Finite Group Databasebeta

← Group #308448

Character table — Group #308448

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-111111111111111-1-1-1-1-11-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111
χ71111111111111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111-11111-1-111-1
χ911111111111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111
χ1011111111111111111-1-1-1-11111111-1-1-1-11111111111-1-1-1-11111-1-11-1-1-1-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-111111-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-111-1-1-111-1-1111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111111-1-11-1-111-1-1-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-111-1-11111-1
χ172222222222-22-2-2-22-20000-22222220000-2-2220000-2-20000000000-2000000000000
χ182222222222-22-2-2-22-20000-22222-2-2000022-2-20000-2-200000000002000000000000
χ192222222222-22-2-2-22-20000-2-2-2-2-2220000-2-2-2-200002200000000002000000000000
χ202222222222-22-2-2-22-20000-2-2-2-2-2-2-2000022220000220000000000-2000000000000
χ2122222222-2-22-2222-2-22222-200000022-2-20000-2-222000000000000000-2000000000
χ2222222222-2-22-2222-2-22222-2000000-2-2-2-2000022-2-20000000000000002000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-20000002222000022-2-2000000000000000-2000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-2000000-2-2220000-2-2220000000000000002000000000
χ25222-2-2-22-2222-2-22-2-2222-2-2-2000000002-20000000000000000000000002-22-200000
χ26222-2-2-22-2222-2-22-2-2222-2-2-2000000002-2000000000000000000000000-22-2200000
χ27222-2-2-22-2222-2-22-2-22-2-222-200000000-220000000000000000000000002-2-2200000
χ28222-2-2-22-2222-2-22-2-22-2-222-200000000-22000000000000000000000000-222-200000
χ29222-2-2-22-2-2-222-22-22-222-2-2200002i−2i00-222i−2i00000000000000002i−2i0000000000000
χ30222-2-2-22-2-2-222-22-22-222-2-220000−2i2i00-22−2i2i0000000000000000−2i2i0000000000000
χ31222-2-2-22-2-2-222-22-22-2-2-222200002i−2i002-22i−2i0000000000000000−2i2i0000000000000
χ32222-2-2-22-2-2-222-22-22-2-2-22220000−2i2i002-2−2i2i00000000000000002i−2i0000000000000
χ33222-2-2-22-2-2-2-222-22220000-200002i−2i0000−2i2i0000000022-2-200000002i−2i0000000000
χ34222-2-2-22-2-2-2-222-22220000-200002i−2i0000−2i2i00000000-2-2220000000−2i2i0000000000
χ35222-2-2-22-2-2-2-222-22220000-20000−2i2i00002i−2i0000000022-2-20000000−2i2i0000000000
χ36222-2-2-22-2-2-2-222-22220000-20000−2i2i00002i−2i00000000-2-22200000002i−2i0000000000
χ372-2-2-22-22200202-2-2002i−2i2i−2i022−2−2002-2000000002i−2i2−2i2−i2i2−i2i2i2−i2−i20000000000002−20
χ382-2-2-22-22200202-2-2002i−2i2i−2i022−2−200-2200000000−2i2i2−2i2−i2i2−i2−i2−i2i2i2000000000000−220
χ392-2-2-22-22200202-2-2002i−2i2i−2i0−2−222002-2000000002i−2i−22−i2i2−i2i2−i2−i2i2i2000000000000−220
χ402-2-2-22-22200202-2-2002i−2i2i−2i0−2−22200-2200000000−2i2i−22−i2i2−i2i2i2i2−i2−i20000000000002−20
χ412-2-2-22-22200202-2-200−2i2i−2i2i022−2−2002-200000000−2i2i2−2−i2i2−i2i2−i2−i2i2i20000000000002−20
χ422-2-2-22-22200202-2-200−2i2i−2i2i022−2−200-22000000002i−2i2−2−i2i2−i2i2i2i2−i2−i2000000000000−220
χ432-2-2-22-22200202-2-200−2i2i−2i2i0−2−222002-200000000−2i2i−22i2−i2i2−i2i2i2−i2−i2000000000000−220
χ442-2-2-22-22200202-2-200−2i2i−2i2i0−2−22200-22000000002i−2i−22i2−i2i2−i2−i2−i2i2i20000000000002−20
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-444-4-44-44-4-4000040000000000000000000000000000000000000000000
χ4744-44-4-4-444-404000-400000000000000000000000000000022−2222−22000000000000000
χ4844-44-4-4-444-404000-4000000000000000000000000000000−2222−2222000000000000000
χ4944-44-4-4-44-440-400040000004i−4i4i−4i000000000000000000000000000000000000000
χ5044-44-4-4-44-440-40004000000−4i4i−4i4i000000000000000000000000000000000000000
χ5144-4-444-4-44-40-400040000000000000000004i−4i00000000000000000000000000000
χ5244-4-444-4-44-40-40004000000000000000000−4i4i00000000000000000000000000000
χ5344-4-444-4-4-4404000-40000000000000000000000000000000000000000000022−22000
χ5444-4-444-4-4-4404000-400000000000000000000000000000000000000000000−2222000
χ554-44-4-44-44000000000000002i2−2i2−2i22i2000000000022−22000000002i−2i−2i2i000000000000000
χ564-44-4-44-44000000000000002i2−2i2−2i22i20000000000−222200000000−2i2i2i−2i000000000000000
χ574-44-4-44-4400000000000000−2i22i22i2−2i2000000000022−2200000000−2i2i2i−2i000000000000000
χ584-44-4-44-4400000000000000−2i22i22i2−2i20000000000−2222000000002i−2i−2i2i000000000000000
χ594-4-44-444-40040-4-44004i−4i−4i4i00000000000000000000000000000000000000000000
χ604-4-44-444-40040-4-4400−4i4i4i−4i00000000000000000000000000000000000000000000
χ614-4-44-444-400-4044-40000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ624-4-44-444-400-4044-4000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ634-4-4-44-44400-40-44400000002222−22−2200000000000000−222200000000000000000000000
χ644-4-4-44-44400-40-4440000000−22−2222220000000000000022−2200000000000000000000000
χ658-8888-8-8-8000000000000000000000000000000000000000000000000000000000

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