Finite Group Databasebeta

← Group #11790628

Character table — Group #11790628

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
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91-1-1-111-1111-1-111111-1-1-1-1-1-1-1111-11111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i1-11-1ii−i−iii−i−i11-1-111-1-1
χ101-1-1-111-1111-1-111111-1-1-1-1-1-1-1111-11111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii-11-11−i−iii−i−iii-1-111-1-111
χ111-1-1-111-1111-1-111111-1-1-1-1-1-1-1111-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−i-11-11ii−i−iii−i−i-1-111-1-111
χ121-1-1-111-1111-1-111111-1-1-1-1-1-1-1111-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii1-11-1−i−iii−i−iii11-1-111-1-1
χ131-1-1-111-11-1-11111111-1-1-1-1-1-1-1111-1-1-1-1-11111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111
χ141-1-1-111-11-1-11111111-1-1-1-1-1-1-1111-1-1-1-1-11111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−iii−i-111-1−i−iiiii−i−i-1-11111-1-1
χ151-1-1-111-11-1-11111111-1-1-1-1-1-1-1111-1-1-1-1-11111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-111-1ii−i−i−i−iii-1-11111-1-1
χ161-1-1-111-11-1-11111111-1-1-1-1-1-1-1111-1-1-1-1-11111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111
χ17222222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ19222-22-2-2-22-22-222-2-2-22222-2-2-222-2-222-2-222-2-20000000022−2−222−2−222−2−222−2−2000000000000000000000000
χ20222-22-2-2-22-22-222-2-2-22222-2-2-222-2-222-2-222-2-200000000−2−222−2−222−2−222−2−222000000000000000000000000
χ21222-22-2-2-2-22-2222-2-2-22222-2-2-222-2-2-2-222-2-2220000000022−2−222−2−2−2−222−2−222000000000000000000000000
χ22222-22-2-2-2-22-2222-2-2-22222-2-2-222-2-2-2-222-2-22200000000−2−222−2−22222−2−222−2−2000000000000000000000000
χ2322-22-22-2-200002222-222-2-222-2-2-2-2-2000000002-22-200002−22−22−22−22−22−22−22−2000000000000000000000000
χ2422-22-22-2-200002222-222-2-222-2-2-2-2-2000000002-22-20000−22−22−22−22−22−22−22−22000000000000000000000000
χ2522-22-22-2-200002222-222-2-222-2-2-2-2-200000000-22-2200002−22−22−22−2−22−22−22−22000000000000000000000000
χ2622-22-22-2-200002222-222-2-222-2-2-2-2-200000000-22-220000−22−22−22−222−22−22−22−2000000000000000000000000
χ2722-2-2-2-222000022-2-2222-2-2-2-22-2-2220000000000002-22-2000000002-2-222-2-22000000000000000000000000
χ2822-2-2-2-222000022-2-2222-2-2-2-22-2-2220000000000002-22-200000000-222-2-222-2000000000000000000000000
χ2922-2-2-2-222000022-2-2222-2-2-2-22-2-222000000000000-22-222-2-222-2-2200000000000000000000000000000000
χ3022-2-2-2-222000022-2-2222-2-2-2-22-2-222000000000000-22-22-222-2-222-200000000000000000000000000000000
χ312-222-2-2-22000022-2-22-2-22222-2-2-22-20000000000002-2-22000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ322-222-2-2-22000022-2-22-2-22222-2-2-22-20000000000002-2-2200000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ332-222-2-2-22000022-2-22-2-22222-2-2-22-2000000000000-222-22i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ342-222-2-2-22000022-2-22-2-22222-2-2-22-2000000000000-222-2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ352-22-2-222-200002222-2-2-222-2-22-2-2-22000000002-2-220000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ362-22-2-222-200002222-2-2-222-2-22-2-2-22000000002-2-220000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ372-22-2-222-200002222-2-2-222-2-22-2-2-2200000000-222-20000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ382-22-2-222-200002222-2-2-222-2-22-2-2-2200000000-222-20000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ392-2-222-22-22-2-2222-2-2-2-2-2-2-222222-2222-2-2-2-22200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ402-2-222-22-22-2-2222-2-2-2-2-2-2-222222-2222-2-2-2-22200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ412-2-222-22-2-222-222-2-2-2-2-2-2-222222-22-2-22222-2-200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ422-2-222-22-2-222-222-2-2-2-2-2-2-222222-22-2-22222-2-200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ432-2-2-222-2222-2-222222-2-2-2-2-2-2-2222-22222-2-2-2-2-2-222-2-2220000000000000000000000000000000000000000
χ442-2-2-222-22-2-22222222-2-2-2-2-2-2-2222-2-2-2-2-2222222-2-2-2-2220000000000000000000000000000000000000000
χ454444444444441-21-211-21-21-2-21-2-211-21-21-21-200000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ464444444444441-21-211-21-21-2-21-2-211-21-21-21-2000000000000000000000000-2-2-2-200001111111100000000
χ47444444444444-21-21-2-21-21-211-211-2-21-21-21-210000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ48444444444444-21-21-2-21-21-211-211-2-21-21-21-210000000000000000000000000000-2-2-2-20000000011111111
χ4944444444-4-4-4-41-21-211-21-21-2-21-2-21-12-12-12-1200000000000000000000000022-2-20000-1-1-1-1111100000000
χ5044444444-4-4-4-41-21-211-21-21-2-21-2-21-12-12-12-12000000000000000000000000-2-22200001111-1-1-1-100000000
χ5144444444-4-4-4-4-21-21-2-21-21-211-211-22-12-12-12-1000000000000000000000000000022-2-200000000-1-1-1-11111
χ5244444444-4-4-4-4-21-21-2-21-21-211-211-22-12-12-12-10000000000000000000000000000-2-222000000001111-1-1-1-1
χ53444-44-4-4-44-44-41-2-12-11-21-2-1221-22-11-2-121-2-12000000000000000000000000000000003−33−33−33−300000000
χ54444-44-4-4-44-44-41-2-12-11-21-2-1221-22-11-2-121-2-1200000000000000000000000000000000−33−33−33−3300000000
χ55444-44-4-4-44-44-4-212-12-21-212-1-1-21-12-212-1-212-100000000000000000000000000000000000000003−33−33−33−3
χ56444-44-4-4-44-44-4-212-12-21-212-1-1-21-12-212-1-212-10000000000000000000000000000000000000000−33−33−33−33
χ57444-44-4-4-4-44-441-2-12-11-21-2-1221-22-1-121-2-121-2000000000000000000000000000000003−33−3−33−3300000000
χ58444-44-4-4-4-44-441-2-12-11-21-2-1221-22-1-121-2-121-200000000000000000000000000000000−33−333−33−300000000
χ59444-44-4-4-4-44-44-212-12-21-212-1-1-21-122-1-212-1-2100000000000000000000000000000000000000003−33−3−33−33
χ60444-44-4-4-4-44-44-212-12-21-212-1-1-21-122-1-212-1-210000000000000000000000000000000000000000−33−333−33−3
χ614-4-444-44-44-4-441-2-12-1-12-121-2-21-2211-2-12-121-200000000000000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ624-4-444-44-44-4-441-2-12-1-12-121-2-21-2211-2-12-121-200000000000000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ634-4-444-44-44-4-44-212-122-12-1-211-21-1-2-212-12-1-2100000000000000000000000000000000000000003−3−333−3−33
χ644-4-444-44-44-4-44-212-122-12-1-211-21-1-2-212-12-1-210000000000000000000000000000000000000000−333−3−333−3
χ654-4-444-44-4-444-41-2-12-1-12-121-2-21-221-121-21-2-1200000000000000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ664-4-444-44-4-444-41-2-12-1-12-121-2-21-221-121-21-2-1200000000000000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ674-4-444-44-4-444-4-212-122-12-1-211-21-1-22-1-21-212-100000000000000000000000000000000000000003−3−33−333−3
χ684-4-444-44-4-444-4-212-122-12-1-211-21-1-22-1-21-212-10000000000000000000000000000000000000000−333−33−3−33
χ694-4-4-444-4444-4-41-21-21-12-12-1221-2-2-11-21-2-12-120000000000000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ704-4-4-444-4444-4-41-21-21-12-12-1221-2-2-11-21-2-12-12000000000000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ714-4-4-444-4444-4-4-21-21-22-12-12-1-1-2112-21-212-12-100000000000000000000000000002-22-200000000-1-111-1-111
χ724-4-4-444-4444-4-4-21-21-22-12-12-1-1-2112-21-212-12-10000000000000000000000000000-22-220000000011-1-111-1-1
χ734-4-4-444-44-4-4441-21-21-12-12-1221-2-2-1-12-121-21-20000000000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ744-4-4-444-44-4-4441-21-21-12-12-1221-2-2-1-12-121-21-2000000000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ754-4-4-444-44-4-444-21-21-22-12-12-1-1-21122-12-1-21-2100000000000000000000000000002-2-2200000000-1-11111-1-1
χ764-4-4-444-44-4-444-21-21-22-12-12-1-1-21122-12-1-21-210000000000000000000000000000-222-20000000011-1-1-1-111
χ7788-88-88-8-800002-42-4-22-4-242-44-244-200000000000000000000000000000000000000000000000000000000
χ7888-88-88-8-80000-42-424-424-2-42-24-2-2400000000000000000000000000000000000000000000000000000000
χ7988-8-8-8-88800002-4-2422-4-24-24-4-24-4200000000000000000000000000000000000000000000000000000000
χ8088-8-8-8-8880000-424-2-4-424-24-224-22-400000000000000000000000000000000000000000000000000000000
χ818-888-8-8-8800002-4-242-242-42-44-24-4-200000000000000000000000000000000000000000000000000000000
χ828-888-8-8-880000-424-2-44-2-42-42-24-22400000000000000000000000000000000000000000000000000000000
χ838-88-8-888-800002-42-4-2-242-4-24-4-244200000000000000000000000000000000000000000000000000000000
χ848-88-8-888-80000-42-4244-2-424-224-2-2-400000000000000000000000000000000000000000000000000000000

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