Finite Group Databasebeta

← Group #287387

Character table — Group #287387

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888822244444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111
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
χ91111111111-1-1-1-111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11-1
χ101111111111-1-1-1-111111111-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-11
χ111111111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-11
χ121111111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-111-1-11-1
χ131111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-11
χ141111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1
χ151111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-1111-1
χ161111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-11
χ17222222222-2222222-2-22-2-2-222-2-2-20000000022-2-200000000-2-22200000000000000
χ18222222222-2222222-2-22-2-2-222-2-2-200000000-2-2220000000022-2-200000000000000
χ19222222222-2-2-2-2-222-2-22-2-2-2-2-222200000000222200000000-2-2-2-200000000000000
χ20222222222-2-2-2-2-222-2-22-2-2-2-2-222200000000-2-2-2-200000000222200000000000000
χ2122222222-222222-2-222-22-2-2-2-222-2000000000000000000000000002-22-200000000
χ2222222222-222222-2-222-22-2-2-2-222-200000000000000000000000000-22-2200000000
χ2322222222-22-2-2-2-2-2-222-22-2-222-2-22000000000000000000000000002-2-2200000000
χ2422222222-22-2-2-2-2-2-222-22-2-222-2-2200000000000000000000000000-222-200000000
χ2522222222-2-22222-2-2-2-2-2-222-2-2-2-222i2i−2i−2i000000002i2i−2i−2i0000000000000000000000
χ2622222222-2-22222-2-2-2-2-2-222-2-2-2-22−2i−2i2i2i00000000−2i−2i2i2i0000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-22i2i−2i−2i00000000−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2−2i−2i2i2i000000002i2i−2i−2i0000000000000000000000
χ29222-2-22-2-2-202i2i−2i−2i2200-20002i−2i0000000i2i2−i2−i22-200000022−2−2002i−2i00000000i2−i22−200
χ30222-2-22-2-2-202i2i−2i−2i2200-20002i−2i0000000i2i2−i2−i2-2200000022−2−200−2i2i00000000−i2i2−2200
χ31222-2-22-2-2-202i2i−2i−2i2200-20002i−2i0000000−i2−i2i2i22-2000000−2−222002i−2i00000000−i2i2−2200
χ32222-2-22-2-2-202i2i−2i−2i2200-20002i−2i0000000−i2−i2i2i2-22000000−2−22200−2i2i00000000i2−i22−200
χ33222-2-22-2-2-20−2i−2i2i2i2200-2000−2i2i0000000i2i2−i2−i22-2000000−2−22200−2i2i00000000i2−i2−2200
χ34222-2-22-2-2-20−2i−2i2i2i2200-2000−2i2i0000000i2i2−i2−i2-22000000−2−222002i−2i00000000−i2i22−200
χ35222-2-22-2-2-20−2i−2i2i2i2200-2000−2i2i0000000−i2−i2i2i22-200000022−2−200−2i2i00000000−i2i22−200
χ36222-2-22-2-2-20−2i−2i2i2i2200-2000−2i2i0000000−i2−i2i2i2-2200000022−2−2002i−2i00000000i2−i2−2200
χ372-2222-2-2-22-200002-22-2-222-20000000002i−2i2i−2i00002i−2i2i−2i000000002-2000000000000
χ382-2222-2-2-22-200002-22-2-222-20000000002i−2i2i−2i0000−2i2i−2i2i00000000-22000000000000
χ392-2222-2-2-22-200002-22-2-222-2000000000−2i2i−2i2i00002i−2i2i−2i00000000-22000000000000
χ402-2222-2-2-22-200002-22-2-222-2000000000−2i2i−2i2i0000−2i2i−2i2i000000002-2000000000000
χ412-2222-2-2-2-220000-22-222-22-2000000000000000002-2-222i−2i2i−2i00000000002i−2i000000
χ422-2222-2-2-2-220000-22-222-22-2000000000000000002-2-22−2i2i−2i2i0000000000−2i2i000000
χ432-2222-2-2-2-220000-22-222-22-200000000000000000-222-22i−2i2i−2i0000000000−2i2i000000
χ442-2222-2-2-2-220000-22-222-22-200000000000000000-222-2−2i2i−2i2i00000000002i−2i000000
χ45444-4-44-4-4404i4i−4i−4i-4-4004000−4i4i00000000000000000000000000000000000000000
χ46444-4-44-4-440−4i−4i4i4i-4-40040004i−4i00000000000000000000000000000000000000000
χ4744-44-4-44-4004-44-4000000000000000000000002i2−2i2000000002i2−2i20000000000000000
χ4844-44-4-44-4004-44-400000000000000000000000−2i22i200000000−2i22i20000000000000000
χ4944-44-4-44-400-44-44000000000000000000000002i2−2i200000000−2i22i20000000000000000
χ5044-44-4-44-400-44-4400000000000000000000000−2i22i2000000002i2−2i20000000000000000
χ5144-4-44-4-44044i−4i−4i4i00-4-40400004i−4i000000000000000000000000000000000000000
χ5244-4-44-4-4404−4i4i4i−4i00-4-4040000−4i4i000000000000000000000000000000000000000
χ5344-4-44-4-440-44i−4i−4i4i00440-40000−4i4i000000000000000000000000000000000000000
χ5444-4-44-4-440-4−4i4i4i−4i00440-400004i−4i000000000000000000000000000000000000000
χ554-4444-4-4-44400004-4-44-4-4-440000000000000000000000000000000000000000000
χ564-4444-4-4-4-4-40000-444-444-440000000000000000000000000000000000000000000
χ574-44-4-4-444400000-4400-40000000000000000000000002i2−2i2−2i22i2000000000000000000
χ584-44-4-4-444400000-4400-4000000000000000000000000−2i22i22i2−2i2000000000000000000
χ594-44-4-4-444-4000004-400400000000000022−22−2222000000000000000000000000000000
χ604-44-4-4-444-4000004-4004000000000000−222222−22000000000000000000000000000000
χ614-4-4-4444-4040000004-40-400000002i2−2i22i2−2i20000000000000000000000000000000000
χ624-4-4-4444-4040000004-40-40000000−2i22i2−2i22i20000000000000000000000000000000000
χ634-4-4-4444-40-4000000-4404000000022−22−22220000000000000000000000000000000000
χ644-4-4-4444-40-4000000-44040000000−222222−220000000000000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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