Finite Group Databasebeta

← Group #269596

Character table — Group #269596

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888882222444488888888888888882244444488882
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111
χ5111111111111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111
χ7111111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111-11111-1-1-1
χ911111111111111111-1-1-1-11111111111111-1-1-1-1111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-111-1
χ1011111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-111-1-1-111-1-11
χ1111111111111111111-1-1-1-111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-111111-1-111-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-111-1-1-1-11
χ1411111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1111111-1
χ1511111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1111-1-11111-1
χ1611111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111-1-11-1-1-1-1-1-11
χ172222222222-2-2-222-2-222220000-222220000-2-222000000-2-200000000000000000-20000000
χ182222222222-2-2-222-2-222220000-2-2-2-2-20000-2-2-2-2000000220000000000000000020000000
χ192222222222-2-2-222-2-2-2-2-2-20000-22222000022-2-2000000-2-20000000000000000020000000
χ202222222222-2-2-222-2-2-2-2-2-20000-2-2-2-2-2000022220000002200000000000000000-20000000
χ2122222222-2-2222-2-22-200002222-200002222000022-2-2-2-20000000000000000-20000000000
χ2222222222-2-2222-2-22-200002222-20000-2-2-2-20000-2-2-2-222000000000000000020000000000
χ2322222222-2-2222-2-22-20000-2-2-2-2-2000022220000-2-222-2-2000000000000000020000000000
χ2422222222-2-2222-2-22-20000-2-2-2-2-20000-2-2-2-200002222220000000000000000-20000000000
χ252-2222-2-2-22-20002-2002i2i−2i−2i000002i2i−2i−2ii2i2−i2−i2002-20000i2−i200000022−2−222−2−200000000i2−i2000
χ262-2222-2-2-22-20002-2002i2i−2i−2i000002i2i−2i−2i−i2−i2i2i2002-20000−i2i2000000−2−222−2−22200000000−i2i2000
χ272-2222-2-2-22-20002-2002i2i−2i−2i00000−2i−2i2i2ii2i2−i2−i200-220000i2−i200000022−2−2−2−22200000000−i2i2000
χ282-2222-2-2-22-20002-2002i2i−2i−2i00000−2i−2i2i2i−i2−i2i2i200-220000−i2i2000000−2−22222−2−200000000i2−i2000
χ292-2222-2-2-22-20002-200−2i−2i2i2i000002i2i−2i−2ii2i2−i2−i200-220000i2−i2000000−2−22222−2−200000000−i2i2000
χ302-2222-2-2-22-20002-200−2i−2i2i2i000002i2i−2i−2i−i2−i2i2i200-220000−i2i200000022−2−2−2−22200000000i2−i2000
χ312-2222-2-2-22-20002-200−2i−2i2i2i00000−2i−2i2i2ii2i2−i2−i2002-20000i2−i2000000−2−222−2−22200000000i2−i2000
χ322-2222-2-2-22-20002-200−2i−2i2i2i00000−2i−2i2i2i−i2−i2i2i2002-20000−i2i200000022−2−222−2−200000000−i2i2000
χ332-22-2-22-22222-22-2-2-22000022-2-2-2000000000000002-2000000002i−2i2i−2i00000002i−2i00000000
χ342-22-2-22-22222-22-2-2-22000022-2-2-2000000000000002-200000000−2i2i−2i2i0000000−2i2i00000000
χ352-22-2-22-22222-22-2-2-220000-2-222-200000000000000-22000000002i−2i2i−2i0000000−2i2i00000000
χ362-22-2-22-22222-22-2-2-220000-2-222-200000000000000-2200000000−2i2i−2i2i00000002i−2i00000000
χ372-22-2-22-22-2-22-2222-2-22-22-222-2-22000000002-20000-2200000000000000002-200000000000
χ382-22-2-22-22-2-22-2222-2-22-22-2-2-2222000000002-200002-20000000000000000-2200000000000
χ392-22-2-22-22-2-22-2222-2-2-22-2222-2-2200000000-220000-220000000000000000-2200000000000
χ402-22-2-22-22-2-22-2222-2-2-22-22-2-222200000000-2200002-200000000000000002-200000000000
χ412-22-2-22-22-2-2-22-222222-22-20000-200000000-22000000000022-2-2000000000000002-200000
χ422-22-2-22-22-2-2-22-222222-22-20000-200000000-220000000000-2-22200000000000000-2200000
χ432-22-2-22-22-2-2-22-22222-22-220000-2000000002-2000000000022-2-200000000000000-2200000
χ442-22-2-22-22-2-2-22-22222-22-220000-2000000002-20000000000-2-222000000000000002-200000
χ452-2-22-2-22200-2-22002000002-22-202−22−22-22-200002-200002−22−22−200002−22−200000000002−20
χ462-2-22-2-22200-2-22002000002-22-202−22−2-22-220000-2200002−22−22−20000−22−220000000000−220
χ472-2-22-2-22200-2-22002000002-22-20−22−222-22-200002-20000−22−22−220000−22−220000000000−220
χ482-2-22-2-22200-2-22002000002-22-20−22−22-22-220000-220000−22−22−2200002−22−200000000002−20
χ492-2-22-2-22200-2-2200200000-22-2202−22−22-22-20000-2200002−2−22−2200002−22−20000000000−220
χ502-2-22-2-22200-2-2200200000-22-2202−22−2-22-2200002-200002−2−22−220000−22−2200000000002−20
χ512-2-22-2-22200-2-2200200000-22-220−22−222-22-20000-220000−222−22−20000−22−2200000000002−20
χ522-2-22-2-22200-2-2200200000-22-220−22−22-22-2200002-20000−222−22−200002−22−20000000000−220
χ5344444444-4-4-4-4-4-4-4-44000000004000000000000000000000000000000000000000000000
χ54444-4-4-44-44-4000-44000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ55444-4-4-44-44-4000-4400000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ56444-4-4-44-4-440004-4004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ57444-4-4-44-4-440004-400−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ5844-44-44-4-40000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000002-2-220000000000000
χ5944-44-44-4-40000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000-222-20000000000000
χ6044-44-44-4-4000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000-222-20000000000000
χ6144-44-44-4-4000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000002-2-220000000000000
χ6244-4-44-4-44004-4-400400000000000000000000000000000022−22−2222000000000000000000000
χ6344-4-44-4-44004-4-4004000000000000000000000000000000−222222−22000000000000000000000
χ6444-4-44-4-4400-44400-4000004-4-440000000000000000000000000000000000000000000000
χ6544-4-44-4-4400-44400-400000-444-40000000000000000000000000000000000000000000000
χ664-4444-4-4-4-44000-440000000000000002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ674-4444-4-4-4-44000-44000000000000000−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ684-44-4-44-4444-44-4-4-44-4000000004000000000000000000000000000000000000000000000
χ694-4-44-4-4440044-400-4000000000022−2222−2200000000000000−22220000000000000000000000000
χ704-4-44-4-4440044-400-40000000000−2222−22220000000000000022−220000000000000000000000000
χ718-8-8-8888-8000000000000000000000000000000000000000000000000000000000000000

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