Finite Group Databasebeta

← Group #11812856

Character table — Group #11812856

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222244444444444444444444666666668888888888888888888881212121212121212121212121212121212121212121212122424242424242424242436363636363672
order12222222336666666666666634444666666612121212121212122222444441212121212121212121212121212121212121212224444446666121212121212121212121212246666121212124444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111111111111111111111111111-1-111111111111-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1
χ6111111111111111111111111111-1-111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111111111111-1-1-111-1-1-1-111-1-1-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1
χ91111111111111111111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1-1-1-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-11111-1-111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-11
χ17222222222-122-1-1-1-1-12-12222-1-12222-1-1-1-1-1-1-12222-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122000022-1-1-1-10000-1-1-1-1000020-1-1-1-100000000000
χ18222222222-122-1-1-1-1-12-12222-1-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-21111000011110000-20111100000000000
χ19222222222-122-1-1-1-1-12-12222-1-122-2-2-1-1-1-1-1-1-12222111122220000-2-1-1-2-211-2-21111-1-1-1-11111220000-2-2-1-1-1-1000011110000-20-1-11100000000000
χ20222222222-122-1-1-1-1-12-12222-1-122-2-2-1-1-1-1-1-1-122221111-2-2-2-20000-2-1-1-2-211-2-21111-1-1-1-11111-2-200002211110000-1-1-1-100002011-1-100000000000
χ21222222222-122-1-1-1-1-12-12222-1-1-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122220000-211-2-21122-1-1-1-111111111-2-2000022-1-1-1-10000-1-1-1-10000-20111100000000000
χ22222222222-122-1-1-1-1-12-12222-1-1-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2-20000-211-2-21122-1-1-1-111111111220000-2-2111100001111000020-1-1-1-100000000000
χ23222222222-122-1-1-1-1-12-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-211112222000021122-1-1-2-211111111-1-1-1-1-2-20000-2-2-1-1-1-10000111100002011-1-100000000000
χ24222222222-122-1-1-1-1-12-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2000021122-1-1-2-211111111-1-1-1-12200002211110000-1-1-1-10000-20-1-11100000000000
χ2522222222-12-1-122222-12-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1222200002222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222000000-1-1-1-10000-1-1-1-1020000-1-1-1-10000000
χ2622222222-12-1-122222-12-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-2222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000001111000011110-2000011110000000
χ2722222222-12-1-122222-12-1-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200002222-22211-2-2111111-1-1-1-111110022-2-2000000-1-1-1-10000-1-1-1-10-2000011110000000
χ2822222222-12-1-122222-12-1-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-22211-2-2111111-1-1-1-1111100-2-222000000111100001111020000-1-1-1-10000000
χ2922222222-12-1-122222-12-1-1-1-12-1-2-222-1-1-1-1-1-1-11111222200002222-2-2-211-2-2-1-1-1-1-1-11111111100-2-22200000011110000-1-1-1-10-20000-1-1110000000
χ3022222222-12-1-122222-12-1-1-1-12-1-2-222-1-1-1-1-1-1-1111122220000-2-2-2-2-2-2-211-2-2-1-1-1-1-1-1111111110022-2-2000000-1-1-1-10000111102000011-1-10000000
χ3122222222-12-1-122222-12-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2000022222-2-2-1-1221111111111-1-1-1-100-2-2-2-200000011110000-1-1-1-102000011-1-10000000
χ3222222222-12-1-122222-12-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-22-2-2-1-1221111111111-1-1-1-1002222000000-1-1-1-1000011110-20000-1-1110000000
χ33222-2-2-22-2222-222-2-2-2222-2-2-2-22000022-2-2-2-220000000022-2-22i2i−2i−2i0000000000000000000000000000022-2-2000000002i2i−2i−2i0000000000002i−2i000
χ34222-2-2-22-2222-222-2-2-2222-2-2-2-22000022-2-2-2-220000000022-2-2−2i−2i2i2i0000000000000000000000000000022-2-200000000−2i−2i2i2i000000000000−2i2i000
χ35222-2-2-22-2222-222-2-2-2222-2-2-2-22000022-2-2-2-2200000000-2-2222i2i−2i−2i00000000000000000000000000000-2-222000000002i2i−2i−2i000000000000−2i2i000
χ36222-2-2-22-2222-222-2-2-2222-2-2-2-22000022-2-2-2-2200000000-2-222−2i−2i2i2i00000000000000000000000000000-2-22200000000−2i−2i2i2i0000000000002i−2i000
χ372-222-22-2-222-22-2-222-222-22-2-2-220000-2-222-2-22000000002-22-20000000000000000000000000002i−2i00002-22-22i2i−2i−2i00000000000000000000002i−2i0
χ382-222-22-2-222-22-2-222-222-22-2-2-220000-2-222-2-22000000002-22-2000000000000000000000000000−2i2i00002-22-2−2i−2i2i2i0000000000000000000000−2i2i0
χ392-222-22-2-222-22-2-222-222-22-2-2-220000-2-222-2-2200000000-22-220000000000000000000000000002i−2i0000-22-222i2i−2i−2i0000000000000000000000−2i2i0
χ402-222-22-2-222-22-2-222-222-22-2-2-220000-2-222-2-2200000000-22-22000000000000000000000000000−2i2i0000-22-22−2i−2i2i2i00000000000000000000002i−2i0
χ412-22-22-2-2222-2-2-2-2-2-2222-2-222222-200-2-2-2-222222-2-200002-2-22000002-2000000000022-2-200002-20000002-2-22000000000000002-20000000000000
χ422-22-22-2-2222-2-2-2-2-2-2222-2-222222-200-2-2-2-222222-2-20000-222-2000002-2000000000022-2-20000-22000000-222-200000000000000-220000000000000
χ432-22-22-2-2222-2-2-2-2-2-2222-2-22222-2200-2-2-2-2222-2-22200002-2-2200000-220000000000-2-2220000-220000002-2-2200000000000000-220000000000000
χ442-22-22-2-2222-2-2-2-2-2-2222-2-22222-2200-2-2-2-2222-2-2220000-222-200000-220000000000-2-22200002-2000000-222-2000000000000002-20000000000000
χ452-22-22-2-222-1-2-21111-12-1-2-222-1-12-2001111-1-1-122-2-2−i3−i3i3i32-2-2200000-1100−i3i300−i3−i3i3i3-1-111−i3−i3i3i32-2000000-111-10000−i3−i3i3i3000000-11−i3i300000000000
χ462-22-22-2-222-1-2-21111-12-1-2-222-1-12-2001111-1-1-122-2-2−i3−i3i3i3-222-200000-1100−i3i300−i3−i3i3i3-1-111−i3−i3i3i3-220000001-1-110000i3i3−i3−i30000001-1i3−i300000000000
χ472-22-22-2-222-1-2-21111-12-1-2-222-1-12-2001111-1-1-122-2-2i3i3−i3−i32-2-2200000-1100i3−i300i3i3−i3−i3-1-111i3i3−i3−i32-2000000-111-10000i3i3−i3−i3000000-11i3−i300000000000
χ482-22-22-2-222-1-2-21111-12-1-2-222-1-12-2001111-1-1-122-2-2i3i3−i3−i3-222-200000-1100i3−i300i3i3−i3−i3-1-111i3i3−i3−i3-220000001-1-110000−i3−i3i3i30000001-1−i3i300000000000
χ492-22-22-2-222-1-2-21111-12-1-2-222-1-1-22001111-1-1-1-2-222−i3−i3i3i32-2-22000001-100i3−i300−i3−i3i3i311-1-1i3i3−i3−i3-22000000-111-10000−i3−i3i3i30000001-1i3−i300000000000
χ502-22-22-2-222-1-2-21111-12-1-2-222-1-1-22001111-1-1-1-2-222−i3−i3i3i3-222-2000001-100i3−i300−i3−i3i3i311-1-1i3i3−i3−i32-20000001-1-110000i3i3−i3−i3000000-11−i3i300000000000
χ512-22-22-2-222-1-2-21111-12-1-2-222-1-1-22001111-1-1-1-2-222i3i3−i3−i32-2-22000001-100−i3i300i3i3−i3−i311-1-1−i3−i3i3i3-22000000-111-10000i3i3−i3−i30000001-1−i3i300000000000
χ522-22-22-2-222-1-2-21111-12-1-2-222-1-1-22001111-1-1-1-2-222i3i3−i3−i3-222-2000001-100−i3i300i3i3−i3−i311-1-1−i3−i3i3i32-20000001-1-110000−i3−i3i3i3000000-11i3−i300000000000
χ532-2-222-22-222-2-22-22-22-2-2222-2-2200002-22-22-2-20000000000002i−2i2i−2i0000000000000000000000000002i−2i000000002i−2i2i−2i2i−2i2i−2i00000000002-200000
χ542-2-222-22-222-2-22-22-22-2-2222-2-2200002-22-22-2-20000000000002i−2i2i−2i000000000000000000000000000−2i2i00000000−2i2i−2i2i2i−2i2i−2i0000000000-2200000
χ552-2-222-22-222-2-22-22-22-2-2222-2-2200002-22-22-2-2000000000000−2i2i−2i2i0000000000000000000000000002i−2i000000002i−2i2i−2i−2i2i−2i2i0000000000-2200000
χ562-2-222-22-222-2-22-22-22-2-2222-2-2200002-22-22-2-2000000000000−2i2i−2i2i000000000000000000000000000−2i2i00000000−2i2i−2i2i−2i2i−2i2i00000000002-200000
χ572-2-2-2-222222-222-2-22-2-2-22-2-2222002-22-2-22-22-200002-22-200002-2-2200000002-22-22-20000000000002-2000000000000002-2-220000002-2000000000
χ582-2-2-2-222222-222-2-22-2-2-22-2-2222002-22-2-22-22-200002-22-20000-222-200000002-22-22-2000000000000-2200000000000000-222-2000000-22000000000
χ592-2-2-2-222222-222-2-22-2-2-22-2-222200-222-2-22-22-20000-22-2200002-2-220000000-22-22-22000000000000-22000000000000002-2-22000000-22000000000
χ602-2-2-2-222222-222-2-22-2-2-22-2-222200-222-2-22-22-20000-22-220000-222-20000000-22-22-220000000000002-200000000000000-222-20000002-2000000000
χ612-2-2-2-2222-121-12-2-22-21-2-111-12-1002-2-111-11-113−33−32-22-200002-2-220003−300-11-11-113−33−33−33−300002-20000003−33−30000-111-1000000-113−30000000
χ622-2-2-2-2222-121-12-2-22-21-2-111-12-1002-2-111-11-113−33−32-22-20000-222-20003−300-11-11-113−33−33−33−30000-22000000−33−3300001-1-110000001-1−330000000
χ632-2-2-2-2222-121-12-2-22-21-2-111-12-1002-2-111-11-11−33−332-22-200002-2-22000−3300-11-11-11−33−33−33−3300002-2000000−33−330000-111-1000000-11−330000000
χ642-2-2-2-2222-121-12-2-22-21-2-111-12-1002-2-111-11-11−33−332-22-20000-222-2000−3300-11-11-11−33−33−33−330000-220000003−33−300001-1-110000001-13−30000000
χ652-2-2-2-2222-121-12-2-22-21-2-111-12-100-22-111-11-113−33−3-22-2200002-2-22000−33001-11-11-13−33−3−33−330000-220000003−33−30000-111-10000001-1−330000000
χ662-2-2-2-2222-121-12-2-22-21-2-111-12-100-22-111-11-113−33−3-22-220000-222-2000−33001-11-11-13−33−3−33−3300002-2000000−33−3300001-1-11000000-113−30000000
χ672-2-2-2-2222-121-12-2-22-21-2-111-12-100-22-111-11-11−33−33-22-2200002-2-220003−3001-11-11-1−33−333−33−30000-22000000−33−330000-111-10000001-13−30000000
χ682-2-2-2-2222-121-12-2-22-21-2-111-12-100-22-111-11-11−33−33-22-220000-222-20003−3001-11-11-1−33−333−33−300002-20000003−33−300001-1-11000000-11−330000000
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χ7144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-44411111112222-2-2-2-200000000-4222222-2-21111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
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χ7944-44-4-4-444-24-42-2-222-42-44-44-2-200002-2-222-2200002i3−2i3−2i32i3000000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000
χ8044-44-4-4-44-24-22-444-4-42-42-22-24-200002-2-222-2223−23−2323000000000000000000000000023−23−2323000000000000000000000000000000000000000000000
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χ8644-4-444-4-44444-44-444-4-4-4-44-4-440000-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-444-4-44-2442-22-2-2-42-4-44-42-200002-22-2-2220000000000000000000000000000000000000000000000000000023−23−2323000000000000000000000
χ8844-4-444-4-44-2442-22-2-2-42-4-44-42-200002-22-2-22200000000000000000000000000000000000000000000000000000−232323−23000000000000000000000
χ8944-4-444-4-4-24-2-2-44-4442-422-22-4-200002-22-2-2220000000000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ9044-4-444-4-4-24-2-2-44-4442-422-22-4-200002-22-2-22200000000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ914-444-44-4-44-2-4422-2-224-2-44-4-42-2000022-2-222-2000000004-44-4000000000000000000000000000000000-22-2200000000000000000000000000000
χ924-444-44-4-44-2-4422-2-224-2-44-4-42-2000022-2-222-200000000-44-440000000000000000000000000000000002-22-200000000000000000000000000000
χ934-444-44-4-4-242-2-4-444-4-242-222-4-2000022-2-222-20000000000000000000000000000000000000004i−4i00000000−2i−2i2i2i0000000000000000000000000
χ944-444-44-4-4-242-2-4-444-4-242-222-4-2000022-2-222-2000000000000000000000000000000000000000−4i4i000000002i2i−2i−2i0000000000000000000000000
χ954-44-44-4-44-2422-4-4-4-44-2422-2-24-24-4002222-2-2-2-2-22200000000000004-40000000000-2-222000000000000000000000000000000000000000000000
χ964-44-44-4-44-2422-4-4-4-44-2422-2-24-2-44002222-2-2-222-2-20000000000000-44000000000022-2-2000000000000000000000000000000000000000000000
χ974-44-44-4-44-2-2222222-2-2-222-2-2-214-400-1-1-1-1111-2-222−2i3−2i32i32i3000000000-2200−2i32i300i3i3−i3−i311-1-1i3i3−i3−i300000000000000000000000000000000000000000
χ984-44-44-4-44-2-2222222-2-2-222-2-2-214-400-1-1-1-1111-2-2222i32i3−2i3−2i3000000000-22002i3−2i300−i3−i3i3i311-1-1−i3−i3i3i300000000000000000000000000000000000000000
χ994-44-44-4-44-2-2222222-2-2-222-2-2-21-4400-1-1-1-111122-2-2−2i3−2i32i32i30000000002-2002i3−2i300i3i3−i3−i3-1-111−i3−i3i3i300000000000000000000000000000000000000000
χ1004-44-44-4-44-2-2222222-2-2-222-2-2-21-4400-1-1-1-111122-2-22i32i3−2i3−2i30000000002-200−2i32i300−i3−i3i3i3-1-111i3i3−i3−i300000000000000000000000000000000000000000
χ1014-4-444-44-44-2-4-4-22-22-2-42444-42-20000-22-22-22200000000000000000000000000000000000000000004i−4i00000000−2i2i−2i2i000000000000000000000
χ1024-4-444-44-44-2-4-4-22-22-2-42444-42-20000-22-22-2220000000000000000000000000000000000000000000−4i4i000000002i−2i2i−2i000000000000000000000
χ1034-4-444-44-4-24224-44-442-4-2-2-22-4-20000-22-22-2220000000000004i−4i4i−4i00000000000000000000000000000000000000000−2i2i−2i2i00000000000000000
χ1044-4-444-44-4-24224-44-442-4-2-2-22-4-20000-22-22-222000000000000−4i4i−4i4i000000000000000000000000000000000000000002i−2i2i−2i00000000000000000
χ1054-4-4-4-44444-2-44-222-22-424-4-44-2-2004-4-222-22-220000-22-220000000000000004-4-22-220000000000000000000000000000000000000000000000000
χ1064-4-4-4-44444-2-44-222-22-424-4-44-2-200-44-222-22-2200002-22-2000000000000000-442-22-20000000000000000000000000000000000000000000000000
χ1074-4-4-4-4444-2-22-2-222-2222-222-2-21004-41-1-11-11-123−2323−23-22-220000000000023−2300-221-11-1−33−33−33−3300000000000000000000000000000000000000000
χ1084-4-4-4-4444-2-22-2-222-2222-222-2-21004-41-1-11-11-1−2323−2323-22-2200000000000−232300-221-11-13−33−33−33−300000000000000000000000000000000000000000
χ1094-4-4-4-4444-2-22-2-222-2222-222-2-2100-441-1-11-11-123−2323−232-22-200000000000−2323002-2-11-11−33−333−33−300000000000000000000000000000000000000000
χ1104-4-4-4-4444-2-22-2-222-2222-222-2-2100-441-1-11-11-1−2323−23232-22-20000000000023−23002-2-11-113−33−3−33−3300000000000000000000000000000000000000000
χ111888-8-8-88-8-4-4-44-4-4444-4-4-444442000022-2-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-888-8-8-4-4-4-44-44-4-44444-44420000-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-88-8-8-4-44-444-4-44-4-44-444420000-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-888-88-8-4-444-44-44-444-4-4-444200002-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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