Finite Group Databasebeta

← Group #469367

Character table — Group #469367

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222222244448888888888161616161616161616161616161616161616161616161616
order12222222224444444444444444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ51111111111111111111111-1-1-1-111-1-1-1-11-1111-11111-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-11-1-1-11-1-1-1-1-1111111-1-11111-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-1-1111-1111-1-111-1-1-1-1-1-111-1-111
χ81111111111111111111111-1-1-1-111-1-1-1-1-11-1-1-11-1-111-1-1111111-1-1-1-111
χ9111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111
χ13111111111111111111-1-1-1-1-1-1-1-1-1-111111-1111-1-1-1-1-111-1-11111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-11-11111-1-111-1-1-1-111-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1111-11-1-111-1-1-1-111-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1111-1-11111-1-111-1-111-1-1
χ172222222222-2-2-2-2-2-2-2-200002-22-20000000000002-20000002-200000000
χ182222222222-2-2-2-2-2-2-2-200002-22-2000000000000-22000000-2200000000
χ192222222222-2-2-2-2-2-2-2-20000-22-220000000000002-2000000-2200000000
χ202222222222-2-2-2-2-2-2-2-20000-22-22000000000000-220000002-200000000
χ2122222-22-2-2-2222-2-22-2-200000000002i2i−2i−2i02000-2000000000000002i−2i00
χ2222222-22-2-2-2222-2-22-2-200000000002i2i−2i−2i0-2000200000000000000−2i2i00
χ2322222-22-2-2-2222-2-22-2-20000000000−2i−2i2i2i02000-200000000000000−2i2i00
χ2422222-22-2-2-2222-2-22-2-20000000000−2i−2i2i2i0-20002000000000000002i−2i00
χ252222-22-22-2-222-22-2-22-200000000002i−2i2i−2i2000-2000000000000000002i−2i
χ262222-22-22-2-222-22-2-22-200000000002i−2i2i−2i-2000200000000000000000−2i2i
χ272222-22-22-2-222-22-2-22-20000000000−2i2i−2i2i2000-200000000000000000−2i2i
χ282222-22-22-2-222-22-2-22-20000000000−2i2i−2i2i-20002000000000000000002i−2i
χ292222-2-2-2-22222-2-22-2-2222222-2-22-2-22-2-22000000000000000000000000
χ302222-2-2-2-22222-2-22-2-222222-222-2-2-2-222-2000000000000000000000000
χ312222-2-2-2-22222-2-22-2-22-2-2-2-22-2-2222-222-2000000000000000000000000
χ322222-2-2-2-22222-2-22-2-22-2-2-2-2-222-2222-2-22000000000000000000000000
χ332222-2-2-2-222-2-222-222-2000022-2-2000000002-2000000002-20000000000
χ342222-2-2-2-222-2-222-222-2000022-2-200000000-2200000000-220000000000
χ352222-2-2-2-222-2-222-222-20000-2-222000000002-200000000-220000000000
χ362222-2-2-2-222-2-222-222-20000-2-22200000000-22000000002-20000000000
χ372-2-222-2-222-22-2-2222-2-22i2i−2i−2i00002i−2i0000000000002-20000002i−2i000000
χ382-2-222-2-222-22-2-2222-2-22i2i−2i−2i00002i−2i000000000000-22000000−2i2i000000
χ392-2-222-2-222-22-2-2222-2-2−2i−2i2i2i0000−2i2i0000000000002-2000000−2i2i000000
χ402-2-222-2-222-22-2-2222-2-2−2i−2i2i2i0000−2i2i000000000000-220000002i−2i000000
χ412-2-22-222-22-22-22-22-22-22i2i−2i−2i0000−2i2i000000000000002-20000002i−2i0000
χ422-2-22-222-22-22-22-22-22-22i2i−2i−2i0000−2i2i00000000000000-22000000−2i2i0000
χ432-2-22-222-22-22-22-22-22-2−2i−2i2i2i00002i−2i000000000000002-2000000−2i2i0000
χ442-2-22-222-22-22-22-22-22-2−2i−2i2i2i00002i−2i00000000000000-220000002i−2i0000
χ4544444-44-4-4-4-4-4-444-44400000000000000000000000000000000000000
χ464444-44-44-4-4-4-44-444-4400000000000000000000000000000000000000
χ474-4-4444-4-4-444-4-4-4-444400000000000000000000000000000000000000
χ484-4-4444-4-4-44-44444-4-4-400000000000000000000000000000000000000
χ494-4-444-4-444-4-444-4-4-44400000000000000000000000000000000000000
χ504-4-44-444-44-4-44-44-44-4400000000000000000000000000000000000000
χ514-4-44-4-444-444-444-4-4-4400000000000000000000000000000000000000
χ524-4-44-4-444-44-44-4-4444-400000000000000000000000000000000000000
χ5388-8-8000000000000004-44-40000000000000000000000000000000000
χ5488-8-800000000000000-44-440000000000000000000000000000000000
χ558-88-8000000000000004i−4i−4i4i0000000000000000000000000000000000
χ568-88-800000000000000−4i4i4i−4i0000000000000000000000000000000000

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