Finite Group Databasebeta

← Group #11873592

Character table — Group #11873592

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11114444444448888181824242424242424242424242436363636361111444444444888818182424242424242424242424243636363636
order1222334666666121212124422446666121212124888822226646666661212121244224466661212121248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-11111-1-1-1-11-1-1-1-1111111111111111111111-1-11111-1-1-1-11-1-1-1-1
χ31111111111111111111-1-111-1-1-1-111111-1-1-1-11111111111111111111-1-111-1-1-1-111111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1111111-1-1-1-1111-11-111-1-1-1-111-111-1-1111111-1111111-1-1-1-1111-11-111-1-1-1-111-111-1-1
χ6111111-1111111-1-1-1-1111-1-1111-1-111-1-1-1-1-111111111-1111111-1-1-1-1111-1-1111-1-111-1-1-1-1-111
χ7111111-1111111-1-1-1-111-111-1-1-111-1-111-1-1-111111111-1111111-1-1-1-111-111-1-1-111-1-111-1-1-111
χ8111111-1111111-1-1-1-111-11-11-1-11111-1-1-111-1-1111111-1111111-1-1-1-111-11-11-1-11111-1-1-111-1-1
χ922222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-20000
χ10222222-2222222-2-2-2-2-2-200000000000020000222222-2222222-2-2-2-2-2-200000000000020000
χ112-22-222022-2-2-2-200002-20000000000000002i−2i2-22-222022-2-2-2-200002-20000000000000002i−2i
χ122-22-222022-2-2-2-200002-2000000000000000−2i2i2-22-222022-2-2-2-200002-2000000000000000−2i2i
χ132-22-222022-2-2-2-20000-2200000000000002i−2i002-22-222022-2-2-2-20000-2200000000000002i−2i00
χ142-22-222022-2-2-2-20000-220000000000000−2i2i002-22-222022-2-2-2-20000-220000000000000−2i2i00
χ1544441-241-2-2-211-2-2110000220000-1-1-1-10000044441-241-2-2-211-2-2110000220000-1-1-1-100000
χ1644441-241-2-2-211-2-2110000-2-2000011110000044441-241-2-2-211-2-2110000-2-20000111100000
χ1744441-2-41-2-2-21122-1-100002-2000011-1-10000044441-2-41-2-2-21122-1-100002-2000011-1-100000
χ1844441-2-41-2-2-21122-1-10000-220000-1-1110000044441-2-41-2-2-21122-1-10000-220000-1-11100000
χ194444-214-2111-2-211-2-2002200-1-1-1-10000000004444-214-2111-2-211-2-2002200-1-1-1-1000000000
χ204444-214-2111-2-211-2-200-2-20011110000000004444-214-2111-2-211-2-200-2-2001111000000000
χ214444-21-4-2111-2-2-1-122002-200-1-1110000000004444-21-4-2111-2-2-1-122002-200-1-111000000000
χ224444-21-4-2111-2-2-1-12200-220011-1-10000000004444-21-4-2111-2-2-1-12200-220011-1-1000000000
χ2344-4-4440-4-4-44-440000000000000000000000044-4-4440-4-4-44-4400000000000000000000000
χ2444-4-4-2102-1-112-23-300000000−i3i3−i3i300000000044-4-4-2102-1-112-23-300000000−i3i3−i3i3000000000
χ2544-4-4-2102-1-112-23-300000000i3−i3i3−i300000000044-4-4-2102-1-112-23-300000000i3−i3i3−i3000000000
χ2644-4-4-2102-1-112-2-3300000000−i3i3i3−i300000000044-4-4-2102-1-112-2-3300000000−i3i3i3−i3000000000
χ2744-4-4-2102-1-112-2-3300000000i3−i3−i3i300000000044-4-4-2102-1-112-2-3300000000i3−i3−i3i3000000000
χ284-4-441-20-12-221-1003i−3i0000000000−i3i33−3000004-4-441-20-12-221-1003i−3i0000000000−i3i33−300000
χ294-4-441-20-12-221-1003i−3i0000000000i3−i3−33000004-4-441-20-12-221-1003i−3i0000000000i3−i3−3300000
χ304-4-441-20-12-221-100−3i3i0000000000−i3i3−33000004-4-441-20-12-221-100−3i3i0000000000−i3i3−3300000
χ314-4-441-20-12-221-100−3i3i0000000000i3−i33−3000004-4-441-20-12-221-100−3i3i0000000000i3−i33−300000
χ324-4-44440-4-44-44-4000000000000000000000004-4-44440-4-44-44-400000000000000000000000
χ3388-8-82-40-244-4-220000000000000000000000088-8-82-40-244-4-2200000000000000000000000
χ348-88-82-402-444-2-2000000000000000000000008-88-82-402-444-2-200000000000000000000000
χ358-88-8-420-42-2-244000000000000000000000008-88-8-420-42-2-24400000000000000000000000
χ368-8-88-4204-22-2-44000000000000000000000008-8-88-4204-22-2-4400000000000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ38111111111111111111111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11111
χ391111111111111111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11111
χ401111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1
χ41111111-1111111-1-1-1-1111-11-111-1-1-1-111-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-11-11-1-11111-1-11-1-111
χ42111111-1111111-1-1-1-1111-1-1111-1-111-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-111-1-1-111-1-111111-1-1
χ43111111-1111111-1-1-1-111-111-1-1-111-1-111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-11-1-1111-1-111-1-1111-1-1
χ44111111-1111111-1-1-1-111-11-11-1-11111-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11-11-111-1-1-1-1111-1-111
χ4522222222222222222-2-2000000000000-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22200000000000020000
χ46222222-2222222-2-2-2-2-2-200000000000020000-2-2-2-2-2-22-2-2-2-2-2-2222222000000000000-20000
χ472-22-222022-2-2-2-200002-20000000000000002i−2i-22-22-2-20-2-222220000-22000000000000000−2i2i
χ482-22-222022-2-2-2-200002-2000000000000000−2i2i-22-22-2-20-2-222220000-220000000000000002i−2i
χ492-22-222022-2-2-2-20000-2200000000000002i−2i00-22-22-2-20-2-2222200002-20000000000000−2i2i00
χ502-22-222022-2-2-2-20000-220000000000000−2i2i00-22-22-2-20-2-2222200002-200000000000002i−2i00
χ5144441-241-2-2-211-2-2110000220000-1-1-1-100000-4-4-4-4-12-4-1222-1-122-1-10000-2-20000111100000
χ5244441-241-2-2-211-2-2110000-2-20000111100000-4-4-4-4-12-4-1222-1-122-1-10000220000-1-1-1-100000
χ5344441-2-41-2-2-21122-1-100002-2000011-1-100000-4-4-4-4-124-1222-1-1-2-2110000-220000-1-11100000
χ5444441-2-41-2-2-21122-1-10000-220000-1-11100000-4-4-4-4-124-1222-1-1-2-21100002-2000011-1-100000
χ554444-214-2111-2-211-2-2002200-1-1-1-1000000000-4-4-4-42-1-42-1-1-122-1-12200-2-2001111000000000
χ564444-214-2111-2-211-2-200-2-2001111000000000-4-4-4-42-1-42-1-1-122-1-122002200-1-1-1-1000000000
χ574444-21-4-2111-2-2-1-122002-200-1-111000000000-4-4-4-42-142-1-1-12211-2-200-220011-1-1000000000
χ584444-21-4-2111-2-2-1-12200-220011-1-1000000000-4-4-4-42-142-1-1-12211-2-2002-200-1-111000000000
χ5944-4-4440-4-4-44-4400000000000000000000000-4-444-4-40444-44-400000000000000000000000
χ6044-4-4-2102-1-112-23-300000000−i3i3−i3i3000000000-4-4442-10-211-1-22-3300000000i3−i3i3−i3000000000
χ6144-4-4-2102-1-112-23-300000000i3−i3i3−i3000000000-4-4442-10-211-1-22-3300000000−i3i3−i3i3000000000
χ6244-4-4-2102-1-112-2-3300000000−i3i3i3−i3000000000-4-4442-10-211-1-223-300000000i3−i3−i3i3000000000
χ6344-4-4-2102-1-112-2-3300000000i3−i3−i3i3000000000-4-4442-10-211-1-223-300000000−i3i3i3−i3000000000
χ644-4-441-20-12-221-1003i−3i0000000000−i3i33−300000-444-4-1201-22-2-1100−3i3i0000000000i3−i3−3300000
χ654-4-441-20-12-221-1003i−3i0000000000i3−i3−3300000-444-4-1201-22-2-1100−3i3i0000000000−i3i33−300000
χ664-4-441-20-12-221-100−3i3i0000000000−i3i3−3300000-444-4-1201-22-2-11003i−3i0000000000i3−i33−300000
χ674-4-441-20-12-221-100−3i3i0000000000i3−i33−300000-444-4-1201-22-2-11003i−3i0000000000−i3i3−3300000
χ684-4-44440-4-44-44-400000000000000000000000-444-4-4-4044-44-4400000000000000000000000
χ6988-8-82-40-244-4-2200000000000000000000000-8-888-2402-4-442-200000000000000000000000
χ708-88-82-402-444-2-200000000000000000000000-88-88-240-24-4-42200000000000000000000000
χ718-88-8-420-42-2-24400000000000000000000000-88-884-204-222-4-400000000000000000000000
χ728-8-88-4204-22-2-4400000000000000000000000-888-84-20-42-224-400000000000000000000000

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