Finite Group Databasebeta

← Group #11788137

Character table — Group #11788137

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order122222223344446666666666666636666666121212121212121244121212121212121212121212121212121212121222446666888812121212242424242424242444441212121212121212888822
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ911-1-1-111-11111-1-11-1-1-111-1-11-1-111-1111-1-1-11-111-111-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1-11-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−i1-1ii−i−i11-1-1ii−i−i1-1
χ1011-1-1-111-11111-1-11-1-1-111-1-11-1-111-1111-1-1-11-111-111-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1-11-111-1-1−i−iii11-1-1−i−i−i−iiiiii−i-11ii−i−i-1-111−i−iii-11
χ1111-1-1-111-11111-1-11-1-1-111-1-11-1-111-1111-1-1-11-111-111-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-11-11-1-111ii−i−i-1-111iiii−i−i−i−i−ii1-1−i−iii11-1-1−i−iii-11
χ1211-1-1-111-11111-1-11-1-1-111-1-11-1-111-1111-1-1-11-111-111-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-11-11-1-111−i−iii-1-111−i−i−i−iiiii−ii-11−i−iii-1-111ii−i−i1-1
χ1311-1-1-111-11111-1-11-1-1-111-1-11-1-111-1111-1-1-11-111-111-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1-11-111-1-1ii−i−i11-1-1iiii−i−i−i−i−ii-11−i−iii-1-111ii−i−i-11
χ1411-1-1-111-11111-1-11-1-1-111-1-11-1-111-1111-1-1-11-111-111-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1-11-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii1-1−i−iii11-1-1−i−iii1-1
χ1511-1-1-111-11111-1-11-1-1-111-1-11-1-111-1111-1-1-11-111-111-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-11-11-1-111ii−i−i-1-111iiii−i−i−i−ii−i-11ii−i−i-1-111−i−iii1-1
χ1611-1-1-111-11111-1-11-1-1-111-1-11-1-111-1111-1-1-11-111-111-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-11-11-1-111−i−iii-1-111−i−i−i−iiiiii−i1-1ii−i−i11-1-1ii−i−i-11
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000022-2-222220000-2-2-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-2-222-2-2-2-20000222200000000000000000000000000
χ19222222222-122222222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-1-1-1-1000000002200-1-1-1-10000000000
χ20222222222-122222222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000111100000000-2-20011110000000000
χ21222222222-122222222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-211-2-211-1-1-1-1111111112222-1-1-1-10000-1-1-1-100000000-2-20011110000000000
χ22222222222-122222222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-211-2-211-1-1-1-111111111-2-2-2-2111100001111000000002200-1-1-1-10000000000
χ23222222222-1-2-2-2-22222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i322-2-2-1-1-1-100001111000000000000−i3i3−i3i30000000000
χ24222222222-1-2-2-2-22222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-2-22211110000-1-1-1-1000000000000i3−i3i3−i30000000000
χ25222222222-1-2-2-2-22222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i322-2-2-1-1-1-100001111000000000000i3−i3i3−i30000000000
χ26222222222-1-2-2-2-22222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-2-22211110000-1-1-1-1000000000000−i3i3−i3i30000000000
χ2722222222-122222-1-1-1-12222-1-122-12-1-1-1-1-1-1-1-1-1-1-12222-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ2822222222-122222-1-1-1-12222-1-122-12-1-1-1-1-1-1-1-1-1-1-12222-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200001111111100-2-200001111000000
χ2922222222-122222-1-1-1-12222-1-122-12-1-1-1-1-1-1-1-1-1-1-12222-1-2-211-2-211-2-2-1-1-1-1111111110000000022220000-1-1-1-1-1-1-1-100-2-200001111000000
χ3022222222-122222-1-1-1-12222-1-122-12-1-1-1-1-1-1-1-1-1-1-12222-1-2-211-2-211-2-2-1-1-1-11111111100000000-2-2-2-200001111111100220000-1-1-1-1000000
χ3122-2-2-222-222-2-2222-2-2-222-2-22-2-222-2222-2-2-22-2-2-22-2-22220000000000-2-222000000002-2-2222-2-20000-2-22200000000000000000000000000
χ3222-2-2-222-222-2-2222-2-2-222-2-22-2-222-2222-2-2-22-2-2-22-2-22220000000000-2-22200000000-222-2-2-222000022-2-200000000000000000000000000
χ3322-2-2-222-22-122-2-22-2-2-2-1-1112-21-121-1-1-1111-1122-2-1-111-22i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii2-22-2-1-1110000-1-111000000002i−2i00−i−iii0000000000
χ3422-2-2-222-22-122-2-22-2-2-2-1-1112-21-121-1-1-1111-1122-2-1-111-22i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii-22-2211-1-1000011-1-100000000−2i2i00ii−i−i0000000000
χ3522-2-2-222-22-122-2-22-2-2-2-1-1112-21-121-1-1-1111-1122-2-1-111-2−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i2-22-2-1-1110000-1-11100000000−2i2i00ii−i−i0000000000
χ3622-2-2-222-22-122-2-22-2-2-2-1-1112-21-121-1-1-1111-1122-2-1-111-2−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i-22-2211-1-1000011-1-1000000002i−2i00−i−iii0000000000
χ3722-2-2-222-22-1-2-2222-2-2-2-1-1112-21-121-1-1-1111-11-2-2211-1-1200003−300−3311-1-133−3−3−3−3332-2-22-1-111000011-1-10000000000003−3−330000000000
χ3822-2-2-222-22-1-2-2222-2-2-2-1-1112-21-121-1-1-1111-11-2-2211-1-1200003−300−3311-1-133−3−3−3−333-222-211-1-10000-1-111000000000000−333−30000000000
χ3922-2-2-222-22-1-2-2222-2-2-2-1-1112-21-121-1-1-1111-11-2-2211-1-120000−33003−311-1-1−3−33333−3−32-2-22-1-111000011-1-1000000000000−333−30000000000
χ4022-2-2-222-22-1-2-2222-2-2-2-1-1112-21-121-1-1-1111-11-2-2211-1-120000−33003−311-1-1−3−33333−3−3-222-211-1-10000-1-1110000000000003−3−330000000000
χ4122-2-2-222-2-1222-2-2-111122-2-2-11-22-1-2-1-1-1111-11-1-1122-2-212i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii000000002i2i−2i−2i0000−i−i−i−iiiii002-20000-1-111000000
χ4222-2-2-222-2-1222-2-2-111122-2-2-11-22-1-2-1-1-1111-11-1-1122-2-212i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii00000000−2i−2i2i2i0000iiii−i−i−i−i00-22000011-1-1000000
χ4322-2-2-222-2-1222-2-2-111122-2-2-11-22-1-2-1-1-1111-11-1-1122-2-21−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i000000002i2i−2i−2i0000−i−i−i−iiiii00-22000011-1-1000000
χ4422-2-2-222-2-1222-2-2-111122-2-2-11-22-1-2-1-1-1111-11-1-1122-2-21−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i00000000−2i−2i2i2i0000iiii−i−i−i−i002-20000-1-111000000
χ452-22-222-2-2222-22-2-22-2-2-2-22-22222-2-22-2-22-2-2222-222-22-2-200000000002-22-200000000000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i000000000000000000
χ462-22-222-2-2222-22-2-22-2-2-2-22-22222-2-22-2-22-2-2222-222-22-2-200000000002-22-20000000000000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ472-22-222-2-222-22-22-22-2-2-2-22-22222-2-22-2-22-2-222-22-2-22-2220000000000-22-22000000000000000000000000000000000000000000002-22-200
χ482-22-222-2-222-22-22-22-2-2-2-22-22222-2-22-2-22-2-222-22-2-22-2220000000000-22-2200000000000000000000000000000000000000000000-22-2200
χ492-22-222-2-2-122-22-21-111-2-22-2-1-1221-2-111-111-1-1-11-12-22-2100−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i3000000002i−2i2i−2i0000−i−iii−i−iii000000003−33−3000000
χ502-22-222-2-2-122-22-21-111-2-22-2-1-1221-2-111-111-1-1-11-12-22-2100−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i300000000−2i2i−2i2i0000ii−i−iii−i−i00000000−33−33000000
χ512-22-222-2-2-122-22-21-111-2-22-2-1-1221-2-111-111-1-1-11-12-22-2100i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i3000000002i−2i2i−2i0000−i−iii−i−iii00000000−33−33000000
χ522-22-222-2-2-122-22-21-111-2-22-2-1-1221-2-111-111-1-1-11-12-22-2100i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i300000000−2i2i−2i2i0000ii−i−iii−i−i000000003−33−3000000
χ532-2-22-22-22222-2-22-2-222-2-2-222-2-22-222-2-2-2222-22-2-22-2-22200000000002-2-2200000000000000002-2-22000022-2-2-2-222000000000000000000
χ542-2-22-22-22222-2-22-2-222-2-2-222-2-22-222-2-2-2222-22-2-22-2-22200000000002-2-220000000000000000-222-20000-2-22222-2-2000000000000000000
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χ572-2-22-22-22-122-2-2211-1-1-2-2-22-11-2212-1111-1-1-11-1112-2-22-1003−300−3300-111-13−33−3−33−33000000002-2-220000-1-11111-1-100000000−333−3000000
χ582-2-22-22-22-122-2-2211-1-1-2-2-22-11-2212-1111-1-1-11-1112-2-22-1003−300−3300-111-13−33−3−33−3300000000-222-2000011-1-1-1-111000000003−3−33000000
χ592-2-22-22-22-122-2-2211-1-1-2-2-22-11-2212-1111-1-1-11-1112-2-22-100−33003−300-111-1−33−333−33−3000000002-2-220000-1-11111-1-1000000003−3−33000000
χ602-2-22-22-22-122-2-2211-1-1-2-2-22-11-2212-1111-1-1-11-1112-2-22-100−33003−300-111-1−33−333−33−300000000-222-2000011-1-1-1-11100000000−333−3000000
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χ6344444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
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χ8044-4-4-444-4-2-2-4-444-2222-2-222-222-2-22111-1-1-11-122-222-2-2-20000−23230023−23-1-11133−3−3−3−333000000000000000000000000000000000000000000
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χ854-44-444-4-4-2-24-44-42-22222-22-2-2-2-2221-1-11-1-111-22-2-22-222002i3−2i3002i3−2i3001-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ864-44-444-4-4-2-2-44-442-22222-22-2-2-2-2221-1-11-1-1112-222-22-2-20000000000-11-113-3-333-3-33000000000000000000000000000000000000000000
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χ894-44-4-4-4444-20000-44-442-2-22-4-4224-2-22-2-22-22200000000000000000000000000000000000000000023−2323−2300000000000000000000000000
χ904-44-4-4-4444-20000-44-442-2-22-4-4224-2-22-2-22-222000000000000000000000000000000000000000000−2323−232300000000000000000000000000
χ914-44-4-4-444-2400002-22-2-444-422-4-4-24-22-2-22-22200000000000000000000000000000000000000000000006−6−666−6−66000000000000000000
χ924-44-4-4-444-2400002-22-2-444-422-4-4-24-22-2-22-2220000000000000000000000000000000000000000000000−666−6−666−6000000000000000000
χ934-4-444-44-4440000-4-44-4-44-44-444-44-44-44-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ944-4-444-44-44-20000-4-44-42-22-2-44-2242-22-22-222-200000000000000000000000000000000000000000023−23−232300000000000000000000000000
χ954-4-444-44-44-20000-4-44-42-22-2-44-2242-22-22-222-2000000000000000000000000000000000000000000−232323−2300000000000000000000000000
χ964-4-444-44-4-24000022-22-44-442-24-4-2-4-22-22-222-20000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ974-4-444-44-4-24000022-22-44-442-24-4-2-4-22-22-222-20000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ984-4-44-44-444-24-4-44-4-444222-24-42-2-4-2-2222-2-2-224-4-4-222-240000000000-222-200000000000000000000000000000000000000000000000000
χ994-4-44-44-444-2-444-4-4-444222-24-42-2-4-2-2222-2-2-22-4442-2-22-400000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-44-44-44-24-444-422-2-2-4-4-44-22-4424-2222-2-2-222-2-2-444-4200000000002-2-2200000000000000000000000000000000000000000000000000
χ1014-4-44-44-44-2-24-4-4422-2-2222-2-222-22-21-1-1-1111-1-222-222-2-20023−2300−2323001-1-11−33−333−33−3000000000000000000000000000000000000000000
χ1024-4-44-44-44-2-24-4-4422-2-2222-2-222-22-21-1-1-1111-1-222-222-2-200−23230023−23001-1-113−33−3−33−33000000000000000000000000000000000000000000
χ1034-4-44-44-44-2-2-444-422-2-2222-2-222-22-21-1-1-1111-12-2-22-2-2220000000000-111-13i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1044-4-44-44-44-2-2-444-422-2-2222-2-222-22-21-1-1-1111-12-2-22-2-2220000000000-111-1−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ1058888-8-8-8-8-4-40000-4-4-44-44-4-444444422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-8-88-4-40000-444-4-44444-4-444-422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-8-888-4-400004-44-44-4-444444-4-42-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-88-8-4-4000044-444-44-44-4-44-442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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