Finite Group Databasebeta

← Group #139641

Character table — Group #139641

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444488888888888888888888888888816161616323232323232
order12222222224444444444444444444444444444444442444888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ61111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ911111-1-11-1-111-1-1-1-1-11111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11-1i−ii−i
χ1011111-1-11-1-111-1-1-1-1-11111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-11−ii−ii
χ1111111-1-11-1-111-1-1-1-1-11111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−ii−ii
χ1211111-1-11-1-111-1-1-1-1-11111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-11i−ii−i
χ1311111-1-11-1-111-1-1-1-1-111-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-11i−i−ii
χ1411111-1-11-1-111-1-1-1-1-111-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1111-1−iii−i
χ1511111-1-11-1-111-1-1-1-1-111-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11−iii−i
χ1611111-1-11-1-111-1-1-1-1-111-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1i−i−ii
χ17222222222222-2-2-2-22-2-22222-2-2-2-200000000000000000000000000
χ18222222222222-2-2-2-22-2-2-2-2-2-2222200000000000000000000000000
χ192222222222-2-222-2-2-22-2000000000000000022-2-222-2-20000000000
χ202222222222-2-222-2-2-22-20000000000000000-2-222-2-2220000000000
χ212222222222-2-2-2-222-2-220000000022-2-222-2-2000000000000000000
χ222222222222-2-2-2-222-2-2200000000-2-222-2-222000000000000000000
χ2322222-2-22-2-2222222-2-2-222-2-2-2-22200000000000000000000000000
χ2422222-2-22-2-2222222-2-2-2-2-22222-2-200000000000000000000000000
χ2522222-2-22-2-2-2-222-2-22-22000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ2622222-2-22-2-2-2-222-2-22-2200000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ2722222-2-22-2-2-2-2-2-22222-200000000000000002i2i−2i−2i−2i−2i2i2i0000000000
χ2822222-2-22-2-2-2-2-2-22222-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000000
χ2922-2-2-2002002-22i−2i2i−2i000002i−2i2-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ3022-2-2-2002002-22i−2i2i−2i000002i−2i2-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ3122-2-2-2002002-22i−2i2i−2i00000−2i2i-22001+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ3222-2-2-2002002-22i−2i2i−2i00000−2i2i-2200−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ3322-2-2-2002002-2−2i2i−2i2i000002i−2i-22001−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ3422-2-2-2002002-2−2i2i−2i2i000002i−2i-2200−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ3522-2-2-2002002-2−2i2i−2i2i00000−2i2i2-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ3622-2-2-2002002-2−2i2i−2i2i00000−2i2i2-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ3722-2-2-200200-222i−2i−2i2i0002i−2i00002-21−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000
χ3822-2-2-200200-222i−2i−2i2i0002i−2i00002-2−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000
χ3922-2-2-200200-222i−2i−2i2i000−2i2i0000-221−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000
χ4022-2-2-200200-222i−2i−2i2i000−2i2i0000-22−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000
χ4122-2-2-200200-22−2i2i2i−2i0002i−2i0000-221+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000
χ4222-2-2-200200-22−2i2i2i−2i0002i−2i0000-22−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000
χ4322-2-2-200200-22−2i2i2i−2i000−2i2i00002-21+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000
χ4422-2-2-200200-22−2i2i2i−2i000−2i2i00002-2−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000
χ454444-44-4-44-40000000000000000000000000000000002-22-2000000
χ464444-44-4-44-4000000000000000000000000000000000-22-22000000
χ474444-4-44-4-440000000000000000000000000000000002-2-22000000
χ484444-4-44-4-44000000000000000000000000000000000-222-2000000
χ4988-8-8800-8000000000000000000000000000000000000000000000
χ508-88-800800-80000000000000000000000000000000000000000000
χ518-88-800-80080000000000000000000000000000000000000000000
χ528-8-880800-800000000000000000000000000000000000000000000
χ538-8-880-800800000000000000000000000000000000000000000000

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