Finite Group Databasebeta

← Group #13152091

Character table — Group #13152091

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222444666666661212121212121212121212121818181818183636363636363636363636363636361111222244466666666121212121212121212121212181818181818363636363636363636363636363636
order122236662663366666636666666666622444424466661212121212121212222266662666666666666666666666622444424466661212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-11-1-1-111-1-111-1-1-1-1111111111111111111111111111111111-1-1-1-1-11-1-1-111-1-111-1-1-1-1
χ31111111111111111111111111111111-1-111-1-11-1-111-1-111-1-1-1-1-1-11111111111111111111111111111111-1-111-1-11-1-111-1-111-1-1-1-1-1-1
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
χ511111111-1-1-1111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-11111-1-111-1-111111111-1-1-1111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-11111-1-111-1-1
χ611111111-1-1-1111111111-1-1-1-1111-1-1-1-111-1-1-1-11-111111-1-1-1-1-1-11111111111-1-1-1111111111-1-1-1-1111-1-1-1-111-1-1-1-11-111111-1-1-1-1-1-111
χ711111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-11111111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-111
χ811111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-111-1-1-1-11111-1-111111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-111-1-1-1-11111-1-1
χ9222222222222-12-1-122-1-122-1-1-1-1-1-1-1-1-122000002000-1-100-1-10000222222222222-12-1-122-1-122-1-1-1-1-1-1-1-1-122000002000-1-100-1-10000
χ10222222222222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-2-200000-20001100110000222222222222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-2-200000-20001100110000
χ1122222222222-12-122-1-12-1-1-122-1-1-1-1-1-1-100002200200000000-1-1-1-122222222222-12-122-1-12-1-1-122-1-1-1-1-1-1-100002200200000000-1-1-1-1
χ1222222222222-12-122-1-12-1-1-122-1-1-1-1-1-1-10000-2-200-200000000111122222222222-12-122-1-12-1-1-122-1-1-1-1-1-1-10000-2-200-2000000001111
χ1322222222-2-2-22-12-1-122-1-1-2-211-1-1-111112200000-2000-1-10011000022222222-2-2-22-12-1-122-1-1-2-211-1-1-111112200000-2000-1-100110000
χ1422222222-2-2-22-12-1-122-1-1-2-211-1-1-11111-2-20000020001100-1-1000022222222-2-2-22-12-1-122-1-1-2-211-1-1-11111-2-20000020001100-1-10000
χ1522222222-2-2-2-12-122-1-12-111-2-2-1-1-1111100002200-200000000-1-11122222222-2-2-2-12-122-1-12-111-2-2-1-1-1111100002200-200000000-1-111
χ1622222222-2-2-2-12-122-1-12-111-2-2-1-1-111110000-2-20020000000011-1-122222222-2-2-2-12-122-1-12-111-2-2-1-1-111110000-2-20020000000011-1-1
χ1722-2-222-2-20002222-2-2-2-2200002-2-2000000002i−2i000000000002i−2i0022-2-222-2-20002222-2-2-2-2200002-2-2000000002i−2i000000000002i−2i00
χ1822-2-222-2-20002222-2-2-2-2200002-2-200000000−2i2i00000000000−2i2i0022-2-222-2-20002222-2-2-2-2200002-2-200000000−2i2i00000000000−2i2i00
χ1922-2-222-2-2000-12-12-211-2-1−i3i300-111−i3−i3i3i300002i−2i00000000000−ii3−322-2-222-2-2000-12-12-211-2-1−i3i300-111−i3−i3i3i300002i−2i00000000000−ii3−3
χ2022-2-222-2-2000-12-12-211-2-1−i3i300-111−i3−i3i3i30000−2i2i00000000000i−i−3322-2-222-2-2000-12-12-211-2-1−i3i300-111−i3−i3i3i30000−2i2i00000000000i−i−33
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χ2222-2-222-2-2000-12-12-211-2-1i3−i300-111i3i3−i3−i30000−2i2i00000000000i−i3−322-2-222-2-2000-12-12-211-2-1i3−i300-111i3i3−i3−i30000−2i2i00000000000i−i3−3
χ232-22-22-22-200022-2-2-22-2220000-22-200002-20000000002-2000000002-22-22-22-200022-2-2-22-2220000-22-200002-20000000002-200000000
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χ272-22-22-22-20002-1-2112-2-1-100i3−i31-11i3−i3i3−i32-2000000000-1100i3−i300002-22-22-22-20002-1-2112-2-1-100i3−i31-11i3−i3i3−i32-2000000000-1100i3−i30000
χ282-22-22-22-20002-1-2112-2-1-100i3−i31-11i3−i3i3−i3-220000000001-100−i3i300002-22-22-22-20002-1-2112-2-1-100i3−i31-11i3−i3i3−i3-220000000001-100−i3i30000
χ292-2-222-2-2200022-2-22-22-220000-2-220000002-20000000002-20000002-2-222-2-2200022-2-22-22-220000-2-220000002-20000000002-2000000
χ302-2-222-2-2200022-2-22-22-220000-2-22000000-22000000000-220000002-2-222-2-2200022-2-22-22-220000-2-22000000-22000000000-22000000
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
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χ394-4-444-4-440004-2-42-2-442-2000022-200000000000000000000000004-4-444-4-440004-2-42-2-442-2000022-20000000000000000000000000
χ404-4-444-4-44000-242-442-2-4-2000022-200000000000000000000000004-4-444-4-44000-242-442-2-4-2000022-20000000000000000000000000
χ414-4-444-4-44000-2-222-22-2210000-1-113-3-330000000000000000000004-4-444-4-44000-2-222-22-2210000-1-113-3-33000000000000000000000
χ424-4-444-4-44000-2-222-22-2210000-1-11-333-30000000000000000000004-4-444-4-44000-2-222-22-2210000-1-11-333-3000000000000000000000
χ436666-3-3-3-36-3-300000000000000000000002200200-1-100-1-10000006666-3-3-3-36-3-300000000000000000000002200200-1-100-1-1000000
χ446666-3-3-3-36-3-30000000000000000000000-2-200-2001100110000006666-3-3-3-36-3-30000000000000000000000-2-200-200110011000000
χ456666-3-3-3-3-63300000000000000000000002200-2001100-1-10000006666-3-3-3-3-63300000000000000000000002200-2001100-1-1000000
χ466666-3-3-3-3-6330000000000000000000000-2-200200-1-100110000006666-3-3-3-3-6330000000000000000000000-2-200200-1-10011000000
χ476-6-66-333-30−3i33i300000000000000000000002-200000−i3i300-110000006-6-66-333-30−3i33i300000000000000000000002-200000−i3i300-11000000
χ486-6-66-333-30−3i33i30000000000000000000000-2200000i3−i3001-10000006-6-66-333-30−3i33i30000000000000000000000-2200000i3−i3001-1000000
χ496-6-66-333-303i3−3i300000000000000000000002-200000i3−i300-110000006-6-66-333-303i3−3i300000000000000000000002-200000i3−i300-11000000
χ506-6-66-333-303i3−3i30000000000000000000000-2200000−i3i3001-10000006-6-66-333-303i3−3i30000000000000000000000-2200000−i3i3001-1000000
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
χ54111111111111111111111111111111111-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1-111-1-11111
χ551111111111111111111111111111111-1-111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-1-1111111
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
χ5711111111-1-1-1111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-111111-1-1-1-111-1-111
χ5811111111-1-1-1111111111-1-1-1-1111-1-1-1-111-1-1-1-11-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-11111-11-1-1-1-1-1111111-1-1
χ5911111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1111-1-11111-1-1-1-111-1-1
χ6011111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-11-1-11111-1-1-1-111
χ61222222222222-12-1-122-1-122-1-1-1-1-1-1-1-1-122000002000-1-100-1-10000-2-2-2-2-2-2-2-2-2-2-2-21-211-2-211-2-2111111111-2-200000-20001100110000
χ62222222222222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-2-200000-20001100110000-2-2-2-2-2-2-2-2-2-2-2-21-211-2-211-2-211111111122000002000-1-100-1-10000
χ6322222222222-12-122-1-12-1-1-122-1-1-1-1-1-1-100002200200000000-1-1-1-1-2-2-2-2-2-2-2-2-2-2-21-21-2-211-2111-2-211111110000-2-200-2000000001111
χ6422222222222-12-122-1-12-1-1-122-1-1-1-1-1-1-10000-2-200-2000000001111-2-2-2-2-2-2-2-2-2-2-21-21-2-211-2111-2-2111111100002200200000000-1-1-1-1
χ6522222222-2-2-22-12-1-122-1-1-2-211-1-1-111112200000-2000-1-100110000-2-2-2-2-2-2-2-2222-21-211-2-21122-1-1111-1-1-1-1-2-20000020001100-1-10000
χ6622222222-2-2-22-12-1-122-1-1-2-211-1-1-11111-2-20000020001100-1-10000-2-2-2-2-2-2-2-2222-21-211-2-21122-1-1111-1-1-1-12200000-2000-1-100110000
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χ966666-3-3-3-36-3-30000000000000000000000-2-200-200110011000000-6-6-6-63333-63300000000000000000000002200200-1-100-1-1000000
χ976666-3-3-3-3-63300000000000000000000002200-2001100-1-1000000-6-6-6-633336-3-30000000000000000000000-2-200200-1-10011000000
χ986666-3-3-3-3-6330000000000000000000000-2-200200-1-10011000000-6-6-6-633336-3-300000000000000000000002200-2001100-1-1000000
χ996-6-66-333-30−3i33i300000000000000000000002-200000−i3i300-11000000-666-63-3-3303i3−3i30000000000000000000000-2200000i3−i3001-1000000
χ1006-6-66-333-30−3i33i30000000000000000000000-2200000i3−i3001-1000000-666-63-3-3303i3−3i300000000000000000000002-200000−i3i300-11000000
χ1016-6-66-333-303i3−3i300000000000000000000002-200000i3−i300-11000000-666-63-3-330−3i33i30000000000000000000000-2200000−i3i3001-1000000
χ1026-6-66-333-303i3−3i30000000000000000000000-2200000−i3i3001-1000000-666-63-3-330−3i33i300000000000000000000002-200000i3−i300-11000000
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).