Finite Group Databasebeta

← Group #308082

Character table — Group #308082

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888884444444488888888888888884444444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111
χ5111111111111111111111-1-1-1-1111111111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-11-1-111-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-11
χ7111111111111111111111-1-1-1-11-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-111-1
χ911111111111111111-1-1-1-1111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1
χ1011111111111111111-1-1-1-1111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-11-1-1111
χ1111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-111111-1-1-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-1-1-1-1-11
χ1411111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-11111111-1
χ1511111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-11111-1
χ1611111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1111-1-11-1-1-1-11
χ17222222222-2-22-222-2-222220000-20000222200-2-200220000-2-200000000000000000-200000
χ18222222222-2-22-222-2-222220000-20000-2-2-2-200-2-200-2-200002200000000000000000200000
χ19222222222-2-22-222-2-2-2-2-2-20000-200002222002200-2-20000-2-200000000000000000200000
χ20222222222-2-22-222-2-2-2-2-2-20000-20000-2-2-2-20022002200002200000000000000000-200000
χ2122222222-222-22-2-22-200002222-2222200002200-2-200000000-2-2000000000000-200000000
χ2222222222-222-22-2-22-200002222-2-2-2-2-20000-2-200-2-20000000022000000000000200000000
χ2322222222-222-22-2-22-20000-2-2-2-2-222220000-2-2002200000000-2-2000000000000200000000
χ2422222222-222-22-2-22-20000-2-2-2-2-2-2-2-2-200002200220000000022000000000000-200000000
χ2522-2-222-2-202-20-2002000002i2i−2i−2i02i2i−2i−2i22−2−22-2000000i2i2−i2−i22−2000000i2i2−i2−i2000000002−2000
χ2622-2-222-2-202-20-2002000002i2i−2i−2i02i2i−2i−2i−2−2222-2000000−i2−i2i2i2−22000000−i2−i2i2i200000000−22000
χ2722-2-222-2-202-20-2002000002i2i−2i−2i0−2i−2i2i2i22−2−2-22000000i2i2−i2−i22−2000000−i2−i2i2i200000000−22000
χ2822-2-222-2-202-20-2002000002i2i−2i−2i0−2i−2i2i2i−2−222-22000000−i2−i2i2i2−22000000i2i2−i2−i2000000002−2000
χ2922-2-222-2-202-20-200200000−2i−2i2i2i02i2i−2i−2i22−2−2-22000000−i2−i2i2i22−2000000i2i2−i2−i200000000−22000
χ3022-2-222-2-202-20-200200000−2i−2i2i2i02i2i−2i−2i−2−222-22000000i2i2−i2−i2−22000000−i2−i2i2i2000000002−2000
χ3122-2-222-2-202-20-200200000−2i−2i2i2i0−2i−2i2i2i22−2−22-2000000−i2−i2i2i22−2000000−i2−i2i2i2000000002−2000
χ3222-2-222-2-202-20-200200000−2i−2i2i2i0−2i−2i2i2i−2−2222-2000000i2i2−i2−i2−22000000i2i2−i2−i200000000−22000
χ332-2222-2-2-2222-2-22-2-2222-2-20000-200000000002-200002-22-20000000000002-200000000000
χ342-2222-2-2-2222-2-22-2-2222-2-20000-200000000002-20000-22-22000000000000-2200000000000
χ352-2222-2-2-2222-2-22-2-22-2-2220000-20000000000-2200002-22-2000000000000-2200000000000
χ362-2222-2-2-2222-2-22-2-22-2-2220000-20000000000-220000-22-220000000000002-200000000000
χ372-2222-2-2-22-2-2-222-22-222-2-22i−2i2i−2i20000000000-222i−2i000000000000000000002i−2i000000000
χ382-2222-2-2-22-2-2-222-22-222-2-2−2i2i−2i2i20000000000-22−2i2i00000000000000000000−2i2i000000000
χ392-2222-2-2-22-2-2-222-22-2-2-2222i−2i2i−2i200000000002-22i−2i00000000000000000000−2i2i000000000
χ402-2222-2-2-22-2-2-222-22-2-2-222−2i2i−2i2i200000000002-2−2i2i000000000000000000002i−2i000000000
χ412-2222-2-2-2-2-2-222-222200002i−2i2i−2i-2000000000000−2i2i000000000022-2-20000000002i−2i000000
χ422-2222-2-2-2-2-2-222-222200002i−2i2i−2i-2000000000000−2i2i0000000000-2-222000000000−2i2i000000
χ432-2222-2-2-2-2-2-222-22220000−2i2i−2i2i-20000000000002i−2i000000000022-2-2000000000−2i2i000000
χ442-2222-2-2-2-2-2-222-22220000−2i2i−2i2i-20000000000002i−2i0000000000-2-2220000000002i−2i000000
χ452-22-2-222-2200-20-22002-22-200000i2−i2i2−i22i−2i2i−2i0000002i−2i000000i2−i2i2−i2i2−i22−22−200000000002−20
χ462-22-2-222-2200-20-22002-22-200000i2−i2i2−i2−2i2i−2i2i000000−2i2i000000i2−i2i2−i2i2−i2−22−220000000000−220
χ472-22-2-222-2200-20-22002-22-200000−i2i2−i2i22i−2i2i−2i0000002i−2i000000−i2i2−i2i2−i2i2−22−220000000000−220
χ482-22-2-222-2200-20-22002-22-200000−i2i2−i2i2−2i2i−2i2i000000−2i2i000000−i2i2−i2i2−i2i22−22−200000000002−20
χ492-22-2-222-2200-20-2200-22-2200000i2−i2i2−i22i−2i2i−2i000000−2i2i000000i2−i2−i2i2−i2i22−22−20000000000−220
χ502-22-2-222-2200-20-2200-22-2200000i2−i2i2−i2−2i2i−2i2i0000002i−2i000000i2−i2−i2i2−i2i2−22−2200000000002−20
χ512-22-2-222-2200-20-2200-22-2200000−i2i2−i2i22i−2i2i−2i000000−2i2i000000−i2i2i2−i2i2−i2−22−2200000000002−20
χ522-22-2-222-2200-20-2200-22-2200000−i2i2−i2i2−2i2i−2i2i0000002i−2i000000−i2i2i2−i2i2−i22−22−20000000000−220
χ5344444444-4-4-4-4-4-4-4-44000000004000000000000000000000000000000000000000000000
χ54444-4-4-4-4440040-4-4004-4-4400000000000000000000000000000000000000000000000000
χ55444-4-4-4-4440040-4-400-444-400000000000000000000000000000000000000000000000000
χ56444-4-4-4-44-400-4044000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ57444-4-4-4-44-400-404400000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ5844-4-444-4-40-440400-4000000000000002222−22−22000000000000−222200000000000000000000000
χ5944-4-444-4-40-440400-400000000000000−22−22222200000000000022−2200000000000000000000000
χ604-4444-4-4-4-4444-4-44-4-4000000004000000000000000000000000000000000000000000000
χ614-44-4-444-4-400404-4000000000002i2−2i22i2−2i2000000000000000000−2i22i2000000000000000000000
χ624-44-4-444-4-400404-400000000000−2i22i2−2i22i20000000000000000002i2−2i2000000000000000000000
χ634-4-44-44-4400000000000000000022−22−22222i2−2i2−2i22i200000000000000000000−2i2i2i−2i0000000000000
χ644-4-44-44-4400000000000000000022−22−2222−2i22i22i2−2i2000000000000000000002i−2i−2i2i0000000000000
χ654-4-44-44-44000000000000000000−222222−222i2−2i2−2i22i2000000000000000000002i−2i−2i2i0000000000000
χ664-4-44-44-44000000000000000000−222222−22−2i22i22i2−2i200000000000000000000−2i2i2i−2i0000000000000
χ674-4-4-44-44404-40400-4000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ684-4-4-44-44404-40400-400000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ694-4-4-44-4440-440-4004000004-4-440000000000000000000000000000000000000000000000
χ704-4-4-44-4440-440-400400000-444-40000000000000000000000000000000000000000000000
χ7188-88-8-88-8000000000000000000000000000000000000000000000000000000000000000

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