Finite Group Databasebeta

← Group #11721140

Character table — Group #11721140

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222224466666666666612121212121212121212181818181818181818181818363636363636363636363636
order122234466612123366666612121212366612121212121222446666121212122244666612121212
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
χ511111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-1-1-111
χ611111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-11111-1-1
χ711111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1
χ811111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111
χ92222222222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1000000000000020200-1-100-1-1
χ102222222222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-10000000000000-20-200110011
χ11222222222222-12-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ12222222222222-12-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111000000000000
χ1322222-2-2222-2-22-122-1-1-12-2-2-2-2-1-1-1-1111111000000000000020-200-1-10011
χ1422222-2-2222-2-22-122-1-1-12-2-2-2-2-1-1-1-11111110000000000000-202001100-1-1
χ1522222-2-2222-2-2-12-1-1222-11111-1-1-1-1-2-2111122-2-2-1-1-1-11111000000000000
χ1622222-2-2222-2-2-12-1-1222-11111-1-1-1-1-2-21111-2-2221111-1-1-1-1000000000000
χ1722-2-222i−2i2-2-22i−2i222-22-2-2-22i2i−2i−2i22-2-22i−2i2i2i−2i−2i000000000000000000000000
χ1822-2-222i−2i2-2-22i−2i2-12-2-111-22i2i−2i−2i-1-111−ii−i−iii000000000000000000−i3i3003−3
χ1922-2-222i−2i2-2-22i−2i2-12-2-111-22i2i−2i−2i-1-111−ii−i−iii000000000000000000i3−i300−33
χ2022-2-222i−2i2-2-22i−2i-12-112-2-21−i−iii-1-1112i−2i−i−iii0000−i3−i3i3i333−3−3000000000000
χ2122-2-222i−2i2-2-22i−2i-12-112-2-21−i−iii-1-1112i−2i−i−iii0000i3i3−i3−i3−3−333000000000000
χ2222-2-22−2i2i2-2-2−2i2i222-22-2-2-2−2i−2i2i2i22-2-2−2i2i−2i−2i2i2i000000000000000000000000
χ2322-2-22−2i2i2-2-2−2i2i2-12-2-111-2−2i−2i2i2i-1-111i−iii−i−i000000000000000000−i3i300−33
χ2422-2-22−2i2i2-2-2−2i2i2-12-2-111-2−2i−2i2i2i-1-111i−iii−i−i000000000000000000i3−i3003−3
χ2522-2-22−2i2i2-2-2−2i2i-12-112-2-21ii−i−i-1-111−2i2iii−i−i0000−i3−i3i3i3−3−333000000000000
χ2622-2-22−2i2i2-2-2−2i2i-12-112-2-21ii−i−i-1-111−2i2iii−i−i0000i3i3−i3−i333−3−3000000000000
χ272-22-2200-22-20022-2-2-22-2200002-2-22000000002-200002-22-2000000000000
χ282-22-2200-22-20022-2-2-22-2200002-2-2200000000-220000-22-22000000000000
χ292-22-2200-22-200-1211-22-2-1−i3i3−i3i3-111-100−i3i3−i3i3002-2−i3i3−i3i3-11-11000000000000
χ302-22-2200-22-200-1211-22-2-1−i3i3−i3i3-111-100−i3i3−i3i300-22i3−i3i3−i31-11-1000000000000
χ312-22-2200-22-200-1211-22-2-1i3−i3i3−i3-111-100i3−i3i3−i3002-2i3−i3i3−i3-11-11000000000000
χ322-22-2200-22-200-1211-22-2-1i3−i3i3−i3-111-100i3−i3i3−i300-22−i3i3−i3i31-11-1000000000000
χ332-2-22200-2-220022-22-2-22-200002-22-20000002-2002-2-220000000000000000
χ342-2-22200-2-220022-22-2-22-200002-22-2000000-2200-222-20000000000000000
χ352-2-22200-2-2200-121-1-2-2213−3−33-11-11003−3−332-200-111-13−3−33000000000000
χ362-2-22200-2-2200-121-1-2-2213−3−33-11-11003−3−33-22001-1-11−333−3000000000000
χ372-2-22200-2-2200-121-1-2-221−333−3-11-1100−333−32-200-111-1−333−3000000000000
χ382-2-22200-2-2200-121-1-2-221−333−3-11-1100−333−3-22001-1-113−3−33000000000000
χ39444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-21111000000000000000000000000
χ4044444-4-4444-4-4-2-2-2-2-2-2-2-22222111122-1-1-1-1000000000000000000000000
χ4144-4-444i−4i4-4-44i−4i-2-2-22-2222−2i−2i2i2i11-1-1−2i2iii−i−i000000000000000000000000
χ4244-4-44−4i4i4-4-4−4i4i-2-2-22-22222i2i−2i−2i11-1-12i−2i−i−iii000000000000000000000000
χ434-44-4400-44-4004-2-4-42-2240000-222-2000000000000000000000000000000
χ444-44-4400-44-400-2-2222-22-2−2i32i3−2i32i31-1-1100i3−i3i3−i3000000000000000000000000
χ454-44-4400-44-400-2-2222-22-22i3−2i32i3−2i31-1-1100−i3i3−i3i3000000000000000000000000
χ464-4-44400-4-44004-2-4422-2-40000-22-22000000000000000000000000000000
χ474-4-44400-4-4400-2-22-222-2223−23−23231-11-100−333−3000000000000000000000000
χ484-4-44400-4-4400-2-22-222-22−232323−231-11-1003−3−33000000000000000000000000
χ496666-366-3-3-3-3-300000000000000000000000000000000002020-1-100-1-100
χ506666-366-3-3-3-3-30000000000000000000000000000000000-20-2011001100
χ516666-3-6-6-3-3-333000000000000000000000000000000000020-20-1-1001100
χ526666-3-6-6-3-3-3330000000000000000000000000000000000-20201100-1-100
χ5366-6-6-36i−6i-333−3i3i00000000000000000000000000000000000000−i3i3003−300
χ5466-6-6-36i−6i-333−3i3i00000000000000000000000000000000000000i3−i300−3300
χ5566-6-6-3−6i6i-3333i−3i00000000000000000000000000000000000000−i3i300−3300
χ5666-6-6-3−6i6i-3333i−3i00000000000000000000000000000000000000i3−i3003−300
χ5712-1212-12-6006-66000000000000000000000000000000000000000000000000
χ5812-12-1212-60066-6000000000000000000000000000000000000000000000000

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