Finite Group Databasebeta

← Group #13152080

Character table — Group #13152080

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222444666666661212121212121212121212121818181818183636363636363636363636363636361111222244466666666121212121212121212121212181818181818363636363636363636363636363636
order1222366626633666666366666666666224444444661212121212121212121222226666266666666666666666666662244444446612121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111-1-11-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111-1-111-1-11-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-111-11-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-111-11-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1111111111-1-1-1-1111-1-1-1-1111111-1-1-111-1-111-1-111-1-111111111-1-1-1111111111-1-1-1-1111-1-1-1-1111111-1-1-111-1-111-1-111-1-1
χ611111111-1-1-1111111111-1-1-1-1111-1-1-1-111-1-1-1-111-111-1-1-1-111-1-11111111111-1-1-1111111111-1-1-1-1111-1-1-1-111-1-1-1-111-111-1-1-1-111-1-111
χ711111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-11111111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111
χ811111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-11-1-111-1-11111-1-111111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-11-1-111-1-11111-1-1
χ9222222222222-12-122-1-1-122-1-1-1-1-1-1-1-1-100002202000000000-1-1-1-1222222222222-12-122-1-1-122-1-1-1-1-1-1-1-1-100002202000000000-1-1-1-1
χ10222222222222-12-122-1-1-122-1-1-1-1-1-1-1-1-10000-2-20-20000000001111222222222222-12-122-1-1-122-1-1-1-1-1-1-1-1-10000-2-20-20000000001111
χ1122222222222-12-12-1-122-1-1-122-1-1-1-1-1-1-10022002000000-1-1-1-1000022222222222-12-12-1-122-1-1-122-1-1-1-1-1-1-10022002000000-1-1-1-10000
χ1222222222222-12-12-1-122-1-1-122-1-1-1-1-1-1-100-2-200-20000001111000022222222222-12-12-1-122-1-1-122-1-1-1-1-1-1-100-2-200-200000011110000
χ1322222222-2-2-22-12-122-1-1-1-2-211-1-1-111110000220-2000000000-1-11122222222-2-2-22-12-122-1-1-1-2-211-1-1-111110000220-2000000000-1-111
χ1422222222-2-2-22-12-122-1-1-1-2-211-1-1-111110000-2-20200000000011-1-122222222-2-2-22-12-122-1-1-1-2-211-1-1-111110000-2-20200000000011-1-1
χ1522222222-2-2-2-12-12-1-122-111-2-2-1-1-11111002200-2000000-1-111000022222222-2-2-2-12-12-1-122-111-2-2-1-1-11111002200-2000000-1-1110000
χ1622222222-2-2-2-12-12-1-122-111-2-2-1-1-1111100-2-200200000011-1-1000022222222-2-2-2-12-12-1-122-111-2-2-1-1-1111100-2-200200000011-1-10000
χ1722-2-222-2-2000222-2-2-22-2200002-2-20000002i−2i0000000002i−2i00000022-2-222-2-2000222-2-2-22-2200002-2-20000002i−2i0000000002i−2i000000
χ1822-2-222-2-2000222-2-2-22-2200002-2-2000000−2i2i000000000−2i2i00000022-2-222-2-2000222-2-2-22-2200002-2-2000000−2i2i000000000−2i2i000000
χ1922-2-222-2-2000-12-1-2112-2-1−i3i300-111−i3−i3i3i3002i−2i000000000−ii3−3000022-2-222-2-2000-12-1-2112-2-1−i3i300-111−i3−i3i3i3002i−2i000000000−ii3−30000
χ2022-2-222-2-2000-12-1-2112-2-1−i3i300-111−i3−i3i3i300−2i2i000000000i−i−33000022-2-222-2-2000-12-1-2112-2-1−i3i300-111−i3−i3i3i300−2i2i000000000i−i−330000
χ2122-2-222-2-2000-12-1-2112-2-1i3−i300-111i3i3−i3−i3002i−2i000000000−ii−33000022-2-222-2-2000-12-1-2112-2-1i3−i300-111i3i3−i3−i3002i−2i000000000−ii−330000
χ2222-2-222-2-2000-12-1-2112-2-1i3−i300-111i3i3−i3−i300−2i2i000000000i−i3−3000022-2-222-2-2000-12-1-2112-2-1i3−i300-111i3i3−i3−i300−2i2i000000000i−i3−30000
χ232-22-22-22-200022-222-2-2-220000-22-2000000002i−2i000000000002i−2i002-22-22-22-200022-222-2-2-220000-22-2000000002i−2i000000000002i−2i00
χ242-22-22-22-200022-222-2-2-220000-22-200000000−2i2i00000000000−2i2i002-22-22-22-200022-222-2-2-220000-22-200000000−2i2i00000000000−2i2i00
χ252-22-22-22-20002-1-2-12-211-100−i3i31-11−i3i3−i3i300002i−2i00000000000−ii3−32-22-22-22-20002-1-2-12-211-100−i3i31-11−i3i3−i3i300002i−2i00000000000−ii3−3
χ262-22-22-22-20002-1-2-12-211-100−i3i31-11−i3i3−i3i30000−2i2i00000000000i−i−332-22-22-22-20002-1-2-12-211-100−i3i31-11−i3i3−i3i30000−2i2i00000000000i−i−33
χ272-22-22-22-20002-1-2-12-211-100i3−i31-11i3−i3i3−i300002i−2i00000000000−ii−332-22-22-22-20002-1-2-12-211-100i3−i31-11i3−i3i3−i300002i−2i00000000000−ii−33
χ282-22-22-22-20002-1-2-12-211-100i3−i31-11i3−i3i3−i30000−2i2i00000000000i−i3−32-22-22-22-20002-1-2-12-211-100i3−i31-11i3−i3i3−i30000−2i2i00000000000i−i3−3
χ292-2-222-2-2200022-2-2-22-2220000-2-2200002-200000002-200000000002-2-222-2-2200022-2-2-22-2220000-2-2200002-200000002-20000000000
χ302-2-222-2-2200022-2-2-22-2220000-2-220000-220000000-2200000000002-2-222-2-2200022-2-2-22-2220000-2-220000-220000000-220000000000
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
χ3344-4-444-4-40004-242-4-4-22-20000-222000000000000000000000000044-4-444-4-40004-242-4-4-22-20000-2220000000000000000000000000
χ3444-4-444-4-4000-2-2-2222-221−2i32i3001-1-1i3i3−i3−i300000000000000000000044-4-444-4-4000-2-2-2222-221−2i32i3001-1-1i3i3−i3−i3000000000000000000000
χ3544-4-444-4-4000-2-2-2222-2212i3−2i3001-1-1−i3−i3i3i300000000000000000000044-4-444-4-4000-2-2-2222-2212i3−2i3001-1-1−i3−i3i3i3000000000000000000000
χ364-44-44-44-4000-2424-22-4-4-200002-2200000000000000000000000004-44-44-44-4000-2424-22-4-4-200002-220000000000000000000000000
χ374-44-44-44-4000-2-22-2-2222100−2i32i3-11-1i3−i3i3−i30000000000000000000004-44-44-44-4000-2-22-2-2222100−2i32i3-11-1i3−i3i3−i3000000000000000000000
χ384-44-44-44-4000-2-22-2-22221002i3−2i3-11-1−i3i3−i3i30000000000000000000004-44-44-44-4000-2-22-2-22221002i3−2i3-11-1−i3i3−i3i3000000000000000000000
χ394-4-444-4-440004-2-42-442-2-2000022-200000000000000000000000004-4-444-4-440004-2-42-442-2-2000022-20000000000000000000000000
χ404-4-444-4-44000-242-42-2-44-2000022-200000000000000000000000004-4-444-4-44000-242-42-2-44-2000022-20000000000000000000000000
χ414-4-444-4-44000-2-2222-22-210000-1-113-3-330000000000000000000004-4-444-4-44000-2-2222-22-210000-1-113-3-33000000000000000000000
χ424-4-444-4-44000-2-2222-22-210000-1-11-333-30000000000000000000004-4-444-4-44000-2-2222-22-210000-1-11-333-3000000000000000000000
χ436666-3-3-3-36-3-300000000000000000000220000002-1-1-1-1000000006666-3-3-3-36-3-300000000000000000000220000002-1-1-1-100000000
χ446666-3-3-3-36-3-300000000000000000000-2-2000000-21111000000006666-3-3-3-36-3-300000000000000000000-2-2000000-2111100000000
χ456666-3-3-3-3-6330000000000000000000022000000-2-1-111000000006666-3-3-3-3-6330000000000000000000022000000-2-1-11100000000
χ466666-3-3-3-3-63300000000000000000000-2-2000000211-1-1000000006666-3-3-3-3-63300000000000000000000-2-2000000211-1-100000000
χ476-6-66-333-30−3i33i3000000000000000000002-20000000-11−i3i3000000006-6-66-333-30−3i33i3000000000000000000002-20000000-11−i3i300000000
χ486-6-66-333-30−3i33i300000000000000000000-2200000001-1i3−i3000000006-6-66-333-30−3i33i300000000000000000000-2200000001-1i3−i300000000
χ496-6-66-333-303i3−3i3000000000000000000002-20000000-11i3−i3000000006-6-66-333-303i3−3i3000000000000000000002-20000000-11i3−i300000000
χ506-6-66-333-303i3−3i300000000000000000000-2200000001-1−i3i3000000006-6-66-333-303i3−3i300000000000000000000-2200000001-1−i3i300000000
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
χ54111111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111111
χ551111111111111111111111111111111-1-111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1111111-1-1-1-11111
χ561111111111111111111111111111111-1-1-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1111111111-1-1-1-1
χ5711111111-1-1-1111111111-1-1-1-1111-1-1-1-1111111-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1111-1-111-1-111-1-111
χ5811111111-1-1-1111111111-1-1-1-1111-1-1-1-111-1-1-1-111-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-11111-1-11-1-11111-1-111-1-1
χ5911111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1111-1-111-1-1-1-11111-1-1
χ6011111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-11-111-1-111-1-1-1-111
χ61222222222222-12-122-1-1-122-1-1-1-1-1-1-1-1-100002202000000000-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-21-21-2-2111-2-21111111110000-2-20-20000000001111
χ62222222222222-12-122-1-1-122-1-1-1-1-1-1-1-1-10000-2-20-20000000001111-2-2-2-2-2-2-2-2-2-2-2-21-21-2-2111-2-211111111100002202000000000-1-1-1-1
χ6322222222222-12-12-1-122-1-1-122-1-1-1-1-1-1-10022002000000-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-21-21-211-2-2111-2-2111111100-2-200-200000011110000
χ6422222222222-12-12-1-122-1-1-122-1-1-1-1-1-1-100-2-200-200000011110000-2-2-2-2-2-2-2-2-2-2-21-21-211-2-2111-2-211111110022002000000-1-1-1-10000
χ6522222222-2-2-22-12-122-1-1-1-2-211-1-1-111110000220-2000000000-1-111-2-2-2-2-2-2-2-2222-21-21-2-211122-1-1111-1-1-1-10000-2-20200000000011-1-1
χ6622222222-2-2-22-12-122-1-1-1-2-211-1-1-111110000-2-20200000000011-1-1-2-2-2-2-2-2-2-2222-21-21-2-211122-1-1111-1-1-1-10000220-2000000000-1-111
χ6722222222-2-2-2-12-12-1-122-111-2-2-1-1-11111002200-2000000-1-1110000-2-2-2-2-2-2-2-22221-21-211-2-21-1-122111-1-1-1-100-2-200200000011-1-10000
χ6822222222-2-2-2-12-12-1-122-111-2-2-1-1-1111100-2-200200000011-1-10000-2-2-2-2-2-2-2-22221-21-211-2-21-1-122111-1-1-1-1002200-2000000-1-1110000
χ6922-2-222-2-2000222-2-2-22-2200002-2-20000002i−2i0000000002i−2i000000-2-222-2-222000-2-2-2222-22-20000-222000000−2i2i000000000−2i2i000000
χ7022-2-222-2-2000222-2-2-22-2200002-2-2000000−2i2i000000000−2i2i000000-2-222-2-222000-2-2-2222-22-20000-2220000002i−2i0000000002i−2i000000
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χ7322-2-222-2-2000-12-1-2112-2-1i3−i300-111i3i3−i3−i3002i−2i000000000−ii−330000-2-222-2-2220001-212-1-1-221−i3i3001-1-1−i3−i3i3i300−2i2i000000000i−i3−30000
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χ802-22-22-22-20002-1-2-12-211-100i3−i31-11i3−i3i3−i30000−2i2i00000000000i−i3−3-22-22-22-22000-2121-22-1-1100−i3i3-11-1−i3i3−i3i300002i−2i00000000000−ii−33
χ812-2-222-2-2200022-2-2-22-2220000-2-2200002-200000002-20000000000-222-2-222-2000-2-2222-22-2-2000022-20000-220000000-220000000000
χ822-2-222-2-2200022-2-2-22-2220000-2-220000-220000000-220000000000-222-2-222-2000-2-2222-22-2-2000022-200002-200000002-20000000000
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χ8744-4-444-4-4000-2-2-2222-2212i3−2i3001-1-1−i3−i3i3i3000000000000000000000-4-444-4-444000222-2-2-22-2-1−2i32i300-111i3i3−i3−i3000000000000000000000
χ884-44-44-44-4000-2424-22-4-4-200002-220000000000000000000000000-44-44-44-440002-4-2-42-24420000-22-20000000000000000000000000
χ894-44-44-44-4000-2-22-2-2222100−2i32i3-11-1i3−i3i3−i3000000000000000000000-44-44-44-4400022-222-2-2-2-1002i3−2i31-11−i3i3−i3i3000000000000000000000
χ904-44-44-44-4000-2-22-2-22221002i3−2i3-11-1−i3i3−i3i3000000000000000000000-44-44-44-4400022-222-2-2-2-100−2i32i31-11i3−i3i3−i3000000000000000000000
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χ924-4-444-4-44000-242-42-2-44-2000022-20000000000000000000000000-444-4-444-40002-4-24-224-420000-2-220000000000000000000000000
χ934-4-444-4-44000-2-2222-22-210000-1-113-3-33000000000000000000000-444-4-444-400022-2-2-22-22-1000011-1-333-3000000000000000000000
χ944-4-444-4-44000-2-2222-22-210000-1-11-333-3000000000000000000000-444-4-444-400022-2-2-22-22-1000011-13-3-33000000000000000000000
χ956666-3-3-3-36-3-300000000000000000000220000002-1-1-1-100000000-6-6-6-63333-63300000000000000000000-2-2000000-2111100000000
χ966666-3-3-3-36-3-300000000000000000000-2-2000000-2111100000000-6-6-6-63333-63300000000000000000000220000002-1-1-1-100000000
χ976666-3-3-3-3-6330000000000000000000022000000-2-1-11100000000-6-6-6-633336-3-300000000000000000000-2-2000000211-1-100000000
χ986666-3-3-3-3-63300000000000000000000-2-2000000211-1-100000000-6-6-6-633336-3-30000000000000000000022000000-2-1-11100000000
χ996-6-66-333-30−3i33i3000000000000000000002-20000000-11−i3i300000000-666-63-3-3303i3−3i300000000000000000000-2200000001-1i3−i300000000
χ1006-6-66-333-30−3i33i300000000000000000000-2200000001-1i3−i300000000-666-63-3-3303i3−3i3000000000000000000002-20000000-11−i3i300000000
χ1016-6-66-333-303i3−3i3000000000000000000002-20000000-11i3−i300000000-666-63-3-330−3i33i300000000000000000000-2200000001-1−i3i300000000
χ1026-6-66-333-303i3−3i300000000000000000000-2200000001-1−i3i300000000-666-63-3-330−3i33i3000000000000000000002-20000000-11i3−i300000000
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).