Finite Group Databasebeta

← Group #13150699

Character table — Group #13150699

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222444666666661212121212121212121212121818181818183636363636363636363636363636361111222244466666666121212121212121212121212181818181818363636363636363636363636363636
order122236664121233666666366612121212121212122244444446612121212121212121212222266664121266666666666612121212121212122244444446612121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-1111111111111111111111111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111-1-111-1-1-11-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-111-1-1-11-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111-1-1-1-111-1-11-1-11111-1-1-1-1-1-11111111111111111111111111111111-1-1-1-111-1-11-1-11111-1-1-1-1-1-1
χ511111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-11111111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-111
χ611111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-111-1-1
χ711111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1-11111-1-11111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1-11111-1-111
χ811111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-1
χ9222222222222-12-1-12-12-1-1-1-1-1-122-1-1-1-1220000200-1-10000-1-10000222222222222-12-1-12-12-1-1-1-1-1-122-1-1-1-1220000200-1-10000-1-10000
χ10222222222222-12-1-12-12-1-1-1-1-1-122-1-1-1-1-2-20000-200110000110000222222222222-12-1-12-12-1-1-1-1-1-122-1-1-1-1-2-20000-200110000110000
χ1122222222222-12-122-12-1-1-1-1-122-1-1-1-1-1-100220002000000000-1-1-1-122222222222-12-122-12-1-1-1-1-122-1-1-1-1-1-100220002000000000-1-1-1-1
χ1222222222222-12-122-12-1-1-1-1-122-1-1-1-1-1-100-2-2000-2000000000111122222222222-12-122-12-1-1-1-1-122-1-1-1-1-1-100-2-2000-20000000001111
χ1322222222-2-2-22-12-1-12-12-1-1-1-111-2-21111220000-200-1-1000011000022222222-2-2-22-12-1-12-12-1-1-1-111-2-21111220000-200-1-10000110000
χ1422222222-2-2-22-12-1-12-12-1-1-1-111-2-21111-2-20000200110000-1-1000022222222-2-2-22-12-1-12-12-1-1-1-111-2-21111-2-20000200110000-1-10000
χ1522222222-2-2-2-12-122-12-1-1-1-1-1-2-21111110022000-200000000011-1-122222222-2-2-2-12-122-12-1-1-1-1-1-2-21111110022000-200000000011-1-1
χ1622222222-2-2-2-12-122-12-1-1-1-1-1-2-211111100-2-20002000000000-1-11122222222-2-2-2-12-122-12-1-1-1-1-1-2-211111100-2-20002000000000-1-111
χ1722-2-222-2-20002222-2-2-2-222-2-2000000002-200000002-2000000000022-2-222-2-20002222-2-2-2-222-2-2000000002-200000002-20000000000
χ1822-2-222-2-20002222-2-2-2-222-2-200000000-220000000-22000000000022-2-222-2-20002222-2-2-2-222-2-200000000-220000000-220000000000
χ1922-2-222-2-20002-12-11-21-2-1-1113−30033−3−32-20000000-1100003−3000022-2-222-2-20002-12-11-21-2-1-1113−30033−3−32-20000000-1100003−30000
χ2022-2-222-2-20002-12-11-21-2-1-1113−30033−3−3-2200000001-10000−33000022-2-222-2-20002-12-11-21-2-1-1113−30033−3−3-2200000001-10000−330000
χ2122-2-222-2-20002-12-11-21-2-1-111−3300−3−3332-20000000-110000−33000022-2-222-2-20002-12-11-21-2-1-111−3300−3−3332-20000000-110000−330000
χ2222-2-222-2-20002-12-11-21-2-1-111−3300−3−333-2200000001-100003−3000022-2-222-2-20002-12-11-21-2-1-111−3300−3−333-2200000001-100003−30000
χ232-22-22-22-200022-2-2-222-22-22-200000000002i−2i0000000000000002i−2i2-22-22-22-200022-2-2-222-22-22-200000000002i−2i0000000000000002i−2i
χ242-22-22-22-200022-2-2-222-22-22-20000000000−2i2i000000000000000−2i2i2-22-22-22-200022-2-2-222-22-22-20000000000−2i2i000000000000000−2i2i
χ252-22-22-22-2000-121-2-2-121-11-11003−33−33−3002i−2i0000000000000−i3i3−ii2-22-22-22-2000-121-2-2-121-11-11003−33−33−3002i−2i0000000000000−i3i3−ii
χ262-22-22-22-2000-121-2-2-121-11-11003−33−33−300−2i2i0000000000000i3−i3i−i2-22-22-22-2000-121-2-2-121-11-11003−33−33−300−2i2i0000000000000i3−i3i−i
χ272-22-22-22-2000-121-2-2-121-11-1100−33−33−33002i−2i0000000000000i3−i3−ii2-22-22-22-2000-121-2-2-121-11-1100−33−33−33002i−2i0000000000000i3−i3−ii
χ282-22-22-22-2000-121-2-2-121-11-1100−33−33−3300−2i2i0000000000000−i3i3i−i2-22-22-22-2000-121-2-2-121-11-1100−33−33−3300−2i2i0000000000000−i3i3i−i
χ292-2-222-2-2200022-2-22-2-222-2-220000000000002-2000002-2000000002-2-222-2-2200022-2-22-2-222-2-220000000000002-2000002-200000000
χ302-2-222-2-2200022-2-22-2-222-2-22000000000000-2200000-22000000002-2-222-2-2200022-2-22-2-222-2-22000000000000-2200000-2200000000
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
χ3344-4-444-4-4000-24-24-42-42-2-2220000000000000000000000000000044-4-444-4-4000-24-24-42-42-2-22200000000000000000000000000000
χ3444-4-444-4-4000-2-2-2-2222211-1-123−2300−3−33300000000000000000000044-4-444-4-4000-2-2-2-2222211-1-123−2300−3−333000000000000000000000
χ3544-4-444-4-4000-2-2-2-2222211-1-1−23230033−3−300000000000000000000044-4-444-4-4000-2-2-2-2222211-1-1−23230033−3−3000000000000000000000
χ364-44-44-44-40004-2-4224-2-4-22-22000000000000000000000000000004-44-44-44-40004-2-4224-2-4-22-2200000000000000000000000000000
χ374-44-44-44-4000-2-2222-2-221-11-10023−23−33−330000000000000000000004-44-44-44-4000-2-2222-2-221-11-10023−23−33−33000000000000000000000
χ384-44-44-44-4000-2-2222-2-221-11-100−23233−33−30000000000000000000004-44-44-44-4000-2-2222-2-221-11-100−23233−33−3000000000000000000000
χ394-4-444-4-440004-2-42-2-424-222-2000000000000000000000000000004-4-444-4-440004-2-42-2-424-222-200000000000000000000000000000
χ404-4-444-4-44000-242-442-4-2-222-2000000000000000000000000000004-4-444-4-44000-242-442-4-2-222-200000000000000000000000000000
χ414-4-444-4-44000-2-222-222-21-1-1100003-3-330000000000000000000004-4-444-4-44000-2-222-222-21-1-1100003-3-33000000000000000000000
χ424-4-444-4-44000-2-222-222-21-1-110000-333-30000000000000000000004-4-444-4-44000-2-222-222-21-1-110000-333-3000000000000000000000
χ436666-3-3-3-36-3-30000000000000000000000002200200-1-1-1-10000006666-3-3-3-36-3-30000000000000000000000002200200-1-1-1-1000000
χ446666-3-3-3-36-3-3000000000000000000000000-2-200-20011110000006666-3-3-3-36-3-3000000000000000000000000-2-200-2001111000000
χ456666-3-3-3-3-6330000000000000000000000002200-200-1-1110000006666-3-3-3-3-6330000000000000000000000002200-200-1-111000000
χ466666-3-3-3-3-633000000000000000000000000-2-20020011-1-10000006666-3-3-3-3-633000000000000000000000000-2-20020011-1-1000000
χ476-6-66-333-30−3i33i30000000000000000000000002-200000-11−i3i30000006-6-66-333-30−3i33i30000000000000000000000002-200000-11−i3i3000000
χ486-6-66-333-30−3i33i3000000000000000000000000-22000001-1i3−i30000006-6-66-333-30−3i33i3000000000000000000000000-22000001-1i3−i3000000
χ496-6-66-333-303i3−3i30000000000000000000000002-200000-11i3−i30000006-6-66-333-303i3−3i30000000000000000000000002-200000-11i3−i3000000
χ506-6-66-333-303i3−3i3000000000000000000000000-22000001-1−i3i30000006-6-66-333-303i3−3i3000000000000000000000000-22000001-1−i3i3000000
χ511212-12-12-6-666000000000000000000000000000000000000000000001212-12-12-6-66600000000000000000000000000000000000000000000
χ5212-1212-12-66-660000000000000000000000000000000000000000000012-1212-12-66-6600000000000000000000000000000000000000000000
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
χ54111111111111111111111111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-11111
χ551111111111111111111111111111111-1-111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1111111111-1-1-1-1
χ561111111111111111111111111111111-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-1111111
χ5711111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1
χ5811111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-1-1-111-1-111-1-111
χ5911111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-11-11111-1-1-1-111-1-1
χ6011111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-111-1-1-1-111
χ61222222222222-12-1-12-12-1-1-1-1-1-122-1-1-1-1220000200-1-10000-1-10000-2-2-2-2-2-2-2-2-2-2-2-21-211-21-2111111-2-21111-2-20000-200110000110000
χ62222222222222-12-1-12-12-1-1-1-1-1-122-1-1-1-1-2-20000-200110000110000-2-2-2-2-2-2-2-2-2-2-2-21-211-21-2111111-2-21111220000200-1-10000-1-10000
χ6322222222222-12-122-12-1-1-1-1-122-1-1-1-1-1-100220002000000000-1-1-1-1-2-2-2-2-2-2-2-2-2-2-21-21-2-21-211111-2-211111100-2-2000-20000000001111
χ6422222222222-12-122-12-1-1-1-1-122-1-1-1-1-1-100-2-2000-20000000001111-2-2-2-2-2-2-2-2-2-2-21-21-2-21-211111-2-211111100220002000000000-1-1-1-1
χ6522222222-2-2-22-12-1-12-12-1-1-1-111-2-21111220000-200-1-10000110000-2-2-2-2-2-2-2-2222-21-211-21-21111-1-122-1-1-1-1-2-20000200110000-1-10000
χ6622222222-2-2-22-12-1-12-12-1-1-1-111-2-21111-2-20000200110000-1-10000-2-2-2-2-2-2-2-2222-21-211-21-21111-1-122-1-1-1-1220000-200-1-10000110000
χ6722222222-2-2-2-12-122-12-1-1-1-1-1-2-21111110022000-200000000011-1-1-2-2-2-2-2-2-2-22221-21-2-21-21111122-1-1-1-1-1-100-2-20002000000000-1-111
χ6822222222-2-2-2-12-122-12-1-1-1-1-1-2-211111100-2-20002000000000-1-111-2-2-2-2-2-2-2-22221-21-2-21-21111122-1-1-1-1-1-10022000-200000000011-1-1
χ6922-2-222-2-20002222-2-2-2-222-2-2000000002-200000002-20000000000-2-222-2-222000-2-2-2-22222-2-22200000000-220000000-220000000000
χ7022-2-222-2-20002222-2-2-2-222-2-200000000-220000000-220000000000-2-222-2-222000-2-2-2-22222-2-222000000002-200000002-20000000000
χ7122-2-222-2-20002-12-11-21-2-1-1113−30033−3−32-20000000-1100003−30000-2-222-2-222000-21-21-12-1211-1-1−3300−3−333-2200000001-10000−330000
χ7222-2-222-2-20002-12-11-21-2-1-1113−30033−3−3-2200000001-10000−330000-2-222-2-222000-21-21-12-1211-1-1−3300−3−3332-20000000-1100003−30000
χ7322-2-222-2-20002-12-11-21-2-1-111−3300−3−3332-20000000-110000−330000-2-222-2-222000-21-21-12-1211-1-13−30033−3−3-2200000001-100003−30000
χ7422-2-222-2-20002-12-11-21-2-1-111−3300−3−333-2200000001-100003−30000-2-222-2-222000-21-21-12-1211-1-13−30033−3−32-20000000-110000−330000
χ752-22-22-22-200022-2-2-222-22-22-200000000002i−2i0000000000000002i−2i-22-22-22-22000-2-2222-2-22-22-220000000000−2i2i000000000000000−2i2i
χ762-22-22-22-200022-2-2-222-22-22-20000000000−2i2i000000000000000−2i2i-22-22-22-22000-2-2222-2-22-22-2200000000002i−2i0000000000000002i−2i
χ772-22-22-22-2000-121-2-2-121-11-11003−33−33−3002i−2i0000000000000−i3i3−ii-22-22-22-220001-2-1221-2-11-11-100−33−33−3300−2i2i0000000000000i3−i3i−i
χ782-22-22-22-2000-121-2-2-121-11-11003−33−33−300−2i2i0000000000000i3−i3i−i-22-22-22-220001-2-1221-2-11-11-100−33−33−33002i−2i0000000000000−i3i3−ii
χ792-22-22-22-2000-121-2-2-121-11-1100−33−33−33002i−2i0000000000000i3−i3−ii-22-22-22-220001-2-1221-2-11-11-1003−33−33−300−2i2i0000000000000−i3i3i−i
χ802-22-22-22-2000-121-2-2-121-11-1100−33−33−3300−2i2i0000000000000−i3i3i−i-22-22-22-220001-2-1221-2-11-11-1003−33−33−3002i−2i0000000000000i3−i3−ii
χ812-2-222-2-2200022-2-22-2-222-2-220000000000002-2000002-200000000-222-2-222-2000-2-222-222-2-222-2000000000000-2200000-2200000000
χ822-2-222-2-2200022-2-22-2-222-2-22000000000000-2200000-2200000000-222-2-222-2000-2-222-222-2-222-20000000000002-2000002-200000000
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
χ8544-4-444-4-4000-24-24-42-42-2-22200000000000000000000000000000-4-444-4-4440002-42-44-24-222-2-200000000000000000000000000000
χ8644-4-444-4-4000-2-2-2-2222211-1-123−2300−3−333000000000000000000000-4-444-4-4440002222-2-2-2-2-1-111−23230033−3−3000000000000000000000
χ8744-4-444-4-4000-2-2-2-2222211-1-1−23230033−3−3000000000000000000000-4-444-4-4440002222-2-2-2-2-1-11123−2300−3−333000000000000000000000
χ884-44-44-44-40004-2-4224-2-4-22-2200000000000000000000000000000-44-44-44-44000-424-2-2-4242-22-200000000000000000000000000000
χ894-44-44-44-4000-2-2222-2-221-11-10023−23−33−33000000000000000000000-44-44-44-4400022-2-2-222-2-11-1100−23233−33−3000000000000000000000
χ904-44-44-44-4000-2-2222-2-221-11-100−23233−33−3000000000000000000000-44-44-44-4400022-2-2-222-2-11-110023−23−33−33000000000000000000000
χ914-4-444-4-440004-2-42-2-424-222-200000000000000000000000000000-444-4-444-4000-424-224-2-42-2-2200000000000000000000000000000
χ924-4-444-4-44000-242-442-4-2-222-200000000000000000000000000000-444-4-444-40002-4-24-4-2422-2-2200000000000000000000000000000
χ934-4-444-4-44000-2-222-222-21-1-1100003-3-33000000000000000000000-444-4-444-400022-2-22-2-22-111-10000-333-3000000000000000000000
χ944-4-444-4-44000-2-222-222-21-1-110000-333-3000000000000000000000-444-4-444-400022-2-22-2-22-111-100003-3-33000000000000000000000
χ956666-3-3-3-36-3-30000000000000000000000002200200-1-1-1-1000000-6-6-6-63333-633000000000000000000000000-2-200-2001111000000
χ966666-3-3-3-36-3-3000000000000000000000000-2-200-2001111000000-6-6-6-63333-6330000000000000000000000002200200-1-1-1-1000000
χ976666-3-3-3-3-6330000000000000000000000002200-200-1-111000000-6-6-6-633336-3-3000000000000000000000000-2-20020011-1-1000000
χ986666-3-3-3-3-633000000000000000000000000-2-20020011-1-1000000-6-6-6-633336-3-30000000000000000000000002200-200-1-111000000
χ996-6-66-333-30−3i33i30000000000000000000000002-200000-11−i3i3000000-666-63-3-3303i3−3i3000000000000000000000000-22000001-1i3−i3000000
χ1006-6-66-333-30−3i33i3000000000000000000000000-22000001-1i3−i3000000-666-63-3-3303i3−3i30000000000000000000000002-200000-11−i3i3000000
χ1016-6-66-333-303i3−3i30000000000000000000000002-200000-11i3−i3000000-666-63-3-330−3i33i3000000000000000000000000-22000001-1−i3i3000000
χ1026-6-66-333-303i3−3i3000000000000000000000000-22000001-1−i3i3000000-666-63-3-330−3i33i30000000000000000000000002-200000-11i3−i3000000
χ1031212-12-12-6-66600000000000000000000000000000000000000000000-12-12121266-6-600000000000000000000000000000000000000000000
χ10412-1212-12-66-6600000000000000000000000000000000000000000000-1212-12126-66-600000000000000000000000000000000000000000000

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