Finite Group Databasebeta

← Group #72241507

Character table — Group #72241507

Order 3456.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112233336666888899161616161818242424243636363648484848646464646464727272727272727272727272108108108108144144144144144144144144
order123622226666336622336666666624446666333666244466121212121212244466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1
χ31111111111111111111111111111-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111
χ41111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ52222222222222-1-12222-12-1222-12-1200222-1-1-1-1-1-1-1-10000000000002002-1-100-1-100
χ62222222222222-1-12222-12-1222-12-1-200-222-1-1-1-1-1-1-1-1000000000000-200-211001100
χ7222222222222-122-122-12-1222-12-120220-1-122-1-1-1-1-1-1000000000000022000-1-100-1-1
χ8222222222222-122-122-12-1222-12-120-2-20-1-122-1-1-1-1-1-10000000000000-2-2000110011
χ922-1-12222-1-1-1-1222222-1-1-1-1-1-122220000-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-1000000000000
χ1022-1-12222-1-1-1-1222222-1-1-1-1-1-122220000-1-1-1-12-1-12-1-1-2-2-2-211111111000000000000
χ112-22-2-22-22-2-22222-2-2-2222-2-2-222-2-2200002-22-2222-2-2-2000000000000000000000000
χ122-22-2-22-22-2-2222-11-2-222-1-21-2221-2-100002-2-11-1-1-11110000000000000000−i3i300−i3i300
χ132-22-2-22-22-2-2222-11-2-222-1-21-2221-2-100002-2-11-1-1-11110000000000000000i3−i300i3−i300
χ142-22-2-22-22-2-222-12-21-22-121-2-22-1-2120000-112-2-1-1-11110000000000000000003−3003−3
χ152-22-2-22-22-2-222-12-21-22-121-2-22-1-2120000-112-2-1-1-1111000000000000000000−3300−33
χ162-2-11-22-2211-1-122-2-2-22-1-1111-12-2-220000-11-112-1-1-2110000−i3i3−i3−i3i3i3−i3i3000000000000
χ172-2-11-22-2211-1-122-2-2-22-1-1111-12-2-220000-11-112-1-1-2110000i3−i3i3i3−i3−i3i3−i3000000000000
χ1833333-1-133-13-13003-1-13030-1-1-10-1031-13-1-1000000001-11-1111-11-1-1-1-11-1-1001100-1-1
χ1933333-1-133-13-13003-1-13030-1-1-10-103-113-1-100000000-11-11-1-1-11-1111-1-11-100-1-10011
χ2033333-1-133-13-13003-1-13030-1-1-10-10-31-1-3-1-100000000-11-11-1-1-11-111111-11001100-1-1
χ2133333-1-133-13-13003-1-13030-1-1-10-10-3-11-3-1-1000000001-11-1111-11-1-1-11-11100-1-10011
χ223333-133-1-13-130330-1-10303-1-10-10-1133-100-1-100000011-1-111-11-11-1-11-1-1-11100-1-100
χ233333-133-1-13-130330-1-10303-1-10-10-11-3-3-100-1-1000000-1-111-1-11-11-111111-11100-1-100
χ243333-133-1-13-130330-1-10303-1-10-10-1-133100-1-1000000-1-111-1-11-11-111-1-1-11-1-1001100
χ253333-133-1-13-130330-1-10303-1-10-10-1-1-3-3100-1-100000011-1-111-11-11-1-1-1111-1-1001100
χ26444444444444-2-2-2-244-2-2-2-244-2-2-2-20000-2-2-2-2111111000000000000000000000000
χ2744-2-24444-2-2-2-24-2-2444-21-21-2-24-24-20000-2-211-211-211000000000000000000000000
χ2844-2-24444-2-2-2-2-244-2441-21-2-2-2-24-24000011-2-2-211-211000000000000000000000000
χ2944-2-24444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-2000011111−1−3i32−1+3i321−1−3i32−1+3i32000000000000000000000000
χ3044-2-24444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-2000011111−1+3i32−1−3i321−1+3i32−1−3i32000000000000000000000000
χ314-44-4-44-44-4-444-2-222-44-2-222-44-222-20000-22-22111-1-1-1000000000000000000000000
χ324-4-22-44-4422-2-24-22-4-44-212-12-242-4-20000-221-1-2112-1-1000000000000000000000000
χ334-4-22-44-4422-2-2-24-42-441-2-122-2-2-42400001-1-22-2112-1-1000000000000000000000000
χ344-4-22-44-4422-2-2-2-222-4411-1-12-2-222-200001-11-11−1−3i32−1+3i32-11+3i321−3i32000000000000000000000000
χ354-4-22-44-4422-2-2-2-222-4411-1-12-2-222-200001-11-11−1+3i32−1−3i32-11−3i321+3i32000000000000000000000000
χ3666666-2-266-26-2-300-3-2-2-30-30-2-2101002-20110000000000000000000002-2000-1-10011
χ3766666-2-266-26-2-300-3-2-2-30-30-2-210100-22011000000000000000000000-220001100-1-1
χ386666-266-2-26-260-3-30-2-20-30-3-2-20101200-20011000000000000000000200-2-1-1001100
χ396666-266-2-26-260-3-30-2-20-30-3-2-20101-20020011000000000000000000-20021100-1-100
χ4066-3-36-2-26-31-316006-2-2-30-3011-20-20000011000000002-22-2-1-1-11-1111000000000000
χ4166-3-36-2-26-31-316006-2-2-30-3011-20-2000001100000000-22-22111-11-1-1-1000000000000
χ4266-3-3-266-21-31-30660-2-20-30-3110-20-20000001100000022-2-2-1-11-11-111000000000000
χ4366-3-3-266-21-31-30660-2-20-30-3110-20-200000011000000-2-22211-11-11-1-1000000000000
χ446-66-626-6-22-6-2606-602-2060-62-2020-2000000-22000000000000000000000000000000
χ456-66-626-6-22-6-260-3302-20-3032-20-1010000001-10000000000000000000000−i3i300i3−i300
χ466-66-626-6-22-6-260-3302-20-3032-20-1010000001-10000000000000000000000i3−i300−i3i300
χ476-66-6-6-226-626-2600-62-260-602-2-20200000-2200000000000000000000000000000000
χ486-66-6-6-226-626-2-30032-2-30302-210-1000001-1000000000000000000000000003−300−33
χ496-66-6-6-226-626-2-30032-2-30302-210-1000001-100000000000000000000000000−33003−3
χ506-6-3326-6-2-131-306-602-20-303-11020-20000001-10000000000−i3i3i3−i3−i3i3i3−i3000000000000
χ516-6-3326-6-2-131-306-602-20-303-11020-20000001-10000000000i3−i3−i3i3i3−i3−i3i3000000000000
χ526-6-33-6-2263-1-31600-62-2-3030-11-202000001-1000000000000−i3i3−i3i3i3−i3i3−i3000000000000
χ536-6-33-6-2263-1-31600-62-2-3030-11-202000001-1000000000000i3−i3i3−i3−i3i3−i3i3000000000000
χ549999-3-3-3-3-3-3-3-3000011000011000033-3-300000000001-1-1111-1-1-1-111-1-11100000000
χ559999-3-3-3-3-3-3-3-300001100001100003-33-30000000000-111-1-1-11111-1-1-11-1100000000
χ569999-3-3-3-3-3-3-3-30000110000110000-33-330000000000-111-1-1-11111-1-11-11-100000000
χ579999-3-3-3-3-3-3-3-30000110000110000-3-33300000000001-1-1111-1-1-1-11111-1-100000000
χ581212-6-612-4-412-62-62-600-6-4-430302220200000-1-100000000000000000000000000000000
χ591212-6-6-41212-42-62-60-6-60-4-40303220202000000-1-1000000000000000000000000000000
χ6012-12-66412-12-4-262-60-6604-4030-3-220-202000000-11000000000000000000000000000000
χ6112-12-66-12-44126-2-62-60064-430-30-2220-200000-1100000000000000000000000000000000
χ621818-9-9-6-6-6-633330000220000-1-10000000000000000002-2-22-1-11111-1-1000000000000
χ631818-9-9-6-6-6-633330000220000-1-1000000000000000000-222-211-1-1-1-111000000000000
χ6418-1818-186-66-666-6-60000-220000-22000000000000000000000000000000000000000000
χ6518-18-996-66-6-3-3330000-2200001-10000000000000000000000−i3i3i3i3−i3−i3−i3i3000000000000
χ6618-18-996-66-6-3-3330000-2200001-10000000000000000000000i3−i3−i3−i3i3i3i3−i3000000000000

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