Finite Group Databasebeta

← Group #11873297

Character table — Group #11873297

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222444444444444444444444444444444446666888888888888888881212121212121212121212121212121212121212121212122424242424242436364848727272
order12223344666666234444466666666666121212121212121212121212121244441212121212121212121212121212121212444444881212121212121212121212121212121244824242424881212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11
χ611111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1
χ711111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-111111111-1-111111-1-1-1-111-1
χ811111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-11
χ911111111111111-11-111-1-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1111111-111-1-111-1-11111-1-1-1-1-111-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-1111-11-1-1
χ1011111111111111-11-111-1-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1111111-111-1-111-1-11111-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-111-1-1-11-111
χ1111111111111111-11-111-1-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-11-1-111
χ1211111111111111-11-111-1-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-1111-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-111-1-1
χ1311111111111111-11-1-1-111-1-1-1-111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-111-1-111-11-11-1
χ1411111111111111-11-1-1-111-1-1-1-111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11-1-111-1-11-11-11
χ1511111111111111-11-1-1-111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-11-111-1-1-1-1-111-11
χ1611111111111111-11-1-1-111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-111111-1-11-1
χ17222222-2-222222222-2000022222222222-2-2-2-200000000-2-222-2-2-20000-2-2-2-200000000-2002000022-2-222-2-20000000000000000000000
χ18222222-2-222222222-2000022222222222-2-2-2-200000000-2-2-2-222-20000-2-2-2-200000000200-20000-2-222-2-2220000000000000000000000
χ19222222-2-2222222-2220000-2-2-2-222-2-2-2-22-2-22200000000-2-222-2-220000-2-22200000000200-2000022-2-2-2-2220000000000000000000000
χ20222222-2-2222222-2220000-2-2-2-222-2-2-2-22-2-22200000000-2-2-2-22220000-2-22200000000-20020000-2-22222-2-20000000000000000000000
χ2122222-12222-12-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-122222200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-12222-12-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200111111111111111100000000000000
χ2322222-12222-12-1-12-12-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1111111112222222-2-2-2-2-1-1-1-1111111112-2-22-2-200-1-1-1-1-1-1-1-11111111100000000000000
χ2422222-12222-12-1-12-12-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-11111111122-2-2-2-22-2-2-2-2-1-1-1-111111111-222-2220011111111-1-1-1-1-1-1-1-100000000000000
χ2522222-12222-12-1-1-2-1-222-2-2-2-211-1-11111-1-1-111-1-1-1-11111222222-222-2-2-1-111-1-1-1-11111-222-2-2-200-1-1-1-11111-1-1-1-1111100000000000000
χ2622222-12222-12-1-1-2-1-222-2-2-2-211-1-11111-1-1-111-1-1-1-1111122-2-2-2-2-222-2-2-1-111-1-1-1-111112-2-2222001111-1-1-1-11111-1-1-1-100000000000000
χ2722222-12222-12-1-1-2-1-2-2-222-2-211-1-11111-1-1-1111111-1-1-1-1222222-2-2-222-1-1111111-1-1-1-1-2-2-2-22200-1-1-1-111111111-1-1-1-100000000000000
χ2822222-12222-12-1-1-2-1-2-2-222-2-211-1-11111-1-1-1111111-1-1-1-122-2-2-2-2-2-2-222-1-1111111-1-1-1-12222-2-2001111-1-1-1-1-1-1-1-1111100000000000000
χ2922222-1-2-222-12-1-12-1-2000022-1-1-1-1-1-1-1-1-11111−i3−i3i3i3−i3−i3i3i3-2-222-2-2-200001111−i3−i3i3i3−i3−i3i3i3-20020000-1-111-1-111−i3−i3i3i3−i3−i3i3i300000000000000
χ3022222-1-2-222-12-1-12-1-2000022-1-1-1-1-1-1-1-1-11111−i3−i3i3i3−i3−i3i3i3-2-2-2-222-200001111−i3−i3i3i3−i3−i3i3i3200-2000011-1-111-1-1i3i3−i3−i3i3i3−i3−i300000000000000
χ3122222-1-2-222-12-1-12-1-2000022-1-1-1-1-1-1-1-1-11111i3i3−i3−i3i3i3−i3−i3-2-222-2-2-200001111i3i3−i3−i3i3i3−i3−i3-20020000-1-111-1-111i3i3−i3−i3i3i3−i3−i300000000000000
χ3222222-1-2-222-12-1-12-1-2000022-1-1-1-1-1-1-1-1-11111i3i3−i3−i3i3i3−i3−i3-2-2-2-222-200001111i3i3−i3−i3i3i3−i3−i3200-2000011-1-111-1-1−i3−i3i3i3−i3−i3i3i300000000000000
χ3322222-1-2-222-12-1-1-2-120000-2-211-1-11111-111-1-1−i3−i3i3i3i3i3−i3−i3-2-222-2-22000011-1-1−i3−i3i3i3i3i3−i3−i3200-20000-1-11111-1-1−i3−i3i3i3i3i3−i3−i300000000000000
χ3422222-1-2-222-12-1-1-2-120000-2-211-1-11111-111-1-1−i3−i3i3i3i3i3−i3−i3-2-2-2-2222000011-1-1−i3−i3i3i3i3i3−i3−i3-2002000011-1-1-1-111i3i3−i3−i3−i3−i3i3i300000000000000
χ3522222-1-2-222-12-1-1-2-120000-2-211-1-11111-111-1-1i3i3−i3−i3−i3−i3i3i3-2-222-2-22000011-1-1i3i3−i3−i3−i3−i3i3i3200-20000-1-11111-1-1i3i3−i3−i3−i3−i3i3i300000000000000
χ3622222-1-2-222-12-1-1-2-120000-2-211-1-11111-111-1-1i3i3−i3−i3−i3−i3i3i3-2-2-2-2222000011-1-1i3i3−i3−i3−i3−i3i3i3-2002000011-1-1-1-111−i3−i3i3i3i3i3−i3−i300000000000000
χ372222-1222-1-12-1222-122222-1-122-1-1-1-1-1-1-1222222222222-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000220000000000000000222-1-1-1-100-1-1000
χ382222-1222-1-12-1222-122222-1-122-1-1-1-1-1-1-1222222222222-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-20000000000000000-2-2-211110011000
χ392222-1222-1-12-1222-12-2-2-2-2-1-122-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-10000-11111-1-1-1-111111111000000220000000000000000-2-22-1-1-1-10011000
χ402222-1222-1-12-1222-12-2-2-2-2-1-122-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-10000-11111-1-1-1-111111111000000-2-2000000000000000022-2111100-1-1000
χ412222-1222-1-12-122-2-1-222-2-211-2-2-1-11111-122-2-22222-2-2-2-2-1-100001-1-111-1-111-1-1-1-111110000002200000000000000002-2-2-1-11100-11000
χ422222-1222-1-12-122-2-1-222-2-211-2-2-1-11111-122-2-22222-2-2-2-2-1-100001-1-111-1-111-1-1-1-11111000000-2-20000000000000000-22211-1-1001-1000
χ432222-1222-1-12-122-2-1-2-2-22211-2-2-1-11111-122-2-2-2-2-2-22222-1-10000111-1-1-1-1111111-1-1-1-1000000220000000000000000-22-2-1-111001-1000
χ442222-1222-1-12-122-2-1-2-2-22211-2-2-1-11111-122-2-2-2-2-2-22222-1-10000111-1-1-1-1111111-1-1-1-1000000-2-200000000000000002-2211-1-100-11000
χ452-22-2222-2-2-222-2-2020002-20000-2-2000022-20000002-22-22-22i−2i2i−2i0002-22-20000002-22-200002i−2i002i−2i2i−2i000000002i−2i2i−2i00000000000000
χ462-22-2222-2-2-222-2-2020002-20000-2-2000022-20000002-22-22-2−2i2i−2i2i0002-22-20000002-22-20000−2i2i00−2i2i−2i2i00000000−2i2i−2i2i00000000000000
χ472-22-2222-2-2-222-2-202000-220000-2-2000022-2000000-22-222-22i−2i2i−2i000-222-2000000-22-220000−2i2i002i−2i2i−2i00000000−2i2i−2i2i00000000000000
χ482-22-2222-2-2-222-2-202000-220000-2-2000022-2000000-22-222-2−2i2i−2i2i000-222-2000000-22-2200002i−2i00−2i2i−2i2i000000002i−2i2i−2i00000000000000
χ492-22-222-22-2-222-2-20202-2000000-2-200002-22002-22-20000-222i−2i−2i2i02-200-22002-22-2000002i−2i000002i−2i−2i2i00002i−2i2i−2i000000000000000000
χ502-22-222-22-2-222-2-20202-2000000-2-200002-22002-22-20000-22−2i2i2i−2i02-200-22002-22-200000−2i2i00000−2i2i2i−2i0000−2i2i−2i2i000000000000000000
χ512-22-222-22-2-222-2-2020-22000000-2-200002-2200-22-220000-222i−2i−2i2i0-2200-2200-22-2200000−2i2i000002i−2i−2i2i0000−2i2i−2i2i000000000000000000
χ522-22-222-22-2-222-2-2020-22000000-2-200002-2200-22-220000-22−2i2i2i−2i0-2200-2200-22-22000002i−2i00000−2i2i2i−2i00002i−2i2i−2i000000000000000000
χ532-22-22-12-2-2-2-12110-10002-200−i3i311−i3−i3i3i3-1-11−i3i3−i3i3i3−i3-11-112-22i−2i2i−2i0002-2-11−i3i3−i3i3i3−i3-11-1100002i−2i00−ii−ii3−33−33−3−33−ii−ii00000000000000
χ542-22-22-12-2-2-2-12110-10002-200−i3i311−i3−i3i3i3-1-11−i3i3−i3i3i3−i3-11-112-2−2i2i−2i2i0002-2-11−i3i3−i3i3i3−i3-11-110000−2i2i00i−ii−i−33−33−333−3i−ii−i00000000000000
χ552-22-22-12-2-2-2-12110-10002-200i3−i311i3i3−i3−i3-1-11i3−i3i3−i3−i3i3-11-112-22i−2i2i−2i0002-2-11i3−i3i3−i3−i3i3-11-1100002i−2i00−ii−ii−33−33−333−3−ii−ii00000000000000
χ562-22-22-12-2-2-2-12110-10002-200i3−i311i3i3−i3−i3-1-11i3−i3i3−i3−i3i3-11-112-2−2i2i−2i2i0002-2-11i3−i3i3−i3−i3i3-11-110000−2i2i00i−ii−i3−33−33−3−33i−ii−i00000000000000
χ572-22-22-12-2-2-2-12110-1000-2200−i3i311−i3−i3i3i3-1-11−i3i3i3−i3−i3i31-11-12-22i−2i2i−2i000-22-11−i3i3i3−i3−i3i31-11-10000−2i2i00−ii−ii3−33−3−333−3i−ii−i00000000000000
χ582-22-22-12-2-2-2-12110-1000-2200−i3i311−i3−i3i3i3-1-11−i3i3i3−i3−i3i31-11-12-2−2i2i−2i2i000-22-11−i3i3i3−i3−i3i31-11-100002i−2i00i−ii−i−33−333−3−33−ii−ii00000000000000
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χ602-22-22-12-2-2-2-12110-1000-2200i3−i311i3i3−i3−i3-1-11i3−i3−i3i3i3−i31-11-12-2−2i2i−2i2i000-22-11i3−i3−i3i3i3−i31-11-100002i−2i00i−ii−i3−33−3−333−3−ii−ii00000000000000
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χ672-22-22-1-22-2-2-12110-10-220000i3−i311i3i3−i3−i3-11-1−i3i31-11-1−i3i3i3−i3-222i−2i−2i2i0-22001-1−i3i31-11-1−i3i3i3−i30−2i2i00000−iii−i−333−3i−ii−i3−3−3300000000000000
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χ744444-2-244-2-2-2-2-2-2-41-4-4-444222211-1-1-1-11-2-2222222-2-2-2-2-2-20000222-2-211-1-1-1-1-1-1111100000000000000000000000000000000000000
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χ764444-2-2-4-4-2-2-2-2-2-241-40000-2-2-2-2111111122222i32i3−2i3−2i32i32i3−2i3−2i322000020000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000
χ774444-2-2-4-4-2-2-2-2-2-2-4140000222211-1-1-1-1122-2-2−2i3−2i32i32i32i32i3−2i3−2i3220000-20000-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000
χ784444-2-2-4-4-2-2-2-2-2-2-4140000222211-1-1-1-1122-2-22i32i3−2i3−2i3−2i3−2i32i32i3220000-20000-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000
χ7944-4-44400-44-4-44-4040000000004-40000-400000000000000000000000000000000000000000000000000000000000000000022−2200000
χ8044-4-44400-44-4-44-4040000000004-40000-4000000000000000000000000000000000000000000000000000000000000000000−222200000
χ814-44-4-244-4224-2-4-40-20004-40000220000-24-40000004-44-4-220000000-22-22000000-22-2200000000000000000000000000000000000000
χ824-44-4-244-4224-2-4-40-2000-440000220000-24-4000000-44-44-2200000002-2-220000002-22-200000000000000000000000000000000000000
χ834-44-4-24-44224-2-4-40-204-4000000220000-2-44004-44-400002-200000-22002-200-22-22000000000000000000000000000000000000000000
χ844-44-4-24-44224-2-4-40-20-44000000220000-2-4400-44-4400002-2000002-2002-2002-22-2000000000000000000000000000000000000000000
χ854-44-4-2-24-422-2-222010004-400−2i32i3-1-1i3i3−i3−i31-22−2i32i3−2i32i32i3−2i3-22-22-220000000-221-1i3−i3i3−i3−i3i31-11-100000000000000000000000000000000000000
χ864-44-4-2-24-422-2-222010004-4002i3−2i3-1-1−i3−i3i3i31-222i3−2i32i3−2i3−2i32i3-22-22-220000000-221-1−i3i3−i3i3i3−i31-11-100000000000000000000000000000000000000
χ874-44-4-2-24-422-2-22201000-4400−2i32i3-1-1i3i3−i3−i31-22−2i32i32i3−2i3−2i32i32-22-2-2200000002-21-1i3−i3−i3i3i3−i3-11-1100000000000000000000000000000000000000
χ884-44-4-2-24-422-2-22201000-44002i3−2i3-1-1−i3−i3i3i31-222i3−2i3−2i32i32i3−2i32-22-2-2200000002-21-1−i3i3i3−i3−i3i3-11-1100000000000000000000000000000000000000
χ894-44-4-2-2-4422-2-2220104-40000−2i32i3-1-1i3i3−i3−i312-22i3−2i3-22-22−2i32i32i3−2i32-200000-2200-11−i3i31-11-1i3−i3−i3i300000000000000000000000000000000000000
χ904-44-4-2-2-4422-2-2220104-400002i3−2i3-1-1−i3−i3i3i312-2−2i32i3-22-222i3−2i3−2i32i32-200000-2200-11i3−i31-11-1−i3i3i3−i300000000000000000000000000000000000000
χ914-44-4-2-2-4422-2-222010-440000−2i32i3-1-1i3i3−i3−i312-22i3−2i32-22-22i3−2i3−2i32i32-2000002-200-11−i3i3-11-11−i3i3i3−i300000000000000000000000000000000000000
χ924-44-4-2-2-4422-2-222010-4400002i3−2i3-1-1−i3−i3i3i312-2−2i32i32-22-2−2i32i32i3−2i32-2000002-200-11i3−i3-11-11i3−i3−i3i300000000000000000000000000000000000000
χ934-4-4444004-4-4-4-4404000000000-440000-40000000000000000000000000000000000000000022−22000000000000000000022−22000000000
χ944-4-4444004-4-4-4-4404000000000-440000-400000000000000000000000000000000000000000−22220000000000000000000−2222000000000
χ954-4-44-2400-22-42-440-200000−2i32i3002-2−2i32i3−2i32i320000000000000000000000000000000000000000022−220000000000000000000−22i6−i60000000
χ964-4-44-2400-22-42-440-200000−2i32i3002-2−2i32i3−2i32i3200000000000000000000000000000000000000000−222200000000000000000002−2−i6i60000000
χ974-4-44-2400-22-42-440-2000002i3−2i3002-22i3−2i32i3−2i320000000000000000000000000000000000000000022−220000000000000000000−22−i6i60000000
χ984-4-44-2400-22-42-440-2000002i3−2i3002-22i3−2i32i3−2i3200000000000000000000000000000000000000000−222200000000000000000002−2i6−i60000000
χ9988-8-88-400-884-8-440-4000000000-44000040000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48004-4-848-80-4000000000-44000040000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4004-444-44020000000002-26-6-66-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4004-444-44020000000002-2-666-6-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-888-4008-84-84-40-40000000004-4000040000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-400-44444-40200000−4i34i300-222i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-400-44444-402000004i3−4i300-22−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000000

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