Finite Group Databasebeta

← Group #13150837

Character table — Group #13150837

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222444666666661212121212121212121212121818181818183636363636363636363636363636361111222244466666666121212121212121212121212181818181818363636363636363636363636363636
order12223666412123366666636661212121212121212444444224666612121212121212122222666641212666666666666121212121212121244444422466661212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11-1-111-1-111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-11-1-111-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111-1-1-11-1-1-111-1-111-1-1-1-11111111111111111111111111111111-1-111-1-1-11-1-1-111-1-111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111
χ511111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1
χ611111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-111
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
χ811111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-111-1-1
χ9222222222222-122-1-1-12-1-1-1-1-1-122-1-1-1-100220002000-1-100-1-10000222222222222-122-1-1-12-1-1-1-1-1-122-1-1-1-100220002000-1-100-1-10000
χ10222222222222-122-1-1-12-1-1-1-1-1-122-1-1-1-100-2-2000-20001100110000222222222222-122-1-1-12-1-1-1-1-1-122-1-1-1-100-2-2000-20001100110000
χ1122222222222-12-1-1222-1-1-1-1-122-1-1-1-1-1-100002200200000000-1-1-1-122222222222-12-1-1222-1-1-1-1-122-1-1-1-1-1-100002200200000000-1-1-1-1
χ1222222222222-12-1-1222-1-1-1-1-122-1-1-1-1-1-10000-2-200-200000000111122222222222-12-1-1222-1-1-1-1-122-1-1-1-1-1-10000-2-200-2000000001111
χ1322222222-2-2-22-122-1-1-12-1-1-1-111-2-211110022000-20001100-1-1000022222222-2-2-22-122-1-1-12-1-1-1-111-2-211110022000-20001100-1-10000
χ1422222222-2-2-22-122-1-1-12-1-1-1-111-2-2111100-2-20002000-1-10011000022222222-2-2-22-122-1-1-12-1-1-1-111-2-2111100-2-20002000-1-100110000
χ1522222222-2-2-2-12-1-1222-1-1-1-1-1-2-211111100002200-200000000-1-11122222222-2-2-2-12-1-1222-1-1-1-1-1-2-211111100002200-200000000-1-111
χ1622222222-2-2-2-12-1-1222-1-1-1-1-1-2-21111110000-2-20020000000011-1-122222222-2-2-2-12-1-1222-1-1-1-1-1-2-21111110000-2-20020000000011-1-1
χ1722-2-222-2-2000222-2-2-22-222-2-2000000002i−2i000000000002i−2i00000022-2-222-2-2000222-2-2-22-222-2-2000000002i−2i000000000002i−2i000000
χ1822-2-222-2-2000222-2-2-22-222-2-200000000−2i2i00000000000−2i2i00000022-2-222-2-2000222-2-2-22-222-2-200000000−2i2i00000000000−2i2i000000
χ192-22-22-2-2200022-222-2-2-22-22-200000000002i−2i000000000002i−2i00002-22-22-2-2200022-222-2-2-22-22-200000000002i−2i000000000002i−2i0000
χ202-22-22-2-2200022-222-2-2-22-22-20000000000−2i2i00000000000−2i2i00002-22-22-2-2200022-222-2-2-22-22-20000000000−2i2i00000000000−2i2i0000
χ212-22-22-2-220002-1-22-111-2-11-113−30033−3−3002i−2i0000000−i3i300−ii00002-22-22-2-220002-1-22-111-2-11-113−30033−3−3002i−2i0000000−i3i300−ii0000
χ222-22-22-2-220002-1-22-111-2-11-113−30033−3−300−2i2i0000000i3−i300i−i00002-22-22-2-220002-1-22-111-2-11-113−30033−3−300−2i2i0000000i3−i300i−i0000
χ232-22-22-2-220002-1-22-111-2-11-11−3300−3−333002i−2i0000000i3−i300−ii00002-22-22-2-220002-1-22-111-2-11-11−3300−3−333002i−2i0000000i3−i300−ii0000
χ242-22-22-2-220002-1-22-111-2-11-11−3300−3−33300−2i2i0000000−i3i300i−i00002-22-22-2-220002-1-22-111-2-11-11−3300−3−33300−2i2i0000000−i3i300i−i0000
χ252-2-222-22-200022-2-2-22-222-2-220000000000002-2000000000002-2002-2-222-22-200022-2-2-22-222-2-220000000000002-2000000000002-200
χ262-2-222-22-200022-2-2-22-222-2-22000000000000-2200000000000-22002-2-222-22-200022-2-2-22-222-2-22000000000000-2200000000000-2200
χ272-2-222-22-2000-1211-22-2-1-111-100−i3i3−i3i3−i3i300002-200000000000-11−i3i32-2-222-22-2000-1211-22-2-1-111-100−i3i3−i3i3−i3i300002-200000000000-11−i3i3
χ282-2-222-22-2000-1211-22-2-1-111-100−i3i3−i3i3−i3i30000-22000000000001-1i3−i32-2-222-22-2000-1211-22-2-1-111-100−i3i3−i3i3−i3i30000-22000000000001-1i3−i3
χ292-2-222-22-2000-1211-22-2-1-111-100i3−i3i3−i3i3−i300002-200000000000-11i3−i32-2-222-22-2000-1211-22-2-1-111-100i3−i3i3−i3i3−i300002-200000000000-11i3−i3
χ302-2-222-22-2000-1211-22-2-1-111-100i3−i3i3−i3i3−i30000-22000000000001-1−i3i32-2-222-22-2000-1211-22-2-1-111-100i3−i3i3−i3i3−i30000-22000000000001-1−i3i3
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
χ3344-4-444-4-40004-24-422-2-4-2-2220000000000000000000000000000044-4-444-4-40004-24-422-2-4-2-22200000000000000000000000000000
χ3444-4-444-4-4000-24-22-4-442-2-2220000000000000000000000000000044-4-444-4-4000-24-22-4-442-2-22200000000000000000000000000000
χ3544-4-444-4-4000-2-2-2222-2211-1-100003i−3i−3i3i00000000000000000000044-4-444-4-4000-2-2-2222-2211-1-100003i−3i−3i3i000000000000000000000
χ3644-4-444-4-4000-2-2-2222-2211-1-10000−3i3i3i−3i00000000000000000000044-4-444-4-4000-2-2-2222-2211-1-10000−3i3i3i−3i000000000000000000000
χ374-44-44-4-44000-242-24-4-42-22-22000000000000000000000000000004-44-44-4-44000-242-24-4-42-22-2200000000000000000000000000000
χ384-44-44-4-44000-2-22-2-22221-11-123−2300−3−3330000000000000000000004-44-44-4-44000-2-22-2-22221-11-123−2300−3−333000000000000000000000
χ394-44-44-4-44000-2-22-2-22221-11-1−23230033−3−30000000000000000000004-44-44-4-44000-2-22-2-22221-11-1−23230033−3−3000000000000000000000
χ404-4-444-44-40004-2-4-42-224-222-2000000000000000000000000000004-4-444-44-40004-2-4-42-224-222-200000000000000000000000000000
χ414-4-444-44-4000-2-2222-22-21-1-1100−2i32i3i3−i3i3−i30000000000000000000004-4-444-44-4000-2-2222-22-21-1-1100−2i32i3i3−i3i3−i3000000000000000000000
χ424-4-444-44-4000-2-2222-22-21-1-11002i3−2i3−i3i3−i3i30000000000000000000004-4-444-44-4000-2-2222-22-21-1-11002i3−2i3−i3i3−i3i3000000000000000000000
χ436666-3-3-3-36-3-300000000000000000000220000200-1-100-1-10000006666-3-3-3-36-3-300000000000000000000220000200-1-100-1-1000000
χ446666-3-3-3-36-3-300000000000000000000-2-20000-2001100110000006666-3-3-3-36-3-300000000000000000000-2-20000-200110011000000
χ456666-3-3-3-3-63300000000000000000000220000-2001100-1-10000006666-3-3-3-3-63300000000000000000000220000-2001100-1-1000000
χ466666-3-3-3-3-63300000000000000000000-2-20000200-1-100110000006666-3-3-3-3-63300000000000000000000-2-20000200-1-10011000000
χ4766-6-6-3-333033−33000000000000000000002i−2i0000000−i3i300−ii00000066-6-6-3-333033−33000000000000000000002i−2i0000000−i3i300−ii000000
χ4866-6-6-3-333033−3300000000000000000000−2i2i0000000i3−i300i−i00000066-6-6-3-333033−3300000000000000000000−2i2i0000000i3−i300i−i000000
χ4966-6-6-3-3330−3333000000000000000000002i−2i0000000i3−i300−ii00000066-6-6-3-3330−3333000000000000000000002i−2i0000000i3−i300−ii000000
χ5066-6-6-3-3330−333300000000000000000000−2i2i0000000−i3i300i−i00000066-6-6-3-3330−333300000000000000000000−2i2i0000000−i3i300i−i000000
χ5112-1212-12-666-60000000000000000000000000000000000000000000012-1212-12-666-600000000000000000000000000000000000000000000
χ5212-12-1212-66-660000000000000000000000000000000000000000000012-12-1212-66-6600000000000000000000000000000000000000000000
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
χ54111111111111111111111111111111111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1111111
χ551111111111111111111111111111111-1-111-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1111-1-111-1-11111
χ561111111111111111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111111111-1-1-1-1
χ5711111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111-1-1-1-1-1-111
χ5811111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-111-1-1-1-11111-1-1
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
χ6011111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1-1-11111-1-111
χ61222222222222-122-1-1-12-1-1-1-1-1-122-1-1-1-100220002000-1-100-1-10000-2-2-2-2-2-2-2-2-2-2-2-21-2-2111-2111111-2-2111100-2-2000-20001100110000
χ62222222222222-122-1-1-12-1-1-1-1-1-122-1-1-1-100-2-2000-20001100110000-2-2-2-2-2-2-2-2-2-2-2-21-2-2111-2111111-2-2111100220002000-1-100-1-10000
χ6322222222222-12-1-1222-1-1-1-1-122-1-1-1-1-1-100002200200000000-1-1-1-1-2-2-2-2-2-2-2-2-2-2-21-211-2-2-211111-2-21111110000-2-200-2000000001111
χ6422222222222-12-1-1222-1-1-1-1-122-1-1-1-1-1-10000-2-200-2000000001111-2-2-2-2-2-2-2-2-2-2-21-211-2-2-211111-2-211111100002200200000000-1-1-1-1
χ6522222222-2-2-22-122-1-1-12-1-1-1-111-2-211110022000-20001100-1-10000-2-2-2-2-2-2-2-2222-21-2-2111-21111-1-122-1-1-1-100-2-20002000-1-100110000
χ6622222222-2-2-22-122-1-1-12-1-1-1-111-2-2111100-2-20002000-1-100110000-2-2-2-2-2-2-2-2222-21-2-2111-21111-1-122-1-1-1-10022000-20001100-1-10000
χ6722222222-2-2-2-12-1-1222-1-1-1-1-1-2-211111100002200-200000000-1-111-2-2-2-2-2-2-2-22221-211-2-2-21111122-1-1-1-1-1-10000-2-20020000000011-1-1
χ6822222222-2-2-2-12-1-1222-1-1-1-1-1-2-21111110000-2-20020000000011-1-1-2-2-2-2-2-2-2-22221-211-2-2-21111122-1-1-1-1-1-100002200-200000000-1-111
χ6922-2-222-2-2000222-2-2-22-222-2-2000000002i−2i000000000002i−2i000000-2-222-2-222000-2-2-2222-22-2-22200000000−2i2i00000000000−2i2i000000
χ7022-2-222-2-2000222-2-2-22-222-2-200000000−2i2i00000000000−2i2i000000-2-222-2-222000-2-2-2222-22-2-222000000002i−2i000000000002i−2i000000
χ712-22-22-2-2200022-222-2-2-22-22-200000000002i−2i000000000002i−2i0000-22-22-222-2000-2-22-2-2222-22-220000000000−2i2i00000000000−2i2i0000
χ722-22-22-2-2200022-222-2-2-22-22-20000000000−2i2i00000000000−2i2i0000-22-22-222-2000-2-22-2-2222-22-2200000000002i−2i000000000002i−2i0000
χ732-22-22-2-220002-1-22-111-2-11-113−30033−3−3002i−2i0000000−i3i300−ii0000-22-22-222-2000-212-21-1-121-11-1−3300−3−33300−2i2i0000000i3−i300i−i0000
χ742-22-22-2-220002-1-22-111-2-11-113−30033−3−300−2i2i0000000i3−i300i−i0000-22-22-222-2000-212-21-1-121-11-1−3300−3−333002i−2i0000000−i3i300−ii0000
χ752-22-22-2-220002-1-22-111-2-11-11−3300−3−333002i−2i0000000i3−i300−ii0000-22-22-222-2000-212-21-1-121-11-13−30033−3−300−2i2i0000000−i3i300i−i0000
χ762-22-22-2-220002-1-22-111-2-11-11−3300−3−33300−2i2i0000000−i3i300i−i0000-22-22-222-2000-212-21-1-121-11-13−30033−3−3002i−2i0000000i3−i300−ii0000
χ772-2-222-22-200022-2-2-22-222-2-220000000000002-2000000000002-200-222-2-22-22000-2-2222-22-2-222-2000000000000-2200000000000-2200
χ782-2-222-22-200022-2-2-22-222-2-22000000000000-2200000000000-2200-222-2-22-22000-2-2222-22-2-222-20000000000002-2000000000002-200
χ792-2-222-22-2000-1211-22-2-1-111-100−i3i3−i3i3−i3i300002-200000000000-11−i3i3-222-2-22-220001-2-1-12-2211-1-1100i3−i3i3−i3i3−i30000-22000000000001-1i3−i3
χ802-2-222-22-2000-1211-22-2-1-111-100−i3i3−i3i3−i3i30000-22000000000001-1i3−i3-222-2-22-220001-2-1-12-2211-1-1100i3−i3i3−i3i3−i300002-200000000000-11−i3i3
χ812-2-222-22-2000-1211-22-2-1-111-100i3−i3i3−i3i3−i300002-200000000000-11i3−i3-222-2-22-220001-2-1-12-2211-1-1100−i3i3−i3i3−i3i30000-22000000000001-1−i3i3
χ822-2-222-22-2000-1211-22-2-1-111-100i3−i3i3−i3i3−i30000-22000000000001-1−i3i3-222-2-22-220001-2-1-12-2211-1-1100−i3i3−i3i3−i3i300002-200000000000-11i3−i3
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
χ8544-4-444-4-40004-24-422-2-4-2-22200000000000000000000000000000-4-444-4-444000-42-44-2-22422-2-200000000000000000000000000000
χ8644-4-444-4-4000-24-22-4-442-2-22200000000000000000000000000000-4-444-4-4440002-42-244-4-222-2-200000000000000000000000000000
χ8744-4-444-4-4000-2-2-2222-2211-1-100003i−3i−3i3i000000000000000000000-4-444-4-444000222-2-2-22-2-1-1110000−3i3i3i−3i000000000000000000000
χ8844-4-444-4-4000-2-2-2222-2211-1-10000−3i3i3i−3i000000000000000000000-4-444-4-444000222-2-2-22-2-1-11100003i−3i−3i3i000000000000000000000
χ894-44-44-4-44000-242-24-4-42-22-2200000000000000000000000000000-44-44-444-40002-4-22-444-22-22-200000000000000000000000000000
χ904-44-44-4-44000-2-22-2-22221-11-123−2300−3−333000000000000000000000-44-44-444-400022-222-2-2-2-11-11−23230033−3−3000000000000000000000
χ914-44-44-4-44000-2-22-2-22221-11-1−23230033−3−3000000000000000000000-44-44-444-400022-222-2-2-2-11-1123−2300−3−333000000000000000000000
χ924-4-444-44-40004-2-4-42-224-222-200000000000000000000000000000-444-4-44-44000-4244-22-2-42-2-2200000000000000000000000000000
χ934-4-444-44-4000-2-2222-22-21-1-1100−2i32i3i3−i3i3−i3000000000000000000000-444-4-44-4400022-2-2-22-22-111-1002i3−2i3−i3i3−i3i3000000000000000000000
χ944-4-444-44-4000-2-2222-22-21-1-11002i3−2i3−i3i3−i3i3000000000000000000000-444-4-44-4400022-2-2-22-22-111-100−2i32i3i3−i3i3−i3000000000000000000000
χ956666-3-3-3-36-3-300000000000000000000220000200-1-100-1-1000000-6-6-6-63333-63300000000000000000000-2-20000-200110011000000
χ966666-3-3-3-36-3-300000000000000000000-2-20000-200110011000000-6-6-6-63333-63300000000000000000000220000200-1-100-1-1000000
χ976666-3-3-3-3-63300000000000000000000220000-2001100-1-1000000-6-6-6-633336-3-300000000000000000000-2-20000200-1-10011000000
χ986666-3-3-3-3-63300000000000000000000-2-20000200-1-10011000000-6-6-6-633336-3-300000000000000000000220000-2001100-1-1000000
χ9966-6-6-3-333033−33000000000000000000002i−2i0000000−i3i300−ii000000-6-66633-3-30−333300000000000000000000−2i2i0000000i3−i300i−i000000
χ10066-6-6-3-333033−3300000000000000000000−2i2i0000000i3−i300i−i000000-6-66633-3-30−3333000000000000000000002i−2i0000000−i3i300−ii000000
χ10166-6-6-3-3330−3333000000000000000000002i−2i0000000i3−i300−ii000000-6-66633-3-3033−3300000000000000000000−2i2i0000000−i3i300i−i000000
χ10266-6-6-3-3330−333300000000000000000000−2i2i0000000−i3i300i−i000000-6-66633-3-3033−33000000000000000000002i−2i0000000i3−i300−ii000000
χ10312-1212-12-666-600000000000000000000000000000000000000000000-1212-12126-6-6600000000000000000000000000000000000000000000
χ10412-12-1212-66-6600000000000000000000000000000000000000000000-121212-126-66-600000000000000000000000000000000000000000000

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