Finite Group Databasebeta

← Group #10593866

Character table — Group #10593866

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222222224444444444444444444444444444999912121212121212121818181818182424242424242424
order12223344444466666636661212121212121212121212121212121212121212121212124444444444442244441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-1
χ611111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111
χ711111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111
χ811111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ9111111-1-111-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-11-11-1-1-111-1-11-11-11-11-1
χ10111111-1-111-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-11-11-11-1-111-1-1-11-11-11-11
χ11111111-1-111-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-11-1111-1-1111-11-1-11-11
χ12111111-1-111-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-11-111-1-111-11-111-11-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-1-1-1111-1-111-1-11
χ14111111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-111-1-111-1-1-1-1-111-111-1-111-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-111-11111-1-11-1-11-111-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-11-1-111111-1-1-111-11-1-11
χ1722222-122222222-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000022220000000000-1-1-1-1
χ1822222-122222222-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200000000001111
χ1922222-122-2-2-2-222-1-12-1-1-1-1-122-1-1-2-21111-2-2-1-1-1-1111111110000000022-2-20000000000-1-111
χ2022222-122-2-2-2-222-1-12-1-1-1-1-122-1-1-2-21111-2-2-1-1-1-11111111100000000-2-222000000000011-1-1
χ2122222-1-2-222-2-222-1-12-1-1-1-1-1-2-2112211-1-1-2-21111-1-1-1-11111000000002-22-20000000000-11-11
χ2222222-1-2-222-2-222-1-12-1-1-1-1-1-2-2112211-1-1-2-21111-1-1-1-1111100000000-22-2200000000001-11-1
χ2322222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-2-1-1112211111111-1-1-1-1000000002-2-220000000000-111-1
χ2422222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-2-1-1112211111111-1-1-1-100000000-222-200000000001-1-11
χ252222-12222222-1-122-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000-1-1-1-10000
χ262222-12222222-1-122-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000011110000
χ272222-1222-2-2-2-2-1-122-12-1-1-1-1-1-12211-2-2-2-211-1-1-1-111111111000022-2-20000000000-1-1110000
χ282222-1222-2-2-2-2-1-122-12-1-1-1-1-1-12211-2-2-2-211-1-1-1-1111111110000-2-222000000000011-1-10000
χ292222-12-2-222-2-2-1-122-12-1-1-1-111-2-2-1-1-2-222111111-1-1-1-1111100002-22-20000000000-11-110000
χ302222-12-2-222-2-2-1-122-12-1-1-1-111-2-2-1-1-2-222111111-1-1-1-111110000-22-2200000000001-11-10000
χ312222-12-2-2-2-222-1-122-12-1-1-1-111-2-21122-2-2-1-111111111-1-1-1-100002-2-220000000000-111-10000
χ322222-12-2-2-2-222-1-122-12-1-1-1-111-2-21122-2-2-1-111111111-1-1-1-10000-222-200000000001-1-110000
χ3322-2-2222-200002-22-2-2-222-2-22-22-20000000022-2-20000000022-2-2000000002-2000000000000
χ3422-2-2222-200002-22-2-2-222-2-22-22-20000000022-2-200000000-2-22200000000-22000000000000
χ3522-2-222-2200002-22-2-2-222-2-2-22-2200000000-2-2220000000022-2-200000000-22000000000000
χ3622-2-222-2200002-22-2-2-222-2-2-22-2200000000-2-22200000000-2-222000000002-2000000000000
χ372-22-22200002-2-2-2-222-22-22-20000002-2002-20000000022-2-22i−2i2i−2i0000000000002i−2i00000000
χ382-22-22200002-2-2-2-222-22-22-20000002-2002-20000000022-2-2−2i2i−2i2i000000000000−2i2i00000000
χ392-22-2220000-22-2-2-222-22-22-2000000-2200-2200000000-2-2222i−2i2i−2i000000000000−2i2i00000000
χ402-22-2220000-22-2-2-222-22-22-2000000-2200-2200000000-2-222−2i2i−2i2i0000000000002i−2i00000000
χ412-2-2222002-200-22-2-2-222-2-2200002-2002-200000022-2-200002i−2i−2i2i00000000002i−2i0000000000
χ422-2-2222002-200-22-2-2-222-2-2200002-2002-200000022-2-20000−2i2i2i−2i0000000000−2i2i0000000000
χ432-2-222200-2200-22-2-2-222-2-220000-2200-22000000-2-22200002i−2i−2i2i0000000000−2i2i0000000000
χ442-2-222200-2200-22-2-2-222-2-220000-2200-22000000-2-2220000−2i2i2i−2i00000000002i−2i0000000000
χ454444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000
χ464444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2-2-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000
χ474444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-222-2-222-1-1-1-11111-1-1-1-100000000000000000000000000
χ484444-2-2-4-4-4-444-2-2-2-2-2-21111222222-2-222-2-2-1-1-1-1-1-1-1-1111100000000000000000000000000
χ4944-4-44-24-400004-4-22-42-2-2224-4-2200000000-2-2220000000000000000000000000000000000
χ5044-4-44-2-4400004-4-22-42-2-222-442-20000000022-2-20000000000000000000000000000000000
χ5144-4-4-244-40000-224-42-4-2-222-224-400000000-2-2220000000000000000000000000000000000
χ5244-4-4-24-440000-224-42-4-2-2222-2-440000000022-2-20000000000000000000000000000000000
χ5344-4-4-2-24-40000-22-222211-1-1-22-220000000011-1-13i−3i3i−3i3i−3i3i−3i00000000000000000000000000
χ5444-4-4-2-24-40000-22-222211-1-1-22-220000000011-1-1−3i3i−3i3i−3i3i−3i3i00000000000000000000000000
χ5544-4-4-2-2-440000-22-222211-1-12-22-200000000-1-1113i−3i3i−3i−3i3i−3i3i00000000000000000000000000
χ5644-4-4-2-2-440000-22-222211-1-12-22-200000000-1-111−3i3i−3i3i3i−3i3i−3i00000000000000000000000000
χ574-44-44-200004-4-4-42-242-22-22000000-22004-400000000-2-22200000000000000000000000000
χ584-44-44-20000-44-4-42-242-22-220000002-200-440000000022-2-200000000000000000000000000
χ594-44-4-2400004-422-44-2-4-22-220000004-400-2200000000-2-22200000000000000000000000000
χ604-44-4-240000-4422-44-2-4-22-22000000-44002-20000000022-2-200000000000000000000000000
χ614-44-4-2-200004-4222-2-221-11-1000000-2200-223i−3i3i−3i3i−3i−3i3i11-1-100000000000000000000000000
χ624-44-4-2-200004-4222-2-221-11-1000000-2200-22−3i3i−3i3i−3i3i3i−3i11-1-100000000000000000000000000
χ634-44-4-2-20000-44222-2-221-11-10000002-2002-23i−3i3i−3i−3i3i3i−3i-1-11100000000000000000000000000
χ644-44-4-2-20000-44222-2-221-11-10000002-2002-2−3i3i−3i3i3i−3i−3i3i-1-11100000000000000000000000000
χ654-4-444-2004-400-4422-4-2-222-200004-400-22000000-2-222000000000000000000000000000000
χ664-4-444-200-4400-4422-4-2-222-20000-44002-200000022-2-2000000000000000000000000000000
χ674-4-44-24004-4002-2-4-424-222-20000-22004-4000000-2-222000000000000000000000000000000
χ684-4-44-2400-44002-2-4-424-222-200002-200-4400000022-2-2000000000000000000000000000000
χ694-4-44-2-2004-4002-2222-21-1-110000-2200-22003i−3i−3i3i11-1-1−3i3i3i−3i00000000000000000000000000
χ704-4-44-2-2004-4002-2222-21-1-110000-2200-2200−3i3i3i−3i11-1-13i−3i−3i3i00000000000000000000000000
χ714-4-44-2-200-44002-2222-21-1-1100002-2002-2003i−3i−3i3i-1-1113i−3i−3i3i00000000000000000000000000
χ724-4-44-2-200-44002-2222-21-1-1100002-2002-200−3i3i3i−3i-1-111−3i3i3i−3i00000000000000000000000000

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