Finite Group Databasebeta

← Group #10590363

Character table — Group #10590363

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1111222222222222222244444444444444444444444444412121212121212121212121224242424242436363636
order1222334444666666121212123466612121212121212121212121212121212121212121212224466661212121244121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-111111111-1-1-1-11-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1
χ6111111-1-111111111-1-1-1-11-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111
χ7111111-1-111111111-1-1-1-11-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111
χ8111111-1-111111111-1-1-1-11-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1
χ922222222-2-222222222222-2222-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000
χ10222222-2-2-2-2222222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222220000000000000000000000
χ1122222-1222222-1-1-12-1-1-1-1-12-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ1222222-1222222-1-1-12-1-1-1-1-12-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000
χ1322222-122-2-222-1-1-12-1-1-1-1-1-2-1-1-11122-2-211-2-21111-1-1-1-111110000−i3−i3i3i3−i3−i3i3i30000000000
χ1422222-122-2-222-1-1-12-1-1-1-1-1-2-1-1-11122-2-211-2-21111-1-1-1-111110000i3i3−i3−i3i3i3−i3−i30000000000
χ1522222-1-2-22222-1-1-121111-1-2-1-1-1-1-1-2-2-2-21122-1-1-1-11111111122-2-2-1-1-1-111110000000000
χ1622222-1-2-22222-1-1-121111-1-2-1-1-1-1-1-2-2-2-21122-1-1-1-111111111-2-2221111-1-1-1-10000000000
χ1722222-1-2-2-2-222-1-1-121111-12-1-1-111-2-222-1-1-2-211111111-1-1-1-10000−i3−i3i3i3i3i3−i3−i30000000000
χ1822222-1-2-2-2-222-1-1-121111-12-1-1-111-2-222-1-1-2-211111111-1-1-1-10000i3i3−i3−i3−i3−i3i3i30000000000
χ192222-122222-1-1222-12222-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ202222-122222-1-1222-12222-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
χ212222-1222-2-2-1-1222-12222-1-2-1-1-1-2-2-1-111-2-2111111-1-1-1-1111100000000000000−i3i3−i3i30000
χ222222-1222-2-2-1-1222-12222-1-2-1-1-1-2-2-1-111-2-2111111-1-1-1-1111100000000000000i3−i3i3−i30000
χ232222-12-2-222-1-1222-1-2-2-2-2-1-2-1-1-1221111-2-2-1-1-1-1-1-1111111110000000000002-2-1-1110000
χ242222-12-2-222-1-1222-1-2-2-2-2-1-2-1-1-1221111-2-2-1-1-1-1-1-111111111000000000000-2211-1-10000
χ252222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1-2-211-1-1221111111111-1-1-1-100000000000000−i3i3i3−i30000
χ262222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1-2-211-1-1221111111111-1-1-1-100000000000000i3−i3−i3i30000
χ272-22-2222-2002-2-2-22-222-2-2202-2-2002-2000000000022-2-20000000000000000000000−i2i2−i2i2
χ282-22-2222-2002-2-2-22-222-2-2202-2-2002-2000000000022-2-20000000000000000000000i2−i2i2−i2
χ292-22-222-22002-2-2-22-2-2-222202-2-200-220000000000-2-2220000000000000000000000−i2i2i2−i2
χ302-22-222-22002-2-2-22-2-2-222202-2-200-220000000000-2-2220000000000000000000000i2−i2−i2i2
χ312-2-2222002-2-2-22-2-22000020-22-22-20000002-222-2-200000000002i−2i00002i−2i2i−2i0000000000
χ322-2-2222002-2-2-22-2-22000020-22-22-20000002-222-2-20000000000−2i2i0000−2i2i−2i2i0000000000
χ332-2-222200-22-2-22-2-22000020-22-2-22000000-22-2-222000000002-2002-22-200000000000000
χ342-2-222200-22-2-22-2-22000020-22-2-22000000-22-2-22200000000-2200-22-2200000000000000
χ352-2-222-1002-2-2-2-11123−33−3-101-11-1100003−32-2-1-1113−33−333−3−3002i−2i−i3i3i3−i3−ii−ii0000000000
χ362-2-222-1002-2-2-2-11123−33−3-101-11-1100003−32-2-1-1113−33−333−3−300−2i2ii3−i3−i3i3i−ii−i0000000000
χ372-2-222-1002-2-2-2-1112−33−33-101-11-110000−332-2-1-111−33−33−3−333002i−2ii3−i3−i3i3−ii−ii0000000000
χ382-2-222-1002-2-2-2-1112−33−33-101-11-110000−332-2-1-111−33−33−3−33300−2i2i−i3i3i3−i3i−ii−i0000000000
χ392-2-222-100-22-2-2-11123−33−3-101-111-10000−33-2211-1-13−33−3−3−3332-200-11-113−3−330000000000
χ402-2-222-100-22-2-2-11123−33−3-101-111-10000−33-2211-1-13−33−3−3−333-22001-11-1−333−30000000000
χ412-2-222-100-22-2-2-1112−33−33-101-111-100003−3-2211-1-1−33−3333−3−32-200-11-11−333−30000000000
χ422-2-222-100-22-2-2-1112−33−33-101-111-100003−3-2211-1-1−33−3333−3−3-22001-11-13−3−330000000000
χ434444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000
χ444444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-411122-2-2222222-1-1-1-11111-1-1-1-10000000000000000000000
χ454444-2-2-4-444-2-2-2-2-2-222221-4111-2-2222222-2-21111-1-1-1-1-1-1-1-10000000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-2-2-2-222-1-1-1-1-1-1-1-111110000000000000000000000
χ4744-4-4440000-44-44-4-4000040-4-4400000000000000000000000000000000000000000000
χ4844-4-44-20000-442-22-423−23−2323-2022-20000000000000023−23−232300000000000000000000000000
χ4944-4-44-20000-442-22-4−232323−23-2022-200000000000000−232323−2300000000000000000000000000
χ5044-4-4-2400002-2-44-420000-2022-20000−2i32i3000000000000−2i32i3−2i32i30000000000000000000000
χ5144-4-4-2400002-2-44-420000-2022-200002i3−2i30000000000002i3−2i32i3−2i30000000000000000000000
χ5244-4-4-2-200002-22-22223−23−232310-1-110000−2i32i300003i−3i3i−3i−333−3i3−i3i3−i30000000000000000000000
χ5344-4-4-2-200002-22-22223−23−232310-1-1100002i3−2i30000−3i3i−3i3i−333−3−i3i3−i3i30000000000000000000000
χ5444-4-4-2-200002-22-222−232323−2310-1-110000−2i32i30000−3i3i−3i3i3−3−33i3−i3i3−i30000000000000000000000
χ5544-4-4-2-200002-22-222−232323−2310-1-1100002i3−2i300003i−3i3i−3i3−3−33−i3i3−i3i30000000000000000000000
χ564-44-44-24-4004-422-2-4-2-222-20-222004-40000000000-2-22200000000000000000000000000
χ574-44-44-2-44004-422-2-422-2-2-20-22200-44000000000022-2-200000000000000000000000000
χ584-44-4-244-400-22-4-44244-4-4-20-22200-220000000000-2-22200000000000000000000000000
χ594-44-4-24-4400-22-4-442-4-444-20-222002-2000000000022-2-200000000000000000000000000
χ604-44-4-2-24-400-2222-22-2-222101-1-100-220000003i−3i−3i3i11-1-13i−3i−3i3i0000000000000000000000
χ614-44-4-2-24-400-2222-22-2-222101-1-100-22000000−3i3i3i−3i11-1-1−3i3i3i−3i0000000000000000000000
χ624-44-4-2-2-4400-2222-2222-2-2101-1-1002-20000003i−3i−3i3i-1-111−3i3i3i−3i0000000000000000000000
χ634-44-4-2-2-4400-2222-2222-2-2101-1-1002-2000000−3i3i3i−3i-1-1113i−3i−3i3i0000000000000000000000
χ644-4-44-24004-4224-4-4-20000-202-224-4000000-22-2-222000000000000000000000000000000
χ654-4-44-2400-44224-4-4-20000-202-22-440000002-222-2-2000000000000000000000000000000
χ664-4-44-2-2004-422-222-223−2323−2310-11-1-22000023−23-2211-1-1−33−33−3−3330000000000000000000000
χ674-4-44-2-2004-422-222-2−2323−232310-11-1-220000−2323-2211-1-13−33−333−3−30000000000000000000000
χ684-4-44-2-200-4422-222-223−2323−2310-11-12-20000−23232-2-1-111−33−3333−3−30000000000000000000000
χ694-4-44-2-200-4422-222-2−2323−232310-11-12-2000023−232-2-1-1113−33−3−3−3330000000000000000000000

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