Finite Group Databasebeta

← Group #72344064

Character table — Group #72344064

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size1111226666661212121212121224242424323232323232323248484848484811112266666612121212121212242424243232323232323232484848484848
order12222222444422222444444366666662488882222222244442222244444466666666248888
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
χ72-22-2002-222-2-22-200000000022-2-200000000002-22-2002-222-2-22-200000000022-2-20000000000
χ82-22-2002-222-2-22-2000000000-1-111i3i3−i3−i30000002-22-2002-222-2-22-2000000000-1-111i3i3−i3−i3000000
χ92-22-2002-222-2-22-2000000000-1-111−i3−i3i3i30000002-22-2002-222-2-22-2000000000-1-111−i3−i3i3i3000000
χ1033333333-1-1-1-1-1-13-1-1-1-111110000000011-1-1-1-133333333-1-1-1-1-1-13-1-1-1-111110000000011-1-1-1-1
χ1133333333-1-1-1-1-1-13-1-1-1-1-1-1-1-100000000-1-1111133333333-1-1-1-1-1-13-1-1-1-1-1-1-1-100000000-1-11111
χ12333333-1-13-13-1-1-1-1-1-13-1111100000000-1-11-11-1333333-1-13-13-1-1-1-1-1-13-1111100000000-1-11-11-1
χ13333333-1-13-13-1-1-1-1-1-13-1-1-1-1-10000000011-11-11333333-1-13-13-1-1-1-1-1-13-1-1-1-1-10000000011-11-11
χ14333333-1-1-13-13-1-1-1-1-1-13111100000000-1-1-11-11333333-1-1-13-13-1-1-1-1-1-13111100000000-1-1-11-11
χ15333333-1-1-13-13-1-1-1-1-1-13-1-1-1-100000000111-11-1333333-1-1-13-13-1-1-1-1-1-13-1-1-1-100000000111-11-1
χ163333-3-333-1-1-1-1-1-1-3111111-1-1000000001-1-1-1113333-3-333-1-1-1-1-1-1-3111111-1-1000000001-1-1-111
χ173333-3-333-1-1-1-1-1-1-31111-1-11100000000-1111-1-13333-3-333-1-1-1-1-1-1-31111-1-11100000000-1111-1-1
χ183333-3-3-1-13-13-1-1-1111-3111-1-100000000-111-1-113333-3-3-1-13-13-1-1-1111-3111-1-100000000-111-1-11
χ193333-3-3-1-13-13-1-1-1111-31-1-111000000001-1-111-13333-3-3-1-13-13-1-1-1111-31-1-111000000001-1-111-1
χ203333-3-3-1-1-13-13-1-11111-311-1-100000000-11-111-13333-3-3-1-1-13-13-1-11111-311-1-100000000-11-111-1
χ213333-3-3-1-1-13-13-1-11111-3-1-111000000001-11-1-113333-3-3-1-1-13-13-1-11111-3-1-111000000001-11-1-11
χ224-4-444-400000000000002-22-21-11-11-11-10000004-4-444-400000000000002-22-21-11-11-11-1000000
χ234-4-444-40000000000000-22-221-11-11-11-10000004-4-444-40000000000000-22-221-11-11-11-1000000
χ244-4-44-4400000000000002-2-221-11-1-11-110000004-4-44-4400000000000002-2-221-11-1-11-11000000
χ254-4-44-440000000000000-222-21-11-1-11-110000004-4-44-440000000000000-222-21-11-1-11-11000000
χ26666666-2-2-2-2-2-222-222-2-2000000000000000000666666-2-2-2-2-2-222-222-2-2000000000000000000
χ276666-6-6-2-2-2-2-2-2222-2-2220000000000000000006666-6-6-2-2-2-2-2-2222-2-222000000000000000000
χ286-66-6006-6-2-222-22000000000000000000000006-66-6006-6-2-222-2200000000000000000000000
χ296-66-600-226-2-62-22000000000000000000000006-66-600-226-2-62-2200000000000000000000000
χ306-66-600-22-262-6-22000000000000000000000006-66-600-22-262-6-2200000000000000000000000
χ316-66-600-22-2-2222-204-4000000000000000000006-66-600-22-2-2222-204-400000000000000000000
χ326-66-600-22-2-2222-20-44000000000000000000006-66-600-22-2-2222-20-4400000000000000000000
χ3388-8-800000000000000000002-2-22000000000088-8-800000000000000000002-2-220000000000
χ3488-8-80000000000000000000-111-1i3−i3−i3i300000088-8-80000000000000000000-111-1i3−i3−i3i3000000
χ3588-8-80000000000000000000-111-1−i3i3i3−i300000088-8-80000000000000000000-111-1−i3i3i3−i3000000
χ368-8-888-800000000000000000-11-11-11-110000008-8-888-800000000000000000-11-11-11-11000000
χ378-8-88-8800000000000000000-11-111-11-10000008-8-88-8800000000000000000-11-111-11-1000000
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
χ442-22-2002-222-2-22-200000000022-2-20000000000-22-2200-22-2-222-22000000000-2-2220000000000
χ452-22-2002-222-2-22-2000000000-1-111i3i3−i3−i3000000-22-2200-22-2-222-2200000000011-1-1−i3−i3i3i3000000
χ462-22-2002-222-2-22-2000000000-1-111−i3−i3i3i3000000-22-2200-22-2-222-2200000000011-1-1i3i3−i3−i3000000
χ4733333333-1-1-1-1-1-13-1-1-1-111110000000011-1-1-1-1-3-3-3-3-3-3-3-3111111-31111-1-1-1-100000000-1-11111
χ4833333333-1-1-1-1-1-13-1-1-1-1-1-1-1-100000000-1-11111-3-3-3-3-3-3-3-3111111-3111111110000000011-1-1-1-1
χ49333333-1-13-13-1-1-1-1-1-13-1111100000000-1-11-11-1-3-3-3-3-3-311-31-3111111-31-1-1-1-10000000011-11-11
χ50333333-1-13-13-1-1-1-1-1-13-1-1-1-1-10000000011-11-11-3-3-3-3-3-311-31-3111111-31111100000000-1-11-11-1
χ51333333-1-1-13-13-1-1-1-1-1-13111100000000-1-1-11-11-3-3-3-3-3-3111-31-3111111-3-1-1-1-100000000111-11-1
χ52333333-1-1-13-13-1-1-1-1-1-13-1-1-1-100000000111-11-1-3-3-3-3-3-3111-31-3111111-3111100000000-1-1-11-11
χ533333-3-333-1-1-1-1-1-1-3111111-1-1000000001-1-1-111-3-3-3-333-3-31111113-1-1-1-1-1-11100000000-1111-1-1
χ543333-3-333-1-1-1-1-1-1-31111-1-11100000000-1111-1-1-3-3-3-333-3-31111113-1-1-1-111-1-1000000001-1-1-111
χ553333-3-3-1-13-13-1-1-1111-3111-1-100000000-111-1-11-3-3-3-33311-31-3111-1-1-13-1-1-111000000001-1-111-1
χ563333-3-3-1-13-13-1-1-1111-31-1-111000000001-1-111-1-3-3-3-33311-31-3111-1-1-13-111-1-100000000-111-1-11
χ573333-3-3-1-1-13-13-1-11111-311-1-100000000-11-111-1-3-3-3-333111-31-311-1-1-1-13-1-111000000001-11-1-11
χ583333-3-3-1-1-13-13-1-11111-3-1-111000000001-11-1-11-3-3-3-333111-31-311-1-1-1-1311-1-100000000-11-111-1
χ594-4-444-400000000000002-22-21-11-11-11-1000000-444-4-440000000000000-22-22-11-11-11-11000000
χ604-4-444-40000000000000-22-221-11-11-11-1000000-444-4-4400000000000002-22-2-11-11-11-11000000
χ614-4-44-4400000000000002-2-221-11-1-11-11000000-444-44-40000000000000-222-2-11-111-11-1000000
χ624-4-44-440000000000000-222-21-11-1-11-11000000-444-44-400000000000002-2-22-11-111-11-1000000
χ63666666-2-2-2-2-2-222-222-2-2000000000000000000-6-6-6-6-6-6222222-2-22-2-222000000000000000000
χ646666-6-6-2-2-2-2-2-2222-2-222000000000000000000-6-6-6-666222222-2-2-222-2-2000000000000000000
χ656-66-6006-6-2-222-2200000000000000000000000-66-6600-6622-2-22-200000000000000000000000
χ666-66-600-226-2-62-2200000000000000000000000-66-66002-2-626-22-200000000000000000000000
χ676-66-600-22-262-6-2200000000000000000000000-66-66002-22-6-262-200000000000000000000000
χ686-66-600-22-2-2222-204-400000000000000000000-66-66002-222-2-2-220-4400000000000000000000
χ696-66-600-22-2-2222-20-4400000000000000000000-66-66002-222-2-2-2204-400000000000000000000
χ7088-8-800000000000000000002-2-220000000000-8-8880000000000000000000-222-20000000000
χ7188-8-80000000000000000000-111-1i3−i3−i3i3000000-8-88800000000000000000001-1-11−i3i3i3−i3000000
χ7288-8-80000000000000000000-111-1−i3i3i3−i3000000-8-88800000000000000000001-1-11i3−i3−i3i3000000
χ738-8-888-800000000000000000-11-11-11-11000000-888-8-88000000000000000001-11-11-11-1000000
χ748-8-88-8800000000000000000-11-111-11-1000000-888-88-8000000000000000001-11-1-11-11000000

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