000
χ422-22-2-22-22220000-22-2-22-2-2-2-22-222220000-22-22-2-2200000000000000000000000000002-200-220022-2-20000-2-2220000-22-22000000000000000000
χ432-22-2-22-22220000-22-2-22-2-2-2-22-222220000-22-22-2-220000000000000000000000000000-22002-200-2-222000022-2-20000-22-22000000000000000000
χ442-22-2-22-22220000-22-2-22-2-2-2-22-222220000-22-22-2-220000000000000000000000000000-2200-2200-2-2220000-2-22200002-22-2000000000000000000
χ452-2-2222-2-2222-22-2-2-2-2-2-2-2222222-2-222i−2i2i−2i-2-222-22-22-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ462-2-2222-2-2222-22-2-2-2-2-2-2-2222222-2-22−2i2i−2i2i-2-222-22-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ472-2-2222-2-222-22-22-2-2-2-2-2-2222222-2-222i−2i−2i2i-2-222-22-2-22-22-22-222i−2i2i−2i−2i2i−2i2i-22-222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ482-2-2222-2-222-22-22-2-2-2-2-2-2222222-2-22−2i2i2i−2i-2-222-22-2-22-22-22-22−2i2i−2i2i2i−2i2i−2i-22-22−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ492-2-2222-2-22-12-22-2-2-2-21112-122-1-1-21-12i−2i2i−2i11-1-11-112-22-2-11-112i−2i−ii2i−2i−ii-11-11−i−iii−i−iii0000000000000000−i3i3−i3i3−i3i3−i3i30000000000003−33−3000000
χ502-2-2222-2-22-12-22-2-2-2-21112-122-1-1-21-12i−2i2i−2i11-1-11-112-22-2-11-112i−2i−ii2i−2i−ii-11-11−i−iii−i−iii0000000000000000i3−i3i3−i3i3−i3i3−i3000000000000−33−33000000
χ512-2-2222-2-22-12-22-2-2-2-21112-122-1-1-21-1−2i2i−2i2i11-1-11-112-22-2-11-11−2i2ii−i−2i2ii−i-11-11ii−i−iii−i−i0000000000000000−i3i3−i3i3−i3i3−i3i3000000000000−33−33000000
χ522-2-2222-2-22-12-22-2-2-2-21112-122-1-1-21-1−2i2i−2i2i11-1-11-112-22-2-11-11−2i2ii−i−2i2ii−i-11-11ii−i−iii−i−i0000000000000000i3−i3i3−i3i3−i3i3−i30000000000003−33−3000000
χ532-2-2222-2-22-1-22-22-2-2-21112-122-1-1-21-12i−2i−2i2i11-1-11-11-22-221-11-12i−2i−ii−2i2ii−i1-11-1−i−iiiii−i−i0000000000000000−i3i3−i3i3i3−i3i3−i30000000000003−3−33000000
χ542-2-2222-2-22-1-22-22-2-2-21112-122-1-1-21-12i−2i−2i2i11-1-11-11-22-221-11-12i−2i−ii−2i2ii−i1-11-1−i−iiiii−i−i0000000000000000i3−i3i3−i3−i3i3−i3i3000000000000−333−3000000
χ552-2-2222-2-22-1-22-22-2-2-21112-122-1-1-21-1−2i2i2i−2i11-1-11-11-22-221-11-1−2i2ii−i2i−2i−ii1-11-1ii−i−i−i−iii0000000000000000−i3i3−i3i3i3−i3i3−i3000000000000−333−3000000
χ562-2-2222-2-22-1-22-22-2-2-21112-122-1-1-21-1−2i2i2i−2i11-1-11-11-22-221-11-1−2i2ii−i2i−2i−ii1-11-1ii−i−i−i−iii0000000000000000i3−i3i3−i3−i3i3−i3i30000000000003−3−33000000
χ572-2-2222-2-2-122-22-2111-2-2-2-12-1-1221-2-12i−2i2i−2i11-1-11-11-11-112-22-2−ii2i−2i−ii2i−2i-11-11−i−iii−i−iii00000000−i3i3−i3i3−i3i3−i3i300000000000000003−33−30000000000
χ582-2-2222-2-2-122-22-2111-2-2-2-12-1-1221-2-12i−2i2i−2i11-1-11-11-11-112-22-2−ii2i−2i−ii2i−2i-11-11−i−iii−i−iii00000000i3−i3i3−i3i3−i3i3−i30000000000000000−33−330000000000
χ592-2-2222-2-2-122-22-2111-2-2-2-12-1-1221-2-1−2i2i−2i2i11-1-11-11-11-112-22-2i−i−2i2ii−i−2i2i-11-11ii−i−iii−i−i00000000−i3i3−i3i3−i3i3−i3i30000000000000000−33−330000000000
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χ612-2-2222-2-2-12-22-22111-2-2-2-12-1-1221-2-12i−2i−2i2i11-1-11-111-11-1-22-22−ii2i−2ii−i−2i2i1-11-1−i−iiiii−i−i00000000−i3i3−i3i3i3−i3i3−i300000000000000003−3−330000000000
χ622-2-2222-2-2-12-22-22111-2-2-2-12-1-1221-2-12i−2i−2i2i11-1-11-111-11-1-22-22−ii2i−2ii−i−2i2i1-11-1−i−iiiii−i−i00000000i3−i3i3−i3−i3i3−i3i30000000000000000−333−30000000000
χ632-2-2222-2-2-12-22-22111-2-2-2-12-1-1221-2-1−2i2i2i−2i11-1-11-111-11-1-22-22i−i−2i2i−ii2i−2i1-11-1ii−i−i−i−iii00000000−i3i3−i3i3i3−i3i3−i30000000000000000−333−30000000000
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χ8544-4-4-444-44400004-444-44-4-4-44-44-4-4400004-4-444-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ8644-4-4-444-44-200004-44-22-2-42-442-2-42-20000-222-2-22200000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000
χ8744-4-4-444-44-200004-44-22-2-42-442-2-42-20000-222-2-222000000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000
χ8844-4-4-444-4-240000-22-24-442-42-2-442-4-20000-222-2-222000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000000
χ8944-4-4-444-4-240000-22-24-442-42-2-442-4-20000-222-2-2220000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000
χ904-44-44-44-4440000-444-444-4-44-44-4-4-440000-444-44-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ914-44-44-44-44-20000-4442-2-2-424-4-22-42-200002-2-22-222000000000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000
χ924-44-44-44-44-20000-4442-2-2-424-4-22-42-200002-2-22-2220000000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000
χ934-44-44-44-4-2400002-2-2-4442-4-224-42-4-200002-2-22-2220000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ944-44-44-44-4-2400002-2-2-4442-4-224-42-4-200002-2-22-22200000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ954-44-4-44-444-20000-44-42-22-42-442-24-2-200002-22-222-2000000000000000000000000000000004-40000000000-2-22200000000000000000000000000
χ964-44-4-44-444-20000-44-42-22-42-442-24-2-200002-22-222-200000000000000000000000000000000-44000000000022-2-200000000000000000000000000
χ974-44-4-44-44-2400002-22-44-42-42-2-44-24-200002-22-222-200000000000000000000000000004-4000000-2-2220000000000000000000000000000000000
χ984-44-4-44-44-2400002-22-44-42-42-2-44-24-200002-22-222-20000000000000000000000000000-4400000022-2-20000000000000000000000000000000000
χ994-4-4444-4-4-2-24-44-4222222-2-2-2-2-2-22214i−4i4i−4i-1-111-11-1-22-22-22-22−2i2i−2i2i−2i2i−2i2i1-11-1ii−i−iii−i−i0000000000000000000000000000000000000000000000
χ1004-4-4444-4-4-2-24-44-4222222-2-2-2-2-2-2221−4i4i−4i4i-1-111-11-1-22-22-22-222i−2i2i−2i2i−2i2i−2i1-11-1−i−iii−i−iii0000000000000000000000000000000000000000000000
χ1014-4-4444-4-4-2-2-44-44222222-2-2-2-2-2-22214i−4i−4i4i-1-111-11-12-22-22-22-2−2i2i−2i2i2i−2i2i−2i-11-11ii−i−i−i−iii0000000000000000000000000000000000000000000000
χ1024-4-4444-4-4-2-2-44-44222222-2-2-2-2-2-2221−4i4i4i−4i-1-111-11-12-22-22-22-22i−2i2i−2i−2i2i−2i2i-11-11−i−iiiii−i−i0000000000000000000000000000000000000000000000
χ1034-4-44-4-4444-24-4-44-4-4422-24-2-4-4224-2-200002222-2-2-24-4-44-222-200000000-222-2000000000000000000000000000000000000000000000000000000
χ1044-4-44-4-4444-2-444-4-4-4422-24-2-4-4224-2-200002222-2-2-2-444-42-2-22000000002-2-22000000000000000000000000000000000000000000000000000000
χ1054-4-44-4-444-244-4-4422-2-4-44-2422-4-4-24-200002222-2-2-2-222-24-4-4400000000-222-2000000000000000000000000000000000000000000000000000000
χ1064-4-44-4-444-24-444-422-2-4-44-2422-4-4-24-200002222-2-2-22-2-22-444-4000000002-2-22000000000000000000000000000000000000000000000000000000
χ1074-4-44-4-444-2-24-4-4422-222-2-2-22222-2-210000-1-1-1-1111-222-2-222-2000000001-1-113-3-333-3-330000000000000000000000000000000000000000000000
χ1084-4-44-4-444-2-24-4-4422-222-2-2-22222-2-210000-1-1-1-1111-222-2-222-2000000001-1-11-333-3-333-30000000000000000000000000000000000000000000000
χ1094-4-44-4-444-2-2-444-422-222-2-2-22222-2-210000-1-1-1-11112-2-222-2-2200000000-111-13-3-33-333-30000000000000000000000000000000000000000000000
χ1104-4-44-4-444-2-2-444-422-222-2-2-22222-2-210000-1-1-1-11112-2-222-2-2200000000-111-1-333-33-3-330000000000000000000000000000000000000000000000
χ11188-8-88-8-88-4-40000-444-44444-44-44-4-4200002-22-2-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-888-8-4-40000-44-4-44-4444-44-444200002-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-88-8-4-400004-4-44-4-444-44-444420000-222-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-88-88-4-400004-444-44444-44-4-4-420000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000

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