Finite Group Databasebeta

← Group #10594426

Character table — Group #10594426

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222233334444444444444466666666668888888812121212121212121212121212121818181824243636
order1222334466666644443446661212121212121212224444121212121212121212121212224466121212121212121244446644
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ41111111111111111111-1-111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ611111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ811111111111111-1-1-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111111111-1-1
χ9111111-1-1111111111111-1111-1-111-1-1-1-111-1-1-1-111111-1-1-111-1-11-11-111-1-1-1-111-1-1-1-1111-11-1
χ10111111-1-1111111111111-1111-1-111-1-1-1-1-1-111-1-111111-1-1-111-1-1-111-1-1-111-1-111-1-111-1-1-11-11
χ11111111-1-111111111111-11111-1-1-1-111-1-111-1-1-1-11111-11-1-1-1-111-11-1111-1-1-1-1-1-111-1-111-11-11
χ12111111-1-111111111111-11111-1-1-1-111-1-1-1-111-1-11111-11-1-1-1-1111-1-11-1-111-1-1-1-11111-1-11-11-1
χ13111111-1-1111111-1-1-1-111-1111-1-111-1-1-1-111-1-111-1-1-1-11-1-1-111-1-11-1-1111-1-111-1-11111-1-11-1-11
χ14111111-1-1111111-1-1-1-111-1111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-1-11-11-1-11111-1-111-1-111-111-1
χ15111111-1-1111111-1-1-1-11-11111-1-1-1-111-1-111-1-111-1-1-1-1-11-1-1-1-111-111-111-1-11111-1-111-1-1-111-1
χ16111111-1-1111111-1-1-1-11-11111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-1111-11-1-1-1111111-1-1-1-1111-1-11
χ1722222-122-1-12-1220000-122-1-1-1-1-12222222222000000-1-1-1-1-1-1-1-12200-1-1-1-10000000000-1-100
χ1822222-122-1-12-1220000-122-1-1-1-1-1222222-2-2-2-2000000-1-1-1-1-1-1-1-1-2-200111100000000001100
χ1922222-122-1-12-1220000-1-2-2-1-1-1-1-1-2-2-2-222222200000011-1-11111-2-200-1-1-1-100000000001100
χ2022222-122-1-12-1220000-1-2-2-1-1-1-1-1-2-2-2-222-2-2-2-200000011-1-11111220011110000000000-1-100
χ2122222-1-2-2-1-12-1220000-12-2-1-1-11122-2-2-2-222-2-2000000-1111-1-1112-200-1-1110000000000-1100
χ2222222-1-2-2-1-12-1220000-12-2-1-1-11122-2-2-2-2-2-222000000-1111-1-111-220011-1-100000000001-100
χ2322222-1-2-2-1-12-1220000-1-22-1-1-111-2-222-2-222-2-20000001-11111-1-1-2200-1-11100000000001-100
χ2422222-1-2-2-1-12-1220000-1-22-1-1-111-2-222-2-2-2-2220000001-11111-1-12-20011-1-10000000000-1100
χ252222-122222-12-1-12222-122-1-1-122-1-1-1-1-1-1000022-1-1-1-122-1-1-1-1-1-100220000-1-1-1-1-1-100000000
χ262222-122222-12-1-12222-1-2-2-1-1-1221111-1-1000022-1-1-1-1-2-2-1-1111100-2-20000-1-1111100000000
χ272222-122222-12-1-1-2-2-2-2-122-1-1-122-1-1-1-1-1-10000-2-2111122-1-1-1-1-1-100-2-2000011111100000000
χ282222-122222-12-1-1-2-2-2-2-1-2-2-1-1-1221111-1-10000-2-21111-2-2-1-111110022000011-1-1-1-100000000
χ292222-12-2-222-12-1-12222-12-2-1-1-1-2-2-1-111110000-2-2-1-1-1-12-211-1-111002-2000011-1-11100000000
χ302222-12-2-222-12-1-12222-1-22-1-1-1-2-211-1-1110000-2-2-1-1-1-1-221111-1-100-2200001111-1-100000000
χ312222-12-2-222-12-1-1-2-2-2-2-12-2-1-1-1-2-2-1-1111100002211112-211-1-11100-220000-1-111-1-100000000
χ322222-12-2-222-12-1-1-2-2-2-2-1-22-1-1-1-2-211-1-1110000221111-221111-1-1002-20000-1-1-1-11100000000
χ3322-2-2222-2-2-2-22-222i2i−2i−2i200-22-22-200002-200002i−2i2i2i−2i−2i002-20000000000002i−2i000000000000
χ3422-2-2222-2-2-2-22-22−2i−2i2i2i200-22-22-200002-20000−2i2i−2i−2i2i2i002-2000000000000−2i2i000000000000
χ3522-2-222-22-2-2-22-222i2i−2i−2i200-22-2-220000-220000−2i2i2i2i−2i−2i00-22000000000000−2i2i000000000000
χ3622-2-222-22-2-2-22-22−2i−2i2i2i200-22-2-220000-2200002i−2i−2i−2i2i2i00-220000000000002i−2i000000000000
χ3722-2-2-122-2-2-2121-12i2i−2i−2i-1001-112-23−33−3-1100002i−2i−i−iii00-113−33−300000000−ii−i3i3−i3i300000000
χ3822-2-2-122-2-2-2121-12i2i−2i−2i-1001-112-2−33−33-1100002i−2i−i−iii00-11−33−3300000000−iii3−i3i3−i300000000
χ3922-2-2-122-2-2-2121-1−2i−2i2i2i-1001-112-23−33−3-110000−2i2iii−i−i00-113−33−300000000i−ii3−i3i3−i300000000
χ4022-2-2-122-2-2-2121-1−2i−2i2i2i-1001-112-2−33−33-110000−2i2iii−i−i00-11−33−3300000000i−i−i3i3−i3i300000000
χ4122-2-2-12-22-2-2121-12i2i−2i−2i-1001-11-223−3−331-10000−2i2i−i−iii001-13−3−3300000000i−i−i3i3i3−i300000000
χ4222-2-2-12-22-2-2121-12i2i−2i−2i-1001-11-22−333−31-10000−2i2i−i−iii001-1−333−300000000i−ii3−i3−i3i300000000
χ4322-2-2-12-22-2-2121-1−2i−2i2i2i-1001-11-223−3−331-100002i−2iii−i−i001-13−3−3300000000−iii3−i3−i3i300000000
χ4422-2-2-12-22-2-2121-1−2i−2i2i2i-1001-11-22−333−31-100002i−2iii−i−i001-1−333−300000000−ii−i3i3i3−i300000000
χ452-22-22200-22-2-22-22i−2i2i−2i200-2-22000000002-200002i−2i2i−2i0000000000002-200000000002i−2i0000
χ462-22-22200-22-2-22-22i−2i2i−2i200-2-2200000000-2200002i−2i2i−2i000000000000-220000000000−2i2i0000
χ472-22-22200-22-2-22-2−2i2i−2i2i200-2-22000000002-20000−2i2i−2i2i0000000000002-20000000000−2i2i0000
χ482-22-22200-22-2-22-2−2i2i−2i2i200-2-2200000000-220000−2i2i−2i2i000000000000-2200000000002i−2i0000
χ492-2-2222002-22-2-2-22-2-222002-2-200000000002i−2i002-2-22000000000000002i−2i0000002i−2i000000
χ502-2-2222002-22-2-2-22-2-222002-2-20000000000−2i2i002-2-2200000000000000−2i2i000000−2i2i000000
χ512-2-2222002-22-2-2-2-222-22002-2-200000000002i−2i00-222-2000000000000002i−2i000000−2i2i000000
χ522-2-2222002-22-2-2-2-222-22002-2-20000000000−2i2i00-222-200000000000000−2i2i0000002i−2i000000
χ534444-2-244-2-2-2-2-2-20000144111-2-2-2-2-2-2-2-20000000000-2-21111110000000000000000000000
χ544444-2-244-2-2-2-2-2-200001-4-4111-2-22222-2-200000000002211-1-1-1-10000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2000014-411122-2-222220000000000-22-1-111-1-10000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-200001-441112222-2-22200000000002-2-1-1-1-1110000000000000000000000
χ5744-4-44-24-422-4-2-440000-2002-22-2200004-4000000000000-2200000000000000000000000000
χ5844-4-44-2-4422-4-2-440000-2002-222-20000-440000000000002-200000000000000000000000000
χ5944-4-4-2-24-4222-22-20000100-11-1-2223−2323−23-220000000000001-1−33−330000000000000000000000
χ6044-4-4-2-24-4222-22-20000100-11-1-22−2323−2323-220000000000001-13−33−30000000000000000000000
χ6144-4-4-2-2-44222-22-20000100-11-12-223−23−23232-2000000000000-11−333−30000000000000000000000
χ6244-4-4-2-2-44222-22-20000100-11-12-2−232323−232-2000000000000-113−3−330000000000000000000000
χ634-44-44-2002-2-424-40000-20022-2000000004-400000000000000000000-220000000000000000
χ644-44-44-2002-2-424-40000-20022-200000000-44000000000000000000002-20000000000000000
χ654-44-4-2400-442-4-224i−4i4i−4i-20022-200000000000000−2i2i−2i2i000000000000000000000000000000
χ664-44-4-2400-442-4-22−4i4i−4i4i-20022-2000000000000002i−2i2i−2i000000000000000000000000000000
χ674-4-444-200-2242-4-40000-200-22200000000004i−4i00000000000000000000−2i2i00000000000000
χ684-4-444-200-2242-4-40000-200-2220000000000−4i4i000000000000000000002i−2i00000000000000
χ694-4-44-24004-4-2-4224-4-44-200-22200000000000000-222-2000000000000000000000000000000
χ704-4-44-24004-4-2-422-444-4-200-222000000000000002-2-22000000000000000000000000000000
χ718-88-8-4-4004-444-440000200-2-22000000000000000000000000000000000000000000000000
χ728-8-88-4-400-44-444400002002-2-2000000000000000000000000000000000000000000000000

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