Finite Group Databasebeta

← Group #11789098

Character table — Group #11789098

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order1222222233444466666666666666366666661212121212121212444444121212121212121212121212121212121212121244444488881212121212121212242424242424242444121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ91-11-1-11-11111-11-1111-1-1-1-111-1-1-11-1111-1-1-11-1111-1-1-1-11ii−i−ii−iii−i−iii−i−i11-1-1iiii−i−i−i−ii−iii−i−i11-1-1ii−i−iii−i−i1111-1-1-1-11-111-1-1ii−i−i11-1-1ii−i−i
χ101-11-1-11-11111-11-1111-1-1-1-111-1-1-11-1111-1-1-11-1111-1-1-1-11ii−i−ii−iii−i−iii−i−i11-1-1iiii−i−i−i−ii−i−i−iii-1-111ii−i−iii−i−i-1-1-1-111111-111-1-1−i−iii-1-111−i−iii
χ111-11-1-11-11111-11-1111-1-1-1-111-1-1-11-1111-1-1-11-1111-1-1-1-11ii−i−i−ii−i−iii−i−iii11-1-1−i−i−i−iiiiii−iii−i−i-1-111ii−i−iii−i−i-1-1-1-11111-11-1-111ii−i−i11-1-1−i−iii
χ121-11-1-11-11111-11-1111-1-1-1-111-1-1-11-1111-1-1-11-1111-1-1-1-11ii−i−i−ii−i−iii−i−iii11-1-1−i−i−i−iiiiii−i−i−iii11-1-1ii−i−iii−i−i1111-1-1-1-1-11-1-111−i−iii-1-111ii−i−i
χ131-11-1-11-11111-11-1111-1-1-1-111-1-1-11-1111-1-1-11-1111-1-1-1-11−i−iiii−iii−i−iii−i−i11-1-1iiii−i−i−i−i−iiii−i−i11-1-1−i−iii−i−iii1111-1-1-1-1-11-1-111ii−i−i-1-111−i−iii
χ141-11-1-11-11111-11-1111-1-1-1-111-1-1-11-1111-1-1-11-1111-1-1-1-11−i−iiii−iii−i−iii−i−i11-1-1iiii−i−i−i−i−ii−i−iii-1-111−i−iii−i−iii-1-1-1-11111-11-1-111−i−iii11-1-1ii−i−i
χ151-11-1-11-11111-11-1111-1-1-1-111-1-1-11-1111-1-1-11-1111-1-1-1-11−i−iii−ii−i−iii−i−iii11-1-1−i−i−i−iiiii−iiii−i−i-1-111−i−iii−i−iii-1-1-1-111111-111-1-1ii−i−i-1-111ii−i−i
χ161-11-1-11-11111-11-1111-1-1-1-111-1-1-11-1111-1-1-11-1111-1-1-1-11−i−iii−ii−i−iii−i−iii11-1-1−i−i−i−iiiii−ii−i−iii11-1-1−i−iii−i−iii1111-1-1-1-11-111-1-1−i−iii11-1-1−i−iii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-222220000000000-2-2-2-200000000-2-200000000-2-2-2-2222200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000-2-2-2-20000000022000000002222-2-2-2-200000000000000000000000000
χ19222222222-1222222-122-1-12-12-1-1-12-1-1-1-1-1-1-1-12-1-122-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-10000000022-1-1-1-1000000000000
χ20222222222-1222222-122-1-12-12-1-1-12-1-1-1-1-1-1-1-12-1-122-1-122222-2-2-2-2-2-21111-1-1-1-1111111112200000000-1-1-1-1-1-1-1-100000000-2-21111000000000000
χ21222222222-1222222-122-1-12-12-1-1-12-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000001111111100000000-2-21111000000000000
χ22222222222-1222222-122-1-12-12-1-1-12-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-2-2-2-2-2-2-21111-1-1-1-111111111-2-200000000111111110000000022-1-1-1-1000000000000
χ23222222222-1-2-2-2-222-122-1-12-12-1-1-12-1-1-1-1-1-1-1-1-211-2-211-22222000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3-2-2000000001111-1-1-1-10000000000−i3i3−i3i3000000000000
χ24222222222-1-2-2-2-222-122-1-12-12-1-1-12-1-1-1-1-1-1-1-1-211-2-211-22222000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3-2-2000000001111-1-1-1-10000000000i3−i3i3−i3000000000000
χ25222222222-1-2-2-2-222-122-1-12-12-1-1-12-1-1-1-1-1-1-1-1-211-2-211-2-2-2-2-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i32200000000-1-1-1-111110000000000i3−i3i3−i3000000000000
χ26222222222-1-2-2-2-222-122-1-12-12-1-1-12-1-1-1-1-1-1-1-1-211-2-211-2-2-2-2-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i32200000000-1-1-1-111110000000000−i3i3−i3i3000000000000
χ2722222222-122222-1-12-1-122-12-1222-1-1-1-1-1-1-1-1-1-122-1-122-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-1000000-1-1-1-100000000
χ2822222222-122222-1-12-1-122-12-1222-1-1-1-1-1-1-1-1-1-122-1-122-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-20000000011111111000000111100000000
χ2922222222-122222-1-12-1-122-12-1222-1-1-1-1-1-1-1-1-1-122-1-122-10000-2-21111-2-2-2-2-1-1-1-111111111002222-2-2-2-20000000011111111000000-1-1-1-100000000
χ3022222222-122222-1-12-1-122-12-1222-1-1-1-1-1-1-1-1-1-122-1-122-10000-2-21111-2-2-2-2-1-1-1-11111111100-2-2-2-2222200000000-1-1-1-1-1-1-1-1000000111100000000
χ31222-2-2-22-22222-2-2-2-2-22-22222-2-2-2-222-2-222-22-222-22-22-2-2000000000000002-22-200000000002-22-2000000000000000000000000002-22-200000000
χ32222-2-2-22-22222-2-2-2-2-22-22222-2-2-2-222-2-222-22-222-22-22-2-2000000000000002-22-20000000000-22-2200000000000000000000000000-22-2200000000
χ33222-2-2-22-222-2-222-2-2-22-22222-2-2-2-222-2-222-22-2-2-22-22-22200000000000000-22-22000000000000000000000000000000000000000000002i−2i2i−2i0000
χ34222-2-2-22-222-2-222-2-2-22-22222-2-2-2-222-2-222-22-2-2-22-22-22200000000000000-22-2200000000000000000000000000000000000000000000−2i2i−2i2i0000
χ35222-2-2-22-2-1222-2-211-2-1122-121-2-2-2-1-111-1-11-11-12-2-112-210000003−33−30000-11-113−33−33−33−3002-22-200000000000033−3−333−3−3000000-11-1100000000
χ36222-2-2-22-2-1222-2-211-2-1122-121-2-2-2-1-111-1-11-11-12-2-112-210000003−33−30000-11-113−33−33−33−300-22-22000000000000−3−333−3−3330000001-11-100000000
χ37222-2-2-22-2-1222-2-211-2-1122-121-2-2-2-1-111-1-11-11-12-2-112-21000000−33−330000-11-11−33−33−33−33002-22-2000000000000−3−333−3−333000000-11-1100000000
χ38222-2-2-22-2-1222-2-211-2-1122-121-2-2-2-1-111-1-11-11-12-2-112-21000000−33−330000-11-11−33−33−33−3300-22-2200000000000033−3−333−3−30000001-11-100000000
χ3922-2-222-2-22200002-2-22-22-2-2-22-222-222-22-2-2-22000000002-22-20000000000000000000000000000−i2i2−i2i200002-22-2−i2i2−i2i2−i2i2−i2i200000000000000−i2i2−i2i2
χ4022-2-222-2-22200002-2-22-22-2-2-22-222-222-22-2-2-22000000002-22-20000000000000000000000000000i2−i2i2−i200002-22-2i2−i2i2−i2i2−i2i2−i200000000000000i2−i2i2−i2
χ4122-2-222-2-22200002-2-22-22-2-2-22-222-222-22-2-2-2200000000-22-220000000000000000000000000000−i2i2−i2i20000-22-22−i2i2−i2i2−i2i2−i2i200000000000000i2−i2i2−i2
χ4222-2-222-2-22200002-2-22-22-2-2-22-222-222-22-2-2-2200000000-22-220000000000000000000000000000i2−i2i2−i20000-22-22i2−i2i2−i2i2−i2i2−i200000000000000−i2i2−i2i2
χ432-2222-2-2-2222-2-22-2-2-2-22-2-222222-2-22-2-2-2-222222-2-22-22-2000000000000002-2-2200000000002i−2i−2i2i000000000000000000000000002i−2i−2i2i00000000
χ442-2222-2-2-2222-2-22-2-2-2-22-2-222222-2-22-2-2-2-222222-2-22-22-2000000000000002-2-220000000000−2i2i2i−2i00000000000000000000000000−2i2i2i−2i00000000
χ452-2222-2-2-222-222-2-2-2-2-22-2-222222-2-22-2-2-2-2222-2-222-22-2200000000000000-222-2000000000000000000000000000000000000000000002i−2i−2i2i0000
χ462-2222-2-2-222-222-2-2-2-2-22-2-222222-2-22-2-2-2-2222-2-222-22-2200000000000000-222-200000000000000000000000000000000000000000000−2i2i2i−2i0000
χ472-2222-2-2-2-122-2-2211-21-1-2-2-12-122-21-11111-1-1-1-12-21-1-221000000−i3i3i3−i30000-111-1−i3i3−i3i3i3−i3i3−i3002i−2i−2i2i000000000000−3−33333−3−3000000−iii−i00000000
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χ512-22-2-22-2222-22-22222-2-2-2-222-2-2-22-2222-2-2-22-2-2-2-22222-22i2i−2i−2i0000000000-2-22200000000−2i2i00000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ522-22-2-22-2222-22-22222-2-2-2-222-2-2-22-2222-2-2-22-2-2-2-22222-2−2i−2i2i2i0000000000-2-222000000002i−2i000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ532-22-2-22-222-12-22-222-1-2-2112-1-211-1-2-1-1-1111-112-1-1-2-21122i2i−2i−2i2i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii2i−2i00000000−i−iii−i−iii000000002-2-1-111000000000000
χ542-22-2-22-222-12-22-222-1-2-2112-1-211-1-2-1-1-1111-112-1-1-2-21122i2i−2i−2i−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i2i−2i00000000−i−iii−i−iii00000000-2211-1-1000000000000
χ552-22-2-22-222-12-22-222-1-2-2112-1-211-1-2-1-1-1111-112-1-1-2-2112−2i−2i2i2i2i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii−2i2i00000000ii−i−iii−i−i00000000-2211-1-1000000000000
χ562-22-2-22-222-12-22-222-1-2-2112-1-211-1-2-1-1-1111-112-1-1-2-2112−2i−2i2i2i−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i−2i2i00000000ii−i−iii−i−i000000002-2-1-111000000000000
χ572-22-2-22-222-1-22-2222-1-2-2112-1-211-1-2-1-1-1111-11-21122-1-1-22i2i−2i−2i0000003−3−3311-1-133−3−3−3−333−2i2i00000000ii−i−i−i−iii0000000000−i3i3i3−i3000000000000
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χ77444-4-4-44-4-2-244-4-4222-22-2-2-2-22222-21-1-111-11-1-2-22-22-22200000023−2323−2300001-11-1−33−33−33−3300000000000000000000000000000000000000000000
χ78444-4-4-44-4-2-244-4-4222-22-2-2-2-22222-21-1-111-11-1-2-22-22-222000000−2323−232300001-11-13−33−33−33−300000000000000000000000000000000000000000000
χ79444-4-4-44-4-2-2-4-444222-22-2-2-2-22222-21-1-111-11-122-22-22-2-200000000000000-11-113i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000000000
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χ8144-44-4-4-44440000-444444-4-4-4-44-4-4-44-444-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ8444-44-4-4-44-2400002-24-2-24-42-424-4-42-22-2-22-2220000000000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000
χ8544-44-4-4-44-2400002-24-2-24-42-424-4-42-22-2-22-2220000000000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000
χ8644-4-444-4-44-200004-424-4-22-4242-2-2-4-2-22-2222-2000000004-44-4000000000000000000000000000000000000-22-2200000000000000000000000000
χ8744-4-444-4-44-200004-424-4-22-4242-2-2-4-2-22-2222-200000000-44-440000000000000000000000000000000000002-22-200000000000000000000000000
χ8844-4-444-4-4-240000-22-4-224-42-4-2-4442-2-22-2222-20000000000000000000000000000000000000000−2i22i2−2i22i200000000i2−i2i2−i2i2−i2i2−i2000000000000000000
χ8944-4-444-4-4-240000-22-4-224-42-4-2-4442-2-22-2222-200000000000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i2−i2i2−i2i2000000000000000000
χ904-4444-4-4-44-24-4-44-4-42-44224-24-2-22-4-22222-2-2-24-22-442-2-400000000000000-222-20000000000000000000000000000000000000000000000000000
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χ944-4444-4-4-4-2-24-4-442222-222-2-2-2-2-2221-1-1-1-1111-2-222-22-220000002i3−2i3−2i32i300001-1-11−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000000000000
χ954-4444-4-4-4-2-2-444-42222-222-2-2-2-2-2221-1-1-1-111122-2-22-22-200000000000000-111-13-3-33-333-300000000000000000000000000000000000000000000
χ964-4444-4-4-4-2-2-444-42222-222-2-2-2-2-2221-1-1-1-111122-2-22-22-200000000000000-111-1-333-33-3-3300000000000000000000000000000000000000000000
χ974-44-4-44-44-24-44-44-2-2422-4-4-242-4-442-2-2-2222-222-4-4-2-24420000000000000022-2-20000000000000000000000000000000000000000000000000000
χ984-44-4-44-44-2-24-44-4-2-2-22222-2-2222-22111-1-1-11-1-2-2-22222-200004i−4i−2i−2i2i2i−2i−2i2i2i11-1-1iiii−i−i−i−i00000000000000000000000000000000000000000000
χ994-44-4-44-44-2-24-44-4-2-2-22222-2-2222-22111-1-1-11-1-2-2-22222-20000−4i4i2i2i−2i−2i2i2i−2i−2i11-1-1−i−i−i−iiiii00000000000000000000000000000000000000000000
χ1004-44-4-44-44-2-2-44-44-2-2-22222-2-2222-22111-1-1-11-1222-2-2-2-22000000000023−23−2323-1-111−3−33333−3−300000000000000000000000000000000000000000000
χ1014-44-4-44-44-2-2-44-44-2-2-22222-2-2222-22111-1-1-11-1222-2-2-2-220000000000−232323−23-1-11133−3−3−3−33300000000000000000000000000000000000000000000
χ1024-4-44-444-44-200004-42-442-2-42-4-22-24-2-222-2-222000000004i−4i−4i4i000000000000000000000000000000000000−2i2i2i−2i00000000000000000000000000
χ1034-4-44-444-44-200004-42-442-2-42-4-22-24-2-222-2-22200000000−4i4i4i−4i0000000000000000000000000000000000002i−2i−2i2i00000000000000000000000000
χ1044-4-44-444-4-240000-22-42-2-442-424-44-2-2-222-2-2220000000000000000000000000000000000000000−2i22i22i2−2i200000000i2−i2i2−i2−i2i2−i2i2000000000000000000
χ1054-4-44-444-4-240000-22-42-2-442-424-44-2-2-222-2-22200000000000000000000000000000000000000002i2−2i2−2i22i200000000−i2i2−i2i2i2−i2i2−i2000000000000000000
χ1064-4-4-44-444440000-444-4-4-44-4-44-44-444-44-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4-44-4444-20000-44-2-4-42-2-4242-224-22-22-222-20000000000000000000000000000000000000000000023−23−2323000000000000000000000000000000
χ1084-4-4-44-4444-20000-44-2-4-42-2-4242-224-22-22-222-200000000000000000000000000000000000000000000−232323−23000000000000000000000000000000
χ1094-4-4-44-444-2400002-2422-442-4-2-44-4-2-22-22-222-20000000000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ1104-4-4-44-444-2400002-2422-442-4-2-44-4-2-22-22-222-20000000000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ11188-88-8-8-88-4-400004-4-4-4-4-44444-44442-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-888-8-8-4-40000-444-44-4444-44-4-4422-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-888-8-4-40000-4444-44-4444-44-4-422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-88-888-4-400004-4-4444-444-44-44-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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