Finite Group Databasebeta

← Group #286992

Character table — Group #286992

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888844444488888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111111111111-1-1-1-1-1-11111-11111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-11
χ10111111111111111111-1-1-1-1-1-11111-11111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111-1
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-11-1
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-11
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-111-1-111-1-1-11
χ17222222222-222-2-22-2-2-222-2-2-2-20000222-2-20000000000000000002-2000000000000
χ18222222222-222-2-22-2-2-222-2-2-2-200002-2-222000000000000000000-22000000000000
χ19222222222-222-2-22-2-2-2-2-222220000-222-2-2000000000000000000-22000000000000
χ20222222222-222-2-22-2-2-2-2-222220000-2-2-2220000000000000000002-2000000000000
χ2122222222-22-2-222-22-2-22222-2-22222-2000022000000000000-2-2-2-200000000000000
χ2222222222-22-2-222-22-2-22222-2-2-2-2-2-2-20000-2-2000000000000222200000000000000
χ2322222222-22-2-222-22-2-2-2-2-2-222222220000-2-2000000000000-2-22200000000000000
χ2422222222-22-2-222-22-2-2-2-2-2-222-2-2-2-2200002200000000000022-2-200000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2220000-20000002i2i−2i−2i0000000000000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2220000-2000000−2i−2i2i2i000000000000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-222-2-222-2-2000020000002i2i−2i−2i000000000000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-222-2-222-2-200002000000−2i−2i2i2i0000000000000000002i−2i000000
χ29222-2-2-2-222-22-22-2-222-2000000000000000002i−2i2i−2i00002i2i−2i−2i000000002-200000000
χ30222-2-2-2-222-22-22-2-222-2000000000000000002i−2i2i−2i0000−2i−2i2i2i00000000-2200000000
χ31222-2-2-2-222-22-22-2-222-200000000000000000−2i2i−2i2i00002i2i−2i−2i00000000-2200000000
χ32222-2-2-2-222-22-22-2-222-200000000000000000−2i2i−2i2i0000−2i−2i2i2i000000002-200000000
χ33222-2-2-2-22-22-22-222-22-2000000000000000002-2-222i2i−2i−2i00000000002i−2i0000000000
χ34222-2-2-2-22-22-22-222-22-2000000000000000002-2-22−2i−2i2i2i0000000000−2i2i0000000000
χ35222-2-2-2-22-22-22-222-22-200000000000000000-222-22i2i−2i−2i0000000000−2i2i0000000000
χ36222-2-2-2-22-22-22-222-22-200000000000000000-222-2−2i−2i2i2i00000000002i−2i0000000000
χ372-2-222-2-2202002-20-2002-22-20022-2-2000002-20000i2−i2i2−i2i2−i2i2−i2000000000000i2−i2i2−i200
χ382-2-222-2-2202002-20-2002-22-20022-2-2000002-20000−i2i2−i2i2−i2i2−i2i2000000000000−i2i2−i2i200
χ392-2-222-2-2202002-20-2002-22-200-2-22200000-220000i2−i2i2−i2i2−i2i2−i2000000000000−i2i2−i2i200
χ402-2-222-2-2202002-20-2002-22-200-2-22200000-220000−i2i2−i2i2−i2i2−i2i2000000000000i2−i2i2−i200
χ412-2-222-2-2202002-20-200-22-220022-2-200000-220000i2−i2i2−i2−i2i2−i2i2000000000000i2−i2−i2i200
χ422-2-222-2-2202002-20-200-22-220022-2-200000-220000−i2i2−i2i2i2−i2i2−i2000000000000−i2i2i2−i200
χ432-2-222-2-2202002-20-200-22-2200-2-222000002-20000i2−i2i2−i2−i2i2−i2i2000000000000−i2i2i2−i200
χ442-2-222-2-2202002-20-200-22-2200-2-222000002-20000−i2i2−i2i2i2−i2i2−i2000000000000i2−i2−i2i200
χ45444-4-4-4-44444-4-44-4-4-4400000000000000000000000000000000000000000000000
χ46444-4-4-4-44-4-4-444-444-4400000000000000000000000000000000000000000000000
χ4744-44-44-4-440-4400-400000000000000004-400000000000000000000000000000000
χ4844-44-44-4-440-4400-40000000000000000-4400000000000000000000000000000000
χ4944-44-44-4-4-404-4004000000000000004i−4i0000000000000000000000000000000000
χ5044-44-44-4-4-404-400400000000000000−4i4i0000000000000000000000000000000000
χ5144-4-44-44-440-4-40040000000002i2−2i22i2−2i200000000000000000002i2−2i20000000000000000
χ5244-4-44-44-440-4-4004000000000−2i22i2−2i22i20000000000000000000−2i22i20000000000000000
χ5344-4-44-44-4-404400-40000000002i2−2i22i2−2i20000000000000000000−2i22i20000000000000000
χ5444-4-44-44-4-404400-4000000000−2i22i2−2i22i200000000000000000002i2−2i20000000000000000
χ554-44-444-4-4000000000000004i−4i2i2−2i2−2i22i200000000000000000000022−2200000000000000
χ564-44-444-4-4000000000000004i−4i−2i22i22i2−2i2000000000000000000000−222200000000000000
χ574-44-444-4-400000000000000−4i4i2i2−2i2−2i22i2000000000000000000000−222200000000000000
χ584-44-444-4-400000000000000−4i4i−2i22i22i2−2i200000000000000000000022−2200000000000000
χ594-4-444-4-440-400-4404004-4-440000000000000000000000000000000000000000000
χ604-4-444-4-440-400-440400-444-40000000000000000000000000000000000000000000
χ614-4-4-4-44440400-4-4040000000000000000000000022−22−22220000000000000000000000
χ624-4-4-4-44440400-4-40400000000000000000000000−222222−220000000000000000000000
χ634-4-4-4-44440-400440-400000000000000000000000000022−22−2222000000000000000000
χ644-4-4-4-44440-400440-4000000000000000000000000000−222222−22000000000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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