Finite Group Databasebeta

← Group #11787542

Character table — Group #11787542

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order12222222334444666666666666662222366666661212121212121212666666666666666612121212888888882424242424242424242424242424242444442244666612121212444444
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
χ51111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ71111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ9111-11-1-1-1111-11-111-1-1-111-1-1-1-111-111-1-1111-1-1-1-11111-1-1-11-111-1-111-1-11111-1-1-1-111-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i1-1i−i11-1-1ii−i−ii−iii−i−i
χ10111-11-1-1-1111-11-111-1-1-111-1-1-1-111-111-1-1111-1-1-1-11111-1-1-11-111-1-111-1-11111-1-1-1-111-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii1-1−ii11-1-1−i−iii−ii−i−iii
χ11111-11-1-1-1111-11-111-1-1-111-1-1-1-111-111-1-1111-1-1-1-11111-1-1-11-111-1-111-1-11111-1-1-1-111-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii-11i−i-1-111ii−i−i−ii−i−iii
χ12111-11-1-1-1111-11-111-1-1-111-1-1-1-111-111-1-1111-1-1-1-11111-1-1-11-111-1-111-1-11111-1-1-1-111-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i-11−ii-1-111−i−iiii−iii−i−i
χ13111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1-1-111111-1-1-1-11111-1-1-11-1-1-111-1-111-1-1-1-1111111-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i-11−ii-1-111−i−iiii−i−i−iii
χ14111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1-1-111111-1-1-1-11111-1-1-11-1-1-111-1-111-1-1-1-1111111-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii-11i−i-1-111ii−i−i−iiii−i−i
χ15111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1-1-111111-1-1-1-11111-1-1-11-1-1-111-1-111-1-1-1-1111111-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii1-1−ii11-1-1−i−iii−iiii−i−i
χ16111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1-1-111111-1-1-1-11111-1-1-11-1-1-111-1-111-1-1-1-1111111-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i1-1i−i11-1-1ii−i−ii−i−i−iii
χ172222222222-2-2-2-222222222222222000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-20000000000000000000000002222000000000000-2-20000
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χ21222222222-1222222222-1-1-1-1-1-12-12-2-2-2-2-1-1-1-1-1-1-1-122-12-1-1-12-2-2-2-2111111111111-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
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χ2522222222-122222-1-1-1-1-1222222-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-12-1222-11111-2-2-2-211111111-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
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χ8544-4-4-44-444-200004-4-4-44-2222-2-2-4240000-2-2222-2-22000000000000000000000000000022−22−22220000−2−22222−2−2000000000000000000000000000000
χ8644-4-4-44-444-200004-4-4-44-2222-2-2-4240000-2-2222-2-220000000000000000000000000000−222222−22000022−2−2−2−222000000000000000000000000000000
χ8744-4-4-44-44-240000-2222-24-4-4-4442-4-20000-2-2222-2-220000000000000000000000000000000022−22−222200000000−2−22222−2−20000000000000000000000
χ8844-4-4-44-44-240000-2222-24-4-4-4442-4-20000-2-2222-2-2200000000000000000000000000000000−222222−220000000022−2−2−2−2220000000000000000000000
χ894-444-4-4-44440000-444-44-444-4-44-4-4-400004-444-4-44-400000000000000000000000000000000000000000000000000000000000000000000000000
χ904-444-4-4-444-20000-444-442-2-222-2-42-40000-22-2-222-22000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000
χ914-444-4-4-444-20000-444-442-2-222-2-42-40000-22-2-222-22000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000
χ924-444-4-4-44-2400002-2-22-2-444-4-442-420000-22-2-222-22000000000000000000000000000000000000000000006−6−666−6−660000000000000000000000
χ934-444-4-4-44-2400002-2-22-2-444-4-442-420000-22-2-222-2200000000000000000000000000000000000000000000−666−6−666−60000000000000000000000
χ944-44-4-444-4440000-44-44-4-44-444-4-4-4400004-44-444-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-4-444-44-20000-44-44-42-22-2-22-4240000-22-22-2-222000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000
χ964-44-4-444-44-20000-44-44-42-22-2-22-4240000-22-22-2-222000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000
χ974-44-4-444-4-2400002-22-22-44-444-42-4-20000-22-22-2-22200000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000
χ984-44-4-444-4-2400002-22-22-44-444-42-4-20000-22-22-2-22200000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000
χ994-4-4444-4-44-244-4-4-4-44-4-422-22-224-240000-222-22-22-24-4-24-222-40000000000000000-22-220000000000000000000000000000000000000000000000
χ1004-4-4444-4-4-2444-4-422-222-4-44-44-4-24-20000-222-22-22-2-224-24-4-420000000000000000-22-220000000000000000000000000000000000000000000000
χ1014-4-4444-4-4-2-244-4-422-22222-22-22-2-2-200001-1-11-11-11-22-2-2-2222000000003-3-333-3-331-11-10000000000000000000000000000000000000000000000
χ1024-4-4444-4-4-2-244-4-422-22222-22-22-2-2-200001-1-11-11-11-22-2-2-222200000000-333-3-333-31-11-10000000000000000000000000000000000000000000000
χ1034-4-4444-4-4-2-2-4-44422-22222-22-22-2-2-24-44-41-1-11-11-112-2222-2-2-2-22-22-22-2211-1-111-1-1-11-110000000000000000000000000000000000000000000000
χ1044-4-4444-4-4-2-2-4-44422-22222-22-22-2-2-2-44-441-1-11-11-112-2222-2-2-22-22-22-22-2-1-111-1-111-11-110000000000000000000000000000000000000000000000
χ1054-4-4-44-4444-24-4-44-4-4-444222-22-24-2-40000-2222-22-2-24-4-2-42-2240000000000000000-222-20000000000000000000000000000000000000000000000
χ1064-4-4-44-444-244-4-44222-2-2-4-4-44-44-2420000-2222-22-2-2-2242-44-4-20000000000000000-222-20000000000000000000000000000000000000000000000
χ1074-4-4-44-444-2-24-4-44222-2-2222-22-2-2-2200001-1-1-11-111-22-222-22-2000000003-3-33-333-31-1-110000000000000000000000000000000000000000000000
χ1084-4-4-44-444-2-24-4-44222-2-2222-22-2-2-2200001-1-1-11-111-22-222-22-200000000-333-33-3-331-1-110000000000000000000000000000000000000000000000
χ1094-4-4-44-444-2-2-444-4222-2-2222-22-2-2-224-4-441-1-1-11-1112-22-2-22-22-222-2-222-211-1-1-1-111-111-10000000000000000000000000000000000000000000000
χ1104-4-4-44-444-2-2-444-4222-2-2222-22-2-2-22-444-41-1-1-11-1112-22-2-22-222-2-222-2-22-1-11111-1-1-111-10000000000000000000000000000000000000000000000
χ11188-88-8-88-8-4-40000-44-4-44-44-4-444444000022-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-88-4-40000-4444-4-4444-4-444-4000022-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-8-88-4-400004-4-44-44-4-444-444400002-222-2-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-888-8-4-400004-44-444-44-4-4444-400002-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000

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