Finite Group Databasebeta

← Group #11790354

Character table — Group #11790354

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order122222223344666666666666661212121212121212444444444444444444441212121212121212121212121212121288888888
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91-11-1-111-1111-11111-1-1-1-1-111-1-1-11111-1-1-1-1ii−i−iii−i−i1-1-111-1-11i−ii−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1
χ101-11-1-111-1111-11111-1-1-1-1-111-1-1-11111-1-1-1-1ii−i−iii−i−i1-1-111-1-11−ii−iiii−i−iii−i−i−i−iii−i−iii-1-111-1-111
χ111-11-1-111-1111-11111-1-1-1-1-111-1-1-11111-1-1-1-1−i−iii−i−iii1-1-111-1-11i−ii−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-111
χ121-11-1-111-1111-11111-1-1-1-1-111-1-1-11111-1-1-1-1−i−iii−i−iii1-1-111-1-11−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1
χ131-11-1-111-111-111111-1-1-1-1-111-1-1-1-1-1-1-11111ii−i−i−i−iii1-1-1-1-1111i−i−iiii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111
χ141-11-1-111-111-111111-1-1-1-1-111-1-1-1-1-1-1-11111ii−i−i−i−iii1-1-1-1-1111−iii−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1
χ151-11-1-111-111-111111-1-1-1-1-111-1-1-1-1-1-1-11111−i−iiiii−i−i1-1-1-1-1111i−i−ii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1
χ161-11-1-111-111-111111-1-1-1-1-111-1-1-1-1-1-1-11111−i−iiiii−i−i1-1-1-1-1111−iii−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-200000000-2-2-22222-20000000000000000000000000000
χ1922-22-22-2-2220022-2-2222-2-2-2-22-2-20000000000002i−2i2i−2i-22-200002000000002i−2i2i−2i0000000000000000
χ2022-22-22-2-2220022-2-2222-2-2-2-22-2-2000000000000−2i2i−2i2i-22-20000200000000−2i2i−2i2i0000000000000000
χ2122-22-22-2-2220022-2-2222-2-2-2-22-2-2000000002-22-200002-220000-200002-22-200000000000000000000
χ2222-22-22-2-2220022-2-2222-2-2-2-22-2-200000000-22-2200002-220000-20000-22-2200000000000000000000
χ2322-2-2-2-2222200-2-22222-22-2-2-2-2-2200000000000000000002-22-2000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ2422-2-2-2-2222200-2-22222-22-2-2-2-2-2200000000000000000002-22-2000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ2522-2-2-2-2222200-2-22222-22-2-2-2-2-220000000000000000000-22-22000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ2622-2-2-2-2222200-2-22222-22-2-2-2-2-220000000000000000000-22-22000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ272-22-2-222-2222-22222-2-2-2-2-222-2-2-22222-2-2-2-200000000-222-2-222-20000000000000000000000000000
χ282-22-2-222-222-222222-2-2-2-2-222-2-2-2-2-2-2-2222200000000-22222-2-2-20000000000000000000000000000
χ292-2-222-22-22200-2-222-2-22-22-2-222-200000000000000000002-2-22000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ302-2-222-22-22200-2-222-2-22-22-2-222-200000000000000000002-2-22000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ312-2-222-22-22200-2-222-2-22-22-2-222-20000000000000000000-222-2000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ322-2-222-22-22200-2-222-2-22-22-2-222-20000000000000000000-222-2000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ332-2-2-222-22220022-2-2-2-2-222-2-2-2220000000000002-2-22-2-2200002000000002-2-220000000000000000
χ342-2-2-222-22220022-2-2-2-2-222-2-2-222000000000000-222-2-2-220000200000000-222-20000000000000000
χ352-2-2-222-22220022-2-2-2-2-222-2-2-222000000002i−2i−2i2i000022-20000-200002i−2i−2i2i00000000000000000000
χ362-2-2-222-22220022-2-2-2-2-222-2-2-22200000000−2i2i2i−2i000022-20000-20000−2i2i2i−2i00000000000000000000
χ37444444441-2441-21-21-21-211-2-2-2111-2-211-2-20000000000000000222200000000-1-1-1-1-1-1-1-100000000
χ38444444441-2441-21-21-21-211-2-2-2111-2-211-2-20000000000000000-2-2-2-2000000001111111100000000
χ39444444441-2-4-41-21-21-21-211-2-2-21-1-122-1-122000000000000000022-2-200000000-1-1-1-1111100000000
χ40444444441-2-4-41-21-21-21-211-2-2-21-1-122-1-1220000000000000000-2-222000000001111-1-1-1-100000000
χ4144444444-2144-21-21-21-21-2-2111-2-2-211-2-21122222222000000000000-1-1-1-1-1-1-1-10000000000000000
χ4244444444-2144-21-21-21-21-2-2111-2-2-211-2-211-2-2-2-2-2-2-2-2000000000000111111110000000000000000
χ4344444444-21-4-4-21-21-21-21-2-2111-222-1-122-1-12222-2-2-2-2000000000000-1-1-1-111110000000000000000
χ4444444444-21-4-4-21-21-21-21-2-2111-222-1-122-1-1-2-2-2-222220000000000001111-1-1-1-10000000000000000
χ45444-44-4-4-41-200-12-121-2-1211-22-2-13-3003-30000000000000000000000000000003−33−33−33−300000000
χ46444-44-4-4-41-200-12-121-2-1211-22-2-13-3003-3000000000000000000000000000000−33−33−33−3300000000
χ47444-44-4-4-41-200-12-121-2-1211-22-2-1-3300-330000000000000000000000000000003−33−3−33−3300000000
χ48444-44-4-4-41-200-12-121-2-1211-22-2-1-3300-33000000000000000000000000000000−33−333−33−300000000
χ49444-44-4-4-44400-4-4-4-444-4-4444-44-40000000000000000000000000000000000000000000000000000
χ5044-44-44-4-4-2100-212-1-21-2-122-11-12003i−3i003i−3i2-22-22i−2i2i−2i000000000000-11-11−ii−ii0000000000000000
χ5144-44-44-4-4-2100-212-1-21-2-122-11-12003i−3i003i−3i-22-22−2i2i−2i2i0000000000001-11-1i−ii−i0000000000000000
χ5244-44-44-4-4-2100-212-1-21-2-122-11-1200−3i3i00−3i3i2-22-2−2i2i−2i2i000000000000-11-11i−ii−i0000000000000000
χ5344-44-44-4-4-2100-212-1-21-2-122-11-1200−3i3i00−3i3i-22-222i−2i2i−2i0000000000001-11-1−ii−ii0000000000000000
χ544-444-4-4-441-200-12-12-121-2-11-2-2213-300-33000000000000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ554-444-4-4-441-200-12-12-121-2-11-2-2213-300-33000000000000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ564-444-4-4-441-200-12-12-121-2-11-2-221-33003-3000000000000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ574-444-4-4-441-200-12-12-121-2-11-2-221-33003-3000000000000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ584-444-4-4-444400-4-4-4-4-4-444-4444-440000000000000000000000000000000000000000000000000000
χ594-44-4-444-41-24-41-21-2-12-12-11-222-111-2-2-1-12200000000000000002i−2i2i−2i00000000−i−iii−i−iii00000000
χ604-44-4-444-41-24-41-21-2-12-12-11-222-111-2-2-1-1220000000000000000−2i2i−2i2i00000000ii−i−iii−i−i00000000
χ614-44-4-444-41-2-441-21-2-12-12-11-222-1-1-12211-2-200000000000000002i−2i−2i2i00000000−i−iiiii−i−i00000000
χ624-44-4-444-41-2-441-21-2-12-12-11-222-1-1-12211-2-20000000000000000−2i2i2i−2i00000000ii−i−i−i−iii00000000
χ634-44-4-444-4-214-4-21-212-12-12-21-1-12-2-21122-1-12i2i−2i−2i2i2i−2i−2i000000000000−i−iii−i−iii0000000000000000
χ644-44-4-444-4-214-4-21-212-12-12-21-1-12-2-21122-1-1−2i−2i2i2i−2i−2i2i2i000000000000ii−i−iii−i−i0000000000000000
χ654-44-4-444-4-21-44-21-212-12-12-21-1-1222-1-1-2-2112i2i−2i−2i−2i−2i2i2i000000000000−i−iiiii−i−i0000000000000000
χ664-44-4-444-4-21-44-21-212-12-12-21-1-1222-1-1-2-211−2i−2i2i2i2i2i−2i−2i000000000000ii−i−i−i−iii0000000000000000
χ674-4-4-444-44-2100-212-12-121-22-1-11-2003i−3i00−3i3i2i−2i−2i2i-222-2000000000000−iii−i1-1-110000000000000000
χ684-4-4-444-44-2100-212-12-121-22-1-11-2003i−3i00−3i3i−2i2i2i−2i2-2-22000000000000i−i−ii-111-10000000000000000
χ694-4-4-444-44-2100-212-12-121-22-1-11-200−3i3i003i−3i2i−2i−2i2i2-2-22000000000000−iii−i-111-10000000000000000
χ704-4-4-444-44-2100-212-12-121-22-1-11-200−3i3i003i−3i−2i2i2i−2i-222-2000000000000i−i−ii1-1-110000000000000000
χ71888-88-8-8-8-42004-24-2-424-2-4-42-2240000000000000000000000000000000000000000000000000000
χ7288-88-88-8-82-4002-4-242-424-2-24-44-20000000000000000000000000000000000000000000000000000
χ7388-8-8-8-8882-400-242-42-4-2-4-2-244420000000000000000000000000000000000000000000000000000
χ7488-8-8-8-888-42004-2-42-424244-2-2-2-40000000000000000000000000000000000000000000000000000
χ758-888-8-8-88-42004-24-24-2-424-422-2-40000000000000000000000000000000000000000000000000000
χ768-8-888-88-82-400-242-4-24242-24-4-4-20000000000000000000000000000000000000000000000000000
χ778-8-888-88-8-42004-2-424-2-4-2-44-22240000000000000000000000000000000000000000000000000000
χ788-8-8-888-882-4002-4-24-24-2-42-244-420000000000000000000000000000000000000000000000000000

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