Finite Group Databasebeta

← Group #150554

Character table — Group #150554

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444444488888881616161616161616161616161616323232323232
order12222244444444224444444444488888888888888
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-11111-1-1-1-1-111111iiii−i−i−i−i-1-1ii−i−i
χ6111111111-1-1-1-11111-1-1-1-1-111111−i−i−i−iiiii-1-1−i−iii
χ7111111111-1-1-1-11111-1-1-1-1-11-1-1-1-1iiii−i−i−i−i11−i−iii
χ8111111111-1-1-1-11111-1-1-1-1-11-1-1-1-1−i−i−i−iiiii11ii−i−i
χ91111111-1-111111-1-1-1-1-111-1111-1-111-1-111-1-11-11-11-1
χ101111111-1-111111-1-1-1-1-111-1111-1-1-1-111-1-1111-1-11-11
χ111111111-1-111111-1-1-1-1-111-11-1-11111-1-111-1-1-11-11-11
χ121111111-1-111111-1-1-1-1-111-11-1-111-1-111-1-111-111-11-1
χ131111111-1-1-1-1-1-11-1-1-111-1-11111-1-1ii−i−i−i−iii-11i−i−ii
χ141111111-1-1-1-1-1-11-1-1-111-1-11111-1-1−i−iiiii−i−i-11−iii−i
χ151111111-1-1-1-1-1-11-1-1-111-1-111-1-111ii−i−i−i−iii1-1−iii−i
χ161111111-1-1-1-1-1-11-1-1-111-1-111-1-111−i−iiiii−i−i1-1i−i−ii
χ1722222222222222-2-2222-2-2-2-2000000000000000000
χ18222222222-2-2-2-22-2-22-2-2222-2000000000000000000
χ192222222-2-22222222-2-2-2-2-22-2000000000000000000
χ202222222-2-2-2-2-2-2222-22222-2-2000000000000000000
χ2122-2-22-2-200000022-202i−2i2i−2i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000
χ2222-2-22-2-200000022-202i−2i2i−2i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000
χ2322-2-22-2-200000022-20−2i2i−2i2i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000
χ2422-2-22-2-200000022-20−2i2i−2i2i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000
χ2522-2-22-2-20000002-2202i−2i−2i2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000
χ2622-2-22-2-20000002-2202i−2i−2i2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000
χ2722-2-22-2-20000002-220−2i2i2i−2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i000000
χ2822-2-22-2-20000002-220−2i2i2i−2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000
χ29444444-4440000-400-4000000000000000000000000
χ30444444-4-4-40000-4004000000000000000000000000
χ314444-4-404-4000000000000002-22-200000000000000
χ324444-4-404-400000000000000-22-2200000000000000
χ334444-4-40-44000000000000002-2-2200000000000000
χ344444-4-40-4400000000000000-222-200000000000000
χ3544-4-44-440044-4-4-4000000000000000000000000000
χ3644-4-44-4400-4-444-4000000000000000000000000000
χ3788-8-8-8800000000000000000000000000000000000
χ388-88-8000004i−4i4i−4i0000000000000000000000000000
χ398-88-800000−4i4i−4i4i0000000000000000000000000000
χ408-8-88000004i−4i−4i4i0000000000000000000000000000
χ418-8-8800000−4i4i4i−4i0000000000000000000000000000

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