Finite Group Databasebeta

← Group #11784915

Character table — Group #11784915

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444444444448888888812121212121212121212121218181818242424242424242424242424242424242424363672727272
order1222223344666666666612121212661212121212122222444444444444446666121212121212121212121212448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111111111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ711111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-111-1-1
χ91-1-111-1111-111-1-1-1-11-1-1111-1-11-111-1-11-11-11-11-11-1ii−i−i11-1-1i−i1-11-1ii−i−iii−i−i1-11-11-1i−ii−i
χ101-1-111-1111-111-1-1-1-11-1-1111-1-11-111-1-11-11-11-11-11-1−i−iii11-1-1−ii1-11-1−i−iii−i−iii1-11-11-1−ii−ii
χ111-1-111-1111-111-1-1-1-11-1-1111-1-11-111-1-11-1-11-11-11-11ii−i−i11-1-1i−i-11-11ii−i−iii−i−i-11-111-1−ii−ii
χ121-1-111-1111-111-1-1-1-11-1-1111-1-11-111-1-11-1-11-11-11-11−i−iii11-1-1−ii-11-11−i−iii−i−iii-11-111-1i−ii−i
χ131-1-111-111-1111-1-1-1-11-1-11-1-1111-1-1-111-111-1-111-1-11ii−i−i11-1-1−ii1-1-11ii−i−i−i−iii1-1-11-11i−i−ii
χ141-1-111-111-1111-1-1-1-11-1-11-1-1111-1-1-111-111-1-111-1-11−i−iii11-1-1i−i1-1-11−i−iiiii−i−i1-1-11-11−iii−i
χ151-1-111-111-1111-1-1-1-11-1-11-1-1111-1-1-111-11-111-1-111-1ii−i−i11-1-1−ii-111-1ii−i−i−i−iii-111-1-11−iii−i
χ161-1-111-111-1111-1-1-1-11-1-11-1-1111-1-1-111-11-111-1-111-1−i−iii11-1-1i−i-111-1−i−iiiii−i−i-111-1-11i−i−ii
χ1722222222222222222222222222222222000000000000-2-2-2-2000000000000000000-2-20000
χ1822222222-2-22222222222-2-2-2-222-2-2-2-2-2-2000000000000-2-2-2-2000000000000000000220000
χ192222-2-22200-2-22-22222-220000-2-2000000002200-2-200002-22-20000220000000000-2-2000000
χ202222-2-22200-2-22-22222-220000-2-200000000-2-2002200002-22-20000-2-2000000000022000000
χ212222-2-22200-2-22-22222-220000-2-20000002200-2-2000000-22-2200220000000000-2-200000000
χ222222-2-22200-2-22-22222-220000-2-2000000-2-20022000000-22-2200-2-200000000002200000000
χ232-2-222-2222-222-2-2-2-22-2-2222-2-22-222-2-22-2000000000000-2-222000000000000000000-220000
χ242-2-222-222-2222-2-2-2-22-2-22-2-2222-2-2-222-22000000000000-2-2220000000000000000002-20000
χ252-2-22-222200-2-2-22-2-22-2220000-22000000002-200-2200002-2-2200002-20000000000-22000000
χ262-2-22-222200-2-2-22-2-22-2220000-2200000000-22002-200002-2-220000-2200000000002-2000000
χ272-2-22-222200-2-2-22-2-22-2220000-220000002-200-22000000-222-2002-20000000000-2200000000
χ282-2-22-222200-2-2-22-2-22-2220000-22000000-22002-2000000-222-200-2200000000002-200000000
χ294444441-2441111-2-2111-2-2-2-2-2-2-21111-2-20000000022220000220000-1-1-1-1-1-1-1-10000000000
χ304444441-2441111-2-2111-2-2-2-2-2-2-21111-2-200000000-2-2-2-20000-2-20000111111110000000000
χ314444441-2-4-41111-2-2111-22222-2-2-1-1-1-1220000000022220000-2-20000-1-1-1-111110000000000
χ324444441-2-4-41111-2-2111-22222-2-2-1-1-1-12200000000-2-2-2-200002200001111-1-1-1-10000000000
χ33444444-2144-2-2-2-211-2-2-21111111-2-2-2-211222222220000000000-1-1-1-100000000-1-1-1-1000000
χ34444444-2144-2-2-2-211-2-2-21111111-2-2-2-211-2-2-2-2-2-2-2-200000000001111000000001111000000
χ35444444-21-4-4-2-2-2-211-2-2-21-1-1-1-1112222-1-122-2-222-2-20000000000-1-11100000000-1-111000000
χ36444444-21-4-4-2-2-2-211-2-2-21-1-1-1-1112222-1-1-2-222-2-222000000000011-1-10000000011-1-1000000
χ374444-4-4-210022-2211-2-2213333-1-10000-3-32222-2-2-2-20000000000-1-1-1-1000000001111000000
χ384444-4-4-210022-2211-2-2213333-1-10000-3-3-2-2-2-222220000000000111100000000-1-1-1-1000000
χ394444-4-4-210022-2211-2-221-3-3-3-3-1-100003322-2-2-2-2220000000000-1-1110000000011-1-1000000
χ404444-4-4-210022-2211-2-221-3-3-3-3-1-1000033-2-22222-2-2000000000011-1-100000000-1-111000000
χ4144-4-4001-2003-3132-2-1-1-3223−2323−23003−33−300000000002-22-200000000001-11-13−33−30000000000
χ4244-4-4001-2003-3132-2-1-1-3223−2323−23003−33−30000000000-22-220000000000-11-11−33−330000000000
χ4344-4-4001-2003-3132-2-1-1-32−2323−232300−33−3300000000002-22-200000000001-11-1−33−330000000000
χ4444-4-4001-2003-3132-2-1-1-32−2323−232300−33−330000000000-22-220000000000-11-113−33−30000000000
χ4544-4-40044000040-44-4-40-4000000000000000000002-22-20000000000-22-2200000000000000
χ4644-4-40044000040-44-4-40-400000000000000000000-22-2200000000002-22-200000000000000
χ474-44-4001-2003-3-1-3-22-113223−23−2323003−3−3300000000002i−2i−2i2i0000000000i−i−iii3−i3−i3i30000000000
χ484-44-4001-2003-3-1-3-22-113223−23−2323003−3−330000000000−2i2i2i−2i0000000000−iii−i−i3i3i3−i30000000000
χ494-44-4001-2003-3-1-3-22-1132−232323−2300−333−300000000002i−2i−2i2i0000000000i−i−ii−i3i3i3−i30000000000
χ504-44-4001-2003-3-1-3-22-1132−232323−2300−333−30000000000−2i2i2i−2i0000000000−iii−ii3−i3−i3i30000000000
χ514-44-400440000-404-4-440-4000000000000000000002i−2i−2i2i0000000000−2i2i2i−2i00000000000000
χ524-44-400440000-404-4-440-400000000000000000000−2i2i2i−2i00000000002i−2i−2i2i00000000000000
χ534-4-444-41-24-411-1-1221-1-1-2-2-222-2211-1-1-22000000002i2i−2i−2i00002i−2i0000−i−iii−i−iii0000000000
χ544-4-444-41-24-411-1-1221-1-1-2-2-222-2211-1-1-2200000000−2i−2i2i2i0000−2i2i0000ii−i−iii−i−i0000000000
χ554-4-444-41-2-4411-1-1221-1-1-222-2-2-22-1-1112-2000000002i2i−2i−2i0000−2i2i0000−i−iiiii−i−i0000000000
χ564-4-444-41-2-4411-1-1221-1-1-222-2-2-22-1-1112-200000000−2i−2i2i2i00002i−2i0000ii−i−i−i−iii0000000000
χ574-4-444-4-214-4-2-222-1-1-222111-1-11-1-2-2221-12-22-22-22-20000000000-11-1100000000-11-11000000
χ584-4-444-4-214-4-2-222-1-1-222111-1-11-1-2-2221-1-22-22-22-2200000000001-11-1000000001-11-1000000
χ594-4-444-4-21-44-2-222-1-1-2221-1-1111-122-2-2-112-2-222-2-220000000000-111-100000000-111-1000000
χ604-4-444-4-21-44-2-222-1-1-2221-1-1111-122-2-2-11-222-2-222-200000000001-1-11000000001-1-11000000
χ614-4-44-44-2100222-2-1-1-22-2133-3-3-110000-332-22-2-22-220000000000-11-11000000001-11-1000000
χ624-4-44-44-2100222-2-1-1-22-2133-3-3-110000-33-22-222-22-200000000001-11-100000000-11-11000000
χ634-4-44-44-2100222-2-1-1-22-21-3-333-1100003-32-2-22-222-20000000000-111-1000000001-1-11000000
χ644-4-44-44-2100222-2-1-1-22-21-3-333-1100003-3-222-22-2-2200000000001-1-1100000000-111-1000000
χ658888-8-82-400-2-22-2-4-422-2-40000440000000000000000000000000000000000000000000000
χ6688-8-8002-400-662-64-4-2-2640000000000000000000000000000000000000000000000000000
χ6788-8-800-420000-40-22440-223−2323−2300−2323−2323000000000000000000000000000000000000000000
χ6888-8-800-420000-40-22440-2−2323−23230023−2323−23000000000000000000000000000000000000000000
χ698-88-8002-400-66-26-44-22-640000000000000000000000000000000000000000000000000000
χ708-88-800-420000402-24-40-223−23−232300−232323−23000000000000000000000000000000000000000000
χ718-88-800-420000402-24-40-2−232323−230023−23−2323000000000000000000000000000000000000000000
χ728-8-88-882-400-2-2-22442-22-400004-40000000000000000000000000000000000000000000000

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