Finite Group Databasebeta

← Group #11789119

Character table — Group #11789119

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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91-1-111-11-111i−i1111-1-1-1-1-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i1-1ii−i−i1-11-1i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i
χ101-1-111-11-111i−i1111-1-1-1-1-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i1-1ii−i−i1-1-11−ii11-1-1ii−i−i-1-111−i−iii-1-111−i−iii
χ111-1-111-11-111i−i1111-1-1-1-1-1-111-1-1iiii−i−i−i−i-1-111−i−iii1-1ii−i−i1-11-1i−i-1-111−i−iii11-1-1ii−i−i-1-111−i−iii
χ121-1-111-11-111i−i1111-1-1-1-1-1-111-1-1iiii−i−i−i−i-1-111−i−iii1-1ii−i−i1-1-11−ii-1-111−i−iii-1-111−i−iii11-1-1ii−i−i
χ131-1-111-11-111−ii1111-1-1-1-1-1-111-1-1−i−i−i−iiiii11-1-1−i−iii1-1−i−iii1-11-1−ii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii
χ141-1-111-11-111−ii1111-1-1-1-1-1-111-1-1−i−i−i−iiiii11-1-1−i−iii1-1−i−iii1-1-11i−i11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i
χ151-1-111-11-111−ii1111-1-1-1-1-1-111-1-1−i−i−i−iiiii-1-111ii−i−i1-1−i−iii1-11-1−ii-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i
χ161-1-111-11-111−ii1111-1-1-1-1-1-111-1-1−i−i−i−iiiii-1-111ii−i−i1-1−i−iii1-1-11i−i-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-200000000-2-22222-2-20000000000000000000000000000
χ1922-22-2-2-2222002-2-2-2222-2-2-22-22-20000000000000000002-22-20000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ2022-22-2-2-2222002-2-2-2222-2-2-22-22-20000000000000000002-22-20000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ2122-22-2-2-2222002-2-2-2222-2-2-22-22-2000000000000000000-22-220000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ2222-22-2-2-2222002-2-2-2222-2-2-22-22-2000000000000000000-22-220000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ2322-2-2-222-22200-222-222-22-2-2-2-2-220000000000002-22-2220000-2-2000000002-22-20000000000000000
χ2422-2-2-222-22200-222-222-22-2-2-2-2-22000000000000-22-22220000-2-200000000-22-220000000000000000
χ2522-2-2-222-22200-222-222-22-2-2-2-2-22000000002i−2i2i−2i0000-2-200002200002i−2i2i−2i00000000000000000000
χ2622-2-2-222-22200-222-222-22-2-2-2-2-2200000000−2i2i−2i2i0000-2-20000220000−2i2i−2i2i00000000000000000000
χ272-222-22-2-222002-2-2-2-2-2-22222-2-220000000000000000002i−2i−2i2i0000000000000000000000−i2i2i2−i22−2−22
χ282-222-22-2-222002-2-2-2-2-2-22222-2-220000000000000000002i−2i−2i2i0000000000000000000000i2−i2−i2i2−222−2
χ292-222-22-2-222002-2-2-2-2-2-22222-2-22000000000000000000−2i2i2i−2i0000000000000000000000−i2i2i2−i2−222−2
χ302-222-22-2-222002-2-2-2-2-2-22222-2-22000000000000000000−2i2i2i−2i0000000000000000000000i2−i2−i2i22−2−22
χ312-22-2-2-2222200-222-2-2-22-222-2-22-20000000000002i−2i−2i2i2-20000-22000000002i−2i−2i2i0000000000000000
χ322-22-2-2-2222200-222-2-2-22-222-2-22-2000000000000−2i2i2i−2i2-20000-2200000000−2i2i2i−2i0000000000000000
χ332-22-2-2-2222200-222-2-2-22-222-2-22-2000000002i−2i−2i2i0000-2200002-200002i−2i−2i2i00000000000000000000
χ342-22-2-2-2222200-222-2-2-22-222-2-22-200000000−2i2i2i−2i0000-2200002-20000−2i2i2i−2i00000000000000000000
χ352-2-222-22-2222i−2i2222-2-2-2-2-2-222-2-22i2i2i2i−2i−2i−2i−2i00000000-22−2i−2i2i2i-220000000000000000000000000000
χ362-2-222-22-222−2i2i2222-2-2-2-2-2-222-2-2−2i−2i−2i−2i2i2i2i2i00000000-222i2i−2i−2i-220000000000000000000000000000
χ37444444441-24411-2-21-21-21-2-21-2111-2-211-2-222222222000000000000-1-1-1-1-1-1-1-10000000000000000
χ38444444441-24411-2-21-21-21-2-21-2111-2-211-2-2-2-2-2-2-2-2-2-2000000000000111111110000000000000000
χ39444444441-2-4-411-2-21-21-21-2-21-21-1-122-1-1222222-2-2-2-2000000000000-1-1-1-111110000000000000000
χ40444444441-2-4-411-2-21-21-21-2-21-21-1-122-1-122-2-2-2-222220000000000001111-1-1-1-10000000000000000
χ4144444444-2144-2-211-21-21-211-21-2-2-211-2-2110000000000000000222200000000-1-1-1-1-1-1-1-100000000
χ4244444444-2144-2-211-21-21-211-21-2-2-211-2-2110000000000000000-2-2-2-2000000001111111100000000
χ4344444444-21-4-4-2-211-21-21-211-21-222-1-122-1-1000000000000000022-2-200000000-1-1-1-1111100000000
χ4444444444-21-4-4-2-211-21-21-211-21-222-1-122-1-10000000000000000-2-222000000001111-1-1-1-100000000
χ45444-44-4-4-44400-4-4-4444-4-444-44-4-40000000000000000000000000000000000000000000000000000
χ46444-44-4-4-4-210022-11-212-1-21-1-2-12003-3003-300000000000000000000000000003−33−33−33−300000000
χ47444-44-4-4-4-210022-11-212-1-21-1-2-12003-3003-30000000000000000000000000000−33−33−33−3300000000
χ48444-44-4-4-4-210022-11-212-1-21-1-2-1200-3300-3300000000000000000000000000003−33−3−33−3300000000
χ49444-44-4-4-4-210022-11-212-1-21-1-2-1200-3300-330000000000000000000000000000−33−333−33−300000000
χ5044-4-4-444-41-200-11-221-2-1-2-122-1213i−3i003i−3i002i−2i2i−2i2-22-2000000000000−ii−ii-11-110000000000000000
χ5144-4-4-444-41-200-11-221-2-1-2-122-1213i−3i003i−3i00−2i2i−2i2i-22-22000000000000i−ii−i1-11-10000000000000000
χ5244-4-4-444-41-200-11-221-2-1-2-122-121−3i3i00−3i3i002i−2i2i−2i-22-22000000000000−ii−ii1-11-10000000000000000
χ5344-4-4-444-41-200-11-221-2-1-2-122-121−3i3i00−3i3i00−2i2i−2i2i2-22-2000000000000i−ii−i-11-110000000000000000
χ544-44-4-4-4441-200-11-22-12121-22-1-2-13-300-33002i−2i−2i2i−2i2i2i−2i000000000000−iii−ii−i−ii0000000000000000
χ554-44-4-4-4441-200-11-22-12121-22-1-2-13-300-3300−2i2i2i−2i2i−2i−2i2i000000000000i−i−ii−iii−i0000000000000000
χ564-44-4-4-4441-200-11-22-12121-22-1-2-1-33003-3002i−2i−2i2i2i−2i−2i2i000000000000−iii−i−iii−i0000000000000000
χ574-44-4-4-4441-200-11-22-12121-22-1-2-1-33003-300−2i2i2i−2i−2i2i2i−2i000000000000i−i−iii−i−ii0000000000000000
χ584-4-444-44-41-24i−4i11-2-2-12-12-12-212-1ii−2i−2i−i−i2i2i22-2-22i2i−2i−2i000000000000-1-111−i−iii0000000000000000
χ594-4-444-44-41-24i−4i11-2-2-12-12-12-212-1ii−2i−2i−i−i2i2i-2-222−2i−2i2i2i00000000000011-1-1ii−i−i0000000000000000
χ604-4-444-44-41-2−4i4i11-2-2-12-12-12-212-1−i−i2i2iii−2i−2i22-2-2−2i−2i2i2i000000000000-1-111ii−i−i0000000000000000
χ614-4-444-44-41-2−4i4i11-2-2-12-12-12-212-1−i−i2i2iii−2i−2i-2-2222i2i−2i−2i00000000000011-1-1−i−iii0000000000000000
χ624-4-444-44-4-214i−4i-2-2112-12-12-11-2-12−2i−2iii2i2i−i−i00000000000000002-22i−2i00000000-1-111−i−iii00000000
χ634-4-444-44-4-214i−4i-2-2112-12-12-11-2-12−2i−2iii2i2i−i−i0000000000000000-22−2i2i0000000011-1-1ii−i−i00000000
χ644-4-444-44-4-21−4i4i-2-2112-12-12-11-2-122i2i−i−i−2i−2iii00000000000000002-2−2i2i00000000-1-111ii−i−i00000000
χ654-4-444-44-4-21−4i4i-2-2112-12-12-11-2-122i2i−i−i−2i−2iii0000000000000000-222i−2i0000000011-1-1−i−iii00000000
χ664-4-4-444-444400-4-4-44-4-444-4-4-44440000000000000000000000000000000000000000000000000000
χ674-4-4-444-44-210022-112-1-212-1-1-21-2003i−3i00−3i3i00000000000000000000000000003−3−33i3−i3−i3i300000000
χ684-4-4-444-44-210022-112-1-212-1-1-21-2003i−3i00−3i3i0000000000000000000000000000−333−3−i3i3i3−i300000000
χ694-4-4-444-44-210022-112-1-212-1-1-21-200−3i3i003i−3i00000000000000000000000000003−3−33−i3i3i3−i300000000
χ704-4-4-444-44-210022-112-1-212-1-1-21-200−3i3i003i−3i0000000000000000000000000000−333−3i3−i3−i3i300000000
χ71888-88-8-8-82-400-2-24-42-4-242-4424-20000000000000000000000000000000000000000000000000000
χ7288-88-8-8-882-4002-2442-424-24-4-2-4-20000000000000000000000000000000000000000000000000000
χ7388-88-8-8-88-4200-44-2-2-42-4-24-224240000000000000000000000000000000000000000000000000000
χ7488-8-8-888-8-42004-42-2-42424-2-24-2-40000000000000000000000000000000000000000000000000000
χ758-888-88-8-82-4002-244-24-2-42-4-4-2420000000000000000000000000000000000000000000000000000
χ768-888-88-8-8-4200-44-2-24-242-4224-2-40000000000000000000000000000000000000000000000000000
χ778-88-8-8-888-42004-42-24-2-4-2-42-24240000000000000000000000000000000000000000000000000000
χ788-8-8-888-882-400-2-24-4-242-4-2442-420000000000000000000000000000000000000000000000000000

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