Finite Group Databasebeta

← Group #10590374

Character table — Group #10590374

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222222244444444444444444444444444441212121212121212121212122424242424247272
order12223344666666121212123446661212121212121212121212121212121212121212121288882424242424242424441212121224
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-11-1
χ61111111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-11
χ71111111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-11
χ81111111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1
χ9222222-2-2222222-2-2-2-222-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000
χ10222222-2-2222222-2-2-2-22-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ1122222-122222-1-1-12222-122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100
χ1222222-122222-1-1-12222-122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100
χ1322222-122222-1-1-12222-1-2-2-1-1-1-2-211-2-211-1-1-1-1-1-1111111110000000000002-2-1-11100
χ1422222-122222-1-1-12222-1-2-2-1-1-1-2-211-2-211-1-1-1-1-1-111111111000000000000-2211-1-100
χ1522222-1-2-2222-1-1-1-2-2-2-2-12-2-1-1-122-1-1-2-211111111-1-1-1-1111100000000000000−i3i3−i3i300
χ1622222-1-2-2222-1-1-1-2-2-2-2-12-2-1-1-122-1-1-2-211111111-1-1-1-1111100000000000000i3−i3i3−i300
χ1722222-1-2-2222-1-1-1-2-2-2-2-1-22-1-1-1-2-21122-1-11111111111-1-1-1-100000000000000−i3i3i3−i300
χ1822222-1-2-2222-1-1-1-2-2-2-2-1-22-1-1-1-2-21122-1-11111111111-1-1-1-100000000000000i3−i3−i3i300
χ192222-1222-1-1-1222-1-1-1-1-122-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ202222-1222-1-1-1222-1-1-1-1-122-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000
χ212222-1222-1-1-1222-1-1-1-1-1-2-2-1-1-111-2-211-2-222-1-1-1-11111111122-2-2-1-1-1-1111100000000
χ222222-1222-1-1-1222-1-1-1-1-1-2-2-1-1-111-2-211-2-222-1-1-1-111111111-2-2221111-1-1-1-100000000
χ232222-12-2-2-1-1-12221111-12-2-1-1-1-1-12211-2-2-2-21111-1-1-1-11111000033−3−333−3−300000000
χ242222-12-2-2-1-1-12221111-12-2-1-1-1-1-12211-2-2-2-21111-1-1-1-111110000−3−333−3−33300000000
χ252222-12-2-2-1-1-12221111-1-22-1-1-111-2-2-1-122-2-211111111-1-1-1-1000033−3−3−3−33300000000
χ262222-12-2-2-1-1-12221111-1-22-1-1-111-2-2-1-122-2-211111111-1-1-1-10000−3−33333−3−300000000
χ272-2-22222-22-2-2-2-2222-2-22002-2-2000000002-222-2-200000000002-200002-22-200000000
χ282-2-22222-22-2-2-2-2222-2-22002-2-2000000002-222-2-20000000000-220000-22-2200000000
χ292-2-2222-222-2-2-2-22-2-2222002-2-200000000-22-2-222000000002-2002-22-2000000000000
χ302-2-2222-222-2-2-2-22-2-2222002-2-200000000-22-2-22200000000-2200-22-22000000000000
χ312-2-22-122-2-111-2-22-1-111-100-1113−3003−3002-2-1-11133−3−333−3−3002-23−3−33-11-1100000000
χ322-2-22-122-2-111-2-22-1-111-100-1113−3003−3002-2-1-11133−3−333−3−300-22−333−31-11-100000000
χ332-2-22-122-2-111-2-22-1-111-100-111−3300−33002-2-1-111−3−333−3−333002-2−333−3-11-1100000000
χ342-2-22-122-2-111-2-22-1-111-100-111−3300−33002-2-1-111−3−333−3−33300-223−3−331-11-100000000
χ352-2-22-12-22-111-2-2211-1-1-100-1113−300−3300-2211-1-133−3−3−3−3332-200-11-11−333−300000000
χ362-2-22-12-22-111-2-2211-1-1-100-1113−300−3300-2211-1-133−3−3−3−333-22001-11-13−3−3300000000
χ372-2-22-12-22-111-2-2211-1-1-100-111−33003−300-2211-1-1−3−33333−3−32-200-11-113−3−3300000000
χ382-2-22-12-22-111-2-2211-1-1-100-111−33003−300-2211-1-1−3−33333−3−3-22001-11-1−333−300000000
χ394444-2-244-2-2-2-2-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000
χ404444-2-244-2-2-2-2-2-2-2-2-2-21-4-411122222222-2-21111-1-1-1-1-1-1-1-100000000000000000000
χ414444-2-2-4-4-2-2-2-2-2-2222214-4111-2-2-2-2222222-1-1-1-11111-1-1-1-100000000000000000000
χ424444-2-2-4-4-2-2-2-2-2-222221-441112222-2-2-2-222-1-1-1-1-1-1-1-1111100000000000000000000
χ4344-4-44400-44-44-4-40000400-44-4000000000000000000000000000000000000000000
χ4444-4-44-200-44-4-2220000-2002-2200−2i32i30000000000−2i32i3−2i32i3000000000000000000000000
χ4544-4-44-200-44-4-2220000-2002-22002i3−2i300000000002i3−2i32i3−2i3000000000000000000000000
χ4644-4-4-24002-224-4-423−2323−23-2002-22000000000023−2323−230000000000000000000000000000
χ4744-4-4-24002-224-4-4−2323−2323-2002-220000000000−2323−23230000000000000000000000000000
χ4844-4-4-2-2002-22-22223−2323−23100-11-100−2i32i3000000−33−33i3−i3i3−i33i−3i3i−3i00000000000000000000
χ4944-4-4-2-2002-22-22223−2323−23100-11-1002i3−2i3000000−33−33−i3i3−i3i3−3i3i−3i3i00000000000000000000
χ5044-4-4-2-2002-22-222−2323−2323100-11-100−2i32i30000003−33−3i3−i3i3−i3−3i3i−3i3i00000000000000000000
χ5144-4-4-2-2002-22-222−2323−2323100-11-1002i3−2i30000003−33−3−i3i3−i3i33i−3i3i−3i00000000000000000000
χ524-44-44400-4-44-44-40000400-4-44000000000000000000000000000000000000000000
χ534-44-44-200-4-442-220000-20022-2000000−2i32i30000000000−2i32i32i3−2i300000000000000000000
χ544-44-44-200-4-442-220000-20022-20000002i3−2i300000000002i3−2i3−2i32i300000000000000000000
χ554-44-4-240022-2-44-423−23−2323-20022-2000000000023−23−23230000000000000000000000000000
χ564-44-4-240022-2-44-4−232323−23-20022-20000000000−232323−230000000000000000000000000000
χ574-44-4-2-20022-22-2223−23−2323100-1-11000000−2i32i300−333−3−3i3i3i−3ii3−i3−i3i300000000000000000000
χ584-44-4-2-20022-22-2223−23−2323100-1-110000002i3−2i300−333−33i−3i−3i3i−i3i3i3−i300000000000000000000
χ594-44-4-2-20022-22-22−232323−23100-1-11000000−2i32i3003−3−333i−3i−3i3ii3−i3−i3i300000000000000000000
χ604-44-4-2-20022-22-22−232323−23100-1-110000002i3−2i3003−3−33−3i3i3i−3i−i3i3i3−i300000000000000000000
χ614-4-444-24-44-4-422-244-4-4-200-22200000000-22-2-2220000000000000000000000000000
χ624-4-444-2-444-4-422-2-4-444-200-222000000002-222-2-20000000000000000000000000000
χ634-4-44-2-24-4-22222-2-2-2221001-1-123−230023−2300-2211-1-1−3−333−3−33300000000000000000000
χ644-4-44-2-24-4-22222-2-2-2221001-1-1−232300−232300-2211-1-133−3−333−3−300000000000000000000
χ654-4-44-2-2-44-22222-222-2-21001-1-123−2300−2323002-2-1-111−3−33333−3−300000000000000000000
χ664-4-44-2-2-44-22222-222-2-21001-1-1−23230023−23002-2-1-11133−3−3−3−33300000000000000000000

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