Finite Group Databasebeta

← Group #10593445

Character table — Group #10593445

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size11112244444444888899991212121212121212181818181818181818182424242424242424
order122244336666661212121244444444444444888888881212121212121212
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1
χ31111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ41111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ51111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ61111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ71111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111
χ81111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ91-1-11i−i11-1-111-1-1ii−i−iii−i−ii−ii−i1-11-11-111-1-1ii−i−i1-11-1i−ii−i
χ101-1-11i−i11-1-111-1-1ii−i−iii−i−ii−i−ii1-1-111-1-1-111−i−iii1-1-11i−i−ii
χ111-1-11i−i11-1-111-1-1ii−i−iii−i−i−iii−i-111-11-1-1-111−i−iii-111-1−iii−i
χ121-1-11i−i11-1-111-1-1ii−i−iii−i−i−ii−ii-11-111-111-1-1ii−i−i-11-11−ii−ii
χ131-1-11−ii11-1-111-1-1−i−iii−i−iiii−ii−i-11-111-111-1-1−i−iii-11-11i−ii−i
χ141-1-11−ii11-1-111-1-1−i−iii−i−iiii−i−ii-111-11-1-1-111ii−i−i-111-1i−i−ii
χ151-1-11−ii11-1-111-1-1−i−iii−i−iii−iii−i1-1-111-1-1-111ii−i−i1-1-11−iii−i
χ161-1-11−ii11-1-111-1-1−i−iii−i−iii−ii−ii1-11-11-111-1-1−i−iii1-11-1−ii−ii
χ17222222222222222222-2-2-2-200000000-2-20000000000000000
χ182222-2-222222222-2-2-2-2222200000000-2-20000000000000000
χ1922-2-2002222-2-2-2-200002-22-200000000002−22−22−22−200000000
χ2022-2-2002222-2-2-2-200002-22-20000000000−22−22−22−2200000000
χ2122-2-2002222-2-2-2-20000-22-2200000000002−22−2−22−2200000000
χ2222-2-2002222-2-2-2-20000-22-220000000000−22−222−22−200000000
χ232-22-20022-2-2-2-22200002i−2i−2i2i00000000002−2−22i2−i2−i2i200000000
χ242-22-20022-2-2-2-22200002i−2i−2i2i0000000000−222−2−i2i2i2−i200000000
χ252-22-20022-2-2-2-2220000−2i2i2i−2i00000000002−2−22−i2i2i2−i200000000
χ262-22-20022-2-2-2-2220000−2i2i2i−2i0000000000−222−2i2−i2−i2i200000000
χ272-2-222i−2i22-2-222-2-22i2i−2i−2i−2i−2i2i2i00000000-220000000000000000
χ282-2-22−2i2i22-2-222-2-2−2i−2i2i2i2i2i−2i−2i00000000-220000000000000000
χ294444441-21-21-21-21-21-2000000220022000000000000-1-100-1-1
χ304444441-21-21-21-21-21-2000000-2-200-2-2000000000000110011
χ31444444-21-21-21-21-21-210000220022000000000000-1-100-1-100
χ32444444-21-21-21-21-21-210000-2-200-2-200000000000011001100
χ334444-4-41-21-21-21-2-12-120000002200-2-20000000000001100-1-1
χ344444-4-41-21-21-21-2-12-12000000-2-20022000000000000-1-10011
χ354444-4-4-21-21-21-212-12-100002200-2-20000000000001100-1-100
χ364444-4-4-21-21-21-212-12-10000-2-20022000000000000-1-1001100
χ374-4-444i−4i1-2-121-2-12i−2i−i2i0000002i−2i002-2000000000000-1100−ii
χ384-4-444i−4i1-2-121-2-12i−2i−i2i000000−2i2i00-220000000000001-100i−i
χ394-4-444i−4i-212-1-212-1−2ii2i−i00002i−2i002-2000000000000-1100−ii00
χ404-4-444i−4i-212-1-212-1−2ii2i−i0000−2i2i00-220000000000001-100i−i00
χ414-4-44−4i4i1-2-121-2-12−i2ii−2i0000002i−2i00-220000000000001-100−ii
χ424-4-44−4i4i1-2-121-2-12−i2ii−2i000000−2i2i002-2000000000000-1100i−i
χ434-4-44−4i4i-212-1-212-12i−i−2ii00002i−2i00-220000000000001-100−ii00
χ444-4-44−4i4i-212-1-212-12i−i−2ii0000−2i2i002-2000000000000-1100i−i00
χ4588-8-8002-42-4-24-240000000000000000000000000000000000
χ4688-8-800-42-424-24-20000000000000000000000000000000000
χ478-88-8002-4-24-242-40000000000000000000000000000000000
χ488-88-800-424-24-2-420000000000000000000000000000000000

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