Finite Group Databasebeta

← Group #273771

Character table — Group #273771

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122444444888888888816161616161616161616161616161616161616323232
order12224424444422444444882224448888888888888288
χ111111111111111111111111111111111111111111111
χ211111111111111111111111-1-11-1-1-1-1-1-1-1-11111111-1-1-1
χ311111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111-1-11-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1111
χ51111111111111-1111-1-1-111-111-111-1-1-1-1-1-1111-1-1-1-11-11
χ61111111111111-1111-1-1-111-1-1-1-1-1-1111111111-1-1-1-1-11-1
χ71111111111111-1111-1-1-1-1-1-111-111-1-1-1-111-1-1-11111-11-1
χ81111111111111-1111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-11
χ9111111111111-11-1-1-111111-11-1-11-111-1-1111-1-111-1-1-1-11
χ10111111111111-11-1-1-111111-1-11-1-11-1-111-1-11-1-111-1-111-1
χ11111111111111-11-1-1-1111-1-1-11-1-11-111-1-1-1-1-111-1-11111-1
χ12111111111111-11-1-1-1111-1-1-1-11-1-11-1-11111-111-1-111-1-11
χ13111111111111-1-1-1-1-1-1-1-11111-111-1-1-111-1-11-1-1-1-111-111
χ14111111111111-1-1-1-1-1-1-1-1111-111-1111-1-1111-1-1-1-1111-1-1
χ15111111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-11111-11111-1-11-1-1
χ16111111111111-1-1-1-1-1-1-1-1-1-11-111-1111-1-1-1-1-11111-1-1-111
χ172222222-2-2-22-2020002-2-2000200-202-200000000000000
χ182222222-2-2-22-2020002-2-2000-20020-2200000000000000
χ192222222-2-2-22-20-2000-222000200-20-2200000000000000
χ202222222-2-2-22-20-2000-222000-200202-200000000000000
χ21222222-22-2-2-2202000-22-20000200-2002-2000000000000
χ22222222-22-2-2-2202000-22-20000-200200-22000000000000
χ23222222-22-2-2-220-20002-220000200-200-22000000000000
χ24222222-22-2-2-220-20002-220000-2002002-2000000000000
χ25222222-2-222-2-2222-2-2-2-2200-2002000000000000000000
χ26222222-2-222-2-22-22-2-222-200200-2000000000000000000
χ27222222-2-222-2-2-22-222-2-2200200-2000000000000000000
χ28222222-2-222-2-2-2-2-22222-200-2002000000000000000000
χ292222-2-2222-2-2-220-22-2000000000000000000002i−2i2i−2i000
χ302222-2-2222-2-2-220-22-200000000000000000000−2i2i−2i2i000
χ312222-2-2222-2-2-2-202-22000000000000000000002i−2i−2i2i000
χ322222-2-2222-2-2-2-202-2200000000000000000000−2i2i2i−2i000
χ332222-2-2-2-22-22220-2-2200022000000000000-22-20000000
χ342222-2-2-2-22-22220-2-22000-2-20000000000002-220000000
χ352222-2-2-2-22-222-2022-200022000000000000-2-220000000
χ362222-2-2-2-22-222-2022-2000-2-200000000000022-20000000
χ374444-4-44-4-44-4400000000000000000000000000000000
χ384444-4-4-44-444-400000000000000000000000000000000
χ3988-8-8000000000000000000000000000022−220000000000
χ4088-8-80000000000000000000000000000−22220000000000
χ418-88-800000000000000004-40000000000000000000000
χ428-88-80000000000000000-440000000000000000000000
χ438-8-888-800000000000000000000000000000000000000
χ448-8-88-8800000000000000000000000000000000000000

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