Finite Group Databasebeta

← Group #489674

Character table — Group #489674

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222444444444448888888888888161616161616161616161616161632323232
order12224444244448888884444816161616161616162444444488161616162488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111-1-1-1-1111111111111-1-11-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111-1-1-1-1111111111-1-1-111-111-1-1-1-1-1-1-1-111
χ71111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-11-1-1-1-11111-1-111
χ81111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1
χ91111-1-111-11-1-111-1-11111-11-1-11111-1-1-1-11-111-1-11-11-111-1-11-11-1
χ101111-1-111-11-1-111-1-11111-11-1-11111-1-1-1-1-11-1-111-111-111-1-1-11-11
χ111111-1-111-11-1-111-1-11111-11-1-1-1-1-1-111111-111-1-11-11-1-1-111-11-11
χ121111-1-111-11-1-111-1-11111-11-1-1-1-1-1-11111-11-1-111-111-1-1-1111-11-1
χ131111-1-111-11-1-111-1-1111-11-11-11111-1-1-1-11-11-11-1-11-11-1-1111-1-11
χ141111-1-111-11-1-111-1-1111-11-11-11111-1-1-1-1-11-11-111-1-11-1-111-111-1
χ151111-1-111-11-1-111-1-1111-11-11-1-1-1-1-111111-11-11-1-11-1111-1-1-111-1
χ161111-1-111-11-1-111-1-1111-11-11-1-1-1-1-11111-11-11-111-1-1111-1-11-1-11
χ172222222222222-2-2-2-2-2-22222-20000000000000000-2-200000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2-200000000000000002200000000
χ1922222222-2-22-2-22-2-2-2-220000200000000000220-2-20000000000
χ2022222222-2-22-2-22-2-2-2-220000200000000000-2-20220000000000
χ2122222222-2-22-2-2-22222-20000-2000000002-2-2002000000000000
χ2222222222-2-22-2-2-22222-20000-200000000-22200-2000000000000
χ23222222-2-22-2-2-2200000022-2-2022−2−222−2−200000000002−22−20000
χ24222222-2-22-2-2-2200000022-2-20−2−222−2−2220000000000−22−220000
χ25222222-2-22-2-2-22000000-2-222022−2−222−2−20000000000−22−220000
χ26222222-2-22-2-2-22000000-2-2220−2−222−2−22200000000002−22−20000
χ272222-2-2222-2-22-2222-2-220000-2000000000002-20-220000000000
χ282222-2-2222-2-22-2222-2-220000-200000000000-2202-20000000000
χ292222-2-2222-2-22-2-2-2-222-2000020000000022-200-2000000000000
χ302222-2-2222-2-22-2-2-2-222-20000200000000-2-22002000000000000
χ312222-2-222-22-2-22-222-2-2-22-22-220000000000000000-2200000000
χ322222-2-222-22-2-22-222-2-2-2-22-22200000000000000002-200000000
χ332222-2-2-2-2-2-22220000002-2-22022−2−2−2−22200000000002−2−220000
χ342222-2-2-2-2-2-22220000002-2-220−2−22222−2−20000000000−222−20000
χ352222-2-2-2-2-2-2222000000-222-2022−2−2−2−2220000000000−222−20000
χ362222-2-2-2-2-2-2222000000-222-20−2−22222−2−200000000002−2−220000
χ37444444-4-4-44-44-40000000000000000000000000000000000000
χ384444-4-4-4-4444-4-40000000000000000000000000000000000000
χ394-44-4004-40000040000-40000022−2222−220000000000000000000000
χ404-44-4004-40000040000-400000−2222−22220000000000000000000000
χ414-44-4004-400000-4000040000000002i2−2i22i2−2i2000000000000000000
χ424-44-4004-400000-400004000000000−2i22i2−2i22i2000000000000000000
χ434-44-400-440000004i−4i000000002-2-222i−2i−2i2i000000000000000000
χ444-44-400-440000004i−4i00000000-222-2−2i2i2i−2i000000000000000000
χ454-44-400-44000000−4i4i000000002-2-22−2i2i2i−2i000000000000000000
χ464-44-400-44000000−4i4i00000000-222-22i−2i−2i2i000000000000000000
χ4788-8-800000000000042−4200000000000000000000000000000000
χ4888-8-8000000000000−424200000000000000000000000000000000
χ498-8-888-800000000000000000000000000000000000000000000
χ508-8-88-8800000000000000000000000000000000000000000000

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