Finite Group Databasebeta

← Group #11819182

Character table — Group #11819182

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212122222412121212121212121212121212121212121212121212444444444466661212121244444412121212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-111-1-111-1-111-1-11
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-11111-1-11
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-111-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-111-1-11111-1-111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-11111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-111111111-1
χ17222222222-122-1-12-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-122-1-12-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000111111110000-2011110000000000000
χ19222222222-122-1-12-1-122-1-122-1-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-2221111-2-2-2-2-1-1-1-1111111110022-2-20000-1-1-1-1-1-1-1-10000-2011110000000000000
χ20222222222-122-1-12-1-122-1-122-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2221111-2-2-2-2-1-1-1-11111111100-2-222000011111111000020-1-1-1-10000000000000
χ21222222222-122-1-12-1-122-1-122-1-1-2-222-1-1-1-1-1-1-111112222-2-2-2-1-11122-2-21111-1-1-1-1111100-2-2220000-1-1-1-111110000-20-1-1110000000000000
χ22222222222-122-1-12-1-122-1-122-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-1-11122-2-21111-1-1-1-111110022-2-200001111-1-1-1-100002011-1-10000000000000
χ23222222222-122-1-12-1-122-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-211-1-1-2-22211111111-1-1-1-100-2-2-2-20000-1-1-1-1111100002011-1-10000000000000
χ24222222222-122-1-12-1-122-1-122-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-1-1-2-22211111111-1-1-1-100222200001111-1-1-1-10000-20-1-1110000000000000
χ2522222222-12-1-122-122-1-122-1-12-12222-1-1-1-1-1-1-1222200002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200002222000000000000020000-1-1-1-1-1-1-1-100000
χ2622222222-12-1-122-122-1-122-1-12-12222-1-1-1-1-1-1-1222200002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-20000000000000-200001111111100000
χ2722222222-12-1-122-122-1-122-1-12-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-2-2-21111-1-1-1-111111111220000-2-2-2-2000000000000020000-1-111-1-11100000
χ2822222222-12-1-122-122-1-122-1-12-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-2-2-21111-1-1-1-111111111-2-2000022220000000000000-2000011-1-111-1-100000
χ2922222222-12-1-122-122-1-122-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21122-2-2-1-1111111-1-1-1-1111122000022-2-20000000000000-20000-1-11111-1-100000
χ3022222222-12-1-122-122-1-122-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21122-2-2-1-1111111-1-1-1-11111-2-20000-2-22200000000000002000011-1-1-1-11100000
χ3122222222-12-1-122-122-1-122-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-22211-1-111111111-1-1-1-1220000-2-2220000000000000-20000-1-1-1-1111100000
χ3222222222-12-1-122-122-1-122-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-22211-1-111111111-1-1-1-1-2-2000022-2-20000000000000200001111-1-1-1-100000
χ3322-22-2-22-2222-2-2-222-2-2-22-22-22200002-2-2-222-2000022-2-2000000000000000000000002i−2i0000000022-2-2000000000000002i−2i0000002i−2i000
χ3422-22-2-22-2222-2-2-222-2-2-22-22-22200002-2-2-222-2000022-2-200000000000000000000000−2i2i0000000022-2-200000000000000−2i2i000000−2i2i000
χ3522-22-2-22-2222-2-2-222-2-2-22-22-22200002-2-2-222-20000-2-222000000000000000000000002i−2i00000000-2-222000000000000002i−2i000000−2i2i000
χ3622-22-2-22-2222-2-2-222-2-2-22-22-22200002-2-2-222-20000-2-22200000000000000000000000−2i2i00000000-2-22200000000000000−2i2i0000002i−2i000
χ3722-2-2-22-2222222-2-2-2-22-222-2-2-220000222-2-2-2-20000000000000000000000000000000002i−2i00002-200002i2i−2i−2i2i2i−2i−2i000000002-2000000000
χ3822-2-2-22-2222222-2-2-2-22-222-2-2-220000222-2-2-2-20000000000000000000000000000000002i−2i0000-2200002i2i−2i−2i−2i−2i2i2i00000000-22000000000
χ3922-2-2-22-2222222-2-2-2-22-222-2-2-220000222-2-2-2-2000000000000000000000000000000000−2i2i00002-20000−2i−2i2i2i−2i−2i2i2i000000002-2000000000
χ4022-2-2-22-2222222-2-2-2-22-222-2-2-220000222-2-2-2-2000000000000000000000000000000000−2i2i0000-220000−2i−2i2i2i2i2i−2i−2i00000000-22000000000
χ412-222-2-2-2222-2-2222-2-222-2-2-2-222002i−2i-22-222-2-200002-22-20002i−2i002i−2i0000002i2i−2i−2i000000002i−2i00002-22-200000000002i−2i000000000000000
χ422-222-2-2-2222-2-2222-2-222-2-2-2-222002i−2i-22-222-2-20000-22-220002i−2i002i−2i0000002i2i−2i−2i00000000−2i2i0000-22-220000000000−2i2i000000000000000
χ432-222-2-2-2222-2-2222-2-222-2-2-2-22200−2i2i-22-222-2-200002-22-2000−2i2i00−2i2i000000−2i−2i2i2i00000000−2i2i00002-22-20000000000−2i2i000000000000000
χ442-222-2-2-2222-2-2222-2-222-2-2-2-22200−2i2i-22-222-2-20000-22-22000−2i2i00−2i2i000000−2i−2i2i2i000000002i−2i0000-22-2200000000002i−2i000000000000000
χ452-222-2-2-222-1-2-2-1-12112211-2-2-1-1002i−2i1-11-1-111−i3−i3i3i32-22-2000−ii3−32i−2i00−i3−i3i3i3−i−iii33−3−300002i−2i0000-11-11−i3i3−i3i3000000−ii3−30000000000000
χ462-222-2-2-222-1-2-2-1-12112211-2-2-1-1002i−2i1-11-1-111−i3−i3i3i3-22-22000−ii3−32i−2i00−i3−i3i3i3−i−iii33−3−30000−2i2i00001-11-1i3−i3i3−i3000000i−i−330000000000000
χ472-222-2-2-222-1-2-2-1-12112211-2-2-1-1002i−2i1-11-1-111i3i3−i3−i32-22-2000−ii−332i−2i00i3i3−i3−i3−i−iii−3−33300002i−2i0000-11-11i3−i3i3−i3000000−ii−330000000000000
χ482-222-2-2-222-1-2-2-1-12112211-2-2-1-1002i−2i1-11-1-111i3i3−i3−i3-22-22000−ii−332i−2i00i3i3−i3−i3−i−iii−3−3330000−2i2i00001-11-1−i3i3−i3i3000000i−i3−30000000000000
χ492-222-2-2-222-1-2-2-1-12112211-2-2-1-100−2i2i1-11-1-111−i3−i3i3i32-22-2000i−i−33−2i2i00−i3−i3i3i3ii−i−i−3−3330000−2i2i0000-11-11−i3i3−i3i3000000i−i−330000000000000
χ502-222-2-2-222-1-2-2-1-12112211-2-2-1-100−2i2i1-11-1-111−i3−i3i3i3-22-22000i−i−33−2i2i00−i3−i3i3i3ii−i−i−3−33300002i−2i00001-11-1i3−i3i3−i3000000−ii3−30000000000000
χ512-222-2-2-222-1-2-2-1-12112211-2-2-1-100−2i2i1-11-1-111i3i3−i3−i32-22-2000i−i3−3−2i2i00i3i3−i3−i3ii−i−i33−3−30000−2i2i0000-11-11i3−i3i3−i3000000i−i3−30000000000000
χ522-222-2-2-222-1-2-2-1-12112211-2-2-1-100−2i2i1-11-1-111i3i3−i3−i3-22-22000i−i3−3−2i2i00i3i3−i3−i3ii−i−i33−3−300002i−2i00001-11-1−i3i3−i3i3000000−ii−330000000000000
χ532-22-2-222-222-22-22-22-2-22-222-2-222i−2i00-2-222-22-22i−2i2i−2i000002i−2i000000002i−2i2i−2i000000000000000000000000002-22-200000000000000002i−2i0
χ542-22-2-222-222-22-22-22-2-22-222-2-222i−2i00-2-222-22-22i−2i2i−2i000002i−2i000000002i−2i2i−2i00000000000000000000000000-22-220000000000000000−2i2i0
χ552-22-2-222-222-22-22-22-2-22-222-2-22−2i2i00-2-222-22-2−2i2i−2i2i00000−2i2i00000000−2i2i−2i2i000000000000000000000000002-22-20000000000000000−2i2i0
χ562-22-2-222-222-22-22-22-2-22-222-2-22−2i2i00-2-222-22-2−2i2i−2i2i00000−2i2i00000000−2i2i−2i2i00000000000000000000000000-22-2200000000000000002i−2i0
χ572-2-2222-2-222-22-2-22-22-2-2-22-22220000-2-22-22-2200002-2-22000000000000000000000000000002i−2i002-2-2200002i−2i−2i2i0000000000002i−2i00000
χ582-2-2222-2-222-22-2-22-22-2-2-22-22220000-2-22-22-2200002-2-2200000000000000000000000000000−2i2i002-2-220000−2i2i2i−2i000000000000−2i2i00000
χ592-2-2222-2-222-22-2-22-22-2-2-22-22220000-2-22-22-220000-222-2000000000000000000000000000002i−2i00-222-20000−2i2i2i−2i0000000000002i−2i00000
χ602-2-2222-2-222-22-2-22-22-2-2-22-22220000-2-22-22-220000-222-200000000000000000000000000000−2i2i00-222-200002i−2i−2i2i000000000000−2i2i00000
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-200004-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-41111111-2-2-2-20000-4-2-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444111111122220000-422-2-222-2-222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-411111112222000042222-2-222-2-2-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000
χ65444-44-4-4-4444-4-44-4-44-444-4-44-4400004-4-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000
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χ67444-44-4-4-44-24-42-2-42-2-44-22-442-20000-222-222-2−232323−23000000000000000−232323−230000000000000000000000000000000000000000000000000
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χ864-444-4-4-44-2-222-2-2-222-2-22222-2100−4i4i-11-111-1-1−2i3−2i32i32i300000002i−2i−23232i−2i00i3i3−i3−i3−i−iii33−3−300000000000000000000000000000000000000000
χ874-444-4-4-44-2-222-2-2-222-2-22222-2100−4i4i-11-111-1-12i32i3−2i3−2i300000002i−2i23−232i−2i00−i3−i3i3i3−i−iii−3−33300000000000000000000000000000000000000000
χ884-44-4-444-44-2-442-2-4-22-442-24-42-24i−4i0022-2-22-22−2i2i−2i2i000004i−4i00000000−2i2i−2i2i0000000000000000000000000000000000000000000000000
χ894-44-4-444-44-2-442-2-4-22-442-24-42-2−4i4i0022-2-22-222i−2i2i−2i00000−4i4i000000002i−2i2i−2i0000000000000000000000000000000000000000000000000
χ904-44-4-444-4-242-2-4424-42-2-44-22-4-24i−4i0022-2-22-224i−4i4i−4i00000−2i2i00000000−2i2i−2i2i0000000000000000000000000000000000000000000000000
χ914-44-4-444-4-242-2-4424-42-2-44-22-4-2−4i4i0022-2-22-22−4i4i−4i4i000002i−2i000000002i−2i2i−2i0000000000000000000000000000000000000000000000000
χ924-44-4-444-4-2-22-22-22-222-22-2-22214i−4i00-1-111-11-1−2i2i−2i2i00000−2i2i00000000i−ii−i3i−3i−3i3i3-3-3300000000000000000000000000000000000000000
χ934-44-4-444-4-2-22-22-22-222-22-2-22214i−4i00-1-111-11-1−2i2i−2i2i00000−2i2i00000000i−ii−i−3i3i3i−3i-333-300000000000000000000000000000000000000000
χ944-44-4-444-4-2-22-22-22-222-22-2-2221−4i4i00-1-111-11-12i−2i2i−2i000002i−2i00000000−ii−ii3i−3i−3i3i-333-300000000000000000000000000000000000000000
χ954-44-4-444-4-2-22-22-22-222-22-2-2221−4i4i00-1-111-11-12i−2i2i−2i000002i−2i00000000−ii−ii−3i3i3i−3i3-3-3300000000000000000000000000000000000000000
χ964-4-4444-4-44-2-442242-2-4-42-2-44-2-2000022-22-22-200004-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ974-4-4444-4-44-2-442242-2-4-42-2-44-2-2000022-22-22-20000-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ984-4-4444-4-4-242-2-4-4-2-4422-442-24-2000022-22-22-200000000000000000000000000000000000004i−4i00000000000000000000000000−2i2i00000
χ994-4-4444-4-4-242-2-4-4-2-4422-442-24-2000022-22-22-20000000000000000000000000000000000000−4i4i000000000000000000000000002i−2i00000
χ1004-4-4-44-44444-4-44-4-4444-4-4-444-440000-44-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-44-4444-2-4-4-22-4-2-24-422442-200002-2222-2-200000000000000000000000000000000000000000000023−23−232300000000000000000000000
χ1024-4-4-44-4444-2-4-4-22-4-2-24-422442-200002-2222-2-2000000000000000000000000000000000000000000000−232323−2300000000000000000000000
χ1034-4-4-44-444-24224-4244-22-4-4-2-2-4-200002-2222-2-2000000000000000000000000000000000000000000000000000000000000000−2i32i30000000
χ1044-4-4-44-444-24224-4244-22-4-4-2-2-4-200002-2222-2-20000000000000000000000000000000000000000000000000000000000000002i3−2i30000000
χ10588-88-8-88-8-4-4-4444-4-4444-44-44-4200002-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-4-4-44444-44-4-444420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-8888-8-8-4-44-444-44-4444-44-4-420000-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-444-444-4-4-4444-4-4420000-22-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000

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