Finite Group Databasebeta

← Group #308510

Character table — Group #308510

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-111111111111111-1-1-1-11-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111
χ51111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111
χ71111111111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111111-1-1-1
χ911111111111111111-1-1-1-11111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11
χ1011111111111111111-1-1-1-11111111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-11-1-111-1-111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-11-111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-11-1-1-1-11111-1
χ17222222222-2-2222-2-2-22222-2000000-2-2002200-2-20000002200000000-20000000000
χ18222222222-2-2222-2-2-22222-2000000-2-200-2-20022000000-2-20000000020000000000
χ19222222222-2-2222-2-2-2-2-2-2-2-20000002200220022000000-2-200000000-20000000000
χ20222222222-2-2222-2-2-2-2-2-2-2-20000002200-2-200-2-2000000220000000020000000000
χ2122222222-222-2-2-222-20000-2222222002200-2-200-2-2000000000000000-2000000000
χ2222222222-222-2-2-222-20000-22222-2-200-2-2002200-2-20000000000000002000000000
χ2322222222-222-2-2-222-20000-2-2-2-2-22200-2-200-2-200220000000000000002000000000
χ2422222222-222-2-2-222-20000-2-2-2-2-2-2-2002200220022000000000000000-2000000000
χ252-222-22-2-2222-22-2-2-2222-2-2-20000002-2000000000000000000002-20000002-200000
χ262-222-22-2-2222-22-2-2-2222-2-2-20000002-200000000000000000000-22000000-2200000
χ272-222-22-2-2222-22-2-2-22-2-222-2000000-22000000000000000000002-2000000-2200000
χ282-222-22-2-2222-22-2-2-22-2-222-2000000-2200000000000000000000-220000002-200000
χ292-222-22-2-22-2-2-22-222-222-2-2200002i−2i-2200002i−2i00000000000000002i−2i00000000000
χ302-222-22-2-22-2-2-22-222-222-2-220000−2i2i-220000−2i2i0000000000000000−2i2i00000000000
χ312-222-22-2-22-2-2-22-222-2-2-222200002i−2i2-200002i−2i0000000000000000−2i2i00000000000
χ322-222-22-2-22-2-2-22-222-2-2-22220000−2i2i2-20000−2i2i00000000000000002i−2i00000000000
χ332-222-22-2-2-2-2-22-222220000-200002i−2i000000−2i2i000022-2-20000000000002i−2i0000000
χ342-222-22-2-2-2-2-22-222220000-200002i−2i000000−2i2i0000-2-222000000000000−2i2i0000000
χ352-222-22-2-2-2-2-22-222220000-20000−2i2i0000002i−2i000022-2-2000000000000−2i2i0000000
χ362-222-22-2-2-2-2-22-222220000-20000−2i2i0000002i−2i0000-2-2220000000000002i−2i0000000
χ372-22-22-2-22200-2-220002-22-20i2i2−i2−i20000002-20000i2−i2i2−i2i2−i22-2i2i2−i2−i20000000000i2−i2000
χ382-22-22-2-22200-2-220002-22-20i2i2−i2−i2000000-220000i2−i2i2−i2i2−i2-22−i2−i2i2i20000000000−i2i2000
χ392-22-22-2-22200-2-220002-22-20−i2−i2i2i20000002-20000−i2i2−i2i2−i2i22-2−i2−i2i2i20000000000−i2i2000
χ402-22-22-2-22200-2-220002-22-20−i2−i2i2i2000000-220000−i2i2−i2i2−i2i2-22i2i2−i2−i20000000000i2−i2000
χ412-22-22-2-22200-2-22000-22-220i2i2−i2−i20000002-20000i2−i2−i2i2−i2i2-22−i2−i2i2i20000000000i2−i2000
χ422-22-22-2-22200-2-22000-22-220i2i2−i2−i2000000-220000i2−i2−i2i2−i2i22-2i2i2−i2−i20000000000−i2i2000
χ432-22-22-2-22200-2-22000-22-220−i2−i2i2i20000002-20000−i2i2i2−i2i2−i2-22i2i2−i2−i20000000000−i2i2000
χ442-22-22-2-22200-2-22000-22-220−i2−i2i2i2000000-220000−i2i2i2−i2i2−i22-2−i2−i2i2i20000000000i2−i2000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-44004-4-40004-4-4400000000000000000000000000000000000000000000
χ47444-4-4-44-44004-4-4000-444-400000000000000000000000000000000000000000000
χ48444-4-4-44-4-400-444000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ49444-4-4-44-4-400-44400000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ5044-444-4-4-40000000000000022−2222−22000000000022−22000000002-22-2000000000000000
χ5144-444-4-4-40000000000000022−2222−220000000000−222200000000-22-22000000000000000
χ5244-444-4-4-400000000000000−2222−2222000000000022−2200000000-22-22000000000000000
χ5344-444-4-4-400000000000000−2222−22220000000000−2222000000002-22-2000000000000000
χ5444-4-4-44-4404-40004-400000000000000000000000000000000000000000000002i2−2i20
χ5544-4-4-44-4404-40004-40000000000000000000000000000000000000000000000−2i22i20
χ5644-4-4-44-440-44000-44000000000000004i−4i000000000000000000000000000000000
χ5744-4-4-44-440-44000-4400000000000000−4i4i000000000000000000000000000000000
χ584-444-44-4-4-4444-44-4-4-4000040000000000000000000000000000000000000000000
χ594-44-44-4-44-40044-4000000002i22i2−2i2−2i2000000000000−2i22i20000000000000000000000000
χ604-44-44-4-44-40044-400000000−2i2−2i22i22i20000000000002i2−2i20000000000000000000000000
χ614-4-4-4444-404-4000-440000004i−4i−4i4i000000000000000000000000000000000000000
χ624-4-4-4444-404-4000-44000000−4i4i4i−4i000000000000000000000000000000000000000
χ634-4-4-4444-40-440004-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ644-4-4-4444-40-440004-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ658-8-88-8-888000000000000000000000000000000000000000000000000000000000

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