Finite Group Databasebeta

← Group #11865655

Character table — Group #11865655

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222244444444448888888888121212121212121212121212181824242424242436363611112222222222444444444488888888881212121212121212121212121818242424242424363636
order1222334466666634466612121212121212121212121212128888242424242424242444441212121244422226644666666644666121212121212121212121212121288882424242424242424444412121212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-1-1-11111-1-1-11-1-111-1-1-11111111111111111111111111111111111-1-111-1-1-1-11111-1-1-11-1-111-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ5111111111111111-1-11111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-11-1-1111111111111111-1-11111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-11-1-1
χ6111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-111111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-111
χ7111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-111-1-1-111111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-111-1-1-111
χ8111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ9222222-2-2222222200222-2-2-2-20000-2-2000000000000000022000000-200222222-2-2222222200222-2-2-2-20000-2-2000000000000000022000000-200
χ10222222-2-2222222200222-2-2-2-20000-2-20000000000000000-2-2000000200222222-2-2222222200222-2-2-2-20000-2-20000000000000000-2-2000000200
χ1122222-1222-12-12-1-122-1-1-12-12-122-1-1-1-1-1-1-1-100220000-1-1-1-1000200-1-100022222-1222-12-12-1-122-1-1-12-12-122-1-1-1-1-1-1-1-100220000-1-1-1-1000200-1-1000
χ1222222-1222-12-12-1-122-1-1-12-12-122-1-1-1-1-1-1-1-100-2-200001111000-2001100022222-1222-12-12-1-122-1-1-12-12-122-1-1-1-1-1-1-1-100-2-200001111000-20011000
χ1322222-1222-12-12-1-1-2-2-1-1-12-12-1-2-211-1-1111100220000-1-1-1-1000-2001100022222-1222-12-12-1-1-2-2-1-1-12-12-1-2-211-1-1111100220000-1-1-1-1000-20011000
χ1422222-1222-12-12-1-1-2-2-1-1-12-12-1-2-211-1-1111100-2-200001111000200-1-100022222-1222-12-12-1-1-2-2-1-1-12-12-1-2-211-1-1111100-2-200001111000200-1-1000
χ152222-1222-12-12-12-122-1-1-1-12-12-1-122-1-1-1-1-1-12200-1-1-1-100000020-1-1000002222-1222-12-12-12-122-1-1-1-12-12-1-122-1-1-1-1-1-12200-1-1-1-100000020-1-100000
χ162222-1222-12-12-12-122-1-1-1-12-12-1-122-1-1-1-1-1-1-2-2001111000000-2011000002222-1222-12-12-12-122-1-1-1-12-12-1-122-1-1-1-1-1-1-2-2001111000000-201100000
χ172222-1222-12-12-12-1-2-2-1-1-1-12-1211-2-2-1-111112200-1-1-1-1000000-2011000002222-1222-12-12-12-1-2-2-1-1-1-12-1211-2-2-1-111112200-1-1-1-1000000-201100000
χ182222-1222-12-12-12-1-2-2-1-1-1-12-1211-2-2-1-11111-2-200111100000020-1-1000002222-1222-12-12-12-1-2-2-1-1-1-12-1211-2-2-1-11111-2-200111100000020-1-100000
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χ252-2-2222-22-2-2-2-222200-22-2-2-2220000-2200000000000000000000000002-22-2-2222-22-2-2-2-222200-22-2-2-2220000-2200000000000000000000000002-2
χ262-2-2222-22-2-2-2-222200-22-2-2-2220000-220000000000000000000000000-222-2-2222-22-2-2-2-222200-22-2-2-2220000-220000000000000000000000000-22
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χ292-2-222-12-2-21-212-1-1−2i2i1-112-1-21−2i2ii−i-11ii−i−i000000003−33−3000000i3−i30002-2-222-12-2-21-212-1-1−2i2i1-112-1-21−2i2ii−i-11ii−i−i000000003−33−3000000i3−i3000
χ302-2-222-12-2-21-212-1-1−2i2i1-112-1-21−2i2ii−i-11ii−i−i00000000−33−33000000−i3i30002-2-222-12-2-21-212-1-1−2i2i1-112-1-21−2i2ii−i-11ii−i−i00000000−33−33000000−i3i3000
χ312-2-22-122-21-21-2-12-12i−2i1-11-121-2−ii2i−2i-11−i−iii00003−33−300000000−i3i3000002-2-22-122-21-21-2-12-12i−2i1-11-121-2−ii2i−2i-11−i−iii00003−33−300000000−i3i300000
χ322-2-22-122-21-21-2-12-12i−2i1-11-121-2−ii2i−2i-11−i−iii0000−33−3300000000i3−i3000002-2-22-122-21-21-2-12-12i−2i1-11-121-2−ii2i−2i-11−i−iii0000−33−3300000000i3−i300000
χ332-2-22-122-21-21-2-12-1−2i2i1-11-121-2i−i−2i2i-11ii−i−i00003−33−300000000i3−i3000002-2-22-122-21-21-2-12-1−2i2i1-11-121-2i−i−2i2i-11ii−i−i00003−33−300000000i3−i300000
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χ3544444-2-4-44-24-24-2-200-2-2-2-42-4200002200000000000000000000000000044444-2-4-44-24-24-2-200-2-2-2-42-42000022000000000000000000000000000
χ364444-24-4-4-24-24-24-200-2-2-22-42-40000220000000000000000000000000004444-24-4-4-24-24-24-200-2-2-22-42-4000022000000000000000000000000000
χ374444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2111111000000000000000000000004444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-211111100000000000000000000000
χ384444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2222211-1-1-1-1000000000000000000000004444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2222211-1-1-1-100000000000000000000000
χ394444-2-2-4-4-2-2-2-2-2-210011122220000-1-13-33-3000000000000000000000004444-2-2-4-4-2-2-2-2-2-210011122220000-1-13-33-300000000000000000000000
χ404444-2-2-4-4-2-2-2-2-2-210011122220000-1-1-33-33000000000000000000000004444-2-2-4-4-2-2-2-2-2-210011122220000-1-1-33-3300000000000000000000000
χ4144-4-44-2004-2-42-42-200-222000000000000000022−220000−2−2220000000000044-4-44-2004-2-42-42-200-222000000000000000022−220000−2−22200000000000
χ4244-4-44-2004-2-42-42-200-2220000000000000000−2222000022−2−20000000000044-4-44-2004-2-42-42-200-2220000000000000000−2222000022−2−200000000000
χ4344-4-4-2400-242-42-4-200-2220000000000000022−2200−2−22200000000000000044-4-4-2400-242-42-4-200-2220000000000000022−2200−2−222000000000000000
χ4444-4-4-2400-242-42-4-200-22200000000000000−22220022−2−200000000000000044-4-4-2400-242-42-4-200-22200000000000000−22220022−2−2000000000000000
χ454-44-44400-4-444-4-4400-4-4400000000000000000000000000000000000004-44-44400-4-444-4-4400-4-440000000000000000000000000000000000000
χ464-44-44-200-424-2-42-20022-200000000000000000000006−6−66000000000004-44-44-200-424-2-42-20022-200000000000000000000006−6−6600000000000
χ474-44-44-200-424-2-42-20022-20000000000000000000000−666−6000000000004-44-44-200-424-2-42-20022-20000000000000000000000−666−600000000000
χ484-44-4-24002-4-242-4-20022-20000000000000000006−6−660000000000000004-44-4-24002-4-242-4-20022-20000000000000000006−6−66000000000000000
χ494-44-4-24002-4-242-4-20022-2000000000000000000−666−60000000000000004-44-4-24002-4-242-4-20022-2000000000000000000−666−6000000000000000
χ504-4-444-2-44-42-424-2-2002-22-424-200002-20000000000000000000000000004-4-444-2-44-42-424-2-2002-22-424-200002-2000000000000000000000000000
χ514-4-44-24-442-42-4-24-2002-222-4-2400002-20000000000000000000000000004-4-44-24-442-42-4-24-2002-222-4-2400002-2000000000000000000000000000
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χ534-4-44-2-24-42222-2-21−4i4i-11-1-2-2222i−2i2i−2i1-1−i−iii000000000000000000000004-4-44-2-24-42222-2-21−4i4i-11-1-2-2222i−2i2i−2i1-1−i−iii00000000000000000000000
χ544-4-44-2-2-442222-2-2100-11-122-2-20000-113i−3i−3i3i000000000000000000000004-4-44-2-2-442222-2-2100-11-122-2-20000-113i−3i−3i3i00000000000000000000000
χ554-4-44-2-2-442222-2-2100-11-122-2-20000-11−3i3i3i−3i000000000000000000000004-4-44-2-2-442222-2-2100-11-122-2-20000-11−3i3i3i−3i00000000000000000000000
χ5688-8-8-4-400-4-444442002-2-2000000000000000000000000000000000000088-8-8-4-400-4-444442002-2-20000000000000000000000000000000000000
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χ58111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ59111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-111111
χ601111111111111111111111111111111111-1-111-1-1-1-11111-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-111-1-1111
χ611111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1
χ62111111111111111-1-11111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111
χ63111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111111-111-1-11-1-1
χ64111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-111-11-1-1111-1-1
χ65111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-111
χ66222222-2-2222222200222-2-2-2-20000-2-2000000000000000022000000-200-2-2-2-2-2-222-2-2-2-2-2-2-200-2-2-222220000220000000000000000-2-2000000200
χ67222222-2-2222222200222-2-2-2-20000-2-20000000000000000-2-2000000200-2-2-2-2-2-222-2-2-2-2-2-2-200-2-2-22222000022000000000000000022000000-200
χ6822222-1222-12-12-1-122-1-1-12-12-122-1-1-1-1-1-1-1-100220000-1-1-1-1000200-1-1000-2-2-2-2-21-2-2-21-21-211-2-2111-21-21-2-21111111100-2-200001111000-20011000
χ6922222-1222-12-12-1-122-1-1-12-12-122-1-1-1-1-1-1-1-100-2-200001111000-20011000-2-2-2-2-21-2-2-21-21-211-2-2111-21-21-2-21111111100220000-1-1-1-1000200-1-1000
χ7022222-1222-12-12-1-1-2-2-1-1-12-12-1-2-211-1-1111100220000-1-1-1-1000-20011000-2-2-2-2-21-2-2-21-21-21122111-21-2122-1-111-1-1-1-100-2-200001111000200-1-1000
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χ822-2-2222-22-2-2-2-222200-22-2-2-2220000-2200000000000000000000000002-2-222-2-2-22-22222-2-2-2002-2222-2-200002-20000000000000000000000000-22
χ832-2-2222-22-2-2-2-222200-22-2-2-2220000-220000000000000000000000000-22-222-2-2-22-22222-2-2-2002-2222-2-200002-200000000000000000000000002-2
χ842-2-222-12-2-21-212-1-12i−2i1-112-1-212i−2i−ii-11−i−iii000000003−33−3000000−i3i3000-222-2-21-222-12-1-211−2i2i-11-1-212-1−2i2ii−i1-1ii−i−i00000000−33−33000000i3−i3000
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χ862-2-222-12-2-21-212-1-1−2i2i1-112-1-21−2i2ii−i-11ii−i−i000000003−33−3000000i3−i3000-222-2-21-222-12-1-2112i−2i-11-1-212-12i−2i−ii1-1−i−iii00000000−33−33000000−i3i3000
χ872-2-222-12-2-21-212-1-1−2i2i1-112-1-21−2i2ii−i-11ii−i−i00000000−33−33000000−i3i3000-222-2-21-222-12-1-2112i−2i-11-1-212-12i−2i−ii1-1−i−iii000000003−33−3000000i3−i3000
χ882-2-22-122-21-21-2-12-12i−2i1-11-121-2−ii2i−2i-11−i−iii00003−33−300000000−i3i300000-222-21-2-22-12-121-21−2i2i-11-11-2-12i−i−2i2i1-1ii−i−i0000−33−3300000000i3−i300000
χ892-2-22-122-21-21-2-12-12i−2i1-11-121-2−ii2i−2i-11−i−iii0000−33−3300000000i3−i300000-222-21-2-22-12-121-21−2i2i-11-11-2-12i−i−2i2i1-1ii−i−i00003−33−300000000−i3i300000
χ902-2-22-122-21-21-2-12-1−2i2i1-11-121-2i−i−2i2i-11ii−i−i00003−33−300000000i3−i300000-222-21-2-22-12-121-212i−2i-11-11-2-12−ii2i−2i1-1−i−iii0000−33−3300000000−i3i300000
χ912-2-22-122-21-21-2-12-1−2i2i1-11-121-2i−i−2i2i-11ii−i−i0000−33−3300000000−i3i300000-222-21-2-22-12-121-212i−2i-11-11-2-12−ii2i−2i1-1−i−iii00003−33−300000000i3−i300000
χ9244444-2-4-44-24-24-2-200-2-2-2-42-42000022000000000000000000000000000-4-4-4-4-4244-42-42-422002224-24-20000-2-2000000000000000000000000000
χ934444-24-4-4-24-24-24-200-2-2-22-42-4000022000000000000000000000000000-4-4-4-42-4442-42-42-4200222-24-240000-2-2000000000000000000000000000
χ944444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-211111100000000000000000000000-4-4-4-422-4-4222222-1-4-4-1-1-122222222-1-1-1-1-1-100000000000000000000000
χ954444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2222211-1-1-1-100000000000000000000000-4-4-4-422-4-4222222-144-1-1-12222-2-2-2-2-1-1111100000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-210011122220000-1-13-33-300000000000000000000000-4-4-4-42244222222-100-1-1-1-2-2-2-2000011-33-3300000000000000000000000
χ974444-2-2-4-4-2-2-2-2-2-210011122220000-1-1-33-3300000000000000000000000-4-4-4-42244222222-100-1-1-1-2-2-2-20000113-33-300000000000000000000000
χ9844-4-44-2004-2-42-42-200-222000000000000000022−220000−2−22200000000000-4-444-4200-424-24-22002-2-20000000000000000−2222000022−2−200000000000
χ9944-4-44-2004-2-42-42-200-2220000000000000000−2222000022−2−200000000000-4-444-4200-424-24-22002-2-2000000000000000022−220000−2−22200000000000
χ10044-4-4-2400-242-42-4-200-2220000000000000022−2200−2−222000000000000000-4-4442-4002-4-24-242002-2-200000000000000−22220022−2−2000000000000000
χ10144-4-4-2400-242-42-4-200-22200000000000000−22220022−2−2000000000000000-4-4442-4002-4-24-242002-2-20000000000000022−2200−2−222000000000000000
χ1024-44-44400-4-444-4-4400-4-440000000000000000000000000000000000000-44-44-4-40044-4-444-40044-40000000000000000000000000000000000000
χ1034-44-44-200-424-2-42-20022-200000000000000000000006−6−6600000000000-44-44-42004-2-424-2200-2-220000000000000000000000−666−600000000000
χ1044-44-44-200-424-2-42-20022-20000000000000000000000−666−600000000000-44-44-42004-2-424-2200-2-2200000000000000000000006−6−6600000000000
χ1054-44-4-24002-4-242-4-20022-20000000000000000006−6−66000000000000000-44-442-400-242-4-24200-2-22000000000000000000−666−6000000000000000
χ1064-44-4-24002-4-242-4-20022-2000000000000000000−666−6000000000000000-44-442-400-242-4-24200-2-220000000000000000006−6−66000000000000000
χ1074-4-444-2-44-42-424-2-2002-22-424-200002-2000000000000000000000000000-444-4-424-44-24-2-42200-22-24-2-420000-22000000000000000000000000000
χ1084-4-44-24-442-42-4-24-2002-222-4-2400002-2000000000000000000000000000-444-42-44-4-24-242-4200-22-2-242-40000-22000000000000000000000000000
χ1094-4-44-2-24-42222-2-214i−4i-11-1-2-222−2i2i−2i2i1-1ii−i−i00000000000000000000000-444-422-44-2-2-2-222-1−4i4i1-1122-2-22i−2i2i−2i-11−i−iii00000000000000000000000
χ1104-4-44-2-24-42222-2-21−4i4i-11-1-2-2222i−2i2i−2i1-1−i−iii00000000000000000000000-444-422-44-2-2-2-222-14i−4i1-1122-2-2−2i2i−2i2i-11ii−i−i00000000000000000000000
χ1114-4-44-2-2-442222-2-2100-11-122-2-20000-113i−3i−3i3i00000000000000000000000-444-4224-4-2-2-2-222-1001-11-2-22200001-1−3i3i3i−3i00000000000000000000000
χ1124-4-44-2-2-442222-2-2100-11-122-2-20000-11−3i3i3i−3i00000000000000000000000-444-4224-4-2-2-2-222-1001-11-2-22200001-13i−3i−3i3i00000000000000000000000
χ11388-8-8-4-400-4-444442002-2-20000000000000000000000000000000000000-8-888440044-4-4-4-4-200-2220000000000000000000000000000000000000
χ1148-88-8-4-40044-4-444200-2-220000000000000000000000000000000000000-88-884400-4-444-4-4-20022-20000000000000000000000000000000000000

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