Finite Group Databasebeta

← Group #11721141

Character table — Group #11721141

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222224466666666666612121212121212121212181818181818181818181818363636363636363636363636
order122234466612123366666612121212366612121212121222446666121212122244666612121212
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-1
χ611111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-111
χ711111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111
χ811111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1
χ92222222222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000
χ102222222222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1000000000000-2-20011110000
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
χ1322222-2-2222-2-22-122-1-1-12-2-2-2-2-1-1-1-11111110000000000002-200-1-1110000
χ1422222-2-2222-2-22-122-1-1-12-2-2-2-2-1-1-1-1111111000000000000-220011-1-10000
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
χ1722-2-22002-2-200222-22-2-2-2000022-2-2000000002i−2i00002i2i−2i−2i000000000000
χ1822-2-22002-2-200222-22-2-2-2000022-2-200000000−2i2i0000−2i−2i2i2i000000000000
χ1922-2-22002-2-200-12-112-2-2133−3−3-1-1110033−3−3002i−2i−i3−i3i3i3−i−iii000000000000
χ2022-2-22002-2-200-12-112-2-2133−3−3-1-1110033−3−300−2i2ii3i3−i3−i3ii−i−i000000000000
χ2122-2-22002-2-200-12-112-2-21−3−333-1-11100−3−333002i−2ii3i3−i3−i3−i−iii000000000000
χ2222-2-22002-2-200-12-112-2-21−3−333-1-11100−3−33300−2i2i−i3−i3i3i3ii−i−i000000000000
χ232-22-222-2-22-22-222-2-2-2-2222-22-22-2-222-22-22-2000000000000000000000000
χ242-22-222-2-22-22-22-1-2-211-122-22-2-111-1-11-11-110000000000000000−i3i3−i3i30000
χ252-22-222-2-22-22-22-1-2-211-122-22-2-111-1-11-11-110000000000000000i3−i3i3−i30000
χ262-22-222-2-22-22-2-1211-2-22-1-11-11-111-12-2-11-110000−i3i3−i3i3−i3i3−i3i3000000000000
χ272-22-222-2-22-22-2-1211-2-22-1-11-11-111-12-2-11-110000i3−i3i3−i3i3−i3i3−i3000000000000
χ282-22-22-22-22-2-2222-2-2-2-222-22-222-2-22-22-22-22000000000000000000000000
χ292-22-22-22-22-2-222-1-2-211-12-22-22-111-11-11-11-10000000000000000−i3i3i3−i30000
χ302-22-22-22-22-2-222-1-2-211-12-22-22-111-11-11-11-10000000000000000i3−i3−i3i30000
χ312-22-22-22-22-2-22-1211-2-22-11-11-1-111-1-221-11-10000−i3i3−i3i3i3−i3i3−i3000000000000
χ322-22-22-22-22-2-22-1211-2-22-11-11-1-111-1-221-11-10000i3−i3i3−i3−i3i3−i3i3000000000000
χ332-2-22200-2-220022-22-22-2-200002-22-20000002-2002-2-220000000000000000
χ342-2-22200-2-220022-22-22-2-200002-22-2000000-2200-222-20000000000000000
χ352-2-22200-2-2200-121-1-22-213−3−33-11-11003−3−332-200-111-13−3−33000000000000
χ362-2-22200-2-2200-121-1-22-213−3−33-11-11003−3−33-22001-1-11−333−3000000000000
χ372-2-22200-2-2200-121-1-22-21−333−3-11-1100−333−32-200-111-1−333−3000000000000
χ382-2-22200-2-2200-121-1-22-21−333−3-11-1100−333−3-22001-1-113−3−33000000000000
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
χ4144-4-44004-4-4004-24-4-222-40000-2-222000000000000000000000000000000
χ4244-4-44004-4-400-2-2-22-22222323−23−2311-1-100−3−333000000000000000000000000
χ4344-4-44004-4-400-2-2-22-2222−23−23232311-1-10033−3−3000000000000000000000000
χ444-44-444-4-44-44-4-2-22222-2-2-22-221-1-11-221-11-1000000000000000000000000
χ454-44-44-44-44-4-44-2-22222-2-22-22-21-1-112-2-11-11000000000000000000000000
χ464-4-44400-4-44004-2-442-22-40000-22-22000000000000000000000000000000
χ474-4-44400-4-4400-2-22-22-22223−23−23231-11-100−333−3000000000000000000000000
χ484-4-44400-4-4400-2-22-22-222−232323−231-11-1003−3−33000000000000000000000000
χ496666-366-3-3-3-3-3000000000000000000000000000000000000220000-1-1-1-1
χ506666-366-3-3-3-3-3000000000000000000000000000000000000-2-200001111
χ516666-3-6-6-3-3-3330000000000000000000000000000000000002-20000-1-111
χ526666-3-6-6-3-3-333000000000000000000000000000000000000-22000011-1-1
χ536-66-6-36-63-33-330000000000000000000000000000000000000000003−33−3
χ546-66-6-36-63-33-33000000000000000000000000000000000000000000−33−33
χ556-66-6-3-663-333-30000000000000000000000000000000000000000003−3−33
χ566-66-6-3-663-333-3000000000000000000000000000000000000000000−333−3
χ571212-12-12-600-666000000000000000000000000000000000000000000000000
χ5812-12-1212-60066-6000000000000000000000000000000000000000000000000

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