Finite Group Databasebeta

← Group #251920

Character table — Group #251920

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111224444448888888888881616161616161616161616161616161632323232
order12222222222244444444444422444444444444444444
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-111-111111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-111
χ51111111111111111-1-111-1-1-1-1111-111-1-111-1-1-1-1-1-1-1-111
χ61111111111111111-1-111-1-1-1-1-1-11-1-1-1-1-111-1-1111111-1-1
χ71111111111111111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1
χ81111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ9111111111111-1-1-1-11111-1-1-1-11-1111-1-1-1-1-11111-1-11-11-1
χ10111111111111-1-1-1-11111-1-1-1-1-1111-11-1-1-1-111-1-111-11-11
χ11111111111111-1-1-1-111-1-111111-1-111-1-1-111-1-1-1-1111-1-11
χ12111111111111-1-1-1-111-1-11111-11-11-11-1-111-1-111-1-1-111-1
χ13111111111111-1-1-1-1-1-11111111-11-11-111-1-1-1-1-1-111-111-1
χ14111111111111-1-1-1-1-1-1111111-111-1-1111-1-1-1-111-1-11-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-111111111-1-1-11-11
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-1-1111-11-1
χ172222222-2-2-2-2222-2-2000022-2-200000000002-200000000
χ182222222-2-2-2-2222-2-20000-2-2220000000000-2200000000
χ192222222-2-2-2-22-2-222000022-2-20000000000-2200000000
χ202222222-2-2-2-22-2-2220000-2-22200000000002-200000000
χ21222222-222-2-2-22-22-20022000000-2000002-20000000000
χ22222222-222-2-2-22-22-200-2-2000000200000-220000000000
χ23222222-222-2-2-2-22-220022000000-200000-220000000000
χ24222222-222-2-2-2-22-2200-2-20000002000002-20000000000
χ25222222-2-2-222-22-2-2222000000000-2002-2000000000000
χ26222222-2-2-222-22-2-22-2-2000000000200-22000000000000
χ27222222-2-2-222-2-222-222000000000-200-22000000000000
χ28222222-2-2-222-2-222-2-2-20000000002002-2000000000000
χ292222-2-222-22-2-2000000002i−2i2i−2i02000-20000002i−2i000000
χ302222-2-222-22-2-2000000002i−2i2i−2i0-20002000000−2i2i000000
χ312222-2-222-22-2-200000000−2i2i−2i2i02000-2000000−2i2i000000
χ322222-2-222-22-2-200000000−2i2i−2i2i0-200020000002i−2i000000
χ332222-2-22-22-22-2000000002i−2i−2i2i2000-20000000002i−2i0000
χ342222-2-22-22-22-2000000002i−2i−2i2i-20002000000000−2i2i0000
χ352222-2-22-22-22-200000000−2i2i2i−2i2000-2000000000−2i2i0000
χ362222-2-22-22-22-200000000−2i2i2i−2i-200020000000002i−2i0000
χ374444-4-4-44-4-44400000000000000000000000000000000
χ384444-4-4-4-444-4400000000000000000000000000000000
χ3988-8-8000000000000004i−4i000000000000000000000000
χ4088-8-800000000000000−4i4i000000000000000000000000
χ418-88-80000000000004i−4i00000000000000000000000000
χ428-88-8000000000000−4i4i00000000000000000000000000
χ438-8-888-800000000000000000000000000000000000000
χ448-8-88-8800000000000000000000000000000000000000

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