Finite Group Databasebeta

← Group #252102

Character table — Group #252102

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442224444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111
χ511111111111111111111111-1-11-1-11111-1-1-1-111111111-1-1-111-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111
χ711111111111111111111111-1-11-1-1-1-1-1-1111111111111-11-1-1-11-1-1-1-1-1-1-1-11111
χ811111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1111111111-1-1-1-1
χ91111111111111111-1-11-1-11-111-1-1-1111111-1-11111-1-1-1-1-111-1-1-111-1-111-1-111-1-1
χ101111111111111111-1-11-1-11-111-1-1-1111111-1-1-1-1-1-11111-111-1-1-1-1-111-1-111-1-111
χ111111111111111111-1-11-1-11-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-111
χ121111111111111111-1-11-1-11-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ131111111111111111-1-11-1-11-1-1-1-1111111-1-1111111-1-1-1-11-1-1-1-1111-1-1-1-111-1-111
χ141111111111111111-1-11-1-11-1-1-1-1111111-1-111-1-1-1-111111-1-1-1-11-1-11111-1-111-1-1
χ151111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-111-1-1-111-1-11111-1-1
χ161111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-111-111-1-111-1-1-1-111
χ172222222222-2-222-2-222-222-2-222-2220000000000000000-20-2000000000000000
χ182222222222-2-222-2-222-222-2-2-2-2-2-2-20000000000000000202000000000000000
χ192222222222-2-222-2-2-2-2-2-2-2-22222-2-2000000000000000020-2000000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-22-2-22220000000000000000-202000000000000000
χ2122222222-2-222-2-22222-2-2-2-2200-200000022-2-2000000000-20002000000000000
χ2222222222-2-222-2-22222-2-2-2-2200-2000000-2-2220000000002000-2000000000000
χ2322222222-2-222-2-222-2-2-222-2-20020000002222000000000-2000-2000000000000
χ2422222222-2-222-2-222-2-2-222-2-2002000000-2-2-2-200000000020002000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-22-20020022-2-20000000000000002-20000000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-22-200200-2-222000000000000000-220000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222200-20022-2-2000000000000000-220000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222200-200-2-2220000000000000002-20000000000000
χ292-2222-2-2-22-2002-2002i−2i02i−2i002-202i−2i0000000022−2−2i2i2−i2−i200000000002−2i2−i20000
χ302-2222-2-2-22-2002-2002i−2i02i−2i002-202i−2i00000000−2−222−i2−i2i2i20000000000−22−i2i20000
χ312-2222-2-2-22-2002-2002i−2i02i−2i00-220−2i2i0000000022−2−2i2i2−i2−i20000000000−22−i2i20000
χ322-2222-2-2-22-2002-2002i−2i02i−2i00-220−2i2i00000000−2−222−i2−i2i2i200000000002−2i2−i20000
χ332-2222-2-2-22-2002-200−2i2i0−2i2i002-20−2i2i0000000022−2−2−i2−i2i2i200000000002−2−i2i20000
χ342-2222-2-2-22-2002-200−2i2i0−2i2i002-20−2i2i00000000−2−222i2i2−i2−i20000000000−22i2−i20000
χ352-2222-2-2-22-2002-200−2i2i0−2i2i00-2202i−2i0000000022−2−2−i2−i2i2i20000000000−22i2−i20000
χ362-2222-2-2-22-2002-200−2i2i0−2i2i00-2202i−2i00000000−2−222i2i2−i2−i200000000002−2−i2i20000
χ372-2-22-22-222-22-2-222-200200-20000002i−2i2i−2i000000002i−2i2i−2i000000002-200000000
χ382-2-22-22-222-22-2-222-200200-20000002i−2i2i−2i00000000−2i2i−2i2i00000000-2200000000
χ392-2-22-22-222-22-2-222-200200-2000000−2i2i−2i2i000000002i−2i2i−2i00000000-2200000000
χ402-2-22-22-222-22-2-222-200200-2000000−2i2i−2i2i00000000−2i2i−2i2i000000002-200000000
χ412-2-22-22-22-22-222-2-2200200-20000002i−2i−2i2i00002i−2i2i−2i00000000002-20000000000
χ422-2-22-22-22-22-222-2-2200200-20000002i−2i−2i2i0000−2i2i−2i2i0000000000-220000000000
χ432-2-22-22-22-22-222-2-2200200-2000000−2i2i2i−2i00002i−2i2i−2i0000000000-220000000000
χ442-2-22-22-22-22-222-2-2200200-2000000−2i2i2i−2i0000−2i2i−2i2i00000000002-20000000000
χ4544-44-4-44-44400-4-40000000000000000000000000022−22−2222000000000000000000
χ4644-44-4-44-44400-4-400000000000000000000000000−222222−22000000000000000000
χ4744-44-4-44-4-4-4004400000000000000000000002i2−2i2−2i22i20000000000000000000000
χ4844-44-4-44-4-4-400440000000000000000000000−2i22i22i2−2i20000000000000000000000
χ4944-4-444-4-4004400-4-400000000000000004-40000000000000000000000000000
χ5044-4-444-4-4004400-4-40000000000000000-440000000000000000000000000000
χ5144-4-444-4-400-4-400440000000000000000004i−4i00000000000000000000000000
χ5244-4-444-4-400-4-40044000000000000000000−4i4i00000000000000000000000000
χ534-4444-4-4-4-4400-44004i−4i0−4i4i00000000000000000000000000000000000000000
χ544-4444-4-4-4-4400-4400−4i4i04i−4i00000000000000000000000000000000000000000
χ554-44-4-444-4004-400-44000000000000000000000000000000000000000000002i2−2i2
χ564-44-4-444-4004-400-4400000000000000000000000000000000000000000000−2i22i2
χ574-44-4-444-400-44004-40000000000000000000000000000000000000000002i2−2i200
χ584-44-4-444-400-44004-4000000000000000000000000000000000000000000−2i22i200
χ594-4-44-44-444-4-44-44-4400-40040000000000000000000000000000000000000000
χ604-4-44-44-44-444-44-44-400-40040000000000000000000000000000000000000000
χ61888-8-8-8-88000000000000000000000000000000000000000000000000000000
χ628-8-8-88-888000000000000000000000000000000000000000000000000000000

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