Finite Group Databasebeta

← Group #11866987

Character table — Group #11866987

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11114444444448888181824242424242424242424242436363636361111444444444888818182424242424242424242424243636363636
order1222334666666121212124422446666121212122888822226646666661212121244224466661212121228888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-11-111-1-111-1-11-1-1-1-111111111111111111111-11-111-1-111-1-11-1-1-1-1
χ31111111111111111111-11-11-1-111-1-1111-1-1-1-11111111111111111111-11-11-1-111-1-1111-1-1-1-1
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
χ5111111-1111111-1-1-1-11111-1-11111-1-1-1-1-111-1-1111111-1111111-1-1-1-11111-1-11111-1-1-1-1-111-1-1
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
χ8111111-1111111-1-1-1-111-1-111-1-1-1-11111-111-1-1111111-1111111-1-1-1-111-1-111-1-1-1-11111-111-1-1
χ922222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-20000
χ10222222-2222222-2-2-2-2-2-200000000000020000222222-2222222-2-2-2-2-2-200000000000020000
χ112-2-22220-2-222-2-200002-20000000000000002i−2i2-2-22220-2-222-2-200002-20000000000000002i−2i
χ122-2-22220-2-222-2-200002-2000000000000000−2i2i2-2-22220-2-222-2-200002-2000000000000000−2i2i
χ132-2-22220-2-222-2-20000-2200000000000002-2002-2-22220-2-222-2-20000-2200000000000002-200
χ142-2-22220-2-222-2-20000-220000000000000-22002-2-22220-2-222-2-20000-220000000000000-2200
χ1544441-241-21-21-211-2-200020200-1-100-1-10000044441-241-21-21-211-2-200020200-1-100-1-100000
χ1644441-241-21-21-211-2-2000-20-2001100110000044441-241-21-21-211-2-2000-20-20011001100000
χ1744441-2-41-21-21-2-1-12200020-200-1-100110000044441-2-41-21-21-2-1-12200020-200-1-1001100000
χ1844441-2-41-21-21-2-1-122000-202001100-1-10000044441-2-41-21-21-2-1-122000-202001100-1-100000
χ194444-214-21-21-21-2-211002020-1-100-1-100000004444-214-21-21-21-2-211002020-1-100-1-10000000
χ204444-214-21-21-21-2-21100-20-2011001100000004444-214-21-21-21-2-21100-20-201100110000000
χ214444-21-4-21-21-2122-1-10020-20-1-1001100000004444-21-4-21-21-2122-1-10020-20-1-100110000000
χ224444-21-4-21-21-2122-1-100-20201100-1-100000004444-21-4-21-21-2122-1-100-20201100-1-10000000
χ2344-4-41-2012-12-1-23i−3i0000000000−i3i3003−30000044-4-41-2012-12-1-23i−3i0000000000−i3i3003−300000
χ2444-4-41-2012-12-1-23i−3i0000000000i3−i300−330000044-4-41-2012-12-1-23i−3i0000000000i3−i300−3300000
χ2544-4-41-2012-12-1-2−3i3i0000000000−i3i300−330000044-4-41-2012-12-1-2−3i3i0000000000−i3i300−3300000
χ2644-4-41-2012-12-1-2−3i3i0000000000i3−i3003−30000044-4-41-2012-12-1-2−3i3i0000000000i3−i3003−300000
χ2744-4-44404-4-4-4-440000000000000000000000044-4-44404-4-4-4-4400000000000000000000000
χ284-44-4440-44-4-44-4000000000000000000000004-44-4440-44-4-44-400000000000000000000000
χ294-44-4-210212-1-2-1003i−3i000000−i3i3003−300000004-44-4-210212-1-2-1003i−3i000000−i3i3003−30000000
χ304-44-4-210212-1-2-1003i−3i000000i3−i300−3300000004-44-4-210212-1-2-1003i−3i000000i3−i300−330000000
χ314-44-4-210212-1-2-100−3i3i000000−i3i300−3300000004-44-4-210212-1-2-100−3i3i000000−i3i300−330000000
χ324-44-4-210212-1-2-100−3i3i000000i3−i3003−300000004-44-4-210212-1-2-100−3i3i000000i3−i3003−30000000
χ3388-8-8-420-4-24-2420000000000000000000000088-8-8-420-4-24-24200000000000000000000000
χ348-88-82-40-2-4-2424000000000000000000000008-88-82-40-2-4-242400000000000000000000000
χ358-8-882-40-242-4-24000000000000000000000008-8-882-40-242-4-2400000000000000000000000
χ368-8-88-4204-2-424-2000000000000000000000008-8-88-4204-2-424-200000000000000000000000
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
χ3811111111111111111111-11-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11111
χ391111111111111111111-11-11-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-11111
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
χ41111111-1111111-1-1-1-11111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-1-111
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
χ44111111-1111111-1-1-1-111-1-111-1-1-1-11111-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-1-111
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
χ472-2-22220-2-222-2-200002-20000000000000002i−2i-222-2-2-2022-2-2220000-22000000000000000−2i2i
χ482-2-22220-2-222-2-200002-2000000000000000−2i2i-222-2-2-2022-2-2220000-220000000000000002i−2i
χ492-2-22220-2-222-2-20000-2200000000000002-200-222-2-2-2022-2-22200002-20000000000000-2200
χ502-2-22220-2-222-2-20000-220000000000000-2200-222-2-2-2022-2-22200002-200000000000002-200
χ5144441-241-21-21-211-2-200020200-1-100-1-100000-4-4-4-4-12-4-12-12-12-1-122000-20-20011001100000
χ5244441-241-21-21-211-2-2000-20-20011001100000-4-4-4-4-12-4-12-12-12-1-12200020200-1-100-1-100000
χ5344441-2-41-21-21-2-1-12200020-200-1-1001100000-4-4-4-4-124-12-12-1211-2-2000-202001100-1-100000
χ5444441-2-41-21-21-2-1-122000-202001100-1-100000-4-4-4-4-124-12-12-1211-2-200020-200-1-1001100000
χ554444-214-21-21-21-2-211002020-1-100-1-10000000-4-4-4-42-1-42-12-12-122-1-100-20-201100110000000
χ564444-214-21-21-21-2-21100-20-201100110000000-4-4-4-42-1-42-12-12-122-1-1002020-1-100-1-10000000
χ574444-21-4-21-21-2122-1-10020-20-1-100110000000-4-4-4-42-142-12-12-1-2-21100-20201100-1-10000000
χ584444-21-4-21-21-2122-1-100-20201100-1-10000000-4-4-4-42-142-12-12-1-2-2110020-20-1-100110000000
χ5944-4-41-2012-12-1-23i−3i0000000000−i3i3003−300000-4-444-120-1-21-212−3i3i0000000000i3−i300−3300000
χ6044-4-41-2012-12-1-23i−3i0000000000i3−i300−3300000-4-444-120-1-21-212−3i3i0000000000−i3i3003−300000
χ6144-4-41-2012-12-1-2−3i3i0000000000−i3i300−3300000-4-444-120-1-21-2123i−3i0000000000i3−i3003−300000
χ6244-4-41-2012-12-1-2−3i3i0000000000i3−i3003−300000-4-444-120-1-21-2123i−3i0000000000−i3i300−3300000
χ6344-4-44404-4-4-4-4400000000000000000000000-4-444-4-40-44444-400000000000000000000000
χ644-44-4440-44-4-44-400000000000000000000000-44-44-4-404-444-4400000000000000000000000
χ654-44-4-210212-1-2-1003i−3i000000−i3i3003−30000000-44-442-10-2-1-212100−3i3i000000i3−i300−330000000
χ664-44-4-210212-1-2-1003i−3i000000i3−i300−330000000-44-442-10-2-1-212100−3i3i000000−i3i3003−30000000
χ674-44-4-210212-1-2-100−3i3i000000−i3i300−330000000-44-442-10-2-1-2121003i−3i000000i3−i3003−30000000
χ684-44-4-210212-1-2-100−3i3i000000i3−i3003−30000000-44-442-10-2-1-2121003i−3i000000−i3i300−330000000
χ6988-8-8-420-4-24-24200000000000000000000000-8-8884-2042-42-4-200000000000000000000000
χ708-88-82-40-2-4-242400000000000000000000000-88-88-240242-4-2-400000000000000000000000
χ718-8-882-40-242-4-2400000000000000000000000-888-8-2402-4-242-400000000000000000000000
χ728-8-88-4204-2-424-200000000000000000000000-888-84-20-424-2-4200000000000000000000000

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