Finite Group Databasebeta

← Group #13150677

Character table — Group #13150677

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222444666666661212121212121212121212121818181818183636363636363636363636363636361111222244466666666121212121212121212121212181818181818363636363636363636363636363636
order12223666412123366666636661212121212121212224444244666612121212121212122222666641212666666666666121212121212121222444424466661212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111-1-1-11-1-1-1-1-11111-1-1-1-11111111111111111111111111111111-1-111-1-1-11-1-1-1-1-11111-1-1-1-1
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
χ511111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-111-1-11111111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-111-1-111
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
χ711111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1-111-1-11111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1-111-1-11111-1-1
χ811111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-111
χ9222222222222-12-1-1-122-1-1-1-1-1-122-1-1-1-1220000200-1-1-1-100000000222222222222-12-1-1-122-1-1-1-1-1-122-1-1-1-1220000200-1-1-1-100000000
χ10222222222222-12-1-1-122-1-1-1-1-1-122-1-1-1-1-2-20000-200111100000000222222222222-12-1-1-122-1-1-1-1-1-122-1-1-1-1-2-20000-200111100000000
χ1122222222222-12-1222-1-1-1-1-1-122-1-1-1-1-1-100002200200000000-1-1-1-122222222222-12-1222-1-1-1-1-1-122-1-1-1-1-1-100002200200000000-1-1-1-1
χ1222222222222-12-1222-1-1-1-1-1-122-1-1-1-1-1-10000-2-200-200000000111122222222222-12-1222-1-1-1-1-1-122-1-1-1-1-1-10000-2-200-2000000001111
χ1322222222-2-2-22-12-1-1-122-1-1-1-111-2-21111220000-200-1-1110000000022222222-2-2-22-12-1-1-122-1-1-1-111-2-21111220000-200-1-11100000000
χ1422222222-2-2-22-12-1-1-122-1-1-1-111-2-21111-2-2000020011-1-10000000022222222-2-2-22-12-1-1-122-1-1-1-111-2-21111-2-2000020011-1-100000000
χ1522222222-2-2-2-12-1222-1-1-1-1-1-1-2-211111100002200-20000000011-1-122222222-2-2-2-12-1222-1-1-1-1-1-1-2-211111100002200-20000000011-1-1
χ1622222222-2-2-2-12-1222-1-1-1-1-1-1-2-21111110000-2-200200000000-1-11122222222-2-2-2-12-1222-1-1-1-1-1-1-2-21111110000-2-200200000000-1-111
χ1722-2-222-2-200022-22-2-22-222-2-20000000000002i−2i00000000000002i−2i22-2-222-2-200022-22-2-22-222-2-20000000000002i−2i00000000000002i−2i
χ1822-2-222-2-200022-22-2-22-222-2-2000000000000−2i2i0000000000000−2i2i22-2-222-2-200022-22-2-22-222-2-2000000000000−2i2i0000000000000−2i2i
χ1922-2-222-2-2000-1212-2-2-11-1-111003−333−3−300002i−2i00000000000−i3i3−ii22-2-222-2-2000-1212-2-2-11-1-111003−333−3−300002i−2i00000000000−i3i3−ii
χ2022-2-222-2-2000-1212-2-2-11-1-111003−333−3−30000−2i2i00000000000i3−i3i−i22-2-222-2-2000-1212-2-2-11-1-111003−333−3−30000−2i2i00000000000i3−i3i−i
χ2122-2-222-2-2000-1212-2-2-11-1-11100−33−3−33300002i−2i00000000000i3−i3−ii22-2-222-2-2000-1212-2-2-11-1-11100−33−3−33300002i−2i00000000000i3−i3−ii
χ2222-2-222-2-2000-1212-2-2-11-1-11100−33−3−3330000−2i2i00000000000−i3i3i−i22-2-222-2-2000-1212-2-2-11-1-11100−33−3−3330000−2i2i00000000000−i3i3i−i
χ232-22-22-22-2000222-22-2-2-22-22-200000000002i−2i000000000002i−2i00002-22-22-22-2000222-22-2-2-22-22-200000000002i−2i000000000002i−2i0000
χ242-22-22-22-2000222-22-2-2-22-22-20000000000−2i2i00000000000−2i2i00002-22-22-22-2000222-22-2-2-22-22-20000000000−2i2i00000000000−2i2i0000
χ252-2-222-2-2200022-2-2-22-222-2-22000000002-200000002-200000000002-2-222-2-2200022-2-2-22-222-2-22000000002-200000002-20000000000
χ262-2-222-2-2200022-2-2-22-222-2-2200000000-220000000-2200000000002-2-222-2-2200022-2-2-22-222-2-2200000000-220000000-220000000000
χ272-2-222-2-220002-1-211-1-22-111-1−i3i300−i3i3−i3i32-20000000-11−i3i3000000002-2-222-2-220002-1-211-1-22-111-1−i3i300−i3i3−i3i32-20000000-11−i3i300000000
χ282-2-222-2-220002-1-211-1-22-111-1−i3i300−i3i3−i3i3-2200000001-1i3−i3000000002-2-222-2-220002-1-211-1-22-111-1−i3i300−i3i3−i3i3-2200000001-1i3−i300000000
χ292-2-222-2-220002-1-211-1-22-111-1i3−i300i3−i3i3−i32-20000000-11i3−i3000000002-2-222-2-220002-1-211-1-22-111-1i3−i300i3−i3i3−i32-20000000-11i3−i300000000
χ302-2-222-2-220002-1-211-1-22-111-1i3−i300i3−i3i3−i3-2200000001-1−i3i3000000002-2-222-2-220002-1-211-1-22-111-1i3−i300i3−i3i3−i3-2200000001-1−i3i300000000
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
χ3344-4-444-4-40004-2-4-2224-4-2-2220000000000000000000000000000044-4-444-4-40004-2-4-2224-4-2-22200000000000000000000000000000
χ3444-4-444-4-4000-2-22-222-2211-1-10023−23−3−33300000000000000000000044-4-444-4-4000-2-22-222-2211-1-10023−23−3−333000000000000000000000
χ3544-4-444-4-4000-2-22-222-2211-1-100−232333−3−300000000000000000000044-4-444-4-4000-2-22-222-2211-1-100−232333−3−3000000000000000000000
χ364-44-44-44-40004-242-22-4-4-22-22000000000000000000000000000004-44-44-44-40004-242-22-4-4-22-2200000000000000000000000000000
χ374-44-44-44-4000-24-2-44-422-22-22000000000000000000000000000004-44-44-44-4000-24-2-44-422-22-2200000000000000000000000000000
χ384-44-44-44-4000-2-2-22-22221-11-100003i−3i−3i3i0000000000000000000004-44-44-44-4000-2-2-22-22221-11-100003i−3i−3i3i000000000000000000000
χ394-44-44-44-4000-2-2-22-22221-11-10000−3i3i3i−3i0000000000000000000004-44-44-44-4000-2-2-22-22221-11-10000−3i3i3i−3i000000000000000000000
χ404-4-444-4-44000-242-4-442-2-222-2000000000000000000000000000004-4-444-4-44000-242-4-442-2-222-200000000000000000000000000000
χ414-4-444-4-44000-2-2222-22-21-1-11−2i32i300i3−i3i3−i30000000000000000000004-4-444-4-44000-2-2222-22-21-1-11−2i32i300i3−i3i3−i3000000000000000000000
χ424-4-444-4-44000-2-2222-22-21-1-112i3−2i300−i3i3−i3i30000000000000000000004-4-444-4-44000-2-2222-22-21-1-112i3−2i300−i3i3−i3i3000000000000000000000
χ436666-3-3-3-36-3-3000000000000000000000022000200000-1-1-1-100006666-3-3-3-36-3-3000000000000000000000022000200000-1-1-1-10000
χ446666-3-3-3-36-3-30000000000000000000000-2-2000-200000111100006666-3-3-3-36-3-30000000000000000000000-2-2000-20000011110000
χ456666-3-3-3-3-633000000000000000000000022000-20000011-1-100006666-3-3-3-3-633000000000000000000000022000-20000011-1-10000
χ466666-3-3-3-3-6330000000000000000000000-2-2000200000-1-11100006666-3-3-3-3-6330000000000000000000000-2-2000200000-1-1110000
χ476-66-6-33-33033−3300000000000000000000002i−2i000000000−i3i3−ii00006-66-6-33-33033−3300000000000000000000002i−2i000000000−i3i3−ii0000
χ486-66-6-33-33033−330000000000000000000000−2i2i000000000i3−i3i−i00006-66-6-33-33033−330000000000000000000000−2i2i000000000i3−i3i−i0000
χ496-66-6-33-330−333300000000000000000000002i−2i000000000i3−i3−ii00006-66-6-33-330−333300000000000000000000002i−2i000000000i3−i3−ii0000
χ506-66-6-33-330−33330000000000000000000000−2i2i000000000−i3i3i−i00006-66-6-33-330−33330000000000000000000000−2i2i000000000−i3i3i−i0000
χ511212-12-12-6-666000000000000000000000000000000000000000000001212-12-12-6-66600000000000000000000000000000000000000000000
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
χ54111111111111111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-111111111
χ551111111111111111111111111111111-1-111-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-111111-1-1-1-11111
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
χ5711111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-11111-1-111-1-1
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
χ5911111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-11-111-1-111-1-1-1-111
χ6011111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-1-1-11111-1-1
χ61222222222222-12-1-1-122-1-1-1-1-1-122-1-1-1-1220000200-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-21-2111-2-2111111-2-21111-2-20000-200111100000000
χ62222222222222-12-1-1-122-1-1-1-1-1-122-1-1-1-1-2-20000-200111100000000-2-2-2-2-2-2-2-2-2-2-2-21-2111-2-2111111-2-21111220000200-1-1-1-100000000
χ6322222222222-12-1222-1-1-1-1-1-122-1-1-1-1-1-100002200200000000-1-1-1-1-2-2-2-2-2-2-2-2-2-2-21-21-2-2-2111111-2-21111110000-2-200-2000000001111
χ6422222222222-12-1222-1-1-1-1-1-122-1-1-1-1-1-10000-2-200-2000000001111-2-2-2-2-2-2-2-2-2-2-21-21-2-2-2111111-2-211111100002200200000000-1-1-1-1
χ6522222222-2-2-22-12-1-1-122-1-1-1-111-2-21111220000-200-1-11100000000-2-2-2-2-2-2-2-2222-21-2111-2-21111-1-122-1-1-1-1-2-2000020011-1-100000000
χ6622222222-2-2-22-12-1-1-122-1-1-1-111-2-21111-2-2000020011-1-100000000-2-2-2-2-2-2-2-2222-21-2111-2-21111-1-122-1-1-1-1220000-200-1-11100000000
χ6722222222-2-2-2-12-1222-1-1-1-1-1-1-2-211111100002200-20000000011-1-1-2-2-2-2-2-2-2-22221-21-2-2-211111122-1-1-1-1-1-10000-2-200200000000-1-111
χ6822222222-2-2-2-12-1222-1-1-1-1-1-1-2-21111110000-2-200200000000-1-111-2-2-2-2-2-2-2-22221-21-2-2-211111122-1-1-1-1-1-100002200-20000000011-1-1
χ6922-2-222-2-200022-22-2-22-222-2-20000000000002i−2i00000000000002i−2i-2-222-2-222000-2-22-222-22-2-222000000000000−2i2i0000000000000−2i2i
χ7022-2-222-2-200022-22-2-22-222-2-2000000000000−2i2i0000000000000−2i2i-2-222-2-222000-2-22-222-22-2-2220000000000002i−2i00000000000002i−2i
χ7122-2-222-2-2000-1212-2-2-11-1-111003−333−3−300002i−2i00000000000−i3i3−ii-2-222-2-2220001-2-1-2221-111-1-100−33−3−3330000−2i2i00000000000i3−i3i−i
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χ7322-2-222-2-2000-1212-2-2-11-1-11100−33−3−33300002i−2i00000000000i3−i3−ii-2-222-2-2220001-2-1-2221-111-1-1003−333−3−30000−2i2i00000000000−i3i3i−i
χ7422-2-222-2-2000-1212-2-2-11-1-11100−33−3−3330000−2i2i00000000000−i3i3i−i-2-222-2-2220001-2-1-2221-111-1-1003−333−3−300002i−2i00000000000i3−i3−ii
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χ914-44-44-44-4000-2-2-22-22221-11-10000−3i3i3i−3i000000000000000000000-44-44-44-44000222-22-2-2-2-11-1100003i−3i−3i3i000000000000000000000
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χ934-4-444-4-44000-2-2222-22-21-1-11−2i32i300i3−i3i3−i3000000000000000000000-444-4-444-400022-2-2-22-22-111-12i3−2i300−i3i3−i3i3000000000000000000000
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χ956666-3-3-3-36-3-3000000000000000000000022000200000-1-1-1-10000-6-6-6-63333-6330000000000000000000000-2-2000-20000011110000
χ966666-3-3-3-36-3-30000000000000000000000-2-2000-20000011110000-6-6-6-63333-633000000000000000000000022000200000-1-1-1-10000
χ976666-3-3-3-3-633000000000000000000000022000-20000011-1-10000-6-6-6-633336-3-30000000000000000000000-2-2000200000-1-1110000
χ986666-3-3-3-3-6330000000000000000000000-2-2000200000-1-1110000-6-6-6-633336-3-3000000000000000000000022000-20000011-1-10000
χ996-66-6-33-33033−3300000000000000000000002i−2i000000000−i3i3−ii0000-66-663-33-30−33330000000000000000000000−2i2i000000000i3−i3i−i0000
χ1006-66-6-33-33033−330000000000000000000000−2i2i000000000i3−i3i−i0000-66-663-33-30−333300000000000000000000002i−2i000000000−i3i3−ii0000
χ1016-66-6-33-330−333300000000000000000000002i−2i000000000i3−i3−ii0000-66-663-33-3033−330000000000000000000000−2i2i000000000−i3i3i−i0000
χ1026-66-6-33-330−33330000000000000000000000−2i2i000000000−i3i3i−i0000-66-663-33-3033−3300000000000000000000002i−2i000000000i3−i3−ii0000
χ1031212-12-12-6-66600000000000000000000000000000000000000000000-12-12121266-6-600000000000000000000000000000000000000000000
χ10412-12-1212-666-600000000000000000000000000000000000000000000-121212-126-6-6600000000000000000000000000000000000000000000

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