Finite Group Databasebeta

← Group #72222972

Character table — Group #72222972

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222334466666666121212121212121212121212181818242424242424484848484848545454727272727272108108108108108108108108108108108108
order123366223636666666366666666666266333666333666266666666244466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111
χ5222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000000
χ6222222222222222222222222222222-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111000000000000
χ72222222222-1222-12-1-1-122-1-1-1-1-1-1-1-1-1000222222-1-1-1-1-1-100000000002020000-1-1-1-1
χ82222222222-1222-12-1-1-122-1-1-1-1-1-1-1-1-1000222222-1-1-1-1-1-10000000000-20-200001111
χ922-12-1222-1-12-1-122222-1-1-122-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-122-1-1-1-1000000000000
χ1022-12-1222-1-12-1-122222-1-1-122-1-1-1-1-1-1-12-1-1-12-1-12-1-12-1-12-12-1-1-1-122-1-1000000000000
χ1122-12-1222-1-12-1-122222-1-1-122-1-1-1-1-1-1-12-1-1-1-12-1-12-1-12-1-122-1-1-1-1-1-122000000000000
χ1222-12-1222-1-12-1-122222-1-1-122-1-1-1-1-1-1-1-2112-1-12-1-12-1-12-1-1-211-2-21111000000000000
χ1322-12-1222-1-12-1-122222-1-1-122-1-1-1-1-1-1-1-211-12-1-12-1-12-1-12-1-21111-2-211000000000000
χ1422-12-1222-1-12-1-122222-1-1-122-1-1-1-1-1-1-1-211-1-12-1-12-1-12-1-12-2111111-2-2000000000000
χ152-222-2-22-22-222-2-222-2-222-22-2222-2-2-2-2000222-2-2-2222-2-2-2000000000000000000000
χ162-222-2-22-22-222-2-222-2-222-22-2222-2-2-2-2000-1-1-1111-1-1-1111000−i3i3−i3i3−i3i3000000000000
χ172-222-2-22-22-222-2-222-2-222-22-2222-2-2-2-2000-1-1-1111-1-1-1111000i3−i3i3−i3i3−i3000000000000
χ182-222-2-22-22-2-12-2-2-1211-12-2-11-1-1-11111000222-2-2-2-1-1-11110000000000000000033−3−3
χ192-222-2-22-22-2-12-2-2-1211-12-2-11-1-1-11111000222-2-2-2-1-1-111100000000000000000−3−333
χ202-2-121-22-2-112-11-222-2-2-1-112-2-1-1-111110−i3i32-1-1-2112-1-1-2110−i3i300−i3i3i3−i3000000000000
χ212-2-121-22-2-112-11-222-2-2-1-112-2-1-1-111110−i3i3-12-11-21-12-11-210−i3i3i3−i300−i3i3000000000000
χ222-2-121-22-2-112-11-222-2-2-1-112-2-1-1-111110−i3i3-1-1211-2-1-1211-20−i3i3−i3i3i3−i300000000000000
χ232-2-121-22-2-112-11-222-2-2-1-112-2-1-1-111110i3−i32-1-1-2112-1-1-2110i3−i300i3−i3−i3i3000000000000
χ242-2-121-22-2-112-11-222-2-2-1-112-2-1-1-111110i3−i3-12-11-21-12-11-210i3−i3−i3i300i3−i3000000000000
χ252-2-121-22-2-112-11-222-2-2-1-112-2-1-1-111110i3−i3-1-1211-2-1-1211-20i3−i3i3−i3−i3i300000000000000
χ26333333-1-1333-1-1-1-1-13-13-1-1-1-1-1-1-13-1-1-1333000000000000-1-1-100000011-1-111-1-11-11-1
χ27333333-1-1333-1-1-1-1-13-13-1-1-1-1-1-1-13-1-1-1333000000000000-1-1-1000000-1-111-1-111-11-11
χ28333333-1-1333-1-1-1-1-13-13-1-1-1-1-1-1-13-1-1-1-3-3-30000000000001110000001-1-1111-1-1-11-11
χ29333333-1-1333-1-1-1-1-13-13-1-1-1-1-1-1-13-1-1-1-3-3-3000000000000111000000-111-1-1-1111-11-1
χ304444444444-2444-24-2-2-244-2-2-2-2-2-2-2-2-2000-2-2-2-2-2-2111111000000000000000000000
χ3144-24-2444-2-2-2-2-24-24-2-21-2-2-2-211111110004-2-24-2-2-211-211000000000000000000000
χ3244-24-2444-2-2-2-2-24-24-2-21-2-2-2-21111111000-24-2-24-21-211-21000000000000000000000
χ3344-24-2444-2-2-2-2-24-24-2-21-2-2-2-21111111000-2-24-2-2411-211-2000000000000000000000
χ344-444-4-44-44-4-24-4-4-2422-24-4-22-2-2-22222000-2-2-2222111-1-1-1000000000000000000000
χ354-4-242-44-4-22-2-22-4-24221-22-22111-1-1-1-10004-2-2-422-2112-1-1000000000000000000000
χ364-4-242-44-4-22-2-22-4-24221-22-22111-1-1-1-1000-24-22-421-21-12-1000000000000000000000
χ374-4-242-44-4-22-2-22-4-24221-22-22111-1-1-1-1000-2-2422-411-2-1-12000000000000000000000
χ38666666-2-266-3-2-2-21-2-31-3-2-211111-3111000000000000000000000000020-20000-11-11
χ39666666-2-266-3-2-2-21-2-31-3-2-211111-31110000000000000000000000000-20200001-11-1
χ40666-36-366-3-3066-30-3000-3-30000000000000000000000000000000002020-1-1-1-10000
χ41666-36-366-3-3066-30-3000-3-3000000000000000000000000000000000-20-2011110000
χ42666-36-3-2-2-3-30-2-214104011-2-24-2-204-2-200000000000000000000000020-20-1-1110000
χ43666-36-3-2-2-3-30-2-214104011-2-24-2-204-2-2000000000000000000000000-202011-1-10000
χ4466-36-36-2-2-3-3611-2-2-26-2-311-2-2111-31116-3-3000000000000-211000000000000000000
χ4566-36-36-2-2-3-3611-2-2-26-2-311-2-2111-3111-6330000000000002-1-1000000000000000000
χ466-666-6-6-226-66-222-2-2-626-22-22-2-2-2-6222000000000000000000000000000000000000
χ476-666-6-6-226-6-3-2221-23-1-3-221-11113-1-1-1000000000000000000000000000000003−3−33
χ486-666-6-6-226-6-3-2221-23-1-3-221-11113-1-1-100000000000000000000000000000000−333−3
χ496-66-3-636-6-3306-630-3000-330000000000000000000000000000000000000−i3i3−i3i30000
χ506-66-3-636-6-3306-630-3000-330000000000000000000000000000000000000i3−i3i3−i30000
χ516-66-3-63-22-330-22-1410-401-1-224-2-20-4220000000000000000000000000000−i3i3i3−i30000
χ526-66-3-63-22-330-22-1410-401-1-224-2-20-4220000000000000000000000000000i3−i3−i3i30000
χ536-6-363-6-22-3361-12-2-2-62-31-1-221113-1-1-10−3i33i30000000000000i3−i3000000000000000000
χ546-6-363-6-22-3361-12-2-2-62-31-1-221113-1-1-103i3−3i30000000000000−i3i3000000000000000000
χ55121212-612-6-4-4-6-60-4-42-420-402222-4220-422000000000000000000000000000000000000
χ561212-612-612-4-4-6-6-622-42-4-6232222-1-1-13-1-1-1000000000000000000000000000000000000
χ571212-6-6-6-61212330-6-6-60-600033000000000000000000000000000000000000000000000
χ581212-6-6-6-6-4-433022282080-1-1-4-4-4220-422000000000000000000000000000000000000
χ591212-6-6-6-6-4-4330222-420-40-1-1222−1−3i3−1+3i302−1−3i3−1+3i3000000000000000000000000000000000000
χ601212-6-6-6-6-4-4330222-420-40-1-1222−1+3i3−1−3i302−1+3i3−1−3i3000000000000000000000000000000000000
χ6112-1212-6-126-44-660-44-2-420402-22-2-42204-2-2000000000000000000000000000000000000
χ6212-12-6126-12-44-66-62-242-46-232-22-2-1-1-1-3111000000000000000000000000000000000000
χ6312-12-6-66612-123-30-6660-60003-3000000000000000000000000000000000000000000000
χ6412-12-6-666-443-302-2-2820-80-11-44-42204-2-2000000000000000000000000000000000000
χ6512-12-6-666-443-302-2-2-42040-112-22−1−3i3−1+3i30-21+3i31−3i3000000000000000000000000000000000000
χ6612-12-6-666-443-302-2-2-42040-112-22−1+3i3−1−3i30-21−3i31+3i3000000000000000000000000000000000000

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