Finite Group Databasebeta

← Group #13150693

Character table — Group #13150693

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222444666666661212121212121212121212121818181818183636363636363636363636363636361111222244466666666121212121212121212121212181818181818363636363636363636363636363636
order12223666412123366666636661212121212121212224444244666612121212121212122222666641212666666666666121212121212121222444424466661212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-11-111-1-1-1-1-1-111-1-1111111111111111111111111111111111-1-1-1-1-11-111-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111-1-111-1-11-1-1-1-111-1-1-1-1-1-1111111111111111111111111111111111-1-111-1-11-1-1-1-111-1-1-1-1-1-111
χ41111111111111111111111111111111-1-1-1-111-1-11-1-1-1-11111-1-1-1-11111111111111111111111111111111-1-1-1-111-1-11-1-1-1-11111-1-1-1-1
χ511111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1-1-1-11111111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1-1-1-111
χ611111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11-111111-1-111-1-1-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11-111111-1-111-1-1-1-1
χ711111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1111111
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
χ9222222222222-12-12-12-1-1-1-1-122-1-1-1-1-1-100220020000-1-1000000-1-1222222222222-12-12-12-1-1-1-1-122-1-1-1-1-1-100220020000-1-1000000-1-1
χ10222222222222-12-12-12-1-1-1-1-122-1-1-1-1-1-100-2-200-200001100000011222222222222-12-12-12-1-1-1-1-122-1-1-1-1-1-100-2-200-200001100000011
χ1122222222222-12-12-12-12-1-1-1-1-1-122-1-1-1-1220000020-1-1000000-1-10022222222222-12-12-12-12-1-1-1-1-1-122-1-1-1-1220000020-1-1000000-1-100
χ1222222222222-12-12-12-12-1-1-1-1-1-122-1-1-1-1-2-200000-2011000000110022222222222-12-12-12-12-1-1-1-1-1-122-1-1-1-1-2-200000-20110000001100
χ1322222222-2-2-22-12-12-12-1-1-1-1-1-2-2111111002200-2000011000000-1-122222222-2-2-22-12-12-12-1-1-1-1-1-2-2111111002200-2000011000000-1-1
χ1422222222-2-2-22-12-12-12-1-1-1-1-1-2-211111100-2-20020000-1-10000001122222222-2-2-22-12-12-12-1-1-1-1-1-2-211111100-2-20020000-1-100000011
χ1522222222-2-2-2-12-12-12-12-1-1-1-111-2-211112200000-20-1-1000000110022222222-2-2-2-12-12-12-12-1-1-1-111-2-211112200000-20-1-10000001100
χ1622222222-2-2-2-12-12-12-12-1-1-1-111-2-21111-2-2000002011000000-1-10022222222-2-2-2-12-12-12-12-1-1-1-111-2-21111-2-2000002011000000-1-100
χ1722-2-22-22-200022-2-222-2-22-2-220000000000002i−2i00000002i−2i00000022-2-22-22-200022-2-222-2-22-2-220000000000002i−2i00000002i−2i000000
χ1822-2-22-22-200022-2-222-2-22-2-22000000000000−2i2i0000000−2i2i00000022-2-22-22-200022-2-222-2-22-2-22000000000000−2i2i0000000−2i2i000000
χ192-22-222-2-200022-22-2-22-222-2-200000000002i−2i0000000000000002i−2i2-22-222-2-200022-22-2-22-222-2-200000000002i−2i0000000000000002i−2i
χ202-22-222-2-200022-22-2-22-222-2-20000000000−2i2i000000000000000−2i2i2-22-222-2-200022-22-2-22-222-2-20000000000−2i2i000000000000000−2i2i
χ212-22-222-2-20002-1-2-1-2121-1-111003−333−3−3002i−2i0000000−i3i3000000−ii2-22-222-2-20002-1-2-1-2121-1-111003−333−3−3002i−2i0000000−i3i3000000−ii
χ222-22-222-2-20002-1-2-1-2121-1-111003−333−3−300−2i2i0000000i3−i3000000i−i2-22-222-2-20002-1-2-1-2121-1-111003−333−3−300−2i2i0000000i3−i3000000i−i
χ232-22-222-2-20002-1-2-1-2121-1-11100−33−3−333002i−2i0000000i3−i3000000−ii2-22-222-2-20002-1-2-1-2121-1-11100−33−3−333002i−2i0000000i3−i3000000−ii
χ242-22-222-2-20002-1-2-1-2121-1-11100−33−3−33300−2i2i0000000−i3i3000000i−i2-22-222-2-20002-1-2-1-2121-1-11100−33−3−33300−2i2i0000000−i3i3000000i−i
χ252-2-222-2-22000222-2-2-2-222-22-2000000002-200000002-200000000002-2-222-2-22000222-2-2-2-222-22-2000000002-200000002-20000000000
χ262-2-222-2-22000222-2-2-2-222-22-200000000-220000000-2200000000002-2-222-2-22000222-2-2-2-222-22-200000000-220000000-220000000000
χ272-2-222-2-22000-12-1-21-212-11-113−3003−33−32-20000000-110000003−3002-2-222-2-22000-12-1-21-212-11-113−3003−33−32-20000000-110000003−300
χ282-2-222-2-22000-12-1-21-212-11-113−3003−33−3-2200000001-1000000−33002-2-222-2-22000-12-1-21-212-11-113−3003−33−3-2200000001-1000000−3300
χ292-2-222-2-22000-12-1-21-212-11-11−3300−33−332-20000000-11000000−33002-2-222-2-22000-12-1-21-212-11-11−3300−33−332-20000000-11000000−3300
χ302-2-222-2-22000-12-1-21-212-11-11−3300−33−33-2200000001-10000003−3002-2-222-2-22000-12-1-21-212-11-11−3300−33−33-2200000001-10000003−300
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
χ3344-4-44-44-40004-2-424-2-42-222-20000000000000000000000000000044-4-44-44-40004-2-424-2-42-222-200000000000000000000000000000
χ3444-4-44-44-4000-242-4-242-4-222-20000000000000000000000000000044-4-44-44-4000-242-4-242-4-222-200000000000000000000000000000
χ3544-4-44-44-4000-2-222-2-2221-1-1100003-3-3300000000000000000000044-4-44-44-4000-2-222-2-2221-1-1100003-3-33000000000000000000000
χ3644-4-44-44-4000-2-222-2-2221-1-110000-333-300000000000000000000044-4-44-44-4000-2-222-2-2221-1-110000-333-3000000000000000000000
χ374-44-444-4-4000-24242-4-2-4-2-222000000000000000000000000000004-44-444-4-4000-24242-4-2-4-2-22200000000000000000000000000000
χ384-44-444-4-4000-2-22-222-2211-1-10023−23−3−3330000000000000000000004-44-444-4-4000-2-22-222-2211-1-10023−23−3−333000000000000000000000
χ394-44-444-4-4000-2-22-222-2211-1-100−232333−3−30000000000000000000004-44-444-4-4000-2-22-222-2211-1-100−232333−3−3000000000000000000000
χ404-4-444-4-440004-242-42-4-2-22-22000000000000000000000000000004-4-444-4-440004-242-42-4-2-22-2200000000000000000000000000000
χ414-4-444-4-44000-2-2-22222-21-11-123−2300−33−330000000000000000000004-4-444-4-44000-2-2-22222-21-11-123−2300−33−33000000000000000000000
χ424-4-444-4-44000-2-2-22222-21-11-1−2323003−33−30000000000000000000004-4-444-4-44000-2-2-22222-21-11-1−2323003−33−3000000000000000000000
χ436666-3-3-3-36-3-3000000000000000000000000220020000-1-1-1-100006666-3-3-3-36-3-3000000000000000000000000220020000-1-1-1-10000
χ446666-3-3-3-36-3-3000000000000000000000000-2-200-20000111100006666-3-3-3-36-3-3000000000000000000000000-2-200-2000011110000
χ456666-3-3-3-3-6330000000000000000000000002200-20000-1-11100006666-3-3-3-3-6330000000000000000000000002200-20000-1-1110000
χ466666-3-3-3-3-633000000000000000000000000-2-2002000011-1-100006666-3-3-3-3-633000000000000000000000000-2-2002000011-1-10000
χ4766-6-6-33-330−3i33i30000000000000000000000002i−2i0000000−ii3−3000066-6-6-33-330−3i33i30000000000000000000000002i−2i0000000−ii3−30000
χ4866-6-6-33-330−3i33i3000000000000000000000000−2i2i0000000i−i−33000066-6-6-33-330−3i33i3000000000000000000000000−2i2i0000000i−i−330000
χ4966-6-6-33-3303i3−3i30000000000000000000000002i−2i0000000−ii−33000066-6-6-33-3303i3−3i30000000000000000000000002i−2i0000000−ii−330000
χ5066-6-6-33-3303i3−3i3000000000000000000000000−2i2i0000000i−i3−3000066-6-6-33-3303i3−3i3000000000000000000000000−2i2i0000000i−i3−30000
χ5112-1212-12-6-6660000000000000000000000000000000000000000000012-1212-12-6-66600000000000000000000000000000000000000000000
χ5212-12-1212-666-60000000000000000000000000000000000000000000012-12-1212-666-600000000000000000000000000000000000000000000
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
χ54111111111111111111111111111111111-1-1-1-1-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1111111-1-111
χ551111111111111111111111111111111-1-111-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11111-1-1111111-1-1
χ561111111111111111111111111111111-1-1-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11111-1-1-1-11111
χ5711111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-111-1-11111-1-1
χ5811111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-11-1-1-1-1-111-1-11111
χ5911111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1-1111111-1-1-1-1-1-1
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
χ61222222222222-12-12-12-1-1-1-1-122-1-1-1-1-1-100220020000-1-1000000-1-1-2-2-2-2-2-2-2-2-2-2-2-21-21-21-211111-2-211111100-2-200-200001100000011
χ62222222222222-12-12-12-1-1-1-1-122-1-1-1-1-1-100-2-200-200001100000011-2-2-2-2-2-2-2-2-2-2-2-21-21-21-211111-2-211111100220020000-1-1000000-1-1
χ6322222222222-12-12-12-12-1-1-1-1-1-122-1-1-1-1220000020-1-1000000-1-100-2-2-2-2-2-2-2-2-2-2-21-21-21-21-2111111-2-21111-2-200000-20110000001100
χ6422222222222-12-12-12-12-1-1-1-1-1-122-1-1-1-1-2-200000-20110000001100-2-2-2-2-2-2-2-2-2-2-21-21-21-21-2111111-2-21111220000020-1-1000000-1-100
χ6522222222-2-2-22-12-12-12-1-1-1-1-1-2-2111111002200-2000011000000-1-1-2-2-2-2-2-2-2-2222-21-21-21-21111122-1-1-1-1-1-100-2-20020000-1-100000011
χ6622222222-2-2-22-12-12-12-1-1-1-1-1-2-211111100-2-20020000-1-100000011-2-2-2-2-2-2-2-2222-21-21-21-21111122-1-1-1-1-1-1002200-2000011000000-1-1
χ6722222222-2-2-2-12-12-12-12-1-1-1-111-2-211112200000-20-1-10000001100-2-2-2-2-2-2-2-22221-21-21-21-21111-1-122-1-1-1-1-2-2000002011000000-1-100
χ6822222222-2-2-2-12-12-12-12-1-1-1-111-2-21111-2-2000002011000000-1-100-2-2-2-2-2-2-2-22221-21-21-21-21111-1-122-1-1-1-12200000-20-1-10000001100
χ6922-2-22-22-200022-2-222-2-22-2-220000000000002i−2i00000002i−2i000000-2-222-22-22000-2-222-2-222-222-2000000000000−2i2i0000000−2i2i000000
χ7022-2-22-22-200022-2-222-2-22-2-22000000000000−2i2i0000000−2i2i000000-2-222-22-22000-2-222-2-222-222-20000000000002i−2i00000002i−2i000000
χ712-22-222-2-200022-22-2-22-222-2-200000000002i−2i0000000000000002i−2i-22-22-2-222000-2-22-222-22-2-2220000000000−2i2i000000000000000−2i2i
χ722-22-222-2-200022-22-2-22-222-2-20000000000−2i2i000000000000000−2i2i-22-22-2-222000-2-22-222-22-2-22200000000002i−2i0000000000000002i−2i
χ732-22-222-2-20002-1-2-1-2121-1-111003−333−3−3002i−2i0000000−i3i3000000−ii-22-22-2-222000-21212-1-2-111-1-100−33−3−33300−2i2i0000000i3−i3000000i−i
χ742-22-222-2-20002-1-2-1-2121-1-111003−333−3−300−2i2i0000000i3−i3000000i−i-22-22-2-222000-21212-1-2-111-1-100−33−3−333002i−2i0000000−i3i3000000−ii
χ752-22-222-2-20002-1-2-1-2121-1-11100−33−3−333002i−2i0000000i3−i3000000−ii-22-22-2-222000-21212-1-2-111-1-1003−333−3−300−2i2i0000000−i3i3000000i−i
χ762-22-222-2-20002-1-2-1-2121-1-11100−33−3−33300−2i2i0000000−i3i3000000i−i-22-22-2-222000-21212-1-2-111-1-1003−333−3−3002i−2i0000000i3−i3000000−ii
χ772-2-222-2-22000222-2-2-2-222-22-2000000002-200000002-20000000000-222-2-222-2000-2-2-22222-2-22-2200000000-220000000-220000000000
χ782-2-222-2-22000222-2-2-2-222-22-200000000-220000000-220000000000-222-2-222-2000-2-2-22222-2-22-22000000002-200000002-20000000000
χ792-2-222-2-22000-12-1-21-212-11-113−3003−33−32-20000000-110000003−300-222-2-222-20001-212-12-1-21-11-1−3300−33−33-2200000001-1000000−3300
χ802-2-222-2-22000-12-1-21-212-11-113−3003−33−3-2200000001-1000000−3300-222-2-222-20001-212-12-1-21-11-1−3300−33−332-20000000-110000003−300
χ812-2-222-2-22000-12-1-21-212-11-11−3300−33−332-20000000-11000000−3300-222-2-222-20001-212-12-1-21-11-13−3003−33−3-2200000001-10000003−300
χ822-2-222-2-22000-12-1-21-212-11-11−3300−33−33-2200000001-10000003−300-222-2-222-20001-212-12-1-21-11-13−3003−33−32-20000000-11000000−3300
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
χ8544-4-44-44-40004-2-424-2-42-222-200000000000000000000000000000-4-444-44-44000-424-2-424-22-2-2200000000000000000000000000000
χ8644-4-44-44-4000-242-4-242-4-222-200000000000000000000000000000-4-444-44-440002-4-242-4-242-2-2200000000000000000000000000000
χ8744-4-44-44-4000-2-222-2-2221-1-1100003-3-33000000000000000000000-4-444-44-4400022-2-222-2-2-111-10000-333-3000000000000000000000
χ8844-4-44-44-4000-2-222-2-2221-1-110000-333-3000000000000000000000-4-444-44-4400022-2-222-2-2-111-100003-3-33000000000000000000000
χ894-44-444-4-4000-24242-4-2-4-2-22200000000000000000000000000000-44-44-4-4440002-4-2-4-242422-2-200000000000000000000000000000
χ904-44-444-4-4000-2-22-222-2211-1-10023−23−3−333000000000000000000000-44-44-4-44400022-22-2-22-2-1-11100−232333−3−3000000000000000000000
χ914-44-444-4-4000-2-22-222-2211-1-100−232333−3−3000000000000000000000-44-44-4-44400022-22-2-22-2-1-1110023−23−3−333000000000000000000000
χ924-4-444-4-440004-242-42-4-2-22-2200000000000000000000000000000-444-4-444-4000-42-4-24-2422-22-200000000000000000000000000000
χ934-4-444-4-44000-2-2-22222-21-11-123−2300−33−33000000000000000000000-444-4-444-4000222-2-2-2-22-11-11−2323003−33−3000000000000000000000
χ944-4-444-4-44000-2-2-22222-21-11-1−2323003−33−3000000000000000000000-444-4-444-4000222-2-2-2-22-11-1123−2300−33−33000000000000000000000
χ956666-3-3-3-36-3-3000000000000000000000000220020000-1-1-1-10000-6-6-6-63333-633000000000000000000000000-2-200-2000011110000
χ966666-3-3-3-36-3-3000000000000000000000000-2-200-2000011110000-6-6-6-63333-633000000000000000000000000220020000-1-1-1-10000
χ976666-3-3-3-3-6330000000000000000000000002200-20000-1-1110000-6-6-6-633336-3-3000000000000000000000000-2-2002000011-1-10000
χ986666-3-3-3-3-633000000000000000000000000-2-2002000011-1-10000-6-6-6-633336-3-30000000000000000000000002200-20000-1-1110000
χ9966-6-6-33-330−3i33i30000000000000000000000002i−2i0000000−ii3−30000-6-6663-33-303i3−3i3000000000000000000000000−2i2i0000000i−i−330000
χ10066-6-6-33-330−3i33i3000000000000000000000000−2i2i0000000i−i−330000-6-6663-33-303i3−3i30000000000000000000000002i−2i0000000−ii3−30000
χ10166-6-6-33-3303i3−3i30000000000000000000000002i−2i0000000−ii−330000-6-6663-33-30−3i33i3000000000000000000000000−2i2i0000000i−i3−30000
χ10266-6-6-33-3303i3−3i3000000000000000000000000−2i2i0000000i−i3−30000-6-6663-33-30−3i33i30000000000000000000000002i−2i0000000−ii−330000
χ10312-1212-12-6-66600000000000000000000000000000000000000000000-1212-121266-6-600000000000000000000000000000000000000000000
χ10412-12-1212-666-600000000000000000000000000000000000000000000-121212-126-6-6600000000000000000000000000000000000000000000

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