Finite Group Databasebeta

← Group #11872825

Character table — Group #11872825

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222444444444444444444444444444444446666888888888888888881212121212121212121212121212121212121212121212122424242424242436364848727272
order122233446666662234444666666612121212121212121212121212121212121244446666661212121212121212121212222444666666881212121212121212121244824242424881212448
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
χ511111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1111111111-1-111-1-111-111-1-1
χ611111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-11-1-111
χ711111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-111-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11-111
χ811111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-111-1-1-1-1-1-1111-1-11111111-1-111-1-1-1-1-1-1-1-1-111-1-111111-11-1-1
χ911111111111111-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-111-1-11111-1-1-1-1-11-111-1-1111-1-11-1
χ1011111111111111-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-11-1-111-1-1-111-11
χ1111111111111111-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1111111-1-1-1-11111-11-111-1-1-1-11-11-11
χ1211111111111111-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-111-1-1-1-111111-11-1-11111-11-11-1
χ1311111111111111-1-11-1-111-1-1-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-11-1-1-1-11111111111-1-1-1-1-1-11111111-1-1-1-11
χ1411111111111111-1-11-1-111-1-1-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-11-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-11111-1
χ1511111111111111-1-11-1-111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-111-11111-1-111-1-1-1-1-1-11111-1-111111-1-1-1-111-1
χ1611111111111111-1-11-1-111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-111-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-11
χ17222222-2-2222222002002-20000222-2-2-200002222-2-22222-222-2-2000000-200-2-2-2-2000000-20020000-2-2002222-2-2000000000000000000
χ18222222-2-2222222002002-20000222-2-2-200002222-2-22222-2-2-222000000-200-2-2-2-2000000200-200002200-2-2-2-222000000000000000000
χ19222222-2-222222200200-220000222-2-2-20000-2-2-2-222-2-2-2-2-222-2-2000000200-2-222000000200-200002200-2-222-2-2000000000000000000
χ20222222-2-222222200200-220000222-2-2-20000-2-2-2-222-2-2-2-2-2-2-222000000200-2-222000000-20020000-2-20022-2-222000000000000000000
χ2122222-1222-1-122-122-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-12222222-1-1-1-1222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-1222-1-122-122-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-12-2-2-2-222-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-2-211111100111111111100000000000000
χ2322222-1222-1-122-122-1-2-2-2-2-1-1-1-1-1-1-12-1-1111111-2-21111112222222-1-1-1-1-2-2-2-1-1111111-2-2-222-21111110011-1-1-1-1-1-1-1-100000000000000
χ2422222-1222-1-122-122-1-2-2-2-2-1-1-1-1-1-1-12-1-1111111-2-21111112-2-2-2-222-1-1-1-1-2-2-2-1-1111111222-2-22-1-1-1-1-1-100-1-11111111100000000000000
χ2522222-1222-1-122-1-2-2-122-2-21111-1-1-12-1-1-1-1-1-111-2-211111122222-2-21111-222-1-111-1-1-1-122-2-2-2-2-1-1-1-1110011-1-1-1-1111100000000000000
χ2622222-1222-1-122-1-2-2-122-2-21111-1-1-12-1-1-1-1-1-111-2-21111112-2-2-2-2-2-21111-222-1-111-1-1-1-1-2-222221111-1-100-1-11111-1-1-1-100000000000000
χ2722222-1222-1-122-1-2-2-1-2-2221111-1-1-12-1-11111-1-122-1-1-1-1-1-122222-2-211112-2-2-1-1-1-11111-2-22-2-221111-1-100-1-1-1-1-1-1111100000000000000
χ2822222-1222-1-122-1-2-2-1-2-2221111-1-1-12-1-11111-1-122-1-1-1-1-1-12-2-2-2-2-2-211112-2-2-1-1-1-1111122-222-2-1-1-1-11100111111-1-1-1-100000000000000
χ2922222-1-2-22-1-122-100-1002-2−i3−i3i3i3-1-1-1-211−i3−i3i3i3-1-12211-1-1-1-1-222-2-200−i3−i3i3i3-2001111−i3−i3i3i300-2002−i3−i3i3i31100-1-1-1-111−i3−i3i3i300000000000000
χ3022222-1-2-22-1-122-100-1002-2−i3−i3i3i3-1-1-1-211−i3−i3i3i3-1-12211-1-1-1-1-2-2-22200−i3−i3i3i3-2001111−i3−i3i3i300200-2i3i3−i3−i3-1-1001111-1-1i3i3−i3−i300000000000000
χ3122222-1-2-22-1-122-100-1002-2i3i3−i3−i3-1-1-1-211i3i3−i3−i3-1-12211-1-1-1-1-222-2-200i3i3−i3−i3-2001111i3i3−i3−i300-2002i3i3−i3−i31100-1-1-1-111i3i3−i3−i300000000000000
χ3222222-1-2-22-1-122-100-1002-2i3i3−i3−i3-1-1-1-211i3i3−i3−i3-1-12211-1-1-1-1-2-2-22200i3i3−i3−i3-2001111i3i3−i3−i300200-2−i3−i3i3i3-1-1001111-1-1−i3−i3i3i300000000000000
χ3322222-1-2-22-1-122-100-100-22−i3−i3i3i3-1-1-1-211i3i3−i3−i311-2-2-1-11111-222-2-200−i3−i3i3i320011-1-1i3i3−i3−i300200-2i3i3−i3−i3-1-10011-1-111−i3−i3i3i300000000000000
χ3422222-1-2-22-1-122-100-100-22−i3−i3i3i3-1-1-1-211i3i3−i3−i311-2-2-1-11111-2-2-22200−i3−i3i3i320011-1-1i3i3−i3−i300-2002−i3−i3i3i31100-1-111-1-1i3i3−i3−i300000000000000
χ3522222-1-2-22-1-122-100-100-22i3i3−i3−i3-1-1-1-211−i3−i3i3i311-2-2-1-11111-222-2-200i3i3−i3−i320011-1-1−i3−i3i3i300200-2−i3−i3i3i3-1-10011-1-111i3i3−i3−i300000000000000
χ3622222-1-2-22-1-122-100-100-22i3i3−i3−i3-1-1-1-211−i3−i3i3i311-2-2-1-11111-2-2-22200i3i3−i3−i320011-1-1−i3−i3i3i300-2002i3i3−i3−i31100-1-111-1-1−i3−i3i3i300000000000000
χ372222-1222-122-1-1222-122222222-1-1-1-122222222-1-122-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000220000000000222-1-1-1-100-1-1000
χ382222-1222-122-1-1222-122222222-1-1-1-122222222-1-122-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-20000000000-2-2-211110011000
χ392222-1222-122-1-1222-1-2-2-2-22222-1-1-1-122-2-2-2-2-2-211-2-21111-10000-1-1-1-1-1-1111-1-11111110000000000002200000000002-2-2-1-111001-1000
χ402222-1222-122-1-1222-1-2-2-2-22222-1-1-1-122-2-2-2-2-2-211-2-21111-10000-1-1-1-1-1-1111-1-1111111000000000000-2-20000000000-22211-1-100-11000
χ412222-1222-122-1-12-2-2-122-2-2-2-2-2-2-1-1-1-1222222-2-211-2-21111-100001111111-1-1-1-111-1-1-1-1000000000000220000000000-22-2-1-11100-11000
χ422222-1222-122-1-12-2-2-122-2-2-2-2-2-2-1-1-1-1222222-2-211-2-21111-100001111111-1-1-1-111-1-1-1-1000000000000-2-200000000002-2211-1-1001-1000
χ432222-1222-122-1-12-2-2-1-2-222-2-2-2-2-1-1-1-122-2-2-2-222-1-122-1-1-1-1-10000111111-111-1-1-1-11111000000000000220000000000-2-22-1-1-1-10011000
χ442222-1222-122-1-12-2-2-1-2-222-2-2-2-2-1-1-1-122-2-2-2-222-1-122-1-1-1-1-10000111111-111-1-1-1-11111000000000000-2-2000000000022-2111100-1-1000
χ452-2-22222-222-2-2-2-20022i−2i0000002-2-2-22-22i−2i2i−2i000000000022i−2i2i−2i00000002i−2i2-2002i−2i2i−2i2-200002-22-20000002i−2i2i−2i000000000000000000
χ462-2-22222-222-2-2-2-20022i−2i0000002-2-2-22-22i−2i2i−2i00000000002−2i2i−2i2i00000002i−2i2-2002i−2i2i−2i-220000-22-22000000−2i2i−2i2i000000000000000000
χ472-2-22222-222-2-2-2-2002−2i2i0000002-2-2-22-2−2i2i−2i2i000000000022i−2i2i−2i0000000−2i2i2-200−2i2i−2i2i-220000-22-220000002i−2i2i−2i000000000000000000
χ482-2-22222-222-2-2-2-2002−2i2i0000002-2-2-22-2−2i2i−2i2i00000000002−2i2i−2i2i0000000−2i2i2-200−2i2i−2i2i2-200002-22-2000000−2i2i−2i2i000000000000000000
χ492-2-2222-2222-2-2-2-22-2200002-22-22-2-22-2200000000000000-22i−2i−2i2i2-22-22-2000-220000000002i−2i000000000002i−2i−2i2i2i−2i2i−2i00000000000000
χ502-2-2222-2222-2-2-2-22-2200002-22-22-2-22-2200000000000000-2−2i2i2i−2i2-22-22-2000-22000000000−2i2i00000000000−2i2i2i−2i−2i2i−2i2i00000000000000
χ512-2-2222-2222-2-2-2-2-2220000-22-222-2-22-2200000000000000-22i−2i−2i2i-22-22-22000-22000000000−2i2i000000000002i−2i−2i2i−2i2i−2i2i00000000000000
χ522-2-2222-2222-2-2-2-2-2220000-22-222-2-22-2200000000000000-2−2i2i2i−2i-22-22-22000-220000000002i−2i00000000000−2i2i2i−2i2i−2i2i−2i00000000000000
χ532-2-222-12-22-11-2-2100-12i−2i00−i3i3i3−i3-111-2-11−ii−ii3−3003−333−3−322i−2i2i−2i00−i3i3i3−i302i−2i-113−3−ii−ii2-20000-11-11−i3i300−i3i3−ii−ii3−3−3300000000000000
χ542-2-222-12-22-11-2-2100-12i−2i00−i3i3i3−i3-111-2-11−ii−ii3−3003−333−3−32−2i2i−2i2i00−i3i3i3−i302i−2i-113−3−ii−ii-2200001-11-1i3−i300i3−i3i−ii−i−333−300000000000000
χ552-2-222-12-22-11-2-2100-12i−2i00i3−i3−i3i3-111-2-11−ii−ii−3300−33−3−33322i−2i2i−2i00i3−i3−i3i302i−2i-11−33−ii−ii2-20000-11-11i3−i300i3−i3−ii−ii−333−300000000000000
χ562-2-222-12-22-11-2-2100-12i−2i00i3−i3−i3i3-111-2-11−ii−ii−3300−33−3−3332−2i2i−2i2i00i3−i3−i3i302i−2i-11−33−ii−ii-2200001-11-1−i3i300−i3i3i−ii−i3−3−3300000000000000
χ572-2-222-12-22-11-2-2100-1−2i2i00−i3i3i3−i3-111-2-11i−ii−i−3300−33−3−33322i−2i2i−2i00−i3i3i3−i30−2i2i-11−33i−ii−i-2200001-11-1i3−i300i3−i3−ii−ii3−3−3300000000000000
χ582-2-222-12-22-11-2-2100-1−2i2i00−i3i3i3−i3-111-2-11i−ii−i−3300−33−3−3332−2i2i−2i2i00−i3i3i3−i30−2i2i-11−33i−ii−i2-20000-11-11−i3i300−i3i3i−ii−i−333−300000000000000
χ592-2-222-12-22-11-2-2100-1−2i2i00i3−i3−i3i3-111-2-11i−ii−i3−3003−333−3−322i−2i2i−2i00i3−i3−i3i30−2i2i-113−3i−ii−i-2200001-11-1−i3i300−i3i3−ii−ii−333−300000000000000
χ602-2-222-12-22-11-2-2100-1−2i2i00i3−i3−i3i3-111-2-11i−ii−i3−3003−333−3−32−2i2i−2i2i00i3−i3−i3i30−2i2i-113−3i−ii−i2-20000-11-11i3−i300i3−i3i−ii−i3−3−3300000000000000
χ612-2-222-1-222-11-2-212-2-10000-11-11-11121-13−3−333−300−3333−3−3-22i−2i−2i2i2-2-11-110001-1−333−3−330002i−2i0−i3i3i3−i3i3−i300−i3i3−iii−i−ii−ii00000000000000
χ622-2-222-1-222-11-2-212-2-10000-11-11-11121-13−3−333−300−3333−3−3-2−2i2i2i−2i2-2-11-110001-1−333−3−33000−2i2i0i3−i3−i3i3−i3i300i3−i3i−i−iii−ii−i00000000000000
χ632-2-222-1-222-11-2-212-2-10000-11-11-11121-1−333−3−33003−3−3−333-22i−2i−2i2i2-2-11-110001-13−3−333−30002i−2i0i3−i3−i3i3−i3i300i3−i3−iii−i−ii−ii00000000000000
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χ672-2-222-1-222-11-2-21-22-100001-11-1-11121-1−333−33−300−3333−3−3-22i−2i−2i2i-221-11-10001-1−33−333−3000−2i2i0i3−i3−i3i3i3−i300−i3i3−iii−ii−ii−i00000000000000
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χ694444-24-4-4-244-2-2400-2004-40000-2-2-22-4-4000044-2-2-4-4-2-2-2-2200000000002002222000000000000000000000000000000000000000000
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χ734444-2-244-2-2-2-2-2-2-4-4144-4-42222111-2-2-2-2-2-2-2222222-1-1-1-1-2000022-1-1-1-12-2-211-1-1111100000000000000000000000000000000000000
χ744444-2-244-2-2-2-2-2-2-4-41-4-4442222111-2-2-22222-2-2-2-2-2-21111-2000022-1-1-1-1-2221111-1-1-1-100000000000000000000000000000000000000
χ754444-2-2-4-4-2-2-2-2-2-2001004-4−2i3−2i32i32i3111222−2i3−2i32i32i3-2-2-2-22211112000000i3i3−i3−i3200-1-1-1-1i3i3−i3−i300000000000000000000000000000000000000
χ764444-2-2-4-4-2-2-2-2-2-2001004-42i32i3−2i3−2i31112222i32i3−2i3−2i3-2-2-2-22211112000000−i3−i3i3i3200-1-1-1-1−i3−i3i3i300000000000000000000000000000000000000
χ774444-2-2-4-4-2-2-2-2-2-200100-44−2i3−2i32i32i31112222i32i3−2i3−2i32222-2-2-1-1-1-12000000i3i3−i3−i3-200-1-111−i3−i3i3i300000000000000000000000000000000000000
χ784444-2-2-4-4-2-2-2-2-2-200100-442i32i3−2i3−2i3111222−2i3−2i32i32i32222-2-2-1-1-1-12000000−i3−i3i3i3-200-1-111i3i3−i3−i300000000000000000000000000000000000000
χ7944-4-44400-4-44-44-400400000000-4-440000000000000000000000000000000000000000000000000000000000000000000000−2i22i200000
χ8044-4-44400-4-44-44-400400000000-4-4400000000000000000000000000000000000000000000000000000000000000000000002i2−2i200000
χ814-44-44400-4-4-44-4400400000000-44-4000000000000000000000000000000000000000000000000000−2i22i20000000000000−2i22i2000000000
χ824-44-44400-4-4-44-4400400000000-44-40000000000000000000000000000000000000000000000000002i2−2i200000000000002i2−2i2000000000
χ834-44-4-24002-4-4-22400-2000000002-2200000000023−230023−2323−230000000000000000000000000000000000−2i22i20000000000000i2−i2i6−i60000000
χ844-44-4-24002-4-4-22400-2000000002-2200000000023−230023−2323−2300000000000000000000000000000000002i2−2i20000000000000−i2i2−i6i60000000
χ854-44-4-24002-4-4-22400-2000000002-22000000000−232300−2323−23230000000000000000000000000000000000−2i22i20000000000000i2−i2−i6i60000000
χ864-44-4-24002-4-4-22400-2000000002-22000000000−232300−2323−232300000000000000000000000000000000002i2−2i20000000000000−i2i2i6−i60000000
χ874-4-44-244-4-24-422-400-24i−4i000000-22224-44i−4i4i−4i0000000000-200000000000−2i2i-2200−2i2i−2i2i00000000000000000000000000000000000000
χ884-4-44-244-4-24-422-400-2−4i4i000000-22224-4−4i4i−4i4i0000000000-2000000000002i−2i-22002i−2i2i−2i00000000000000000000000000000000000000
χ894-4-44-24-44-24-422-44-4-200004-44-4-222-2-440000000000000020000-22-22-220002-200000000000000000000000000000000000000000000
χ904-4-44-24-44-24-422-4-44-20000-44-44-222-2-4400000000000000200002-22-22-20002-200000000000000000000000000000000000000000000
χ914-4-44-2-24-4-2-222220014i−4i00−2i32i32i3−2i31-1-12-22−2i2i−2i2i23−230023−23−3−333-2000000i3−i3−i3i30−2i2i1-1−33i−ii−i00000000000000000000000000000000000000
χ924-4-44-2-24-4-2-222220014i−4i002i3−2i3−2i32i31-1-12-22−2i2i−2i2i−232300−232333−3−3-2000000−i3i3i3−i30−2i2i1-13−3i−ii−i00000000000000000000000000000000000000
χ934-4-44-2-24-4-2-22222001−4i4i00−2i32i32i3−2i31-1-12-222i−2i2i−2i−232300−232333−3−3-2000000i3−i3−i3i302i−2i1-13−3−ii−ii00000000000000000000000000000000000000
χ944-4-44-2-24-4-2-22222001−4i4i002i3−2i3−2i32i31-1-12-222i−2i2i−2i23−230023−23−3−333-2000000−i3i3i3−i302i−2i1-1−33−ii−ii00000000000000000000000000000000000000
χ954-4-44-2-2-44-2-222224-410000-22-221-1-1-22-223−23−232323−2300−2323−3−33320000-221-11-1000-113−3−333−300000000000000000000000000000000000000
χ964-4-44-2-2-44-2-222224-410000-22-221-1-1-22-2−232323−23−23230023−2333−3−320000-221-11-1000-11−333−3−3300000000000000000000000000000000000000
χ974-4-44-2-2-44-2-22222-44100002-22-21-1-1-22-223−23−2323−23230023−2333−3−3200002-2-11-11000-11−33−333−300000000000000000000000000000000000000
χ984-4-44-2-2-44-2-22222-44100002-22-21-1-1-22-2−232323−2323−2300−2323−3−333200002-2-11-11000-113−33−3−3300000000000000000000000000000000000000
χ9988-8-88-400-84-4-88400-40000000044-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48004-884-4-800-40000000044-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-40044-44-4400200000000-2-2200000000000006-6-66000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-40044-44-4400200000000-2-220000000000000-666-6000000000000000000000000000000000000000000000000000000000000
χ1038-88-88-400-8448-8-400-4000000004-4400000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-400444-44-400200000000-22-200000000043−4300−2323−2323000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-400444-44-400200000000-22-2000000000−43430023−2323−23000000000000000000000000000000000000000000000000000000000000

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