Finite Group Databasebeta

← Group #13150872

Character table — Group #13150872

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222444666666661212121212121212121212121818181818183636363636363636363636363636361111222244466666666121212121212121212121212181818181818363636363636363636363636363636
order122236664121233666666366612121212121212122222222446666666612121212222266664121266666666666612121212121212122222222446666666612121212
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
χ31111111111111111111111111111111-1-111-1-1-11-111-1-1-1-1-1-111-1-11111111111111111111111111111111-1-111-1-1-11-111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111-1-1-1-111-1-11-1-111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-111-1-11-1-111-1-1-1-1-1-111
χ511111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1
χ611111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111-1-11111
χ711111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-1-1-111-1-11111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-1-1-111-1-111
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
χ9222222222222-12-1-12-12-1-1-1-122-1-1-1-1-1-12200002000000-1-1-1-10000222222222222-12-1-12-12-1-1-1-122-1-1-1-1-1-12200002000000-1-1-1-10000
χ10222222222222-12-1-12-12-1-1-1-122-1-1-1-1-1-1-2-20000-200000011110000222222222222-12-1-12-12-1-1-1-122-1-1-1-1-1-1-2-20000-200000011110000
χ1122222222222-12-122-12-1-1-1-1-1-1-122-1-1-1-100002200200-1-1000000-1-122222222222-12-122-12-1-1-1-1-1-1-122-1-1-1-100002200200-1-1000000-1-1
χ1222222222222-12-122-12-1-1-1-1-1-1-122-1-1-1-10000-2-200-200110000001122222222222-12-122-12-1-1-1-1-1-1-122-1-1-1-10000-2-200-2001100000011
χ1322222222-2-2-22-12-1-12-12-1-1-1-1-2-2111111220000-2000000-1-111000022222222-2-2-22-12-1-12-12-1-1-1-1-2-2111111220000-2000000-1-1110000
χ1422222222-2-2-22-12-1-12-12-1-1-1-1-2-2111111-2-20000200000011-1-1000022222222-2-2-22-12-1-12-12-1-1-1-1-2-2111111-2-20000200000011-1-10000
χ1522222222-2-2-2-12-122-12-1-1-1-1-111-2-2111100002200-200-1-10000001122222222-2-2-2-12-122-12-1-1-1-1-111-2-2111100002200-200-1-100000011
χ1622222222-2-2-2-12-122-12-1-1-1-1-111-2-211110000-2-20020011000000-1-122222222-2-2-2-12-122-12-1-1-1-1-111-2-211110000-2-20020011000000-1-1
χ1722-2-22-22-200022-2-2-222-22-2-22000000002-2000000000002-200000022-2-22-22-200022-2-2-222-22-2-22000000002-2000000000002-2000000
χ1822-2-22-22-200022-2-2-222-22-2-2200000000-2200000000000-2200000022-2-22-22-200022-2-2-222-22-2-2200000000-2200000000000-22000000
χ1922-2-22-22-20002-1-2112-1-2-111-100−i3i3−i3−i3i3i32-200000000000-11−i3i3000022-2-22-22-20002-1-2112-1-2-111-100−i3i3−i3−i3i3i32-200000000000-11−i3i30000
χ2022-2-22-22-20002-1-2112-1-2-111-100−i3i3−i3−i3i3i3-22000000000001-1i3−i3000022-2-22-22-20002-1-2112-1-2-111-100−i3i3−i3−i3i3i3-22000000000001-1i3−i30000
χ2122-2-22-22-20002-1-2112-1-2-111-100i3−i3i3i3−i3−i32-200000000000-11i3−i3000022-2-22-22-20002-1-2112-1-2-111-100i3−i3i3i3−i3−i32-200000000000-11i3−i30000
χ2222-2-22-22-20002-1-2112-1-2-111-100i3−i3i3i3−i3−i3-22000000000001-1−i3i3000022-2-22-22-20002-1-2112-1-2-111-100i3−i3i3i3−i3−i3-22000000000001-1−i3i30000
χ232-22-222-2-200022-22-2-2-2222-2-200000000002-2000002-200000000002-22-222-2-200022-22-2-2-2222-2-200000000002-2000002-20000000000
χ242-22-222-2-200022-22-2-2-2222-2-20000000000-2200000-2200000000002-22-222-2-200022-22-2-2-2222-2-20000000000-2200000-220000000000
χ252-2-222-2-22000222-22-2-2-22-22-20000000000002-2000002-2000000002-2-222-2-22000222-22-2-2-22-22-20000000000002-2000002-200000000
χ262-2-222-2-22000222-22-2-2-22-22-2000000000000-2200000-22000000002-2-222-2-22000222-22-2-2-22-22-2000000000000-2200000-2200000000
χ272-2-222-2-22000-12-1-221-21-11-113−3003−33−300002-200000-110000003−32-2-222-2-22000-12-1-221-21-11-113−3003−33−300002-200000-110000003−3
χ282-2-222-2-22000-12-1-221-21-11-113−3003−33−30000-22000001-1000000−332-2-222-2-22000-12-1-221-21-11-113−3003−33−30000-22000001-1000000−33
χ292-2-222-2-22000-12-1-221-21-11-11−3300−33−3300002-200000-11000000−332-2-222-2-22000-12-1-221-21-11-11−3300−33−3300002-200000-11000000−33
χ302-2-222-2-22000-12-1-221-21-11-11−3300−33−330000-22000001-10000003−32-2-222-2-22000-12-1-221-21-11-11−3300−33−330000-22000001-10000003−3
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
χ3344-4-44-44-4000-242-4-4-242-222-20000000000000000000000000000044-4-44-44-4000-242-4-4-242-222-200000000000000000000000000000
χ3444-4-44-44-4000-2-2222-2-221-1-1100−2i32i3i3i3−i3−i300000000000000000000044-4-44-44-4000-2-2222-2-221-1-1100−2i32i3i3i3−i3−i3000000000000000000000
χ3544-4-44-44-4000-2-2222-2-221-1-11002i3−2i3−i3−i3i3i300000000000000000000044-4-44-44-4000-2-2222-2-221-1-11002i3−2i3−i3−i3i3i3000000000000000000000
χ364-44-444-4-40004-2-4-22-424-2-222000000000000000000000000000004-44-444-4-40004-2-4-22-424-2-22200000000000000000000000000000
χ374-44-444-4-4000-2424-42-4-2-2-222000000000000000000000000000004-44-444-4-4000-2424-42-4-2-2-22200000000000000000000000000000
χ384-44-444-4-4000-2-22-2222-211-1-100003i−3i−3i3i0000000000000000000004-44-444-4-4000-2-22-2222-211-1-100003i−3i−3i3i000000000000000000000
χ394-44-444-4-4000-2-22-2222-211-1-10000−3i3i3i−3i0000000000000000000004-44-444-4-4000-2-22-2222-211-1-10000−3i3i3i−3i000000000000000000000
χ404-4-444-4-440004-242-2-42-4-22-22000000000000000000000000000004-4-444-4-440004-242-2-42-4-22-2200000000000000000000000000000
χ414-4-444-4-44000-2-2-22-22221-11-123−2300−33−330000000000000000000004-4-444-4-44000-2-2-22-22221-11-123−2300−33−33000000000000000000000
χ424-4-444-4-44000-2-2-22-22221-11-1−2323003−33−30000000000000000000004-4-444-4-44000-2-2-22-22221-11-1−2323003−33−3000000000000000000000
χ436666-3-3-3-36-3-300000000000000000000002200020-1-1000000-1-1006666-3-3-3-36-3-300000000000000000000002200020-1-1000000-1-100
χ446666-3-3-3-36-3-30000000000000000000000-2-2000-201100000011006666-3-3-3-36-3-30000000000000000000000-2-2000-20110000001100
χ456666-3-3-3-3-633000000000000000000000022000-20-1-100000011006666-3-3-3-3-633000000000000000000000022000-20-1-10000001100
χ466666-3-3-3-3-6330000000000000000000000-2-20002011000000-1-1006666-3-3-3-3-6330000000000000000000000-2-20002011000000-1-100
χ476-66-6-3-333033−3300000000000000000000002-200000-110000003−3006-66-6-3-333033−3300000000000000000000002-200000-110000003−300
χ486-66-6-3-333033−330000000000000000000000-22000001-1000000−33006-66-6-3-333033−330000000000000000000000-22000001-1000000−3300
χ496-66-6-3-3330−333300000000000000000000002-200000-11000000−33006-66-6-3-3330−333300000000000000000000002-200000-11000000−3300
χ506-66-6-3-3330−33330000000000000000000000-22000001-10000003−3006-66-6-3-3330−33330000000000000000000000-22000001-10000003−300
χ511212-12-12-66-66000000000000000000000000000000000000000000001212-12-12-66-6600000000000000000000000000000000000000000000
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
χ54111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-11111
χ551111111111111111111111111111111-1-111-1-1-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1111111-1-111
χ561111111111111111111111111111111-1-1-1-111-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1111111-1-1
χ5711111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-1111111
χ5811111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-11111-1-111-1-1-1-1
χ5911111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-11-1-1-11111-1-111-1-1
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
χ61222222222222-12-1-12-12-1-1-1-122-1-1-1-1-1-12200002000000-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-2-21-211-21-21111-2-2111111-2-20000-200000011110000
χ62222222222222-12-1-12-12-1-1-1-122-1-1-1-1-1-1-2-20000-200000011110000-2-2-2-2-2-2-2-2-2-2-2-21-211-21-21111-2-21111112200002000000-1-1-1-10000
χ6322222222222-12-122-12-1-1-1-1-1-1-122-1-1-1-100002200200-1-1000000-1-1-2-2-2-2-2-2-2-2-2-2-21-21-2-21-21111111-2-211110000-2-200-2001100000011
χ6422222222222-12-122-12-1-1-1-1-1-1-122-1-1-1-10000-2-200-2001100000011-2-2-2-2-2-2-2-2-2-2-21-21-2-21-21111111-2-2111100002200200-1-1000000-1-1
χ6522222222-2-2-22-12-1-12-12-1-1-1-1-2-2111111220000-2000000-1-1110000-2-2-2-2-2-2-2-2222-21-211-21-2111122-1-1-1-1-1-1-2-20000200000011-1-10000
χ6622222222-2-2-22-12-1-12-12-1-1-1-1-2-2111111-2-20000200000011-1-10000-2-2-2-2-2-2-2-2222-21-211-21-2111122-1-1-1-1-1-1220000-2000000-1-1110000
χ6722222222-2-2-2-12-122-12-1-1-1-1-111-2-2111100002200-200-1-100000011-2-2-2-2-2-2-2-22221-21-2-21-211111-1-122-1-1-1-10000-2-20020011000000-1-1
χ6822222222-2-2-2-12-122-12-1-1-1-1-111-2-211110000-2-20020011000000-1-1-2-2-2-2-2-2-2-22221-21-2-21-211111-1-122-1-1-1-100002200-200-1-100000011
χ6922-2-22-22-200022-2-2-222-22-2-22000000002-2000000000002-2000000-2-222-22-22000-2-2222-2-22-222-200000000-2200000000000-22000000
χ7022-2-22-22-200022-2-2-222-22-2-2200000000-2200000000000-22000000-2-222-22-22000-2-2222-2-22-222-2000000002-2000000000002-2000000
χ7122-2-22-22-20002-1-2112-1-2-111-100−i3i3−i3−i3i3i32-200000000000-11−i3i30000-2-222-22-22000-212-1-1-2121-1-1100i3−i3i3i3−i3−i3-22000000000001-1i3−i30000
χ7222-2-22-22-20002-1-2112-1-2-111-100−i3i3−i3−i3i3i3-22000000000001-1i3−i30000-2-222-22-22000-212-1-1-2121-1-1100i3−i3i3i3−i3−i32-200000000000-11−i3i30000
χ7322-2-22-22-20002-1-2112-1-2-111-100i3−i3i3i3−i3−i32-200000000000-11i3−i30000-2-222-22-22000-212-1-1-2121-1-1100−i3i3−i3−i3i3i3-22000000000001-1−i3i30000
χ7422-2-22-22-20002-1-2112-1-2-111-100i3−i3i3i3−i3−i3-22000000000001-1−i3i30000-2-222-22-22000-212-1-1-2121-1-1100−i3i3−i3−i3i3i32-200000000000-11i3−i30000
χ752-22-222-2-200022-22-2-2-2222-2-200000000002-2000002-20000000000-22-22-2-222000-2-22-2222-2-2-2220000000000-2200000-220000000000
χ762-22-222-2-200022-22-2-2-2222-2-20000000000-2200000-220000000000-22-22-2-222000-2-22-2222-2-2-22200000000002-2000002-20000000000
χ772-2-222-2-22000222-22-2-2-22-22-20000000000002-2000002-200000000-222-2-222-2000-2-2-22-2222-22-22000000000000-2200000-2200000000
χ782-2-222-2-22000222-22-2-2-22-22-2000000000000-2200000-2200000000-222-2-222-2000-2-2-22-2222-22-220000000000002-2000002-200000000
χ792-2-222-2-22000-12-1-221-21-11-113−3003−33−300002-200000-110000003−3-222-2-222-20001-212-2-12-11-11-1−3300−33−330000-22000001-1000000−33
χ802-2-222-2-22000-12-1-221-21-11-113−3003−33−30000-22000001-1000000−33-222-2-222-20001-212-2-12-11-11-1−3300−33−3300002-200000-110000003−3
χ812-2-222-2-22000-12-1-221-21-11-11−3300−33−3300002-200000-11000000−33-222-2-222-20001-212-2-12-11-11-13−3003−33−30000-22000001-10000003−3
χ822-2-222-2-22000-12-1-221-21-11-11−3300−33−330000-22000001-10000003−3-222-2-222-20001-212-2-12-11-11-13−3003−33−300002-200000-11000000−33
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
χ8544-4-44-44-4000-242-4-4-242-222-200000000000000000000000000000-4-444-44-440002-4-2442-4-22-2-2200000000000000000000000000000
χ8644-4-44-44-4000-2-2222-2-221-1-1100−2i32i3i3i3−i3−i3000000000000000000000-4-444-44-4400022-2-2-222-2-111-1002i3−2i3−i3−i3i3i3000000000000000000000
χ8744-4-44-44-4000-2-2222-2-221-1-11002i3−2i3−i3−i3i3i3000000000000000000000-4-444-44-4400022-2-2-222-2-111-100−2i32i3i3i3−i3−i3000000000000000000000
χ884-44-444-4-40004-2-4-22-424-2-22200000000000000000000000000000-44-44-4-444000-4242-24-2-422-2-200000000000000000000000000000
χ894-44-444-4-4000-2424-42-4-2-2-22200000000000000000000000000000-44-44-4-4440002-4-2-44-24222-2-200000000000000000000000000000
χ904-44-444-4-4000-2-22-2222-211-1-100003i−3i−3i3i000000000000000000000-44-44-4-44400022-22-2-2-22-1-1110000−3i3i3i−3i000000000000000000000
χ914-44-444-4-4000-2-22-2222-211-1-10000−3i3i3i−3i000000000000000000000-44-44-4-44400022-22-2-2-22-1-11100003i−3i−3i3i000000000000000000000
χ924-4-444-4-440004-242-2-42-4-22-2200000000000000000000000000000-444-4-444-4000-42-4-224-242-22-200000000000000000000000000000
χ934-4-444-4-44000-2-2-22-22221-11-123−2300−33−33000000000000000000000-444-4-444-4000222-22-2-2-2-11-11−2323003−33−3000000000000000000000
χ944-4-444-4-44000-2-2-22-22221-11-1−2323003−33−3000000000000000000000-444-4-444-4000222-22-2-2-2-11-1123−2300−33−33000000000000000000000
χ956666-3-3-3-36-3-300000000000000000000002200020-1-1000000-1-100-6-6-6-63333-6330000000000000000000000-2-2000-20110000001100
χ966666-3-3-3-36-3-30000000000000000000000-2-2000-20110000001100-6-6-6-63333-63300000000000000000000002200020-1-1000000-1-100
χ976666-3-3-3-3-633000000000000000000000022000-20-1-10000001100-6-6-6-633336-3-30000000000000000000000-2-20002011000000-1-100
χ986666-3-3-3-3-6330000000000000000000000-2-20002011000000-1-100-6-6-6-633336-3-3000000000000000000000022000-20-1-10000001100
χ996-66-6-3-333033−3300000000000000000000002-200000-110000003−300-66-6633-3-30−33330000000000000000000000-22000001-1000000−3300
χ1006-66-6-3-333033−330000000000000000000000-22000001-1000000−3300-66-6633-3-30−333300000000000000000000002-200000-110000003−300
χ1016-66-6-3-3330−333300000000000000000000002-200000-11000000−3300-66-6633-3-3033−330000000000000000000000-22000001-10000003−300
χ1026-66-6-3-3330−33330000000000000000000000-22000001-10000003−300-66-6633-3-3033−3300000000000000000000002-200000-11000000−3300
χ1031212-12-12-66-6600000000000000000000000000000000000000000000-12-1212126-66-600000000000000000000000000000000000000000000
χ10412-12-1212-666-600000000000000000000000000000000000000000000-121212-126-6-6600000000000000000000000000000000000000000000

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