Finite Group Databasebeta

← Group #303201

Character table — Group #303201

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444444444888888882224444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1111111-1-1-1-1
χ5111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1
χ6111111111111111111111-1-11-1-111111111-1-111-1111-1-1-1111-1-1-1-1-1-1-1-1
χ7111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-111-111-111-1-1-1-11111
χ8111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-11-1-111111111
χ9111111111111-1-1-1-11111-111-1111111-1-1-1-11-11-1-1-111-11-11-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-111-1111111-1-1-1-1-11-11-11-1-1-1-11-111-1-11111-1-1
χ11111111111111-1-1-1-11111-111-111-1-1-1-111111-11-1-1-1-1-1-11-1111-1-111-1-111
χ12111111111111-1-1-1-11111-111-111-1-1-1-11111-11-11-1111-1-11-1-1-111-1-1-1-111
χ13111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-11111-1-1-1-111
χ14111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-111-11-1111-111-1-1-1-111-1-111
χ15111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-11111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111-11-1-1-11-1111111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2222-2-2-20000000000002000-20000000000000
χ1822222222222222-2-2-2-2-2-22-2-2-222000000000000-200020000000000000
χ19222222222222-2-222-2-2-2-2-2222-2-2000000000000-200020000000000000
χ20222222222222-2-222-2-2-2-2-2-2-22220000000000002000-20000000000000
χ2122222222-2-2-2-2222222-2-2-200-2000000000000220-200000-20000000000
χ2222222222-2-2-2-2222222-2-2-200-2000000000000-2-2020000020000000000
χ2322222222-2-2-2-222-2-2-2-222-20020000000000220000000-2-200000000000
χ2422222222-2-2-2-222-2-2-2-222-20020000000000-2-200000002200000000000
χ2522222222-2-2-2-2-2-222-2-222200-200000000002-20000000-2200000000000
χ2622222222-2-2-2-2-2-222-2-222200-20000000000-2200000002-200000000000
χ2722222222-2-2-2-2-2-2-2-222-2-220020000000000002-20200000-20000000000
χ2822222222-2-2-2-2-2-2-2-222-2-22002000000000000-220-20000020000000000
χ292-22-22-22-222-2-200002-22-202-202-200002i2i−2i−2i000000000000000000002i−2i
χ302-22-22-22-222-2-200002-22-202-202-20000−2i−2i2i2i00000000000000000000−2i2i
χ312-22-22-22-222-2-200002-22-20-220-2200002i2i−2i−2i00000000000000000000−2i2i
χ322-22-22-22-222-2-200002-22-20-220-220000−2i−2i2i2i000000000000000000002i−2i
χ332-22-22-22-222-2-20000-22-2202-20-222i2i−2i−2i00000000000000000000002i−2i00
χ342-22-22-22-222-2-20000-22-2202-20-22−2i−2i2i2i0000000000000000000000−2i2i00
χ352-22-22-22-222-2-20000-22-220-2202-22i2i−2i−2i0000000000000000000000−2i2i00
χ362-22-22-22-222-2-20000-22-220-2202-2−2i−2i2i2i00000000000000000000002i−2i00
χ374444-4-4-4-400004-400000000000000000000000000000000002-22-20000
χ384444-4-4-4-400004-40000000000000000000000000000000000-22-220000
χ394444-4-4-4-40000-4400000000000000000000000000000000002-2-220000
χ404444-4-4-4-40000-440000000000000000000000000000000000-222-20000
χ4144-4-444-4-40000004i−4i0000000000000000000000002-200002i−2i00000000
χ4244-4-444-4-40000004i−4i000000000000000000000000-220000−2i2i00000000
χ4344-4-444-4-4000000−4i4i0000000000000000000000002-20000−2i2i00000000
χ4444-4-444-4-4000000−4i4i000000000000000000000000-2200002i−2i00000000
χ4544-4-4-4-4444-44-4000000000000002i2−2i22i2−2i200000000000000000000000000
χ4644-4-4-4-4444-44-400000000000000−2i22i2−2i22i200000000000000000000000000
χ4744-4-4-4-444-44-4400000000000000000022−2222−220000000000000000000000
χ4844-4-4-4-444-44-44000000000000000000−2222−22220000000000000000000000
χ494-44-44-44-4-4-44400004-4-44000000000000000000000000000000000000
χ504-44-44-44-4-4-4440000-444-4000000000000000000000000000000000000
χ514-4-44-444-44-4-440000000000000022−22−222200000000000000000000000000
χ524-4-44-444-44-4-4400000000000000−222222−2200000000000000000000000000
χ534-4-44-444-4-444-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ544-4-44-444-4-444-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ558-88-8-88-88000000000000000000000000000000000000000000000000
χ568-8-888-8-88000000000000000000000000000000000000000000000000

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