Finite Group Databasebeta

← Group #11785359

Character table — Group #11785359

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222444444444444444488888888181818181818181818181818181818181818181818181818242424242424242424242424242424242424242424242424
order1222222222223366666666666666666666664444444488888888888888884444444412121212121212121212121212121212
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
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ9111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-111111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ10111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-111111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ11111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-11-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ12111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-11-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ13111-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ14111-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ15111-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ16111-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ17222222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-22222-20000000000000000000000000000000000000000
χ19222-2-2-2-2222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-222-2-222-20000000000000000000000000000000000000000
χ20222-2-2-2-22-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22222-22222-2-2-20000000000000000000000000000000000000000
χ2122-222-2-2-200002222-2-2-2-222-2-222-2-2000000000002i−2i2i−2i022−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ2222-222-2-2-200002222-2-2-2-222-2-222-2-2000000000002i−2i2i−2i0−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ2322-222-2-2-200002222-2-2-2-222-2-222-2-200000000000−2i2i−2i2i022−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ2422-222-2-2-200002222-2-2-2-222-2-222-2-200000000000−2i2i−2i2i0−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ2522-2-2-222-200002222-2-2-2-2-2-222-2-222000000000002i−2i−2i2i022−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ2622-2-2-222-200002222-2-2-2-2-2-222-2-222000000000002i−2i−2i2i0−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ2722-2-2-222-200002222-2-2-2-2-2-222-2-22200000000000−2i2i2i−2i022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ2822-2-2-222-200002222-2-2-2-2-2-222-2-22200000000000−2i2i2i−2i0−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ292-222-22-2-22-22-222-2-222-2-22-22-22-22-222-2-222-2-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ302-222-22-2-22-22-222-2-222-2-22-22-22-22-222-2-222-2-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ312-222-22-2-2-22-2222-2-222-2-22-22-22-22-2-2-222-2-22200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ322-222-22-2-2-22-2222-2-222-2-22-22-22-22-2-2-222-2-22200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ332-22-22-22-22-2-2222-2-222-2-2-22-22-22-2222-2-2-2-22200000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ342-22-22-22-22-2-2222-2-222-2-2-22-22-22-2222-2-2-2-22200000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ352-22-22-22-2-222-222-2-222-2-2-22-22-22-22-2-22222-2-200000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ362-22-22-22-2-222-222-2-222-2-2-22-22-22-22-2-22222-2-200000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ372-2-22-2-222000022-2-2-2-2222-2-222-2-220000000022-20000-22i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ382-2-22-2-222000022-2-2-2-2222-2-222-2-220000000022-20000-2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ392-2-22-2-222000022-2-2-2-2222-2-222-2-2200000000-2-2200002000000002-2-222-2-22000000000000000000000000
χ402-2-22-2-222000022-2-2-2-2222-2-222-2-2200000000-2-220000200000000-222-2-222-2000000000000000000000000
χ412-2-2-222-22000022-2-2-2-222-222-2-222-2000000002-220000-22i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ422-2-2-222-22000022-2-2-2-222-222-2-222-2000000002-220000-2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ432-2-2-222-22000022-2-2-2-222-222-2-222-200000000-22-200002000000002-2-22-222-2000000000000000000000000
χ442-2-2-222-22000022-2-2-2-222-222-2-222-200000000-22-20000200000000-222-22-2-22000000000000000000000000
χ454444444444441-21-21-21-21-21-2-21-211-21-21-21-20000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ464444444444441-21-21-21-21-21-2-21-211-21-21-21-20000000000000000000000000000-2-2-2-20000000011111111
χ47444444444444-21-21-21-21-21-211-21-2-21-21-21-2100000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ48444444444444-21-21-21-21-21-211-21-2-21-21-21-21000000000000000000000000-2-2-2-200001111111100000000
χ4944444444-4-4-4-41-21-21-21-21-21-2-21-21-12-12-12-12000000000000000000000000000022-2-200000000-1-1-1-11111
χ5044444444-4-4-4-41-21-21-21-21-21-2-21-21-12-12-12-120000000000000000000000000000-2-222000000001111-1-1-1-1
χ5144444444-4-4-4-4-21-21-21-21-21-211-21-22-12-12-12-100000000000000000000000022-2-20000-1-1-1-1111100000000
χ5244444444-4-4-4-4-21-21-21-21-21-211-21-22-12-12-12-1000000000000000000000000-2-22200001111-1-1-1-100000000
χ53444-4-4-4-4444-4-41-21-21-21-2-12-122-12-11-21-2-12-1200000000000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ54444-4-4-4-4444-4-41-21-21-21-2-12-122-12-11-21-2-12-120000000000000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ55444-4-4-4-4444-4-4-21-21-21-212-12-1-12-12-21-212-12-10000000000000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ56444-4-4-4-4444-4-4-21-21-21-212-12-1-12-12-21-212-12-1000000000000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ57444-4-4-4-44-4-4441-21-21-21-2-12-122-12-1-12-121-21-200000000000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ58444-4-4-4-44-4-4441-21-21-21-2-12-122-12-1-12-121-21-20000000000000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ59444-4-4-4-44-4-444-21-21-21-212-12-1-12-122-12-1-21-210000000000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ60444-4-4-4-44-4-444-21-21-21-212-12-1-12-122-12-1-21-21000000000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ614-444-44-4-44-44-41-2-121-2-121212-2-1-2-11-2-121-2-1200000000000000000000000000000000000000003−33−33−33−3
χ624-444-44-4-44-44-41-2-121-2-121212-2-1-2-11-2-121-2-120000000000000000000000000000000000000000−33−33−33−33
χ634-444-44-4-44-44-4-212-1-212-1-2-1-2-11212-212-1-212-100000000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ644-444-44-4-44-44-4-212-1-212-1-2-1-2-11212-212-1-212-100000000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ654-444-44-4-4-44-441-2-121-2-121212-2-1-2-1-121-2-121-200000000000000000000000000000000000000003−33−3−33−33
χ664-444-44-4-4-44-441-2-121-2-121212-2-1-2-1-121-2-121-20000000000000000000000000000000000000000−33−333−33−3
χ674-444-44-4-4-44-44-212-1-212-1-2-1-2-112122-1-212-1-2100000000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ684-444-44-4-4-44-44-212-1-212-1-2-1-2-112122-1-212-1-2100000000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ694-44-44-44-44-4-441-2-121-2-12-1-2-1-221211-2-12-121-20000000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i3
χ704-44-44-44-44-4-441-2-121-2-12-1-2-1-221211-2-12-121-20000000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i3
χ714-44-44-44-44-4-44-212-1-212-12121-1-2-1-2-212-12-1-21000000000000000000000000000000003−3−333−3−3300000000
χ724-44-44-44-44-4-44-212-1-212-12121-1-2-1-2-212-12-1-2100000000000000000000000000000000−333−3−333−300000000
χ734-44-44-44-4-444-41-2-121-2-12-1-2-1-22121-121-21-2-120000000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i3
χ744-44-44-44-4-444-41-2-121-2-12-1-2-1-22121-121-21-2-120000000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i3
χ754-44-44-44-4-444-4-212-1-212-12121-1-2-1-22-1-21-212-1000000000000000000000000000000003−3−33−333−300000000
χ764-44-44-44-4-444-4-212-1-212-12121-1-2-1-22-1-21-212-100000000000000000000000000000000−333−33−3−3300000000
χ7788-888-8-8-800002-42-4-24-242-4-24-424-200000000000000000000000000000000000000000000000000000000
χ7888-888-8-8-80000-42-424-24-2-424-22-4-2400000000000000000000000000000000000000000000000000000000
χ7988-8-8-888-800002-42-4-24-24-242-44-2-4200000000000000000000000000000000000000000000000000000000
χ8088-8-8-888-80000-42-424-24-24-2-42-242-400000000000000000000000000000000000000000000000000000000
χ818-8-88-8-88800002-4-24-242-424-2-4-4-24200000000000000000000000000000000000000000000000000000000
χ828-8-88-8-8880000-424-24-2-42-4-24224-2-400000000000000000000000000000000000000000000000000000000
χ838-8-8-888-8800002-4-24-242-4-2-42442-4-200000000000000000000000000000000000000000000000000000000
χ848-8-8-888-880000-424-24-2-4242-4-2-2-42400000000000000000000000000000000000000000000000000000000

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