Finite Group Databasebeta

← Group #13152088

Character table — Group #13152088

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222444666666661212121212121212121212121818181818183636363636363636363636363636361111222244466666666121212121212121212121212181818181818363636363636363636363636363636
order12223666266336666663666666666664444442226666661212121212122222666626666666666666666666666444444222666666121212121212
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
χ31111111111111111111111111111111-1-111-1-1-11-1-1-111-1-1-1-111-1-11111111111111111111111111111111-1-111-1-1-11-1-1-111-1-1-1-111-1-1
χ41111111111111111111111111111111-1-1-1-111-1-11-1-1-1-111-1-1-1-1111111111111111111111111111111111-1-1-1-111-1-11-1-1-1-111-1-1-1-111
χ511111111-1-1-1111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111
χ611111111-1-1-1111111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1111111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-1
χ711111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-11-1111-1-111-1-111-1-111111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-11-1111-1-111-1-111-1-1
χ811111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-11111111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-111
χ9222222222222-122-1-12-1-122-1-1-1-1-1-1-1-1-10000220020000-1-10000-1-1222222222222-122-1-12-1-122-1-1-1-1-1-1-1-1-10000220020000-1-10000-1-1
χ10222222222222-122-1-12-1-122-1-1-1-1-1-1-1-1-10000-2-200-2000011000011222222222222-122-1-12-1-122-1-1-1-1-1-1-1-1-10000-2-200-2000011000011
χ1122222222222-12-1-122-12-1-1-122-1-1-1-1-1-1-100220002000-1-10000-1-10022222222222-12-1-122-12-1-1-122-1-1-1-1-1-1-100220002000-1-10000-1-100
χ1222222222222-12-1-122-12-1-1-122-1-1-1-1-1-1-100-2-2000-2000110000110022222222222-12-1-122-12-1-1-122-1-1-1-1-1-1-100-2-2000-20001100001100
χ1322222222-2-2-22-122-1-12-1-1-2-211-1-1-1111100002200-20000110000-1-122222222-2-2-22-122-1-12-1-1-2-211-1-1-1111100002200-20000110000-1-1
χ1422222222-2-2-22-122-1-12-1-1-2-211-1-1-111110000-2-20020000-1-100001122222222-2-2-22-122-1-12-1-1-2-211-1-1-111110000-2-20020000-1-1000011
χ1522222222-2-2-2-12-1-122-12-111-2-2-1-1-111110022000-2000110000-1-10022222222-2-2-2-12-1-122-12-111-2-2-1-1-111110022000-2000110000-1-100
χ1622222222-2-2-2-12-1-122-12-111-2-2-1-1-1111100-2-20002000-1-10000110022222222-2-2-2-12-1-122-12-111-2-2-1-1-1111100-2-20002000-1-100001100
χ1722-2-222-2-2000222-2-2-2-22200002-2-2000000002-200000000000002-222-2-222-2-2000222-2-2-2-22200002-2-2000000002-200000000000002-2
χ1822-2-222-2-2000222-2-2-2-22200002-2-200000000-220000000000000-2222-2-222-2-2000222-2-2-2-22200002-2-200000000-220000000000000-22
χ1922-2-222-2-20002-12-211-2-1-100i3−i3-111i3i3−i3−i300002-20000000i3−i30000-1122-2-222-2-20002-12-211-2-1-100i3−i3-111i3i3−i3−i300002-20000000i3−i30000-11
χ2022-2-222-2-20002-12-211-2-1-100i3−i3-111i3i3−i3−i30000-220000000−i3i300001-122-2-222-2-20002-12-211-2-1-100i3−i3-111i3i3−i3−i30000-220000000−i3i300001-1
χ2122-2-222-2-20002-12-211-2-1-100−i3i3-111−i3−i3i3i300002-20000000−i3i30000-1122-2-222-2-20002-12-211-2-1-100−i3i3-111−i3−i3i3i300002-20000000−i3i30000-11
χ2222-2-222-2-20002-12-211-2-1-100−i3i3-111−i3−i3i3i30000-220000000i3−i300001-122-2-222-2-20002-12-211-2-1-100−i3i3-111−i3−i3i3i30000-220000000i3−i300001-1
χ232-22-22-22-200022-2-22-22-220000-22-20000002-200000000000002-2002-22-22-22-200022-2-22-22-220000-22-20000002-200000000000002-200
χ242-22-22-22-200022-2-22-22-220000-22-2000000-220000000000000-22002-22-22-22-200022-2-22-22-220000-22-2000000-220000000000000-2200
χ252-22-22-22-2000-12112-2-1-2-1i3−i3001-11i3−i3i3−i3002-20000000i3−i30000-11002-22-22-22-2000-12112-2-1-2-1i3−i3001-11i3−i3i3−i3002-20000000i3−i30000-1100
χ262-22-22-22-2000-12112-2-1-2-1i3−i3001-11i3−i3i3−i300-220000000−i3i300001-1002-22-22-22-2000-12112-2-1-2-1i3−i3001-11i3−i3i3−i300-220000000−i3i300001-100
χ272-22-22-22-2000-12112-2-1-2-1−i3i3001-11−i3i3−i3i3002-20000000−i3i30000-11002-22-22-22-2000-12112-2-1-2-1−i3i3001-11−i3i3−i3i3002-20000000−i3i30000-1100
χ282-22-22-22-2000-12112-2-1-2-1−i3i3001-11−i3i3−i3i300-220000000i3−i300001-1002-22-22-22-2000-12112-2-1-2-1−i3i3001-11−i3i3−i3i300-220000000i3−i300001-100
χ292-2-222-2-2200022-22-22-2-220000-2-2200002-200000000000002-200002-2-222-2-2200022-22-22-2-220000-2-2200002-200000000000002-20000
χ302-2-222-2-2200022-22-22-2-220000-2-220000-220000000000000-2200002-2-222-2-2200022-22-22-2-220000-2-220000-220000000000000-220000
χ3144444444444-2-2-2-2-2-2-2-21-2-2-2-2111111100000000000000000000044444444444-2-2-2-2-2-2-2-21-2-2-2-21111111000000000000000000000
χ3244444444-4-4-4-2-2-2-2-2-2-2-212222111-1-1-1-100000000000000000000044444444-4-4-4-2-2-2-2-2-2-2-212222111-1-1-1-1000000000000000000000
χ3344-4-444-4-4000-24-22-4-424-20000-222000000000000000000000000044-4-444-4-4000-24-22-4-424-20000-2220000000000000000000000000
χ3444-4-444-4-4000-2-2-22222-21002i3−2i31-1-1−i3−i3i3i300000000000000000000044-4-444-4-4000-2-2-22222-21002i3−2i31-1-1−i3−i3i3i3000000000000000000000
χ3544-4-444-4-4000-2-2-22222-2100−2i32i31-1-1i3i3−i3−i300000000000000000000044-4-444-4-4000-2-2-22222-2100−2i32i31-1-1i3i3−i3−i3000000000000000000000
χ364-44-44-44-40004-2-4-4-2242-200002-2200000000000000000000000004-44-44-44-40004-2-4-4-2242-200002-220000000000000000000000000
χ374-44-44-44-4000-2-222-22-2212i3−2i300-11-1−i3i3−i3i30000000000000000000004-44-44-44-4000-2-222-22-2212i3−2i300-11-1−i3i3−i3i3000000000000000000000
χ384-44-44-44-4000-2-222-22-221−2i32i300-11-1i3−i3i3−i30000000000000000000004-44-44-44-4000-2-222-22-221−2i32i300-11-1i3−i3i3−i3000000000000000000000
χ394-4-444-4-440004-2-442-2-42-2000022-200000000000000000000000004-4-444-4-440004-2-442-2-42-2000022-20000000000000000000000000
χ404-4-444-4-44000-242-2-442-4-2000022-200000000000000000000000004-4-444-4-44000-242-2-442-4-2000022-20000000000000000000000000
χ414-4-444-4-44000-2-22-22-22210000-1-113-3-330000000000000000000004-4-444-4-44000-2-22-22-22210000-1-113-3-33000000000000000000000
χ424-4-444-4-44000-2-22-22-22210000-1-11-333-30000000000000000000004-4-444-4-44000-2-22-22-22210000-1-11-333-3000000000000000000000
χ436666-3-3-3-36-3-300000000000000000000220000200-1-10000-1-100006666-3-3-3-36-3-300000000000000000000220000200-1-10000-1-10000
χ446666-3-3-3-36-3-300000000000000000000-2-20000-2001100001100006666-3-3-3-36-3-300000000000000000000-2-20000-200110000110000
χ456666-3-3-3-3-63300000000000000000000220000-200110000-1-100006666-3-3-3-3-63300000000000000000000220000-200110000-1-10000
χ466666-3-3-3-3-63300000000000000000000-2-20000200-1-100001100006666-3-3-3-3-63300000000000000000000-2-20000200-1-10000110000
χ476-6-66-333-303i3−3i3000000000000000000002-20000000i3−i30000-1100006-6-66-333-303i3−3i3000000000000000000002-20000000i3−i30000-110000
χ486-6-66-333-303i3−3i300000000000000000000-220000000−i3i300001-100006-6-66-333-303i3−3i300000000000000000000-220000000−i3i300001-10000
χ496-6-66-333-30−3i33i3000000000000000000002-20000000−i3i30000-1100006-6-66-333-30−3i33i3000000000000000000002-20000000−i3i30000-110000
χ506-6-66-333-30−3i33i300000000000000000000-220000000i3−i300001-100006-6-66-333-30−3i33i300000000000000000000-220000000i3−i300001-10000
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
χ551111111111111111111111111111111-1-111-1-1-11-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1111-1-11111-1-111
χ561111111111111111111111111111111-1-1-1-111-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11111-1-11111-1-1
χ5711111111-1-1-1111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ5811111111-1-1-1111111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111111-1-111-1-1-1-1-1-11111
χ5911111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-11-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-111-11-1-1-111-1-111-1-111
χ6011111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-11-1-1-1-1111111-1-1
χ61222222222222-122-1-12-1-122-1-1-1-1-1-1-1-1-10000220020000-1-10000-1-1-2-2-2-2-2-2-2-2-2-2-2-21-2-211-211-2-21111111110000-2-200-2000011000011
χ62222222222222-122-1-12-1-122-1-1-1-1-1-1-1-1-10000-2-200-2000011000011-2-2-2-2-2-2-2-2-2-2-2-21-2-211-211-2-21111111110000220020000-1-10000-1-1
χ6322222222222-12-1-122-12-1-1-122-1-1-1-1-1-1-100220002000-1-10000-1-100-2-2-2-2-2-2-2-2-2-2-21-211-2-21-2111-2-2111111100-2-2000-20001100001100
χ6422222222222-12-1-122-12-1-1-122-1-1-1-1-1-1-100-2-2000-20001100001100-2-2-2-2-2-2-2-2-2-2-21-211-2-21-2111-2-2111111100220002000-1-10000-1-100
χ6522222222-2-2-22-122-1-12-1-1-2-211-1-1-1111100002200-20000110000-1-1-2-2-2-2-2-2-2-2222-21-2-211-21122-1-1111-1-1-1-10000-2-20020000-1-1000011
χ6622222222-2-2-22-122-1-12-1-1-2-211-1-1-111110000-2-20020000-1-1000011-2-2-2-2-2-2-2-2222-21-2-211-21122-1-1111-1-1-1-100002200-20000110000-1-1
χ6722222222-2-2-2-12-1-122-12-111-2-2-1-1-111110022000-2000110000-1-100-2-2-2-2-2-2-2-22221-211-2-21-21-1-122111-1-1-1-100-2-20002000-1-100001100
χ6822222222-2-2-2-12-1-122-12-111-2-2-1-1-1111100-2-20002000-1-100001100-2-2-2-2-2-2-2-22221-211-2-21-21-1-122111-1-1-1-10022000-2000110000-1-100
χ6922-2-222-2-2000222-2-2-2-22200002-2-2000000002-200000000000002-2-2-222-2-222000-2-2-22222-2-20000-22200000000-220000000000000-22
χ7022-2-222-2-2000222-2-2-2-22200002-2-200000000-220000000000000-22-2-222-2-222000-2-2-22222-2-20000-222000000002-200000000000002-2
χ7122-2-222-2-20002-12-211-2-1-100i3−i3-111i3i3−i3−i300002-20000000i3−i30000-11-2-222-2-222000-21-22-1-121100−i3i31-1-1−i3−i3i3i30000-220000000−i3i300001-1
χ7222-2-222-2-20002-12-211-2-1-100i3−i3-111i3i3−i3−i30000-220000000−i3i300001-1-2-222-2-222000-21-22-1-121100−i3i31-1-1−i3−i3i3i300002-20000000i3−i30000-11
χ7322-2-222-2-20002-12-211-2-1-100−i3i3-111−i3−i3i3i300002-20000000−i3i30000-11-2-222-2-222000-21-22-1-121100i3−i31-1-1i3i3−i3−i30000-220000000i3−i300001-1
χ7422-2-222-2-20002-12-211-2-1-100−i3i3-111−i3−i3i3i30000-220000000i3−i300001-1-2-222-2-222000-21-22-1-121100i3−i31-1-1i3i3−i3−i300002-20000000−i3i30000-11
χ752-22-22-22-200022-2-22-22-220000-22-20000002-200000000000002-200-22-22-22-22000-2-222-22-22-200002-22000000-220000000000000-2200
χ762-22-22-22-200022-2-22-22-220000-22-2000000-220000000000000-2200-22-22-22-22000-2-222-22-22-200002-220000002-200000000000002-200
χ772-22-22-22-2000-12112-2-1-2-1i3−i3001-11i3−i3i3−i3002-20000000i3−i30000-1100-22-22-22-220001-2-1-1-22121−i3i300-11-1−i3i3−i3i300-220000000−i3i300001-100
χ782-22-22-22-2000-12112-2-1-2-1i3−i3001-11i3−i3i3−i300-220000000−i3i300001-100-22-22-22-220001-2-1-1-22121−i3i300-11-1−i3i3−i3i3002-20000000i3−i30000-1100
χ792-22-22-22-2000-12112-2-1-2-1−i3i3001-11−i3i3−i3i3002-20000000−i3i30000-1100-22-22-22-220001-2-1-1-22121i3−i300-11-1i3−i3i3−i300-220000000i3−i300001-100
χ802-22-22-22-2000-12112-2-1-2-1−i3i3001-11−i3i3−i3i300-220000000i3−i300001-100-22-22-22-220001-2-1-1-22121i3−i300-11-1i3−i3i3−i3002-20000000−i3i30000-1100
χ812-2-222-2-2200022-22-22-2-220000-2-2200002-200000000000002-20000-222-2-222-2000-2-22-22-222-2000022-20000-220000000000000-220000
χ822-2-222-2-2200022-22-22-2-220000-2-220000-220000000000000-220000-222-2-222-2000-2-22-22-222-2000022-200002-200000000000002-20000
χ8344444444444-2-2-2-2-2-2-2-21-2-2-2-21111111000000000000000000000-4-4-4-4-4-4-4-4-4-4-422222222-12222-1-1-1-1-1-1-1000000000000000000000
χ8444444444-4-4-4-2-2-2-2-2-2-2-212222111-1-1-1-1000000000000000000000-4-4-4-4-4-4-4-444422222222-1-2-2-2-2-1-1-11111000000000000000000000
χ8544-4-444-4-4000-24-22-4-424-20000-2220000000000000000000000000-4-444-4-4440002-42-244-2-4200002-2-20000000000000000000000000
χ8644-4-444-4-4000-2-2-22222-21002i3−2i31-1-1−i3−i3i3i3000000000000000000000-4-444-4-444000222-2-2-2-22-100−2i32i3-111i3i3−i3−i3000000000000000000000
χ8744-4-444-4-4000-2-2-22222-2100−2i32i31-1-1i3i3−i3−i3000000000000000000000-4-444-4-444000222-2-2-2-22-1002i3−2i3-111−i3−i3i3i3000000000000000000000
χ884-44-44-44-40004-2-4-4-2242-200002-220000000000000000000000000-44-44-44-44000-42442-2-4-220000-22-20000000000000000000000000
χ894-44-44-44-4000-2-222-22-2212i3−2i300-11-1−i3i3−i3i3000000000000000000000-44-44-44-4400022-2-22-22-2-1−2i32i3001-11i3−i3i3−i3000000000000000000000
χ904-44-44-44-4000-2-222-22-221−2i32i300-11-1i3−i3i3−i3000000000000000000000-44-44-44-4400022-2-22-22-2-12i3−2i3001-11−i3i3−i3i3000000000000000000000
χ914-4-444-4-440004-2-442-2-42-2000022-20000000000000000000000000-444-4-444-4000-424-4-224-220000-2-220000000000000000000000000
χ924-4-444-4-44000-242-2-442-4-2000022-20000000000000000000000000-444-4-444-40002-4-224-4-2420000-2-220000000000000000000000000
χ934-4-444-4-44000-2-22-22-22210000-1-113-3-33000000000000000000000-444-4-444-400022-22-22-2-2-1000011-1-333-3000000000000000000000
χ944-4-444-4-44000-2-22-22-22210000-1-11-333-3000000000000000000000-444-4-444-400022-22-22-2-2-1000011-13-3-33000000000000000000000
χ956666-3-3-3-36-3-300000000000000000000220000200-1-10000-1-10000-6-6-6-63333-63300000000000000000000-2-20000-200110000110000
χ966666-3-3-3-36-3-300000000000000000000-2-20000-200110000110000-6-6-6-63333-63300000000000000000000220000200-1-10000-1-10000
χ976666-3-3-3-3-63300000000000000000000220000-200110000-1-10000-6-6-6-633336-3-300000000000000000000-2-20000200-1-10000110000
χ986666-3-3-3-3-63300000000000000000000-2-20000200-1-10000110000-6-6-6-633336-3-300000000000000000000220000-200110000-1-10000
χ996-6-66-333-303i3−3i3000000000000000000002-20000000i3−i30000-110000-666-63-3-330−3i33i300000000000000000000-220000000−i3i300001-10000
χ1006-6-66-333-303i3−3i300000000000000000000-220000000−i3i300001-10000-666-63-3-330−3i33i3000000000000000000002-20000000i3−i30000-110000
χ1016-6-66-333-30−3i33i3000000000000000000002-20000000−i3i30000-110000-666-63-3-3303i3−3i300000000000000000000-220000000i3−i300001-10000
χ1026-6-66-333-30−3i33i300000000000000000000-220000000i3−i300001-10000-666-63-3-3303i3−3i3000000000000000000002-20000000−i3i30000-110000
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).