Finite Group Databasebeta

← Group #134530

Character table — Group #134530

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122224444444444444444888888888888881616161616161616161616161616161616161616
order12222222222222224444444444442222444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111111111-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ12111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222222222222222-2-22222-2-2-2-2-2-20000-2-2-2-222000000000000000000000000
χ182222222222222222-2-2-2-2-2-22222-2-20000-2-222-2-2000000000000000000000000
χ19222222222222-2-2-2-2222222-2-2-2-2220000-2-222-2-2000000000000000000000000
χ20222222222222-2-2-2-222-2-2-2-22222220000-2-2-2-222000000000000000000000000
χ21222-2-2-22-22-22-200002i−2i00002i2i−2i−2i2i−2i000000002-2000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000
χ22222-2-2-22-22-22-200002i−2i00002i2i−2i−2i2i−2i000000002-200000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000
χ23222-2-2-22-22-22-200002i−2i0000−2i−2i2i2i2i−2i00000000-22000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i00000000
χ24222-2-2-22-22-22-200002i−2i0000−2i−2i2i2i2i−2i00000000-2200000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i00000000
χ25222-2-2-22-22-22-20000−2i2i00002i2i−2i−2i−2i2i00000000-22000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i00000000
χ26222-2-2-22-22-22-20000−2i2i00002i2i−2i−2i−2i2i00000000-2200000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i00000000
χ27222-2-2-22-22-22-20000−2i2i0000−2i−2i2i2i−2i2i000000002-2000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000
χ28222-2-2-22-22-22-20000−2i2i0000−2i−2i2i2i−2i2i000000002-200000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000
χ2922-222-2-2-22-2-2222-2-22200000000-2-222-2-22-2000000002-2000000000000000000
χ3022-222-2-2-22-2-2222-2-22200000000-2-2-2-2222-200000000-22000000000000000000
χ3122-222-2-2-22-2-2222-2-2-2-200000000220000-2200002i2i−2i−2i002i−2i0000000000000000
χ3222-222-2-2-22-2-2222-2-2-2-200000000220000-220000−2i−2i2i2i00−2i2i0000000000000000
χ3322-222-2-2-22-2-22-2-2222200000000-2-20000-2200002i2i−2i−2i00−2i2i0000000000000000
χ3422-222-2-2-22-2-22-2-2222200000000-2-20000-220000−2i−2i2i2i002i−2i0000000000000000
χ3522-222-2-2-22-2-22-2-222-2-2000000002222-2-22-200000000-22000000000000000000
χ3622-222-2-2-22-2-22-2-222-2-20000000022-2-2222-2000000002-2000000000000000000
χ3722-2-2-22-22-2-2222-22-20000002-22-2000000002-2000000000000000000i2−i2i2−i2i2−i2i2−i2
χ3822-2-2-22-22-2-2222-22-20000002-22-2000000002-2000000000000000000−i2i2−i2i2−i2i2−i2i2
χ3922-2-2-22-22-2-2222-22-2000000-22-2200000000-22000000000000000000i2−i2i2−i2−i2i2−i2i2
χ4022-2-2-22-22-2-2222-22-2000000-22-2200000000-22000000000000000000−i2i2−i2i2i2−i2i2−i2
χ4122-2-2-22-22-2-222-22-220000002-22-200000000-220000000000000000002−2−222−2−22
χ4222-2-2-22-22-2-222-22-220000002-22-200000000-22000000000000000000−222−2−222−2
χ4322-2-2-22-22-2-222-22-22000000-22-22000000002-20000000000000000002−2−22−222−2
χ4422-2-2-22-22-2-222-22-22000000-22-22000000002-2000000000000000000−222−22−2−22
χ4544444444-4-4-4-400000044-4-40000000000000000000000000000000000000000
χ4644444444-4-4-4-4000000-4-4440000000000000000000000000000000000000000
χ47444-4-4-44-4-44-444-4-440000000000000000000000000000000000000000000000
χ48444-4-4-44-4-44-44-444-40000000000000000000000000000000000000000000000
χ4944-444-4-4-4-444-400000000004i−4i−4i4i000000000000000000000000000000000000
χ5044-444-4-4-4-444-40000000000−4i4i4i−4i000000000000000000000000000000000000
χ5144-4-4-44-4444-4-400004i−4i00000000−4i4i0000000000000000000000000000000000
χ5244-4-4-44-4444-4-40000−4i4i000000004i−4i0000000000000000000000000000000000
χ534-444-44-4-40000000000004i−4i0000002-22-20000002i−2i2i−2i00000000000000000000
χ544-444-44-4-40000000000004i−4i000000-22-22000000−2i2i−2i2i00000000000000000000
χ554-444-44-4-4000000000000−4i4i0000002-22-2000000−2i2i−2i2i00000000000000000000
χ564-444-44-4-4000000000000−4i4i000000-22-220000002i−2i2i−2i00000000000000000000
χ574-4-44-4-44400000000004-4000000002-2-220000002-2-2200000000000000000000
χ584-4-44-4-44400000000004-400000000-222-2000000-222-200000000000000000000
χ594-4-44-4-4440000000000-44000000002-2-22000000-222-200000000000000000000
χ604-4-44-4-4440000000000-4400000000-222-20000002-2-2200000000000000000000
χ618-88-88-8-88000000000000000000000000000000000000000000000000000000
χ628-8-8-8888-8000000000000000000000000000000000000000000000000000000

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