Finite Group Databasebeta

← Group #10593543

Character table — Group #10593543

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size111122888888889999181818181818181818183636363636363636
order1244243666121212122244248888888844444444
χ1111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1ii−i−iii−i−i
χ61111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1−i−iii−i−iii
χ71111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii
χ81111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i
χ911-1-11-11111-1-1-1-1-1-111-1111-1-111-1-1i−ii−ii−ii−i
χ1011-1-11-11111-1-1-1-1-1-111-1111-1-111-1-1−ii−ii−ii−ii
χ1111-1-11-11111-1-1-1-1-1-111-11-1-111-1-111i−ii−i−ii−ii
χ1211-1-11-11111-1-1-1-1-1-111-11-1-111-1-111−ii−iii−ii−i
χ1311-1-1-111-1-11-1-11111-1-1-1111-1-1-1-1111-1-111-1-11
χ1411-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111-111-1-111-1
χ1511-1-1-111-1-11-1-11111-1-1-11-1-11111-1-11-1-11-111-1
χ1611-1-1-111-1-11-1-11111-1-1-11-1-11111-1-1-111-11-1-11
χ1722222222222222-2-2-2-2-2-20000000000000000
χ182222-2-22-2-2222-2-22222-2-20000000000000000
χ1922-2-22-22222-2-2-2-222-2-22-20000000000000000
χ2022-2-2-222-2-22-2-222-2-2222-20000000000000000
χ212-22i−2i00200-22i−2i002-22i−2i00i2−i22−22−2i2−i200000000
χ222-22i−2i00200-22i−2i002-22i−2i00−i2i2−22−22−i2i200000000
χ232-22i−2i00200-22i−2i00-22−2i2i00i2−i22−2−22−i2i200000000
χ242-22i−2i00200-22i−2i00-22−2i2i00−i2i2−222−2i2−i200000000
χ252-2−2i2i00200-2−2i2i002-2−2i2i00i2−i2−22−22i2−i200000000
χ262-2−2i2i00200-2−2i2i002-2−2i2i00−i2i22−22−2−i2i200000000
χ272-2−2i2i00200-2−2i2i00-222i−2i00i2−i2−222−2−i2i200000000
χ282-2−2i2i00200-2−2i2i00-222i−2i00−i2i22−2−22i2−i200000000
χ29888888-1-1-1-1-1-1-1-10000000000000000000000
χ308888-8-8-111-1-1-1110000000000000000000000
χ3188-8-88-8-1-1-1-111110000000000000000000000
χ3288-8-8-88-111-111-1-10000000000000000000000
χ338-88i−8i00-13-31−ii3i−3i0000000000000000000000
χ348-88i−8i00-1-331−ii−3i3i0000000000000000000000
χ358-8−8i8i00-13-31i−i−3i3i0000000000000000000000
χ368-8−8i8i00-1-331i−i3i−3i0000000000000000000000

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