Finite Group Databasebeta

← Group #270245

Character table — Group #270245

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888222244448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11-1-1-1-1-111-1-1-1
χ31111111111111111111111111111-1-1111111-1-1111111-1-1-1-1-1-11111-1-1-11-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1111
χ51111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1111-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1111-1-1-1-11
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1111-1-11111-1
χ911111111111111111-1-1-1-111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ1011111111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1
χ1111111111111111111-1-1-1-111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1111-1-111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-111-1-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-111111-111-1-1-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111111-1-11-1-11-1-1-1-1111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111111
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-11111111-1-1-1
χ17222222222-2-2222-2-2-22222-20000-2-22200000022000000-2-200000000-20000000000
χ18222222222-2-2222-2-2-22222-20000-2-2-2-2000000-2-2000000220000000020000000000
χ19222222222-2-2222-2-2-2-2-2-2-2-200002222000000-2-20000002200000000-20000000000
χ20222222222-2-2222-2-2-2-2-2-2-2-2000022-2-200000022000000-2-20000000020000000000
χ2122222222-222-2-2-222-20000-22222000022-2-2-2-200-2-20000000000000000020000000
χ2222222222-222-2-2-222-20000-222220000-2-2222200-2-200000000000000000-20000000
χ2322222222-222-2-2-222-20000-2-2-2-2-2000022-2-222002200000000000000000-20000000
χ2422222222-222-2-2-222-20000-2-2-2-2-20000-2-222-2-200220000000000000000020000000
χ252-222-22-2-22002-2-20002i2i−2i−2i022−2−2002i−2i0000002-22−2i2i2−i2−i20022−2−20000000000i2−i2000
χ262-222-22-2-22002-2-20002i2i−2i−2i022−2−200−2i2i000000-222−2i2i2−i2−i200−2−2220000000000−i2i2000
χ272-222-22-2-22002-2-20002i2i−2i−2i0−2−222002i−2i0000002-2−22−i2−i2i2i200−2−2220000000000−i2i2000
χ282-222-22-2-22002-2-20002i2i−2i−2i0−2−22200−2i2i000000-22−22−i2−i2i2i20022−2−20000000000i2−i2000
χ292-222-22-2-22002-2-2000−2i−2i2i2i022−2−2002i−2i000000-222−2−i2−i2i2i200−2−2220000000000i2−i2000
χ302-222-22-2-22002-2-2000−2i−2i2i2i022−2−200−2i2i0000002-22−2−i2−i2i2i20022−2−20000000000−i2i2000
χ312-222-22-2-22002-2-2000−2i−2i2i2i0−2−222002i−2i000000-22−22i2i2−i2−i20022−2−20000000000−i2i2000
χ322-222-22-2-22002-2-2000−2i−2i2i2i0−2−22200−2i2i0000002-2−22i2i2−i2−i200−2−2220000000000i2−i2000
χ332-22-2-2-222222-22-2-2-222-22-2-200002-20000000000000000000000000002i−2i000002i−2i0
χ342-22-2-2-222222-22-2-2-222-22-2-200002-2000000000000000000000000000−2i2i00000−2i2i0
χ352-22-2-2-222222-22-2-2-22-22-22-20000-220000000000000000000000000002i−2i00000−2i2i0
χ362-22-2-2-222222-22-2-2-22-22-22-20000-22000000000000000000000000000−2i2i000002i−2i0
χ372-22-2-2-2222-2-2-22-222-22-22-220000-22002-22-200000000000000002-20000000000000
χ382-22-2-2-2222-2-2-22-222-22-22-220000-2200-22-220000000000000000-220000000000000
χ392-22-2-2-2222-2-2-22-222-2-22-22200002-2002-22-20000000000000000-220000000000000
χ402-22-2-2-2222-2-2-22-222-2-22-22200002-200-22-2200000000000000002-20000000000000
χ412-22-2-2-222-2-2-22-222220000-2000000002-2-220000002-22-2000000002-200000000000
χ422-22-2-2-222-2-2-22-222220000-2000000002-2-22000000-22-2200000000-2200000000000
χ432-22-2-2-222-2-2-22-222220000-200000000-222-20000002-22-200000000-2200000000000
χ442-22-2-2-222-2-2-22-222220000-200000000-222-2000000-22-22000000002-200000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-44-4-4-4400-4-440004i−4i−4i4i00000000000000000000000000000000000000000000
χ47444-44-4-4-4400-4-44000−4i4i4i−4i00000000000000000000000000000000000000000000
χ48444-44-4-4-4-40044-4000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ49444-44-4-4-4-40044-400000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ5044-4-4-44-4404-40004-400000000000000000000000000000022−2222−22000000000000000
χ5144-4-4-44-4404-40004-4000000000000000000000000000000−2222−2222000000000000000
χ5244-4-4-44-440-44000-440000004-44-4000000000000000000000000000000000000000
χ5344-4-4-44-440-44000-44000000-44-44000000000000000000000000000000000000000
χ544-444-44-4-4-400-444000000002222−22−22000000000000−22220000000000000000000000000
χ554-444-44-4-4-400-44400000000−22−22222200000000000022−220000000000000000000000000
χ564-44-4-4-444-4444-44-4-4-4000040000000000000000000000000000000000000000000
χ574-4-444-4-4404-4000-440000000000000000004-400000000000000000000000000000
χ584-4-444-4-4404-4000-44000000000000000000-4400000000000000000000000000000
χ594-4-444-4-440-440004-400000000000000000000000000000000000000000022−2200000
χ604-4-444-4-440-440004-4000000000000000000000000000000000000000000−222200000
χ614-4-4-4444-40000000000000022−22−222200000000000000000022−222-2-22000000000000000
χ624-4-4-4444-40000000000000022−22−2222000000000000000000−2222-222-2000000000000000
χ634-4-4-4444-400000000000000−222222−2200000000000000000022−22-222-2000000000000000
χ644-4-4-4444-400000000000000−222222−22000000000000000000−22222-2-22000000000000000
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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