Finite Group Databasebeta

← Group #294045

Character table — Group #294045

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444488888888888888888888888888888161616161616161616163232
order12222222444444444444444444444444444448888888888888888444444888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ81111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1
χ91111111111111111-1-11-1-1-1-11-111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-11-11-111-1-11-1
χ101111111111111111-1-11-1-1-1-11-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-11-11-1-1-111-11
χ111111111111111111-1-11-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-111-1-1-111-11
χ121111111111111111-1-11-1-1-1-11-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-111-111-1-11-1
χ131111111111111111-1-11-1-1-1-11-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-11-1111-1-1-11
χ141111111111111111-1-11-1-1-1-11-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1-11-11-1-1111-1
χ151111111111111111-1-11-1-1-1-11-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-1111-1
χ161111111111111111-1-11-1-1-1-11-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111-1-1111-1-1-11
χ172222222222-2-222-2-222-222-2-2-2-20000000022-2-2000000000000000000-2200000000
χ182222222222-2-222-2-222-222-2-2-2-200000000-2-2220000000000000000002-200000000
χ192222222222-2-222-2-2-2-2-2-2-222-22000000002222000000000000000000-2-200000000
χ202222222222-2-222-2-2-2-2-2-2-222-2200000000-2-2-2-20000000000000000002200000000
χ2122222222-2-222-2-22222-2-2-2-2-2-2222-2-20000000000000000000000000000-22000000
χ2222222222-2-222-2-22222-2-2-2-2-2-22-2-22200000000000000000000000000002-2000000
χ2322222222-2-222-2-222-2-2-22222-2-222220000000000000000000000000000-2-2000000
χ2422222222-2-222-2-222-2-2-22222-2-2-2-2-2-2000000000000000000000000000022000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2222-2000022-2-2000000000000000000002-20000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2222-20000-2-22200000000000000000000-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222-2-222000022-2-200000000000000000000-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222-2-2220000-2-222000000000000000000002-20000000000
χ292-222-2-2-22002200-2-20002-22-2002i−2i2i−2i0000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ302-222-2-2-22002200-2-20002-22-2002i−2i2i−2i00000000−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ312-222-2-2-22002200-2-20002-22-200−2i2i−2i2i0000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ322-222-2-2-22002200-2-20002-22-200−2i2i−2i2i00000000−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ332-222-2-2-22002200-2-2000-22-22002i−2i−2i2i0000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ342-222-2-2-22002200-2-2000-22-22002i−2i−2i2i00000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ352-222-2-2-22002200-2-2000-22-2200−2i2i2i−2i0000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ362-222-2-2-22002200-2-2000-22-2200−2i2i2i−2i00000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ372-2-2-222-222-22-22-22-20020000-2000002i−2i2i−2i000000002i−2i2i−2i00000000000000002-200
χ382-2-2-222-222-22-22-22-20020000-2000002i−2i2i−2i00000000−2i2i−2i2i0000000000000000-2200
χ392-2-2-222-222-22-22-22-20020000-200000−2i2i−2i2i000000002i−2i2i−2i0000000000000000-2200
χ402-2-2-222-222-22-22-22-20020000-200000−2i2i−2i2i00000000−2i2i−2i2i00000000000000002-200
χ412-2-2-222-22-22-22-22-220020000-2000002i−2i−2i2i00002i−2i2i−2i0000000000000000002-20000
χ422-2-2-222-22-22-22-22-220020000-2000002i−2i−2i2i0000−2i2i−2i2i000000000000000000-220000
χ432-2-2-222-22-22-22-22-220020000-200000−2i2i2i−2i00002i−2i2i−2i000000000000000000-220000
χ442-2-2-222-22-22-22-22-220020000-200000−2i2i2i−2i0000−2i2i−2i2i0000000000000000002-20000
χ45444-44-4-4-44400-4-40000000000000000000000000000000000022−2222−22000000000000
χ46444-44-4-4-44400-4-400000000000000000000000000000000000−2222−2222000000000000
χ47444-44-4-4-4-4-4004400000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ48444-44-4-4-4-4-400440000000000000000000000000000000−2i22i2−2i22i20000000000000000
χ4944-4-4-4-444004-400-4400000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5044-4-4-4-444004-400-440000000000000000000000000−2i22i22i2−2i200000000000000000000
χ5144-4-4-4-44400-44004-40000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ5244-4-4-4-44400-44004-4000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ534-444-4-4-4400-4-400440004-4-44000000000000000000000000000000000000000000
χ544-444-4-4-4400-4-40044000-444-4000000000000000000000000000000000000000000
χ554-44-4-444-4000000004i−4i0000000000000000000000000002-2-222i−2i−2i2i000000000000
χ564-44-4-444-4000000004i−4i000000000000000000000000000-222-2−2i2i2i−2i000000000000
χ574-44-4-444-400000000−4i4i0000000000000000000000000002-2-22−2i2i2i−2i000000000000
χ584-44-4-444-400000000−4i4i000000000000000000000000000-222-22i−2i−2i2i000000000000
χ594-4-444-44-44-400-4400000000000000000004i−4i000000000000000000000000000000
χ604-4-444-44-44-400-440000000000000000000−4i4i000000000000000000000000000000
χ614-4-444-44-4-44004-40000000000000000000004i−4i0000000000000000000000000000
χ624-4-444-44-4-44004-4000000000000000000000−4i4i0000000000000000000000000000
χ634-4-4-444-444-4-444-4-4400-40000400000000000000000000000000000000000000000
χ644-4-4-444-44-444-4-444-400-40000400000000000000000000000000000000000000000
χ6588-88-88-8-8000000000000000000000000000000000000000000000000000000000

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