Finite Group Databasebeta

← Group #11786526

Character table — Group #11786526

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order1222222222336666666666666666666666444444444444444444441212121212121212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111-1-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i-1-111-1-111i−ii−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1
χ10111-1-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i-1-111-1-111−ii−iiii−i−iii−i−i−i−iii−i−iii-1-111-1-111
χ11111-1-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii-1-111-1-111i−ii−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-111
χ12111-1-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii-1-111-1-111−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1
χ13111-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-1-1-11111i−i−iiii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111
χ14111-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-1-1-11111−iii−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1
χ15111-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-1-1-11111i−i−ii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1
χ16111-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-1-1-11111−iii−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ1822222222-2-22222222222222222-2-2-2-2-2-2-2-200000000-2-22222-2-20000000000000000000000000000
χ19222-2-2-2-222-222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000022-2-222-2-20000000000000000000000000000
χ20222-2-2-2-22-2222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000002222-2-2-2-20000000000000000000000000000
χ2122-22-2-22-2002222-2-2-2-222-2-222-2-20000000000000000002i−2i2i−2i00000000000000000000002−22−2−i2i2−i2i2
χ2222-22-2-22-2002222-2-2-2-222-2-222-2-20000000000000000002i−2i2i−2i0000000000000000000000−22−22i2−i2i2−i2
χ2322-22-2-22-2002222-2-2-2-222-2-222-2-2000000000000000000−2i2i−2i2i00000000000000000000002−22−2i2−i2i2−i2
χ2422-22-2-22-2002222-2-2-2-222-2-222-2-2000000000000000000−2i2i−2i2i0000000000000000000000−22−22−i2i2−i2i2
χ2522-2-222-2-2002222-2-2-2-2-2-222-2-2220000000000000000002i−2i−2i2i00000000000000000000002−2−22−i2i2i2−i2
χ2622-2-222-2-2002222-2-2-2-2-2-222-2-2220000000000000000002i−2i−2i2i0000000000000000000000−222−2i2−i2−i2i2
χ2722-2-222-2-2002222-2-2-2-2-2-222-2-222000000000000000000−2i2i2i−2i00000000000000000000002−2−22i2−i2−i2i2
χ2822-2-222-2-2002222-2-2-2-2-2-222-2-222000000000000000000−2i2i2i−2i0000000000000000000000−222−2−i2i2i2−i2
χ292-2-222-2-220022-2-222-2-2222-2-2-22-20000000000002i−2i2i−2i2-200002-2000000002i−2i2i−2i0000000000000000
χ302-2-222-2-220022-2-222-2-2222-2-2-22-2000000000000−2i2i−2i2i2-200002-200000000−2i2i−2i2i0000000000000000
χ312-2-222-2-220022-2-222-2-2222-2-2-22-2000000002i−2i2i−2i0000-220000-2200002i−2i2i−2i00000000000000000000
χ322-2-222-2-220022-2-222-2-2222-2-2-22-200000000−2i2i−2i2i0000-220000-220000−2i2i−2i2i00000000000000000000
χ332-2-2-2-22220022-2-222-2-2-2-2-2222-220000000000002-2-22-2200002-2000000002-2-220000000000000000
χ342-2-2-2-22220022-2-222-2-2-2-2-2222-22000000000000-222-2-2200002-200000000-222-20000000000000000
χ352-2-2-2-22220022-2-222-2-2-2-2-2222-22000000002-2-2200002-20000-2200002-2-2200000000000000000000
χ362-2-2-2-22220022-2-222-2-2-2-2-2222-2200000000-222-200002-20000-220000-222-200000000000000000000
χ3744444444441-21-21-21-21-21-21-2-2111-2-211-2-222222222000000000000-1-1-1-1-1-1-1-10000000000000000
χ3844444444441-21-21-21-21-21-21-2-2111-2-211-2-2-2-2-2-2-2-2-2-2000000000000111111110000000000000000
χ394444444444-21-21-21-21-21-21-211-2-2-211-2-2110000000000000000222200000000-1-1-1-1-1-1-1-100000000
χ404444444444-21-21-21-21-21-21-211-2-2-211-2-2110000000000000000-2-2-2-2000000001111111100000000
χ4144444444-4-41-21-21-21-21-21-21-2-21-1-122-1-1222222-2-2-2-2000000000000-1-1-1-111110000000000000000
χ4244444444-4-41-21-21-21-21-21-21-2-21-1-122-1-122-2-2-2-222220000000000001111-1-1-1-10000000000000000
χ4344444444-4-4-21-21-21-21-21-21-211-222-1-122-1-1000000000000000022-2-200000000-1-1-1-1111100000000
χ4444444444-4-4-21-21-21-21-21-21-211-222-1-122-1-10000000000000000-2-222000000001111-1-1-1-100000000
χ45444-4-4-4-444-41-21-21-21-2-12-12-122-111-2-2-1-1222i2i−2i−2i2i2i−2i−2i000000000000−i−iii−i−iii0000000000000000
χ46444-4-4-4-444-41-21-21-21-2-12-12-122-111-2-2-1-122−2i−2i2i2i−2i−2i2i2i000000000000ii−i−iii−i−i0000000000000000
χ47444-4-4-4-444-4-21-21-21-212-12-12-1-12-2-21122-1-100000000000000002i−2i2i−2i00000000−i−iii−i−iii00000000
χ48444-4-4-4-444-4-21-21-21-212-12-12-1-12-2-21122-1-10000000000000000−2i2i−2i2i00000000ii−i−iii−i−i00000000
χ49444-4-4-4-44-441-21-21-21-2-12-12-122-1-1-12211-2-22i2i−2i−2i−2i−2i2i2i000000000000−i−iiiii−i−i0000000000000000
χ50444-4-4-4-44-441-21-21-21-2-12-12-122-1-1-12211-2-2−2i−2i2i2i2i2i−2i−2i000000000000ii−i−i−i−iii0000000000000000
χ51444-4-4-4-44-44-21-21-21-212-12-12-1-1222-1-1-2-21100000000000000002i−2i−2i2i00000000−i−iiiii−i−i00000000
χ52444-4-4-4-44-44-21-21-21-212-12-12-1-1222-1-1-2-2110000000000000000−2i2i2i−2i00000000ii−i−i−i−iii00000000
χ534-444-44-4-40044-4-4-4-44444-44-4-4-440000000000000000000000000000000000000000000000000000
χ544-444-44-4-400-212-12-1-21-21212-1-1-2003-3003-300000000000000000000000000003−33−33−33−300000000
χ554-444-44-4-400-212-12-1-21-21212-1-1-2003-3003-30000000000000000000000000000−33−33−33−3300000000
χ564-444-44-4-400-212-12-1-21-21212-1-1-200-3300-3300000000000000000000000000003−33−3−33−3300000000
χ574-444-44-4-400-212-12-1-21-21212-1-1-200-3300-330000000000000000000000000000−33−333−33−300000000
χ584-44-44-44-40044-4-4-4-444-4-44-4444-40000000000000000000000000000000000000000000000000000
χ594-44-44-44-400-212-12-1-212-1-2-1-2112003-300-330000000000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ604-44-44-44-400-212-12-1-212-1-2-1-2112003-300-330000000000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ614-44-44-44-400-212-12-1-212-1-2-1-211200-33003-30000000000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ624-44-44-44-400-212-12-1-212-1-2-1-211200-33003-30000000000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ634-4-444-4-44001-2-121-2-121-212-12-2-13-3003-3002i−2i2i−2i2i−2i2i−2i000000000000−ii−ii−ii−ii0000000000000000
χ644-4-444-4-44001-2-121-2-121-212-12-2-13-3003-300−2i2i−2i2i−2i2i−2i2i000000000000i−ii−ii−ii−i0000000000000000
χ654-4-444-4-44001-2-121-2-121-212-12-2-1-3300-33002i−2i2i−2i−2i2i−2i2i000000000000−ii−iii−ii−i0000000000000000
χ664-4-444-4-44001-2-121-2-121-212-12-2-1-3300-3300−2i2i−2i2i2i−2i2i−2i000000000000i−ii−i−ii−ii0000000000000000
χ674-4-4-4-4444001-2-121-2-12-12-1-21-2213-300-33002-2-222-2-22000000000000-111-1-111-10000000000000000
χ684-4-4-4-4444001-2-121-2-12-12-1-21-2213-300-3300-222-2-222-20000000000001-1-111-1-110000000000000000
χ694-4-4-4-4444001-2-121-2-12-12-1-21-221-33003-3002-2-22-222-2000000000000-111-11-1-110000000000000000
χ704-4-4-4-4444001-2-121-2-12-12-1-21-221-33003-300-222-22-2-220000000000001-1-11-111-10000000000000000
χ7188-88-8-88-8002-42-4-24-242-4-242-44-20000000000000000000000000000000000000000000000000000
χ7288-88-8-88-800-42-424-24-2-424-2-42-240000000000000000000000000000000000000000000000000000
χ7388-8-888-8-8002-42-4-24-24-242-4-24-420000000000000000000000000000000000000000000000000000
χ7488-8-888-8-800-42-424-24-24-2-424-22-40000000000000000000000000000000000000000000000000000
χ758-888-88-8-8002-4-24-242-42-4-2-4-24420000000000000000000000000000000000000000000000000000
χ768-88-88-88-8002-4-24-242-4-24242-4-4-20000000000000000000000000000000000000000000000000000
χ778-8-888-8-8800-424-2-424-2-42-4-24-2240000000000000000000000000000000000000000000000000000
χ788-8-8-8-888800-424-2-424-24-242-42-2-40000000000000000000000000000000000000000000000000000

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