Finite Group Databasebeta

← Group #486014

Character table — Group #486014

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244224444444222444444444444424444444444448888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-111-1-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111-1-1-1-1111-1-11111-1-11111-1-1-1-1
χ4111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111
χ51111111111111-1-1-1-11-1-111111-1-1-1-1-1-1111-1-1111-111-1-1-1-111-1-1
χ61111111111111-1-1-1-11-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-111
χ71111111111111-1-1-1-11-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111
χ81111111111111-1-1-1-11-1-11-1-1-1-1-1-1111111-111-1-1-1-1-1-1111111-1-1
χ9111111-1-111-1-1-11111-1-1-1-111-1-1-1-111-1-11111-11-1-111-111-1-11-11-1
χ10111111-1-111-1-1-11111-1-1-1-111-1-1-1-111-1-111-11-1-11111-1-1-111-11-11
χ11111111-1-111-1-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-11-1111-1-1-11-11
χ12111111-1-111-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11-1111-11-1-1111-11-1
χ13111111-1-111-1-1-1-1-1-1-1-111-111-1-111-1-111111-111-1-1-11-1-1-1111-1-11
χ14111111-1-111-1-1-1-1-1-1-1-111-111-1-111-1-11111-1-11-111-11-111-1-1-111-1
χ15111111-1-111-1-1-1-1-1-1-1-111-1-1-1111111-1-11111-11-1-1-1-11-1-111-111-1
χ16111111-1-111-1-1-1-1-1-1-1-111-1-1-1111111-1-111-11-1-111-1-1111-1-11-1-11
χ1722222222222222222-222-20000-2-20000-2-2000000-20000000000
χ182222222222222-2-2-2-2-2-2-2-20000220000-2-200000020000000000
χ1922222222-2-22-2-20000200-222220000002-20000000-2-200000000
χ2022222222-2-22-2-20000200-2-2-2-2-20000002-200000002200000000
χ2122222222-2-22-2-20000-20020000002222-220-2-200000000000000
χ2222222222-2-22-2-20000-2002000000-2-2-2-2-2202200000000000000
χ23222222-2-222-2-2-222222-2-220000220000-2-2000000-20000000000
χ24222222-2-222-2-2-2-2-2-2-222220000-2-20000-2-200000020000000000
χ25222222-2-2-2-2-2220000200-200000022-2-2-220-2200000000000000
χ26222222-2-2-2-2-2220000200-2000000-2-222-2202-200000000000000
χ27222222-2-2-2-2-2220000-200222-2-20000002-20000000-2200000000
χ28222222-2-2-2-2-2220000-2002-2-2220000002-200000002-200000000
χ294444-4-44400-40000000000000000000000200-22-200000000000
χ304444-4-44400-40000000000000000000000-2002-2200000000000
χ314444-4-4-4-40040000000000000000000000200-2-2200000000000
χ324444-4-4-4-40040000000000000000000000-20022-200000000000
χ3344-4-4004-40000022-2-202-202i−2i2i−2i002i−2i2i−2i0000000000000000000
χ3444-4-4004-40000022-2-202-20−2i2i−2i2i00−2i2i−2i2i0000000000000000000
χ3544-4-4004-400000-2-2220-2202i−2i2i−2i00−2i2i−2i2i0000000000000000000
χ3644-4-4004-400000-2-2220-220−2i2i−2i2i002i−2i2i−2i0000000000000000000
χ3744-4-400-440000022-2-20-2202i−2i−2i2i002i−2i−2i2i0000000000000000000
χ3844-4-400-440000022-2-20-220−2i2i2i−2i00−2i2i2i−2i0000000000000000000
χ3944-4-400-4400000-2-22202-202i−2i−2i2i00−2i2i2i−2i0000000000000000000
χ4044-4-400-4400000-2-22202-20−2i2i2i−2i002i−2i−2i2i0000000000000000000
χ414-44-44-4000004i−4i000000000000000000000000000002i−2i2-20000
χ424-44-44-4000004i−4i00000000000000000000000000000−2i2i-220000
χ434-44-44-400000−4i4i000000000000000000000000000002i−2i-220000
χ444-44-44-400000−4i4i00000000000000000000000000000−2i2i2-20000
χ454-44-4-44004-40000000000000004i−4i00000000000000000000000
χ464-44-4-44004-4000000000000000−4i4i00000000000000000000000
χ474-44-4-4400-440004i−4i4i−4i000000000000000000000000000000000
χ484-44-4-4400-44000−4i4i−4i4i000000000000000000000000000000000
χ498-8-880000000004i−4i−4i4i000000000000000000000000000000000
χ508-8-88000000000−4i4i4i−4i000000000000000000000000000000000

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