Finite Group Databasebeta

← Group #11869521

Character table — Group #11869521

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222244444444448888888888121212121212121212121212181824242424242436363611112222222222444444444488888888881212121212121212121212121818242424242424363636
order1222334466666634466612121212121212121212121212128888242424242424242444441212121224422226644666666644666121212121212121212121212121288882424242424242424444412121212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1
χ31111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1111-1-1-1-1-11111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1111-1-1-1-1-1
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
χ6111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1111-1-1-111111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1111-1-1-111
χ7111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-1-1-111-111111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-1-1-111-111
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
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χ10222222-2-2222222200222-2-2-2-20000-2-20000000000000000-2-2000000200222222-2-2222222200222-2-2-2-20000-2-20000000000000000-2-2000000200
χ1122222-1222-12-1-12-122-1-1-1-12-1222-1-1-1-1-1-1-1-100220000-1-1-1-10002-1-10000022222-1222-12-1-12-122-1-1-1-12-1222-1-1-1-1-1-1-1-100220000-1-1-1-10002-1-100000
χ1222222-1222-12-1-12-122-1-1-1-12-1222-1-1-1-1-1-1-1-100-2-200001111000-2110000022222-1222-12-1-12-122-1-1-1-12-1222-1-1-1-1-1-1-1-100-2-200001111000-21100000
χ1322222-1222-12-1-12-1-2-2-1-1-1-12-12-2-211-1-1111100220000-1-1-1-1000-2110000022222-1222-12-1-12-1-2-2-1-1-1-12-12-2-211-1-1111100220000-1-1-1-1000-21100000
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χ152222-1222-12-122-1-122-1-1-12-12-1-1-122-1-1-1-1-1-12200-1-1-1-10000002000-1-10002222-1222-12-122-1-122-1-1-12-12-1-1-122-1-1-1-1-1-12200-1-1-1-10000002000-1-1000
χ162222-1222-12-122-1-122-1-1-12-12-1-1-122-1-1-1-1-1-1-2-2001111000000-2000110002222-1222-12-122-1-122-1-1-12-12-1-1-122-1-1-1-1-1-1-2-2001111000000-200011000
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χ182222-1222-12-122-1-1-2-2-1-1-12-12-111-2-2-1-11111-2-20011110000002000-1-10002222-1222-12-122-1-1-2-2-1-1-12-12-111-2-2-1-11111-2-20011110000002000-1-1000
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χ272-22-2-12-22121-2-2-1-12i−2i1-11-2-121−ii2i−2i1-1−i−iii000033−3−30000000000−i3i30002-22-2-12-22121-2-2-1-12i−2i1-11-2-121−ii2i−2i1-1−i−iii000033−3−30000000000−i3i3000
χ282-22-2-12-22121-2-2-1-12i−2i1-11-2-121−ii2i−2i1-1−i−iii0000−3−3330000000000i3−i30002-22-2-12-22121-2-2-1-12i−2i1-11-2-121−ii2i−2i1-1−i−iii0000−3−3330000000000i3−i3000
χ292-22-2-12-22121-2-2-1-1−2i2i1-11-2-121i−i−2i2i1-1ii−i−i000033−3−30000000000i3−i30002-22-2-12-22121-2-2-1-1−2i2i1-11-2-121i−i−2i2i1-1ii−i−i000033−3−30000000000i3−i3000
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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
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χ5688-8-8-4-40044-4-444200-2-22000000000000000000000000000000000000088-8-8-4-40044-4-444200-2-220000000000000000000000000000000000000
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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
χ59111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1111-1-1111
χ601111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-1-111111
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
χ63111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111111-1-1-1111-1-1
χ64111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-111-1111-1-11-1-1
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χ822-22-22-1-22-2-1-2112-1−2i2i1-1112-1-2−2i2ii−i1-1ii−i−i00000000−i3−i3i3i30000−3300000-22-22-212-2212-1-1-212i−2i-11-1-1-2122i−2i−ii-11−i−iii00000000i3i3−i3−i300003−300000
χ832-22-22-1-22-2-1-2112-1−2i2i1-1112-1-2−2i2ii−i1-1ii−i−i00000000i3i3−i3−i300003−300000-22-22-212-2212-1-1-212i−2i-11-1-1-2122i−2i−ii-11−i−iii00000000−i3−i3i3i30000−3300000
χ842-22-2-12-22121-2-2-1-12i−2i1-11-2-121−ii2i−2i1-1−i−iii000033−3−30000000000−i3i3000-22-221-22-2-1-2-12211−2i2i-11-121-2-1i−i−2i2i-11ii−i−i0000−3−3330000000000i3−i3000
χ852-22-2-12-22121-2-2-1-12i−2i1-11-2-121−ii2i−2i1-1−i−iii0000−3−3330000000000i3−i3000-22-221-22-2-1-2-12211−2i2i-11-121-2-1i−i−2i2i-11ii−i−i000033−3−30000000000−i3i3000
χ862-22-2-12-22121-2-2-1-1−2i2i1-11-2-121i−i−2i2i1-1ii−i−i000033−3−30000000000i3−i3000-22-221-22-2-1-2-122112i−2i-11-121-2-1−ii2i−2i-11−i−iii0000−3−3330000000000−i3i3000
χ872-22-2-12-22121-2-2-1-1−2i2i1-11-2-121i−i−2i2i1-1ii−i−i0000−3−3330000000000−i3i3000-22-221-22-2-1-2-122112i−2i-11-121-2-1−ii2i−2i-11−i−iii000033−3−30000000000i3−i3000
χ882-2-2222002-2-2-22-22002-2-2000000000000002−2−i2i22−22−2−i2i2−i2i22i−2i000000000-222-2-2-200-2222-22-200-22200000000000000−22i2−i2−22−22i2−i2i2−i2−2i2i000000000
χ892-2-2222002-2-2-22-22002-2-2000000000000002−2i2−i22−22−2i2−i2i2−i2−2i2i000000000-222-2-2-200-2222-22-200-22200000000000000−22−i2i2−22−22−i2i2−i2i22i−2i000000000
χ902-2-2222002-2-2-22-22002-2-200000000000000−22−i2i2−22−22−i2i2−i2i2−2i2i000000000-222-2-2-200-2222-22-200-222000000000000002−2i2−i22−22−2i2−i2i2−i22i−2i000000000
χ912-2-2222002-2-2-22-22002-2-200000000000000−22i2−i2−22−22i2−i2i2−i22i−2i000000000-222-2-2-200-2222-22-200-222000000000000002−2−i2i22−22−2−i2i2−i2i2−2i2i000000000
χ9244444-2-4-44-24-2-24-200-2-2-22-42-4000022000000000000000000000000000-4-4-4-4-4244-42-422-4200222-24-240000-2-2000000000000000000000000000
χ934444-24-4-4-24-244-2-200-2-2-2-42-42000022000000000000000000000000000-4-4-4-42-4442-42-4-422002224-24-20000-2-2000000000000000000000000000
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
χ9844-4-44400-4-444-4-4400-4-440000000000000000000000000000000000000-4-444-4-40044-4-444-40044-40000000000000000000000000000000000000
χ9944-4-44-200-424-22-4-20022-200000000000000000000006−6−6600000000000-4-444-42004-2-42-24200-2-220000000000000000000000−666−600000000000
χ10044-4-44-200-424-22-4-20022-20000000000000000000000−666−600000000000-4-444-42004-2-42-24200-2-2200000000000000000000006−6−6600000000000
χ10144-4-4-24002-4-24-42-20022-20000000000000000006−6−66000000000000000-4-4442-400-242-44-2200-2-22000000000000000000−666−6000000000000000
χ10244-4-4-24002-4-24-42-20022-2000000000000000000−666−6000000000000000-4-4442-400-242-44-2200-2-220000000000000000006−6−66000000000000000
χ1034-44-44-24-4-4-2-4224-2002-22-2-4240000-22000000000000000000000000000-44-44-42-44424-2-2-4200-22-224-2-400002-2000000000000000000000000000
χ1044-44-4-244-4242-4-4-2-2002-2242-4-20000-22000000000000000000000000000-44-442-4-44-2-4-2442200-22-2-4-24200002-2000000000000000000000000000
χ1054-44-4-2-24-42-2222-2100-11-1-222-200001-13i−3i−3i3i00000000000000000000000-44-4422-44-22-2-2-22-1001-112-2-220000-11−3i3i3i−3i00000000000000000000000
χ1064-44-4-2-24-42-2222-2100-11-1-222-200001-1−3i3i3i−3i00000000000000000000000-44-4422-44-22-2-2-22-1001-112-2-220000-113i−3i−3i3i00000000000000000000000
χ1074-44-4-2-2-442-2222-214i−4i-11-12-2-22−2i2i−2i2i-11ii−i−i00000000000000000000000-44-44224-4-22-2-2-22-1−4i4i1-11-222-22i−2i2i−2i1-1−i−iii00000000000000000000000
χ1084-44-4-2-2-442-2222-21−4i4i-11-12-2-222i−2i2i−2i-11−i−iii00000000000000000000000-44-44224-4-22-2-2-22-14i−4i1-11-222-2−2i2i−2i2i1-1ii−i−i00000000000000000000000
χ1094-4-444-20042-42-2-4-200-2220000000000000000−2i22i20000i2−i2i2−i200000000000-444-4-4200-4-24-2242002-2-200000000000000002i2−2i20000−i2i2−i2i200000000000
χ1104-4-444-20042-42-2-4-200-22200000000000000002i2−2i20000−i2i2−i2i200000000000-444-4-4200-4-24-2242002-2-20000000000000000−2i22i20000i2−i2i2−i200000000000
χ1114-4-44-2400-2-42-442-200-2220000000000000022−2200−22−22000000000000000-444-42-40024-24-4-22002-2-200000000000000−2222002−22−2000000000000000
χ1124-4-44-2400-2-42-442-200-22200000000000000−2222002−22−2000000000000000-444-42-40024-24-4-22002-2-20000000000000022−2200−22−22000000000000000
χ11388-8-8-4-40044-4-444200-2-220000000000000000000000000000000000000-8-8884400-4-444-4-4-20022-20000000000000000000000000000000000000
χ1148-8-88-4-400-4444-442002-2-20000000000000000000000000000000000000-888-844004-4-4-44-4-200-2220000000000000000000000000000000000000

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