Finite Group Databasebeta

← Group #308632

Character table — Group #308632

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111
χ51111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-1111-111-1-111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-111111
χ71111111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-11-1-11-1-111-1-1-1-1111
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111111-1-1-1
χ911111111111111111-1-1-1-111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-11
χ1011111111111111111-1-1-1-111111-1-11111-1-1111111-1-1-1-1111111-1-1-11-1-1-1-111-1-111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111111-1-1-11111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-111111-1-1-1-11111-1
χ172222222222-2-2-222-2-20000-2222200222200-2-200-2-20000000000000-200000000000
χ182222222222-2-2-222-2-20000-2222200-2-2-2-2002200-2-20000000000000200000000000
χ192222222222-2-2-222-2-20000-2-2-2-2-20022-2-200-2-200220000000000000200000000000
χ202222222222-2-2-222-2-20000-2-2-2-2-200-2-222002200220000000000000-200000000000
χ2122222222-2-2222-2-22-22222-20000-2-20000220022000000-2-20000-200000000000000
χ2222222222-2-2222-2-22-22222-20000-2-20000-2-200-2-2000000220000200000000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-200002200002200-2-2000000220000-200000000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-20000220000-2-20022000000-2-20000200000000000000
χ25222-2-2-22-2222-22-2-2-2222-2-2-200002-2000000000000000000000000002-2002-200000
χ26222-2-2-22-2222-22-2-2-2222-2-2-200002-200000000000000000000000000-2200-2200000
χ27222-2-2-22-2222-22-2-2-22-2-222-20000-22000000000000000000000000002-200-2200000
χ28222-2-2-22-2222-22-2-2-22-2-222-20000-2200000000000000000000000000-22002-200000
χ29222-2-2-22-2-2-22-2222-2-222-2-220000-222i−2i00002i−2i0000000000000002i−2i000000000000
χ30222-2-2-22-2-2-22-2222-2-222-2-220000-22−2i2i0000−2i2i000000000000000−2i2i000000000000
χ31222-2-2-22-2-2-22-2222-2-2-2-222200002-22i−2i00002i−2i000000000000000−2i2i000000000000
χ32222-2-2-22-2-2-22-2222-2-2-2-222200002-2−2i2i0000−2i2i0000000000000002i−2i000000000000
χ33222-2-2-22-2-2-2-22-222220000-20000002i−2i0000−2i2i000022-2-20000000000002i−2i0000000
χ34222-2-2-22-2-2-2-22-222220000-20000002i−2i0000−2i2i0000-2-222000000000000−2i2i0000000
χ35222-2-2-22-2-2-2-22-222220000-2000000−2i2i00002i−2i000022-2-2000000000000−2i2i0000000
χ36222-2-2-22-2-2-2-22-222220000-2000000−2i2i00002i−2i0000-2-2220000000000002i−2i0000000
χ372-222-2-2-2200-22200-202i−2i2i−2i0i2i2−i2−i20000002i−2i002-2i2−i22−22−200i2i2−i2−i200000000002−2000
χ382-222-2-2-2200-22200-202i−2i2i−2i0i2i2−i2−i2000000−2i2i00-22i2−i22−22−200−i2−i2i2i20000000000−22000
χ392-222-2-2-2200-22200-202i−2i2i−2i0−i2−i2i2i20000002i−2i002-2−i2i2−22−2200−i2−i2i2i20000000000−22000
χ402-222-2-2-2200-22200-202i−2i2i−2i0−i2−i2i2i2000000−2i2i00-22−i2i2−22−2200i2i2−i2−i200000000002−2000
χ412-222-2-2-2200-22200-20−2i2i−2i2i0i2i2−i2−i20000002i−2i00-22i2−i2−22−2200−i2−i2i2i200000000002−2000
χ422-222-2-2-2200-22200-20−2i2i−2i2i0i2i2−i2−i2000000−2i2i002-2i2−i2−22−2200i2i2−i2−i20000000000−22000
χ432-222-2-2-2200-22200-20−2i2i−2i2i0−i2−i2i2i20000002i−2i00-22−i2i22−22−200i2i2−i2−i20000000000−22000
χ442-222-2-2-2200-22200-20−2i2i−2i2i0−i2−i2i2i2000000−2i2i002-2−i2i22−22−200−i2−i2i2i200000000002−2000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-444-44-4-4-44-4000040000000000000000000000000000000000000000000
χ4744-444-4-4-44-40004-4000000000000000000000000000000022−2222−22000000000000000
χ4844-444-4-4-44-40004-40000000000000000000000000000000−2222−2222000000000000000
χ4944-444-4-4-4-44000-4400000004-44-4000000000000000000000000000000000000000
χ5044-444-4-4-4-44000-440000000-44-44000000000000000000000000000000000000000
χ5144-4-4-44-444-4000-440000000000000004i−4i000000000000000000000000000000000
χ5244-4-4-44-444-4000-44000000000000000−4i4i000000000000000000000000000000000
χ5344-4-4-44-44-440004-4000000000000000000000000000000000000000000000002i2−2i20
χ5444-4-4-44-44-440004-400000000000000000000000000000000000000000000000−2i22i20
χ554-444-4-4-44004-4-40040000002i22i2−2i2−2i2000000000000−2i22i20000000000000000000000000
χ564-444-4-4-44004-4-4004000000−2i2−2i22i22i20000000000002i2−2i20000000000000000000000000
χ574-44-444-4-40044-400-400000000000000000000000022−22−2222000000000000000000000
χ584-44-444-4-40044-400-4000000000000000000000000−222222−22000000000000000000000
χ594-44-444-4-400-4-4400404i−4i−4i4i00000000000000000000000000000000000000000000
χ604-44-444-4-400-4-440040−4i4i4i−4i00000000000000000000000000000000000000000000
χ614-4-44-444-4000000000000002i2−2i2−2i22i200000000000000000022−222i−2i−2i2i000000000000000
χ624-4-44-444-4000000000000002i2−2i2−2i22i2000000000000000000−2222−2i2i2i−2i000000000000000
χ634-4-44-444-400000000000000−2i22i22i2−2i200000000000000000022−22−2i2i2i−2i000000000000000
χ644-4-44-444-400000000000000−2i22i22i2−2i2000000000000000000−22222i−2i−2i2i000000000000000
χ658-8-8-88-888000000000000000000000000000000000000000000000000000000000

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