Finite Group Databasebeta

← Group #11866193

Character table — Group #11866193

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222444444444444444444444444444444446666888888888888888881212121212121212121212121212121212121212121212122424242424242436364848727272
order1222334466666622344446666666121212121212121212121212121212121212224466666612121212121212121212122244446666668812121212121212121212228242424248866248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1
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
χ511111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1111-11-1-1
χ611111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-11-111
χ711111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111-1-111-1-1-1-11-1-111
χ811111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-111-1-11111-111-1-1
χ911111111111111-1-1111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-11111-1-1-111-111-1-1-1-11111-1-11111-1-1-11-111-1-111-11-11-1
χ1011111111111111-1-1111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-11111-1-1-111-111-1-1-1-1-1-111-1-11111-1-11-11-1-111-1-11-11-11
χ1111111111111111-1-1111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-11-1-1111111-1-111-1-1-1-111-11-111-1-1-1-1-111-11
χ1211111111111111-1-1111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-11-1-11111-1-1-1-111-1-1-1-1111-11-1-111111-1-11-1
χ1311111111111111-1-11-1-111-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-111-1-11111111-1-1-1-11
χ1411111111111111-1-11-1-111-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-1
χ1511111111111111-1-11-1-111-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-111-1-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-111-1
χ1611111111111111-1-11-1-111-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-111-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-11
χ17222222-2-2222222002002-20000222-222-2-2000022-2-22222-222-2-2000000-200-2-2-2-2000000-200222000000-2-2-2-200002200000000000000
χ18222222-2-2222222002002-20000222-222-2-2000022-2-22222-2-2-222000000-200-2-2-2-2000000200-2-2-200000022220000-2-200000000000000
χ19222222-2-222222200200-220000222-2-2-2-2-20000-2-222-2-2-2-2-222-2-2000000200-2-222000000200-222000000-2-2220000-2-200000000000000
χ20222222-2-222222200200-220000222-2-2-2-2-20000-2-222-2-2-2-2-2-2-222000000200-2-222000000-2002-2-200000022-2-200002200000000000000
χ2122222-122-1-1-122222-122222222-1-1-1-1-1-12222222222-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000220000000000222-1-1-1-100-1-1000
χ2222222-122-1-1-122222-122222222-1-1-1-1-1-12222222222-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-20000000000-2-2-211110011000
χ2322222-122-1-1-122222-1-2-2-2-22222-1-1-1-11122-2-2-2-2-2-2-2-21111-10000-1-1-1-1-1-1111-1-11111110000000000002200000000002-2-2-1-11100-11000
χ2422222-122-1-1-122222-1-2-2-2-22222-1-1-1-11122-2-2-2-2-2-2-2-21111-10000-1-1-1-1-1-1111-1-1111111000000000000-2-20000000000-22211-1-1001-1000
χ2522222-122-1-1-1222-2-2-122-2-2-2-2-2-2-1-1-1-111222222-2-2-2-21111-100001111111-1-1-1-111-1-1-1-1000000000000220000000000-22-2-1-111001-1000
χ2622222-122-1-1-1222-2-2-122-2-2-2-2-2-2-1-1-1-111222222-2-2-2-21111-100001111111-1-1-1-111-1-1-1-1000000000000-2-200000000002-2211-1-100-11000
χ2722222-122-1-1-1222-2-2-1-2-222-2-2-2-2-1-1-1-1-1-122-2-2-2-22222-1-1-1-1-10000111111-111-1-1-1-11111000000000000220000000000-2-22-1-1-1-10011000
χ2822222-122-1-1-1222-2-2-1-2-222-2-2-2-2-1-1-1-1-1-122-2-2-2-22222-1-1-1-1-10000111111-111-1-1-1-11111000000000000-2-2000000000022-2111100-1-1000
χ292222-1222222-1-1-122-12222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-100000000000000
χ302222-1222222-1-1-122-12222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-222-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-2-211111100111111111100000000000000
χ312222-1222222-1-1-122-1-2-2-2-2-1-1-1-1-1-1-12-2-2-1-11111111111112222222-1-1-1-1-2-2-2-1-111111122-2-2-2-2-1-1-1-1-1-100-1-11111111100000000000000
χ322222-1222222-1-1-122-1-2-2-2-2-1-1-1-1-1-1-12-2-2-1-11111111111112-2-2-2-222-1-1-1-1-2-2-2-1-1111111-2-222221111110011-1-1-1-1-1-1-1-100000000000000
χ332222-1222222-1-1-1-2-2-122-2-21111-1-1-12-2-2-1-1-1-1-1-11111111122222-2-21111-222-1-111-1-1-1-1-2-2-222-2-1-1111100-1-111-1-1-1-11100000000000000
χ342222-1222222-1-1-1-2-2-122-2-21111-1-1-12-2-2-1-1-1-1-1-1111111112-2-2-2-2-2-21111-222-1-111-1-1-1-1222-2-2211-1-1-1-10011-1-11111-1-100000000000000
χ352222-1222222-1-1-1-2-2-1-2-2221111-1-1-1222-1-11111-1-1-1-1-1-1-1-122222-2-211112-2-2-1-1-1-11111-2-22-2-22-1-1111100-1-1-1-11111-1-100000000000000
χ362222-1222222-1-1-1-2-2-1-2-2221111-1-1-1222-1-11111-1-1-1-1-1-1-1-12-2-2-2-2-2-211112-2-2-1-1-1-1111122-222-211-1-1-1-1001111-1-1-1-11100000000000000
χ372222-12-2-2222-1-1-100-1002-2−i3−i3i3i3-1-1-1-22211−i3−i3i3i3-1-111-1-1-1-1-222-2-200−i3−i3i3i3-2001111−i3−i3i3i300-2002-1-1−i3−i3i3i3001111−i3−i3i3i3-1-100000000000000
χ382222-12-2-2222-1-1-100-1002-2−i3−i3i3i3-1-1-1-22211−i3−i3i3i3-1-111-1-1-1-1-2-2-22200−i3−i3i3i3-2001111−i3−i3i3i300200-211i3i3−i3−i300-1-1-1-1i3i3−i3−i31100000000000000
χ392222-12-2-2222-1-1-100-1002-2i3i3−i3−i3-1-1-1-22211i3i3−i3−i3-1-111-1-1-1-1-222-2-200i3i3−i3−i3-2001111i3i3−i3−i300-2002-1-1i3i3−i3−i3001111i3i3−i3−i3-1-100000000000000
χ402222-12-2-2222-1-1-100-1002-2i3i3−i3−i3-1-1-1-22211i3i3−i3−i3-1-111-1-1-1-1-2-2-22200i3i3−i3−i3-2001111i3i3−i3−i300200-211−i3−i3i3i300-1-1-1-1−i3−i3i3i31100000000000000
χ412222-12-2-2222-1-1-100-100-22−i3−i3i3i3-1-1-1-2-2-211i3i3−i3−i311-1-11111-222-2-200−i3−i3i3i320011-1-1i3i3−i3−i300200-2-1-1−i3−i3i3i30011-1-1i3i3−i3−i31100000000000000
χ422222-12-2-2222-1-1-100-100-22−i3−i3i3i3-1-1-1-2-2-211i3i3−i3−i311-1-11111-2-2-22200−i3−i3i3i320011-1-1i3i3−i3−i300-200211i3i3−i3−i300-1-111−i3−i3i3i3-1-100000000000000
χ432222-12-2-2222-1-1-100-100-22i3i3−i3−i3-1-1-1-2-2-211−i3−i3i3i311-1-11111-222-2-200i3i3−i3−i320011-1-1−i3−i3i3i300200-2-1-1i3i3−i3−i30011-1-1−i3−i3i3i31100000000000000
χ442222-12-2-2222-1-1-100-100-22i3i3−i3−i3-1-1-1-2-2-211−i3−i3i3i311-1-11111-2-2-22200i3i3−i3−i320011-1-1−i3−i3i3i300-200211−i3−i3i3i300-1-111i3i3−i3−i3-1-100000000000000
χ452-2-22222-22-2-22-2-20022i−2i0000002-2-22002-22i−2i2i−2i00000000-22-22-200000002i−2i2-2002i−2i2i−2i0002i−2i02-20000002-2002i−2i2i−2i0000000000000000
χ462-2-22222-22-2-22-2-20022i−2i0000002-2-22002-22i−2i2i−2i00000000-2-22-2200000002i−2i2-2002i−2i2i−2i000−2i2i0-22000000-2200−2i2i−2i2i0000000000000000
χ472-2-22222-22-2-22-2-2002−2i2i0000002-2-22002-2−2i2i−2i2i00000000-22-22-20000000−2i2i2-200−2i2i−2i2i000−2i2i02-20000002-200−2i2i−2i2i0000000000000000
χ482-2-22222-22-2-22-2-2002−2i2i0000002-2-22002-2−2i2i−2i2i00000000-2-22-220000000−2i2i2-200−2i2i−2i2i0002i−2i0-22000000-22002i−2i2i−2i0000000000000000
χ492-2-2222-222-2-22-2-22-2200002-22-22-2-2-200-2200000000000022-2-222-22-22-2000-220000002-200002-22-22-200-220000000000000000000000
χ502-2-2222-222-2-22-2-22-2200002-22-22-2-2-200-220000000000002-222-22-22-22-2000-22000000-220000-22-22-22002-20000000000000000000000
χ512-2-2222-222-2-22-2-2-2220000-22-222-2-2-200-2200000000000022-2-22-22-22-22000-22000000-2200002-2-22-2200-220000000000000000000000
χ522-2-2222-222-2-22-2-2-2220000-22-222-2-2-200-220000000000002-222-2-22-22-22000-220000002-20000-222-22-2002-20000000000000000000000
χ532-2-22-122-22-2-2-11100-12i−2i00−i3i3i3−i3-111200-11−ii−ii3−33−333−3−3-22-22-200−i3i3i3−i302i−2i-113−3−ii−ii0002i−2i0-11−i3i3i3−i300-113−3−ii−ii3−300000000000000
χ542-2-22-122-22-2-2-11100-12i−2i00−i3i3i3−i3-111200-11−ii−ii3−33−333−3−3-2-22-2200−i3i3i3−i302i−2i-113−3−ii−ii000−2i2i01-1i3−i3−i3i3001-1−33i−ii−i−3300000000000000
χ552-2-22-122-22-2-2-11100-12i−2i00i3−i3−i3i3-111200-11−ii−ii−33−33−3−333-22-22-200i3−i3−i3i302i−2i-11−33−ii−ii0002i−2i0-11i3−i3−i3i300-11−33−ii−ii−3300000000000000
χ562-2-22-122-22-2-2-11100-12i−2i00i3−i3−i3i3-111200-11−ii−ii−33−33−3−333-2-22-2200i3−i3−i3i302i−2i-11−33−ii−ii000−2i2i01-1−i3i3i3−i3001-13−3i−ii−i3−300000000000000
χ572-2-22-122-22-2-2-11100-1−2i2i00−i3i3i3−i3-111200-11i−ii−i−33−33−3−333-22-22-200−i3i3i3−i30−2i2i-11−33i−ii−i000−2i2i0-11−i3i3i3−i300-11−33i−ii−i−3300000000000000
χ582-2-22-122-22-2-2-11100-1−2i2i00−i3i3i3−i3-111200-11i−ii−i−33−33−3−333-2-22-2200−i3i3i3−i30−2i2i-11−33i−ii−i0002i−2i01-1i3−i3−i3i3001-13−3−ii−ii3−300000000000000
χ592-2-22-122-22-2-2-11100-1−2i2i00i3−i3−i3i3-111200-11i−ii−i3−33−333−3−3-22-22-200i3−i3−i3i30−2i2i-113−3i−ii−i000−2i2i0-11i3−i3−i3i300-113−3i−ii−i3−300000000000000
χ602-2-22-122-22-2-2-11100-1−2i2i00i3−i3−i3i3-111200-11i−ii−i3−33−333−3−3-2-22-2200i3−i3−i3i30−2i2i-113−3i−ii−i0002i−2i01-1−i3i3i3−i3001-1−33−ii−ii−3300000000000000
χ612-2-22-12-222-2-2-1112-2-10000-11-11-111-2001-13−3−333−3−3333−3−322-2-222-2-11-110001-1−333−3−332-20000-11-11-11001-1−333−3−333−300000000000000
χ622-2-22-12-222-2-2-1112-2-10000-11-11-111-2001-13−3−333−3−3333−3−32-222-22-2-11-110001-1−333−3−33-2200001-11-11-100-113−3−333−3−3300000000000000
χ632-2-22-12-222-2-2-1112-2-10000-11-11-111-2001-1−333−3−333−3−3−33322-2-222-2-11-110001-13−3−333−32-20000-11-11-11001-13−3−333−3−3300000000000000
χ642-2-22-12-222-2-2-1112-2-10000-11-11-111-2001-1−333−3−333−3−3−3332-222-22-2-11-110001-13−3−333−3-2200001-11-11-100-11−333−3−333−300000000000000
χ652-2-22-12-222-2-2-111-22-100001-11-1-111-2001-13−3−33−333−3−3−33322-2-22-221-11-10001-13−33−3−33-220000-111-11-1001-13−33−3−33−3300000000000000
χ662-2-22-12-222-2-2-111-22-100001-11-1-111-2001-13−3−33−333−3−3−3332-222-2-221-11-10001-13−33−3−332-200001-1-11-1100-11−33−333−33−300000000000000
χ672-2-22-12-222-2-2-111-22-100001-11-1-111-2001-1−333−33−3−3333−3−322-2-22-221-11-10001-1−33−333−3-220000-111-11-1001-1−33−333−33−300000000000000
χ682-2-22-12-222-2-2-111-22-100001-11-1-111-2001-1−333−33−3−3333−3−32-222-2-221-11-10001-1−33−333−32-200001-1-11-1100-113−33−3−33−3300000000000000
χ6944444-2-4-4-2-2-244400-2004-40000-2-2-22-2-2-4-4000044-4-4-2-2-2-2200000000002002222000000000000000000000000000000000000000000
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χ714444-2-244-2-2-2-2-2-24414444-2-2-2-2111-2-2-2-2-2-2-2-2-2-2-2-2-21111-20000-2-21111-2-2-21111111100000000000000000000000000000000000000
χ724444-2-244-2-2-2-2-2-2441-4-4-4-4-2-2-2-2111-222-2-222222222-1-1-1-1-20000-2-2111122211-1-1-1-1-1-100000000000000000000000000000000000000
χ734444-2-244-2-2-2-2-2-2-4-4144-4-42222111-222-2-2-2-2-2-22222-1-1-1-1-2000022-1-1-1-12-2-211-1-1111100000000000000000000000000000000000000
χ744444-2-244-2-2-2-2-2-2-4-41-4-4442222111-2-2-2-2-22222-2-2-2-21111-2000022-1-1-1-1-2221111-1-1-1-100000000000000000000000000000000000000
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χ764444-2-2-4-4-2-2-2-2-2-2001004-42i32i3−2i3−2i31112-2-2222i32i3−2i3−2i3-2-22211112000000−i3−i3i3i3200-1-1-1-1−i3−i3i3i300000000000000000000000000000000000000
χ774444-2-2-4-4-2-2-2-2-2-200100-44−2i3−2i32i32i3111222222i32i3−2i3−2i322-2-2-1-1-1-12000000i3i3−i3−i3-200-1-111−i3−i3i3i300000000000000000000000000000000000000
χ784444-2-2-4-4-2-2-2-2-2-200100-442i32i3−2i3−2i311122222−2i3−2i32i32i322-2-2-1-1-1-12000000−i3−i3i3i3-200-1-111i3i3−i3−i300000000000000000000000000000000000000
χ7944-4-44400-4-44-44-400400000000-4-4400000000000000000000000000000000000000000000000000022−22000000000000022−22000000000
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χ8144-4-44-20022-2-44-400-20000000022-20−2i32i30000000000−2i32i3−2i32i3000000000000000000000000000000000022−220000000000000−22i6−i60000000
χ8244-4-44-20022-2-44-400-20000000022-20−2i32i30000000000−2i32i3−2i32i30000000000000000000000000000000000−222200000000000002−2−i6i60000000
χ8344-4-44-20022-2-44-400-20000000022-202i3−2i300000000002i3−2i32i3−2i3000000000000000000000000000000000022−220000000000000−22−i6i60000000
χ8444-4-44-20022-2-44-400-20000000022-202i3−2i300000000002i3−2i32i3−2i30000000000000000000000000000000000−222200000000000002−2i6−i60000000
χ854-44-44400-44-4-4-4400400000000-44-4000000000000000000000000000000000000000000000000000000000000000000000022−2200000
χ864-44-44400-44-4-4-4400400000000-44-40000000000000000000000000000000000000000000000000000000000000000000000−222200000
χ874-4-444-24-4-2224-4-400-24i−4i000000-222-2004-44i−4i4i−4i00000000200000000000−2i2i-2200−2i2i−2i2i00000000000000000000000000000000000000
χ884-4-444-24-4-2224-4-400-2−4i4i000000-222-2004-4−4i4i−4i4i000000002000000000002i−2i-22002i−2i2i−2i00000000000000000000000000000000000000
χ894-4-444-2-44-2224-4-44-4-200004-44-4-222200-44000000000000-20000-22-22-220002-200000000000000000000000000000000000000000000
χ904-4-444-2-44-2224-4-4-44-20000-44-44-222200-44000000000000-200002-22-22-20002-200000000000000000000000000000000000000000000
χ914-4-44-2-24-4-222-2220014i−4i00−2i32i32i3−2i31-1-1-200-22−2i2i−2i2i23−2323−23−3−3332000000i3−i3−i3i30−2i2i1-1−33i−ii−i00000000000000000000000000000000000000
χ924-4-44-2-24-4-222-2220014i−4i002i3−2i3−2i32i31-1-1-200-22−2i2i−2i2i−2323−232333−3−32000000−i3i3i3−i30−2i2i1-13−3i−ii−i00000000000000000000000000000000000000
χ934-4-44-2-24-4-222-222001−4i4i00−2i32i32i3−2i31-1-1-200-222i−2i2i−2i−2323−232333−3−32000000i3−i3−i3i302i−2i1-13−3−ii−ii00000000000000000000000000000000000000
χ944-4-44-2-24-4-222-222001−4i4i002i3−2i3−2i32i31-1-1-200-222i−2i2i−2i23−2323−23−3−3332000000−i3i3i3−i302i−2i1-1−33−ii−ii00000000000000000000000000000000000000
χ954-4-44-2-2-44-222-2224-410000-22-221-1-12002-223−23−232323−23−2323−3−333-20000-221-11-1000-113−3−333−300000000000000000000000000000000000000
χ964-4-44-2-2-44-222-2224-410000-22-221-1-12002-2−232323−23−232323−2333−3−3-20000-221-11-1000-11−333−3−3300000000000000000000000000000000000000
χ974-4-44-2-2-44-222-222-44100002-22-21-1-12002-223−23−2323−232323−2333−3−3-200002-2-11-11000-11−33−333−300000000000000000000000000000000000000
χ984-4-44-2-2-44-222-222-44100002-22-21-1-12002-2−232323−2323−23−2323−3−333-200002-2-11-11000-113−33−3−3300000000000000000000000000000000000000
χ9988-8-8-4800-8-884-4400-40000000044-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-40044-44-4400200000000-2-220−4i34i300000000002i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-40044-44-4400200000000-2-2204i3−4i30000000000−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000000
χ1028-88-88-4004-44-8-8800-4000000004-4400000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4800-88-844-400-4000000004-4400000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4004-4444-400200000000-22-200000000000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4004-4444-400200000000-22-20000000000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000000

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