Finite Group Databasebeta

← Group #11812892

Character table — Group #11812892

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222244444444444444444444666666668888888888888888888881212121212121212121212121212121212121212121212122424242424242424242436363636363672
order12222222336666666666666634444666666612121212121212122222444441212121212121212121212121212121212121212224444446666121212121212121212121212246666121212124444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-1-1-111-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-1111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1
χ6111111111111111111111111111-1-11111111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1111
χ7111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1111111-1-1-1-1111
χ8111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1
χ91111111111111111111111111-1-11111111111111-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1
χ101111111111111111111111111-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-11
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-11-1-1-1-111-1-1-1-111-1-11
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-11111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11
χ17222222222-122-1-1-1222-1-12-1-12-12222-1-1-1-1-1-1-12222-1-1-1-122220000222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-100000200-1-1-1-1000000000
χ18222222222-122-1-1-1222-1-12-1-12-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-20000222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011110000111100000-2001111000000000
χ19222222222-122-1-1-1222-1-12-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122220000-22211-2-211-1-1-1-111111111-2-2002200-1-1-1-10000-1-1-1-100000-2001111000000000
χ20222222222-122-1-1-1222-1-12-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2-20000-22211-2-211-1-1-1-1111111112200-2-20011110000111100000200-1-1-1-1000000000
χ21222222222-122-1-1-1222-1-12-1-12-1-2-222-1-1-1-1-1-1-12222111122220000-2-2-2-1-1-2-2111111-1-1-1-111112200-2-200-1-1-1-10000111100000-200-1-111000000000
χ22222222222-122-1-1-1222-1-12-1-12-1-2-222-1-1-1-1-1-1-122221111-2-2-2-20000-2-2-2-1-1-2-2111111-1-1-1-11111-2-200220011110000-1-1-1-10000020011-1-1000000000
χ23222222222-122-1-1-1222-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111222200002-2-21122-1-111111111-1-1-1-1-2-200-2-200-1-1-1-1000011110000020011-1-1000000000
χ24222222222-122-1-1-1222-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-200002-2-21122-1-111111111-1-1-1-12200220011110000-1-1-1-100000-200-1-111000000000
χ2522222222-12-1-1222-1-1-122-122-1-12222-1-1-1-1-1-1-1-1-1-1-12222000022222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-120-1-10000-1-10000000
χ2622222222-12-1-1222-1-1-122-122-1-12222-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-22-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000111100001111-20110000110000000
χ2722222222-12-1-1222-1-1-122-122-1-122-2-2-1-1-1-1-1-1-11111222200002222-2-1-1-2-211-2-2-1-1-1-11111111100-2-20022000011110000-1-1-1-1-20110000-1-10000000
χ2822222222-12-1-1222-1-1-122-122-1-122-2-2-1-1-1-1-1-1-1111122220000-2-2-2-2-2-1-1-2-211-2-2-1-1-1-111111111002200-2-20000-1-1-1-10000111120-1-10000110000000
χ2922222222-12-1-1222-1-1-122-122-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200002222-2112211-2-21111-1-1-1-11111002200-2-20000-1-1-1-10000-1-1-1-1-20110000110000000
χ3022222222-12-1-1222-1-1-122-122-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-2112211-2-21111-1-1-1-1111100-2-20022000011110000111120-1-10000-1-10000000
χ3122222222-12-1-1222-1-1-122-122-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-200002222211-2-2-1-12211111111-1-1-1-100-2-200-2-2000011110000-1-1-1-120-1-10000110000000
χ3222222222-12-1-1222-1-1-122-122-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-2211-2-2-1-12211111111-1-1-1-1002200220000-1-1-1-100001111-20110000-1-10000000
χ3322-2-2-222-2222-22-2-222-22-2-2-22-2200002-2-2-222-20000000022-2-22i2i−2i−2i0000000000000000000000000000022-2-2000000002i2i−2i−2i00000000002i−2i00000
χ3422-2-2-222-2222-22-2-222-22-2-2-22-2200002-2-2-222-20000000022-2-2−2i−2i2i2i0000000000000000000000000000022-2-200000000−2i−2i2i2i0000000000−2i2i00000
χ3522-2-2-222-2222-22-2-222-22-2-2-22-2200002-2-2-222-200000000-2-2222i2i−2i−2i00000000000000000000000000000-2-222000000002i2i−2i−2i0000000000−2i2i00000
χ3622-2-2-222-2222-22-2-222-22-2-2-22-2200002-2-2-222-200000000-2-222−2i−2i2i2i00000000000000000000000000000-2-22200000000−2i−2i2i2i00000000002i−2i00000
χ372-222-2-22-222-22-2-2-22-2222-22-2-220000-22-2-22-22000000002-22-20000000000000000000000000002i−2i00002-22-22i2i−2i−2i00000000000000000000002i−2i0
χ382-222-2-22-222-22-2-2-22-2222-22-2-220000-22-2-22-22000000002-22-2000000000000000000000000000−2i2i00002-22-2−2i−2i2i2i0000000000000000000000−2i2i0
χ392-222-2-22-222-22-2-2-22-2222-22-2-220000-22-2-22-2200000000-22-220000000000000000000000000002i−2i0000-22-222i2i−2i−2i0000000000000000000000−2i2i0
χ402-222-2-22-222-22-2-2-22-2222-22-2-220000-22-2-22-2200000000-22-22000000000000000000000000000−2i2i0000-22-22−2i−2i2i2i00000000000000000000002i−2i0
χ412-22-2-22-2222-2-2-22-2-222-22-2-22220000-2-22-2-2220000000000002-22-200000000000000000000000002-2000000000022-2-22-22-20000000000002-2000
χ422-22-2-22-2222-2-2-22-2-222-22-2-22220000-2-22-2-2220000000000002-22-20000000000000000000000000-220000000000-2-2222-22-2000000000000-22000
χ432-22-2-22-2222-2-2-22-2-222-22-2-22220000-2-22-2-222000000000000-22-2200000000000000000000000002-2000000000022-2-2-22-22000000000000-22000
χ442-22-2-22-2222-2-2-22-2-222-22-2-22220000-2-22-2-222000000000000-22-220000000000000000000000000-220000000000-2-222-22-220000000000002-2000
χ452-2-2222-2-222-22-2-22-22-2-2-2222-222-200-22-22-22-2000022-2-200002i−2i−2i2i02-200000022-2-2000000000000002i−2i0000000000002i−2i−2i2i000000002i−2i0000000
χ462-2-2222-2-222-22-2-22-22-2-2-2222-222-200-22-22-22-2000022-2-20000−2i2i2i−2i02-200000022-2-200000000000000−2i2i000000000000−2i2i2i−2i00000000−2i2i0000000
χ472-2-2222-2-222-22-2-22-22-2-2-2222-22-2200-22-22-22-20000-2-22200002i−2i−2i2i0-22000000-2-22200000000000000−2i2i0000000000002i−2i−2i2i00000000−2i2i0000000
χ482-2-2222-2-222-22-2-22-22-2-2-2222-22-2200-22-22-22-20000-2-2220000−2i2i2i−2i0-22000000-2-222000000000000002i−2i000000000000−2i2i2i−2i000000002i−2i0000000
χ492-2-2222-2-2-121-1-2-221-11-2-2-1221-12-2001-11-11-1133−3−322-2-200002i−2i−2i2i0-11003−300-1-11133−3−333−3−30000002i−2i0000−i3i3−i3i30000−iii−i00−i3i30000−ii0000000
χ502-2-2222-2-2-121-1-2-221-11-2-2-1221-12-2001-11-11-1133−3−322-2-20000−2i2i2i−2i0-11003−300-1-11133−3−333−3−3000000−2i2i0000i3−i3i3−i30000i−i−ii00i3−i30000i−i0000000
χ512-2-2222-2-2-121-1-2-221-11-2-2-1221-12-2001-11-11-11−3−33322-2-200002i−2i−2i2i0-1100−3300-1-111−3−333−3−3330000002i−2i0000i3−i3i3−i30000−iii−i00i3−i30000−ii0000000
χ522-2-2222-2-2-121-1-2-221-11-2-2-1221-12-2001-11-11-11−3−33322-2-20000−2i2i2i−2i0-1100−3300-1-111−3−333−3−333000000−2i2i0000−i3i3−i3i30000i−i−ii00−i3i30000i−i0000000
χ532-2-2222-2-2-121-1-2-221-11-2-2-1221-1-22001-11-11-1133−3−3-2-22200002i−2i−2i2i01-100−330011-1-133−3−3−3−333000000−2i2i0000−i3i3−i3i30000−iii−i00i3−i30000i−i0000000
χ542-2-2222-2-2-121-1-2-221-11-2-2-1221-1-22001-11-11-1133−3−3-2-2220000−2i2i2i−2i01-100−330011-1-133−3−3−3−3330000002i−2i0000i3−i3i3−i30000i−i−ii00−i3i30000−ii0000000
χ552-2-2222-2-2-121-1-2-221-11-2-2-1221-1-22001-11-11-11−3−333-2-22200002i−2i−2i2i01-1003−30011-1-1−3−33333−3−3000000−2i2i0000i3−i3i3−i30000−iii−i00−i3i30000i−i0000000
χ562-2-2222-2-2-121-1-2-221-11-2-2-1221-1-22001-11-11-11−3−333-2-2220000−2i2i2i−2i01-1003−30011-1-1−3−33333−3−30000002i−2i0000−i3i3−i3i30000i−i−ii00i3−i30000−ii0000000
χ572-2-2-22-22222-2-2-2222-2-22-22-2-222002-2-2-2222-2-22-22-200002-2-2200000002-2000000002-22-200002-20000002-2-2200000000000000002-200000000000
χ582-2-2-22-22222-2-2-2222-2-22-22-2-222002-2-2-2222-2-22-22-20000-222-200000002-2000000002-22-20000-22000000-222-20000000000000000-2200000000000
χ592-2-2-22-22222-2-2-2222-2-22-22-2-22200-22-2-2222-2-2-22-2200002-2-220000000-2200000000-22-220000-220000002-2-220000000000000000-2200000000000
χ602-2-2-22-22222-2-2-2222-2-22-22-2-22200-22-2-2222-2-2-22-220000-222-20000000-2200000000-22-2200002-2000000-222-200000000000000002-200000000000
χ612-2-2-22-2222-1-2-21-1-12-2-2-112112-1002-211-1-1-1112-22-23−33−32-2-220000000-11003−33−33−3-11-113−33−32-2000000-111-100003−33−300000000-113−3000000000
χ622-2-2-22-2222-1-2-21-1-12-2-2-112112-1002-211-1-1-1112-22-23−33−3-222-20000000-11003−33−33−3-11-113−33−3-220000001-1-110000−33−33000000001-1−33000000000
χ632-2-2-22-2222-1-2-21-1-12-2-2-112112-1002-211-1-1-1112-22-2−33−332-2-220000000-1100−33−33−33-11-11−33−332-2000000-111-10000−33−3300000000-11−33000000000
χ642-2-2-22-2222-1-2-21-1-12-2-2-112112-1002-211-1-1-1112-22-2−33−33-222-20000000-1100−33−33−33-11-11−33−33-220000001-1-1100003−33−3000000001-13−3000000000
χ652-2-2-22-2222-1-2-21-1-12-2-2-112112-100-2211-1-1-111-22-223−33−32-2-2200000001-100−333−33−31-11-1−33−33-22000000-111-100003−33−3000000001-1−33000000000
χ662-2-2-22-2222-1-2-21-1-12-2-2-112112-100-2211-1-1-111-22-223−33−3-222-200000001-100−333−33−31-11-1−33−332-20000001-1-110000−33−3300000000-113−3000000000
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χ81444-44-4-4-4-2-2-22-22-222-22-2-2222100001-1-11-1-11−232323−23−232323−23000000000000000003−3−333−3−333-3-3300000000000000000000000000000000000000000
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χ9044-4-4-444-4-24-224-4-4-2-224-42-442-20000-2222-2-22000000000000−4i−4i4i4i000000000000000000000000000000000000000002i2i−2i−2i00000000000000000
χ914-444-4-44-44-2-442224-44-2-2-4-22-4-200002-222-22-2000000004-44-4000000000000000000000000000000000-22-2200000000000000000000000000000
χ924-444-4-44-44-2-442224-44-2-2-4-22-4-200002-222-22-200000000-44-440000000000000000000000000000000002-22-200000000000000000000000000000
χ934-444-4-44-4-242-2-4-4-4-22-24424-42-200002-222-22-20000000000000000000000000000000000000004i−4i00000000−2i−2i2i2i0000000000000000000000000
χ944-444-4-44-4-242-2-4-4-4-22-24424-42-200002-222-22-2000000000000000000000000000000000000000−4i4i000000002i2i−2i−2i0000000000000000000000000
χ954-44-4-44-444-2-4-42-22-4442-2-42-24-2000022-222-2-2000000000000000000000000000000000000000004-40000000000-2-222000000000000000000000
χ964-44-4-44-444-2-4-42-22-4442-2-42-24-2000022-222-2-200000000000000000000000000000000000000000-44000000000022-2-2000000000000000000000
χ974-44-4-44-44-2422-44-42-2-2-442-44-2-2000022-222-2-20000000000004-44-400000000000000000000000000000000000000000-22-2200000000000000000
χ984-44-4-44-44-2422-44-42-2-2-442-44-2-2000022-222-2-2000000000000-44-44000000000000000000000000000000000000000002-22-200000000000000000
χ994-4-4444-4-44-2-4422-2-44-4224-2-2-4-24-4002-22-22-220000-2-2220000000004-4000000-2-2220000000000000000000000000000000000000000000000000
χ1004-4-4444-4-44-2-4422-2-44-4224-2-2-4-2-44002-22-22-22000022-2-2000000000-4400000022-2-20000000000000000000000000000000000000000000000000
χ1014-4-4444-4-4-2-22-222-22-2222-2-2-2214-400-11-11-11-12323−23−23-2-222000000000-220023−230011-1-1−3−333−3−33300000000000000000000000000000000000000000
χ1024-4-4444-4-4-2-22-222-22-2222-2-2-2214-400-11-11-11-1−23−232323-2-222000000000-2200−23230011-1-133−3−333−3−300000000000000000000000000000000000000000
χ1034-4-4444-4-4-2-22-222-22-2222-2-2-221-4400-11-11-11-12323−23−2322-2-20000000002-200−232300-1-111−3−33333−3−300000000000000000000000000000000000000000
χ1044-4-4444-4-4-2-22-222-22-2222-2-2-221-4400-11-11-11-1−23−23232322-2-20000000002-20023−2300-1-11133−3−3−3−33300000000000000000000000000000000000000000
χ1054-4-4-44-444-2422-444-2224-4-2-4-4-2-2004-422-2-2-222-22-220000000000000004-400000000-22-22000000000000000000000000000000000000000000000
χ1064-4-4-44-444-2422-444-2224-4-2-4-4-2-200-4422-2-2-2222-22-2000000000000000-44000000002-22-2000000000000000000000000000000000000000000000
χ1074-4-4-44-444-2-2222-2-2-222-22-222-21004-4-1-1111-1-1-22-2223−2323−2300000000000-220023−23−33−331-11-1−33−3300000000000000000000000000000000000000000
χ1084-4-4-44-444-2-2222-2-2-222-22-222-21004-4-1-1111-1-1-22-22−2323−232300000000000-2200−23233−33−31-11-13−33−300000000000000000000000000000000000000000
χ1094-4-4-44-444-2-2222-2-2-222-22-222-2100-44-1-1111-1-12-22-223−2323−23000000000002-200−2323−33−33-11-113−33−300000000000000000000000000000000000000000
χ1104-4-4-44-444-2-2222-2-2-222-22-222-2100-44-1-1111-1-12-22-2−2323−2323000000000002-20023−233−33−3-11-11−33−3300000000000000000000000000000000000000000
χ11188-88-8-8-88-4-4-4-4-4-44444444-44-420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-888-8-4-4-44-444-4-44-4444-44200002-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-88-8-4-44-4444-44-4-4-44-44420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-88-88-4-4444-444-4-44-444-4-420000-2-22-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000

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