Finite Group Databasebeta

← Group #64901

Character table — Group #64901

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size111122444444555588888810101010101010101010202020202020
order12442458810202022441020404040402488888888888888
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
χ51111111-1-1111111111-1-1-1-11111111111-1-1-1-1-1-1
χ61111111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ71111111-1-1111-1-1-1-111-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111-1-1111-1-1-1-111-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ911-1-1-111i−i1-1-111-1-1-11ii−i−i-1111-1-111-1-1i−ii−ii−i
χ1011-1-1-111i−i1-1-111-1-1-11ii−i−i-11-1-111-1-111i−i−ii−ii
χ1111-1-1-111i−i1-1-1-1-111-11ii−i−i1-1ii−i−i−i−iii−ii-111-1
χ1211-1-1-111i−i1-1-1-1-111-11ii−i−i1-1−i−iiiii−i−i−ii1-1-11
χ1311-1-1-111−ii1-1-111-1-1-11−i−iii-1111-1-111-1-1−ii−ii−ii
χ1411-1-1-111−ii1-1-111-1-1-11−i−iii-11-1-111-1-111−iii−ii−i
χ1511-1-1-111−ii1-1-1-1-111-11−i−iii1-1ii−i−i−i−iiii−i1-1-11
χ1611-1-1-111−ii1-1-1-1-111-11−i−iii1-1−i−iiiii−i−ii−i-111-1
χ172222-2-22002222222-2-20000-2-200000000000000
χ182222-2-2200222-2-2-2-2-2-200002200000000000000
χ1922-2-22-22002-2-222-2-22-200002-200000000000000
χ2022-2-22-22002-2-2-2-2222-20000-2200000000000000
χ212-22i−2i00200-22i−2i2-22i−2i00000000i2−i22−2i2−i22−2000000
χ222-22i−2i00200-22i−2i2-22i−2i00000000−i2i2−22−i2i2−22000000
χ232-22i−2i00200-22i−2i-22−2i2i000000002−2−i2i2−22i2−i2000000
χ242-22i−2i00200-22i−2i-22−2i2i00000000−22i2−i22−2−i2i2000000
χ252-2−2i2i00200-2−2i2i2-2−2i2i00000000i2−i2−22i2−i2−22000000
χ262-2−2i2i00200-2−2i2i2-2−2i2i00000000−i2i22−2−i2i22−2000000
χ272-2−2i2i00200-2−2i2i-222i−2i000000002−2i2−i2−22−i2i2000000
χ282-2−2i2i00200-2−2i2i-222i−2i00000000−22−i2i22−2i2−i2000000
χ29444444-144-1-1-10000-1-1-1-1-1-10000000000000000
χ30444444-1-4-4-1-1-10000-1-111110000000000000000
χ314444-4-4-100-1-1-10000115−55−50000000000000000
χ324444-4-4-100-1-1-1000011−55−550000000000000000
χ3344-4-44-4-100-1110000-11i5−i5−i5i50000000000000000
χ3444-4-44-4-100-1110000-11−i5i5i5−i50000000000000000
χ3544-4-4-44-14i−4i-11100001-1−i−iii0000000000000000
χ3644-4-4-44-1−4i4i-11100001-1ii−i−i0000000000000000
χ378-88i−8i00-2002−2i2i00000000000000000000000000
χ388-8−8i8i00-20022i−2i00000000000000000000000000

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