Finite Group Databasebeta

← Group #11812896

Character table — Group #11812896

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212124444412121212121212121212121212121212121212121212224444444466661212121222224412121212121212121212121244442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1111111-1-1-1-111-1-11
χ6111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111-1-11
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1111
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111111-1-1-1-1111
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-11111-1
χ17222222222-1222-1-1-12-1-12-122-1-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-1-1-1000020-1-10000-1-1000000000
χ18222222222-1222-1-1-12-1-12-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000111111110000-2011000011000000000
χ19222222222-1222-1-1-12-1-12-122-1-122-2-2-1-1-1-1-1-1-111112222-222-1-111-2-2-2-2-1-1-1-111111111-2-2002200001111-1-1-1-10000-20110000-1-1000000000
χ20222222222-1222-1-1-12-1-12-122-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-222-1-111-2-2-2-2-1-1-1-1111111112200-2-20000-1-1-1-11111000020-1-1000011000000000
χ21222222222-1222-1-1-12-1-12-122-1-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-2-2-21111-2-2221111-1-1-1-111112200-2-20000-1-1-1-1-1-1-1-10000-2011000011000000000
χ22222222222-1222-1-1-12-1-12-122-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-21111-2-2221111-1-1-1-11111-2-20022000011111111000020-1-10000-1-1000000000
χ23222222222-1222-1-1-12-1-12-122-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-211-1-122-2-211111111-1-1-1-1-2-200-2-200001111-1-1-1-1000020-1-1000011000000000
χ24222222222-1222-1-1-12-1-12-122-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-1-122-2-211111111-1-1-1-12200220000-1-1-1-111110000-20110000-1-1000000000
χ2522222222-12-1-1-1222-122-12-1-12-12222-1-1-1-1-1-1-1222200002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220022220000000000000200-1-1-1-100-1-1-1-100000
χ2622222222-12-1-1-1222-122-12-1-12-12222-1-1-1-1-1-1-1222200002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-20000000000000-200111100111100000
χ2722222222-12-1-1-1222-122-12-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-122-2-21111-1-1-1-111111111002200-2-2-2-20000000000000200-1-1-1-100111100000
χ2822222222-12-1-1-1222-122-12-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-122-2-21111-1-1-1-11111111100-2-20022220000000000000-200111100-1-1-1-100000
χ2922222222-12-1-1-1222-122-12-1-12-1-2-222-1-1-1-1-1-1-122220000-211-2-2-2-211-1-11111-1-1-1-1111100220022-2-20000000000000-20011-1-100-1-11100000
χ3022222222-12-1-1-1222-122-12-1-12-1-2-222-1-1-1-1-1-1-122220000-211-2-2-2-211-1-11111-1-1-1-1111100-2-200-2-2220000000000000200-1-1110011-1-100000
χ3122222222-12-1-1-1222-122-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-222-1-11111111111-1-1-1-1002200-2-2220000000000000-20011-1-10011-1-100000
χ3222222222-12-1-1-1222-122-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-222-1-11111111111-1-1-1-100-2-20022-2-20000000000000200-1-11100-1-11100000
χ3322-2-22-22-2222-2-22-2-2222-2-22-2-2200002-2-2-222-200002i2i−2i−2i000000000000000000000000000002i−2i0000002i2i−2i−2i22-2-200000000002i−2i0000000
χ3422-2-22-22-2222-2-22-2-2222-2-22-2-2200002-2-2-222-200002i2i−2i−2i00000000000000000000000000000−2i2i0000002i2i−2i−2i-2-2220000000000−2i2i0000000
χ3522-2-22-22-2222-2-22-2-2222-2-22-2-2200002-2-2-222-20000−2i−2i2i2i000000000000000000000000000002i−2i000000−2i−2i2i2i-2-22200000000002i−2i0000000
χ3622-2-22-22-2222-2-22-2-2222-2-22-2-2200002-2-2-222-20000−2i−2i2i2i00000000000000000000000000000−2i2i000000−2i−2i2i2i22-2-20000000000−2i2i0000000
χ372-2222-2-2-222-22-2-22-2-22-2222-2-22002i−2i-222-22-2-22i2i−2i−2i00000000000002i−2i00002i2i−2i−2i00000000000000000000002-22-2000000000000002i−2i000
χ382-2222-2-2-222-22-2-22-2-22-2222-2-22002i−2i-222-22-2-22i2i−2i−2i00000000000002i−2i00002i2i−2i−2i0000000000000000000000-22-2200000000000000−2i2i000
χ392-2222-2-2-222-22-2-22-2-22-2222-2-2200−2i2i-222-22-2-2−2i−2i2i2i0000000000000−2i2i0000−2i−2i2i2i00000000000000000000002-22-200000000000000−2i2i000
χ402-2222-2-2-222-22-2-22-2-22-2222-2-2200−2i2i-222-22-2-2−2i−2i2i2i0000000000000−2i2i0000−2i−2i2i2i0000000000000000000000-22-22000000000000002i−2i000
χ412-22-2-222-222-222-2-222-22-22-2-2-222-200-22-22-22-200002i−2i2i−2i02-22-200000022-2-20000000000002i−2i000000002i−2i2i−2i0000000000002i−2i000000000
χ422-22-2-222-222-222-2-222-22-22-2-2-222-200-22-22-22-20000−2i2i−2i2i02-22-200000022-2-2000000000000−2i2i00000000−2i2i−2i2i000000000000−2i2i000000000
χ432-22-2-222-222-222-2-222-22-22-2-2-22-2200-22-22-22-200002i−2i2i−2i0-22-22000000-2-222000000000000−2i2i000000002i−2i2i−2i000000000000−2i2i000000000
χ442-22-2-222-222-222-2-222-22-22-2-2-22-2200-22-22-22-20000−2i2i−2i2i0-22-22000000-2-2220000000000002i−2i00000000−2i2i−2i2i0000000000002i−2i000000000
χ452-22-2-222-22-1-22211-121-1-2-1-2-21-12-2001-11-11-113−33−32i−2i2i−2i02-2-113−30000-1-1113−33−333−3−300002i−2i0000−i3−i3i3i3−ii−ii000000−i3i30000−ii000000000
χ462-22-2-222-22-1-22211-121-1-2-1-2-21-12-2001-11-11-113−33−3−2i2i−2i2i02-2-113−30000-1-1113−33−333−3−30000−2i2i0000i3i3−i3−i3i−ii−i000000i3−i30000i−i000000000
χ472-22-2-222-22-1-22211-121-1-2-1-2-21-12-2001-11-11-11−33−332i−2i2i−2i02-2-11−330000-1-111−33−33−3−33300002i−2i0000i3i3−i3−i3−ii−ii000000i3−i30000−ii000000000
χ482-22-2-222-22-1-22211-121-1-2-1-2-21-12-2001-11-11-11−33−33−2i2i−2i2i02-2-11−330000-1-111−33−33−3−3330000−2i2i0000−i3−i3i3i3i−ii−i000000−i3i30000i−i000000000
χ492-22-2-222-22-1-22211-121-1-2-1-2-21-1-22001-11-11-113−33−32i−2i2i−2i0-221-1−33000011-1-13−33−3−3−3330000−2i2i0000−i3−i3i3i3−ii−ii000000i3−i30000i−i000000000
χ502-22-2-222-22-1-22211-121-1-2-1-2-21-1-22001-11-11-113−33−3−2i2i−2i2i0-221-1−33000011-1-13−33−3−3−33300002i−2i0000i3i3−i3−i3i−ii−i000000−i3i30000−ii000000000
χ512-22-2-222-22-1-22211-121-1-2-1-2-21-1-22001-11-11-11−33−332i−2i2i−2i0-221-13−3000011-1-1−33−3333−3−30000−2i2i0000i3i3−i3−i3−ii−ii000000−i3i30000i−i000000000
χ522-22-2-222-22-1-22211-121-1-2-1-2-21-1-22001-11-11-11−33−33−2i2i−2i2i0-221-13−3000011-1-1−33−3333−3−300002i−2i0000−i3−i3i3i3i−ii−i000000i3−i30000−ii000000000
χ532-2-22-2-22222-2-2-2-22-22-222-2-22220000-2-22-2-22200002-2-2200000000000000000000000000000002-200002-2-2200000000000000002-2002-20
χ542-2-22-2-22222-2-2-2-22-22-222-2-22220000-2-22-2-22200002-2-220000000000000000000000000000000-2200002-2-220000000000000000-2200-220
χ552-2-22-2-22222-2-2-2-22-22-222-2-22220000-2-22-2-2220000-222-200000000000000000000000000000002-20000-222-200000000000000002-200-220
χ562-2-22-2-22222-2-2-2-22-22-222-2-22220000-2-22-2-2220000-222-20000000000000000000000000000000-220000-222-20000000000000000-22002-20
χ572-2-2-222-2222-2-22-2-22-22-2-2-222220000-2-2-222-2200000000000000000000000000000002-22-20000002-22-200002-2-220000002-200000000000
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χ944-44-4-444-4-2-22-2-222-2-22-22-222214-400-11-11-11-1−2323−232300000-22-22−2323000011-1-13−33−333−3−300000000000000000000000000000000000000000
χ954-44-4-444-4-2-22-2-222-2-22-22-22221-4400-11-11-11-123−2323−23000002-22-2−23230000-1-111−33−3333−3−300000000000000000000000000000000000000000
χ964-44-4-444-4-2-22-2-222-2-22-22-22221-4400-11-11-11-1−2323−2323000002-22-223−230000-1-1113−33−3−3−33300000000000000000000000000000000000000000
χ974-4-44-4-4444-2-4-4-42-2242-242-44-2-2000022-222-2-200004-4-440000000000000000000000000000000000000-222-200000000000000000000000
χ984-4-44-4-4444-2-4-4-42-2242-242-44-2-2000022-222-2-20000-444-400000000000000000000000000000000000002-2-2200000000000000000000000
χ994-4-44-4-444-24222-44-4-2-44-2-42-24-2000022-222-2-20000000000000000000000000000000000000004-4000000000000000000000000-2200000
χ1004-4-44-4-444-24222-44-4-2-44-2-42-24-2000022-222-2-2000000000000000000000000000000000000000-440000000000000000000000002-200000
χ1014-4-4-444-444-2-4-4422-2-4-22-4244-2-20000222-2-22-200000000000000000000000000000004-400000000-22-22000000000000000000000000000
χ1024-4-4-444-444-2-4-4422-2-4-22-4244-2-20000222-2-22-20000000000000000000000000000000-44000000002-22-2000000000000000000000000000
χ1034-4-4-444-44-2422-2-4-4424-42-4-2-24-20000222-2-22-20000000000000000000000000000000004-4000000000000000000000000-2200000000000
χ1044-4-4-444-44-2422-2-4-4424-42-4-2-24-20000222-2-22-2000000000000000000000000000000000-440000000000000000000000002-200000000000
χ10588-88-88-8-8-4-4-44-4-4-4-4444-44444200002-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-88-8-4-4-444-444-4-4-444-444200002-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-8-888-4-44444-44-44-4-444-4-420000-2-22-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-444-444-44-4444-4-4-420000-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000

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