Finite Group Databasebeta

← Group #102732

Character table — Group #102732

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444444488888888881616161616161616161616161616161632323232
order12222222444422444444444444444444448888888888882444
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
χ51111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ922222222222222-2-222-2-2-2-200000000000022-2-2000000000000
χ1022222222222222-2-222-2-2-2-2000000000000-2-222000000000000
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
χ1522222222-2-2-2-2222-2-2-22-2-22000000000000000022-2-200000000
χ1622222222-2-2-2-2222-2-2-22-2-220000000000000000-2-22200000000
χ1722222222-2-2-2-222-22-2-2-222-20000000000000000000022-2-20000
χ1822222222-2-2-2-222-22-2-2-222-200000000000000000000-2-2220000
χ1922222222-2-2-2-2-2-2222222-2-20000000022-2-20000000000000000
χ2022222222-2-2-2-2-2-2222222-2-200000000-2-2220000000000000000
χ2122222222-2-2-2-2-2-2-2-222-2-2222i2i2i2i−2i−2i−2i−2i00000000000000000000
χ2222222222-2-2-2-2-2-2-2-222-2-222−2i−2i−2i−2i2i2i2i2i00000000000000000000
χ232-2-2-2-22222-22-2-22002-20000000000000000002-22−22−22−22−20000
χ242-2-2-2-22222-22-2-22002-20000000000000000002-2−22−22−22−220000
χ252-2-2-2-22222-22-2-22002-2000000000000000000-222−22−2−22−220000
χ262-2-2-2-22222-22-2-22002-2000000000000000000-22−22−222−22−20000
χ272-2-2-2-2222-22-22-2200-2200000000000000002-2002−2−222−2−220000
χ282-2-2-2-2222-22-22-2200-2200000000000000002-200−222−2−222−20000
χ292-2-2-2-2222-22-22-2200-220000000000000000-22002−2−22−222−20000
χ302-2-2-2-2222-22-22-2200-220000000000000000-2200−222−22−2−220000
χ31444-4-4-44-444-4-4000000000022-2-222-2-200000000000000000000
χ32444-4-4-44-444-4-40000000000-2-222-2-22200000000000000000000
χ33444-4-4-44-4-4-44400000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ34444-4-4-44-4-4-4440000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ3544-44-44-4-400000004000-4002-22-22-22-200000000000000000000
χ3644-44-44-4-400000004000-400-22-22-22-2200000000000000000000
χ3744-44-44-4-40000000-40004002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ3844-44-44-4-40000000-4000400−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ3944-4-44-4-440000004000-40002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ4044-4-44-4-440000004000-4000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ4144-4-44-4-44000000-400040002-2-222-2-2200000000000000000000
χ4244-4-44-4-44000000-40004000-222-2-222-200000000000000000000
χ434-4-444-44-44-4-440000000000000000002i−2i2i−2i0000000000000000
χ444-4-444-44-44-4-44000000000000000000−2i2i−2i2i0000000000000000
χ454-4-444-44-4-444-40000000000000000002i−2i−2i2i0000000000000000
χ464-4-444-44-4-444-4000000000000000000−2i2i2i−2i0000000000000000
χ474-4-4-4-44444-44-44-400-4400000000000000000000000000000000
χ484-4-4-4-4444-44-444-4004-400000000000000000000000000000000
χ498-888-8-8-88000000000000000000000000000000000000000000
χ508-88-888-8-8000000000000000000000000000000000000000000

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