Finite Group Databasebeta

← Group #11865868

Character table — Group #11865868

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444666666666666668888888888888888812121212121212121212121212121212122424242424242424484872727272
order122233444466666612121212223444666666612121212121212121212121212121212224444666612121212666666121212121212121212121222444666612121212121212122488242424246122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-11111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-11111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1111111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ811111111111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1111111-1-1-1-11111-1-1111111-1-111-1-1
χ9111111-1-111111111-1-1-1-1111-1-1-11111111-1-111-1-11-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1111111-1-1-111-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-11-11-111-1-11-1-111-1
χ10111111-1-111111111-1-1-1-1111-1-1-11111111-1-111-1-11-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1111111-1-1-111-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-11-11-1-111-111-1-11
χ11111111-1-111111111-1-1-1-1111-1-1-11111111-1-111-1-11-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-11-111-1-11-11-1-11
χ12111111-1-111111111-1-1-1-1111-1-1-11111111-1-111-1-11-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-11-11-1-111-11-111-1
χ13111111-1-111111111-1-1-1-1-1-11-111-1-1-1-1111-1-111-1-111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-1-111-1-111111-1-11-1-1111-1-11-11
χ14111111-1-111111111-1-1-1-1-1-11-111-1-1-1-1111-1-111-1-111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-1-111-1-11111-111-111-1-1-111-11-1
χ15111111-1-111111111-1-1-1-1-1-11-111-1-1-1-1111-1-111-1-111111-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-11111111-1-11111-1-111-1-1-1-11-1-11-1-1111-11-11-1
χ16111111-1-111111111-1-1-1-1-1-11-111-1-1-1-1111-1-111-1-111111-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-11111111-1-11111-1-111-1-1-1-1-111-111-1-1-11-11-11
χ1722222222-2-22222222222002-200000022222-2-2-2-2-200002222-22222-2-222222222000000-200-2-2-2-2000000-2000000-2-2-2-2000000000000000000
χ1822222222-2-22222222222002-200000022222-2-2-2-2-200002222-2-2-2-2-222-2-2-2-2-2-2-2-2000000-200-2-2-2-200000020000002222000000000000000000
χ19222222-2-2-2-2222222-2-2-2-20022000000222-2-2-2-222-20000-2-2-2-2-222-2-2-2-22222-2-2-2-2000000200-2-2220000002000000-2-222000000000000000000
χ20222222-2-2-2-2222222-2-2-2-20022000000222-2-2-2-222-20000-2-2-2-2-2-2-22222-2-2-2-22222000000200-2-222000000-200000022-2-2000000000000000000
χ2122222-1222222-1-12-1-1-1-1-122-1222-1-1-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-1222222-1-12-1-1-1-1-122-1222-1-1-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-12-2-2-2-2-2-21111111122-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-211111111111100000000000000
χ2322222-1222222-1-12-1-1-1-1-1-2-2-12-2-21111-1-1-122-1-1-1-121111-1-1-1-12222222-1-1-1-1-1-1-1-1-2-211112-2-2-1-1-1-11111-2-22-2-21111-1-1-1-1111100000000000000
χ2422222-1222222-1-12-1-1-1-1-1-2-2-12-2-21111-1-1-122-1-1-1-121111-1-1-1-12-2-2-2-2-2-211111111-2-211112-2-2-1-1-1-1111122-222-1-1-1-11111-1-1-1-100000000000000
χ2522222-122-2-222-1-12-1-1-1-1-100-1-200−i3−i3i3i3-1-1-1221111-2−i3−i3i3i3-1-1-1-1-22222-2-2-1-1-1-1-1-1-1-100−i3−i3i3i3-2001111−i3−i3i3i300-200−i3−i3i3i31111−i3−i3i3i300000000000000
χ2622222-122-2-222-1-12-1-1-1-1-100-1-200−i3−i3i3i3-1-1-1221111-2−i3−i3i3i3-1-1-1-1-2-2-2-2-2221111111100−i3−i3i3i3-2001111−i3−i3i3i300200i3i3−i3−i3-1-1-1-1i3i3−i3−i300000000000000
χ2722222-122-2-222-1-12-1-1-1-1-100-1-200i3i3−i3−i3-1-1-1221111-2i3i3−i3−i3-1-1-1-1-22222-2-2-1-1-1-1-1-1-1-100i3i3−i3−i3-2001111i3i3−i3−i300-200i3i3−i3−i31111i3i3−i3−i300000000000000
χ2822222-122-2-222-1-12-1-1-1-1-100-1-200i3i3−i3−i3-1-1-1221111-2i3i3−i3−i3-1-1-1-1-2-2-2-2-2221111111100i3i3−i3−i3-2001111i3i3−i3−i300200−i3−i3i3i3-1-1-1-1−i3−i3i3i300000000000000
χ2922222-1-2-22222-1-12-1111122-1-2-2-2-1-1-1-1-1-1-1-2-2-1-111211111111222-2-222-1-1-1-1111122-1-1-1-1-2-2-2-1-111111122-2-2-2-1-1-1-1-1-111111100000000000000
χ3022222-1-2-22222-1-12-1111122-1-2-2-2-1-1-1-1-1-1-1-2-2-1-1112111111112-2-222-2-21111-1-1-1-122-1-1-1-1-2-2-2-1-1111111-2-2222111111-1-1-1-1-1-100000000000000
χ3122222-1-2-22222-1-12-11111-2-2-1-2221111-1-1-1-2-2-1-1112-1-1-1-11111222-2-222-1-1-1-11111-2-21111-222-1-111-1-1-1-1-2-2-2221111-1-111-1-1-1-100000000000000
χ3222222-1-2-22222-1-12-11111-2-2-1-2221111-1-1-1-2-2-1-1112-1-1-1-111112-2-222-2-21111-1-1-1-1-2-21111-222-1-111-1-1-1-1222-2-2-1-1-1-111-1-1111100000000000000
χ3322222-1-2-2-2-222-1-12-1111100-1200−i3−i3i3i3-1-1-1-2-211-1-1-2i3i3−i3−i31111-222-2-2-2-2-1-1-1-1111100−i3−i3i3i320011-1-1i3i3−i3−i300200−i3−i3i3i311-1-1i3i3−i3−i300000000000000
χ3422222-1-2-2-2-222-1-12-1111100-1200−i3−i3i3i3-1-1-1-2-211-1-1-2i3i3−i3−i31111-2-2-222221111-1-1-1-100−i3−i3i3i320011-1-1i3i3−i3−i300-200i3i3−i3−i3-1-111−i3−i3i3i300000000000000
χ3522222-1-2-2-2-222-1-12-1111100-1200i3i3−i3−i3-1-1-1-2-211-1-1-2−i3−i3i3i31111-222-2-2-2-2-1-1-1-1111100i3i3−i3−i320011-1-1−i3−i3i3i300200i3i3−i3−i311-1-1−i3−i3i3i300000000000000
χ3622222-1-2-2-2-222-1-12-1111100-1200i3i3−i3−i3-1-1-1-2-211-1-1-2−i3−i3i3i31111-2-2-222221111-1-1-1-100i3i3−i3−i320011-1-1−i3−i3i3i300-200−i3−i3i3i3-1-111i3i3−i3−i300000000000000
χ372222-122222-1-122-12222222-12222222-1-1-1-1-12222-12222-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000002222-1-1-1-1-1-10000
χ382222-122222-1-122-12222222-12222222-1-1-1-1-12222-12222-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-2-2-2-21111110000
χ392222-122222-1-122-122222-2-2-12-2-2-2-2-2-2-1-1-1-1-12222-1-2-2-2-2-1-1-1-1-100000000000000111111-111-1-1-1-111110000000000000000022-2-21111-1-10000
χ402222-122222-1-122-122222-2-2-12-2-2-2-2-2-2-1-1-1-1-12222-1-2-2-2-2-1-1-1-1-100000000000000111111-111-1-1-1-1111100000000000000000-2-222-1-1-1-1110000
χ412222-12-2-222-1-122-12-2-2-2-222-1-2-2-22222-1-1-11122-2-2-1-2-2-2-21111-100000000000000-1-1-1-1-1-1111-1-1111111000000000000000002-22-2-1-111-110000
χ422222-12-2-222-1-122-12-2-2-2-222-1-2-2-22222-1-1-11122-2-2-1-2-2-2-21111-100000000000000-1-1-1-1-1-1111-1-111111100000000000000000-22-2211-1-11-10000
χ432222-12-2-222-1-122-12-2-2-2-2-2-2-1-222-2-2-2-2-1-1-11122-2-2-122221111-1000000000000001111111-1-1-1-111-1-1-1-1000000000000000002-2-2211-1-1-110000
χ442222-12-2-222-1-122-12-2-2-2-2-2-2-1-222-2-2-2-2-1-1-11122-2-2-122221111-1000000000000001111111-1-1-1-111-1-1-1-100000000000000000-222-2-1-1111-10000
χ452-2-2222002-2-2-22-22-2000000202i−2i00002-2-2002-20022i−2i2i−2i0000-22-2002-222-2-2000000000002i−2i2-2002i−2i2i−2i0002i−2i00002-2002i−2i2i−2i00000000000000
χ462-2-2222002-2-2-22-22-2000000202i−2i00002-2-2002-20022i−2i2i−2i0000-2-2200-22-2-222000000000002i−2i2-2002i−2i2i−2i000−2i2i0000-2200−2i2i−2i2i00000000000000
χ472-2-2222002-2-2-22-22-200000020−2i2i00002-2-2002-2002−2i2i−2i2i0000-22-2002-222-2-200000000000−2i2i2-200−2i2i−2i2i000−2i2i00002-200−2i2i−2i2i00000000000000
χ482-2-2222002-2-2-22-22-200000020−2i2i00002-2-2002-2002−2i2i−2i2i0000-2-2200-22-2-22200000000000−2i2i2-200−2i2i−2i2i0002i−2i0000-22002i−2i2i−2i00000000000000
χ492-2-222200-22-2-22-22-200002-220002-22-22-2-200-2200-20000000022-200-2222-2-200002-22-22-2000-220000002-20002-22-2-2200000000000000000000
χ502-2-222200-22-2-22-22-200002-220002-22-22-2-200-2200-2000000002-22002-2-2-22200002-22-22-2000-22000000-22000-22-222-200000000000000000000
χ512-2-222200-22-2-22-22-20000-222000-22-222-2-200-2200-20000000022-200-2222-2-20000-22-22-22000-22000000-22000-22-22-2200000000000000000000
χ522-2-222200-22-2-22-22-20000-222000-22-222-2-200-2200-2000000002-22002-2-2-2220000-22-22-22000-220000002-20002-22-22-200000000000000000000
χ532-2-222-1002-2-2-2-112133−3−300-102i−2i−i3i3i3−i3-11100-113−32−ii−ii33−3−3-22-2002-2-1-11133−3−300−i3i3i3−i302i−2i-113−3−ii−ii0002i−2i−i3i3i3−i3-113−3−ii−ii00000000000000
χ542-2-222-1002-2-2-2-112133−3−300-102i−2i−i3i3i3−i3-11100-113−32−ii−ii33−3−3-2-2200-2211-1-1−3−33300−i3i3i3−i302i−2i-113−3−ii−ii000−2i2ii3−i3−i3i31-1−33i−ii−i00000000000000
χ552-2-222-1002-2-2-2-112133−3−300-10−2i2ii3−i3−i3i3-11100-113−32i−ii−i33−3−3-22-2002-2-1-11133−3−300i3−i3−i3i30−2i2i-113−3i−ii−i000−2i2ii3−i3−i3i3-113−3i−ii−i00000000000000
χ562-2-222-1002-2-2-2-112133−3−300-10−2i2ii3−i3−i3i3-11100-113−32i−ii−i33−3−3-2-2200-2211-1-1−3−33300i3−i3−i3i30−2i2i-113−3i−ii−i0002i−2i−i3i3i3−i31-1−33−ii−ii00000000000000
χ572-2-222-1002-2-2-2-1121−3−33300-102i−2ii3−i3−i3i3-11100-11−332−ii−ii−3−333-22-2002-2-1-111−3−33300i3−i3−i3i302i−2i-11−33−ii−ii0002i−2ii3−i3−i3i3-11−33−ii−ii00000000000000
χ582-2-222-1002-2-2-2-1121−3−33300-102i−2ii3−i3−i3i3-11100-11−332−ii−ii−3−333-2-2200-2211-1-133−3−300i3−i3−i3i302i−2i-11−33−ii−ii000−2i2i−i3i3i3−i31-13−3i−ii−i00000000000000
χ592-2-222-1002-2-2-2-1121−3−33300-10−2i2i−i3i3i3−i3-11100-11−332i−ii−i−3−333-22-2002-2-1-111−3−33300−i3i3i3−i30−2i2i-11−33i−ii−i000−2i2i−i3i3i3−i3-11−33i−ii−i00000000000000
χ602-2-222-1002-2-2-2-1121−3−33300-10−2i2i−i3i3i3−i3-11100-11−332i−ii−i−3−333-2-2200-2211-1-133−3−300−i3i3i3−i30−2i2i-11−33i−ii−i0002i−2ii3−i3−i3i31-13−3−ii−ii00000000000000
χ612-2-222-100-22-2-2-112133−3−32-2-1000-11-11-111001-1−33-23−3−3333−3−322-200-22-1-11133−3−32-2-11-110001-1−333−3−332-2000-11-111-1−333−3−3300000000000000
χ622-2-222-100-22-2-2-112133−3−32-2-1000-11-11-111001-1−33-23−3−3333−3−32-22002-211-1-1−3−3332-2-11-110001-1−333−3−33-220001-11-1-113−3−333−300000000000000
χ632-2-222-100-22-2-2-112133−3−3-22-10001-11-1-111001-1−33-2−333−333−3−322-200-22-1-11133−3−3-221-11-10001-1−33−333−3-220001-11-11-1−33−333−300000000000000
χ642-2-222-100-22-2-2-112133−3−3-22-10001-11-1-111001-1−33-2−333−333−3−32-22002-211-1-1−3−333-221-11-10001-1−33−333−32-2000-11-11-113−33−3−3300000000000000
χ652-2-222-100-22-2-2-1121−3−3332-2-1000-11-11-111001-13−3-2−333−3−3−33322-200-22-1-111−3−3332-2-11-110001-13−3−333−32-2000-11-111-13−3−333−300000000000000
χ662-2-222-100-22-2-2-1121−3−3332-2-1000-11-11-111001-13−3-2−333−3−3−3332-22002-211-1-133−3−32-2-11-110001-13−3−333−3-220001-11-1-11−333−3−3300000000000000
χ672-2-222-100-22-2-2-1121−3−333-22-10001-11-1-111001-13−3-23−3−33−3−33322-200-22-1-111−3−333-221-11-10001-13−33−3−33-220001-11-11-13−33−3−3300000000000000
χ682-2-222-100-22-2-2-1121−3−333-22-10001-11-1-111001-13−3-23−3−33−3−3332-22002-211-1-133−3−3-221-11-10001-13−33−3−332-2000-11-11-11−33−333−300000000000000
χ694444-2444-4-4-2-244-24444400-2-4000000-2-2-2-2-2-4-4-4-420000-2-2-2-2200000000000000000000200222200000000000000000000000000000000000
χ704444-24-4-4-4-4-2-244-24-4-4-4-400-24000000-2-2-222-4-444200002222200000000000000000000-20022-2-200000000000000000000000000000000000
χ714444-2-24444-2-2-2-2-2-2-2-2-2-2441444-2-2-2-2111-2-2-2-2-2-2-2-2-2-2-21111-200000000000000-2-21111-2-2-2111111110000000000000000000000000000000
χ724444-2-24444-2-2-2-2-2-2-2-2-2-2-4-414-4-42222111-2-2-2-2-2-2-222221111-20000000000000022-1-1-1-1-2221111-1-1-1-10000000000000000000000000000000
χ734444-2-244-4-4-2-2-2-2-2-2-2-2-2-2001-400−2i3−2i32i32i3111-2-222222−2i3−2i32i32i3111120000000000000000i3i3−i3−i3200-1-1-1-1i3i3−i3−i30000000000000000000000000000000
χ744444-2-244-4-4-2-2-2-2-2-2-2-2-2-2001-4002i32i3−2i3−2i3111-2-2222222i32i3−2i3−2i3111120000000000000000−i3−i3i3i3200-1-1-1-1−i3−i3i3i30000000000000000000000000000000
χ754444-2-2-4-444-2-2-2-2-2-22222441-4-4-4-2-2-2-211122-2-222-22222-1-1-1-1-200000000000000-2-2111122211-1-1-1-1-1-10000000000000000000000000000000
χ764444-2-2-4-444-2-2-2-2-2-22222-4-41-444222211122-2-222-2-2-2-2-2-1-1-1-1-20000000000000022-1-1-1-12-2-211-1-111110000000000000000000000000000000
χ774444-2-2-4-4-4-4-2-2-2-2-2-22222001400−2i3−2i32i32i31112222-2-222i32i3−2i3−2i3-1-1-1-120000000000000000i3i3−i3−i3-200-1-111−i3−i3i3i30000000000000000000000000000000
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χ894-44-4440000-44-4-4-4400000040000000-4-440000000000000000004-40000004-4-44000000000000000000000000000000000000000000000000
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χ974-4-44-2400-44224-4-2-400004-4-20004-44-4-22200-4400200000000-200000000000000-22-22-220002-20000000000000000000000000000000000000
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χ1064-4-44-2-200-4422-22-22−23−232323-4410002-22-21-1-1002-223−23223−23−232333−3−3-2000000000000002-2-11-11000-11−33−333−30000000000000000000000000000000
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χ10888-8-8-4-4−8i8i00-444-4444i−4i4i−4i0020000000-22-24i−4i000000000−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4800004-4-8-848000000-4000000044-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-400004-4444-4−4i34i34i3−4i30020000000-2-22000000000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-400004-4444-44i3−4i3−4i34i30020000000-2-2200000000000−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000000000

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