Finite Group Databasebeta

← Group #11873557

Character table — Group #11873557

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11114444444448888181824242424242424242424242436363636361111444444444888818182424242424242424242424243636363636
order12223346666661212121244244466121212121212488882222664666666121212124424446612121212121248888
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
χ5111111-1111111-1-1-1-1111-11-111-1-111-1-1-111-1-1111111-1111111-1-1-1-1111-11-111-1-111-1-1-111-1-1
χ6111111-1111111-1-1-1-1111-1-1111-1-1-1-111-1-1-111111111-1111111-1-1-1-1111-1-1111-1-1-1-111-1-1-111
χ7111111-1111111-1-1-1-111-111-1-1-11111-1-1-1-1-111111111-1111111-1-1-1-111-111-1-1-11111-1-1-1-1-111
χ8111111-1111111-1-1-1-111-11-11-1-111-1-111-111-1-1111111-1111111-1-1-1-111-11-11-1-111-1-111-111-1-1
χ922222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-20000
χ10222222-2222222-2-2-2-2-2-200000000000020000222222-2222222-2-2-2-2-2-200000000000020000
χ112-22-22202-2-2-22-200002-20000000000000002i−2i2-22-22202-2-2-22-200002-20000000000000002i−2i
χ122-22-22202-2-2-22-200002-2000000000000000−2i2i2-22-22202-2-2-22-200002-2000000000000000−2i2i
χ132-22-22202-2-2-22-20000-2200000000000002i−2i002-22-22202-2-2-22-20000-2200000000000002i−2i00
χ142-22-22202-2-2-22-20000-220000000000000−2i2i002-22-22202-2-2-22-20000-220000000000000−2i2i00
χ1544441-241-21-2-2111-2-20000220000-1-1-1-10000044441-241-21-2-2111-2-20000220000-1-1-1-100000
χ1644441-241-21-2-2111-2-20000-2-2000011110000044441-241-21-2-2111-2-20000-2-20000111100000
χ1744441-2-41-21-2-21-1-12200002-20000-1-1110000044441-2-41-21-2-21-1-12200002-20000-1-11100000
χ1844441-2-41-21-2-21-1-1220000-22000011-1-10000044441-2-41-21-2-21-1-1220000-22000011-1-100000
χ194444-214-21-211-2-2-211002200-1-1-1-10000000004444-214-21-211-2-2-211002200-1-1-1-1000000000
χ204444-214-21-211-2-2-21100-2-20011110000000004444-214-21-211-2-2-21100-2-2001111000000000
χ214444-21-4-21-211-222-1-1002-200-1-1110000000004444-21-4-21-211-222-1-1002-200-1-111000000000
χ224444-21-4-21-211-222-1-100-220011-1-10000000004444-21-4-21-211-222-1-100-220011-1-1000000000
χ2344-4-41-20-121-22-13-30000000000003−33−30000044-4-41-20-121-22-13-30000000000003−33−300000
χ2444-4-41-20-121-22-13-3000000000000−33−330000044-4-41-20-121-22-13-3000000000000−33−3300000
χ2544-4-41-20-121-22-1-330000000000003−3−330000044-4-41-20-121-22-1-330000000000003−3−3300000
χ2644-4-41-20-121-22-1-33000000000000−333−30000044-4-41-20-121-22-1-33000000000000−333−300000
χ2744-4-4440-4-444-4-40000000000000000000000044-4-4440-4-444-4-400000000000000000000000
χ284-4-44440-44-4-4-44000000000000000000000004-4-44440-44-4-4-4400000000000000000000000
χ294-4-44-210212-1-1-2003i−3i000000−i3i33−30000000004-4-44-210212-1-1-2003i−3i000000−i3i33−3000000000
χ304-4-44-210212-1-1-2003i−3i000000i3−i3−330000000004-4-44-210212-1-1-2003i−3i000000i3−i3−33000000000
χ314-4-44-210212-1-1-200−3i3i000000−i3i3−330000000004-4-44-210212-1-1-200−3i3i000000−i3i3−33000000000
χ324-4-44-210212-1-1-200−3i3i000000i3−i33−30000000004-4-44-210212-1-1-200−3i3i000000i3−i33−3000000000
χ3388-8-8-4204-2-42-240000000000000000000000088-8-8-4204-2-42-2400000000000000000000000
χ348-88-82-4024-24-4-2000000000000000000000008-88-82-4024-24-4-200000000000000000000000
χ358-88-8-420-4-24-224000000000000000000000008-88-8-420-4-24-22400000000000000000000000
χ368-8-882-40-2-4-2442000000000000000000000008-8-882-40-2-4-244200000000000000000000000
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
χ41111111-1111111-1-1-1-1111-11-111-1-111-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-11-11-1-111-1-1111-1-111
χ42111111-1111111-1-1-1-1111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-111-1-1-11111-1-1111-1-1
χ43111111-1111111-1-1-1-111-111-1-1-11111-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-11-1-1111-1-1-1-111111-1-1
χ44111111-1111111-1-1-1-111-11-11-1-111-1-111-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11-11-111-1-111-1-11-1-111
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
χ472-22-22202-2-2-22-200002-20000000000000002i−2i-22-22-2-20-2222-220000-22000000000000000−2i2i
χ482-22-22202-2-2-22-200002-2000000000000000−2i2i-22-22-2-20-2222-220000-220000000000000002i−2i
χ492-22-22202-2-2-22-20000-2200000000000002i−2i00-22-22-2-20-2222-2200002-20000000000000−2i2i00
χ502-22-22202-2-2-22-20000-220000000000000−2i2i00-22-22-2-20-2222-2200002-200000000000002i−2i00
χ5144441-241-21-2-2111-2-20000220000-1-1-1-100000-4-4-4-4-12-4-12-122-1-1-1220000-2-20000111100000
χ5244441-241-21-2-2111-2-20000-2-20000111100000-4-4-4-4-12-4-12-122-1-1-1220000220000-1-1-1-100000
χ5344441-2-41-21-2-21-1-12200002-20000-1-11100000-4-4-4-4-124-12-122-111-2-20000-22000011-1-100000
χ5444441-2-41-21-2-21-1-1220000-22000011-1-100000-4-4-4-4-124-12-122-111-2-200002-20000-1-11100000
χ554444-214-21-211-2-2-211002200-1-1-1-1000000000-4-4-4-42-1-42-12-1-1222-1-100-2-2001111000000000
χ564444-214-21-211-2-2-21100-2-2001111000000000-4-4-4-42-1-42-12-1-1222-1-1002200-1-1-1-1000000000
χ574444-21-4-21-211-222-1-1002-200-1-111000000000-4-4-4-42-142-12-1-12-2-21100-220011-1-1000000000
χ584444-21-4-21-211-222-1-100-220011-1-1000000000-4-4-4-42-142-12-1-12-2-211002-200-1-111000000000
χ5944-4-41-20-121-22-13-30000000000003−33−300000-4-444-1201-2-12-21-33000000000000−33−3300000
χ6044-4-41-20-121-22-13-3000000000000−33−3300000-4-444-1201-2-12-21-330000000000003−33−300000
χ6144-4-41-20-121-22-1-330000000000003−3−3300000-4-444-1201-2-12-213-3000000000000−333−300000
χ6244-4-41-20-121-22-1-33000000000000−333−300000-4-444-1201-2-12-213-30000000000003−3−3300000
χ6344-4-4440-4-444-4-400000000000000000000000-4-444-4-4044-4-44400000000000000000000000
χ644-4-44440-44-4-4-4400000000000000000000000-444-4-4-404-4444-400000000000000000000000
χ654-4-44-210212-1-1-2003i−3i000000−i3i33−3000000000-444-42-10-2-1-211200−3i3i000000i3−i3−33000000000
χ664-4-44-210212-1-1-2003i−3i000000i3−i3−33000000000-444-42-10-2-1-211200−3i3i000000−i3i33−3000000000
χ674-4-44-210212-1-1-200−3i3i000000−i3i3−33000000000-444-42-10-2-1-2112003i−3i000000i3−i33−3000000000
χ684-4-44-210212-1-1-200−3i3i000000i3−i33−3000000000-444-42-10-2-1-2112003i−3i000000−i3i3−33000000000
χ6988-8-8-4204-2-42-2400000000000000000000000-8-8884-20-424-22-400000000000000000000000
χ708-88-82-4024-24-4-200000000000000000000000-88-88-240-2-42-44200000000000000000000000
χ718-88-8-420-4-24-22400000000000000000000000-88-884-2042-42-2-400000000000000000000000
χ728-8-882-40-2-4-244200000000000000000000000-888-8-240242-4-4-200000000000000000000000

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