Finite Group Databasebeta

← Group #13181127

Character table — Group #13181127

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11222444444488888888899181818181818183636363636363636363636363672721122244444448888888889918181818181818363636363636363636363636367272
order1234633661212123366121212121222224446644446612121212121212121222646666612121266661212121212222244466444466121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-11111-1-1-1-11-1-1-1-1-1-11111111111111111111111111-1-11-1-11111-1-1-1-11-1-1-1-1-1-111
χ411111111111111111111111-1-11-1-111-1-111-1-11-1-11111-1-111111111111111111111111-1-11-1-111-1-111-1-11-1-11111-1-1
χ5111-111111-1-1-11111-1-1-1-1-11111-1-1-1111-11-111-1-1-111-1-11-1111-111111-1-1-11111-1-1-1-1-11111-1-1-1111-11-111-1-1-111-1-11-1
χ6111-111111-1-1-11111-1-1-1-1-11111-1-1-111-11-1111-1-1-1-1-111-11111-111111-1-1-11111-1-1-1-1-11111-1-1-111-11-1111-1-1-1-1-111-11
χ7111-111111-1-1-11111-1-1-1-1-111-1-1-111111-1-11-1-1-111-1-1111-1111-111111-1-1-11111-1-1-1-1-111-1-1-111111-1-11-1-1-111-1-1111-1
χ8111-111111-1-1-11111-1-1-1-1-111-1-1-11111-111-1-1-1-11111-1-1-11111-111111-1-1-11111-1-1-1-1-111-1-1-11111-111-1-1-1-11111-1-1-11
χ9222222222222222222222-2-200-200-2-2000000-200000000222222222222222222222-2-200-200-2-2000000-200000000
χ10222-222222-2-2-22222-2-2-2-2-2-2-200200-2-2000000200000000222-222222-2-2-22222-2-2-2-2-2-2-200200-2-2000000200000000
χ1122-12-12222-122-1-1-1-12-1-1-1-12200200-1-1002200-100-1-1-1-10022-12-12222-122-1-1-1-12-1-1-1-12200200-1-1002200-100-1-1-1-100
χ1222-12-12222-122-1-1-1-12-1-1-1-12200200-1-100-2-200-10011110022-12-12222-122-1-1-1-12-1-1-1-12200200-1-100-2-200-100111100
χ1322-12-12222-122-1-1-1-12-1-1-1-1-2-200-200110000001003−33−30022-12-12222-122-1-1-1-12-1-1-1-1-2-200-200110000001003−33−300
χ1422-12-12222-122-1-1-1-12-1-1-1-1-2-200-20011000000100−33−330022-12-12222-122-1-1-1-12-1-1-1-1-2-200-20011000000100−33−3300
χ1522-1-2-122221-2-2-1-1-1-1-211112200-200-1-1002-200100-1-1110022-1-2-122221-2-2-1-1-1-1-211112200-200-1-1002-200100-1-11100
χ1622-1-2-122221-2-2-1-1-1-1-211112200-200-1-100-220010011-1-10022-1-2-122221-2-2-1-1-1-1-211112200-200-1-100-220010011-1-100
χ1722-1-2-122221-2-2-1-1-1-1-21111-2-20020011000000-1003−3−330022-1-2-122221-2-2-1-1-1-1-21111-2-20020011000000-1003−3−3300
χ1822-1-2-122221-2-2-1-1-1-1-21111-2-20020011000000-100−333−30022-1-2-122221-2-2-1-1-1-1-21111-2-20020011000000-100−333−300
χ192-220-222-2-200022-2-2000002-22-20002-200002-20000000002-220-222-2-200022-2-2000002-22-20002-200002-2000000000
χ202-220-222-2-200022-2-2000002-2-220002-20000-220000000002-220-222-2-200022-2-2000002-2-220002-20000-22000000000
χ212-220-222-2-200022-2-200000-220002i−2i-2200000002i−2i0000002-220-222-2-200022-2-200000-220002i−2i-2200000002i−2i000000
χ222-220-222-2-200022-2-200000-22000−2i2i-220000000−2i2i0000002-220-222-2-200022-2-200000-22000−2i2i-220000000−2i2i000000
χ23444441-2-214-2-21-21-2111-2-20000000002200000000000-1-1444441-2-214-2-21-21-2111-2-20000000002200000000000-1-1
χ24444441-2-214-2-21-21-2111-2-2000000000-2-20000000000011444441-2-214-2-21-21-2111-2-2000000000-2-20000000000011
χ2544444-211-2411-21-21-2-2-2110022022000000-1-10-1-100000044444-211-2411-21-21-2-2-2110022022000000-1-10-1-1000000
χ2644444-211-2411-21-21-2-2-21100-2-20-2-20000001101100000044444-211-2411-21-21-2-2-21100-2-20-2-200000011011000000
χ27444-441-2-21-4221-21-2-1-1-1220000000002-200000000000-11444-441-2-21-4221-21-2-1-1-1220000000002-200000000000-11
χ28444-441-2-21-4221-21-2-1-1-122000000000-22000000000001-1444-441-2-21-4221-21-2-1-1-122000000000-22000000000001-1
χ29444-44-211-2-4-1-1-21-21222-1-100220-2-2000000-1-1011000000444-44-211-2-4-1-1-21-21222-1-100220-2-2000000-1-1011000000
χ30444-44-211-2-4-1-1-21-21222-1-100-2-2022000000110-1-1000000444-44-211-2-4-1-1-21-21222-1-100-2-2022000000110-1-1000000
χ314-440-4-21-1203i−3i-212-10003i−3i002-202i−2i000000-110−ii0000004-440-4-21-1203i−3i-212-10003i−3i002-202i−2i000000-110−ii000000
χ324-440-4-21-1203i−3i-212-10003i−3i00-220−2i2i0000001-10i−i0000004-440-4-21-1203i−3i-212-10003i−3i00-220−2i2i0000001-10i−i000000
χ334-440-4-21-120−3i3i-212-1000−3i3i002-20−2i2i000000-110i−i0000004-440-4-21-120−3i3i-212-1000−3i3i002-20−2i2i000000-110i−i000000
χ344-440-4-21-120−3i3i-212-1000−3i3i00-2202i−2i0000001-10−ii0000004-440-4-21-120−3i3i-212-1000−3i3i00-2202i−2i0000001-10−ii000000
χ354-4-20244-4-4000-2-222000004-400000-220000000000000004-4-20244-4-4000-2-222000004-400000-22000000000000000
χ364-4-20244-4-4000-2-22200000-44000002-20000000000000004-4-20244-4-4000-2-22200000-44000002-2000000000000000
χ3788-48-42-4-42-4-4-4-12-122-1-12200000000000000000000000088-48-42-4-42-4-4-4-12-122-1-122000000000000000000000000
χ3888-48-4-422-4-4222-12-1-422-1-100000000000000000000000088-48-4-422-4-4222-12-1-422-1-1000000000000000000000000
χ3988-4-8-42-4-42444-12-12-211-2-200000000000000000000000088-4-8-42-4-42444-12-12-211-2-2000000000000000000000000
χ4088-4-8-4-422-44-2-22-12-14-2-21100000000000000000000000088-4-8-4-422-44-2-22-12-14-2-211000000000000000000000000
χ418-880-82-44-20002-4-24000000000000000000000000000008-880-82-44-20002-4-2400000000000000000000000000000
χ428-8-4042-44-2000-121-2033−33000000000000000000000000008-8-4042-44-2000-121-2033−3300000000000000000000000000
χ438-8-4042-44-2000-121-20−3333000000000000000000000000008-8-4042-44-2000-121-20−333300000000000000000000000000
χ448-8-404-42-2406i−6i2-1-21000−3i3i0000000000000000000000008-8-404-42-2406i−6i2-1-21000−3i3i000000000000000000000000
χ458-8-404-42-240−6i6i2-1-210003i−3i0000000000000000000000008-8-404-42-240−6i6i2-1-210003i−3i000000000000000000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ47111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111
χ4811111111111111111111111-1-11-1-11111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1111111-1-1
χ4911111111111111111111111-1-11-1-111-1-111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111-111-1-1-1-111
χ50111-111111-1-1-11111-1-1-1-1-11111-1-1-1111-11-111-1-1-111-1-11-1-1-1-11-1-1-1-1-1111-1-1-1-111111-1-1-1-1111-1-1-11-11-1-1111-1-111-11
χ51111-111111-1-1-11111-1-1-1-1-11111-1-1-111-11-1111-1-1-1-1-111-11-1-1-11-1-1-1-1-1111-1-1-1-111111-1-1-1-1111-1-11-11-1-1-111111-1-11-1
χ52111-111111-1-1-11111-1-1-1-1-111-1-1-111111-1-11-1-1-111-1-1111-1-1-1-11-1-1-1-1-1111-1-1-1-111111-1-1111-1-1-1-1-111-1111-1-111-1-1-11
χ53111-111111-1-1-11111-1-1-1-1-111-1-1-11111-111-1-1-1-11111-1-1-11-1-1-11-1-1-1-1-1111-1-1-1-111111-1-1111-1-1-1-11-1-11111-1-1-1-1111-1
χ54222222222222222222222-2-200-200-2-2000000-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2220020022000000200000000
χ55222-222222-2-2-22222-2-2-2-2-2-2-200200-2-2000000200000000-2-2-22-2-2-2-2-2222-2-2-2-2222222200-20022000000-200000000
χ5622-12-12222-122-1-1-1-12-1-1-1-12200200-1-1002200-100-1-1-1-100-2-21-21-2-2-2-21-2-21111-21111-2-200-2001100-2-200100111100
χ5722-12-12222-122-1-1-1-12-1-1-1-12200200-1-100-2-200-100111100-2-21-21-2-2-2-21-2-21111-21111-2-200-20011002200100-1-1-1-100
χ5822-12-12222-122-1-1-1-12-1-1-1-1-2-200-200110000001003−33−300-2-21-21-2-2-2-21-2-21111-211112200200-1-1000000-100−33−3300
χ5922-12-12222-122-1-1-1-12-1-1-1-1-2-200-20011000000100−33−3300-2-21-21-2-2-2-21-2-21111-211112200200-1-1000000-1003−33−300
χ6022-1-2-122221-2-2-1-1-1-1-211112200-200-1-1002-200100-1-11100-2-2121-2-2-2-2-12211112-1-1-1-1-2-2002001100-2200-10011-1-100
χ6122-1-2-122221-2-2-1-1-1-1-211112200-200-1-100-220010011-1-100-2-2121-2-2-2-2-12211112-1-1-1-1-2-20020011002-200-100-1-11100
χ6222-1-2-122221-2-2-1-1-1-1-21111-2-20020011000000-1003−3−3300-2-2121-2-2-2-2-12211112-1-1-1-12200-200-1-1000000100−333−300
χ6322-1-2-122221-2-2-1-1-1-1-21111-2-20020011000000-100−333−300-2-2121-2-2-2-2-12211112-1-1-1-12200-200-1-10000001003−3−3300
χ642-220-222-2-200022-2-2000002-22-20002-200002-2000000000-22-202-2-222000-2-22200000-22-22000-220000-22000000000
χ652-220-222-2-200022-2-2000002-2-220002-20000-22000000000-22-202-2-222000-2-22200000-222-2000-2200002-2000000000
χ662-220-222-2-200022-2-200000-220002i−2i-2200000002i−2i000000-22-202-2-222000-2-222000002-2000−2i2i2-20000000−2i2i000000
χ672-220-222-2-200022-2-200000-22000−2i2i-220000000−2i2i000000-22-202-2-222000-2-222000002-20002i−2i2-200000002i−2i000000
χ68444441-2-214-2-21-21-2111-2-20000000002200000000000-1-1-4-4-4-4-4-122-1-422-12-12-1-1-122000000000-2-20000000000011
χ69444441-2-214-2-21-21-2111-2-2000000000-2-20000000000011-4-4-4-4-4-122-1-422-12-12-1-1-1220000000002200000000000-1-1
χ7044444-211-2411-21-21-2-2-2110022022000000-1-10-1-1000000-4-4-4-4-42-1-12-4-1-12-12-1222-1-100-2-20-2-200000011011000000
χ7144444-211-2411-21-21-2-2-21100-2-20-2-200000011011000000-4-4-4-4-42-1-12-4-1-12-12-1222-1-10022022000000-1-10-1-1000000
χ72444-441-2-21-4221-21-2-1-1-1220000000002-200000000000-11-4-4-44-4-122-14-2-2-12-12111-2-2000000000-22000000000001-1
χ73444-441-2-21-4221-21-2-1-1-122000000000-22000000000001-1-4-4-44-4-122-14-2-2-12-12111-2-20000000002-200000000000-11
χ74444-44-211-2-4-1-1-21-21222-1-100220-2-2000000-1-1011000000-4-4-44-42-1-124112-12-1-2-2-21100-2-2022000000110-1-1000000
χ75444-44-211-2-4-1-1-21-21222-1-100-2-2022000000110-1-1000000-4-4-44-42-1-124112-12-1-2-2-21100220-2-2000000-1-1011000000
χ764-440-4-21-1203i−3i-212-10003i−3i002-202i−2i000000-110−ii000000-44-4042-11-20−3i3i2-1-21000−3i3i00-220−2i2i0000001-10i−i000000
χ774-440-4-21-1203i−3i-212-10003i−3i00-220−2i2i0000001-10i−i000000-44-4042-11-20−3i3i2-1-21000−3i3i002-202i−2i000000-110−ii000000
χ784-440-4-21-120−3i3i-212-1000−3i3i002-20−2i2i000000-110i−i000000-44-4042-11-203i−3i2-1-210003i−3i00-2202i−2i0000001-10−ii000000
χ794-440-4-21-120−3i3i-212-1000−3i3i00-2202i−2i0000001-10−ii000000-44-4042-11-203i−3i2-1-210003i−3i002-20−2i2i000000-110i−i000000
χ804-4-20244-4-4000-2-222000004-400000-22000000000000000-4420-2-4-44400022-2-200000-44000002-2000000000000000
χ814-4-20244-4-4000-2-22200000-44000002-2000000000000000-4420-2-4-44400022-2-2000004-400000-22000000000000000
χ8288-48-42-4-42-4-4-4-12-122-1-122000000000000000000000000-8-84-84-244-24441-21-2-211-2-2000000000000000000000000
χ8388-48-4-422-4-4222-12-1-422-1-1000000000000000000000000-8-84-844-2-244-2-2-21-214-2-211000000000000000000000000
χ8488-4-8-42-4-42444-12-12-211-2-2000000000000000000000000-8-8484-244-2-4-4-41-21-22-1-122000000000000000000000000
χ8588-4-8-4-422-44-2-22-12-14-2-211000000000000000000000000-8-84844-2-24-422-21-21-422-1-1000000000000000000000000
χ868-880-82-44-20002-4-2400000000000000000000000000000-88-808-24-42000-242-400000000000000000000000000000
χ878-8-4042-44-2000-121-2033−3300000000000000000000000000-8840-4-24-420001-2-120−333300000000000000000000000000
χ888-8-4042-44-2000-121-20−333300000000000000000000000000-8840-4-24-420001-2-12033−3300000000000000000000000000
χ898-8-404-42-2406i−6i2-1-21000−3i3i000000000000000000000000-8840-44-22-40−6i6i-212-10003i−3i000000000000000000000000
χ908-8-404-42-240−6i6i2-1-210003i−3i000000000000000000000000-8840-44-22-406i−6i-212-1000−3i3i000000000000000000000000

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