Finite Group Databasebeta

← Group #174376

Character table — Group #174376

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111111112222444444444488888888888888888888816161616161616161616161616163232
order12222222222244444444444444488888888888888882444444444888844
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1111111
χ51111111111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-111-11-1-1-1-11-11111-1-1
χ61111111111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-111
χ71111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111111111-11-1-1-1-11-1-1-1-1-111
χ81111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-111111-1-1
χ911111111-1-1-1-11-1-11-1-1111111-1-1-11111-1-1-1-11111-1-1-1-11-1-111-111-1-111-1-11-1
χ1011111111-1-1-1-11-1-11-1-1111111-1-1-11111-1-1-1-11111-1-1-1-1-11-1-1-11-1111-1-111-11
χ1111111111-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1-11111-1-1-1-111111-1-111-111-1-1-1-111-11
χ1211111111-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1-11-111111-1-11-1
χ1311111111-1-1-1-11-1-11-1-11111-1-1-1111111-1-1-1-1-1-1-1-111111-111-11-1-1-1111-1-1-11
χ1411111111-1-1-1-11-1-11-1-11111-1-1-1111111-1-1-1-1-1-1-1-11111-111-11-11-11-1-1-1111-1
χ1511111111-1-1-1-11-1-11-1-11111-1-1-111-1-1-1-111111111-1-1-1-11-111-11-1-1-11-1-1111-1
χ1611111111-1-1-1-11-1-11-1-11111-1-1-111-1-1-1-111111111-1-1-1-1-111-11-11-11-111-1-1-11
χ17222222222222222-2-2-2-2-22-200-200000000000000000000002-2-2002000000
χ18222222222222222-2-2-2-2-22-200-20000000000000000000000-22200-2000000
χ19222222222222-2-2-2222-2-2-2200-2000000000000000000220-20000-20000000
χ20222222222222-2-2-2222-2-2-2200-2000000000000000000-2-202000020000000
χ21222222222222-2-2-2-2-2-222-2-2222-2-200000000000000000020000-200000000
χ22222222222222-2-2-2-2-2-222-2-2-2-2222000000000000000000-20000200000000
χ2322222222-2-2-2-22-2-2-222-2-22-2002000000000000000000000022-200-2000000
χ2422222222-2-2-2-22-2-2-222-2-22-20020000000000000000000000-2-22002000000
χ2522222222-2-2-2-2-2222-2-2-2-2-220020000000000000000002-20-2000020000000
χ2622222222-2-2-2-2-2222-2-2-2-2-22002000000000000000000-22020000-20000000
χ2722222222-2-2-2-2-222-22222-2-222-222000000000000000000-20000-200000000
χ2822222222-2-2-2-2-222-22222-2-2-2-2-2-2-200000000000000000020000200000000
χ292-2-222-22-2000002i−2i02i−2i2-2002-202i−2ii2i2−i2−i222−2−2i2i2−i2−i222−2−20000000000000000
χ302-2-222-22-2000002i−2i02i−2i2-2002-202i−2i−i2−i2i2i2−2−222−i2−i2i2i2−2−2220000000000000000
χ312-2-222-22-2000002i−2i02i−2i2-200-220−2i2ii2i2−i2−i222−2−2−i2−i2i2i2−2−2220000000000000000
χ322-2-222-22-2000002i−2i02i−2i2-200-220−2i2i−i2−i2i2i2−2−222i2i2−i2−i222−2−20000000000000000
χ332-2-222-22-200000−2i2i0−2i2i2-2002-20−2i2ii2i2−i2−i2−2−222i2i2−i2−i2−2−2220000000000000000
χ342-2-222-22-200000−2i2i0−2i2i2-2002-20−2i2i−i2−i2i2i222−2−2−i2−i2i2i222−2−20000000000000000
χ352-2-222-22-200000−2i2i0−2i2i2-200-2202i−2ii2i2−i2−i2−2−222−i2−i2i2i222−2−20000000000000000
χ362-2-222-22-200000−2i2i0−2i2i2-200-2202i−2i−i2−i2i2i222−2−2i2i2−i2−i2−2−2220000000000000000
χ374444-4-4-4-444-4-40000000000000002-22-22-22-2000000000000000000000000
χ384444-4-4-4-444-4-4000000000000000-22-22-22-22000000000000000000000000
χ394444-4-4-4-4-4-4440000000000000002-22-2-22-22000000000000000000000000
χ404444-4-4-4-4-4-444000000000000000-22-222-22-2000000000000000000000000
χ4144-4-444-4-4000040000000-40000000000000022−2222−2200000000000000000000
χ4244-4-444-4-4000040000000-400000000000000−2222−222200000000000000000000
χ4344-4-444-4-40000-4000000040000000000000000002i2−2i22i2−2i20000000000000000
χ4444-4-444-4-40000-400000004000000000000000000−2i22i2−2i22i20000000000000000
χ454-44-44-4-444-44-4000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ464-44-44-4-444-44-400000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ474-44-44-4-44-44-44000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ484-44-44-4-44-44-4400000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ494-44-4-444-44-4-44000000000000000000000000000000000000000002i−2i2i−2i00
χ504-44-4-444-44-4-4400000000000000000000000000000000000000000−2i2i−2i2i00
χ514-44-4-444-4-444-4000000000000000000000000000000000000000002i−2i−2i2i00
χ524-44-4-444-4-444-400000000000000000000000000000000000000000−2i2i2i−2i00
χ534-4-444-44-4000004i−4i0−4i4i-44000000000000000000000000000000000000000
χ544-4-444-44-400000−4i4i04i−4i-44000000000000000000000000000000000000000
χ554-4-44-44-440000000400000-4000002i2−2i2−2i22i20000000000000000000000000000
χ564-4-44-44-440000000400000-400000−2i22i22i2−2i20000000000000000000000000000
χ574-4-44-44-440000000-400000400000000022−22−2222000000000000000000000000
χ584-4-44-44-440000000-4000004000000000−222222−22000000000000000000000000
χ5988-8-8-8-888000000000000000000000000000000000000000000000000000

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