Finite Group Databasebeta

← Group #64875

Character table — Group #64875

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size111122444444555588888810101010101010101010202020202020
order12224444510101044442020202020202244444444448888
χ111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111-1-1-1-1111111-1-1iiii−i−i−i−i-1-1ii−i−i
χ4111111111111-1-1-1-1111111-1-1−i−i−i−iiiii-1-1−i−iii
χ5111111-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1
χ6111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ7111111-1-11111-1-1-1-111-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ8111111-1-11111-1-1-1-111-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ91-11-11-1i−i1-11-111-1-11-1ii−i−i-1111-1-111-1-1i−ii−ii−i
χ101-11-11-1i−i1-11-111-1-11-1ii−i−i-11-1-111-1-111i−i−ii−ii
χ111-11-11-1i−i1-11-1-1-1111-1ii−i−i1-1ii−i−i−i−iii−ii-111-1
χ121-11-11-1i−i1-11-1-1-1111-1ii−i−i1-1−i−iiiii−i−i−ii1-1-11
χ131-11-11-1−ii1-11-111-1-11-1−i−iii-1111-1-111-1-1−ii−ii−ii
χ141-11-11-1−ii1-11-111-1-11-1−i−iii-11-1-111-1-111−iii−ii−i
χ151-11-11-1−ii1-11-1-1-1111-1−i−iii1-1ii−i−i−i−iiii−i1-1-11
χ161-11-11-1−ii1-11-1-1-1111-1−i−iii1-1−i−iiiii−i−ii−i-111-1
χ172222-2-20022222222-2-20000-2-200000000000000
χ182222-2-2002222-2-2-2-2-2-200002200000000000000
χ1922-2-200002-2-222i−2i2i−2i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000
χ2022-2-200002-2-222i−2i2i−2i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000
χ2122-2-200002-2-22−2i2i−2i2i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000
χ2222-2-200002-2-22−2i2i−2i2i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000
χ232-22-2-22002-22-222-2-2-2200002-200000000000000
χ242-22-2-22002-22-2-2-222-220000-2200000000000000
χ252-2-22000022-2-22i−2i−2i2i000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i000000
χ262-2-22000022-2-22i−2i−2i2i00000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000
χ272-2-22000022-2-2−2i2i2i−2i000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000
χ282-2-22000022-2-2−2i2i2i−2i00000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000
χ2944444444-1-1-1-10000-1-1-1-1-1-10000000000000000
χ30444444-4-4-1-1-1-10000-1-111110000000000000000
χ314444-4-400-1-1-1-10000115−55−50000000000000000
χ324444-4-400-1-1-1-1000011−55−550000000000000000
χ334-44-44-44i−4i-11-110000-11−i−iii0000000000000000
χ344-44-44-4−4i4i-11-110000-11ii−i−i0000000000000000
χ354-44-4-4400-11-1100001-1i5−i5−i5i50000000000000000
χ364-44-4-4400-11-1100001-1−i5i5i5−i50000000000000000
χ3788-8-80000-222-200000000000000000000000000
χ388-8-880000-2-22200000000000000000000000000

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