Finite Group Databasebeta

← Group #282752

Character table — Group #282752

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888884444444488888888888888882224444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1111111-1-1-1-1111-111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111
χ5111111111111111111111-1-1-1-1111111111-1-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1111
χ7111111111111111111111-1-1-1-11-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-111-1-1111
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-11111-1-1-1
χ911111111111111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-11-1-1-1-1-1-111-1
χ1011111111111111111-1-1-1-1111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11
χ1111111111111111111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111-1-1-111-1-111-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-111-11111-1-1-1-11
χ1411111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-111111111-1
χ1511111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-11111-1
χ1611111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111111-1-1111-1-1-1-1-1-11
χ17222222222-2-222-22-2-200002222-22222000022-2-20000-2-200000000000000000-2000000000
χ18222222222-2-222-22-2-200002222-2-2-2-2-20000-2-2-2-2000022000000000000000002000000000
χ19222222222-2-222-22-2-20000-2-2-2-2-222220000-2-2220000-2-2000000000000000002000000000
χ20222222222-2-222-22-2-20000-2-2-2-2-2-2-2-2-20000222200002200000000000000000-2000000000
χ2122222222-222-2-22-22-222220000-200002222000022-2-2000000-2-200000000-2000000000000
χ2222222222-222-2-22-22-222220000-20000-2-2-2-20000-2-2-2-200000022000000002000000000000
χ2322222222-222-2-22-22-2-2-2-2-20000-2000022220000-2-222000000-2-2000000002000000000000
χ2422222222-222-2-22-22-2-2-2-2-20000-20000-2-2-2-2000022220000002200000000-2000000000000
χ2522-2-2-2-22202-20020-202i2i−2i−2i0000022−2−222-2-200002i−2i002−2i2i2−i2−i200000022−2−200000000i2−i2000
χ2622-2-2-2-22202-20020-202i2i−2i−2i0000022−2−2-2-2220000−2i2i002−2i2i2−i2−i2000000−2−22200000000−i2i2000
χ2722-2-2-2-22202-20020-202i2i−2i−2i00000−2−22222-2-200002i−2i00−22−i2−i2i2i2000000−2−22200000000−i2i2000
χ2822-2-2-2-22202-20020-202i2i−2i−2i00000−2−222-2-2220000−2i2i00−22−i2−i2i2i200000022−2−200000000i2−i2000
χ2922-2-2-2-22202-20020-20−2i−2i2i2i0000022−2−222-2-20000−2i2i002−2−i2−i2i2i200000022−2−200000000−i2i2000
χ3022-2-2-2-22202-20020-20−2i−2i2i2i0000022−2−2-2-22200002i−2i002−2−i2−i2i2i2000000−2−22200000000i2−i2000
χ3122-2-2-2-22202-20020-20−2i−2i2i2i00000−2−22222-2-20000−2i2i00−22i2i2−i2−i2000000−2−22200000000i2−i2000
χ3222-2-2-2-22202-20020-20−2i−2i2i2i00000−2−222-2-22200002i−2i00−22i2i2−i2−i200000022−2−200000000−i2i2000
χ332-2-22-22-22222-2-2-22-222i−2i2i−2i22-2-2-200000000002-2002i−2i000000000000000000002i−2i0000000
χ342-2-22-22-22222-2-2-22-222i−2i2i−2i-2-222-20000000000-22002i−2i00000000000000000000−2i2i0000000
χ352-2-22-22-22222-2-2-22-22−2i2i−2i2i22-2-2-200000000002-200−2i2i00000000000000000000−2i2i0000000
χ362-2-22-22-22222-2-2-22-22−2i2i−2i2i-2-222-20000000000-2200−2i2i000000000000000000002i−2i0000000
χ372-2-22-22-222-2-2-2-2222-2000022-2-220000000000-220000002-22-200000000000000002-200000
χ382-2-22-22-222-2-2-2-2222-2000022-2-220000000000-22000000-22-220000000000000000-2200000
χ392-2-22-22-222-2-2-2-2222-20000-2-222200000000002-20000002-22-20000000000000000-2200000
χ402-2-22-22-222-2-2-2-2222-20000-2-222200000000002-2000000-22-2200000000000000002-200000
χ412-2-22-22-22-22222-2-2-2-22i−2i2i−2i0000200000000000000−2i2i000000002i2i−2i−2i000002-20000000000
χ422-2-22-22-22-22222-2-2-2-22i−2i2i−2i0000200000000000000−2i2i00000000−2i−2i2i2i00000-220000000000
χ432-2-22-22-22-22222-2-2-2-2−2i2i−2i2i00002000000000000002i−2i000000002i2i−2i−2i00000-220000000000
χ442-2-22-22-22-22222-2-2-2-2−2i2i−2i2i00002000000000000002i−2i00000000−2i−2i2i2i000002-20000000000
χ452-2-2-2222-22002-20-20000002-22-202i−2i2i−2i2−22−22i−2i0000000000002−22−22−2i2−i2i2−i20000000000i2−i20
χ462-2-2-2222-22002-20-20000002-22-202i−2i2i−2i−22−222i−2i000000000000−22−22−22−i2i2−i2i20000000000−i2i20
χ472-2-2-2222-22002-20-20000002-22-20−2i2i−2i2i2−22−2−2i2i0000000000002−22−22−2−i2i2−i2i20000000000−i2i20
χ482-2-2-2222-22002-20-20000002-22-20−2i2i−2i2i−22−22−2i2i000000000000−22−22−22i2−i2i2−i20000000000i2−i20
χ492-2-2-2222-22002-20-2000000-22-2202i−2i2i−2i2−22−2−2i2i0000000000002−2−22−22i2−i2i2−i20000000000−i2i20
χ502-2-2-2222-22002-20-2000000-22-2202i−2i2i−2i−22−22−2i2i000000000000−222−22−2−i2i2−i2i20000000000i2−i20
χ512-2-2-2222-22002-20-2000000-22-220−2i2i−2i2i2−22−22i−2i0000000000002−2−22−22−i2i2−i2i20000000000i2−i20
χ522-2-2-2222-22002-20-2000000-22-220−2i2i−2i2i−22−222i−2i000000000000−222−22−2i2−i2i2−i20000000000−i2i20
χ5344444444-4-4-4-4-4-4-4-44000000004000000000000000000000000000000000000000000000
χ54444-4-44-4-4400-440-40000004-4-440000000000000000000000000000000000000000000000
χ55444-4-44-4-4400-440-4000000-444-40000000000000000000000000000000000000000000000
χ56444-4-44-4-4-4004-404000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ57444-4-44-4-4-4004-40400000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ5844-4-4-4-4440-4400-40400000000002222−22−22000000000000−2222000000000000000000000000000
χ5944-4-4-4-4440-4400-4040000000000−22−22222200000000000022−22000000000000000000000000000
χ604-444-4-44-40000000000000000002i2−2i2−2i22i222−22−2222000000000000000000002i−2i−2i2i0000000000000
χ614-444-4-44-40000000000000000002i2−2i2−2i22i2−222222−2200000000000000000000−2i2i2i−2i0000000000000
χ624-444-4-44-4000000000000000000−2i22i22i2−2i222−22−222200000000000000000000−2i2i2i−2i0000000000000
χ634-444-4-44-4000000000000000000−2i22i22i2−2i2−222222−22000000000000000000002i−2i−2i2i0000000000000
χ644-44-44-4-4404-400-40404-4-4400000000000000000000000000000000000000000000000000
χ654-44-44-4-4404-400-4040-444-400000000000000000000000000000000000000000000000000
χ664-44-44-4-440-440040-400000000000000000000000000002i2−2i2−2i22i200000000000000000000000
χ674-44-44-4-440-440040-40000000000000000000000000000−2i22i22i2−2i200000000000000000000000
χ684-4-44-44-44-4-4-4444-44400000000-4000000000000000000000000000000000000000000000
χ694-4-4-4444-4-400-440400000000000000022−2222−2200000000000000−2222000000000000000000000
χ704-4-4-4444-4-400-4404000000000000000−2222−22220000000000000022−22000000000000000000000
χ7188-888-8-8-8000000000000000000000000000000000000000000000000000000000000000

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