Finite Group Databasebeta

← Group #296439

Character table — Group #296439

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444444444888888882224444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-111-1111111-1-1-1-1
χ5111111111111111111111-1-11-1-111111111-111-111-1-1-111-111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-11-1-111111111-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1
χ7111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111111111
χ8111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ9111111111111-1-1-1-11111-111-1111111-1-1-1-1-11-1-11-111-111-1-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-111-1111111-1-1-1-1-1-11-1-11-1-11-1-1111-1-11111-1-1
χ11111111111111-1-1-1-11111-111-111-1-1-1-11111-11-1-11-111-1-1-1-111-1-111-1-111
χ12111111111111-1-1-1-11111-111-111-1-1-1-11111-1-11-1-11-1-11111-1-111-1-1-1-111
χ13111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-111-1-1-11111-1-1-1-111-1-111
χ14111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-111-1111-1-1-1-11111-1-1-1-111
χ15111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-11-1-111111-1-111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111-1111-111-1-1-1-1-11111-1-1
χ1722222222222222-2-2-2-2-2-2222-2-2-200000000-2002000000000000000000
χ1822222222222222-2-2-2-2-2-22-2-2-22200000000200-2000000000000000000
χ19222222222222-2-222-2-2-2-2-2222-2-200000000200-2000000000000000000
χ20222222222222-2-222-2-2-2-2-2-2-222200000000-2002000000000000000000
χ2122222222-2-2-2-2222222-2-2-200-2000000000002-20-220000000000000000
χ2222222222-2-2-2-2222222-2-2-200-200000000000-2202-20000000000000000
χ2322222222-2-2-2-222-2-2-2-222-200200000000000000002-2200-20000000000
χ2422222222-2-2-2-222-2-2-2-222-20020000000000000000-22-20020000000000
χ2522222222-2-2-2-2-2-222-2-222200-200000000000000002-2-20020000000000
χ2622222222-2-2-2-2-2-222-2-222200-20000000000000000-22200-20000000000
χ2722222222-2-2-2-2-2-2-2-222-2-2200200000000000220-2-20000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-2200200000000000-2-20220000000000000000
χ292222-2-2-2-2-2-22200002-22-202i−2i02i−2i00002i2i−2i−2i000000000000000000002-2
χ302222-2-2-2-2-2-22200002-22-202i−2i02i−2i0000−2i−2i2i2i00000000000000000000-22
χ312222-2-2-2-2-2-22200002-22-20−2i2i0−2i2i00002i2i−2i−2i00000000000000000000-22
χ322222-2-2-2-2-2-22200002-22-20−2i2i0−2i2i0000−2i−2i2i2i000000000000000000002-2
χ332222-2-2-2-2-2-2220000-22-2202i−2i0−2i2i2i2i−2i−2i00000000000000000000002-200
χ342222-2-2-2-2-2-2220000-22-2202i−2i0−2i2i−2i−2i2i2i0000000000000000000000-2200
χ352222-2-2-2-2-2-2220000-22-220−2i2i02i−2i2i2i−2i−2i0000000000000000000000-2200
χ362222-2-2-2-2-2-2220000-22-220−2i2i02i−2i−2i−2i2i2i00000000000000000000002-200
χ374444-4-4-4-444-4-400004-4-44000000000000000000000000000000000000
χ384444-4-4-4-444-4-40000-444-4000000000000000000000000000000000000
χ3944-4-44-44-40000004i−4i000000000000000000000000000000002i−2i2-20000
χ4044-4-44-44-40000004i−4i00000000000000000000000000000000−2i2i-220000
χ4144-4-44-44-4000000−4i4i000000000000000000000000000000002i−2i-220000
χ4244-4-44-44-4000000−4i4i00000000000000000000000000000000−2i2i2-20000
χ434-44-4-444-400004i−4i000000000000000000000000000002-202i−2i00000000
χ444-44-4-444-400004i−4i00000000000000000000000000000-220−2i2i00000000
χ454-44-4-444-40000−4i4i000000000000000000000000000002-20−2i2i00000000
χ464-44-4-444-40000−4i4i00000000000000000000000000000-2202i−2i00000000
χ474-4-4444-4-44-44-40000000000000000002i2−2i22i2−2i20000000000000000000000
χ484-4-4444-4-44-44-4000000000000000000−2i22i2−2i22i20000000000000000000000
χ494-4-4444-4-4-44-44000000000000002i2−2i22i2−2i200000000000000000000000000
χ504-4-4444-4-4-44-4400000000000000−2i22i2−2i22i200000000000000000000000000
χ514-4-44-4-4444-4-440000000000000022−22−222200000000000000000000000000
χ524-4-44-4-4444-4-4400000000000000−222222−2200000000000000000000000000
χ534-4-44-4-444-444-400000000000000000022−22−22220000000000000000000000
χ544-4-44-4-444-444-4000000000000000000−222222−220000000000000000000000
χ5588-8-8-88-88000000000000000000000000000000000000000000000000
χ568-88-88-8-88000000000000000000000000000000000000000000000000

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