Finite Group Databasebeta

← Group #11789689

Character table — Group #11789689

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888816161616181818181818181824242424242424242424242424242424363636363636363648484848
order122244334466666612121212121212122244888822448888242424242424242444888888661212
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ511111111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ611111111-1-11111111111-1-1-1-111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1
χ711111111-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ811111111-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ91-11-11-111i−i-111-1-1-11-11-1ii−i−i1-11-1ii−i−i1-1i−ii−i1-1ii−i−i11-1-1i−ii−i11-1-11-1i−i
χ101-11-11-111i−i-111-1-1-11-11-1ii−i−i1-11-1ii−i−i-11−ii−ii-11−i−iii-1-111i−ii−i11-1-1-11−ii
χ111-11-11-111i−i-111-1-1-11-11-1ii−i−i1-11-1−i−iii1-1−iii−i-11ii−i−i-1-111i−i−ii-1-1111-1−ii
χ121-11-11-111i−i-111-1-1-11-11-1ii−i−i1-11-1−i−iii-11i−i−ii1-1−i−iii11-1-1i−i−ii-1-111-11i−i
χ131-11-11-111−ii-111-1-1-11-11-1−i−iii1-11-1ii−i−i1-1i−i−ii-11−i−iii-1-111−iii−i-1-1111-1i−i
χ141-11-11-111−ii-111-1-1-11-11-1−i−iii1-11-1ii−i−i-11−iii−i1-1ii−i−i11-1-1−iii−i-1-111-11−ii
χ151-11-11-111−ii-111-1-1-11-11-1−i−iii1-11-1−i−iii1-1−ii−ii1-1−i−iii11-1-1−ii−ii11-1-11-1−ii
χ161-11-11-111−ii-111-1-1-11-11-1−i−iii1-11-1−i−iii-11i−ii−i-11ii−i−i-1-111−ii−ii11-1-1-11i−i
χ17222222222222222222222222-2-2-2-200000000000000000000-2-20000000000
χ1822222222-2-22222222222-2-2-2-2-2-2-2-200000000000000000000220000000000
χ192222-2-22200222222-2-2-2-2000022-2-20000000000000000000000002i−2i2i−2i0000
χ202222-2-22200222222-2-2-2-2000022-2-2000000000000000000000000−2i2i−2i2i0000
χ212222-2-22200222222-2-2-2-20000-2-2222222000000000000000000-2-200000000
χ222222-2-22200222222-2-2-2-20000-2-222-2-2-2-20000000000000000002200000000
χ232-22-22-2222i−2i-222-2-2-22-22-22i2i−2i−2i-22-2200000000000000000000−2i2i0000000000
χ242-22-22-222−2i2i-222-2-2-22-22-2−2i−2i2i2i-22-22000000000000000000002i−2i0000000000
χ252-22-2-222200-222-2-2-2-22-2200002-2-220000000000000000000000002i−2i−2i2i0000
χ262-22-2-222200-222-2-2-2-22-2200002-2-22000000000000000000000000−2i2i2i−2i0000
χ272-22-2-222200-222-2-2-2-22-220000-222-22i2i−2i−2i000000000000000000−2i2i00000000
χ282-22-2-222200-222-2-2-2-22-220000-222-2−2i−2i2i2i0000000000000000002i−2i00000000
χ294444441-244-21-21-21-211-21-21-200000000002200220000-1-1-1-10000000000-1-1
χ304444441-244-21-21-21-211-21-21-20000000000-2-200-2-200001111000000000011
χ314444441-2-4-4-21-21-21-211-2-12-1200000000002200-2-2000011110000000000-1-1
χ324444441-2-4-4-21-21-21-211-2-12-120000000000-2-200220000-1-1-1-1000000000011
χ33444444-21441-21-21-21-2-21-21-210000000022002200-1-1-1-1000000000000-1-100
χ34444444-21441-21-21-21-2-21-21-2100000000-2-200-2-20011110000000000001100
χ35444444-21-4-41-21-21-21-2-212-12-1000000002200-2-2001111000000000000-1-100
χ36444444-21-4-41-21-21-21-2-212-12-100000000-2-2002200-1-1-1-10000000000001100
χ3744-4-4004400-4-4-444-4000000000000−2i22i2−2i22i20000000000000000000000000000
χ3844-4-4004400-4-4-444-40000000000002i2−2i22i2−2i20000000000000000000000000000
χ394-44-44-41-24i−4i21-2-12-1-2-112i−2i−i2i00000000002i−2i002-20000-1-1110000000000−ii
χ404-44-44-41-24i−4i21-2-12-1-2-112i−2i−i2i0000000000−2i2i00-22000011-1-10000000000i−i
χ414-44-44-41-2−4i4i21-2-12-1-2-112−i2ii−2i00000000002i−2i00-22000011-1-10000000000−ii
χ424-44-44-41-2−4i4i21-2-12-1-2-112−i2ii−2i0000000000−2i2i002-20000-1-1110000000000i−i
χ434-44-44-4-214i−4i-1-212-1212-2-1−2ii2i−i000000002-2002i−2i00−i−iii000000000000-1100
χ444-44-44-4-214i−4i-1-212-1212-2-1−2ii2i−i00000000-2200−2i2i00ii−i−i0000000000001-100
χ454-44-44-4-21−4i4i-1-212-1212-2-12i−i−2ii000000002-200−2i2i00ii−i−i000000000000-1100
χ464-44-44-4-21−4i4i-1-212-1212-2-12i−i−2ii00000000-22002i−2i00−i−iii0000000000001-100
χ474-4-440044004-4-4-4-4400000000000022−22−22220000000000000000000000000000
χ484-4-440044004-4-4-4-44000000000000−222222−220000000000000000000000000000
χ498888-8-82-400-42-42-424-2-240000000000000000000000000000000000000000
χ508888-8-8-42002-42-42-4-244-20000000000000000000000000000000000000000
χ5188-8-8002-4004-242-4-200000000000000000000000000006−66−6000000000000
χ5288-8-8002-4004-242-4-20000000000000000000000000000−66−66000000000000
χ5388-8-800-4200-24-2-424000000000000000000000000i6−i6i6−i60000000000000000
χ5488-8-800-4200-24-2-424000000000000000000000000−i6i6−i6i60000000000000000
χ558-88-8-882-40042-4-24-242-2-40000000000000000000000000000000000000000
χ568-88-8-88-4200-2-424-24-2-4420000000000000000000000000000000000000000
χ578-8-88002-400-4-24-24200000000000000000000000000006−6−66000000000000
χ588-8-88002-400-4-24-2420000000000000000000000000000−666−6000000000000
χ598-8-8800-420024-24-2-40000000000000000000000006−6−660000000000000000
χ608-8-8800-420024-24-2-4000000000000000000000000−666−60000000000000000

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