Finite Group Databasebeta

← Group #486016

Character table — Group #486016

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112222444448888888888161616161616161616161616161616161632323232
order12222244224442444444444224444444444444448888
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111-1111-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-1-1-111111-1-1111-111-1-1-1-1-1-111-1-1
χ6111111111111111-1-1-1-1-1-1111-11-1-1-1-1-1-111-1-11111-1-111
χ7111111111111111-1-1-1-1-1-111-11-111111-1-1-111-1-1-1-1-1-111
χ8111111111111111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-111111111-1-1
χ9111111-1-111-1-1-1-1-111-1-1111111-11-11-1-1-11-11-111-1-11-11-1
χ10111111-1-111-1-1-1-1-111-1-111111-1-11-1-111-11-11-1-1-111-11-11
χ11111111-1-111-1-1-1-1-111-1-11111-111-111-1-1-1-11-1111-1-1-11-11
χ12111111-1-111-1-1-1-1-111-1-11111-1-11-11-111-1-11-11-1-1111-11-1
χ13111111-1-111-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-11-1-1111-1-11
χ14111111-1-111-1-1-1-1-1-1-111-1-1111-1-1-11-11111-1-1111-1-1-111-1
χ15111111-1-111-1-1-1-1-1-1-111-1-111-1111-11-1-11-111-1-1-111-111-1
χ16111111-1-111-1-1-1-1-1-1-111-1-111-1-111-1-1111-111-111-1-11-1-11
χ172222222222222-2-22222-2-2-2-200000000-2000000000000
χ182222222222222-2-2-2-2-2-222-2-2000000002000000000000
χ1922222222-2-22-2-22-20000002-2202000000-2-20000000000
χ2022222222-2-22-2-22-20000002-2-20-2000000220000000000
χ2122222222-2-22-2-2-22000000-2200022000000-2-200000000
χ2222222222-2-22-2-2-22000000-22000-2-20000002200000000
χ23222222-2-222-2-2-22222-2-2-2-2-2-2000000002000000000000
χ24222222-2-222-2-2-222-2-22222-2-200000000-2000000000000
χ25222222-2-2-2-2-2222-2000000-220002-2000000-2200000000
χ26222222-2-2-2-2-2222-2000000-22000-220000002-200000000
χ27222222-2-2-2-2-222-220000002-220-2000000-220000000000
χ28222222-2-2-2-2-222-220000002-2-2020000002-20000000000
χ294444-4-44400-400000000000002000-22-20000000000000
χ304444-4-44400-40000000000000-20002-220000000000000
χ314444-4-4-4-400400000000000002000-2-220000000000000
χ324444-4-4-4-40040000000000000-200022-20000000000000
χ3344-4-44-4000004i−4i000000000000000000000002-22i−2i0000
χ3444-4-44-4000004i−4i00000000000000000000000-22−2i2i0000
χ3544-4-44-400000−4i4i000000000000000000000002-2−2i2i0000
χ3644-4-44-400000−4i4i00000000000000000000000-222i−2i0000
χ3744-4-4-44004-40000000004i−4i00000000000000000000000
χ3844-4-4-44004-4000000000−4i4i00000000000000000000000
χ3944-4-4-4400-4400000004i−4i0000000000000000000000000
χ4044-4-4-4400-440000000−4i4i0000000000000000000000000
χ418-88-8000000000004i−4i000000000000000000000000000
χ428-88-800000000000−4i4i000000000000000000000000000
χ438-8-88008i−8i000000000000000000000000000000000000
χ448-8-8800−8i8i000000000000000000000000000000000000

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