Finite Group Databasebeta

← Group #11865444

Character table — Group #11865444

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222444444446688888888888121212121212121212121212122424242424363636361111222222222244444444668888888888812121212121212121212121212242424242436363636
order12223344666666366612121212442666666661212444881212121224242424266121222882222664466666666661212121244266666666121244488121212122424242426612122288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-111
χ51111111111111111111111-1-111111111111-11111-1-1-1-11111-1-1-111-1-1-1-11111111111111111111111-1-111111111111-11111-1-1-1-11111-1-1-111-1-1-1-1
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
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111111-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111111-1-111-1-1
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χ354444-24-4-4-2-2444-2-2-2-2-22-4-42000000000002200000000000000000000004444-24-4-4-2-2444-2-2-2-2-22-4-4200000000000220000000000000000000000
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χ4544-4-4-2-2-442-2-22221-1-1122-2-200000003-3-33-11000000000000000000000044-4-4-2-2-442-2-22221-1-1122-2-200000003-3-33-110000000000000000000000
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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
χ59111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111111
χ60111111111111111111111111-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111-1-1-1-11111111-1-1-1-111
χ61111111111111111111111111-1-1-1-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1
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χ651111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111-1-11111-1-1-1-1-1-1-111-1-111
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χ8522-2-2-122-21-12-2-21-111-1-12-21000−i3i300−i3i3−i3i3-110−2i2i000000−3−333000i−i0000-2-2221-2-22-11-222-11-1-111-22-1000i3−i300i3−i3i3−i31-102i−2i00000033−3−3000−ii0000
χ8622-2-2-122-21-12-2-21-111-1-12-21000i3−i300i3−i3i3−i3-1102i−2i000000−3−333000−ii0000-2-2221-2-22-11-222-11-1-111-22-1000−i3i300−i3i3−i3i31-10−2i2i00000033−3−3000i−i0000
χ8722-2-2-122-21-12-2-21-111-1-12-21000i3−i300i3−i3i3−i3-110−2i2i00000033−3−3000i−i0000-2-2221-2-22-11-222-11-1-111-22-1000−i3i300−i3i3−i3i31-102i−2i000000−3−333000−ii0000
χ882-2-222200-2-2-22-2222-2-200002-2000000000000002−22-2002−22−200000002−2-222-2-2-200222-22-2-2-2220000-2200000000000000−22-2200−22−220000000−22
χ892-2-222200-2-2-22-2222-2-200002-200000000000000−222-200−22−220000000−22-222-2-2-200222-22-2-2-2220000-22000000000000002−2-22002−22−200000002−2
χ902-2-222200-2-2-22-2222-2-20000-22000000000000002−2-22002−22−20000000−22-222-2-2-200222-22-2-2-22200002-200000000000000−222-200−22−2200000002−2
χ912-2-222200-2-2-22-2222-2-20000-2200000000000000−22-2200−22−2200000002−2-222-2-2-200222-22-2-2-22200002-2000000000000002−22-2002−22−20000000−22
χ924444-24-4-4-2-2444-2-2-2-2-22-4-4200000000000220000000000000000000000-4-4-4-42-44422-4-4-422222-244-200000000000-2-20000000000000000000000
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
χ944444-2-244-2-2-2-2-2-21111-2-2-2-200-42222-1-1-1-1110000000000000000000000-4-4-4-422-4-4222222-1-1-1-12222004-2-2-2-21111-1-10000000000000000000000
χ954444-2-2-4-4-2-2-2-2-2-21111222200000−2i32i3i3i3−i3−i3-1-10000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-2000002i3−2i3−i3−i3i3i3110000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-211112222000002i3−2i3−i3−i3i3i3-1-10000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-200000−2i32i3i3i3−i3−i3110000000000000000000000
χ9744-4-44-24-4-44-222-4-222-24-22-400000000000-220000000000000000000000-4-444-42-444-42-2-242-2-22-42-24000000000002-20000000000000000000000
χ9844-4-44-2-44-44-222-4-222-2-42-24000000000002-20000000000000000000000-4-444-424-44-42-2-242-2-224-22-400000000000-220000000000000000000000
χ9944-4-4-24-442-24-4-42-222-22-44-2000000000002-20000000000000000000000-4-4442-44-4-22-444-22-2-22-24-4200000000000-220000000000000000000000
χ10044-4-4-2-24-42-2-22221-1-11-2-222000−2i32i300i3−i3i3−i31-10000000000000000000000-4-44422-44-222-2-2-2-111-122-2-20002i3−2i300−i3i3−i3i3-110000000000000000000000
χ10144-4-4-2-24-42-2-22221-1-11-2-2220002i3−2i300−i3i3−i3i31-10000000000000000000000-4-44422-44-222-2-2-2-111-122-2-2000−2i32i300i3−i3i3−i3-110000000000000000000000
χ10244-4-4-2-2-442-2-22221-1-1122-2-200000003-3-33-110000000000000000000000-4-444224-4-222-2-2-2-111-1-2-2220000000-333-31-10000000000000000000000
χ10344-4-4-2-2-442-2-22221-1-1122-2-20000000-333-3-110000000000000000000000-4-444224-4-222-2-2-2-111-1-2-22200000003-3-331-10000000000000000000000
χ1044-44-444004-4-4-44-44-44-4000000000000000000000000000000000000000-44-44-4-400-4444-44-44-44000000000000000000000000000000000000000
χ1054-44-44-2004-422-2-4-22-22000000000000000000000000−2i32i30000000000000-44-44-4200-44-2-2242-22-20000000000000000000000002i3−2i30000000000000
χ1064-44-44-2004-422-2-4-22-220000000000000000000000002i3−2i30000000000000-44-44-4200-44-2-2242-22-2000000000000000000000000−2i32i30000000000000
χ1074-44-4-2400-22-4-442-22-22000000000000000000000000006−6−66000000000-44-442-4002-244-4-22-22-200000000000000000000000000−666−6000000000
χ1084-44-4-2400-22-4-442-22-2200000000000000000000000000−666−6000000000-44-442-4002-244-4-22-22-2000000000000000000000000006−6−66000000000
χ1094-4-444-200-4-42-224-2-22200004-40000000000000000-22000000000000000-444-4-420044-22-2-422-2-20000-4400000000000000002-2000000000000000
χ1104-4-444-200-4-42-224-2-2220000-4400000000000000002-2000000000000000-444-4-420044-22-2-422-2-200004-40000000000000000-22000000000000000
χ1114-4-44-240022-44-4-2-2-2220000000000000000000022−220000−22−22000000000-444-42-400-2-24-44222-2-200000000000000000000−222200002−22−2000000000
χ1124-4-44-240022-44-4-2-2-22200000000000000000000−222200002−22−2000000000-444-42-400-2-24-44222-2-20000000000000000000022−220000−22−22000000000
χ1138-88-8-4-400-4444-442-22-2000000000000000000000000000000000000000-88-8844004-4-4-44-4-22-22000000000000000000000000000000000000000
χ1148-8-88-4-400444-44-422-2-2000000000000000000000000000000000000000-888-84400-4-4-44-44-2-222000000000000000000000000000000000000000

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