Finite Group Databasebeta

← Group #250091

Character table — Group #250091

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11112222222244444444444888888888888888888161616161616161616161616161616161632
order12222244444422444448888224444448888888888222244444448888888
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-11111-1-1111111-1-1-1-11-1-1-1-1-1-1111-111-1
χ411111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-11-1-1-1-1111-1-1-11-1-11
χ51111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11111-11-1-11-1-11-1-1-1
χ61111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1111
χ71111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-11-1-11-1111-1-1-1-1-11
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-111-1-1-111111-1
χ9111111111111-1-11-1-111111111-1-11111-1-1-1-111-1-1-1-11-1-111-1-111-1-1-111-1-1-11
χ10111111111111-1-11-1-111111111-1-111-1-1111111-1-1-1-11-1-1-1-1-1-11-1111-1-1111-1
χ11111111111111-1-11-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1111-1-111-1111-1-1-1
χ12111111111111-1-11-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1111-111-11-1-11-1-1-1111
χ13111111111111-1-11-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-11111-1-1-1111-1-1-1-111-1
χ14111111111111-1-11-1-111-1-1-1-111-1-111-1-11111-1-11111-111-1-1-1-1-1-1-1-11111-1-11
χ15111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-1-1-11111-1-1-1-1-1-11111
χ16111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1111111111-1-1-1-1
χ17222222-222-22222-222-2-2000000-2-2002222000000000000-2000000-2000000
χ18222222-222-22222-222-2-2000000-2-200-2-2-2-200000000000020000002000000
χ19222222-222-222-2-2-2-2-2-2-2000000220022-2-2000000000000-20000002000000
χ20222222-222-222-2-2-2-2-2-2-20000002200-2-2220000000000002000000-2000000
χ21222222-2-2-2-2-2-200-2002200002-2002-20000000022-2-202-2000000000000000
χ22222222-2-2-2-2-2-200-2002200002-2002-200000000-2-2220-22000000000000000
χ23222222-2-2-2-2-2-200-200220000-2200-220000000022-2-20-22000000000000000
χ24222222-2-2-2-2-2-200-200220000-2200-2200000000-2-22202-2000000000000000
χ252222-2-222-222-200-200-2222222200-2-2000000-2-20000-200000020000000000
χ262222-2-222-222-200-200-222222-2-20022000000-2-200002000000-20000000000
χ272222-2-222-222-200-200-22-2-2-2-22200-2-20000002200002000000-20000000000
χ282222-2-222-222-200-200-22-2-2-2-2-2-20022000000220000-200000020000000000
χ292222-2-22-222-2222-2-2-22-20000002-20000002200000000020000-200000-2000
χ302222-2-22-222-2222-2-2-22-20000002-2000000-2-2000000000-200002000002000
χ312222-2-22-222-22-2-2-2222-2000000-2200000022000000000-20000200000-2000
χ322222-2-22-222-22-2-2-2222-2000000-22000000-2-200000000020000-2000002000
χ332222-2-2-2-22-2-22222-2-2-2200002-2-22-22000000000000000002-200000000000
χ342222-2-2-2-22-2-22222-2-2-220000-22-222-200000000000000000-2200000000000
χ352222-2-2-2-22-2-22-2-2222-2200002-22-2-2200000000000000000-2200000000000
χ362222-2-2-2-22-2-22-2-2222-220000-222-22-2000000000000000002-200000000000
χ372-2-22-220-2-20222-202-20022−2−20000002-22-2002−22−22−20000000000002−202−20
χ382-2-22-220-2-20222-202-20022−2−2000000-22-22002−22−22−2000000000000−220−220
χ392-2-22-220-2-20222-202-200−2−2220000002-22-200−22−22−22000000000000−220−220
χ402-2-22-220-2-20222-202-200−2−222000000-22-2200−22−22−220000000000002−202−20
χ412-2-22-220-2-2022-220-220022−2−20000002-2-22002−2−22−220000000000002−20−220
χ422-2-22-220-2-2022-220-220022−2−2000000-222-2002−2−22−22000000000000−2202−20
χ432-2-22-220-2-2022-220-2200−2−2220000002-2-2200−222−22−2000000000000−2202−20
χ442-2-22-220-2-2022-220-2200−2−222000000-222-200−222−22−20000000000002−20−220
χ454444444-4-44-4-400400-4-40000000000000000000000000000000000000000
χ464444-4-4-44-4-44-4004004-40000000000000000000000000000000000000000
χ4744-4-400-40040000000002i2−2i22i2−2i2000000000022−220000000000000002i−2i0000000
χ4844-4-400-40040000000002i2−2i22i2−2i20000000000−2222000000000000000−2i2i0000000
χ4944-4-400-4004000000000−2i22i2−2i22i2000000000022−22000000000000000−2i2i0000000
χ5044-4-400-4004000000000−2i22i2−2i22i20000000000−22220000000000000002i−2i0000000
χ514-4-444-404-40-444-40-44000000000000000000000000000000000000000000
χ524-4-444-404-40-44-4404-4000000000000000000000000000000000000000000
χ534-4-444-40-4404-400000002222−22−22000000000000−22220000000000000000000000
χ544-4-444-40-4404-40000000−22−22222200000000000022−220000000000000000000000
χ554-4-44-440440-4-4000000000000000000000000022−22−2222000000000000000000
χ564-4-44-440440-4-40000000000000000000000000−222222−22000000000000000000
χ5788-8-800800-80000000000000000000000000000000000000000000000000
χ588-88-80000000000000004i−4i−4i4i000000000000000000000000000000000000
χ598-88-8000000000000000−4i4i4i−4i000000000000000000000000000000000000

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