Finite Group Databasebeta

← Group #139421

Character table — Group #139421

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order122222448888444444444888888448888161616161616161616161616161616164444228888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ6111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ8111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ911111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-11-1i−ii−i
χ1011111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-111-11−ii−ii
χ1111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−ii−ii
χ1211111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-111-11i−ii−i
χ1311111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-11i−i−ii
χ1411111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1111-1−iii−i
χ1511111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11−iii−i
χ1611111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1i−i−ii
χ172222222222222-2-22222-2-2222222-2-2-2-2-2-200000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-222-2-2-2-222-2-22200000000000000000000000000
χ1922222222-2-2-2-2222222222-2-2-2-2-2-222-2-2-2-200000000000000000000000000
χ2022222222-2-2-2-2222-2-2-2-222-2-22222-2-2-2-22200000000000000000000000000
χ21222222-2-20000-22222-2-2-2-20000002-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000
χ22222222-2-20000-22222-2-2-2-20000002-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000
χ23222222-2-20000-222-2-222-2-2000000-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000
χ24222222-2-20000-222-2-222-2-2000000-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000
χ25222222-2-20000-2-2-222-2-222000000-22000022−2−2−2−22222−2−2−2−2220000000000
χ26222222-2-20000-2-2-222-2-222000000-220000−2−22222−2−2−2−22222−2−20000000000
χ27222222-2-20000-2-2-2-2-222220000002-2000022−2−2−2−222−2−22222−2−20000000000
χ28222222-2-20000-2-2-2-2-222220000002-20000−2−22222−2−222−2−2−2−2220000000000
χ292222-2-2222222-22-200002-2-2-20000002-200000000002-22-22-22-20000000000
χ302222-2-2222222-22-200002-2-2-20000002-20000000000-22-22-22-220000000000
χ312222-2-2222222-2-220000-22-2-2000000-22002-22-22-22-2000000000000000000
χ322222-2-2222222-2-220000-22-2-2000000-2200-22-22-22-22000000000000000000
χ332222-2-222-2-2-2-2-22-200002-222000000-22002i−2i2i−2i−2i2i−2i2i000000000000000000
χ342222-2-222-2-2-2-2-22-200002-222000000-2200−2i2i−2i2i2i−2i2i−2i000000000000000000
χ352222-2-222-2-2-2-2-2-220000-22220000002-200000000002i−2i2i−2i−2i2i−2i2i0000000000
χ362222-2-222-2-2-2-2-2-220000-22220000002-20000000000−2i2i−2i2i2i−2i2i−2i0000000000
χ372222-2-2-2-2000022-20000-22002i2i−2i−2i00002i−2i2−2−22−222−2i2−i2−i2i2i2−i2−i2i20000000000
χ382222-2-2-2-2000022-20000-22002i2i−2i−2i00002i−2i−222−22−2−22−i2i2i2−i2−i2i2i2−i20000000000
χ392222-2-2-2-2000022-20000-2200−2i−2i2i2i0000−2i2i2−2−22−222−2−i2i2i2−i2−i2i2i2−i20000000000
χ402222-2-2-2-2000022-20000-2200−2i−2i2i2i0000−2i2i−222−22−2−22i2−i2−i2i2i2−i2−i2i20000000000
χ412222-2-2-2-200002-2200002-2002i2i−2i−2i0000−2i2ii2−i2−i2i2i2−i2−i2i22−2−22−222−20000000000
χ422222-2-2-2-200002-2200002-2002i2i−2i−2i0000−2i2i−i2i2i2−i2−i2i2i2−i2−222−22−2−220000000000
χ432222-2-2-2-200002-2200002-200−2i−2i2i2i00002i−2ii2−i2−i2i2i2−i2−i2i2−222−22−2−220000000000
χ442222-2-2-2-200002-2200002-200−2i−2i2i2i00002i−2i−i2i2i2−i2−i2i2i2−i22−2−22−222−20000000000
χ4544-4-4004-444-4-400000000000000000000000000000000000002i−2i2i−2i000000
χ4644-4-4004-444-4-40000000000000000000000000000000000000−2i2i−2i2i000000
χ4744-4-4004-4-4-44400000000000000000000000000000000000002i−2i−2i2i000000
χ4844-4-4004-4-4-4440000000000000000000000000000000000000−2i2i2i−2i000000
χ494-44-44-40022−2222−22000004i−4i0022−222i2−2i22i2−2i200000000000000000000000000000000
χ504-44-44-40022−2222−2200000−4i4i0022−22−2i22i2−2i22i200000000000000000000000000000000
χ514-44-44-400−2222−2222000004i−4i00−2222−2i22i2−2i22i200000000000000000000000000000000
χ524-44-44-400−2222−222200000−4i4i00−22222i2−2i22i2−2i200000000000000000000000000000000
χ534-44-4-440022−2222−220004-40000−222222−22−222200000000000000000000000000000000
χ544-44-4-440022−2222−22000-440000−2222−222222−2200000000000000000000000000000000
χ554-44-4-4400−2222−22220004-4000022−22−222222−2200000000000000000000000000000000
χ564-44-4-4400−2222−2222000-44000022−2222−22−222200000000000000000000000000000000
χ5788-8-800-88000000000000000000000000000000000000000000000000000
χ588-8-88000042−42−424200000000000000000000000000000000000000000000000
χ598-8-880000−424242−4200000000000000000000000000000000000000000000000

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