Finite Group Databasebeta

← Group #286172

Character table — Group #286172

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444224444488888888888888888888888824444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-111111111-1-111111111-1-111-1-111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111-1-1-1-11111111-1-111-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11-1111-1-1-1-1-1111-1
χ10111111111-1-1-1-11111111-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1111-1-111-11
χ11111111111-1-1-1-11111111-1-111-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-11-11111-1-1-11
χ12111111111-1-1-1-11111111-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1111-11-1-111-1-11-1
χ13111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1111-11-1-111-1-1-11
χ14111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1-11-11111-1-11-1
χ15111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-11-1-1-1111-1-1111-1
χ16111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111-1111-1-1-1-1-111-11
χ172222222222222-2-2-2222-2-2-2-2-222-20000000000000000000000002200-2-200000000
χ182222222222222-2-2-2222-2-2-2-2-222-2000000000000000000000000-2-2002200000000
χ19222222222-2-2-2-2-2-2-2222-222-2-2-2-220000000000000000000000002-200-2200000000
χ20222222222-2-2-2-2-2-2-2222-222-2-2-2-22000000000000000000000000-22002-200000000
χ2122222222-22222222-2-2-2222-2-2-2-2-222-2-22200000000-2-20000000000000000000000
χ2222222222-22222222-2-2-2222-2-2-2-2-2-2-222-2-200000000220000000000000000000000
χ2322222222-22222-2-2-2-2-2-2-2-2-222-2-2200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ2422222222-22222-2-2-2-2-2-2-2-2-222-2-220000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ2522222222-2-2-2-2-2222-2-2-22-2-2-2-222222-2-2-2-200000000220000000000000000000000
χ2622222222-2-2-2-2-2222-2-2-22-2-2-2-2222-2-2222200000000-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ292-2-222-22-2200002-2-22-2-22002-200000000000002i2i−2i−2i0000002-22-2002i−2i0000000000
χ302-2-222-22-2200002-2-22-2-22002-200000000000002i2i−2i−2i000000-22-2200−2i2i0000000000
χ312-2-222-22-2200002-2-22-2-22002-20000000000000−2i−2i2i2i0000002-22-200−2i2i0000000000
χ322-2-222-22-2200002-2-22-2-22002-20000000000000−2i−2i2i2i000000-22-22002i−2i0000000000
χ332-2-222-22-2-20000-222-222-2002-200000000022-2-200000000002i−2i−2i2i0000002i−2i000000
χ342-2-222-22-2-20000-222-222-2002-200000000022-2-20000000000−2i2i2i−2i000000−2i2i000000
χ352-2-222-22-2-20000-222-222-2002-2000000000-2-22200000000002i−2i−2i2i000000−2i2i000000
χ362-2-222-22-2-20000-222-222-2002-2000000000-2-2220000000000−2i2i2i−2i0000002i−2i000000
χ372-2-2-2-2222022-2-2-22-200022-200000002-2002−22−22−22−22-200000000000000002−22−200
χ382-2-2-2-2222022-2-2-22-200022-200000002-200−22−22−22−222-20000000000000000−22−2200
χ392-2-2-2-2222022-2-2-22-200022-20000000-22002−22−22−22−2-220000000000000000−22−2200
χ402-2-2-2-2222022-2-2-22-200022-20000000-2200−22−22−22−22-2200000000000000002−22−200
χ412-2-2-2-22220-2-222-22-20002-2200000002-2002−22−2−22−22-220000000000000000−222−200
χ422-2-2-2-22220-2-222-22-20002-2200000002-200−22−222−22−2-2200000000000000002−2−2200
χ432-2-2-2-22220-2-222-22-20002-220000000-22002−22−2−22−222-200000000000000002−2−2200
χ442-2-2-2-22220-2-222-22-20002-220000000-2200−22−222−22−22-20000000000000000−222−200
χ45444-4-4-44-40000044-4000-4000000000000022−22−22220000000000000000000000000000
χ46444-4-4-44-40000044-4000-40000000000000−222222−220000000000000000000000000000
χ47444-4-4-44-400000-4-440004000000000000000002i2−2i2−2i22i2000000000000000000000000
χ48444-4-4-44-400000-4-44000400000000000000000−2i22i22i2−2i2000000000000000000000000
χ4944-44-44-4-440000000-44-400000000000000000000000022−2222−22000000000000000000
χ5044-44-44-4-440000000-44-4000000000000000000000000−2222−2222000000000000000000
χ5144-44-44-4-4-400000004-440000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5244-44-44-4-4-400000004-44000000000000000000000000−2i22i22i2−2i2000000000000000000
χ5344-4-44-4-4404i−4i4i−4i0000000000000022−22002i2−2i200000000000000000000000000000000
χ5444-4-44-4-4404i−4i4i−4i00000000000000−222200−2i22i200000000000000000000000000000000
χ5544-4-44-4-440−4i4i−4i4i0000000000000022−2200−2i22i200000000000000000000000000000000
χ5644-4-44-4-440−4i4i−4i4i00000000000000−2222002i2−2i200000000000000000000000000000000
χ574-444-4-4-4444i−4i−4i4i000-4-44000004i−4i000000000000000000000000000000000000000
χ584-444-4-4-444−4i4i4i−4i000-4-4400000−4i4i000000000000000000000000000000000000000
χ594-444-4-4-44-44i−4i−4i4i00044-400000−4i4i000000000000000000000000000000000000000
χ604-444-4-4-44-4−4i4i4i−4i00044-4000004i−4i000000000000000000000000000000000000000
χ614-4-444-44-440000-4444-4-4-400-4400000000000000000000000000000000000000000
χ624-4-444-44-4-400004-4-4-444400-4400000000000000000000000000000000000000000
χ634-4-4-4-4444044-4-44-44000-4-440000000000000000000000000000000000000000000
χ644-4-4-4-44440-4-4444-44000-44-40000000000000000000000000000000000000000000
χ658-88-888-8-8000000000000000000000000000000000000000000000000000000000

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