Finite Group Databasebeta

← Group #238162

Character table — Group #238162

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111112222222222224444444488888888888888888888888816161616161616161616161616161616
order12222222222244444444444444448888888888888888888888884444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-11-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-11
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1111-1-1-1-1-1-1-1-1-11
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-11-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111
χ911111111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-111-111-1-111-1-1-1-1
χ1011111111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-11-1-11111-1-111
χ1111111111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-11-1-111-1-111-11
χ1211111111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-111-1-1-1-1111-1
χ1311111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-1111-1
χ1411111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-111-11
χ1511111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-1111-1-111-1-111
χ1611111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-111-1-1-11111-1-1-1-1
χ17222222222222222-2-2-22-2-2-2-222-2-2-20000000000000000000000000002-22000000000-2
χ18222222222222222-2-2-22-2-2-2-222-2-2-2000000000000000000000000000-22-20000000002
χ19222222222222-2-2-2222-22-2-2-2-2-222-20000000000000000000000002-2200000000000-20
χ20222222222222-2-2-2222-22-2-2-2-2-222-2000000000000000000000000-22-20000000000020
χ21222222222222-2-2-2-2-2-2-2-2222-2-2-2-2200000000000000000000000000000000002-22-200
χ22222222222222-2-2-2-2-2-2-2-2222-2-2-2-220000000000000000000000000000000000-22-2200
χ2322222222-2-2-2-2222-2-2-22-2-222-2-222-20000000000000000000000000002-2-20000000002
χ2422222222-2-2-2-2222-2-2-22-2-222-2-222-2000000000000000000000000000-222000000000-2
χ2522222222-2-2-2-2-2-2-2222-22-22222-2-2-20000000000000000000000002-2-20000000000020
χ2622222222-2-2-2-2-2-2-2222-22-22222-2-2-2000000000000000000000000-22200000000000-20
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22-2-22222200000000000000000000000000000000002-2-2200
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22-2-2222220000000000000000000000000000000000-222-200
χ2922-2-2-222-222-2-222-222-2-2-222-22-22-2-20000000000000000000000000000002-22-2000000
χ3022-2-2-222-222-2-222-222-2-2-222-22-22-2-2000000000000000000000000000000-22-22000000
χ3122-2-2-222-222-2-222-2-2-22-22-2-222-2-2222i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ3222-2-2-222-222-2-222-2-2-22-22-2-222-2-222−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ3322-2-2-222-222-2-2-2-2222-22-2-2-22-222-22000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ3422-2-2-222-222-2-2-2-2222-22-2-2-22-222-2200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3522-2-2-222-222-2-2-2-22-2-222222-2-22-22-200000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ3622-2-2-222-222-2-2-2-22-2-222222-2-22-22-20000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ3722-2-2-222-2-2-22222-222-2-2-22-22-22-22-20000000000000000000000000000002-2-22000000
χ3822-2-2-222-2-2-22222-222-2-2-22-22-22-22-2000000000000000000000000000000-222-2000000
χ3922-2-2-222-2-2-22222-2-2-22-22-22-2-222-222i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ4022-2-2-222-2-2-22222-2-2-22-22-22-2-222-22−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ4122-2-2-222-2-2-222-2-2222-22-2-22-22-2-222000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4222-2-2-222-2-2-222-2-2222-22-2-22-22-2-22200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ4322-2-2-222-2-2-222-2-22-2-22222-222-22-2-200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ4422-2-2-222-2-2-222-2-22-2-22222-222-22-2-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ454444-4-4-4-44-44-4000000000000000000000000000000002-22-22-22-20000000000000000
χ464444-4-4-4-44-44-400000000000000000000000000000000-22-22-22-220000000000000000
χ474444-4-4-4-4-44-44000000000000000000000000000000002-22-2-22-220000000000000000
χ484444-4-4-4-4-44-4400000000000000000000000000000000-22-222-22-20000000000000000
χ4944-4-44-4-444-4-44000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ5044-4-44-4-444-4-4400000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ5144-4-44-4-44-444-4000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ5244-4-44-4-44-444-400000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ534-44-444-4-400000004-440-400000000000022−2222−2200000000000000000000000000000000
χ544-44-444-4-400000004-440-4000000000000−2222−222200000000000000000000000000000000
χ554-44-444-4-40000000-44-404000000002i2−2i22i2−2i2000000000000000000000000000000000000
χ564-44-444-4-40000000-44-40400000000−2i22i2−2i22i2000000000000000000000000000000000000
χ574-44-4-4-44400004-44000-4000000000000000002i2−2i22i2−2i20000000000000000000000000000
χ584-44-4-4-44400004-44000-400000000000000000−2i22i2−2i22i20000000000000000000000000000
χ594-44-4-4-4440000-44-4000400000000000000000000022−2222−22000000000000000000000000
χ604-44-4-4-4440000-44-40004000000000000000000000−2222−2222000000000000000000000000
χ614-4-444-44-400004-4-400040000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ624-4-444-44-400004-4-40004000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ634-4-444-44-40000-444000-40000000000000000022−22−22220000000000000000000000000000
χ644-4-444-44-40000-444000-400000000000000000−222222−220000000000000000000000000000
χ654-4-44-44-4400000004-4-4040000000022−22−2222000000000000000000000000000000000000
χ664-4-44-44-4400000004-4-40400000000−222222−22000000000000000000000000000000000000
χ674-4-44-44-440000000-4440-40000000000002i2−2i2−2i22i200000000000000000000000000000000
χ684-4-44-44-440000000-4440-4000000000000−2i22i22i2−2i200000000000000000000000000000000

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