Finite Group Databasebeta

← Group #11787756

Character table — Group #11787756

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444444444448888888812121212121212121212121218181818242424242424242424242424242424242424363672727272
order12222233446666666666121212126612121212121222444444444444442266666612121212121212121212448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1
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
χ511111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111111111-1-111-1-1-1-111-1-1-1-11111-1-111-1-1
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ711111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1
χ91-11-11-111i−i111-1-1-11-1-1-1ii−i−i1-1ii−i−ii−i1-1i−i1-1i−iii−i−i1-11-11-11-111-1-11-1i−ii−iii−i−ii−ii−i1-1
χ101-11-11-111i−i111-1-1-11-1-1-1ii−i−i1-1ii−i−ii−i1-1i−i1-1i−i−i−iii1-11-1-111-1-1-1111-1i−ii−i−i−iiii−i−ii-11
χ111-11-11-111i−i111-1-1-11-1-1-1ii−i−i1-1ii−i−ii−i-11−ii-11−iiii−i−i1-11-11-1-1111-1-1-11−ii−iiii−i−ii−i−ii-11
χ121-11-11-111i−i111-1-1-11-1-1-1ii−i−i1-1ii−i−ii−i-11−ii-11−ii−i−iii1-11-1-11-11-1-111-11−ii−ii−i−iiii−ii−i1-1
χ131-11-11-111−ii111-1-1-11-1-1-1−i−iii1-1−i−iii−ii1-1−ii1-1−iiii−i−i1-11-1-111-1-1-1111-1−ii−iiii−i−i−iii−i-11
χ141-11-11-111−ii111-1-1-11-1-1-1−i−iii1-1−i−iii−ii1-1−ii1-1−ii−i−iii1-11-11-11-111-1-11-1−ii−ii−i−iii−ii−ii1-1
χ151-11-11-111−ii111-1-1-11-1-1-1−i−iii1-1−i−iii−ii-11i−i-11i−iii−i−i1-11-1-11-11-1-111-11i−ii−iii−i−i−ii−ii1-1
χ161-11-11-111−ii111-1-1-11-1-1-1−i−iii1-1−i−iii−ii-11i−i-11i−i−i−iii1-11-11-1-1111-1-1-11i−ii−i−i−iii−iii−i-11
χ1722222222222222222222222222222222000000000000-2-2-2-2000000000000000000-2-20000
χ1822222222-2-22222222222-2-2-2-222-2-2-2-2-2-2000000000000-2-2-2-2000000000000000000220000
χ192222-2-222002-2-22-22222-20000-2-2000000002200-2-200002-2-22000000000022-2-20000000000
χ202222-2-222002-2-22-22222-20000-2-200000000-2-2002200002-2-220000000000-2-2220000000000
χ212222-2-222002-2-22-22222-20000-2-20000002200-2-2000000-222-200220000-2-200000000000000
χ222222-2-222002-2-22-22222-20000-2-2000000-2-20022000000-222-200-2-200002200000000000000
χ232-22-22-2222i−2i222-2-2-22-2-2-22i2i−2i−2i2-22i2i−2i−2i2i−2i000000000000-22-22000000000000000000−2i2i0000
χ242-22-22-222−2i2i222-2-2-22-2-2-2−2i−2i2i2i2-2−2i−2i2i2i−2i2i000000000000-22-220000000000000000002i−2i0000
χ252-22-2-2222002-2-2-22-22-2-220000-22000000002i−2i00−2i2i000022-2-200000000002i−2i−2i2i0000000000
χ262-22-2-2222002-2-2-22-22-2-220000-2200000000−2i2i002i−2i000022-2-20000000000−2i2i2i−2i0000000000
χ272-22-2-2222002-2-2-22-22-2-220000-220000002-200-22000000-2-222002-20000-2200000000000000
χ282-22-2-2222002-2-2-22-22-2-220000-22000000-22002-2000000-2-22200-2200002-200000000000000
χ294444441-244-2-2-2-2-2-2111-2111111-2-2-2-211222222220000000000-1-10000-1-1-1-1-1-10000000000
χ304444441-244-2-2-2-2-2-2111-2111111-2-2-2-211-2-2-2-2-2-2-2-200000000001100001111110000000000
χ314444441-2-4-4-2-2-2-2-2-2111-2-1-1-1-1112222-1-122-2-222-2-20000000000-1-10000-1-111110000000000
χ324444441-2-4-4-2-2-2-2-2-2111-2-1-1-1-1112222-1-1-2-222-2-222000000000011000011-1-1-1-10000000000
χ33444444-2144111111-2-2-21-2-2-2-2-2-21111-2-200000000222200002200-1-1-1-1000000-1-1-1-1000000
χ34444444-2144111111-2-2-21-2-2-2-2-2-21111-2-200000000-2-2-2-20000-2-20011110000001111000000
χ35444444-21-4-4111111-2-2-212222-2-2-1-1-1-1220000000022220000-2-2001111000000-1-1-1-1000000
χ36444444-21-4-4111111-2-2-212222-2-2-1-1-1-12200000000-2-2-2-200002200-1-1-1-10000001111000000
χ374444-4-41-200-222-22-211123333-1-10000-3-32222-2-2-2-20000000000-1-1000011-1-1110000000000
χ384444-4-41-200-222-22-211123333-1-10000-3-3-2-2-2-222220000000000110000-1-111-1-10000000000
χ394444-4-41-200-222-22-21112-3-3-3-3-1-100003322-2-2-2-2220000000000-1-100001111-1-10000000000
χ404444-4-41-200-222-22-21112-3-3-3-3-1-1000033-2-22222-2-20000000000110000-1-1-1-1110000000000
χ4144-4-4004400-40040-4-44-40000000000000000000002i−2i2i−2i0000000000000000002i−2i2i−2i000000
χ4244-4-4004400-40040-4-44-4000000000000000000000−2i2i−2i2i000000000000000000−2i2i−2i2i000000
χ4344-4-400-2100-13-31-3-12-22323−2323−23003−33−300000000002i−2i2i−2i00000000−i3i3−i3i3000000−ii−ii000000
χ4444-4-400-2100-13-31-3-12-22323−2323−23003−33−30000000000−2i2i−2i2i00000000i3−i3i3−i3000000i−ii−i000000
χ4544-4-400-2100-13-31-3-12-223−2323−232300−33−3300000000002i−2i2i−2i00000000i3−i3i3−i3000000−ii−ii000000
χ4644-4-400-2100-13-31-3-12-223−2323−232300−33−330000000000−2i2i−2i2i00000000−i3i3−i3i3000000i−ii−i000000
χ474-44-44-41-24i−4i-2-2-22221-1-12ii−i−i1-1−2i−2i2i2ii−i2-22i−2i2-22i−2i0000000000-110000-11−ii−ii0000000000
χ484-44-44-41-24i−4i-2-2-22221-1-12ii−i−i1-1−2i−2i2i2ii−i-22−2i2i-22−2i2i00000000001-100001-1i−ii−i0000000000
χ494-44-44-41-2−4i4i-2-2-22221-1-12−i−iii1-12i2i−2i−2i−ii2-2−2i2i2-2−2i2i0000000000-110000-11i−ii−i0000000000
χ504-44-44-41-2−4i4i-2-2-22221-1-12−i−iii1-12i2i−2i−2i−ii-222i−2i-222i−2i00000000001-100001-1−ii−ii0000000000
χ514-44-44-4-214i−4i111-1-1-1-222-1−2i−2i2i2i-22ii−i−i−2i2i000000002i2i−2i−2i00002-200-1-111000000−i−iii000000
χ524-44-44-4-214i−4i111-1-1-1-222-1−2i−2i2i2i-22ii−i−i−2i2i00000000−2i−2i2i2i0000-220011-1-1000000ii−i−i000000
χ534-44-44-4-21−4i4i111-1-1-1-222-12i2i−2i−2i-22−i−iii2i−2i000000002i2i−2i−2i0000-220011-1-1000000−i−iii000000
χ544-44-44-4-21−4i4i111-1-1-1-222-12i2i−2i−2i-22−i−iii2i−2i00000000−2i−2i2i2i00002-200-1-111000000ii−i−i000000
χ554-44-4-441-200-2222-221-1-1-23i3i−3i−3i-110000−3i3i2-22i−2i-22−2i2i0000000000-1100001-1−iii−i0000000000
χ564-44-4-441-200-2222-221-1-1-23i3i−3i−3i-110000−3i3i-22−2i2i2-22i−2i00000000001-10000-11i−i−ii0000000000
χ574-44-4-441-200-2222-221-1-1-2−3i−3i3i3i-1100003i−3i2-2−2i2i-222i−2i0000000000-1100001-1i−i−ii0000000000
χ584-44-4-441-200-2222-221-1-1-2−3i−3i3i3i-1100003i−3i-222i−2i2-2−2i2i00000000001-10000-11−iii−i0000000000
χ594-4-44004400-400-404-4-440000000000000000000002-2-220000000000000000002-2-22000000
χ604-4-44004400-400-404-4-44000000000000000000000-222-2000000000000000000-222-2000000
χ614-4-4400-2100-13-3-13122-2-3−2i32i32i3−2i300−i3i3i3−i300000000002-2-2200000000−i3i3i3−i3000000-111-1000000
χ624-4-4400-2100-13-3-13122-2-3−2i32i32i3−2i300−i3i3i3−i30000000000-222-200000000i3−i3−i3i30000001-1-11000000
χ634-4-4400-2100-13-3-13122-2-32i3−2i3−2i32i300i3−i3−i3i300000000002-2-2200000000i3−i3−i3i3000000-111-1000000
χ644-4-4400-2100-13-3-13122-2-32i3−2i3−2i32i300i3−i3−i3i30000000000-222-200000000−i3i3i3−i30000001-1-11000000
χ658888-8-8-42002-2-22-22-4-4-4-20000440000000000000000000000000000000000000000000000
χ6688-8-8002-400400-404-22-2023−2323−2300−2323−2323000000000000000000000000000000000000000000
χ6788-8-8002-400400-404-22-20−2323−23230023−2323−23000000000000000000000000000000000000000000
χ6888-8-800-4200-2-6626-24-44-60000000000000000000000000000000000000000000000000000
χ698-88-8-88-42002-2-2-22-2-444200004-40000000000000000000000000000000000000000000000
χ708-8-88002-40040040-4-2-220−2i32i32i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ718-8-88002-40040040-4-2-2202i3−2i3−2i32i300−2i32i32i3−2i3000000000000000000000000000000000000000000
χ728-8-8800-4200-2-66-2-6244-460000000000000000000000000000000000000000000000000000

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