Finite Group Databasebeta

← Group #13150615

Character table — Group #13150615

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222444666666661212121212121212121212121818181818183636363636363636363636363636361111222244466666666121212121212121212121212181818181818363636363636363636363636363636
order1222366641212336666663666121212121212121244444444412121212121212121212121222226666412126666666666661212121212121212444444444121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111-1-111-1-1-11-11111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-111-1-1-11-11111-1-1-1-1-1-1-1-1
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
χ511111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-1
χ611111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-111
χ711111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1-111-1-111-1-11111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1-111-1-111-1-111
χ811111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-11111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-11111-1-1
χ9222222222222-12-12-1-12-1-1-1-122-1-1-1-1-1-12200002000000-1-1-1-10000222222222222-12-12-1-12-1-1-1-122-1-1-1-1-1-12200002000000-1-1-1-10000
χ10222222222222-12-12-1-12-1-1-1-122-1-1-1-1-1-1-2-20000-200000011110000222222222222-12-12-1-12-1-1-1-122-1-1-1-1-1-1-2-20000-200000011110000
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
χ1322222222-2-2-22-12-12-1-12-1-1-1-1-2-2111111220000-2000000-1-111000022222222-2-2-22-12-12-1-12-1-1-1-1-2-2111111220000-2000000-1-1110000
χ1422222222-2-2-22-12-12-1-12-1-1-1-1-2-2111111-2-20000200000011-1-1000022222222-2-2-22-12-12-1-12-1-1-1-1-2-2111111-2-20000200000011-1-10000
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
χ1722-2-222-2-2000222-2-22-2-222-2-2000000002-2000000000002-200000022-2-222-2-2000222-2-22-2-222-2-2000000002-2000000000002-2000000
χ1822-2-222-2-2000222-2-22-2-222-2-200000000-2200000000000-2200000022-2-222-2-2000222-2-22-2-222-2-200000000-2200000000000-22000000
χ1922-2-222-2-20002-121-2-11-2-1-111003−333−3−32-200000000000-113−3000022-2-222-2-20002-121-2-11-2-1-111003−333−3−32-200000000000-113−30000
χ2022-2-222-2-20002-121-2-11-2-1-111003−333−3−3-22000000000001-1−33000022-2-222-2-20002-121-2-11-2-1-111003−333−3−3-22000000000001-1−330000
χ2122-2-222-2-20002-121-2-11-2-1-11100−33−3−3332-200000000000-11−33000022-2-222-2-20002-121-2-11-2-1-11100−33−3−3332-200000000000-11−330000
χ2222-2-222-2-20002-121-2-11-2-1-11100−33−3−333-22000000000001-13−3000022-2-222-2-20002-121-2-11-2-1-11100−33−3−333-22000000000001-13−30000
χ232-22-22-2-2200022-2-22-22-22-2-220000000000002i−2i000000000002i−2i002-22-22-2-2200022-2-22-22-22-2-220000000000002i−2i000000000002i−2i00
χ242-22-22-2-2200022-2-22-22-22-2-22000000000000−2i2i00000000000−2i2i002-22-22-2-2200022-2-22-22-22-2-22000000000000−2i2i00000000000−2i2i00
χ252-22-22-2-22000-121-2-1-221-111-1−i3i300−i3i3−i3i300002i−2i00000000000−ii3−32-22-22-2-22000-121-2-1-221-111-1−i3i300−i3i3−i3i300002i−2i00000000000−ii3−3
χ262-22-22-2-22000-121-2-1-221-111-1−i3i300−i3i3−i3i30000−2i2i00000000000i−i−332-22-22-2-22000-121-2-1-221-111-1−i3i300−i3i3−i3i30000−2i2i00000000000i−i−33
χ272-22-22-2-22000-121-2-1-221-111-1i3−i300i3−i3i3−i300002i−2i00000000000−ii−332-22-22-2-22000-121-2-1-221-111-1i3−i300i3−i3i3−i300002i−2i00000000000−ii−33
χ282-22-22-2-22000-121-2-1-221-111-1i3−i300i3−i3i3−i30000−2i2i00000000000i−i3−32-22-22-2-22000-121-2-1-221-111-1i3−i300i3−i3i3−i30000−2i2i00000000000i−i3−3
χ292-2-222-22-200022-22-2-2-222-22-200000000002i−2i00000002i−2i000000002-2-222-22-200022-22-2-2-222-22-200000000002i−2i00000002i−2i00000000
χ302-2-222-22-200022-22-2-2-222-22-20000000000−2i2i0000000−2i2i000000002-2-222-22-200022-22-2-2-222-22-20000000000−2i2i0000000−2i2i00000000
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
χ3344-4-444-4-4000-24-2-424-42-2-2220000000000000000000000000000044-4-444-4-4000-24-2-424-42-2-22200000000000000000000000000000
χ3444-4-444-4-4000-2-2-222-22211-1-10023−23−3−33300000000000000000000044-4-444-4-4000-2-2-222-22211-1-10023−23−3−333000000000000000000000
χ3544-4-444-4-4000-2-2-222-22211-1-100−232333−3−300000000000000000000044-4-444-4-4000-2-2-222-22211-1-100−232333−3−3000000000000000000000
χ364-44-44-4-440004-2-4242-2-4-222-2000000000000000000000000000004-44-44-4-440004-2-4242-2-4-222-200000000000000000000000000000
χ374-44-44-4-44000-2-222-22-221-1-11−2i32i300i3−i3i3−i30000000000000000000004-44-44-4-44000-2-222-22-221-1-11−2i32i300i3−i3i3−i3000000000000000000000
χ384-44-44-4-44000-2-222-22-221-1-112i3−2i300−i3i3−i3i30000000000000000000004-44-44-4-44000-2-222-22-221-1-112i3−2i300−i3i3−i3i3000000000000000000000
χ394-4-444-44-40004-2-4-2-4224-22-22000000000000000000000000000004-4-444-44-40004-2-4-2-4224-22-2200000000000000000000000000000
χ404-4-444-44-4000-24242-4-4-2-22-22000000000000000000000000000004-4-444-44-4000-24242-4-4-2-22-2200000000000000000000000000000
χ414-4-444-44-4000-2-22-2222-21-11-100003i−3i−3i3i0000000000000000000004-4-444-44-4000-2-22-2222-21-11-100003i−3i−3i3i000000000000000000000
χ424-4-444-44-4000-2-22-2222-21-11-10000−3i3i3i−3i0000000000000000000004-4-444-44-4000-2-22-2222-21-11-10000−3i3i3i−3i000000000000000000000
χ436666-3-3-3-36-3-300000000000000000000002200020-1-1-1-1000000006666-3-3-3-36-3-300000000000000000000002200020-1-1-1-100000000
χ446666-3-3-3-36-3-30000000000000000000000-2-2000-201111000000006666-3-3-3-36-3-30000000000000000000000-2-2000-20111100000000
χ456666-3-3-3-3-633000000000000000000000022000-2011-1-1000000006666-3-3-3-3-633000000000000000000000022000-2011-1-100000000
χ466666-3-3-3-3-6330000000000000000000000-2-200020-1-111000000006666-3-3-3-3-6330000000000000000000000-2-200020-1-11100000000
χ476-6-66-33-33033−3300000000000000000000002i−2i00000−i3i3−ii000000006-6-66-33-33033−3300000000000000000000002i−2i00000−i3i3−ii00000000
χ486-6-66-33-33033−330000000000000000000000−2i2i00000i3−i3i−i000000006-6-66-33-33033−330000000000000000000000−2i2i00000i3−i3i−i00000000
χ496-6-66-33-330−333300000000000000000000002i−2i00000i3−i3−ii000000006-6-66-33-330−333300000000000000000000002i−2i00000i3−i3−ii00000000
χ506-6-66-33-330−33330000000000000000000000−2i2i00000−i3i3i−i000000006-6-66-33-330−33330000000000000000000000−2i2i00000−i3i3i−i00000000
χ511212-12-12-6-666000000000000000000000000000000000000000000001212-12-12-6-66600000000000000000000000000000000000000000000
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
χ54111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-11111
χ551111111111111111111111111111111-1-111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1-1-111111111
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
χ5711111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-111-1-111
χ5811111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-1-1-111-1-11111-1-1
χ5911111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1-111-1-111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-11-111-1-111-1-111-1-1
χ6011111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-11111-1-1-1-111
χ61222222222222-12-12-1-12-1-1-1-122-1-1-1-1-1-12200002000000-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-2-21-21-211-21111-2-2111111-2-20000-200000011110000
χ62222222222222-12-12-1-12-1-1-1-122-1-1-1-1-1-1-2-20000-200000011110000-2-2-2-2-2-2-2-2-2-2-2-21-21-211-21111-2-21111112200002000000-1-1-1-10000
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
χ6522222222-2-2-22-12-12-1-12-1-1-1-1-2-2111111220000-2000000-1-1110000-2-2-2-2-2-2-2-2222-21-21-211-2111122-1-1-1-1-1-1-2-20000200000011-1-10000
χ6622222222-2-2-22-12-12-1-12-1-1-1-1-2-2111111-2-20000200000011-1-10000-2-2-2-2-2-2-2-2222-21-21-211-2111122-1-1-1-1-1-1220000-2000000-1-1110000
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
χ6922-2-222-2-2000222-2-22-2-222-2-2000000002-2000000000002-2000000-2-222-2-222000-2-2-222-222-2-22200000000-2200000000000-22000000
χ7022-2-222-2-2000222-2-22-2-222-2-200000000-2200000000000-22000000-2-222-2-222000-2-2-222-222-2-222000000002-2000000000002-2000000
χ7122-2-222-2-20002-121-2-11-2-1-111003−333−3−32-200000000000-113−30000-2-222-2-222000-21-2-121-1211-1-100−33−3−333-22000000000001-1−330000
χ7222-2-222-2-20002-121-2-11-2-1-111003−333−3−3-22000000000001-1−330000-2-222-2-222000-21-2-121-1211-1-100−33−3−3332-200000000000-113−30000
χ7322-2-222-2-20002-121-2-11-2-1-11100−33−3−3332-200000000000-11−330000-2-222-2-222000-21-2-121-1211-1-1003−333−3−3-22000000000001-13−30000
χ7422-2-222-2-20002-121-2-11-2-1-11100−33−3−333-22000000000001-13−30000-2-222-2-222000-21-2-121-1211-1-1003−333−3−32-200000000000-11−330000
χ752-22-22-2-2200022-2-22-22-22-2-220000000000002i−2i000000000002i−2i00-22-22-222-2000-2-222-22-22-222-2000000000000−2i2i00000000000−2i2i00
χ762-22-22-2-2200022-2-22-22-22-2-22000000000000−2i2i00000000000−2i2i00-22-22-222-2000-2-222-22-22-222-20000000000002i−2i000000000002i−2i00
χ772-22-22-2-22000-121-2-1-221-111-1−i3i300−i3i3−i3i300002i−2i00000000000−ii3−3-22-22-222-20001-2-1212-2-11-1-11i3−i300i3−i3i3−i30000−2i2i00000000000i−i−33
χ782-22-22-2-22000-121-2-1-221-111-1−i3i300−i3i3−i3i30000−2i2i00000000000i−i−33-22-22-222-20001-2-1212-2-11-1-11i3−i300i3−i3i3−i300002i−2i00000000000−ii3−3
χ792-22-22-2-22000-121-2-1-221-111-1i3−i300i3−i3i3−i300002i−2i00000000000−ii−33-22-22-222-20001-2-1212-2-11-1-11−i3i300−i3i3−i3i30000−2i2i00000000000i−i3−3
χ802-22-22-2-22000-121-2-1-221-111-1i3−i300i3−i3i3−i30000−2i2i00000000000i−i3−3-22-22-222-20001-2-1212-2-11-1-11−i3i300−i3i3−i3i300002i−2i00000000000−ii−33
χ812-2-222-22-200022-22-2-2-222-22-200000000002i−2i00000002i−2i00000000-222-2-22-22000-2-22-2222-2-22-220000000000−2i2i0000000−2i2i00000000
χ822-2-222-22-200022-22-2-2-222-22-20000000000−2i2i0000000−2i2i00000000-222-2-22-22000-2-22-2222-2-22-2200000000002i−2i00000002i−2i00000000
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
χ8544-4-444-4-4000-24-2-424-42-2-22200000000000000000000000000000-4-444-4-4440002-424-2-44-222-2-200000000000000000000000000000
χ8644-4-444-4-4000-2-2-222-22211-1-10023−23−3−333000000000000000000000-4-444-4-444000222-2-22-2-2-1-11100−232333−3−3000000000000000000000
χ8744-4-444-4-4000-2-2-222-22211-1-100−232333−3−3000000000000000000000-4-444-4-444000222-2-22-2-2-1-1110023−23−3−333000000000000000000000
χ884-44-44-4-440004-2-4242-2-4-222-200000000000000000000000000000-44-44-444-4000-424-2-4-2242-2-2200000000000000000000000000000
χ894-44-44-4-44000-2-222-22-221-1-11−2i32i300i3−i3i3−i3000000000000000000000-44-44-444-400022-2-22-22-2-111-12i3−2i300−i3i3−i3i3000000000000000000000
χ904-44-44-4-44000-2-222-22-221-1-112i3−2i300−i3i3−i3i3000000000000000000000-44-44-444-400022-2-22-22-2-111-1−2i32i300i3−i3i3−i3000000000000000000000
χ914-4-444-44-40004-2-4-2-4224-22-2200000000000000000000000000000-444-4-44-44000-42424-2-2-42-22-200000000000000000000000000000
χ924-4-444-44-4000-24242-4-4-2-22-2200000000000000000000000000000-444-4-44-440002-4-2-4-24422-22-200000000000000000000000000000
χ934-4-444-44-4000-2-22-2222-21-11-100003i−3i−3i3i000000000000000000000-444-4-44-4400022-22-2-2-22-11-110000−3i3i3i−3i000000000000000000000
χ944-4-444-44-4000-2-22-2222-21-11-10000−3i3i3i−3i000000000000000000000-444-4-44-4400022-22-2-2-22-11-1100003i−3i−3i3i000000000000000000000
χ956666-3-3-3-36-3-300000000000000000000002200020-1-1-1-100000000-6-6-6-63333-6330000000000000000000000-2-2000-20111100000000
χ966666-3-3-3-36-3-30000000000000000000000-2-2000-20111100000000-6-6-6-63333-63300000000000000000000002200020-1-1-1-100000000
χ976666-3-3-3-3-633000000000000000000000022000-2011-1-100000000-6-6-6-633336-3-30000000000000000000000-2-200020-1-11100000000
χ986666-3-3-3-3-6330000000000000000000000-2-200020-1-11100000000-6-6-6-633336-3-3000000000000000000000022000-2011-1-100000000
χ996-6-66-33-33033−3300000000000000000000002i−2i00000−i3i3−ii00000000-666-63-33-30−33330000000000000000000000−2i2i00000i3−i3i−i00000000
χ1006-6-66-33-33033−330000000000000000000000−2i2i00000i3−i3i−i00000000-666-63-33-30−333300000000000000000000002i−2i00000−i3i3−ii00000000
χ1016-6-66-33-330−333300000000000000000000002i−2i00000i3−i3−ii00000000-666-63-33-3033−330000000000000000000000−2i2i00000−i3i3i−i00000000
χ1026-6-66-33-330−33330000000000000000000000−2i2i00000−i3i3i−i00000000-666-63-33-3033−3300000000000000000000002i−2i00000i3−i3−ii00000000
χ1031212-12-12-6-66600000000000000000000000000000000000000000000-12-12121266-6-600000000000000000000000000000000000000000000
χ10412-1212-12-666-600000000000000000000000000000000000000000000-1212-12126-6-6600000000000000000000000000000000000000000000

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