Finite Group Databasebeta

← Group #11786217

Character table — Group #11786217

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222444444444444444488888888181818181818181818181818181818181818181818181818242424242424242424242424242424242424242424242424
order122222224444336666666666666612121212121212124444444488888888888888884444444412121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91-1-1111-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ101-1-1111-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111-1-1111-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ121-1-1111-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ131-1-1111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ141-1-1111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ151-1-1111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ161-1-1111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ17222222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000000000000000000000000000
χ19222-22-2-2-200002222-2-22222-2-2-2-2-2-2000000002-200002-20000000022-2-222-2-2000000000000000000000000
χ20222-22-2-2-200002222-2-22222-2-2-2-2-2-2000000002-200002-200000000-2-222-2-222000000000000000000000000
χ21222-22-2-2-200002222-2-22222-2-2-2-2-2-200000000-220000-2222-2-222-2-200000000000000000000000000000000
χ22222-22-2-2-200002222-2-22222-2-2-2-2-2-200000000-220000-22-2-222-2-22200000000000000000000000000000000
χ2322-22-2-22-22-22-222-2-2-2-222-2-22-2222-222-2-222-2-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ2422-22-2-22-22-22-222-2-2-2-222-2-22-2222-222-2-222-2-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ2522-22-2-22-2-22-2222-2-2-2-222-2-22-2222-2-2-222-2-22200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ2622-22-2-22-2-22-2222-2-2-2-222-2-22-2222-2-2-222-2-22200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ2722-2-2-22-22000022-2-22222-2-2-22-2-2-2200000000002-22-200−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000000000000000
χ2822-2-2-22-22000022-2-22222-2-2-22-2-2-2200000000002-22-200i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000000000000000
χ2922-2-2-22-22000022-2-22222-2-2-22-2-2-220000000000-22-2200−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2000000000000000000000000
χ3022-2-2-22-22000022-2-22222-2-2-22-2-2-220000000000-22-2200i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2000000000000000000000000
χ312-222-2-2-222-2-2222-2-2-2-2-2-222-2222-2222-2-2-2-22200000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ322-222-2-2-222-2-2222-2-2-2-2-2-222-2222-2222-2-2-2-22200000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ332-222-2-2-22-222-222-2-2-2-2-2-222-2222-22-2-22222-2-200000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ342-222-2-2-22-222-222-2-2-2-2-2-222-2222-22-2-22222-2-200000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ352-22-2-222-2000022-2-222-2-2222-2-2-22-200000000002-2-2200−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000000000000000
χ362-22-2-222-2000022-2-222-2-2222-2-2-22-200000000002-2-2200i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000000000000000000000
χ372-22-2-222-2000022-2-222-2-2222-2-2-22-20000000000-222-200−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2000000000000000000000000
χ382-22-2-222-2000022-2-222-2-2222-2-2-22-20000000000-222-200i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2000000000000000000000000
χ392-2-2222-2-222-2-2222222-2-2-2-2-2-222-2-22222-2-2-2-222-2-222-2-20000000000000000000000000000000000000000
χ402-2-2222-2-2-2-222222222-2-2-2-2-2-222-2-2-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ412-2-2-22-22200002222-2-2-2-2-2-222-2-222000000002-20000-2222-2-2-2-22200000000000000000000000000000000
χ422-2-2-22-22200002222-2-2-2-2-2-222-2-222000000002-20000-22-2-22222-2-200000000000000000000000000000000
χ432-2-2-22-22200002222-2-2-2-2-2-222-2-22200000000-2200002-20000000022-2-2-2-222000000000000000000000000
χ442-2-2-22-22200002222-2-2-2-2-2-222-2-22200000000-2200002-200000000-2-22222-2-2000000000000000000000000
χ454444444444441-21-21-21-21-21-21-2-211-21-21-21-20000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ464444444444441-21-21-21-21-21-21-2-211-21-21-21-20000000000000000000000000000-2-2-2-20000000011111111
χ47444444444444-21-21-21-21-21-21-211-2-21-21-21-2100000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ48444444444444-21-21-21-21-21-21-211-2-21-21-21-21000000000000000000000000-2-2-2-200001111111100000000
χ4944444444-4-4-4-41-21-21-21-21-21-21-2-21-12-12-12-12000000000000000000000000000022-2-200000000-1-1-1-11111
χ5044444444-4-4-4-41-21-21-21-21-21-21-2-21-12-12-12-120000000000000000000000000000-2-222000000001111-1-1-1-1
χ5144444444-4-4-4-4-21-21-21-21-21-21-211-22-12-12-12-100000000000000000000000022-2-20000-1-1-1-1111100000000
χ5244444444-4-4-4-4-21-21-21-21-21-21-211-22-12-12-12-1000000000000000000000000-2-22200001111-1-1-1-100000000
χ5344-44-4-44-44-44-41-2-12-121-2-12121-2-2-11-2-121-2-1200000000000000000000000000000000000000003−33−33−33−3
χ5444-44-4-44-44-44-41-2-12-121-2-12121-2-2-11-2-121-2-120000000000000000000000000000000000000000−33−33−33−33
χ5544-44-4-44-44-44-4-212-12-1-212-1-2-1-2112-212-1-212-100000000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ5644-44-4-44-44-44-4-212-12-1-212-1-2-1-2112-212-1-212-100000000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ5744-44-4-44-4-44-441-2-12-121-2-12121-2-2-1-121-2-121-200000000000000000000000000000000000000003−33−3−33−33
χ5844-44-4-44-4-44-441-2-12-121-2-12121-2-2-1-121-2-121-20000000000000000000000000000000000000000−33−333−33−3
χ5944-44-4-44-4-44-44-212-12-1-212-1-2-1-21122-1-212-1-2100000000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ6044-44-4-44-4-44-44-212-12-1-212-1-2-1-21122-1-212-1-2100000000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ614-444-4-4-444-4-441-2-12-12-121-2-1-21-2211-2-12-121-20000000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i3
χ624-444-4-4-444-4-441-2-12-12-121-2-1-21-2211-2-12-121-20000000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i3
χ634-444-4-4-444-4-44-212-12-12-1-2121-21-1-2-212-12-1-21000000000000000000000000000000003−3−333−3−3300000000
χ644-444-4-4-444-4-44-212-12-12-1-2121-21-1-2-212-12-1-2100000000000000000000000000000000−333−3−333−300000000
χ654-444-4-4-44-444-41-2-12-12-121-2-1-21-221-121-21-2-120000000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i3
χ664-444-4-4-44-444-41-2-12-12-121-2-1-21-221-121-21-2-120000000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i3
χ674-444-4-4-44-444-4-212-12-12-1-2121-21-1-22-1-21-212-1000000000000000000000000000000003−3−33−333−300000000
χ684-444-4-4-44-444-4-212-12-12-1-2121-21-1-22-1-21-212-100000000000000000000000000000000−333−33−3−3300000000
χ694-4-4444-4-444-4-41-21-21-2-12-12-121-22-11-21-2-12-1200000000000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ704-4-4444-4-444-4-41-21-21-2-12-12-121-22-11-21-2-12-120000000000000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ714-4-4444-4-444-4-4-21-21-212-12-12-1-21-12-21-212-12-10000000000000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ724-4-4444-4-444-4-4-21-21-212-12-12-1-21-12-21-212-12-1000000000000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ734-4-4444-4-4-4-4441-21-21-2-12-12-121-22-1-12-121-21-200000000000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ744-4-4444-4-4-4-4441-21-21-2-12-12-121-22-1-12-121-21-20000000000000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ754-4-4444-4-4-4-444-21-21-212-12-12-1-21-122-12-1-21-210000000000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ764-4-4444-4-4-4-444-21-21-212-12-12-1-21-122-12-1-21-21000000000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ77888-88-8-8-800002-42-4-242-42-4-24-244-200000000000000000000000000000000000000000000000000000000
χ78888-88-8-8-80000-42-424-2-42-424-24-2-2400000000000000000000000000000000000000000000000000000000
χ7988-8-8-88-8800002-4-242-42-4-24-2-4-244200000000000000000000000000000000000000000000000000000000
χ8088-8-8-88-880000-424-2-42-424-2424-2-2-400000000000000000000000000000000000000000000000000000000
χ818-88-8-888-800002-4-242-4-242-424-24-4-200000000000000000000000000000000000000000000000000000000
χ828-88-8-888-80000-424-2-424-2-42-4-24-22400000000000000000000000000000000000000000000000000000000
χ838-8-8-88-88800002-42-4-24-24-242-4-24-4200000000000000000000000000000000000000000000000000000000
χ848-8-8-88-8880000-42-424-24-24-2-424-22-400000000000000000000000000000000000000000000000000000000

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