Finite Group Databasebeta

← Group #347966

Character table — Group #347966

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222222244444444488888888888888888888888816161616323232323232
order12222244444488884448888882222444444448888888888884444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-11-11-1-1-11-11-111-1-1-1-1-1-111-1-11111-1-111-1-1
χ61111111111111111111111111-1-11-11-1-1-11-11-111-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ71111111111111111111111111-1-1-11-11-1-1-11-11-1-111-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111111111111-1-1-11-11-1-1-11-11-1-111-1-1-1-1-1-111-1-1-1-11111-1-1
χ9111111111111-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ10111111111111-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ11111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11-1-11-11
χ12111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-111-11-1
χ13111111111111-1-1-1-1111-1-1-1-1-1-1-1-11-11-1-1-11-11-1-1-1111111-1-11111-1-1-111-1-11
χ14111111111111-1-1-1-1111-1-1-1-1-1-1-1-11-11-1-1-11-11-1-1-1111111-1-111-1-1111-1-111-1
χ15111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-11-11-1-1-11-1111-1-1111111-1-111-1-1-11-111-1
χ16111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-11-11-1-1-11-1111-1-1111111-1-1-1-1111-11-1-11
χ1722222222-222-20000-2-2-2000000222-2-22-2-2-222-20000000000000000000000
χ1822222222-222-20000-2-2-200000022-222-2-2-22-2-220000000000000000000000
χ1922222222-222-20000-2-2-2000000-2-222-2-222-2-2220000000000000000000000
χ2022222222-222-20000-2-2-2000000-2-2-2-2222222-2-20000000000000000000000
χ21222222-2-22-2-222222-2-22-2-2-2-2222-200002-20000000022-2-200000000000000
χ22222222-2-22-2-222222-2-22-2-2-2-222-220000-2200000000-2-22200000000000000
χ23222222-2-22-2-22-2-2-2-2-2-222222-2-22-200002-200000000-2-22200000000000000
χ24222222-2-22-2-22-2-2-2-2-2-222222-2-2-220000-220000000022-2-200000000000000
χ25222222-2-2-2-2-2-2000022-20000002-20000-2200002i−2i2i−2i00002i−2i2i−2i0000000000
χ26222222-2-2-2-2-2-2000022-20000002-20000-220000−2i2i−2i2i0000−2i2i−2i2i0000000000
χ27222222-2-2-2-2-2-2000022-2000000-2200002-200002i−2i−2i2i00002i−2i−2i2i0000000000
χ28222222-2-2-2-2-2-2000022-2000000-2200002-20000−2i2i2i−2i0000−2i2i2i−2i0000000000
χ292222-2-22-222-2222222-2-222-2-2-2-200020-200020-200-2-2000000220000000000
χ302222-2-22-222-2222222-2-222-2-2-2-2000-202000-2020022000000-2-20000000000
χ312222-2-22-222-22-2-2-2-22-2-2-2-2222200020-200020-20022000000-2-20000000000
χ322222-2-22-222-22-2-2-2-22-2-2-2-22222000-202000-20200-2-2000000220000000000
χ332222-2-22-2-22-2-20000-222000000000202000-20-22i−2i002i−2i2i−2i−2i2i000000000000
χ342222-2-22-2-22-2-20000-222000000000202000-20-2−2i2i00−2i2i−2i2i2i−2i000000000000
χ352222-2-22-2-22-2-20000-222000000000-20-20002022i−2i00−2i2i−2i2i−2i2i000000000000
χ362222-2-22-2-22-2-20000-222000000000-20-2000202−2i2i002i−2i2i−2i2i−2i000000000000
χ372222-2-2-222-2222222-22-2-2-222-2-20020-200020-20-2-200000022000000000000
χ382222-2-2-222-2222222-22-2-2-222-2-200-202000-202022000000-2-2000000000000
χ392222-2-2-222-222-2-2-2-2-22-222-2-2220020-200020-2022000000-2-2000000000000
χ402222-2-2-222-222-2-2-2-2-22-222-2-22200-202000-2020-2-200000022000000000000
χ412222-2-2-22-2-22-200002-2200000000202000-20-20002i−2i−2i2i2i−2i00−2i2i0000000000
χ422222-2-2-22-2-22-200002-2200000000202000-20-2000−2i2i2i−2i−2i2i002i−2i0000000000
χ432222-2-2-22-2-22-200002-2200000000-20-20002020002i−2i2i−2i−2i2i00−2i2i0000000000
χ442222-2-2-22-2-22-200002-2200000000-20-2000202000−2i2i−2i2i2i−2i002i−2i0000000000
χ454-44-40000-400444-4-40000000000000000000000000000000002i−2i2i−2i000000
χ464-44-40000-400444-4-4000000000000000000000000000000000−2i2i−2i2i000000
χ474-44-40000-4004-4-4440000000000000000000000000000000002i−2i−2i2i000000
χ484-44-40000-4004-4-444000000000000000000000000000000000−2i2i2i−2i000000
χ494-4-444-4440-4-4022−2222−2200022−2222−2222−220000000000000000000000000000000000
χ504-4-444-4440-4-40−2222−2222000−2222−2222−22220000000000000000000000000000000000
χ514-4-444-4-4-4044022−2222−22000−2222−222222−220000000000000000000000000000000000
χ524-4-444-4-4-40440−2222−222200022−2222−22−22220000000000000000000000000000000000
χ534-4-44-444-40-44022−2222−2200022−22−2222−22220000000000000000000000000000000000
χ544-4-44-444-40-440−2222−2222000−222222−2222−220000000000000000000000000000000000
χ554-4-44-44-4404-4022−2222−22000−222222−22−22220000000000000000000000000000000000
χ564-4-44-44-4404-40−2222−222200022−22−222222−220000000000000000000000000000000000
χ5788-8-80000000042−42−42420000000000000000000000000000000000000000000
χ5888-8-800000000−424242−420000000000000000000000000000000000000000000
χ598-88-80000800-800000000000000000000000000000000000000000000000

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