Finite Group Databasebeta

← Group #308638

Character table — Group #308638

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111111111111111-1-11-1-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-11111-1-1-1
χ71111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-1111-1-1-11111-1-1-1-1-1
χ81111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111
χ911111111111111111-1-1-1-111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11
χ1011111111111111111-1-1-1-111111-1-1111111-1-11111-1-1-1-1111111-1-1-11-1-1-1-111-1-111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111-11-1-111-1-11111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111111-111-1-1-1-1-1-111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-11
χ172222222222-2-2-222-2-20000-22222002222-2-20000-2-20000000000000-200000000000
χ182222222222-2-2-222-2-20000-2222200-2-2-2-2220000-2-20000000000000200000000000
χ192222222222-2-2-222-2-20000-2-2-2-2-20022-2-2220000220000000000000-200000000000
χ202222222222-2-2-222-2-20000-2-2-2-2-200-2-222-2-20000220000000000000200000000000
χ2122222222-2-2222-2-22-22222-20000-2-200000022-2-200000022000000-2000000000000
χ2222222222-2-2222-2-22-22222-20000-2-2000000-2-222000000-2-20000002000000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-20000220000002222000000-2-2000000-2000000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-2000022000000-2-2-2-2000000220000002000000000000
χ252222-2-2-2-2222-22-2-2-2222-2-2-200002-200000000000000000000002-20000002-200000
χ262222-2-2-2-2222-22-2-2-2222-2-2-200002-20000000000000000000000-22000000-2200000
χ272222-2-2-2-2222-22-2-2-22-2-222-20000-2200000000000000000000002-2000000-2200000
χ282222-2-2-2-2222-22-2-2-22-2-222-20000-220000000000000000000000-220000002-200000
χ292222-2-2-2-2-2-22-2222-2-222-2-220000-22002i−2i2i−2i00000000000000000000002i−2i0000000
χ302222-2-2-2-2-2-22-2222-2-222-2-220000-2200−2i2i−2i2i0000000000000000000000−2i2i0000000
χ312222-2-2-2-2-2-22-2222-2-2-2-222200002-2002i−2i2i−2i0000000000000000000000−2i2i0000000
χ322222-2-2-2-2-2-22-2222-2-2-2-222200002-200−2i2i−2i2i00000000000000000000002i−2i0000000
χ332222-2-2-2-2-2-2-22-222220000-2000000002i−2i−2i2i00000022-2-200000000002i−2i000000000
χ342222-2-2-2-2-2-2-22-222220000-2000000002i−2i−2i2i000000-2-2220000000000−2i2i000000000
χ352222-2-2-2-2-2-2-22-222220000-200000000−2i2i2i−2i00000022-2-20000000000−2i2i000000000
χ362222-2-2-2-2-2-2-22-222220000-200000000−2i2i2i−2i000000-2-22200000000002i−2i000000000
χ372-22-222-2-200-22200-202-22-20i2i2−i2−i2000000002i−2i00i2−i2i2−i2i2−i22i−2i22−2−200000000002−2000
χ382-22-222-2-200-22200-202-22-20i2i2−i2−i200000000−2i2i00i2−i2i2−i2i2−i2−2i2i−2−2220000000000−22000
χ392-22-222-2-200-22200-202-22-20−i2−i2i2i2000000002i−2i00−i2i2−i2i2−i2i22i−2i−2−2220000000000−22000
χ402-22-222-2-200-22200-202-22-20−i2−i2i2i200000000−2i2i00−i2i2−i2i2−i2i2−2i2i22−2−200000000002−2000
χ412-22-222-2-200-22200-20-22-220i2i2−i2−i2000000002i−2i00i2−i2−i2i2−i2i2−2i2i−2−22200000000002−2000
χ422-22-222-2-200-22200-20-22-220i2i2−i2−i200000000−2i2i00i2−i2−i2i2−i2i22i−2i22−2−20000000000−22000
χ432-22-222-2-200-22200-20-22-220−i2−i2i2i2000000002i−2i00−i2i2i2−i2i2−i2−2i2i22−2−20000000000−22000
χ442-22-222-2-200-22200-20-22-220−i2−i2i2i200000000−2i2i00−i2i2i2−i2i2−i22i−2i−2−22200000000002−2000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ464444-4-4-4-444-44-4-4-44-4000040000000000000000000000000000000000000000000
χ4744-4-44-4-444-40004-400000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ4844-4-44-4-444-40004-40000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ4944-4-44-4-44-44000-4400000004i−4i4i−4i000000000000000000000000000000000000000
χ5044-4-44-4-44-44000-440000000−4i4i−4i4i000000000000000000000000000000000000000
χ5144-4-4-444-44-4000-4400000000000004i−4i00000000000000000000000000000000000
χ5244-4-4-444-44-4000-440000000000000−4i4i00000000000000000000000000000000000
χ5344-4-4-444-4-440004-4000000000000000000000000000000000000000000000002i2−2i20
χ5444-4-4-444-4-440004-400000000000000000000000000000000000000000000000−2i22i20
χ554-44-444-4-4004-4-40040000002i22i2−2i2−2i2000000000000−2i22i20000000000000000000000000
χ564-44-444-4-4004-4-4004000000−2i2−2i22i22i20000000000002i2−2i20000000000000000000000000
χ574-44-4-4-4440044-400-40000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ584-44-4-4-4440044-400-4000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ594-44-4-4-44400-4-4400404-4-4400000000000000000000000000000000000000000000
χ604-44-4-4-44400-4-440040-444-400000000000000000000000000000000000000000000
χ614-4-444-44-40000000000000022−22−222200000000002i2−2i2000000002i−2i−2i2i000000000000000
χ624-4-444-44-40000000000000022−22−22220000000000−2i22i200000000−2i2i2i−2i000000000000000
χ634-4-444-44-400000000000000−222222−2200000000002i2−2i200000000−2i2i2i−2i000000000000000
χ644-4-444-44-400000000000000−222222−220000000000−2i22i2000000002i−2i−2i2i000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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