Finite Group Databasebeta

← Group #308152

Character table — Group #308152

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111-1111111-1-1-1
χ911111111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ1011111111111111111-1-1-1-111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-11111-1-111-1
χ172222222222-2-2-222-2-22222-2000000000022-2-200000022-2-2000000000-2000000000
χ182222222222-2-2-222-2-22222-20000000000-2-2-2-2000000-2-2220000000002000000000
χ192222222222-2-2-222-2-2-2-2-2-2-200000000002222000000-2-222000000000-2000000000
χ202222222222-2-2-222-2-2-2-2-2-2-20000000000-2-22200000022-2-20000000002000000000
χ2122222222-2-2222-2-22-20000-2222222-2-2-2-20000-2-2000000000000000020000000000
χ2222222222-2-2222-2-22-20000-22222-2-222220000-2-20000000000000000-20000000000
χ2322222222-2-2222-2-22-20000-2-2-2-2-22222-2-20000220000000000000000-20000000000
χ2422222222-2-2222-2-22-20000-2-2-2-2-2-2-2-2-222000022000000000000000020000000000
χ252-222-22-2-2222-22-2-2-220000-200002-2002-200000022-2-200000000002-200000000000
χ262-222-22-2-2222-22-2-2-220000-200002-2002-2000000-2-2220000000000-2200000000000
χ272-222-22-2-2222-22-2-2-220000-20000-2200-2200000022-2-20000000000-2200000000000
χ282-222-22-2-2222-22-2-2-220000-20000-2200-22000000-2-22200000000002-200000000000
χ292-222-22-2-2-2-22-2222-2-22i2i−2i−2i200002-200-22002i−2i000000000000002i−2i0000000000000
χ302-222-22-2-2-2-22-2222-2-22i2i−2i−2i20000-22002-2002i−2i00000000000000−2i2i0000000000000
χ312-222-22-2-2-2-22-2222-2-2−2i−2i2i2i200002-200-2200−2i2i00000000000000−2i2i0000000000000
χ322-222-22-2-2-2-22-2222-2-2−2i−2i2i2i20000-22002-200−2i2i000000000000002i−2i0000000000000
χ332-222-22-2-2-2-2-22-222222i2i−2i−2i-2000000000000−2i2i000000000000000000002i−2i002-2000
χ342-222-22-2-2-2-2-22-222222i2i−2i−2i-2000000000000−2i2i00000000000000000000−2i2i00-22000
χ352-222-22-2-2-2-2-22-22222−2i−2i2i2i-20000000000002i−2i000000000000000000002i−2i00-22000
χ362-222-22-2-2-2-2-22-22222−2i−2i2i2i-20000000000002i−2i00000000000000000000−2i2i002-2000
χ372-22-22-2-222-20002-2002i−2i2i−2i0i2i2−i2−i20000002i−2i00i2−i22−22−22-200i2i2−i2−i2000000002−200000
χ382-22-22-2-222-20002-2002i−2i2i−2i0i2i2−i2−i2000000−2i2i00i2−i22−22−2-2200−i2−i2i2i200000000−2200000
χ392-22-22-2-222-20002-2002i−2i2i−2i0−i2−i2i2i20000002i−2i00−i2i2−22−222-200−i2−i2i2i200000000−2200000
χ402-22-22-2-222-20002-2002i−2i2i−2i0−i2−i2i2i2000000−2i2i00−i2i2−22−22-2200i2i2−i2−i2000000002−200000
χ412-22-22-2-222-20002-200−2i2i−2i2i0i2i2−i2−i20000002i−2i00i2−i2−22−22-2200−i2−i2i2i2000000002−200000
χ422-22-22-2-222-20002-200−2i2i−2i2i0i2i2−i2−i2000000−2i2i00i2−i2−22−222-200i2i2−i2−i200000000−2200000
χ432-22-22-2-222-20002-200−2i2i−2i2i0−i2−i2i2i20000002i−2i00−i2i22−22−2-2200i2i2−i2−i200000000−2200000
χ442-22-22-2-222-20002-200−2i2i−2i2i0−i2−i2i2i2000000−2i2i00−i2i22−22−22-200−i2−i2i2i2000000002−200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-44-4000-440000000000000000000000022−22−222200000000000000000000000
χ47444-4-4-44-44-4000-4400000000000000000000000−222222−2200000000000000000000000
χ48444-4-4-44-4-440004-4004-4-4400000000000000000000000000000000000000000000
χ49444-4-4-44-4-440004-400-444-400000000000000000000000000000000000000000000
χ5044-444-4-4-4004-4-4004000000000000000000000000000000000000000000000022−220
χ5144-444-4-4-4004-4-40040000000000000000000000000000000000000000000000−22220
χ5244-444-4-4-400-44400-40000000000004-400000000000000000000000000000000000
χ5344-444-4-4-400-44400-4000000000000-4400000000000000000000000000000000000
χ5444-4-4-44-44000000000000002i2−2i22i2−2i20000000000000000002i2−2i22-22-2000000000000000
χ5544-4-4-44-44000000000000002i2−2i22i2−2i2000000000000000000−2i22i2-22-22000000000000000
χ5644-4-4-44-4400000000000000−2i22i2−2i22i20000000000000000002i2−2i2-22-22000000000000000
χ5744-4-4-44-4400000000000000−2i22i2−2i22i2000000000000000000−2i22i22-22-2000000000000000
χ584-444-44-4-444-44-4-4-44-4000040000000000000000000000000000000000000000000
χ594-44-44-4-44-44000-4400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ604-44-44-4-44-44000-440000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ614-4-44-4-4440044-400-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ624-4-44-4-4440044-400-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ634-4-44-4-44400-4-440040000004-4-44000000000000000000000000000000000000000
χ644-4-44-4-44400-4-44004000000-444-4000000000000000000000000000000000000000
χ658-8-8-8888-8000000000000000000000000000000000000000000000000000000000

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