Finite Group Databasebeta

← Group #11811927

Character table — Group #11811927

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order12222222334444666666666666663666666612121212121212124444441212121212121212121212121212121212121212222244444466666666121212121212121244121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-11111-1-1
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ91111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-111-1-11111-1-1-1-1
χ101111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-11111
χ111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-11111-1-111-1-1
χ121111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-111-1-111
χ131111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11111
χ141111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-111-1-1111111-1-1-1-1
χ151111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-111
χ161111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-111-1-1
χ17222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100222222220000-1-1-1-1-1-1-1-1000000-1-1-1-1000000000000
χ18222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-20000111111110000001111000000000000
χ19222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-122220000-2-211-2-211-2-21111-1-1-1-111110022-2-2-2-2220000-1-1-1-1-1-1-1-10000001111000000000000
χ20222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-122220000-2-211-2-211-2-21111-1-1-1-1111100-2-22222-2-2000011111111000000-1-1-1-1000000000000
χ21222222222-1-2-2-2-222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-200002-2-1-12211-2-2-1-1-1-111111111002222-2-2-2-20000-1-1-1-11111000000-1-111000000000000
χ22222222222-1-2-2-2-222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-200002-2-1-12211-2-2-1-1-1-11111111100-2-2-2-2222200001111-1-1-1-100000011-1-1000000000000
χ23222222222-1-2-2-2-222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-20000-2211-2-2-1-12211111111-1-1-1-10022-2-222-2-20000-1-1-1-1111100000011-1-1000000000000
χ24222222222-1-2-2-2-222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-20000-2211-2-2-1-12211111111-1-1-1-100-2-222-2-22200001111-1-1-1-1000000-1-111000000000000
χ2522222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000000-1-1-1-100000000-1-1-1-1220000-1-1-1-100000000
χ2622222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-12222-1-1-1-12222-2-2-2-211-2-2111111-1-1-1-111112200000000-1-1-1-100000000-1-1-1-1-2-20000111100000000
χ2722222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-22222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000001111000000001111-2-20000111100000000
χ2822222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-211-2-2111111-1-1-1-11111-2-2000000001111000000001111220000-1-1-1-100000000
χ2922222222-12-2-2-2-2-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-2-2-2-2111122222-222-1-1-2-211-1-1-1-111111111-2-200000000111100000000-1-1-1-12-20000-1-11100000000
χ3022222222-12-2-2-2-2-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-2-2-2-211112222-22-2-21122-1-111111111-1-1-1-1-2-200000000111100000000-1-1-1-1-22000011-1-100000000
χ3122222222-12-2-2-2-2-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-22-222-1-1-2-211-1-1-1-1111111112200000000-1-1-1-1000000001111-22000011-1-100000000
χ3222222222-12-2-2-2-2-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-22-2-21122-1-111111111-1-1-1-12200000000-1-1-1-10000000011112-20000-1-11100000000
χ3322-2-22-2-222222-2-22-2-2-2-22-2-22-2-222222-2-2-2-22222-2-222-2-222-2-20000000000000022-2-200002-20000000022-2-20000000022-2-2000000000000000000
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χ3622-2-22-2-2222-2-2222-2-2-2-22-2-22-2-222222-2-2-2-222-2-222-2-222-2-22200000000000000-2-22200002-20000000022-2-200000000-2-222000000000000000000
χ3722-2-22-2-22-1222-2-2-111112-2-22-2-2-12-1-1-11111-1-122-2-2-1-11122-2-20000−i3i300−i3i3−i3−i3i3i3-1-111−i3−i3i3i32-200000000-1-11100000000-1-111000000−i3i3−i3i300000000
χ3822-2-22-2-22-1222-2-2-111112-2-22-2-2-12-1-1-11111-1-122-2-2-1-11122-2-20000i3−i300i3−i3i3i3−i3−i3-1-111i3i3−i3−i32-200000000-1-11100000000-1-111000000i3−i3i3−i300000000
χ3922-2-22-2-22-1222-2-2-111112-2-22-2-2-12-1-1-11111-1-122-2-2-1-111-2-2220000−i3i300−i3i3−i3−i3i3i3-1-111−i3−i3i3i3-220000000011-1-10000000011-1-1000000i3−i3i3−i300000000
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χ472-22-222-2-222−2i2i−2i2i-222-2-2-22-222-22-2-22-222-2-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000−2i2i−2i2i0000000000000000000000000000000000000000002-2−2i2i00
χ482-22-222-2-222−2i2i−2i2i-222-2-2-22-222-22-2-22-222-2-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000−2i2i−2i2i000000000000000000000000000000000000000000-222i−2i00
χ492-22-2-2-222220000-22-22-2-2-22-22-2-2222-22-22-2-22000000002-22-20000000000000000000000002-2000000000022-2-200002-22-200000000002-2000000
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χ552-2-222-22-222−2i2i2i−2i-2-2-222-2-222-222-2-22-2-2-2222-2−2i2i2i−2i−2i2i2i−2i000000000000000000−2i2i2i−2i000000002-2−2i2i000000000000000000002-2−2i2i000000000000
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χ8344-4-44-4-44-2-2-4-444-22222-222-222-2-2-211-1-1-1-11122-2-222-2-2000000002i3−2i300−2i32i3−i3−i3i3i3-1-111i3i3−i3−i300000000000000000000000000000000000000000000
χ8444-4-4-444-44400004-444-4444-4-4-4-4-4-444-444-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8544-4-4-444-44-200004-444-4-2-2-2222-42-4-2-22-2-2222000000000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000
χ8644-4-4-444-44-200004-444-4-2-2-2222-42-4-2-22-2-22220000000000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000
χ8744-4-4-444-4-240000-22-2-22444-4-4-42-42-2-22-2-222200000000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ8844-4-4-444-4-240000-22-2-22444-4-4-42-42-2-22-2-2222000000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ894-44-444-4-44-24i−4i4i−4i-444-4-42-22-2-2242-4-22-2-222-22−2i2i−2i2i4i−4i4i−4i000000000000000000−2i2i−2i2i000000000000000000000000000000000000000000000000
χ904-44-444-4-44-2−4i4i−4i4i-444-4-42-22-2-2242-4-22-2-222-222i−2i2i−2i−4i4i−4i4i0000000000000000002i−2i2i−2i000000000000000000000000000000000000000000000000
χ914-44-444-4-4-244i−4i4i−4i2-2-222-44-444-4-2-42-22-2-222-224i−4i4i−4i−2i2i−2i2i000000000000000000−2i2i−2i2i000000000000000000000000000000000000000000000000
χ924-44-444-4-4-24−4i4i−4i4i2-2-222-44-444-4-2-42-22-2-222-22−4i4i−4i4i2i−2i2i−2i0000000000000000002i−2i2i−2i000000000000000000000000000000000000000000000000
χ934-44-444-4-4-2-24i−4i4i−4i2-2-2222-22-2-22-2221-111-1-11-1−2i2i−2i2i−2i2i−2i2i000000000000003-3-33i−ii−i3i−3i−3i3i00000000000000000000000000000000000000000000
χ944-44-444-4-4-2-24i−4i4i−4i2-2-2222-22-2-22-2221-111-1-11-1−2i2i−2i2i−2i2i−2i2i00000000000000-333-3i−ii−i−3i3i3i−3i00000000000000000000000000000000000000000000
χ954-44-444-4-4-2-2−4i4i−4i4i2-2-2222-22-2-22-2221-111-1-11-12i−2i2i−2i2i−2i2i−2i000000000000003-3-33−ii−ii−3i3i3i−3i00000000000000000000000000000000000000000000
χ964-44-444-4-4-2-2−4i4i−4i4i2-2-2222-22-2-22-2221-111-1-11-12i−2i2i−2i2i−2i2i−2i00000000000000-333-3−ii−ii3i−3i−3i3i00000000000000000000000000000000000000000000
χ974-44-4-4-4444-20000-44-44-422-22-22-4-24-22-22-222-20000000000000000000000000000000000004-40000000000-2-22200000000000000000000000000
χ984-44-4-4-4444-20000-44-44-422-22-22-4-24-22-22-222-2000000000000000000000000000000000000-44000000000022-2-200000000000000000000000000
χ994-44-4-4-444-2400002-22-22-4-44-44-424-2-22-22-222-2000000004-44-400000000000000000000000000000000000000000000-22-22000000000000000000
χ1004-44-4-4-444-2400002-22-22-4-44-44-424-2-22-22-222-200000000-44-44000000000000000000000000000000000000000000002-22-2000000000000000000
χ1014-4-444-44-4-244i−4i−4i4i222-2-2-4-444-44-2-42-2222-2-2-224i−4i−4i4i−2i2i2i−2i000000000000000000−2i2i2i−2i000000000000000000000000000000000000000000000000
χ1024-4-444-44-4-24−4i4i4i−4i222-2-2-4-444-44-2-42-2222-2-2-22−4i4i4i−4i2i−2i−2i2i0000000000000000002i−2i−2i2i000000000000000000000000000000000000000000000000
χ1034-4-444-44-4-2-24i−4i−4i4i222-2-222-2-22-2-2221-1-1-1111-1−2i2i2i−2i−2i2i2i−2i000000−2i32i30023−2300i3−i3i3−i3i−i−ii−33−3300000000000000000000000000000000000000000000
χ1044-4-444-44-4-2-24i−4i−4i4i222-2-222-2-22-2-2221-1-1-1111-1−2i2i2i−2i−2i2i2i−2i0000002i3−2i300−232300−i3i3−i3i3i−i−ii3−33−300000000000000000000000000000000000000000000
χ1054-4-444-44-4-2-2−4i4i4i−4i222-2-222-2-22-2-2221-1-1-1111-12i−2i−2i2i2i−2i−2i2i000000−2i32i300−232300i3−i3i3−i3−iii−i3−33−300000000000000000000000000000000000000000000
χ1064-4-444-44-4-2-2−4i4i4i−4i222-2-222-2-22-2-2221-1-1-1111-12i−2i−2i2i2i−2i−2i2i0000002i3−2i30023−2300−i3i3−i3i3−iii−i−33−3300000000000000000000000000000000000000000000
χ1074-4-44-44-444-20000-4-44-442-2222-2-4-24-222-22-22-20000000000000000000000000000000000000000004-400000000-22-220000000000000000000000
χ1084-4-44-44-444-20000-4-44-442-2222-2-4-24-222-22-22-2000000000000000000000000000000000000000000-44000000002-22-20000000000000000000000
χ1094-4-44-44-44-24000022-22-2-44-4-4-4424-2-222-22-22-2000000004-4-4400000000000000000000000000000000000000000000-222-2000000000000000000
χ1104-4-44-44-44-24000022-22-2-44-4-4-4424-2-222-22-22-200000000-444-4000000000000000000000000000000000000000000002-2-22000000000000000000
χ1118888-8-8-8-8-4-40000-4-444-4-4444-4-4444222-2-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-888-8-4-40000-44-4-44-4-4-444444422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-8-888-4-400004-44-4444-44-444-4-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-88-4-4000044-44-44-4444-44-4-42-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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