Finite Group Databasebeta

← Group #287935

Character table — Group #287935

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888822244444888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111-1-11-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-111
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
χ9111111111-1-1-1-11111111-1-1-1-111-11111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11-1
χ10111111111-1-1-1-11111111-1-1-1-111-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11-1-11-1-111-11
χ11111111111-1-1-1-11111111-1-1-1-111-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-11
χ12111111111-1-1-1-11111111-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-111-1-1-1111-1
χ13111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-111-1-1-111-11
χ14111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-11-1
χ15111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-11-1-11-1-1111-1
χ16111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1-11
χ172222222222222-222-2-22-222-2-2-2-2-200000000000022-2-20000-2-22200000000000000
χ182222222222222-222-2-22-222-2-2-2-2-2000000000000-2-222000022-2-200000000000000
χ19222222222-2-2-2-2-222-2-22-2-2-222-2-2200000000000022220000-2-2-2-200000000000000
χ20222222222-2-2-2-2-222-2-22-2-2-222-2-22000000000000-2-2-2-20000222200000000000000
χ2122222222-222222-2-222-22-2-222-2-2-2000000000000000000000000002-2-2002000000
χ2222222222-222222-2-222-22-2-222-2-2-200000000000000000000000000-22200-2000000
χ2322222222-22222-2-2-2-2-2-2-2-2-2-2-2222000000002i2i−2i−2i00002i2i−2i−2i000000000000000000
χ2422222222-22222-2-2-2-2-2-2-2-2-2-2-222200000000−2i−2i2i2i0000−2i−2i2i2i000000000000000000
χ2522222222-2-2-2-2-22-2-222-2222-2-2-2-22000000000000000000000000002-2200-2000000
χ2622222222-2-2-2-2-22-2-222-2222-2-2-2-2200000000000000000000000000-22-2002000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000002i2i−2i−2i0000−2i−2i2i2i000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000−2i−2i2i2i00002i2i−2i−2i000000000000000000
χ29222-22-2-2-2-22i2i−2i−2i02200-202i−2i0000022−2−2i2i2−i2−i200002-2000000002i−2i000000002−2i2−i200
χ30222-22-2-2-2-22i2i−2i−2i02200-202i−2i0000022−2−2i2i2−i2−i20000-2200000000−2i2i00000000−22−i2i200
χ31222-22-2-2-2-22i2i−2i−2i02200-202i−2i00000−2−222−i2−i2i2i200002-2000000002i−2i00000000−22−i2i200
χ32222-22-2-2-2-22i2i−2i−2i02200-202i−2i00000−2−222−i2−i2i2i20000-2200000000−2i2i000000002−2i2−i200
χ33222-22-2-2-2-2−2i−2i2i2i02200-20−2i2i0000022−2−2−i2−i2i2i200002-200000000−2i2i000000002−2−i2i200
χ34222-22-2-2-2-2−2i−2i2i2i02200-20−2i2i0000022−2−2−i2−i2i2i20000-22000000002i−2i00000000−22i2−i200
χ35222-22-2-2-2-2−2i−2i2i2i02200-20−2i2i00000−2−222i2i2−i2−i200002-200000000−2i2i00000000−22i2−i200
χ36222-22-2-2-2-2−2i−2i2i2i02200-20−2i2i00000−2−222i2i2−i2−i20000-22000000002i−2i000000002−2−i2i200
χ372-2-2-222-222000022-22-2-2-200002-202-22-20000000000002i−2i2i−2i0000000002i−2i0000000
χ382-2-2-222-222000022-22-2-2-200002-202-22-2000000000000−2i2i−2i2i000000000−2i2i0000000
χ392-2-2-222-222000022-22-2-2-200002-20-22-220000000000002i−2i2i−2i000000000−2i2i0000000
χ402-2-2-222-222000022-22-2-2-200002-20-22-22000000000000−2i2i−2i2i0000000002i−2i0000000
χ412-2-2-222-22-20000-2-22-222200002-2000002-22-2000000002-2-2200002-2000000000000
χ422-2-2-222-22-20000-2-22-222200002-2000002-22-200000000-222-20000-22000000000000
χ432-2-2-222-22-20000-2-22-222200002-200000-22-22000000002-2-220000-22000000000000
χ442-2-2-222-22-20000-2-22-222200002-200000-22-2200000000-222-200002-2000000000000
χ45444-44-4-4-444i4i−4i−4i0-4-40040−4i4i0000000000000000000000000000000000000000000
χ46444-44-4-4-44−4i−4i4i4i0-4-400404i−4i0000000000000000000000000000000000000000000
χ4744-44-44-4-404i−4i4i−4i00000000000000000000000000002i2−2i2000022−220000000000000000
χ4844-44-44-4-404i−4i4i−4i0000000000000000000000000000−2i22i20000−22220000000000000000
χ4944-44-44-4-40−4i4i−4i4i00000000000000000000000000002i2−2i20000−22220000000000000000
χ5044-44-44-4-40−4i4i−4i4i0000000000000000000000000000−2i22i2000022−220000000000000000
χ5144-4-4-4-44404-4-44400-4-404004-400000000000000000000000000000000000000000
χ5244-4-4-4-44404-4-44-400440-400-4400000000000000000000000000000000000000000
χ5344-4-4-4-4440-444-4400-4-40400-4400000000000000000000000000000000000000000
χ5444-4-4-4-4440-444-4-400440-4004-400000000000000000000000000000000000000000
χ554-444-4-4-4400000400-440-40000000000000002i2−2i22i2−2i200000000000000000000000000
χ564-444-4-4-4400000400-440-4000000000000000−2i22i2−2i22i200000000000000000000000000
χ574-444-4-4-4400000-4004-40400000000000000022−22−222200000000000000000000000000
χ584-444-4-4-4400000-4004-404000000000000000−222222−2200000000000000000000000000
χ594-4-444-44-4400000-4400-40000000000002i2−2i2−2i22i2000000000000000000000000000000
χ604-4-444-44-4400000-4400-4000000000000−2i22i22i2−2i2000000000000000000000000000000
χ614-4-444-44-4-4000004-40040000000022−22−22220000000000000000000000000000000000
χ624-4-444-44-4-4000004-400400000000−222222−220000000000000000000000000000000000
χ634-4-4-444-4440000-44-4-44-440000-44000000000000000000000000000000000000000
χ644-4-4-444-44-400004-444-44-40000-44000000000000000000000000000000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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