Finite Group Databasebeta

← Group #11772503

Character table — Group #11772503

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111228888888818181818181818182424242424242424242424243636363636363636363672727272
order1222223666666644448888444412121212121212128816161616161616168888
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111-1-1111-1-1-1-111-11-1-1-1-1-111-1-11111-1-1-1-111iiii−i−i−i−iii−i−i
χ61111-1-1111-1-1-1-111-11-1-1-1-1-111-1-11111-1-1-1-111−i−i−i−iiiii−i−iii
χ71111-1-1111-1-1-1-111-11-1-1-1-1-1-1-111-1-1-1-1111111iiii−i−i−i−i−i−iii
χ81111-1-1111-1-1-1-111-11-1-1-1-1-1-1-111-1-1-1-1111111−i−i−i−iiiiiii−i−i
χ91-11-11-111-111-1-1-1-111-1-1-111i−ii−iii−i−iii−i−i1-111-1-111-1-1i−ii−i
χ101-11-11-111-111-1-1-1-111-1-1-111i−ii−iii−i−iii−i−i1-1-1-111-1-111−ii−ii
χ111-11-11-111-111-1-1-1-111-1-1-111−ii−ii−i−iii−i−iii1-111-1-111-1-1−ii−ii
χ121-11-11-111-111-1-1-1-111-1-1-111−ii−ii−i−iii−i−iii1-1-1-111-1-111i−ii−i
χ131-11-1-1111-1-1-111-1-1-11111-1-1i−i−iiii−i−i−i−iii1-1ii−i−i−i−iii-111-1
χ141-11-1-1111-1-1-111-1-1-11111-1-1i−i−iiii−i−i−i−iii1-1−i−iiiii−i−i1-1-11
χ151-11-1-1111-1-1-111-1-1-11111-1-1−iii−i−i−iiiii−i−i1-1ii−i−i−i−iii1-1-11
χ161-11-1-1111-1-1-111-1-1-11111-1-1−iii−i−i−iiiii−i−i1-1−i−iiiii−i−i-111-1
χ17222222222222222222-2-2-2-2000000000000-2-2000000000000
χ1822222222222222-2-2-2-2000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ1922222222222222-2-2-2-2000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ202222-2-2222-2-2-2-222-22-22222000000000000-2-2000000000000
χ212222-2-2222-2-2-2-22-22-220000000000000000002−22−2−22−220000
χ222222-2-2222-2-2-2-22-22-22000000000000000000−22−222−22−20000
χ232-22-22-222-222-2-2-22-2-22000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ242-22-22-222-222-2-2-22-2-22000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ252-22-22-222-222-2-2-2-222-222-2-2000000000000-22000000000000
χ262-22-2-2222-2-2-222-222-2-20000000000000000002−2−22−222−20000
χ272-22-2-2222-2-2-222-222-2-2000000000000000000−222−22−2−220000
χ282-22-2-2222-2-2-222-2-2-222-2-222000000000000-22000000000000
χ2944-4-4004-440000-4000022−2222−2200000000000000000000000000
χ3044-4-4004-440000-40000−2222−222200000000000000000000000000
χ314-4-44004-4-400004000022−22−222200000000000000000000000000
χ324-4-44004-4-4000040000−222222−2200000000000000000000000000
χ33888888-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-100000000000000
χ34888888-1-1-1-1-1-1-1-100000000-2-2-2-21111111100000000000000
χ358888-8-8-1-1-11111-10000000022-2-2-1-1-1-1111100000000000000
χ368888-8-8-1-1-11111-100000000-2-2221111-1-1-1-100000000000000
χ3788-8-800-11-13-33-310000000000003−33−33−33−300000000000000
χ3888-8-800-11-13-33-31000000000000−33−33−33−3300000000000000
χ3988-8-800-11-1-33-3310000000000003−33−3−33−3300000000000000
χ4088-8-800-11-1-33-331000000000000−33−333−33−300000000000000
χ418-88-88-8-1-11-1-1111000000002i−2i2i−2i−i−iii−i−iii00000000000000
χ428-88-88-8-1-11-1-111100000000−2i2i−2i2iii−i−iii−i−i00000000000000
χ438-88-8-88-1-1111-1-11000000002i−2i−2i2i−i−iiiii−i−i00000000000000
χ448-88-8-88-1-1111-1-1100000000−2i2i2i−2iii−i−i−i−iii00000000000000
χ458-8-8800-1113-3-33-1000000000000−i3i3i3−i3−i3i3i3−i300000000000000
χ468-8-8800-1113-3-33-1000000000000i3−i3−i3i3i3−i3−i3i300000000000000
χ478-8-8800-111-333-3-1000000000000−i3i3i3−i3i3−i3−i3i300000000000000
χ488-8-8800-111-333-3-1000000000000i3−i3−i3i3−i3i3i3−i300000000000000

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