Finite Group Databasebeta

← Group #10595216

Character table — Group #10595216

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444444444666666668888888812121212121212121212121212121212242436363636
order12222233666666234666666666121244441212121266666121212244444121212121212121212126124444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-11-11-1-111-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111111-11-111-1-11111-1-1-1-111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-11-111-1-111111-1-111111111-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111-1-1111-1-11
χ611111111111111-11-111-1-111111-1-111111111-111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111-1
χ711111111111111-11-111-1-111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-11111-111-1
χ811111111111111-11-111-1-111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1111111111-1-111-1-11-1-11
χ91111-1-11111111111-1-1-111-1-1111-1-111-1-111111-1-111-1-1-11-1-111-1-1-111-1-1-1-1111-111-1-1
χ101111-1-11111111111-1-1-111-1-1111-1-111-1-111111-1-111-1-1-1-1-111-11-1-1-1-111-1-111-11-1-111
χ111111-1-11111111111-1-1-111-1-1111-1-1-1-111-1-1-1-11-1-111-1-1-111-1-11-11111-1-111-1-11-1-1-111
χ121111-1-11111111111-1-1-111-1-1111-1-1-1-111-1-1-1-11-1-111-1-1-1-111-1-1111-1-11111-1-1-1111-1-1
χ131111-1-111111111-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-111111-1-1-1111-1-111-1-1-1-11-11-11-1
χ141111-1-111111111-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1111-111-11-11111-1-1-1-1-1-1-11-11-11
χ151111-1-111111111-111-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-11111-1-11-11-1-1-1-11111111-1-11-11
χ161111-1-111111111-111-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1111-1-1111-1-1-111-1-11111-111-11-1
χ172222222-1-122-1-122-122222-1-1-1-1-12200000000-1-1-1-1-1-1-1-120202200-1-1-1-10000-1-10000
χ182222222-1-122-1-122-122222-1-1-1-1-12200000000-1-1-1-1-1-1-1-1-20-20-2-20011110000110000
χ192222222-1-122-1-12-2-1-222-2-2-1-1-1-1-1-2-2000000001-1-1111112020-2-20011110000-1-10000
χ202222222-1-122-1-12-2-1-222-2-2-1-1-1-1-1-2-2000000001-1-111111-20-202200-1-1-1-10000110000
χ21222222-122-1-122-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-1-12-1-1020200-1-10000-1-1-1-1000000
χ22222222-122-1-122-12-12-1-1-1-122-1-1-1-1-1-2-2-2-211112-1-1-1-12-1-10-20-2001100001111000000
χ23222222-122-1-122-1-2-1-2-1-11122-1-1-1112222-1-1-1-1-2-1-111-2110-20-200110000-1-111000000
χ24222222-122-1-122-1-2-1-2-1-11122-1-1-111-2-2-2-21111-2-1-111-211020200-1-1000011-1-1000000
χ252222-2-22-1-122-1-122-1-2-2-22211-1-1-1-2-200000000-111-1-111120-202-200-1-1110000-110000
χ262222-2-22-1-122-1-122-1-2-2-22211-1-1-1-2-200000000-111-1-1111-2020-220011-1-100001-10000
χ272222-2-22-1-122-1-12-2-12-2-2-2-211-1-1-1220000000011111-1-1-120-20-220011-1-10000-110000
χ282222-2-22-1-122-1-12-2-12-2-2-2-211-1-1-1220000000011111-1-1-1-20202-200-1-11100001-10000
χ292222-2-2-122-1-122-12-1-211-1-1-2-2-1-1-11122-2-2-1-1-1-1211-1-1-2110-2020011000011-1-1000000
χ302222-2-2-122-1-122-12-1-211-1-1-2-2-1-1-111-2-2221111211-1-1-211020-200-1-10000-1-111000000
χ312222-2-2-122-1-122-1-2-121111-2-2-1-1-1-1-122-2-2-1-1-1-1-211112-1-1020-200-1-100001111000000
χ322222-2-2-122-1-122-1-2-121111-2-2-1-1-1-1-1-2-2221111-211112-1-10-20200110000-1-1-1-1000000
χ332-22-22-222-22-22-2-20202-2002-2-2-22002i−2i2i−2i2i2i−2i−2i02-2000000000000000002i−2i00000000
χ342-22-22-222-22-22-2-20202-2002-2-2-2200−2i2i−2i2i−2i−2i2i2i02-200000000000000000−2i2i00000000
χ352-22-22-2-12-2-112-210-10-11−i3i32-211-1−i3i32i−2i2i−2i−i−iii0-11−i3i30−i3i30000003−30000−ii3−3000000
χ362-22-22-2-12-2-112-210-10-11−i3i32-211-1−i3i3−2i2i−2i2iii−i−i0-11−i3i30−i3i3000000−330000i−i−33000000
χ372-22-22-2-12-2-112-210-10-11i3−i32-211-1i3−i32i−2i2i−2i−i−iii0-11i3−i30i3−i3000000−330000−ii−33000000
χ382-22-22-2-12-2-112-210-10-11i3−i32-211-1i3−i3−2i2i−2i2iii−i−i0-11i3−i30i3−i30000003−30000i−i3−3000000
χ392-22-2-2222-22-22-2-2020-2200-22-2-22002i−2i−2i2i2i2i−2i−2i0-2200000000000000000−2i2i00000000
χ402-22-2-2222-22-22-2-2020-2200-22-2-2200−2i2i2i−2i−2i−2i2i2i0-22000000000000000002i−2i00000000
χ412-22-2-22-12-2-112-210-101-1−i3i3-2211-1i3−i32i−2i−2i2i−i−iii01-1−i3i30i3−i3000000−330000i−i3−3000000
χ422-22-2-22-12-2-112-210-101-1−i3i3-2211-1i3−i3−2i2i2i−2iii−i−i01-1−i3i30i3−i30000003−30000−ii−33000000
χ432-22-2-22-12-2-112-210-101-1i3−i3-2211-1−i3i32i−2i−2i2i−i−iii01-1i3−i30−i3i30000003−30000i−i−33000000
χ442-22-2-22-12-2-112-210-101-1i3−i3-2211-1−i3i3−2i2i2i−2iii−i−i01-1i3−i30−i3i3000000−330000−ii3−3000000
χ45444444-2-2-2-2-2-2-2-2414-2-2-2-2-2-2111-2-200000000-21111-2110000000000000000000000
χ46444444-2-2-2-2-2-2-2-2-41-4-2-222-2-21112200000000211-1-12-1-10000000000000000000000
χ474444-4-4-2-2-2-2-2-2-2-241-422-2-2221112200000000-2-1-1112-1-10000000000000000000000
χ484444-4-4-2-2-2-2-2-2-2-2-414222222111-2-2000000002-1-1-1-1-2110000000000000000000000
χ4944-4-400444-44-4-4-40400000004-4-40000000000000000000000000000000000000000
χ5044-4-4004-2-2-4422-40-20000000-222000000000000000000000000000023−230000000000
χ5144-4-4004-2-2-4422-40-20000000-2220000000000000000000000000000−23230000000000
χ5244-4-400-2442-2-4-420-20000000-22200000023−2323−23000000000000000000000000000000
χ5344-4-400-2442-2-4-420-20000000-222000000−2323−2323000000000000000000000000000000
χ544-44-44-44-224-4-22-40-204-400-2222-200000000000-22000000000000000000000000000
χ554-44-44-4-2-22-22-222010-22−2i32i3-22-1-11−2i32i30000000001-1i3−i30i3−i30000000000000000000000
χ564-44-44-4-2-22-22-222010-222i3−2i3-22-1-112i3−2i30000000001-1−i3i30−i3i30000000000000000000000
χ574-44-4-444-224-4-22-40-20-44002-222-2000000000002-2000000000000000000000000000
χ584-44-4-44-2-22-22-2220102-2−2i32i32-2-1-112i3−2i3000000000-11i3−i30−i3i30000000000000000000000
χ594-44-4-44-2-22-22-2220102-22i3−2i32-2-1-11−2i32i3000000000-11−i3i30i3−i30000000000000000000000
χ604-4-440044-4-4-4-444040000000-44-40000000000000000000000000000000000000000
χ614-4-44004-22-4-42-240-200000002-2200000000000000000000000000−2i32i3000000000000
χ624-4-44004-22-4-42-240-200000002-22000000000000000000000000002i3−2i3000000000000
χ634-4-4400-24-422-44-20-200000002-22000000−2i32i32i3−2i3000000000000000000000000000000
χ644-4-4400-24-422-44-20-200000002-220000002i3−2i3−2i32i3000000000000000000000000000000
χ6588-8-800-4-4-44-44440200000002-2-20000000000000000000000000000000000000000
χ668-8-8800-4-44444-4-4020000000-22-20000000000000000000000000000000000000000

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