Finite Group Databasebeta

← Group #11868513

Character table — Group #11868513

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222444444446688888888888121212121212121212121212122424242424363636361111222222222244444444668888888888812121212121212121212121212242424242436363636
order1222334466666636661212121244412121212121212121212444881212121224242424412121212448822226644666666666612121212444121212121212121212124448812121212242424244121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-111-1-111-1-1111111111111111111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-111
χ51111111111111111111111-1-111111111111-11111-1-1-1-11111-111-1-1-1-1-1-11111111111111111111111-1-111111111111-11111-1-1-1-11111-111-1-1-1-1-1-1
χ61111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111
χ81111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-11111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1
χ9222222-2-22222222222-2-2-2-22200000-2-20000-2000022-2-20000000000000222222-2-22222222222-2-2-2-22200000-2-20000-2000022-2-20000000000000
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χ1122222-1222-12-12-1-1-1-1-12-1-1222222-1-1-1-1-1-1-1-120000-1-1-1-10000200-1-1000022222-1222-12-12-1-1-1-1-12-1-1222222-1-1-1-1-1-1-1-120000-1-1-1-10000200-1-10000
χ1222222-1222-12-12-1-1-1-1-12-1-1222-2-2-211-1-1111120000-1-1-1-10000-20011000022222-1222-12-12-1-1-1-1-12-1-1222-2-2-211-1-1111120000-1-1-1-10000-200110000
χ1322222-1222-12-12-1-1-1-1-12-1-12-2-2222-1-1-1-1-1-1-1-1-2000011110000-20011000022222-1222-12-12-1-1-1-1-12-1-12-2-2222-1-1-1-1-1-1-1-1-2000011110000-200110000
χ1422222-1222-12-12-1-1-1-1-12-1-12-2-2-2-2-211-1-11111-2000011110000200-1-1000022222-1222-12-12-1-1-1-1-12-1-12-2-2-2-2-211-1-11111-2000011110000200-1-10000
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χ1722222-1-2-22-12-12-1-1-1-1-1-211-2-2-2000−i3i311−i3−i3i3i32000011-1-10000000i3−i3000022222-1-2-22-12-12-1-1-1-1-1-211-2-2-2000−i3i311−i3−i3i3i32000011-1-10000000i3−i30000
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χ354444-24-4-4-24-24-24-2-2-2-22-4-42000000022000000000000000000000000004444-24-4-4-24-24-24-2-2-2-22-4-4200000002200000000000000000000000000
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χ5688-8-8-4-40044-4-4442-2-2200000000000000000000000000000000000000088-8-8-4-40044-4-4442-2-22000000000000000000000000000000000000000
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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
χ59111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111
χ60111111111111111111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-111-1-1-1-111111-1-111-1-111
χ61111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-111-1-1-1-1-1-1-1-1-1-11111111-1-1
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χ631111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ641111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-11111111111-1-1-1-1-111-1-1
χ651111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-11111-1-1-1-1-111-1-1-1-111
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χ842-2-22222-222-2-2-2-22-22-222-2-200000002-200000000000000000000002-200-222-2-2-2-22-2-22222-22-22-2-2220000000-220000000000000000000000-2200
χ852-2-22222-222-2-2-2-22-22-222-2-200000002-20000000000000000000000-2200-222-2-2-2-22-2-22222-22-22-2-2220000000-2200000000000000000000002-200
χ862-2-2222-2222-2-2-2-22-22-2-2-2220000000-22000002i−2i000000000002i−2i000000-222-2-2-22-2-2-22222-22-2222-2-200000002-200000−2i2i00000000000−2i2i000000
χ872-2-2222-2222-2-2-2-22-22-2-2-2220000000-2200000−2i2i00000000000−2i2i000000-222-2-2-22-2-2-22222-22-2222-2-200000002-2000002i−2i000000000002i−2i000000
χ882-2-22-12-22-121-21-2-11-111-22-10003−3001-13−33−302i−2i000000−i3i3−i3i30−ii000000-222-21-22-21-2-12-121-11-1-12-21000−3300-11−33−330−2i2i000000i3−i3i3−i30i−i000000
χ892-2-22-12-22-121-21-2-11-111-22-10003−3001-13−33−30−2i2i000000i3−i3i3−i30i−i000000-222-21-22-21-2-12-121-11-1-12-21000−3300-11−33−3302i−2i000000−i3i3−i3i30−ii000000
χ902-2-22-12-22-121-21-2-11-111-22-1000−33001-1−33−3302i−2i000000i3−i3i3−i30−ii000000-222-21-22-21-2-12-121-11-1-12-210003−300-113−33−30−2i2i000000−i3i3−i3i30i−i000000
χ912-2-22-12-22-121-21-2-11-111-22-1000−33001-1−33−330−2i2i000000−i3i3−i3i30i−i000000-222-21-22-21-2-12-121-11-1-12-210003−300-113−33−302i−2i000000i3−i3i3−i30−ii000000
χ924444-24-4-4-24-24-24-2-2-2-22-4-4200000002200000000000000000000000000-4-4-4-42-4442-42-42-42222-244-20000000-2-200000000000000000000000000
χ934444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-21111110000000000000000000000-4-4-4-422-4-4222222-1-1-1-1222200-42222-1-1-1-1-1-10000000000000000000000
χ944444-2-244-2-2-2-2-2-21111-2-2-2-200-4222211-1-1-1-10000000000000000000000-4-4-4-422-4-4222222-1-1-1-12222004-2-2-2-2-1-111110000000000000000000000
χ954444-2-2-4-4-2-2-2-2-2-21111222200000−2i32i3-1-1i3i3−i3−i30000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-2000002i3−2i311−i3−i3i3i30000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-211112222000002i3−2i3-1-1−i3−i3i3i30000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-200000−2i32i311i3i3−i3−i30000000000000000000000
χ9744-4-44400-4-444-4-44-4-44000000000000000000000000000000000000000-4-444-4-40044-4-444-444-4000000000000000000000000000000000000000
χ9844-4-44-200-424-2-42-222-200000000000000000000000023−230000000000000-4-444-42004-2-424-22-2-22000000000000000000000000−23230000000000000
χ9944-4-44-200-424-2-42-222-2000000000000000000000000−23230000000000000-4-444-42004-2-424-22-2-2200000000000000000000000023−230000000000000
χ10044-4-4-24002-4-242-4-222-2000000000000000000000000006−6−66000000000-4-4442-400-242-4-242-2-2200000000000000000000000000−666−6000000000
χ10144-4-4-24002-4-242-4-222-200000000000000000000000000−666−6000000000-4-4442-400-242-4-242-2-22000000000000000000000000006−6−66000000000
χ1024-44-44-200-42-424-2-2-22200004i−4i0000000000000000−2i2i000000000000000-44-44-42004-24-2-4222-2-20000−4i4i00000000000000002i−2i000000000000000
χ1034-44-44-200-42-424-2-2-2220000−4i4i00000000000000002i−2i000000000000000-44-44-42004-24-2-4222-2-200004i−4i0000000000000000−2i2i000000000000000
χ1044-44-4-24002-42-4-24-2-22200000000000000000000−2i22i20000i2i2−i2−i2000000000-44-442-400-24-242-422-2-2000000000000000000002i2−2i20000−i2−i2i2i2000000000
χ1054-44-4-24002-42-4-24-2-222000000000000000000002i2−2i20000−i2−i2i2i2000000000-44-442-400-24-242-422-2-200000000000000000000−2i22i20000i2i2−i2−i2000000000
χ1064-4-444-24-44-2-42-42-22-224-22-40000000-2200000000000000000000000000-444-4-42-44-424-24-22-22-2-42-2400000002-200000000000000000000000000
χ1074-4-444-2-444-2-42-42-22-22-42-2400000002-200000000000000000000000000-444-4-424-4-424-24-22-22-24-22-40000000-2200000000000000000000000000
χ1084-4-44-244-4-242-42-4-22-22-24-420000000-2200000000000000000000000000-444-42-4-442-4-24-242-22-22-44-200000002-200000000000000000000000000
χ1094-4-44-2-24-4-2-222221-11-1-2-22200000001-13i−3i−3i3i0000000000000000000000-444-422-4422-2-2-2-2-11-1122-2-20000000-11−3i3i3i−3i0000000000000000000000
χ1104-4-44-2-24-4-2-222221-11-1-2-22200000001-1−3i3i3i−3i0000000000000000000000-444-422-4422-2-2-2-2-11-1122-2-20000000-113i−3i−3i3i0000000000000000000000
χ1114-4-44-2-2-44-2-222221-11-122-2-200023−2300-11−33−330000000000000000000000-444-4224-422-2-2-2-2-11-11-2-222000−2323001-13−33−30000000000000000000000
χ1124-4-44-2-2-44-2-222221-11-122-2-2000−232300-113−33−30000000000000000000000-444-4224-422-2-2-2-2-11-11-2-22200023−23001-1−33−330000000000000000000000
χ11388-8-8-4-40044-4-4442-2-22000000000000000000000000000000000000000-8-8884400-4-444-4-4-222-2000000000000000000000000000000000000000
χ1148-88-8-4-4004444-4-422-2-2000000000000000000000000000000000000000-88-884400-4-4-4-444-2-222000000000000000000000000000000000000000

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