Finite Group Databasebeta

← Group #10594097

Character table — Group #10594097

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444444444444466666666666688888888121212121212121212121212121218182424363636
order1222334466666623466666121212121212224444441212121266612121212124444661212121212121212441212224
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111111111111-1-1-11111-1-1-1-111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1111-1-1-1-11111-1-1-1-111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111-11-1-1-11111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-11-1-111-1-1111111-1-1-1-11-11
χ611111111111111-11-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-11-1
χ711111111111111-11-1-1-11111111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-11-1
χ811111111111111-11-1-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11-111-1-111-1-1-1-1-1-1-1-1111-11
χ9111111-1-111111111-111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-1-1-1-11-11-1111111-1-1-1-1-1-1-11-111
χ10111111-1-111111111-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-111111-1-111-1-1111-11-1-1
χ11111111-1-111111111-111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-11-1-1-1-1-111-1-11111-111-1-1
χ12111111-1-111111111-111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-11-1-111
χ13111111-1-1111111-111-1-1111-1-1-1-11111-1-111111111-1-1-11-1-111-1-1-1111-1-111-1-1-1-1111-1-1-11
χ14111111-1-1111111-111-1-1111-1-1-1-11111-1-111-1-11111-1-1-11-1-111-111-111-1-1-1-111-1-1-1-1-1111-1
χ15111111-1-1111111-111-1-1111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-11-1-1111-1-11-1-11111-1-111-1-11-111-1
χ16111111-1-1111111-111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-111-1-1111111-11-1-11
χ1722222-122-1-1222-12-12-1-1-1-1-1-1-122-1-122222200-1-1-1-12-1-12-1-1-1-12000-1-1-1-10000-1-10000000
χ1822222-122-1-1222-12-12-1-1-1-1-1-1-122-1-1-2-2-2-2-2-20011112-1-12-1-1-1-1-200011110000110000000
χ1922222-122-1-1222-1-2-1-211-1-1-1-1-122112222-2-2001111-211-2-1-111-2000-1-1110000-1-10000000
χ2022222-122-1-1222-1-2-1-211-1-1-1-1-12211-2-2-2-22200-1-1-1-1-211-2-1-111200011-1-10000110000000
χ2122222-1-2-2-1-1222-12-1-2-1-1-1-1-111-2-21122-2-2-2-20011112-1-1-211112000-1-1-1-10000110000000
χ2222222-1-2-2-1-1222-12-1-2-1-1-1-1-111-2-211-2-2222200-1-1-1-12-1-1-21111-200011110000-1-10000000
χ2322222-1-2-2-1-1222-1-2-1211-1-1-111-2-2-1-122-2-22200-1-1-1-1-211211-1-1-2000-1-1110000110000000
χ2422222-1-2-2-1-1222-1-2-1211-1-1-111-2-2-1-1-2-222-2-2001111-211211-1-1200011-1-10000-1-10000000
χ252222-122222-1-1-122-1222-1-1-122-1-122000000220000-1-1-1-1-1-1-1-102220000-1-1-1-10000-1-1000
χ262222-122222-1-1-122-1222-1-1-122-1-122000000-2-20000-1-1-1-1-1-1-1-10-2-2-200001111000011000
χ272222-122222-1-1-12-2-1-2-2-2-1-1-122-1-1-2-20000002200001111-1-11102-2-20000-1-1-1-1000011000
χ282222-122222-1-1-12-2-1-2-2-2-1-1-122-1-1-2-2000000-2-200001111-1-1110-222000011110000-1-1000
χ292222-12-2-222-1-1-122-1-222-1-1-1-2-211-2-2000000220000-1-1-1111110-22-20000-1-11100001-1000
χ302222-12-2-222-1-1-122-1-222-1-1-1-2-211-2-2000000-2-20000-1-1-11111102-22000011-1-10000-11000
χ312222-12-2-222-1-1-12-2-12-2-2-1-1-1-2-21122000000220000111-111-1-10-2-220000-1-1110000-11000
χ322222-12-2-222-1-1-12-2-12-2-2-1-1-1-2-21122000000-2-20000111-111-1-1022-2000011-1-100001-1000
χ3322-2-2222i−2i-22-2-22-2020002-2-22i−2i2i−2i002-22i−2i0000000000002i−2i0000002-20000002i−2i0000000
χ3422-2-2222i−2i-22-2-22-2020002-2-22i−2i2i−2i00-22−2i2i0000000000002i−2i000000-22000000−2i2i0000000
χ3522-2-222−2i2i-22-2-22-2020002-2-2−2i2i−2i2i002-2−2i2i000000000000−2i2i0000002-2000000−2i2i0000000
χ3622-2-222−2i2i-22-2-22-2020002-2-2−2i2i−2i2i00-222i−2i000000000000−2i2i000000-220000002i−2i0000000
χ3722-2-22-12i−2i1-1-2-2210-10−i3i3-111−ii2i−2i3−32-22i−2i000033−3−30−i3i30−ii3−30000-11−i3i30000−ii0000000
χ3822-2-22-12i−2i1-1-2-2210-10−i3i3-111−ii2i−2i3−3-22−2i2i0000−3−3330−i3i30−ii3−300001-1i3−i30000i−i0000000
χ3922-2-22-12i−2i1-1-2-2210-10i3−i3-111−ii2i−2i−332-22i−2i0000−3−3330i3−i30−ii−330000-11i3−i30000−ii0000000
χ4022-2-22-12i−2i1-1-2-2210-10i3−i3-111−ii2i−2i−33-22−2i2i000033−3−30i3−i30−ii−3300001-1−i3i30000i−i0000000
χ4122-2-22-1−2i2i1-1-2-2210-10−i3i3-111i−i−2i2i−332-2−2i2i0000−3−3330−i3i30i−i−330000-11−i3i30000i−i0000000
χ4222-2-22-1−2i2i1-1-2-2210-10−i3i3-111i−i−2i2i−33-222i−2i000033−3−30−i3i30i−i−3300001-1i3−i30000−ii0000000
χ4322-2-22-1−2i2i1-1-2-2210-10i3−i3-111i−i−2i2i3−32-2−2i2i000033−3−30i3−i30i−i3−30000-11i3−i30000i−i0000000
χ4422-2-22-1−2i2i1-1-2-2210-10i3−i3-111i−i−2i2i3−3-222i−2i0000−3−3330i3−i30i−i3−300001-1−i3i30000−ii0000000
χ452-22-222002-22-2-2-202000-22-200000000002i−2i2i−2i2i−2i2i−2i00000000000000002i−2i00002-200000
χ462-22-222002-22-2-2-202000-22-200000000002i−2i−2i2i2i−2i2i−2i0000000000000000−2i2i0000-2200000
χ472-22-222002-22-2-2-202000-22-20000000000−2i2i2i−2i−2i2i−2i2i00000000000000002i−2i0000-2200000
χ482-22-222002-22-2-2-202000-22-20000000000−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i00002-200000
χ494444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-2000000000000-211-21111000000000000000000000
χ504444-2-244-2-2-2-2-2-2-41-422111-2-2-2-2220000000000002-1-1211-1-1000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-241-4-2-2111222222000000000000-2112-1-1-1-1000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-2-414221112222-2-20000000000002-1-1-2-1-111000000000000000000000
χ5344-4-4-244i−4i-4422-2-40-2000-2224i−4i−2i2i000000000000000000−2i2i00000000000000000000000
χ5444-4-4-24−4i4i-4422-2-40-2000-222−4i4i2i−2i0000000000000000002i−2i00000000000000000000000
χ5544-4-4-2-24i−4i2-222-22010−2i32i31-1-1−2i2i−2i2i23−230000000000000i3−i30i−i−33000000000000000000000
χ5644-4-4-2-24i−4i2-222-220102i3−2i31-1-1−2i2i−2i2i−23230000000000000−i3i30i−i3−3000000000000000000000
χ5744-4-4-2-2−4i4i2-222-22010−2i32i31-1-12i−2i2i−2i−23230000000000000i3−i30−ii3−3000000000000000000000
χ5844-4-4-2-2−4i4i2-222-220102i3−2i31-1-12i−2i2i−2i23−230000000000000−i3i30−ii−33000000000000000000000
χ594-44-44-200-224-4-420-20002-2200000000004i−4i00−2i2i−2i2i00000000000000000000000000000
χ604-44-44-200-224-4-420-20002-220000000000−4i4i002i−2i2i−2i00000000000000000000000000000
χ614-44-4-24004-4-222-40-20002-220000000000004i−4i00000000000000000000−2i2i00000000000
χ624-44-4-24004-4-222-40-20002-22000000000000−4i4i000000000000000000002i−2i00000000000
χ634-4-444400-4-4-44-4404000-4-4400000000000000000000000000000000000000000000000
χ644-4-444-20022-44-4-20-200022-200000000000000−2i32i32i3−2i300000000000000000000000000000
χ654-4-444-20022-44-4-20-200022-2000000000000002i3−2i3−2i32i300000000000000000000000000000
χ664-4-44-2400-4-42-2240-200022-200000000000000000000000000000000000023−23000000000
χ674-4-44-2400-4-42-2240-200022-2000000000000000000000000000000000000−2323000000000
χ688-88-8-4-400-44-444402000-22-200000000000000000000000000000000000000000000000
χ698-8-88-4-400444-44-402000-2-2200000000000000000000000000000000000000000000000

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