Finite Group Databasebeta

← Group #348637

Character table — Group #348637

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442444444488888888882244444444888888888888888248888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-111-1-1
χ411111111111111111111111111111-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1-111111111-1-1-111-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1-1111111-1-1111-1-111-1
χ9111111111111-1-11-1-111111-1-1-1-111-11-111-1-11-1-1111-1-111-1-1-1-11111-1-1-1-111
χ10111111111111-1-11-1-111111-1-1-1-111-11-111-1-11-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1
χ11111111111111-1-11-1-111111-1-1-1-111-1-1-1-1-111-111-1-11-1-1-1-11111111111-1-1-1-1
χ12111111111111-1-11-1-111111-1-1-1-111-1-1-1-1-111-111-1-11-1-1-1-11111-1-1-1-1-1-11111
χ13111111111111-1-11-1-11-1-1-1-11111-1-1-11-111-1-11-1-1-1-1-111-1-1111111-1-1-11-111-1
χ14111111111111-1-11-1-11-1-1-1-11111-1-1-11-111-1-11-1-1-1-1-111-1-11111-1-1111-11-1-11
χ15111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-111-11111-11111-1-1-1-111-1-11-1-11-11
χ16111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-111-11111-11111-1-1-1-1-1-111-111-11-1
χ17222222-222-2-2-222-2-2-22000000000022-2-2-2222-2-2000000000000000000000
χ18222222-222-2-2-222-2-2-2200000000002-2-222-2-2-222000000000000000000000
χ19222222-222-2-2-2-2-2-22220000000000-222-2-2-2-2222000000000000000000000
χ20222222-222-2-2-2-2-2-22220000000000-2-222222-2-2-2000000000000000000000
χ2122222-222-22-2-200200-222-2-20000220202-200-20022-200-2-200000000000000
χ2222222-222-22-2-200200-222-2-20000220-20-2200200-2-2-2002200000000000000
χ2322222-222-22-2-200200-2-2-2220000-2-20202-200-200-2-22002200000000000000
χ2422222-222-22-2-200200-2-2-2220000-2-20-20-220020022200-2-200000000000000
χ2522222-2-22-2-22200-200-200002i2i−2i−2i00020-2200-2000002i−2i002i2i−2i−2i0000000000
χ2622222-2-22-2-22200-200-200002i2i−2i−2i000-202-2002000002i−2i00−2i−2i2i2i0000000000
χ2722222-2-22-2-22200-200-20000−2i−2i2i2i00020-2200-200000−2i2i00−2i−2i2i2i0000000000
χ2822222-2-22-2-22200-200-20000−2i−2i2i2i000-202-200200000−2i2i002i2i−2i−2i0000000000
χ292222-222-222-2222-222-222-2-2-2-2-2-2-2-2-20-20000000002220000000000000000
χ302222-222-222-2222-222-2-2-222222222-20-2000000000-2-2-20000000000000000
χ312222-222-222-22-2-2-2-2-2-222-2-22222-2-22020000000002-2-20000000000000000
χ322222-222-222-22-2-2-2-2-2-2-2-222-2-2-2-222202000000000-2220000000000000000
χ332222-22-2-22-22-2222-2-2-20000000000-20200000002i−2i0002i−2i2i−2i2i−2i0000000000
χ342222-22-2-22-22-2222-2-2-20000000000-2020000000−2i2i000−2i2i−2i2i−2i2i0000000000
χ352222-22-2-22-22-2-2-2222-2000000000020-200000002i−2i0002i−2i−2i2i−2i2i0000000000
χ362222-22-2-22-22-2-2-2222-2000000000020-20000000−2i2i000−2i2i2i−2i2i−2i0000000000
χ372222-2-22-2-222-200-200222220000-2-2000002-202-200-200002-2-220000000000
χ382222-2-22-2-222-200-200222220000-2-200000-220-2200-20000-222-20000000000
χ392222-2-22-2-222-200-2002-2-2-2-2000022000002-202-20020000-222-20000000000
χ402222-2-22-2-222-200-2002-2-2-2-200002200000-220-2200200002-2-220000000000
χ412222-2-2-2-2-2-2-2200200200002i2i−2i−2i00000002-20-22−2i2i0−2i2i2i−2i00000000000000
χ422222-2-2-2-2-2-2-2200200200002i2i−2i−2i0000000-2202-22i−2i0−2i2i−2i2i00000000000000
χ432222-2-2-2-2-2-2-220020020000−2i−2i2i2i00000002-20-222i−2i02i−2i−2i2i00000000000000
χ442222-2-2-2-2-2-2-220020020000−2i−2i2i2i0000000-2202-2−2i2i02i−2i2i−2i00000000000000
χ4544-4-400-4004000000004i−4i000000000000000000000000000002i−2i2-2000000
χ4644-4-400-4004000000004i−4i00000000000000000000000000000−2i2i-22000000
χ4744-4-400-400400000000−4i4i000000000000000000000000000002i−2i-22000000
χ4844-4-400-400400000000−4i4i00000000000000000000000000000−2i2i2-2000000
χ494-4-440400-40004i−4i00000022−222i2−2i22i2−2i222−220000000000000000000000000000000
χ504-4-440400-40004i−4i000000−2222−2i22i2−2i22i2−22220000000000000000000000000000000
χ514-4-440400-4000−4i4i00000022−22−2i22i2−2i22i222−220000000000000000000000000000000
χ524-4-440400-4000−4i4i000000−22222i2−2i22i2−2i2−22220000000000000000000000000000000
χ534-4-440-40040000004-400022−2222−22−2222−22220000000000000000000000000000000
χ544-4-440-40040000004-4000−2222−222222−2222−220000000000000000000000000000000
χ554-4-440-4004000000-4400022−22−222222−22−22220000000000000000000000000000000
χ564-4-440-4004000000-44000−222222−22−222222−220000000000000000000000000000000
χ5788-8-800800-80000000000000000000000000000000000000000000000000
χ588-88-8800-8000000000000000000000000000000000000000000000000000
χ598-88-8-8008000000000000000000000000000000000000000000000000000

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