Finite Group Databasebeta

← Group #303630

Character table — Group #303630

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444444444224444444444888888882444448888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-111-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-111-1-11-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111111111-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-1-11-111-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-11
χ111111111111111111-1-1-1-111111111-1-1-1-1-1-1-111-11111-1-1-1-1-11-1-11111-1-1-1-111-11
χ121111111111111111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-11111-11-1-111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-1-1111111-1-1-11111-1-1-1-11-1-1-111-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-111-11111-1-1-1-1-1111-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-11111-1111-1-111-1-111-1-1-11
χ172222222222-2-2-222-222220000-2-200-200002222-200000000-2-200000000000000
χ182222222222-2-2-222-222220000-2-200-20000-2-2-2-2-2000000002200000000000000
χ192222222222-2-2-222-2-2-2-2-20000-2-2002000022-2-2200000000-2200000000000000
χ202222222222-2-2-222-2-2-2-2-20000-2-20020000-2-2222000000002-200000000000000
χ2122222222-2-2222-2-2222-2-22222-2-2-2-2222-2-20000-2000000000000000000000000
χ2222222222-2-2222-2-2222-2-2-2-2-2-2-2-2222-2-2220000-2000000000000000000000000
χ2322222222-2-2222-2-22-2-2222222-2-2-2-2-2-2-22200002000000000000000000000000
χ2422222222-2-2222-2-22-2-222-2-2-2-2-2-222-222-2-200002000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-200002200-200000000200000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-200002200-20000000020000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22200002200200000000-200000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22200002200200000000-20000000000-222-20000000000
χ292-2222-2-2-2-2-20002202-22-200000000000002i−2i2i−2i022−2−222−2−20000000000i2−i2i2−i200
χ302-2222-2-2-2-2-20002202-22-200000000000002i−2i2i−2i0−2−222−2−2220000000000−i2i2−i2i200
χ312-2222-2-2-2-2-20002202-22-20000000000000−2i2i−2i2i022−2−222−2−20000000000−i2i2−i2i200
χ322-2222-2-2-2-2-20002202-22-20000000000000−2i2i−2i2i0−2−222−2−2220000000000i2−i2i2−i200
χ332-2222-2-2-2-2-2000220-22-2200000000000002i−2i−2i2i022−2−2−2−2220000000000i2−i2−i2i200
χ342-2222-2-2-2-2-2000220-22-2200000000000002i−2i−2i2i0−2−22222−2−20000000000−i2i2i2−i200
χ352-2222-2-2-2-2-2000220-22-220000000000000−2i2i2i−2i022−2−2−2−2220000000000−i2i2i2−i200
χ362-2222-2-2-2-2-2000220-22-220000000000000−2i2i2i−2i0−2−22222−2−20000000000i2−i2−i2i200
χ372-2-2-2222-22-222-22-2-2000022-2-22-22-2000000000000002i−2i2i−2i000000002i−2i000000
χ382-2-2-2222-22-222-22-2-2000022-2-22-22-200000000000000−2i2i−2i2i00000000−2i2i000000
χ392-2-2-2222-22-222-22-2-20000-2-2222-2-22000000000000002i−2i2i−2i00000000−2i2i000000
χ402-2-2-2222-22-222-22-2-20000-2-2222-2-2200000000000000−2i2i−2i2i000000002i−2i000000
χ412-2-2-2222-2-2222-2-22-2000022-2-2-22-2200000000002i−2i2i−2i00000000002i−2i00000000
χ422-2-2-2222-2-2222-2-22-2000022-2-2-22-220000000000−2i2i−2i2i0000000000−2i2i00000000
χ432-2-2-2222-2-2222-2-22-20000-2-222-222-200000000002i−2i2i−2i0000000000−2i2i00000000
χ442-2-2-2222-2-2222-2-22-20000-2-222-222-20000000000−2i2i−2i2i00000000002i−2i00000000
χ45444-4-44-4-4004-4400-40000000000000004-400000000000000000000000000000
χ46444-4-44-4-4004-4400-4000000000000000-4400000000000000000000000000000
χ47444-4-44-4-400-44-400400004i−4i4i−4i00000000000000000000000000000000000000
χ48444-4-44-4-400-44-40040000−4i4i−4i4i00000000000000000000000000000000000000
χ4944-4-44-4-444-4000-44000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5044-4-44-4-444-4000-4400000000000000000000000−2i22i22i2−2i200000000000000000000
χ5144-4-44-4-44-440004-40000000000000000000000000002i2−2i2−2i22i20000000000000000
χ5244-4-44-4-44-440004-4000000000000000000000000000−2i22i22i2−2i20000000000000000
χ534-4444-4-4-444000-4-404-4-44000000000000000000000000000000000000000000
χ544-4444-4-4-444000-4-40-444-4000000000000000000000000000000000000000000
χ554-4-44-44-44004-4-400400000000000004-40000000000000000000000000000000
χ564-4-44-44-44004-4-40040000000000000-440000000000000000000000000000000
χ574-4-44-44-4400-44400-400004i−4i−4i4i00000000000000000000000000000000000000
χ584-4-44-44-4400-44400-40000−4i4i4i−4i00000000000000000000000000000000000000
χ594-4-4-4444-44-4-4-444-4400000000-44000000000000000000000000000000000000
χ604-4-4-4444-4-44-4-44-444000000004-4000000000000000000000000000000000000
χ6188-88-8-88-8000000000000000000000000000000000000000000000000000000
χ628-88-8-8-888000000000000000000000000000000000000000000000000000000

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