Finite Group Databasebeta

← Group #505524

Character table — Group #505524

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444448888888888888161616161616161616161616161616161616163232
order1222224444888888222444444488824444488888161616161616161644
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-111-111-1-11-1-1-111-1-1-1-111-1-1-1-1-1-111111-1
χ4111111111111111111-111-111-1-11-1-1-1-1-1-111-111-1-11111-1-1-1-1-11
χ51111111111111111-1-11-1-111111111-111-1111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111-1-11-1-111111111-1-1-1-1-1-11-1-1-1-111111111-1-1
χ71111111111111111-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-1111111-1-1-1-11-1
χ81111111111111111-1-1-1-1-1-111-1-11-1-11-1-1111-1-1-111-1-1-1-11111-11
χ911111111111-1-1111111111-1-1-1-1-1-1-11111-1-11-1-1-1-111-1-111-1-1-11
χ1011111111111-1-1111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1111-1
χ1111111111111-1-111111-111-1-1-111-111-111-111-1-1-111-1-11111-1-1-1-1
χ1211111111111-1-111111-111-1-1-111-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1311111111111-1-1111-1-11-1-11-1-1-1-1-1-1-1-111-1-1-111111-1-111-1-111-11
χ1411111111111-1-1111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11-1
χ1511111111111-1-1111-1-1-1-1-1-1-1-111-111111111-111-1-111-1-1-1-111-1-1
χ1611111111111-1-1111-1-1-1-1-1-1-1-111-1111-1-11-1-1-111-1-1-1-11111-1-111
χ172222222222-222-2-2-2002002-2-2-2-2222000000-200000000000000
χ182222222222-222-2-2-200-200-2-2-2222-2-2000000200000000000000
χ192222222222-2-2-2-2-2-20020022222-2-2-2000000-200000000000000
χ202222222222-2-2-2-2-2-200-200-222-2-2-222000000200000000000000
χ212222-2-222-2-2200-2-22220-2-20002i−2i02i−2i0000000002i−2i0000000000
χ222222-2-222-2-2200-2-22220-2-2000−2i2i0−2i2i000000000−2i2i0000000000
χ232222-2-222-2-2200-2-22-2-20220002i−2i02i−2i000000000−2i2i0000000000
χ242222-2-222-2-2200-2-22-2-2022000−2i2i0−2i2i0000000002i−2i0000000000
χ252222-2-222-2-2-20022-2000000002i−2i0−2i2i200-20002i−2i000000000000
χ262222-2-222-2-2-20022-2000000002i−2i0−2i2i-2002000−2i2i000000000000
χ272222-2-222-2-2-20022-200000000−2i2i02i−2i200-2000−2i2i000000000000
χ282222-2-222-2-2-20022-200000000−2i2i02i−2i-20020002i−2i000000000000
χ292-2-222-2-222-22002-2-22-202-20000000002i−2i0000000000002i−2i0000
χ302-2-222-2-222-22002-2-22-202-2000000000−2i2i000000000000−2i2i0000
χ312-2-222-2-222-22002-2-2-220-220000000002i−2i000000000000−2i2i0000
χ322-2-222-2-222-22002-2-2-220-22000000000−2i2i0000000000002i−2i0000
χ332-2-22-22-22-22200-22-22-20-220000000000002i−2i00000002i−2i000000
χ342-2-22-22-22-22200-22-22-20-22000000000000−2i2i0000000−2i2i000000
χ352-2-22-22-22-22200-22-2-2202-20000000000002i−2i0000000−2i2i000000
χ362-2-22-22-22-22200-22-2-2202-2000000000000−2i2i00000002i−2i000000
χ37444444-4-4-4-400000000400-40000000000000000000000000000
χ38444444-4-4-4-400000000-40040000000000000000000000000000
χ394444-4-4-4-4440440000000000000-400000000000000000000000
χ404444-4-4-4-4440-4-40000000000000400000000000000000000000
χ414-4-444-44-4-440000000000000000000000000000002i2−2i200000000
χ424-4-444-44-4-44000000000000000000000000000000−2i22i200000000
χ434-4-444-4-444-4-400-4440000000000000000000000000000000000
χ444-4-44-444-44-40000000000000000000000000000000000002i2−2i200
χ454-4-44-444-44-4000000000000000000000000000000000000−2i22i200
χ464-4-44-44-44-44-4004-440000000000000000000000000000000000
χ4788-8-80000000000000000004i−4i00000000000000000000000000
χ4888-8-8000000000000000000−4i4i00000000000000000000000000
χ498-88-800000004i2−4i20000000000000000000000000000000000000
χ508-88-80000000−4i24i20000000000000000000000000000000000000

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