Finite Group Databasebeta

← Group #310404

Character table — Group #310404

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-111111111111111-1-11-1-1-1-1-111-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1111-111-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-1111
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111-1-11-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111111-1-1-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11
χ1011111111111111111-1-1-1-111111-1-11111-1-1111111-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111111-1-1-111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-11111111-1-111-1
χ17222222222-2-22-2-222-22222-20000-2-20000220000220000-2-2000000-2000000000000
χ18222222222-2-22-2-222-22222-20000-2-20000-2-20000-2-20000220000002000000000000
χ19222222222-2-22-2-222-2-2-2-2-2-20000220000220000-2-2000022000000-2000000000000
χ20222222222-2-22-2-222-2-2-2-2-2-20000220000-2-20000220000-2-20000002000000000000
χ2122222222-222-222-2-2-20000-222220022-2-200-2-2-2-2000000000000000002000000000
χ2222222222-222-222-2-2-20000-2222200-2-2220022-2-200000000000000000-2000000000
χ2322222222-222-222-2-2-20000-2-2-2-2-200222200-2-22200000000000000000-2000000000
χ2422222222-222-222-2-2-20000-2-2-2-2-200-2-2-2-2002222000000000000000002000000000
χ25222-2-2-22-2-200-2002202i2i−2i−2i022−2−20000002-2002−22i−2ii2i2−i2−i200i2i2−i2−i2000000002−200000
χ26222-2-2-22-2-200-2002202i2i−2i−2i022−2−2000000-22002−2−2i2ii2i2−i2−i200−i2−i2i2i200000000−2200000
χ27222-2-2-22-2-200-2002202i2i−2i−2i0−2−2220000002-200−222i−2i−i2−i2i2i200−i2−i2i2i200000000−2200000
χ28222-2-2-22-2-200-2002202i2i−2i−2i0−2−222000000-2200−22−2i2i−i2−i2i2i200i2i2−i2−i2000000002−200000
χ29222-2-2-22-2-200-200220−2i−2i2i2i022−2−20000002-2002−2−2i2i−i2−i2i2i200−i2−i2i2i2000000002−200000
χ30222-2-2-22-2-200-200220−2i−2i2i2i022−2−2000000-22002−22i−2i−i2−i2i2i200i2i2−i2−i200000000−2200000
χ31222-2-2-22-2-200-200220−2i−2i2i2i0−2−2220000002-200−22−2i2ii2i2−i2−i200i2i2−i2−i200000000−2200000
χ32222-2-2-22-2-200-200220−2i−2i2i2i0−2−222000000-2200−222i−2ii2i2−i2−i200−i2−i2i2i2000000002−200000
χ332-2-222-22-2222-2-2-22-2-22i−2i2i−2i200002i−2i2i−2i00002i−2i000000000000000002-20000000000
χ342-2-222-22-2222-2-2-22-2-22i−2i2i−2i200002i−2i−2i2i0000−2i2i00000000000000000-220000000000
χ352-2-222-22-2222-2-2-22-2-2−2i2i−2i2i20000−2i2i2i−2i00002i−2i00000000000000000-220000000000
χ362-2-222-22-2222-2-2-22-2-2−2i2i−2i2i20000−2i2i−2i2i0000−2i2i000000000000000002-20000000000
χ372-2-222-22-22-2-2-2222-222i−2i2i−2i-20000−2i2i00000000000000000000000000002i−2i002-2000
χ382-2-222-22-22-2-2-2222-222i−2i2i−2i-20000−2i2i0000000000000000000000000000−2i2i00-22000
χ392-2-222-22-22-2-2-2222-22−2i2i−2i2i-200002i−2i00000000000000000000000000002i−2i00-22000
χ402-2-222-22-22-2-2-2222-22−2i2i−2i2i-200002i−2i0000000000000000000000000000−2i2i002-2000
χ412-2-222-22-2-2222-2-2-2220000-20000002i−2i0000−2i2i00002i−2i2i−2i0000002-20000000000000
χ422-2-222-22-2-2222-2-2-2220000-20000002i−2i0000−2i2i0000−2i2i−2i2i000000-220000000000000
χ432-2-222-22-2-2222-2-2-2220000-2000000−2i2i00002i−2i00002i−2i2i−2i000000-220000000000000
χ442-2-222-22-2-2222-2-2-2220000-2000000−2i2i00002i−2i0000−2i2i−2i2i0000002-20000000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-4400400-4-40000002222−22−220000000000−2222000000000000000000000000000
χ47444-4-4-44-4400400-4-4000000−22−222222000000000022−22000000000000000000000000000
χ4844-4-44-4-4404-404-40000000000000000000000000000000000000000000000002i2−2i20
χ4944-4-44-4-4404-404-4000000000000000000000000000000000000000000000000−2i22i20
χ5044-4-44-4-440-440-4400000000000000004i−4i000000000000000000000000000000000
χ5144-4-44-4-440-440-440000000000000000−4i4i000000000000000000000000000000000
χ524-444-4-4-44000000000000002i2−2i22i2−2i20000000000000000002i2−2i22-22-2000000000000000
χ534-444-4-4-44000000000000002i2−2i22i2−2i2000000000000000000−2i22i2-22-22000000000000000
χ544-444-4-4-4400000000000000−2i22i2−2i22i20000000000000000002i2−2i2-22-22000000000000000
χ554-444-4-4-4400000000000000−2i22i2−2i22i2000000000000000000−2i22i22-22-2000000000000000
χ564-44-444-4-404-40-44000000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ574-44-444-4-404-40-4400000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ584-44-444-4-40-4404-4000000004i−4i−4i4i000000000000000000000000000000000000000
χ594-44-444-4-40-4404-400000000−4i4i4i−4i000000000000000000000000000000000000000
χ604-4-444-44-4-4-4-4444-44-4000040000000000000000000000000000000000000000000
χ614-4-4-4-4444400-400-4400000000000000000000000022−22−2222000000000000000000000
χ624-4-4-4-4444400-400-44000000000000000000000000−222222−22000000000000000000000
χ634-4-4-4-4444-4004004-404-4-4400000000000000000000000000000000000000000000
χ644-4-4-4-4444-4004004-40-444-400000000000000000000000000000000000000000000
χ6588-88-88-8-8000000000000000000000000000000000000000000000000000000000

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