Finite Group Databasebeta

← Group #308334

Character table — Group #308334

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111-1-11-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-111-1
χ71111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-11111-1-11
χ911111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11
χ1011111111111111111-1-1-1-111111111111-1-1-1-111-1-1-1-111111111-1-11-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1111
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111-1111111-1-1-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1111-1-111-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1111
χ17222222222-2-22-222-2-20000-222222222-2-20000000000-2-200000000-2000000000000
χ18222222222-2-22-222-2-20000-22222-2-2-2-2220000000000-2-2000000002000000000000
χ19222222222-2-22-222-2-20000-2-2-2-2-222-2-22200000000002200000000-2000000000000
χ20222222222-2-22-222-2-20000-2-2-2-2-2-2-222-2-2000000000022000000002000000000000
χ2122222222-222-22-2-22-22222-2000000000022-2-222000000-2-2000000000-2000000000
χ2222222222-222-22-2-22-22222-20000000000-2-2-2-2-2-2000000220000000002000000000
χ2322222222-222-22-2-22-2-2-2-2-2-200000000002222-2-200000022000000000-2000000000
χ2422222222-222-22-2-22-2-2-2-2-2-20000000000-2-22222000000-2-20000000002000000000
χ252-2222-2-2-2222-2-22-2-220000-20000002-22-200000022-2-2000000002-20000000000000
χ262-2222-2-2-2222-2-22-2-220000-20000002-22-2000000-2-22200000000-220000000000000
χ272-2222-2-2-2222-2-22-2-220000-2000000-22-2200000022-2-200000000-220000000000000
χ282-2222-2-2-2222-2-22-2-220000-2000000-22-22000000-2-222000000002-20000000000000
χ292-2222-2-2-22-2-2-222-22-22i2i−2i−2i20000002-2-22002i−2i000000000000000002i−2i0000000000
χ302-2222-2-2-22-2-2-222-22-22i2i−2i−2i2000000-222-2002i−2i00000000000000000−2i2i0000000000
χ312-2222-2-2-22-2-2-222-22-2−2i−2i2i2i20000002-2-2200−2i2i00000000000000000−2i2i0000000000
χ322-2222-2-2-22-2-2-222-22-2−2i−2i2i2i2000000-222-200−2i2i000000000000000002i−2i0000000000
χ332-2222-2-2-2-2-2-222-22222i2i−2i−2i-2000000000000−2i2i000000000000000000002i−2i00002-20
χ342-2222-2-2-2-2-2-222-22222i2i−2i−2i-2000000000000−2i2i00000000000000000000−2i2i0000-220
χ352-2222-2-2-2-2-2-222-2222−2i−2i2i2i-20000000000002i−2i000000000000000000002i−2i0000-220
χ362-2222-2-2-2-2-2-222-2222−2i−2i2i2i-20000000000002i−2i00000000000000000000−2i2i00002-20
χ372-2-2-22-22202-20200-202i−2i2i−2i022−2−20000002i−2i002-2i2−i2i2−i22−20022−2−200000000i2−i200000
χ382-2-2-22-22202-20200-202i−2i2i−2i022−2−2000000−2i2i00-22i2−i2i2−i22−200−2−22200000000−i2i200000
χ392-2-2-22-22202-20200-202i−2i2i−2i0−2−2220000002i−2i002-2−i2i2−i2i2−2200−2−22200000000−i2i200000
χ402-2-2-22-22202-20200-202i−2i2i−2i0−2−222000000−2i2i00-22−i2i2−i2i2−220022−2−200000000i2−i200000
χ412-2-2-22-22202-20200-20−2i2i−2i2i022−2−20000002i−2i00-22−i2i2−i2i22−200−2−22200000000i2−i200000
χ422-2-2-22-22202-20200-20−2i2i−2i2i022−2−2000000−2i2i002-2−i2i2−i2i22−20022−2−200000000−i2i200000
χ432-2-2-22-22202-20200-20−2i2i−2i2i0−2−2220000002i−2i00-22i2−i2i2−i2−220022−2−200000000−i2i200000
χ442-2-2-22-22202-20200-20−2i2i−2i2i0−2−222000000−2i2i002-2i2−i2i2−i2−2200−2−22200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-440040-4-400000004-44-4000000000000000000000000000000000000000
χ47444-4-4-44-440040-4-40000000-44-44000000000000000000000000000000000000000
χ48444-4-4-44-4-400-404400000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ49444-4-4-44-4-400-40440000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5044-4-444-4-404-40-400400000000000000000000002i2−2i2−2i22i200000000000000000000000
χ5144-4-444-4-404-40-40040000000000000000000000−2i22i22i2−2i200000000000000000000000
χ5244-4-444-4-40-440400-404-4-4400000000000000000000000000000000000000000000
χ5344-4-444-4-40-440400-40-444-400000000000000000000000000000000000000000000
χ544-4444-4-4-4-4444-4-44-4-4000040000000000000000000000000000000000000000000
χ554-44-4-44-44400-40-44000000000004i−4i0000000000000000000000000000000000000
χ564-44-4-44-44400-40-4400000000000−4i4i0000000000000000000000000000000000000
χ574-44-4-44-44-400404-40000000000000000000000000000000000000000000002i2−2i2000
χ584-44-4-44-44-400404-4000000000000000000000000000000000000000000000−2i22i2000
χ594-4-44-444-40000000000000022−22−22220000000000000000002i2−2i22i−2i−2i2i000000000000000
χ604-4-44-444-40000000000000022−22−2222000000000000000000−2i22i2−2i2i2i−2i000000000000000
χ614-4-44-444-400000000000000−222222−220000000000000000002i2−2i2−2i2i2i−2i000000000000000
χ624-4-44-444-400000000000000−222222−22000000000000000000−2i22i22i−2i−2i2i000000000000000
χ634-4-4-44-4440-440-40040000002222−22−220000000000000000−2222000000000000000000000
χ644-4-4-44-4440-440-4004000000−22−222222000000000000000022−22000000000000000000000
χ6588-88-8-8-88000000000000000000000000000000000000000000000000000000000

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