Finite Group Databasebeta

← Group #330472

Character table — Group #330472

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222222244444488888888888888888816161616161616161616161632323232
order12222222444444444444442244444444888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ9111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11-11-1
χ10111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-11-11
χ11111111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-1111-1-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-111-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1-11-11
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111-111-1
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-11-1-11
χ172222222222-2-22-2-22-2-222-2-2222-222-2-2-2-2000000000000000000000000
χ182222222222-2-22-2-22-2-222-2-2-2-22-2-2-22222000000000000000000000000
χ192222222222-2-22-2-22-2-2-2-22222-22-2-222-2-2000000000000000000000000
χ202222222222-2-22-2-22-2-2-2-222-2-2-2222-2-222000000000000000000000000
χ2122222222-2-222-222-2-2-2222200-2-20000002222-2-2-2-20000000000000000
χ2222222222-2-222-222-2-2-2222200-2-2000000-2-2-2-222220000000000000000
χ2322222222-2-222-222-2-2-2-2-2-2-2002200000022-2-2-2-2220000000000000000
χ2422222222-2-222-222-2-2-2-2-2-2-20022000000-2-22222-2-20000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-200-2200000000000000002i−2i2i−2i0000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-200-220000000000000000−2i2i−2i2i0000000000
χ2722222222-2-2-2-2-2-2-2-222-2-222002-200000000000000002i−2i−2i2i0000000000
χ2822222222-2-2-2-2-2-2-2-222-2-222002-20000000000000000−2i2i2i−2i0000000000
χ292-2-2-2-222200-2-20220002-22-2000000000000002-22-22−200002−22−22−20000
χ302-2-2-2-222200-2-20220002-22-2000000000000002-22-2−220000−22−22−220000
χ312-2-2-2-222200-2-20220002-22-200000000000000-22-222−200002−2−22−220000
χ322-2-2-2-222200-2-20220002-22-200000000000000-22-22−220000−222−22−20000
χ332-2-2-2-222200-2-2022000-22-22000000000000002-2-222−20000−222−2−220000
χ342-2-2-2-222200-2-2022000-22-22000000000000002-2-22−2200002−2−222−20000
χ352-2-2-2-222200-2-2022000-22-2200000000000000-222-22−20000−22−222−20000
χ362-2-2-2-222200-2-2022000-22-2200000000000000-222-2−2200002−22−2−220000
χ37444-4-44-4-44-400400-400000000004-40000000000000000000000000000
χ38444-4-44-4-44-400400-40000000000-440000000000000000000000000000
χ39444-4-44-4-4-4400-40040000000000004i−4i00000000000000000000000000
χ40444-4-44-4-4-4400-4004000000000000−4i4i00000000000000000000000000
χ4144-44-4-44-44-400-4004000000000000004i−4i000000000000000000000000
χ4244-44-4-44-44-400-400400000000000000−4i4i000000000000000000000000
χ4344-44-4-44-4-4400400-40000004-400000000000000000000000000000000
χ4444-44-4-44-4-4400400-4000000-4400000000000000000000000000000000
χ4544-4-44-4-44444-4-44-4-44-400000000000000000000000000000000000000
χ4644-4-44-4-4444-44-4-44-4-4400000000000000000000000000000000000000
χ4744-4-44-4-44-4-44-444-44-4400000000000000000000000000000000000000
χ4844-4-44-4-44-4-4-444-4444-400000000000000000000000000000000000000
χ494-444-4-4-44004-40-4400000000000000000004i−4i00000000000000000000
χ504-444-4-4-44004-40-440000000000000000000−4i4i00000000000000000000
χ514-444-4-4-4400-4404-4000000000000000004i−4i0000000000000000000000
χ524-444-4-4-4400-4404-400000000000000000−4i4i0000000000000000000000
χ534-4-4-4-444400440-4-40004-4-440000000000000000000000000000000000
χ544-4-4-4-444400440-4-4000-444-40000000000000000000000000000000000
χ558-88-88-88-8000000000000000000000000000000000000000000000000
χ568-8-8888-8-8000000000000000000000000000000000000000000000000

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