Finite Group Databasebeta

← Group #310348

Character table — Group #310348

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1111111-1-111-1
χ91111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1111111-1
χ111111111111111111-1-1-1-1111111-1-11111-1-111111111-1-1-1-11111-11-1-1-1-1-1-11111-1-1-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111-1-1-11111-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1111-1-111-1-11111-1
χ17222222222-222-2-2-220000-2-2222200222200-2-2-2-20000000000000-20000000000000
χ18222222222-222-2-2-220000-2-2222200-2-2-2-20022-2-2000000000000020000000000000
χ19222222222-222-2-2-220000-2-2-2-2-2-20022-2-200-2-222000000000000020000000000000
χ20222222222-222-2-2-220000-2-2-2-2-2-200-2-2220022220000000000000-20000000000000
χ2122222222-22-2-2222-22222-2-20000220000-2-20000-2-22200000000-200000000000000
χ2222222222-22-2-2222-22222-2-20000-2-20000-2-2000022-2-200000000200000000000000
χ2322222222-22-2-2222-2-2-2-2-2-2-2000022000022000022-2-200000000-200000000000000
χ2422222222-22-2-2222-2-2-2-2-2-2-20000-2-20000220000-2-22200000000200000000000000
χ2522-2-222-2-20200-2-22022-2-200i2i2−i2−i22-200000000i2−i2002-2i2i2−i2−i2i2i2−i2−i2000000000000i2−i20
χ2622-2-222-2-20200-2-22022-2-200i2i2−i2−i2-2200000000i2−i200-22i2i2−i2−i2−i2−i2i2i2000000000000−i2i20
χ2722-2-222-2-20200-2-22022-2-200−i2−i2i2i22-200000000−i2i2002-2−i2−i2i2i2−i2−i2i2i2000000000000−i2i20
χ2822-2-222-2-20200-2-22022-2-200−i2−i2i2i2-2200000000−i2i200-22−i2−i2i2i2i2i2−i2−i2000000000000i2−i20
χ2922-2-222-2-20200-2-220-2-22200i2i2−i2−i22-200000000i2−i200-22−i2−i2i2i2−i2−i2i2i2000000000000i2−i20
χ3022-2-222-2-20200-2-220-2-22200i2i2−i2−i2-2200000000i2−i2002-2−i2−i2i2i2i2i2−i2−i2000000000000−i2i20
χ3122-2-222-2-20200-2-220-2-22200−i2−i2i2i22-200000000−i2i200-22i2i2−i2−i2i2i2−i2−i2000000000000−i2i20
χ3222-2-222-2-20200-2-220-2-22200−i2−i2i2i2-2200000000−i2i2002-2i2i2−i2−i2−i2−i2i2i2000000000000i2−i20
χ332-2-22-222-222-2-2-22-222i−2i2i−2i2-200000000002i−2i00000000000000000000002i−2i2-200000
χ342-2-22-222-222-2-2-22-222i−2i2i−2i2-200000000002i−2i0000000000000000000000−2i2i-2200000
χ352-2-22-222-222-2-2-22-22−2i2i−2i2i2-20000000000−2i2i00000000000000000000002i−2i-2200000
χ362-2-22-222-222-2-2-22-22−2i2i−2i2i2-20000000000−2i2i0000000000000000000000−2i2i2-200000
χ372-2-22-222-2-2222-22-2-22i−2i2i−2i-220000002i−2i00−2i2i2i−2i00000000000000002-200000000000
χ382-2-22-222-2-2222-22-2-22i−2i2i−2i-22000000−2i2i00−2i2i−2i2i0000000000000000-2200000000000
χ392-2-22-222-2-2222-22-2-2−2i2i−2i2i-220000002i−2i002i−2i2i−2i0000000000000000-2200000000000
χ402-2-22-222-2-2222-22-2-2−2i2i−2i2i-22000000−2i2i002i−2i−2i2i00000000000000002-200000000000
χ412-2-22-222-2-2-2222-22-200002-20000002i−2i0000−2i2i0000002i−2i2i−2i000000002-2000000000
χ422-2-22-222-2-2-2222-22-200002-20000002i−2i0000−2i2i000000−2i2i−2i2i00000000-22000000000
χ432-2-22-222-2-2-2222-22-200002-2000000−2i2i00002i−2i0000002i−2i2i−2i00000000-22000000000
χ442-2-22-222-2-2-2222-22-200002-2000000−2i2i00002i−2i000000−2i2i−2i2i000000002-2000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ464444-4-4-4-4404-4000-4000000000000004-4000000000000000000000000000000000
χ474444-4-4-4-4404-4000-400000000000000-44000000000000000000000000000000000
χ484444-4-4-4-4-40-440004000000000000000000000000000000000000000000002i2−2i2000
χ494444-4-4-4-4-40-44000400000000000000000000000000000000000000000000−2i22i2000
χ5044-4-444-4-40-40044-400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ5144-4-444-4-40-40044-40000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ524-44-44-44-4000000000000002i2−2i22i2−2i20000000000002i2−2i20000002-22-2000000000000000
χ534-44-44-44-4000000000000002i2−2i22i2−2i2000000000000−2i22i2000000-22-22000000000000000
χ544-44-44-44-400000000000000−2i22i2−2i22i20000000000002i2−2i2000000-22-22000000000000000
χ554-44-44-44-400000000000000−2i22i2−2i22i2000000000000−2i22i20000002-22-2000000000000000
χ564-44-4-44-4404004-4-404i−4i−4i4i000000000000000000000000000000000000000000000
χ574-44-4-44-4404004-4-40−4i4i4i−4i000000000000000000000000000000000000000000000
χ584-44-4-44-440-400-44400000000000000000000000000022−22−22220000000000000000000
χ594-44-4-44-440-400-444000000000000000000000000000−222222−220000000000000000000
χ604-4-444-4-4440-44000-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ614-4-444-4-4440-44000-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ624-4-444-4-44-404-400040000004-4-44000000000000000000000000000000000000000
χ634-4-444-4-44-404-40004000000-444-4000000000000000000000000000000000000000
χ644-4-44-444-44-4-4-44-4440000-440000000000000000000000000000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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