Finite Group Databasebeta

← Group #169482

Character table — Group #169482

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444424444444442244444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-1-1-1-11-11111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-1-11-1-1-1-1-11111-1-1-1-111
χ51111111111111111111-1-11-1-11111-11-11-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111-1-11-1-11111-11-11-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111-1-11-1-1-1-1-1-1-1-11-111-1111111111-1-1-1-1-1-1
χ81111111111111111111-1-11-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-1-1111111
χ9111111111-1-1-1-111111-111-1-1-111-1-1-1-111-111-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-111111-111-1-1-111-1-1-1-111-111-1-1-111-1-111-1-111-11
χ11111111111-1-1-1-111111-111-1-1-1-1-111-11-1-11-11111-1-1-1-11111-1-1-11
χ12111111111-1-1-1-111111-111-1-1-1-1-111-11-1-11-111-1-11111-1-1-1-1111-1
χ13111111111-1-1-1-111111-1-1-1-11111-1-11-1-111-1-1111-1-1-1-111-1-1111-1
χ14111111111-1-1-1-111111-1-1-1-11111-1-11-1-111-1-11-1-11111-1-111-1-1-11
χ15111111111-1-1-1-111111-1-1-1-111-1-111111-1-11-1-111-1-111-1-1-1-111-11
χ16111111111-1-1-1-111111-1-1-1-111-1-111111-1-11-1-1-1-111-1-11111-1-11-1
χ1722222222222-2-2-2-2-2-22200-20000000020-2-20200000000000000
χ1822222222222-2-2-2-2-2-22200-200000000-20220-200000000000000
χ19222222222-2-222-2-2-2-22-200200000000202-20-200000000000000
χ20222222222-2-222-2-2-2-22-200200000000-20-220200000000000000
χ2122222222-2222222-2-2-2-222-2220000-200000-2000000000000000
χ2222222222-2222222-2-2-2-2-2-2-2-2-200002000002000000000000000
χ2322222222-222-2-2-2-222-2-20020022-2-2020-2000000000000000000
χ2422222222-222-2-2-2-222-2-200200-2-2220-202000000000000000000
χ2522222222-2-2-222-2-222-2200-20022220-20-2000000000000000000
χ2622222222-2-2-222-2-222-2200-200-2-2-2-20202000000000000000000
χ2722222222-2-2-2-2-222-2-2-22222-2-20000200000-2000000000000000
χ2822222222-2-2-2-2-222-2-2-22-2-22220000-2000002000000000000000
χ2922-22-2-22-202i−2i2i−2i2-200002-202i−2i000000000000i2−i22−20000i2−i22−200
χ3022-22-2-22-202i−2i2i−2i2-200002-202i−2i000000000000−i2i2−220000−i2i2−2200
χ3122-22-2-22-202i−2i2i−2i2-20000-220−2i2i000000000000i2−i22−20000−i2i2−2200
χ3222-22-2-22-202i−2i2i−2i2-20000-220−2i2i000000000000−i2i2−220000i2−i22−200
χ3322-22-2-22-20−2i2i−2i2i2-200002-20−2i2i000000000000i2−i2−220000i2−i2−2200
χ3422-22-2-22-20−2i2i−2i2i2-200002-20−2i2i000000000000−i2i22−20000−i2i22−200
χ3522-22-2-22-20−2i2i−2i2i2-20000-2202i−2i000000000000i2−i2−220000−i2i22−200
χ3622-22-2-22-20−2i2i−2i2i2-20000-2202i−2i000000000000−i2i22−20000i2−i2−2200
χ3744-44-4-44-404i−4i−4i4i-4400000000000000000000000000000000000
χ3844-44-4-44-40−4i4i4i−4i-4400000000000000000000000000000000000
χ3944-4-44-4-4400000004-40000000004i−4i0000000000000000000000
χ4044-4-44-4-4400000004-4000000000−4i4i0000000000000000000000
χ4144-4-44-4-440000000-4400000004i−4i000000000000000000000000
χ4244-4-44-4-440000000-440000000−4i4i000000000000000000000000
χ434-4-4-4444-4400000000-400000000000000000000002i2−2i200000000
χ444-4-4-4444-4400000000-40000000000000000000000−2i22i200000000
χ454-4-4-4444-4-400000000400000000000000000000000022−22000000
χ464-4-4-4444-4-4000000004000000000000000000000000−2222000000
χ47888-8-88-8-8000000000000000000000000000000000000000000
χ488-8888-8-8-8000000000000000000000000000000000000000000
χ498-88-8-8-888000000000000000000000000000000000000000000
χ508-8-88-88-88000000000000000000000000000000000000000000

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