Finite Group Databasebeta

← Group #11791464

Character table — Group #11791464

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order12222222334444666666666666663666666612121212121212124444226666666666666666121212124444448888121212121212121224242424242424242266661212121244448888
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
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ91-1-1111-1-11111-1-111-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-111-1-11-111-1-111-1-11111-1-1-1-111-1-11-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i1-111-1-1ii−i−iii−i−iii−i−i
χ101-1-1111-1-11111-1-111-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-111-1-11-111-1-111-1-11111-1-1-1-111-1-11-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii1-111-1-1−i−iii−i−iii−i−iii
χ111-1-1111-1-11111-1-111-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-111-1-1-11-1-111-1-111-1-1-1-1111111-1-11-1ii−i−i−i−iii1111-1-1-1-1−i−i−i−iiiii-11-1-111ii−i−iii−i−i−i−iii
χ121-1-1111-1-11111-1-111-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-111-1-1-11-1-111-1-111-1-1-1-1111111-1-11-1−i−iiiii−i−i1111-1-1-1-1iiii−i−i−i−i-11-1-111−i−iii−i−iiiii−i−i
χ131-1-1111-1-11111-1-111-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-111-1-1-11ii−i−iii−i−i-1-1-1-11111iiii−i−i−i−i-11-1-111ii−i−i−i−iii−i−iii
χ141-1-1111-1-11111-1-111-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-111-1-1-11−i−iii−i−iii-1-1-1-11111−i−i−i−iiiii-11-1-111−i−iiiii−i−iii−i−i
χ151-1-1111-1-11111-1-111-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-1-1-111-11-1-111-1-111-1-1-1-1111111-1-1-11ii−i−i−i−iii-1-1-1-11111−i−i−i−iiiii1-111-1-1ii−i−i−i−iiiii−i−i
χ161-1-1111-1-11111-1-111-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-1-1-111-11-1-111-1-111-1-1-1-1111111-1-1-11−i−iiiii−i−i-1-1-1-11111iiii−i−i−i−i1-111-1-1−i−iiiii−i−i−i−iii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-22222000000000000000000-2-2-2-2-2-20000000022-2-222-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000-2-2-2-22200000000-2-222-2-22200000000000000000000000000
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χ20222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-122-1-12-1-122222-2-2-2-2-2-2111111111111-1-1-1-12200000000-1-1-1-1-1-1-1-100000000-2-21111000000000000
χ21222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000001111111100000000-2-21111000000000000
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χ25222222222-1-2-2-2-222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-2-211-211-2-2-2-2-2000000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i31111220000000011-1-111-1-10000000000i3−i3i3−i3000000000000
χ26222222222-1-2-2-2-222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-2-211-211-2-2-2-2-2000000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i31111220000000011-1-111-1-10000000000−i3i3−i3i3000000000000
χ2722222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-1-122-122-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-1000000-1-1-1-100000000
χ2822222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-1-122-122-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-20000000011111111000000111100000000
χ2922222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-1-122-122-10000-2-21111-2-2-2-211111111-1-1-1-1002222-2-2-2-20000000011111111000000-1-1-1-100000000
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χ32222-22-2-2-22200002-222-222-2-2-2-22-2-222-222-2-2-2000000002-22-20000000000000000000000000000i2−i2i2−i22-2002-200i2i2−i2−i2i2i2−i2−i200000000000000i2−i2i2−i2
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χ8344-44-4-44-4-2-2-44-4422-222-22-22-2-222-21-1-11-11-112-22-222-2-2000000−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i3-11-1100000000000000000000000000000000000000000000
χ8444-44-4-44-4-2-2-44-4422-222-22-22-2-222-21-1-11-11-112-22-222-2-20000002i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i3-11-1100000000000000000000000000000000000000000000
χ8544-4-4-44-44440000-444-444-4-44-4-4-44-44-444-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8644-4-4-44-444-20000-444-44-222-2-422-2-4-22-2-222-220000000000000000000000000000000000000000000000−2i32i300−2i32i300000000000000000000000000
χ8744-4-4-44-444-20000-444-44-222-2-422-2-4-22-2-222-2200000000000000000000000000000000000000000000002i3−2i3002i3−2i300000000000000000000000000
χ8844-4-4-44-44-2400002-2-22-24-4-442-4-442-22-2-222-2200000000000000000000000000000000000000000000000000006−6−666−6−66000000000000000000
χ8944-4-4-44-44-2400002-2-22-24-4-442-4-442-22-2-222-220000000000000000000000000000000000000000000000000000−666−6−666−6000000000000000000
χ904-444-4-4-444-24-4-44-4-4-4442-22-24-222-4-2222-22-2-24-4-22-42-240000000000000000000000-222-200000000000000000000000000000000000000000000
χ914-444-4-4-444-2-444-4-4-4-4442-22-24-222-4-2222-22-2-2-442-24-22-400000000000000000000002-2-2200000000000000000000000000000000000000000000
χ924-444-4-4-44-244-4-44222-2-2-44-44-24-4-42-2222-22-2-2-224-42-44-20000000000000000000000-222-200000000000000000000000000000000000000000000
χ934-444-4-4-44-2-24-4-44222-2-22-22-2-2-22221-1-1-11-111-22-2222-2-2000000000000003-3-33-333-31-1-1100000000000000000000000000000000000000000000
χ944-444-4-4-44-2-24-4-44222-2-22-22-2-2-22221-1-1-11-111-22-2222-2-200000000000000-333-33-3-331-1-1100000000000000000000000000000000000000000000
χ954-444-4-4-44-2-2-444-4222-2-22-22-2-2-22221-1-1-11-1112-22-2-2-222000000−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i3-111-100000000000000000000000000000000000000000000
χ964-444-4-4-44-2-2-444-4222-2-22-22-2-2-22221-1-1-11-1112-22-2-2-2220000002i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i3-111-100000000000000000000000000000000000000000000
χ974-44-4-444-4440000-44-44-4-444-4-4-4-4444-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ984-44-4-444-44-20000-44-44-42-2-22-422-24-22-22-2-2220000000000000000000000000000000000000000000000−2i32i3002i3−2i300000000000000000000000000
χ994-44-4-444-44-20000-44-44-42-2-22-422-24-22-22-2-22200000000000000000000000000000000000000000000002i3−2i300−2i32i300000000000000000000000000
χ1004-44-4-444-4-2400002-22-22-444-42-4-44-2-22-22-2-2220000000000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ1014-44-4-444-4-2400002-22-22-444-42-4-44-2-22-22-2-2220000000000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ1024-4-4444-4-4-24-4-444-2-2222-4-4-4-4-24442-2-2-22222-222-4-4-244-2000000000000000000000022-2-200000000000000000000000000000000000000000000
χ1034-4-4444-4-4-2-244-4-4-2-22222222-2-2-2-22111-1-1-1-11-2-2-2-2222200004-4-2-222-2-2221111-1-1-1-111-1-100000000000000000000000000000000000000000000
χ1044-4-4444-4-4-2-244-4-4-2-22222222-2-2-2-22111-1-1-1-11-2-2-2-222220000-4422-2-222-2-2-1-1-1-1111111-1-100000000000000000000000000000000000000000000
χ1054-4-4444-4-4-2-2-4-444-2-22222222-2-2-2-22111-1-1-1-112222-2-2-2-20000000000−2i32i32i3−2i3i3i3−i3−i3−i3−i3i3i3-1-11100000000000000000000000000000000000000000000
χ1064-4-4444-4-4-2-2-4-444-2-22222222-2-2-2-22111-1-1-1-112222-2-2-2-200000000002i3−2i3−2i32i3−i3−i3i3i3i3i3−i3−i3-1-11100000000000000000000000000000000000000000000
χ1074-4-4-44-4444-200004-4-4-4422-2-2-42-224-2-2222-2-22000000004-4-4400000000000000000000000000000000-22002-20000000000000000000000000000
χ1084-4-4-44-4444-200004-4-4-4422-2-2-42-224-2-2222-2-2200000000-444-4000000000000000000000000000000002-200-220000000000000000000000000000
χ1094-4-4-44-444-240000-2222-2-4-4442-44-4-2-2-2222-2-22000000000000000000000000000000000000000022−22−222200000000−2−22222−2−2000000000000000000
χ1104-4-4-44-444-240000-2222-2-4-4442-44-4-2-2-2222-2-220000000000000000000000000000000000000000−222222−220000000022−2−2−2−222000000000000000000
χ111888-88-8-8-8-4-40000-44-4-44-4-44444-44422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-88-4-400004-4-44-4-444-4444-442-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-888-8-4-400004-44-444-4-44444-4-42-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-88-888-4-40000-4444-444-4-444-44-422-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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