Finite Group Databasebeta

← Group #11812996

Character table — Group #11812996

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444666666668888888888888888888888881212121212121212121212121212121224242424242424242424242424243636363636363636
order12222222336666666666666634466666661212121222224444441212121212121212121212121212121212121212121222444444666612121212246666121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-111-1-1-1-1-1-111-1-111-1-111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-111-1-1
χ91111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1
χ101111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-11111
χ111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-111
χ121111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11-1-1-111-1-11111-1-1-1-11111-1-1
χ131111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-11111-1-111-1-1-1-1-1-1-1-11111
χ141111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-1-1-111111111-1-1-1-1
χ151111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1111-1-111-1-1-1-111-1-11111-1-1
χ161111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-11-1-1-1-1111111-1-111-1-1-1-111
χ17222222222-122-1-1-1222-1-12-1-12-122-1-1-1-1-1-1-1-1-1-1-122222222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-12200-1-1-1-100000000000000
χ18222222222-122-1-1-1222-1-12-1-12-122-1-1-1-1-1-1-1-1-1-1-122222222-2-222-2-211-2-211-1-1-1-11111111100000000-1-1-1-1-1-1-1-1-2-200111100000000000000
χ19222222222-122-1-1-1222-1-12-1-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111111-2-200111100000000000000
χ20222222222-122-1-1-1222-1-12-1-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-222-2-211-2-211-1-1-1-11111111100000000111111112200-1-1-1-100000000000000
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χ2522222222-12-1-1222-1-1-122-122-1-122-1-1-1-1-1-1-122220000000022-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222220000000000-1-10000-1-1-1-1-1-100000000
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χ3122222222-12-1-1222-1-1-122-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-200000000-221111-2-2-1-12211111111-1-1-1-122-2-2-2-2220000000000-1-100001111-1-100000000
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χ4122-2-222-2-2222-22-22-2-22-222-2-2-222i−2i2-2-22-2-222i2i−2i−2i22-2-22i−2i−2i2i002i−2i000000002i2i−2i−2i000000000000000022-2-22i−2i−2i2i0000000000000000000000
χ4222-2-222-2-2222-22-22-2-22-222-2-2-222i−2i2-2-22-2-222i2i−2i−2i-2-222−2i2i2i−2i002i−2i000000002i2i−2i−2i0000000000000000-2-222−2i2i2i−2i0000000000000000000000
χ4322-2-222-2-2222-22-22-2-22-222-2-2-22−2i2i2-2-22-2-22−2i−2i2i2i22-2-2−2i2i2i−2i00−2i2i00000000−2i−2i2i2i000000000000000022-2-2−2i2i2i−2i0000000000000000000000
χ4422-2-222-2-2222-22-22-2-22-222-2-2-22−2i2i2-2-22-2-22−2i−2i2i2i-2-2222i−2i−2i2i00−2i2i00000000−2i−2i2i2i0000000000000000-2-2222i−2i−2i2i0000000000000000000000
χ4522-2-222-2-22-12-2-11-1-2-221-1211-2-12i−2i-111-111-1−i−iii22-2-22i−2i−2i2i002i−2i003−300−i3i3−i−iii33−3−3−i3−i3i3i300000000-1-111−iii−i0000−i3i33−300000000000000
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χ954-4-44-444-4-242-2-4-442-22-4-4-2442-2002-22-22-220000000000000000000023−23000000000023−23−232300000000000000000000000000000000000000
χ964-4-44-444-4-242-2-4-442-22-4-4-2442-2002-22-22-2200000000000000000000−23230000000000−232323−2300000000000000000000000000000000000000
χ974-4-44-444-4-2-22-222-22-2222-2-2-22100-11-11-11-1−2i32i32i3−2i3000000000000000023−2300i3−i3−i3i3−3i3i3i−3i−333−300000000000000000000000000000000000000
χ984-4-44-444-4-2-22-222-22-2222-2-2-22100-11-11-11-1−2i32i32i3−2i30000000000000000−232300i3−i3−i3i33i−3i−3i3i3−3−3300000000000000000000000000000000000000
χ994-4-44-444-4-2-22-222-22-2222-2-2-22100-11-11-11-12i3−2i3−2i32i3000000000000000023−2300−i3i3i3−i33i−3i−3i3i−333−300000000000000000000000000000000000000
χ1004-4-44-444-4-2-22-222-22-2222-2-2-22100-11-11-11-12i3−2i3−2i32i30000000000000000−232300−i3i3i3−i3−3i3i3i−3i3−3−3300000000000000000000000000000000000000
χ1014-4-4-44-4444-2-4-42-22-4442-2-42-24-20022-222-2-200004-4-44000000000000000000000000000000000000-222-200000000000000000000000000
χ1024-4-4-44-4444-2-4-42-22-4442-2-42-24-20022-222-2-20000-444-40000000000000000000000000000000000002-2-2200000000000000000000000000
χ1034-4-4-44-444-2422-44-42-2-2-442-44-2-20022-222-2-20000000000000000000000000000000000004-40000000000000000-22000000000000000000
χ1044-4-4-44-444-2422-44-42-2-2-442-44-2-20022-222-2-2000000000000000000000000000000000000-4400000000000000002-2000000000000000000
χ105888-8-8-88-8-4-4-44-444-4-44-4444-442002-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-8-8-88-4-4-4-4-4-44444444-44-4200222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8888-8-8-8-4-44-4444-44-4-4-44-444200-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-4444-444-4-44-444-4-4200-2-22-2-22200000000000000000000000000000000000000000000000000000000000000000000000000

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