Finite Group Databasebeta

← Group #11871279

Character table — Group #11871279

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444666666666666668888888888888888812121212121212121212121212121212122424242424242424484872727272
order1222334444666666121212122234446666666121212121212121212121212121212122244446666121212126666661212121212121212121212224446666121212121212121244882424242412122288
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
χ511111111111111111111-1-11-1-11-1-1-1-11111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-11-1-11-1-1-1-11111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111-1-11-1-11-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1111111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ811111111111111111111-1-11-1-11-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1111111-1-1-1-11111-1-1111111-1-111-1-1
χ9111111-1-111111111-1-1-1-1111-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-11-11-111-1-11-11-11-1
χ10111111-1-111111111-1-1-1-1111-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-11-11-1-111-11-11-11
χ11111111-1-111111111-1-1-1-1111-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-11-111-1-11-1-11-11
χ12111111-1-111111111-1-1-1-1111-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-11-11-1-111-111-11-1
χ13111111-1-111111111-1-1-1-1-1-1111-1-1-1-1-11111-1-111-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1111-1-1-1-111-1-111111-1-11-1-1111-11-1-11
χ14111111-1-111111111-1-1-1-1-1-1111-1-1-1-1-11111-1-111-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1111-1-1-1-111-1-11111-111-111-1-1-11-111-1
χ15111111-1-111111111-1-1-1-1-1-1111-1-1-1-1-11111-1-111-1-11111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-111-111-1-1111111-1-1-11111-1-111-1-1-1-11-1-11-1-1111-1-111-1
χ16111111-1-111111111-1-1-1-1-1-1111-1-1-1-1-11111-1-111-1-11111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-111-111-1-1111111-1-1-11111-1-111-1-1-1-1-111-111-1-1-111-1-11
χ1722222222-2-2222222222200200-20000222-222-2-2-2-200002222-22222-2-22222222200000000-2-2-2-2-2000000-2000000-2-2-2-2000000000000000000
χ1822222222-2-2222222222200200-20000222-222-2-2-2-200002222-2-2-2-2-222-2-2-2-2-2-2-2-200000000-2-2-2-2-200000020000002222000000000000000000
χ19222222-2-2-2-2222222-2-2-2-20020020000222-2-2-2-2-2220000-2-2-2-2-222-2-2222222-2-2-2-2000000002-2-222000000-2000000-2-222000000000000000000
χ20222222-2-2-2-2222222-2-2-2-20020020000222-2-2-2-2-2220000-2-2-2-2-2-2-222-2-2-2-2-2-22222000000002-2-222000000200000022-2-2000000000000000000
χ2122222-1222222-1-1-12-1-1-1-122-1222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-1222222-1-1-12-1-1-1-122-1222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2-2-21111111122-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-211111111111100000000000000
χ2322222-1222222-1-1-12-1-1-1-1-2-2-1-2-221111-1-1-1222-1-1-1-11111-1-1-1-12222222-1-1-1-1-1-1-1-1-2-21111-2-22-1-1-1-11111-2-22-2-21111-1-1-1-1111100000000000000
χ2422222-1222222-1-1-12-1-1-1-1-2-2-1-2-221111-1-1-1222-1-1-1-11111-1-1-1-12-2-2-2-2-2-211111111-2-21111-2-22-1-1-1-1111122-222-1-1-1-11111-1-1-1-100000000000000
χ2522222-122-2-222-1-1-12-1-1-1-100-100-2−i3−i3i3i3-1-1-1-2221111−i3−i3i3i3-1-1-1-1-22222-2-2-1-1-1-1-1-1-1-100−i3−i3i3i300-21111−i3−i3i3i300-200−i3−i3i3i31111−i3−i3i3i300000000000000
χ2622222-122-2-222-1-1-12-1-1-1-100-100-2−i3−i3i3i3-1-1-1-2221111−i3−i3i3i3-1-1-1-1-2-2-2-2-2221111111100−i3−i3i3i300-21111−i3−i3i3i300200i3i3−i3−i3-1-1-1-1i3i3−i3−i300000000000000
χ2722222-122-2-222-1-1-12-1-1-1-100-100-2i3i3−i3−i3-1-1-1-2221111i3i3−i3−i3-1-1-1-1-22222-2-2-1-1-1-1-1-1-1-100i3i3−i3−i300-21111i3i3−i3−i300-200i3i3−i3−i31111i3i3−i3−i300000000000000
χ2822222-122-2-222-1-1-12-1-1-1-100-100-2i3i3−i3−i3-1-1-1-2221111i3i3−i3−i3-1-1-1-1-2-2-2-2-2221111111100i3i3−i3−i300-21111i3i3−i3−i300200−i3−i3i3i3-1-1-1-1−i3−i3i3i300000000000000
χ2922222-1-2-22222-1-1-12111122-1-2-2-2-1-1-1-1-1-1-12-2-2-1-11111111111222-2-2-2-2-1-1-1-1111122-1-1-1-1-2-2-2-1-1111111222-2-2-1-1-1-1-1-111111100000000000000
χ3022222-1-2-22222-1-1-12111122-1-2-2-2-1-1-1-1-1-1-12-2-2-1-111111111112-2-222221111-1-1-1-122-1-1-1-1-2-2-2-1-1111111-2-2-222111111-1-1-1-1-1-100000000000000
χ3122222-1-2-22222-1-1-121111-2-2-122-21111-1-1-12-2-2-1-111-1-1-1-11111222-2-2-2-2-1-1-1-11111-2-2111122-2-1-111-1-1-1-1-2-22221111-1-111-1-1-1-100000000000000
χ3222222-1-2-22222-1-1-121111-2-2-122-21111-1-1-12-2-2-1-111-1-1-1-111112-2-222221111-1-1-1-1-2-2111122-2-1-111-1-1-1-122-2-2-2-1-1-1-111-1-1111100000000000000
χ3322222-1-2-2-2-222-1-1-12111100-1002−i3−i3i3i3-1-1-1-2-2-211-1-1i3i3−i3−i31111-222-2-222-1-1-1-1111100−i3−i3i3i300211-1-1i3i3−i3−i300-200−i3−i3i3i311-1-1i3i3−i3−i300000000000000
χ3422222-1-2-2-2-222-1-1-12111100-1002−i3−i3i3i3-1-1-1-2-2-211-1-1i3i3−i3−i31111-2-2-222-2-21111-1-1-1-100−i3−i3i3i300211-1-1i3i3−i3−i300200i3i3−i3−i3-1-111−i3−i3i3i300000000000000
χ3522222-1-2-2-2-222-1-1-12111100-1002i3i3−i3−i3-1-1-1-2-2-211-1-1−i3−i3i3i31111-222-2-222-1-1-1-1111100i3i3−i3−i300211-1-1−i3−i3i3i300-200i3i3−i3−i311-1-1−i3−i3i3i300000000000000
χ3622222-1-2-2-2-222-1-1-12111100-1002i3i3−i3−i3-1-1-1-2-2-211-1-1−i3−i3i3i31111-2-2-222-2-21111-1-1-1-100i3i3−i3−i300211-1-1−i3−i3i3i300200−i3−i3i3i3-1-111i3i3−i3−i300000000000000
χ372222-122222-1-1222-1222222-12222222-1-1-1-1-1-122222222-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000002222-1-1-1-1-1-10000
χ382222-122222-1-1222-1222222-12222222-1-1-1-1-1-122222222-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-2-2-2-21111110000
χ392222-122222-1-1222-12222-2-2-1-2-22-2-2-2-2-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-10000000000000011111111-1-1-1-1-111110000000000000000022-2-21111-1-10000
χ402222-122222-1-1222-12222-2-2-1-2-22-2-2-2-2-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-10000000000000011111111-1-1-1-1-1111100000000000000000-2-222-1-1-1-1110000
χ412222-12-2-222-1-1222-1-2-2-2-222-1-2-2-22222-1-1-1-11122-2-2-2-2-2-21111-100000000000000-1-1-1-1-1-1111-1-1111111000000000000000002-22-2-1-111-110000
χ422222-12-2-222-1-1222-1-2-2-2-222-1-2-2-22222-1-1-1-11122-2-2-2-2-2-21111-100000000000000-1-1-1-1-1-1111-1-111111100000000000000000-22-2211-1-11-10000
χ432222-12-2-222-1-1222-1-2-2-2-2-2-2-122-2-2-2-2-2-1-1-1-11122-2-222221111-100000000000000111111-1-11-1-111-1-1-1-1000000000000000002-2-2211-1-1-110000
χ442222-12-2-222-1-1222-1-2-2-2-2-2-2-122-2-2-2-2-2-1-1-1-11122-2-222221111-100000000000000111111-1-11-1-111-1-1-1-100000000000000000-222-2-1-1111-10000
χ4522-2-222002-22-22-2-2-200000022i−2i000002-2-2-2002-2002i−2i2i−2i00002002i−2i2i−2i00002i2i−2i−2i0000002i−2i02-2002i−2i2i−2i2-20002-22-2002i−2i000000000000000000
χ4622-2-222002-22-22-2-2-200000022i−2i000002-2-2-2002-2002i−2i2i−2i0000200−2i2i−2i2i0000−2i−2i2i2i0000002i−2i02-2002i−2i2i−2i-22000-22-2200−2i2i000000000000000000
χ4722-2-222002-22-22-2-2-20000002−2i2i000002-2-2-2002-200−2i2i−2i2i00002002i−2i2i−2i00002i2i−2i−2i000000−2i2i02-200−2i2i−2i2i-22000-22-22002i−2i000000000000000000
χ4822-2-222002-22-22-2-2-20000002−2i2i000002-2-2-2002-200−2i2i−2i2i0000200−2i2i−2i2i0000−2i−2i2i2i000000−2i2i02-200−2i2i−2i2i2-20002-22-200−2i2i000000000000000000
χ4922-2-22200-222-22-2-2-200002-220002-22-22-2-2200-220000000000-2002i−2i−2i2i00002i2i−2i−2i2-22-22-2000-220000000002i−2i000000−2i2i2i−2i2i−2i00000000000000
χ5022-2-22200-222-22-2-2-200002-220002-22-22-2-2200-220000000000-200−2i2i2i−2i0000−2i−2i2i2i2-22-22-2000-22000000000−2i2i0000002i−2i−2i2i−2i2i00000000000000
χ5122-2-22200-222-22-2-2-20000-222000-22-222-2-2200-220000000000-2002i−2i−2i2i00002i2i−2i−2i-22-22-22000-22000000000−2i2i000000−2i2i−2i2i−2i2i00000000000000
χ5222-2-22200-222-22-2-2-20000-222000-22-222-2-2200-220000000000-200−2i2i2i−2i0000−2i−2i2i2i-22-22-22000-220000000002i−2i0000002i−2i2i−2i2i−2i00000000000000
χ5322-2-22-1002-22-2-111-233−3−300-12i−2i0−i3i3i3−i3-111-200-113−3−ii−ii33−3−32002i−2i2i−2i−i3−i3i3i3−i−iii00−i3i3i3−i32i−2i0-113−3−ii−ii2-2000-11-11−i3i3−ii3−3−3300000000000000
χ5422-2-22-1002-22-2-111-233−3−300-12i−2i0−i3i3i3−i3-111-200-113−3−ii−ii33−3−3200−2i2i−2i2ii3i3−i3−i3ii−i−i00−i3i3i3−i32i−2i0-113−3−ii−ii-220001-11-1i3−i3i−i−333−300000000000000
χ5522-2-22-1002-22-2-111-233−3−300-1−2i2i0i3−i3−i3i3-111-200-113−3i−ii−i33−3−32002i−2i2i−2i−i3−i3i3i3−i−iii00i3−i3−i3i3−2i2i0-113−3i−ii−i-220001-11-1−i3i3−ii−333−300000000000000
χ5622-2-22-1002-22-2-111-233−3−300-1−2i2i0i3−i3−i3i3-111-200-113−3i−ii−i33−3−3200−2i2i−2i2ii3i3−i3−i3ii−i−i00i3−i3−i3i3−2i2i0-113−3i−ii−i2-2000-11-11i3−i3i−i3−3−3300000000000000
χ5722-2-22-1002-22-2-111-2−3−33300-12i−2i0i3−i3−i3i3-111-200-11−33−ii−ii−3−3332002i−2i2i−2ii3i3−i3−i3−i−iii00i3−i3−i3i32i−2i0-11−33−ii−ii2-2000-11-11i3−i3−ii−333−300000000000000
χ5822-2-22-1002-22-2-111-2−3−33300-12i−2i0i3−i3−i3i3-111-200-11−33−ii−ii−3−333200−2i2i−2i2i−i3−i3i3i3ii−i−i00i3−i3−i3i32i−2i0-11−33−ii−ii-220001-11-1−i3i3i−i3−3−3300000000000000
χ5922-2-22-1002-22-2-111-2−3−33300-1−2i2i0−i3i3i3−i3-111-200-11−33i−ii−i−3−3332002i−2i2i−2ii3i3−i3−i3−i−iii00−i3i3i3−i3−2i2i0-11−33i−ii−i-220001-11-1i3−i3−ii3−3−3300000000000000
χ6022-2-22-1002-22-2-111-2−3−33300-1−2i2i0−i3i3i3−i3-111-200-11−33i−ii−i−3−333200−2i2i−2i2i−i3−i3i3i3ii−i−i00−i3i3i3−i3−2i2i0-11−33i−ii−i2-2000-11-11−i3i3i−i−333−300000000000000
χ6122-2-22-100-222-2-111-233−3−32-2-1000-11-11-1112001-1−333−3−3333−3−3-2002i−2i−2i2i−i3−i3i3i3−i−iii2-2-11-110001-1−333−3−330002i−2i−i3i3i3−i3i3−i3i−i−ii−ii00000000000000
χ6222-2-22-100-222-2-111-233−3−32-2-1000-11-11-1112001-1−333−3−3333−3−3-200−2i2i2i−2ii3i3−i3−i3ii−i−i2-2-11-110001-1−333−3−33000−2i2ii3−i3−i3i3−i3i3−iii−ii−i00000000000000
χ6322-2-22-100-222-2-111-233−3−3-22-10001-11-1-1112001-1−33−333−333−3−3-2002i−2i−2i2i−i3−i3i3i3−i−iii-221-11-10001-1−33−333−3000−2i2ii3−i3−i3i3i3−i3i−ii−ii−i00000000000000
χ6422-2-22-100-222-2-111-233−3−3-22-10001-11-1-1112001-1−33−333−333−3−3-200−2i2i2i−2ii3i3−i3−i3ii−i−i-221-11-10001-1−33−333−30002i−2i−i3i3i3−i3−i3i3−ii−ii−ii00000000000000
χ6522-2-22-100-222-2-111-2−3−3332-2-1000-11-11-1112001-13−3−333−3−3−333-2002i−2i−2i2ii3i3−i3−i3−i−iii2-2-11-110001-13−3−333−30002i−2ii3−i3−i3i3−i3i3i−i−ii−ii00000000000000
χ6622-2-22-100-222-2-111-2−3−3332-2-1000-11-11-1112001-13−3−333−3−3−333-200−2i2i2i−2i−i3−i3i3i3ii−i−i2-2-11-110001-13−3−333−3000−2i2i−i3i3i3−i3i3−i3−iii−ii−i00000000000000
χ6722-2-22-100-222-2-111-2−3−333-22-10001-11-1-1112001-13−33−3−33−3−333-2002i−2i−2i2ii3i3−i3−i3−i−iii-221-11-10001-13−33−3−33000−2i2i−i3i3i3−i3−i3i3i−ii−ii−i00000000000000
χ6822-2-22-100-222-2-111-2−3−333-22-10001-11-1-1112001-13−33−3−33−3−333-200−2i2i2i−2i−i3−i3i3i3ii−i−i-221-11-10001-13−33−3−330002i−2ii3−i3−i3i3i3−i3−ii−ii−ii00000000000000
χ694444-2444-4-4-2-2444-2444400-200-40000-2-2-22-2-2-4-4-4-40000-2-2-2-2200000000000000000000002222200000000000000000000000000000000000
χ704444-24-4-4-4-4-2-2444-2-4-4-4-400-20040000-2-2-2222-4-4440000222220000000000000000000000-222-2-200000000000000000000000000000000000
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
χ724444-2-24444-2-2-2-2-2-2-2-2-2-2-4-41-4-442222111-2-2-2-2-2-2-222221111-20000000000000022-1-1-1-122-21111-1-1-1-10000000000000000000000000000000
χ734444-2-244-4-4-2-2-2-2-2-2-2-2-2-200100-4−2i3−2i32i32i31112-2-22222−2i3−2i32i32i3111120000000000000000i3i3−i3−i3002-1-1-1-1i3i3−i3−i30000000000000000000000000000000
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χ784444-2-2-4-4-4-4-2-2-2-2-2-222220010042i32i3−2i3−2i311122222-2-2−2i3−2i32i32i3-1-1-1-120000000000000000−i3−i3i3i300-2-1-111i3i3−i3−i30000000000000000000000000000000
χ7944-4-4-24004-4-224-4-42000000-24i−4i00000-2222004-4004i−4i4i−4i0000-200000000000000000000−2i2i0-2200−2i2i−2i2i0000000000000000000000000000000
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χ8844-4-4-2-200-44-22-22222323−23−23-4410002-22-21-1-1-2002-2−2323−232323−23−3−3332000000000000002-2-11-11000-113−33−3−330000000000000000000000000000000
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χ9044-4-4-2-200-44-22-2222−23−232323-4410002-22-21-1-1-2002-223−2323−23−232333−3−32000000000000002-2-11-11000-11−33−333−30000000000000000000000000000000
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χ974-44-4-244-4002-2-4-4424-44-400-2000000022-20-2200000000-22-22000000000000000000000000000000000000000000000000000006−66−6000000
χ984-44-4-244-4002-2-4-4424-44-400-2000000022-20-2200000000-22-2200000000000000000000000000000000000000000000000000000−66−66000000
χ994-44-4-24-44002-2-4-442-44-4400-2000000022-202-2000000002-22-2000000000000000000000000000000000000000000000000000006−6−66000000
χ1004-44-4-24-44002-2-4-442-44-4400-2000000022-202-2000000002-22-200000000000000000000000000000000000000000000000000000−666−6000000
χ1014-4-44440000-4-4-44-4400000040000000-44-400000000000000004-400004-4-440000000000000000000000000000000000000000000000000000
χ1024-4-44440000-4-4-44-4400000040000000-44-40000000000000000-440000-444-40000000000000000000000000000000000000000000000000000
χ1034-4-444-20000-4-42-22423−23−232300-200000002-220000000000023−23−232304-40000-222-223−23−2323000000000000000000000000000000000000000000000000
χ1044-4-444-20000-4-42-22423−23−232300-200000002-220000000000023−23−23230-4400002-2-22−232323−23000000000000000000000000000000000000000000000000
χ1054-4-444-20000-4-42-224−232323−2300-200000002-2200000000000−232323−2304-40000-222-2−232323−23000000000000000000000000000000000000000000000000
χ1064-4-444-20000-4-42-224−232323−2300-200000002-2200000000000−232323−230-4400002-2-2223−23−2323000000000000000000000000000000000000000000000000
χ1078-88-8-4-48-8004-444-44-44-440020000000-2-220-44000000002-22-2000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-88004-444-444-44-40020000000-2-2204-400000000-22-22000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-48000044-88-8-4000000-400000004-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-40000444-44-443−43−43430020000000-22-200000000000−232323−23000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-40000444-44-4−434343−430020000000-22-20000000000023−23−2323000000000000000000000000000000000000000000000000000000000000000

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