Finite Group Databasebeta

← Group #11787984

Character table — Group #11787984

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444444444448888888812121212121212121212121218181818242424242424242424242424242424242424363672727272
order122222334466666666661212121266121212121212224444444444222244661212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
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
χ511111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ91-11-11-111i−i11-1-1-11-1-11-1ii−i−i1-1ii−i−ii−i1-1i−i1-111-1-1i−i1-11-1i−i1-11-1i−ii−i11-1-1ii−i−ii−i1-1i−i
χ101-11-11-111i−i11-1-1-11-1-11-1ii−i−i1-1ii−i−ii−i1-1i−i1-1-1-111i−i1-11-1−ii1-11-1i−ii−i-1-111−i−iiii−i-11−ii
χ111-11-11-111i−i11-1-1-11-1-11-1ii−i−i1-1ii−i−ii−i-11−ii-1111-1-1−ii1-11-1i−i-11-11−ii−ii11-1-1ii−i−ii−i-11−ii
χ121-11-11-111i−i11-1-1-11-1-11-1ii−i−i1-1ii−i−ii−i-11−ii-11-1-111−ii1-11-1−ii-11-11−ii−ii-1-111−i−iiii−i1-1i−i
χ131-11-11-111−ii11-1-1-11-1-11-1−i−iii1-1−i−iii−ii1-1−ii1-111-1-1−ii1-11-1−ii1-11-1−ii−ii11-1-1−i−iii−ii1-1−ii
χ141-11-11-111−ii11-1-1-11-1-11-1−i−iii1-1−i−iii−ii1-1−ii1-1-1-111−ii1-11-1i−i1-11-1−ii−ii-1-111ii−i−i−ii-11i−i
χ151-11-11-111−ii11-1-1-11-1-11-1−i−iii1-1−i−iii−ii-11i−i-1111-1-1i−i1-11-1−ii-11-11i−ii−i11-1-1−i−iii−ii-11i−i
χ161-11-11-111−ii11-1-1-11-1-11-1−i−iii1-1−i−iii−ii-11i−i-11-1-111i−i1-11-1i−i-11-11i−ii−i-1-111ii−i−i−ii1-1−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
χ192222-2-22200-2-22-222222-20000-2-20000000022000000-2-22-2-22000000-2-22200000000000000
χ202222-2-22200-2-22-222222-20000-2-200000000-2-2000000222-2-2200000022-2-200000000000000
χ212222-2-22200-2-22-222222-20000-2-20000002200-2-2000000-222-20022-2-2000000000000000000
χ222222-2-22200-2-22-222222-20000-2-2000000-2-20022000000-222-200-2-222000000000000000000
χ232-22-22-2222i−2i22-2-2-22-2-22-22i2i−2i−2i2-22i2i−2i−2i2i−2i000000000000-22-22000000000000000000−2i2i0000
χ242-22-22-222−2i2i22-2-2-22-2-22-2−2i−2i2i2i2-2−2i−2i2i2i−2i2i000000000000-22-220000000000000000002i−2i0000
χ252-22-2-222200-2-2-22-22-2-2220000-22000000002i−2i000000−2i2i22-2-2000000−2i2i2i−2i00000000000000
χ262-22-2-222200-2-2-22-22-2-2220000-2200000000−2i2i0000002i−2i22-2-20000002i−2i−2i2i00000000000000
χ272-22-2-222200-2-2-22-22-2-2220000-220000002-200-22000000-2-222002-2-22000000000000000000
χ282-22-2-222200-2-2-22-22-2-2220000-22000000-22002-2000000-2-22200-222-2000000000000000000
χ294444441-24411111-2-2-211-2-2-2-2-2-21111-2-200000022220000002200000000-1-1-1-1-1-1-1-1000000
χ304444441-24411111-2-2-211-2-2-2-2-2-21111-2-2000000-2-2-2-2000000-2-20000000011111111000000
χ314444441-2-4-411111-2-2-2112222-2-2-1-1-1-1220000002222000000-2-200000000-1-1-1-11111000000
χ324444441-2-4-411111-2-2-2112222-2-2-1-1-1-122000000-2-2-2-200000022000000001111-1-1-1-1000000
χ33444444-2144-2-2-2-2-2111-2-2111111-2-2-2-211222222000022000000-1-1-1-1-1-1-1-100000000000000
χ34444444-2144-2-2-2-2-2111-2-2111111-2-2-2-211-2-2-2-2-2-20000-2-20000001111111100000000000000
χ35444444-21-4-4-2-2-2-2-2111-2-2-1-1-1-1112222-1-122-2-2220000-2-2000000-1-1-1-1111100000000000000
χ36444444-21-4-4-2-2-2-2-2111-2-2-1-1-1-1112222-1-1-2-222-2-20000220000001111-1-1-1-100000000000000
χ374444-4-4-210022-22-2111-223333-1-10000-3-322-2-2-2-2000022000000-1-111-1-11100000000000000
χ384444-4-4-210022-22-2111-223333-1-10000-3-3-2-222220000-2-200000011-1-111-1-100000000000000
χ394444-4-4-210022-22-2111-22-3-3-3-3-1-10000332222-2-20000-2-2000000-1-11111-1-100000000000000
χ404444-4-4-210022-22-2111-22-3-3-3-3-1-1000033-2-2-2-22200002200000011-1-1-1-11100000000000000
χ4144-4-4001-2003-3-1-3122-2-13−2i32i3−2i32i300−i3i3−i3i3000000002i−2i2i−2i0000000000000000i−ii−i3−33−3000000
χ4244-4-4001-2003-3-1-3122-2-13−2i32i3−2i32i300−i3i3−i3i300000000−2i2i−2i2i0000000000000000−ii−ii−33−33000000
χ4344-4-4001-2003-3-1-3122-2-132i3−2i32i3−2i300i3−i3i3−i3000000002i−2i2i−2i0000000000000000i−ii−i−33−33000000
χ4444-4-4001-2003-3-1-3122-2-132i3−2i32i3−2i300i3−i3i3−i300000000−2i2i−2i2i0000000000000000−ii−ii3−33−3000000
χ4544-4-400440000-404-4-44-400000000000000000002i−2i2i−2i0000000000000000−2i2i−2i2i0000000000
χ4644-4-400440000-404-4-44-40000000000000000000−2i2i−2i2i00000000000000002i−2i2i−2i0000000000
χ474-44-44-41-24i−4i11-1-1-1-2221-1−2i−2i2i2i-22ii−i−i−2i2i00000022-2-20000002i−2i00000000-1-111−i−iii000000
χ484-44-44-41-24i−4i11-1-1-1-2221-1−2i−2i2i2i-22ii−i−i−2i2i000000-2-222000000−2i2i0000000011-1-1ii−i−i000000
χ494-44-44-41-2−4i4i11-1-1-1-2221-12i2i−2i−2i-22−i−iii2i−2i00000022-2-2000000−2i2i00000000-1-111ii−i−i000000
χ504-44-44-41-2−4i4i11-1-1-1-2221-12i2i−2i−2i-22−i−iii2i−2i000000-2-2220000002i−2i0000000011-1-1−i−iii000000
χ514-44-44-4-214i−4i-2-22221-1-1-22ii−i−i1-1−2i−2i2i2ii−i2-22i−2i2-200002i−2i000000-11-11−ii−ii00000000000000
χ524-44-44-4-214i−4i-2-22221-1-1-22ii−i−i1-1−2i−2i2i2ii−i-22−2i2i-220000−2i2i0000001-11-1i−ii−i00000000000000
χ534-44-44-4-21−4i4i-2-22221-1-1-22−i−iii1-12i2i−2i−2i−ii2-2−2i2i2-20000−2i2i000000-11-11i−ii−i00000000000000
χ544-44-44-4-21−4i4i-2-22221-1-1-22−i−iii1-12i2i−2i−2i−ii-222i−2i-2200002i−2i0000001-11-1−ii−ii00000000000000
χ554-44-4-44-2100222-221-1-1-2-23i3i−3i−3i-110000−3i3i2-2−2i2i-2200002i−2i000000-111-1−iii−i00000000000000
χ564-44-4-44-2100222-221-1-1-2-23i3i−3i−3i-110000−3i3i-222i−2i2-20000−2i2i0000001-1-11i−i−ii00000000000000
χ574-44-4-44-2100222-221-1-1-2-2−3i−3i3i3i-1100003i−3i2-22i−2i-220000−2i2i000000-111-1i−i−ii00000000000000
χ584-44-4-44-2100222-221-1-1-2-2−3i−3i3i3i-1100003i−3i-22−2i2i2-200002i−2i0000001-1-11−iii−i00000000000000
χ594-4-44001-2003-313-12-22-1-323−23−2323003−3−33000000002i−2i−2i2i0000000000000000i−i−iii3−i3−i3i3000000
χ604-4-44001-2003-313-12-22-1-323−23−2323003−3−3300000000−2i2i2i−2i0000000000000000−iii−i−i3i3i3−i3000000
χ614-4-44001-2003-313-12-22-1-3−232323−2300−333−3000000002i−2i−2i2i0000000000000000i−i−ii−i3i3i3−i3000000
χ624-4-44001-2003-313-12-22-1-3−232323−2300−333−300000000−2i2i2i−2i0000000000000000−iii−ii3−i3−i3i3000000
χ634-4-440044000040-4-44-4-400000000000000000002i−2i−2i2i0000000000000000−2i2i2i−2i0000000000
χ644-4-440044000040-4-44-4-40000000000000000000−2i2i2i−2i00000000000000002i−2i−2i2i0000000000
χ658888-8-82-400-2-22-22-4-4-42-20000440000000000000000000000000000000000000000000000
χ6688-8-8002-400-66-26244-4-2-60000000000000000000000000000000000000000000000000000
χ6788-8-800-42000040-4-2-2240−2i32i3−2i32i3002i3−2i32i3−2i3000000000000000000000000000000000000000000
χ6888-8-800-42000040-4-2-22402i3−2i32i3−2i300−2i32i3−2i32i3000000000000000000000000000000000000000000
χ698-88-8-882-400-2-2-22-2-4442200004-40000000000000000000000000000000000000000000000
χ708-8-88002-400-662-6-24-44-260000000000000000000000000000000000000000000000000000
χ718-8-8800-420000-404-22-24023−23−232300−232323−23000000000000000000000000000000000000000000
χ728-8-8800-420000-404-22-240−232323−230023−23−2323000000000000000000000000000000000000000000

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