Finite Group Databasebeta

← Group #11873558

Character table — Group #11873558

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11114444444448888181824242424242424242424242436363636361111444444444888818182424242424242424242424243636363636
order12223346666661212121244244466121212121212488882222664666666121212124424446612121212121248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-111111-1-1-1-11-1-1-1-111111111111111111111-1-111111-1-1-1-11-1-1-1-1
χ31111111111111111111-111-1-1-1-1-111111-1-1-1-11111111111111111111-111-1-1-1-1-111111-1-1-1-1
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
χ5111111-1111111-1-1-1-11111-1-111-1-111-1-1-111-1-1111111-1111111-1-1-1-11111-1-111-1-111-1-1-111-1-1
χ6111111-1111111-1-1-1-1111-11-111-1-1-1-111-1-1-111111111-1111111-1-1-1-1111-11-111-1-1-1-111-1-1-111
χ7111111-1111111-1-1-1-111-11-11-1-11111-1-1-1-1-111111111-1111111-1-1-1-111-11-11-1-11111-1-1-1-1-111
χ8111111-1111111-1-1-1-111-1-111-1-111-1-111-111-1-1111111-1111111-1-1-1-111-1-111-1-111-1-111-111-1-1
χ922222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-20000
χ10222222-2222222-2-2-2-2-2-200000000000020000222222-2222222-2-2-2-2-2-200000000000020000
χ112-2-222202-2-2-22-200002-20000000000000002i−2i2-2-222202-2-2-22-200002-20000000000000002i−2i
χ122-2-222202-2-2-22-200002-2000000000000000−2i2i2-2-222202-2-2-22-200002-2000000000000000−2i2i
χ132-2-222202-2-2-22-20000-2200000000000002i−2i002-2-222202-2-2-22-20000-2200000000000002i−2i00
χ142-2-222202-2-2-22-20000-220000000000000−2i2i002-2-222202-2-2-22-20000-220000000000000−2i2i00
χ1544441-2411-2-2-21-2-2110002200000-1-1-1-10000044441-2411-2-2-21-2-2110002200000-1-1-1-100000
χ1644441-2411-2-2-21-2-211000-2-20000011110000044441-2411-2-2-21-2-211000-2-200000111100000
χ1744441-2-411-2-2-2122-1-10002-200000-1-1110000044441-2-411-2-2-2122-1-10002-200000-1-11100000
χ1844441-2-411-2-2-2122-1-1000-220000011-1-10000044441-2-411-2-2-2122-1-1000-220000011-1-100000
χ194444-214-2-2111-211-2-2002002-1-1-1-10000000004444-214-2-2111-211-2-2002002-1-1-1-1000000000
χ204444-214-2-2111-211-2-200-200-211110000000004444-214-2-2111-211-2-200-200-21111000000000
χ214444-21-4-2-2111-2-1-12200200-2-1-1110000000004444-21-4-2-2111-2-1-12200200-2-1-111000000000
χ224444-21-4-2-2111-2-1-12200-200211-1-10000000004444-21-4-2-2111-2-1-12200-200211-1-1000000000
χ2344-4-4440-444-4-4-40000000000000000000000044-4-4440-444-4-4-400000000000000000000000
χ2444-4-4-2102-21-1-123i−3i00000000−i3i33−300000000044-4-4-2102-21-1-123i−3i00000000−i3i33−3000000000
χ2544-4-4-2102-21-1-123i−3i00000000i3−i3−3300000000044-4-4-2102-21-1-123i−3i00000000i3−i3−33000000000
χ2644-4-4-2102-21-1-12−3i3i00000000−i3i3−3300000000044-4-4-2102-21-1-12−3i3i00000000−i3i3−33000000000
χ2744-4-4-2102-21-1-12−3i3i00000000i3−i33−300000000044-4-4-2102-21-1-12−3i3i00000000i3−i33−3000000000
χ284-44-41-20-1-12-221003-30000000000−i3i3−i3i3000004-44-41-20-1-12-221003-30000000000−i3i3−i3i300000
χ294-44-41-20-1-12-221003-30000000000i3−i3i3−i3000004-44-41-20-1-12-221003-30000000000i3−i3i3−i300000
χ304-44-41-20-1-12-22100-330000000000−i3i3i3−i3000004-44-41-20-1-12-22100-330000000000−i3i3i3−i300000
χ314-44-41-20-1-12-22100-330000000000i3−i3−i3i3000004-44-41-20-1-12-22100-330000000000i3−i3−i3i300000
χ324-44-4440-4-4-44-44000000000000000000000004-44-4440-4-4-44-4400000000000000000000000
χ3388-8-82-40-22-444-20000000000000000000000088-8-82-40-22-444-200000000000000000000000
χ348-88-8-42044-22-2-4000000000000000000000008-88-8-42044-22-2-400000000000000000000000
χ358-8-882-402-244-4-2000000000000000000000008-8-882-402-244-4-200000000000000000000000
χ368-8-88-420-44-2-224000000000000000000000008-8-88-420-44-2-22400000000000000000000000
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
χ3811111111111111111111-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-11111
χ391111111111111111111-111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-11111
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
χ41111111-1111111-1-1-1-11111-1-111-1-111-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111-1-111
χ42111111-1111111-1-1-1-1111-11-111-1-1-1-111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-11-11-1-11111-1-1111-1-1
χ43111111-1111111-1-1-1-111-11-11-1-11111-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-11-11-111-1-1-1-111111-1-1
χ44111111-1111111-1-1-1-111-1-111-1-111-1-111-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-1-111-1-111-1-11-1-111
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
χ472-2-222202-2-2-22-200002-20000000000000002i−2i-222-2-2-20-2222-220000-22000000000000000−2i2i
χ482-2-222202-2-2-22-200002-2000000000000000−2i2i-222-2-2-20-2222-220000-220000000000000002i−2i
χ492-2-222202-2-2-22-20000-2200000000000002i−2i00-222-2-2-20-2222-2200002-20000000000000−2i2i00
χ502-2-222202-2-2-22-20000-220000000000000−2i2i00-222-2-2-20-2222-2200002-200000000000002i−2i00
χ5144441-2411-2-2-21-2-2110002200000-1-1-1-100000-4-4-4-4-12-4-1-1222-122-1-1000-2-200000111100000
χ5244441-2411-2-2-21-2-211000-2-200000111100000-4-4-4-4-12-4-1-1222-122-1-10002200000-1-1-1-100000
χ5344441-2-411-2-2-2122-1-10002-200000-1-11100000-4-4-4-4-124-1-1222-1-2-211000-220000011-1-100000
χ5444441-2-411-2-2-2122-1-1000-220000011-1-100000-4-4-4-4-124-1-1222-1-2-2110002-200000-1-11100000
χ554444-214-2-2111-211-2-2002002-1-1-1-1000000000-4-4-4-42-1-422-1-1-12-1-12200-200-21111000000000
χ564444-214-2-2111-211-2-200-200-21111000000000-4-4-4-42-1-422-1-1-12-1-122002002-1-1-1-1000000000
χ574444-21-4-2-2111-2-1-12200200-2-1-111000000000-4-4-4-42-1422-1-1-1211-2-200-200211-1-1000000000
χ584444-21-4-2-2111-2-1-12200-200211-1-1000000000-4-4-4-42-1422-1-1-1211-2-200200-2-1-111000000000
χ5944-4-4440-444-4-4-400000000000000000000000-4-444-4-404-4-444400000000000000000000000
χ6044-4-4-2102-21-1-123i−3i00000000−i3i33−3000000000-4-4442-10-22-111-2−3i3i00000000i3−i3−33000000000
χ6144-4-4-2102-21-1-123i−3i00000000i3−i3−33000000000-4-4442-10-22-111-2−3i3i00000000−i3i33−3000000000
χ6244-4-4-2102-21-1-12−3i3i00000000−i3i3−33000000000-4-4442-10-22-111-23i−3i00000000i3−i33−3000000000
χ6344-4-4-2102-21-1-12−3i3i00000000i3−i33−3000000000-4-4442-10-22-111-23i−3i00000000−i3i3−33000000000
χ644-44-41-20-1-12-221003-30000000000−i3i3−i3i300000-44-44-12011-22-2-100-330000000000i3−i3i3−i300000
χ654-44-41-20-1-12-221003-30000000000i3−i3i3−i300000-44-44-12011-22-2-100-330000000000−i3i3−i3i300000
χ664-44-41-20-1-12-22100-330000000000−i3i3i3−i300000-44-44-12011-22-2-1003-30000000000i3−i3−i3i300000
χ674-44-41-20-1-12-22100-330000000000i3−i3−i3i300000-44-44-12011-22-2-1003-30000000000−i3i3i3−i300000
χ684-44-4440-4-4-44-4400000000000000000000000-44-44-4-40444-44-400000000000000000000000
χ6988-8-82-40-22-444-200000000000000000000000-8-888-2402-24-4-4200000000000000000000000
χ708-88-8-42044-22-2-400000000000000000000000-88-884-20-4-42-22400000000000000000000000
χ718-8-882-402-244-4-200000000000000000000000-888-8-240-22-4-44200000000000000000000000
χ728-8-88-420-44-2-22400000000000000000000000-888-84-204-422-2-400000000000000000000000

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