Finite Group Databasebeta

← Group #13150838

Character table — Group #13150838

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222444666666661212121212121212121212121818181818183636363636363636363636363636361111222244466666666121212121212121212121212181818181818363636363636363636363636363636
order12223666412123366666636661212121212121212224444244666612121212121212122222666641212666666666666121212121212121222444424466661212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-11-111-1-111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-11-111-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111-1-11-1-1-1-111-1-111-1-1-1-11111111111111111111111111111111-1-111-1-11-1-1-1-111-1-111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111
χ511111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-11111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-11111-1-1
χ611111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11-111111-1-1-1-1-1-11111111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11-111111-1-1-1-1-1-111
χ711111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-11111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-111
χ811111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111-1-1
χ9222222222222-12-12-1-12-1-1-1-122-1-1-1-1-1-100220020000-1-100-1-10000222222222222-12-12-1-12-1-1-1-122-1-1-1-1-1-100220020000-1-100-1-10000
χ10222222222222-12-12-1-12-1-1-1-122-1-1-1-1-1-100-2-200-200001100110000222222222222-12-12-1-12-1-1-1-122-1-1-1-1-1-100-2-200-200001100110000
χ1122222222222-12-12-122-1-1-1-1-1-1-122-1-1-1-100002200200000000-1-1-1-122222222222-12-12-122-1-1-1-1-1-1-122-1-1-1-100002200200000000-1-1-1-1
χ1222222222222-12-12-122-1-1-1-1-1-1-122-1-1-1-10000-2-200-200000000111122222222222-12-12-122-1-1-1-1-1-1-122-1-1-1-10000-2-200-2000000001111
χ1322222222-2-2-22-12-12-1-12-1-1-1-1-2-2111111002200-200001100-1-1000022222222-2-2-22-12-12-1-12-1-1-1-1-2-2111111002200-200001100-1-10000
χ1422222222-2-2-22-12-12-1-12-1-1-1-1-2-211111100-2-20020000-1-10011000022222222-2-2-22-12-12-1-12-1-1-1-1-2-211111100-2-20020000-1-100110000
χ1522222222-2-2-2-12-12-122-1-1-1-1-111-2-2111100002200-200000000-1-11122222222-2-2-2-12-12-122-1-1-1-1-111-2-2111100002200-200000000-1-111
χ1622222222-2-2-2-12-12-122-1-1-1-1-111-2-211110000-2-20020000000011-1-122222222-2-2-2-12-12-122-1-1-1-1-111-2-211110000-2-20020000000011-1-1
χ1722-2-22-22-200022-2-222-2-22-2-220000000000002i−2i000000000002i−2i0022-2-22-22-200022-2-222-2-22-2-220000000000002i−2i000000000002i−2i00
χ1822-2-22-22-200022-2-222-2-22-2-22000000000000−2i2i00000000000−2i2i0022-2-22-22-200022-2-222-2-22-2-22000000000000−2i2i00000000000−2i2i00
χ1922-2-22-22-2000-121-2-12-21-111-1−i3i300−i3−i3i3i300002i−2i00000000000−ii3−322-2-22-22-2000-121-2-12-21-111-1−i3i300−i3−i3i3i300002i−2i00000000000−ii3−3
χ2022-2-22-22-2000-121-2-12-21-111-1−i3i300−i3−i3i3i30000−2i2i00000000000i−i−3322-2-22-22-2000-121-2-12-21-111-1−i3i300−i3−i3i3i30000−2i2i00000000000i−i−33
χ2122-2-22-22-2000-121-2-12-21-111-1i3−i300i3i3−i3−i300002i−2i00000000000−ii−3322-2-22-22-2000-121-2-12-21-111-1i3−i300i3i3−i3−i300002i−2i00000000000−ii−33
χ2222-2-22-22-2000-121-2-12-21-111-1i3−i300i3i3−i3−i30000−2i2i00000000000i−i3−322-2-22-22-2000-121-2-12-21-111-1i3−i300i3i3−i3−i30000−2i2i00000000000i−i3−3
χ232-22-22-2-220002222-2-2-2-222-2-200000000002i−2i000000000002i−2i00002-22-22-2-220002222-2-2-2-222-2-200000000002i−2i000000000002i−2i0000
χ242-22-22-2-220002222-2-2-2-222-2-20000000000−2i2i00000000000−2i2i00002-22-22-2-220002222-2-2-2-222-2-20000000000−2i2i00000000000−2i2i0000
χ252-22-22-2-220002-12-1-211-2-1-111003−33−33−3002i−2i0000000−i3i300−ii00002-22-22-2-220002-12-1-211-2-1-111003−33−33−3002i−2i0000000−i3i300−ii0000
χ262-22-22-2-220002-12-1-211-2-1-111003−33−33−300−2i2i0000000i3−i300i−i00002-22-22-2-220002-12-1-211-2-1-111003−33−33−300−2i2i0000000i3−i300i−i0000
χ272-22-22-2-220002-12-1-211-2-1-11100−33−33−33002i−2i0000000i3−i300−ii00002-22-22-2-220002-12-1-211-2-1-11100−33−33−33002i−2i0000000i3−i300−ii0000
χ282-22-22-2-220002-12-1-211-2-1-11100−33−33−3300−2i2i0000000−i3i300i−i00002-22-22-2-220002-12-1-211-2-1-11100−33−33−3300−2i2i0000000−i3i300i−i0000
χ292-2-2222-2-200022-2-2-2-2222-22-2000000002-200000002-200000000002-2-2222-2-200022-2-2-2-2222-22-2000000002-200000002-20000000000
χ302-2-2222-2-200022-2-2-2-2222-22-200000000-220000000-2200000000002-2-2222-2-200022-2-2-2-2222-22-200000000-220000000-220000000000
χ3144444444444-2-2-2-2-2-2-2-21111-2-2-2-2111100000000000000000000044444444444-2-2-2-2-2-2-2-21111-2-2-2-21111000000000000000000000
χ3244444444-4-4-4-2-2-2-2-2-2-2-211112222-1-1-1-100000000000000000000044444444-4-4-4-2-2-2-2-2-2-2-211112222-1-1-1-1000000000000000000000
χ3344-4-44-44-40004-2-424-22-4-222-20000000000000000000000000000044-4-44-44-40004-2-424-22-4-222-200000000000000000000000000000
χ3444-4-44-44-4000-2-222-2-2221-1-11−2i32i300i3i3−i3−i300000000000000000000044-4-44-44-4000-2-222-2-2221-1-11−2i32i300i3i3−i3−i3000000000000000000000
χ3544-4-44-44-4000-2-222-2-2221-1-112i3−2i300−i3−i3i3i300000000000000000000044-4-44-44-4000-2-222-2-2221-1-112i3−2i300−i3−i3i3i3000000000000000000000
χ364-44-44-4-44000-24-242-4-42-2-222000000000000000000000000000004-44-44-4-44000-24-242-4-42-2-22200000000000000000000000000000
χ374-44-44-4-44000-2-2-2-2222211-1-10023−23−33−330000000000000000000004-44-44-4-44000-2-2-2-2222211-1-10023−23−33−33000000000000000000000
χ384-44-44-4-44000-2-2-2-2222211-1-100−23233−33−30000000000000000000004-44-44-4-44000-2-2-2-2222211-1-100−23233−33−3000000000000000000000
χ394-4-4444-4-40004-2-42-42-24-22-22000000000000000000000000000004-4-4444-4-40004-2-42-42-24-22-2200000000000000000000000000000
χ404-4-4444-4-4000-242-42-44-2-22-22000000000000000000000000000004-4-4444-4-4000-242-42-44-2-22-2200000000000000000000000000000
χ414-4-4444-4-4000-2-22222-2-21-11-100003i−3i−3i3i0000000000000000000004-4-4444-4-4000-2-22222-2-21-11-100003i−3i−3i3i000000000000000000000
χ424-4-4444-4-4000-2-22222-2-21-11-10000−3i3i3i−3i0000000000000000000004-4-4444-4-4000-2-22222-2-21-11-10000−3i3i3i−3i000000000000000000000
χ436666-3-3-3-36-3-300000000000000000000220000020-1-100-1-10000006666-3-3-3-36-3-300000000000000000000220000020-1-100-1-1000000
χ446666-3-3-3-36-3-300000000000000000000-2-200000-201100110000006666-3-3-3-36-3-300000000000000000000-2-200000-20110011000000
χ456666-3-3-3-3-633000000000000000000002200000-20-1-100110000006666-3-3-3-3-633000000000000000000002200000-20-1-10011000000
χ466666-3-3-3-3-63300000000000000000000-2-200000201100-1-10000006666-3-3-3-3-63300000000000000000000-2-200000201100-1-1000000
χ476-6-66-3-333033−33000000000000000000002-20000000-11003−30000006-6-66-3-333033−33000000000000000000002-20000000-11003−3000000
χ486-6-66-3-333033−3300000000000000000000-2200000001-100−330000006-6-66-3-333033−3300000000000000000000-2200000001-100−33000000
χ496-6-66-3-3330−3333000000000000000000002-20000000-1100−330000006-6-66-3-3330−3333000000000000000000002-20000000-1100−33000000
χ506-6-66-3-3330−333300000000000000000000-2200000001-1003−30000006-6-66-3-3330−333300000000000000000000-2200000001-1003−3000000
χ511212-12-12-66-66000000000000000000000000000000000000000000001212-12-12-66-6600000000000000000000000000000000000000000000
χ5212-1212-12-666-60000000000000000000000000000000000000000000012-1212-12-666-600000000000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ54111111111111111111111111111111111-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-111-1-1111111
χ551111111111111111111111111111111-1-111-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11111-1-111-1-11111
χ561111111111111111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111111111-1-1-1-1
χ5711111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-11111-1-1-1-111
χ5811111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-11-1-1-1-1-1111111-1-1
χ5911111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1-11111-1-1-1-111-1-1
χ6011111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-1-1-111-1-111
χ61222222222222-12-12-1-12-1-1-1-122-1-1-1-1-1-100220020000-1-100-1-10000-2-2-2-2-2-2-2-2-2-2-2-21-21-211-21111-2-211111100-2-200-200001100110000
χ62222222222222-12-12-1-12-1-1-1-122-1-1-1-1-1-100-2-200-200001100110000-2-2-2-2-2-2-2-2-2-2-2-21-21-211-21111-2-211111100220020000-1-100-1-10000
χ6322222222222-12-12-122-1-1-1-1-1-1-122-1-1-1-100002200200000000-1-1-1-1-2-2-2-2-2-2-2-2-2-2-21-21-21-2-21111111-2-211110000-2-200-2000000001111
χ6422222222222-12-12-122-1-1-1-1-1-1-122-1-1-1-10000-2-200-2000000001111-2-2-2-2-2-2-2-2-2-2-21-21-21-2-21111111-2-2111100002200200000000-1-1-1-1
χ6522222222-2-2-22-12-12-1-12-1-1-1-1-2-2111111002200-200001100-1-10000-2-2-2-2-2-2-2-2222-21-21-211-2111122-1-1-1-1-1-100-2-20020000-1-100110000
χ6622222222-2-2-22-12-12-1-12-1-1-1-1-2-211111100-2-20020000-1-100110000-2-2-2-2-2-2-2-2222-21-21-211-2111122-1-1-1-1-1-1002200-200001100-1-10000
χ6722222222-2-2-2-12-12-122-1-1-1-1-111-2-2111100002200-200000000-1-111-2-2-2-2-2-2-2-22221-21-21-2-211111-1-122-1-1-1-10000-2-20020000000011-1-1
χ6822222222-2-2-2-12-12-122-1-1-1-1-111-2-211110000-2-20020000000011-1-1-2-2-2-2-2-2-2-22221-21-21-2-211111-1-122-1-1-1-100002200-200000000-1-111
χ6922-2-22-22-200022-2-222-2-22-2-220000000000002i−2i000000000002i−2i00-2-222-22-22000-2-222-2-222-222-2000000000000−2i2i00000000000−2i2i00
χ7022-2-22-22-200022-2-222-2-22-2-22000000000000−2i2i00000000000−2i2i00-2-222-22-22000-2-222-2-222-222-20000000000002i−2i000000000002i−2i00
χ7122-2-22-22-2000-121-2-12-21-111-1−i3i300−i3−i3i3i300002i−2i00000000000−ii3−3-2-222-22-220001-2-121-22-11-1-11i3−i300i3i3−i3−i30000−2i2i00000000000i−i−33
χ7222-2-22-22-2000-121-2-12-21-111-1−i3i300−i3−i3i3i30000−2i2i00000000000i−i−33-2-222-22-220001-2-121-22-11-1-11i3−i300i3i3−i3−i300002i−2i00000000000−ii3−3
χ7322-2-22-22-2000-121-2-12-21-111-1i3−i300i3i3−i3−i300002i−2i00000000000−ii−33-2-222-22-220001-2-121-22-11-1-11−i3i300−i3−i3i3i30000−2i2i00000000000i−i3−3
χ7422-2-22-22-2000-121-2-12-21-111-1i3−i300i3i3−i3−i30000−2i2i00000000000i−i3−3-2-222-22-220001-2-121-22-11-1-11−i3i300−i3−i3i3i300002i−2i00000000000−ii−33
χ752-22-22-2-220002222-2-2-2-222-2-200000000002i−2i000000000002i−2i0000-22-22-222-2000-2-2-2-22222-2-2220000000000−2i2i00000000000−2i2i0000
χ762-22-22-2-220002222-2-2-2-222-2-20000000000−2i2i00000000000−2i2i0000-22-22-222-2000-2-2-2-22222-2-22200000000002i−2i000000000002i−2i0000
χ772-22-22-2-220002-12-1-211-2-1-111003−33−33−3002i−2i0000000−i3i300−ii0000-22-22-222-2000-21-212-1-1211-1-100−33−33−3300−2i2i0000000i3−i300i−i0000
χ782-22-22-2-220002-12-1-211-2-1-111003−33−33−300−2i2i0000000i3−i300i−i0000-22-22-222-2000-21-212-1-1211-1-100−33−33−33002i−2i0000000−i3i300−ii0000
χ792-22-22-2-220002-12-1-211-2-1-11100−33−33−33002i−2i0000000i3−i300−ii0000-22-22-222-2000-21-212-1-1211-1-1003−33−33−300−2i2i0000000−i3i300i−i0000
χ802-22-22-2-220002-12-1-211-2-1-11100−33−33−3300−2i2i0000000−i3i300i−i0000-22-22-222-2000-21-212-1-1211-1-1003−33−33−3002i−2i0000000i3−i300−ii0000
χ812-2-2222-2-200022-2-2-2-2222-22-2000000002-200000002-20000000000-222-2-2-222000-2-22222-2-2-22-2200000000-220000000-220000000000
χ822-2-2222-2-200022-2-2-2-2222-22-200000000-220000000-220000000000-222-2-2-222000-2-22222-2-2-22-22000000002-200000002-20000000000
χ8344444444444-2-2-2-2-2-2-2-21111-2-2-2-21111000000000000000000000-4-4-4-4-4-4-4-4-4-4-422222222-1-1-1-12222-1-1-1-1000000000000000000000
χ8444444444-4-4-4-2-2-2-2-2-2-2-211112222-1-1-1-1000000000000000000000-4-4-4-4-4-4-4-444422222222-1-1-1-1-2-2-2-21111000000000000000000000
χ8544-4-44-44-40004-2-424-22-4-222-200000000000000000000000000000-4-444-44-44000-424-2-42-242-2-2200000000000000000000000000000
χ8644-4-44-44-4000-2-222-2-2221-1-11−2i32i300i3i3−i3−i3000000000000000000000-4-444-44-4400022-2-222-2-2-111-12i3−2i300−i3−i3i3i3000000000000000000000
χ8744-4-44-44-4000-2-222-2-2221-1-112i3−2i300−i3−i3i3i3000000000000000000000-4-444-44-4400022-2-222-2-2-111-1−2i32i300i3i3−i3−i3000000000000000000000
χ884-44-44-4-44000-24-242-4-42-2-22200000000000000000000000000000-44-44-444-40002-42-4-244-222-2-200000000000000000000000000000
χ894-44-44-4-44000-2-2-2-2222211-1-10023−23−33−33000000000000000000000-44-44-444-40002222-2-2-2-2-1-11100−23233−33−3000000000000000000000
χ904-44-44-4-44000-2-2-2-2222211-1-100−23233−33−3000000000000000000000-44-44-444-40002222-2-2-2-2-1-1110023−23−33−33000000000000000000000
χ914-4-4444-4-40004-2-42-42-24-22-2200000000000000000000000000000-444-4-4-444000-424-24-22-42-22-200000000000000000000000000000
χ924-4-4444-4-4000-242-42-44-2-22-2200000000000000000000000000000-444-4-4-4440002-4-24-24-422-22-200000000000000000000000000000
χ934-4-4444-4-4000-2-22222-2-21-11-100003i−3i−3i3i000000000000000000000-444-4-4-44400022-2-2-2-222-11-110000−3i3i3i−3i000000000000000000000
χ944-4-4444-4-4000-2-22222-2-21-11-10000−3i3i3i−3i000000000000000000000-444-4-4-44400022-2-2-2-222-11-1100003i−3i−3i3i000000000000000000000
χ956666-3-3-3-36-3-300000000000000000000220000020-1-100-1-1000000-6-6-6-63333-63300000000000000000000-2-200000-20110011000000
χ966666-3-3-3-36-3-300000000000000000000-2-200000-20110011000000-6-6-6-63333-63300000000000000000000220000020-1-100-1-1000000
χ976666-3-3-3-3-633000000000000000000002200000-20-1-10011000000-6-6-6-633336-3-300000000000000000000-2-200000201100-1-1000000
χ986666-3-3-3-3-63300000000000000000000-2-200000201100-1-1000000-6-6-6-633336-3-3000000000000000000002200000-20-1-10011000000
χ996-6-66-3-333033−33000000000000000000002-20000000-11003−3000000-666-633-3-30−333300000000000000000000-2200000001-100−33000000
χ1006-6-66-3-333033−3300000000000000000000-2200000001-100−33000000-666-633-3-30−3333000000000000000000002-20000000-11003−3000000
χ1016-6-66-3-3330−3333000000000000000000002-20000000-1100−33000000-666-633-3-3033−3300000000000000000000-2200000001-1003−3000000
χ1026-6-66-3-3330−333300000000000000000000-2200000001-1003−3000000-666-633-3-3033−33000000000000000000002-20000000-1100−33000000
χ1031212-12-12-66-6600000000000000000000000000000000000000000000-12-1212126-66-600000000000000000000000000000000000000000000
χ10412-1212-12-666-600000000000000000000000000000000000000000000-1212-12126-6-6600000000000000000000000000000000000000000000

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