Finite Group Databasebeta

← Group #104921

Character table — Group #104921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444444488888888881616161616161616161616161616161632323232
order12222222444444444444448888888888888888888888884444
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ51111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ922222222222222-2-222-2-2-2-20000000022-2-20000000000000000
χ1022222222222222-2-222-2-2-2-200000000-2-2220000000000000000
χ11222222222222-2-22-2-2-22-22-2000000000000000000000000020-2
χ12222222222222-2-22-2-2-22-22-20000000000000000000000000-202
χ13222222222222-2-2-22-2-2-22-2200000000000000000000000020-20
χ14222222222222-2-2-22-2-2-22-22000000000000000000000000-2020
χ1522222222-2-2-2-2222-2-2-22-2-22000000000000000000002i2i−2i−2i0000
χ1622222222-2-2-2-2222-2-2-22-2-2200000000000000000000−2i−2i2i2i0000
χ1722222222-2-2-2-222-22-2-2-222-200000000000000002i2i−2i−2i00000000
χ1822222222-2-2-2-222-22-2-2-222-20000000000000000−2i−2i2i2i00000000
χ1922222222-2-2-2-2-2-2222222-2-22222-2-2-2-200000000000000000000
χ2022222222-2-2-2-2-2-2222222-2-2-2-2-2-2222200000000000000000000
χ2122222222-2-2-2-2-2-2-2-222-2-2220000000000002i2i−2i−2i000000000000
χ2222222222-2-2-2-2-2-2-2-222-2-222000000000000−2i−2i2i2i000000000000
χ232222-2-2-2-2000000222-2-2-200000022-2-22−22−22−22−2000000000000
χ242222-2-2-2-2000000222-2-2-200000022-2-2−22−22−22−22000000000000
χ252222-2-2-2-2000000222-2-2-2000000-2-2222−22−2−22−22000000000000
χ262222-2-2-2-2000000222-2-2-2000000-2-222−22−222−22−2000000000000
χ272222-2-2-2-2000000-2-22-222002i2i−2i−2i00002−2−22i2−i2−i2i2000000000000
χ282222-2-2-2-2000000-2-22-222002i2i−2i−2i0000−222−2−i2i2i2−i2000000000000
χ292222-2-2-2-2000000-2-22-22200−2i−2i2i2i00002−2−22−i2i2i2−i2000000000000
χ302222-2-2-2-2000000-2-22-22200−2i−2i2i2i0000−222−2i2−i2−i2i2000000000000
χ314444-4-4-4-40000004-4-44-44000000000000000000000000000000
χ324444-4-4-4-4000000-44-444-4000000000000000000000000000000
χ3344-4-44-4-4444-4-400000000002-22-22-22-200000000000000000000
χ3444-4-44-4-4444-4-40000000000-22-22-22-2200000000000000000000
χ3544-4-44-4-44-4-44400000000002-22-2-22-2200000000000000000000
χ3644-4-44-4-44-4-4440000000000-22-222-22-200000000000000000000
χ3744-4-4-444-400004i−4i000000002i−2i−2i2i2-2-2200000000000000000000
χ3844-4-4-444-400004i−4i00000000−2i2i2i−2i-222-200000000000000000000
χ3944-4-4-444-40000−4i4i000000002i−2i−2i2i-222-200000000000000000000
χ4044-4-4-444-40000−4i4i00000000−2i2i2i−2i2-2-2200000000000000000000
χ414-44-4-44-444-44-4000000000000000000000000002i−2i2i−2i00000000
χ424-44-4-44-444-44-400000000000000000000000000−2i2i−2i2i00000000
χ434-44-4-44-44-44-44000000000000000000000000002-2-2200000000
χ444-44-4-44-44-44-4400000000000000000000000000-222-200000000
χ454-4-44-4-4444-4-440000000000000000000000000000002-22-20000
χ464-4-44-4-4444-4-44000000000000000000000000000000-22-220000
χ474-4-44-4-444-444-40000000000000000000000000000002i−2i−2i2i0000
χ484-4-44-4-444-444-4000000000000000000000000000000−2i2i2i−2i0000
χ498-88-88-88-8000000000000000000000000000000000000000000
χ508-8-8888-8-8000000000000000000000000000000000000000000

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