Finite Group Databasebeta

← Group #72344072

Character table — Group #72344072

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size1111226666661212121212121224242424323232323232323248484848484811112266666612121212121212242424243232323232323232484848484848
order1222442244442244444444436661212121222888822224422444422444444444666612121212228888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-1-1-111111111-1-1-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ31111-1-111111111-1-1-1-1-111-1-11111-1-1-1-11-111-1-11111-1-111111111-1-1-1-1-111-1-11111-1-1-1-11-111-1-1
χ41111-1-111111111-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1111111-1-111111111-1-1-1-1-1-1-1111111-1-1-1-1-11-1-111
χ522222222222222222220000-1-1-1-1-1-1-1-100000022222222222222222220000-1-1-1-1-1-1-1-1000000
χ62222-2-222222222-2-2-2-2-20000-1-1-1-111110000002222-2-222222222-2-2-2-2-20000-1-1-1-11111000000
χ722-2-200-22-2-2222-200000000022-2-2000000000022-2-200-22-2-2222-200000000022-2-20000000000
χ822-2-200-22-2-2222-2000000000-1-11133−3−300000022-2-200-22-2-2222-2000000000-1-11133−3−3000000
χ922-2-200-22-2-2222-2000000000-1-111−3−33300000022-2-200-22-2-2222-2000000000-1-111−3−333000000
χ1033333333-1-1-1-1-1-1-1-13-1-111110000000011-1-1-1-133333333-1-1-1-1-1-1-1-13-1-111110000000011-1-1-1-1
χ1133333333-1-1-1-1-1-1-1-13-1-1-1-1-1-100000000-1-1111133333333-1-1-1-1-1-1-1-13-1-1-1-1-1-100000000-1-11111
χ12333333-1-13-13-1-1-13-1-1-1-1111100000000-1-11-11-1333333-1-13-13-1-1-13-1-1-1-1111100000000-1-11-11-1
χ13333333-1-13-13-1-1-13-1-1-1-1-1-1-1-10000000011-11-11333333-1-13-13-1-1-13-1-1-1-1-1-1-1-10000000011-11-11
χ14333333-1-1-13-13-1-1-13-1-1-1111100000000-1-1-11-11333333-1-1-13-13-1-1-13-1-1-1111100000000-1-1-11-11
χ15333333-1-1-13-13-1-1-13-1-1-1-1-1-1-100000000111-11-1333333-1-1-13-13-1-1-13-1-1-1-1-1-1-100000000111-11-1
χ163333-3-333-1-1-1-1-1-111-31111-1-1000000001-1-1-1113333-3-333-1-1-1-1-1-111-31111-1-1000000001-1-1-111
χ173333-3-333-1-1-1-1-1-111-311-1-11100000000-1111-1-13333-3-333-1-1-1-1-1-111-311-1-11100000000-1111-1-1
χ183333-3-3-1-13-13-1-1-1-3111111-1-100000000-111-1-113333-3-3-1-13-13-1-1-1-3111111-1-100000000-111-1-11
χ193333-3-3-1-13-13-1-1-1-31111-1-111000000001-1-111-13333-3-3-1-13-13-1-1-1-31111-1-111000000001-1-111-1
χ203333-3-3-1-1-13-13-1-11-311111-1-100000000-11-111-13333-3-3-1-1-13-13-1-11-311111-1-100000000-11-111-1
χ213333-3-3-1-1-13-13-1-11-3111-1-111000000001-11-1-113333-3-3-1-1-13-13-1-11-3111-1-111000000001-11-1-11
χ224-4-444-400000000000002-22-21-1-111-11-10000004-4-444-400000000000002-22-21-1-111-11-1000000
χ234-4-444-40000000000000-22-221-1-111-11-10000004-4-444-40000000000000-22-221-1-111-11-1000000
χ244-4-44-4400000000000002-2-221-1-11-11-110000004-4-44-4400000000000002-2-221-1-11-11-11000000
χ254-4-44-440000000000000-222-21-1-11-11-110000004-4-44-440000000000000-222-21-1-11-11-11000000
χ26666666-2-2-2-2-2-222-2-2-222000000000000000000666666-2-2-2-2-2-222-2-2-222000000000000000000
χ276666-6-6-2-2-2-2-2-222222-2-20000000000000000006666-6-6-2-2-2-2-2-222222-2-2000000000000000000
χ2866-6-6002-222-2-22-20004i−4i00000000000000000066-6-6002-222-2-22-20004i−4i000000000000000000
χ2966-6-6002-222-2-22-2000−4i4i00000000000000000066-6-6002-222-2-22-2000−4i4i000000000000000000
χ3066-6-6002-22-6-26-220000000000000000000000066-6-6002-22-6-26-2200000000000000000000000
χ3166-6-6002-2-626-2-220000000000000000000000066-6-6002-2-626-2-2200000000000000000000000
χ3266-6-600-6622-2-2-220000000000000000000000066-6-600-6622-2-2-2200000000000000000000000
χ338-88-800000000000000000002-22-200000000008-88-800000000000000000002-22-20000000000
χ348-88-80000000000000000000-11-113−3−330000008-88-80000000000000000000-11-113−3−33000000
χ358-88-80000000000000000000-11-11−333−30000008-88-80000000000000000000-11-11−333−3000000
χ368-8-888-800000000000000000-111-1-11-110000008-8-888-800000000000000000-111-1-11-11000000
χ378-8-88-8800000000000000000-111-11-11-10000008-8-88-8800000000000000000-111-11-11-1000000
χ381111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ391111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ401111-1-111111111-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-1-1-11111-11-1-111
χ411111-1-111111111-1-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111-111-1-1
χ4222222222222222222220000-1-1-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000011111111000000
χ432222-2-222222222-2-2-2-2-20000-1-1-1-11111000000-2-2-2-222-2-2-2-2-2-2-2-22222200001111-1-1-1-1000000
χ4422-2-200-22-2-2222-200000000022-2-20000000000-2-222002-222-2-2-22000000000-2-2220000000000
χ4522-2-200-22-2-2222-2000000000-1-11133−3−3000000-2-222002-222-2-2-2200000000011-1-1−3−333000000
χ4622-2-200-22-2-2222-2000000000-1-111−3−333000000-2-222002-222-2-2-2200000000011-1-133−3−3000000
χ4733333333-1-1-1-1-1-1-1-13-1-111110000000011-1-1-1-1-3-3-3-3-3-3-3-311111111-311-1-1-1-100000000-1-11111
χ4833333333-1-1-1-1-1-1-1-13-1-1-1-1-1-100000000-1-11111-3-3-3-3-3-3-3-311111111-31111110000000011-1-1-1-1
χ49333333-1-13-13-1-1-13-1-1-1-1111100000000-1-11-11-1-3-3-3-3-3-311-31-3111-31111-1-1-1-10000000011-11-11
χ50333333-1-13-13-1-1-13-1-1-1-1-1-1-1-10000000011-11-11-3-3-3-3-3-311-31-3111-31111111100000000-1-11-11-1
χ51333333-1-1-13-13-1-1-13-1-1-1111100000000-1-1-11-11-3-3-3-3-3-3111-31-3111-3111-1-1-1-100000000111-11-1
χ52333333-1-1-13-13-1-1-13-1-1-1-1-1-1-100000000111-11-1-3-3-3-3-3-3111-31-3111-3111111100000000-1-1-11-11
χ533333-3-333-1-1-1-1-1-111-31111-1-1000000001-1-1-111-3-3-3-333-3-3111111-1-13-1-1-1-11100000000-1111-1-1
χ543333-3-333-1-1-1-1-1-111-311-1-11100000000-1111-1-1-3-3-3-333-3-3111111-1-13-1-111-1-1000000001-1-1-111
χ553333-3-3-1-13-13-1-1-1-3111111-1-100000000-111-1-11-3-3-3-33311-31-31113-1-1-1-1-1-111000000001-1-111-1
χ563333-3-3-1-13-13-1-1-1-31111-1-111000000001-1-111-1-3-3-3-33311-31-31113-1-1-1-111-1-100000000-111-1-11
χ573333-3-3-1-1-13-13-1-11-311111-1-100000000-11-111-1-3-3-3-333111-31-311-13-1-1-1-1-111000000001-11-1-11
χ583333-3-3-1-1-13-13-1-11-3111-1-111000000001-11-1-11-3-3-3-333111-31-311-13-1-1-111-1-100000000-11-111-1
χ594-4-444-400000000000002-22-21-1-111-11-1000000-444-4-440000000000000-22-22-111-1-11-11000000
χ604-4-444-40000000000000-22-221-1-111-11-1000000-444-4-4400000000000002-22-2-111-1-11-11000000
χ614-4-44-4400000000000002-2-221-1-11-11-11000000-444-44-40000000000000-222-2-111-11-11-1000000
χ624-4-44-440000000000000-222-21-1-11-11-11000000-444-44-400000000000002-2-22-111-11-11-1000000
χ63666666-2-2-2-2-2-222-2-2-222000000000000000000-6-6-6-6-6-6222222-2-2222-2-2000000000000000000
χ646666-6-6-2-2-2-2-2-222222-2-2000000000000000000-6-6-6-666222222-2-2-2-2-222000000000000000000
χ6566-6-6002-222-2-22-20004i−4i000000000000000000-6-66600-22-2-222-22000−4i4i000000000000000000
χ6666-6-6002-222-2-22-2000−4i4i000000000000000000-6-66600-22-2-222-220004i−4i000000000000000000
χ6766-6-6002-22-6-26-2200000000000000000000000-6-66600-22-262-62-200000000000000000000000
χ6866-6-6002-2-626-2-2200000000000000000000000-6-66600-226-2-622-200000000000000000000000
χ6966-6-600-6622-2-2-2200000000000000000000000-6-666006-6-2-2222-200000000000000000000000
χ708-88-800000000000000000002-22-20000000000-88-880000000000000000000-22-220000000000
χ718-88-80000000000000000000-11-113−3−33000000-88-8800000000000000000001-11-1−333−3000000
χ728-88-80000000000000000000-11-11−333−3000000-88-8800000000000000000001-11-13−3−33000000
χ738-8-888-800000000000000000-111-1-11-11000000-888-8-88000000000000000001-1-111-11-1000000
χ748-8-88-8800000000000000000-111-11-11-1000000-888-88-8000000000000000001-1-11-11-11000000

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