Finite Group Databasebeta

← Group #11721145

Character table — Group #11721145

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size1111222222222266666666121212121212121212121212181818181818181818181818363636363636363636363636
order1222344666121212123366666636661212121212121212444412121212121212122244666612121212
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ511111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-1-1-111
χ611111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-11111-1-1
χ711111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1
χ811111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111
χ9222222222222222-12-12-12-1-1-1-1-122-1-1-1-1-1-1000000000000020200-1-100-1-1
χ10222222222222222-12-12-12-1-1-1-1-122-1-1-1-1-1-10000000000000-20-200110011
χ1122222222222222-12-12-12-12-1-1-1-1-1-122-1-1-1-10000000000002020-1-100-1-100
χ1222222222222222-12-12-12-12-1-1-1-1-1-122-1-1-1-1000000000000-20-2011001100
χ1322222-2-2222-2-2-2-22-12-12-12-1-1-1-1-1-2-2111111000000000000020-200-1-10011
χ1422222-2-2222-2-2-2-22-12-12-12-1-1-1-1-1-2-21111110000000000000-202001100-1-1
χ1522222-2-2222-2-2-2-2-12-12-12-12-1-1-1-111-2-2111100000000000020-20-1-1001100
χ1622222-2-2222-2-2-2-2-12-12-12-12-1-1-1-111-2-21111000000000000-20201100-1-100
χ1722-2-22002-2-2000022-2-222-2-22-2-22000000002i−2i002i2i−2i−2i0000000000000000
χ1822-2-22002-2-2000022-2-222-2-22-2-2200000000−2i2i00−2i−2i2i2i0000000000000000
χ192-22-222i−2i-22-22i2i−2i−2i2222-2-2-2-222-2-22i−2i2i−2i2i2i−2i−2i000000000000000000000000
χ202-22-222i−2i-22-22i2i−2i−2i2-12-1-21-21-1-1112i−2i−ii−i−iii000000000000000000−i3i3003−3
χ212-22-222i−2i-22-22i2i−2i−2i2-12-1-21-21-1-1112i−2i−ii−i−iii000000000000000000i3−i300−33
χ222-22-222i−2i-22-22i2i−2i−2i-12-121-21-2-1-111−ii2i−2i−i−iii0000000000000000−i3i3003−300
χ232-22-222i−2i-22-22i2i−2i−2i-12-121-21-2-1-111−ii2i−2i−i−iii0000000000000000i3−i300−3300
χ242-22-22−2i2i-22-2−2i−2i2i2i2222-2-2-2-222-2-2−2i2i−2i2i−2i−2i2i2i000000000000000000000000
χ252-22-22−2i2i-22-2−2i−2i2i2i2-12-1-21-21-1-111−2i2ii−iii−i−i000000000000000000−i3i300−33
χ262-22-22−2i2i-22-2−2i−2i2i2i2-12-1-21-21-1-111−2i2ii−iii−i−i000000000000000000i3−i3003−3
χ272-22-22−2i2i-22-2−2i−2i2i2i-12-121-21-2-1-111i−i−2i2iii−i−i0000000000000000−i3i300−3300
χ282-22-22−2i2i-22-2−2i−2i2i2i-12-121-21-2-1-111i−i−2i2iii−i−i0000000000000000i3−i3003−300
χ292-2-22200-2-22000022-2-2-2-2222-22-200000000002-2000022-2-2000000000000
χ302-2-22200-2-22000022-2-2-2-2222-22-20000000000-220000-2-222000000000000
χ3144444444444444-2-2-2-2-2-2-2-21111-2-2-2-21111000000000000000000000000
χ3244444-4-4444-4-4-4-4-2-2-2-2-2-2-2-211112222-1-1-1-1000000000000000000000000
χ3344-4-44004-4-400004-2-424-2-42-222-200000000000000000000000000000000
χ3444-4-44004-4-40000-242-4-242-4-222-200000000000000000000000000000000
χ3544-4-44004-4-40000-2-222-2-2221-1-1100003-33-3000000000000000000000000
χ3644-4-44004-4-40000-2-222-2-2221-1-110000-33-33000000000000000000000000
χ374-44-444i−4i-44-44i4i−4i−4i-2-2-2-2222211-1-1−2i2i−2i2iii−i−i000000000000000000000000
χ384-44-44−4i4i-44-4−4i−4i4i4i-2-2-2-2222211-1-12i−2i2i−2i−i−iii000000000000000000000000
χ394-4-44400-4-4400004-2-42-424-2-22-2200000000000000000000000000000000
χ404-4-44400-4-440000-242-42-4-24-22-2200000000000000000000000000000000
χ414-4-44400-4-440000-2-22222-2-21-11-100003i−3i−3i3i000000000000000000000000
χ424-4-44400-4-440000-2-22222-2-21-11-10000−3i3i3i−3i000000000000000000000000
χ436666-366-3-3-3-3-3-3-3000000000000000000002222-1-1-1-1-1-1-1-1000000000000
χ446666-366-3-3-3-3-3-3-300000000000000000000-2-2-2-211111111000000000000
χ456666-3-6-6-3-3-333330000000000000000000022-2-2-1-1-1-11111000000000000
χ466666-3-6-6-3-3-3333300000000000000000000-2-2221111-1-1-1-1000000000000
χ4766-6-6-300-333−3i33i3−3i33i3000000000000000000002i−2i00−i−iii3−33−3000000000000
χ4866-6-6-300-333−3i33i3−3i33i300000000000000000000−2i2i00ii−i−i−33−33000000000000
χ4966-6-6-300-3333i3−3i33i3−3i3000000000000000000002i−2i00−i−iii−33−33000000000000
χ5066-6-6-300-3333i3−3i33i3−3i300000000000000000000−2i2i00ii−i−i3−33−3000000000000
χ516-66-6-36i−6i3-33−3i−3i3i3i000000000000000000000000−i3i3−i3i33−3−33000000000000
χ526-66-6-36i−6i3-33−3i−3i3i3i000000000000000000000000i3−i3i3−i3−333−3000000000000
χ536-66-6-3−6i6i3-333i3i−3i−3i000000000000000000000000−i3i3−i3i3−333−3000000000000
χ546-66-6-3−6i6i3-333i3i−3i−3i000000000000000000000000i3−i3i3−i33−3−33000000000000
χ556-6-66-30033-333−33−333300000000000000000000002-2−333−3-1-111000000000000
χ566-6-66-30033-333−33−33330000000000000000000000-223−3−3311-1-1000000000000
χ576-6-66-30033-3−333333−3300000000000000000000002-23−3−33-1-111000000000000
χ586-6-66-30033-3−333333−330000000000000000000000-22−333−311-1-1000000000000

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