Finite Group Databasebeta

← Group #295122

Character table — Group #295122

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111111112222444444444488888888888888888888816161616161616161616161616163232
order12222222444444444444444444488888888888888882444444444888844
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-11-1-1-1-1-1-11-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1111111
χ511111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-11-1-1-111111-1-1
χ611111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-1-1-11-1-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-111-1-11111-1-1
χ911111111-1-1-1-1-1-11-1-111111-111111111-1-1-1-11111-1-1-1-11-1-11-1-11-1-1111-1-11-1
χ1011111111-1-1-1-1-1-11-1-111111-111111111-1-1-1-11111-1-1-1-1-1-11-111-11-1-1-1-111-11
χ1111111111-1-1-1-1-1-11-1-111111-11111-1-1-1-11111-1-1-1-111111-1-11-1-11-1-11-1-111-11
χ1211111111-1-1-1-1-1-11-1-111111-11111-1-1-1-11111-1-1-1-11111-1-11-111-11-1-111-1-11-1
χ1311111111-1-1-1-1-1-11-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-111111-1-1-11
χ1411111111-1-1-1-1-1-11-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-111-11-1-1-1111-1
χ1511111111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-1-1111-1-1111-1
χ1611111111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-111-11-111-1-1-11
χ1722222222222222-2-2-2-2-222-2-20000000000000000000020200-2000-2000000
χ1822222222222222-2-2-2-2-222-2-200000000000000000000-20-20020002000000
χ19222222222222-2-22-2-2-2-2-2-22222-2-200000000000000000-200000020000000
χ20222222222222-2-22-2-2-2-2-2-222-2-222000000000000000002000000-20000000
χ21222222222222-2-2-22222-2-2-2-2000000000000000000000002-20-2200000000
χ22222222222222-2-2-22222-2-2-2-200000000000000000000000-2202-200000000
χ2322222222-2-2-2-222222-2-2-2-22-222-2-2000000000000000002000000-20000000
χ2422222222-2-2-2-222222-2-2-2-22-2-2-22200000000000000000-200000020000000
χ2522222222-2-2-2-222-2-2-222-2-2-2200000000000000000000000220-2-200000000
χ2622222222-2-2-2-222-2-2-222-2-2-2200000000000000000000000-2-202200000000
χ2722222222-2-2-2-2-2-2-222-2-222-220000000000000000000020-2002000-2000000
χ2822222222-2-2-2-2-2-2-222-2-222-2200000000000000000000-20200-20002000000
χ292-2-22-22-220000002002-22-2-202i−2i2i−2i00002i2i−2i−2i000022-2-20000000000000000
χ302-2-22-22-220000002002-22-2-202i−2i2i−2i0000−2i−2i2i2i0000-2-2220000000000000000
χ312-2-22-22-220000002002-22-2-20−2i2i−2i2i00002i2i−2i−2i0000-2-2220000000000000000
χ322-2-22-22-220000002002-22-2-20−2i2i−2i2i0000−2i−2i2i2i000022-2-20000000000000000
χ332-2-22-22-22000000200-22-22-202i−2i−2i2i2i2i−2i−2i000022-2-200000000000000000000
χ342-2-22-22-22000000200-22-22-202i−2i−2i2i−2i−2i2i2i0000-2-22200000000000000000000
χ352-2-22-22-22000000200-22-22-20−2i2i2i−2i2i2i−2i−2i0000-2-22200000000000000000000
χ362-2-22-22-22000000200-22-22-20−2i2i2i−2i−2i−2i2i2i000022-2-200000000000000000000
χ374444-4-4-4-400004-400000000000002-22-22-22-2000000000000000000000000
χ384444-4-4-4-400004-40000000000000-22-22-22-22000000000000000000000000
χ394444-4-4-4-40000-4400000000000002-22-2-22-22000000000000000000000000
χ404444-4-4-4-40000-440000000000000-22-222-22-2000000000000000000000000
χ4144-4-4-4-4444i4i−4i−4i000000000000000000000002i−2i2i−2i2-22-20000000000000000
χ4244-4-4-4-4444i4i−4i−4i00000000000000000000000−2i2i−2i2i-22-220000000000000000
χ4344-4-4-4-444−4i−4i4i4i000000000000000000000002i−2i2i−2i-22-220000000000000000
χ4444-4-4-4-444−4i−4i4i4i00000000000000000000000−2i2i−2i2i2-22-20000000000000000
χ454-44-44-4-4400000004i−4i0000000000000000002i−2i−2i2i2-2-220000000000000000
χ464-44-44-4-4400000004i−4i000000000000000000−2i2i2i−2i-222-20000000000000000
χ474-44-44-4-440000000−4i4i0000000000000000002i−2i−2i2i-222-20000000000000000
χ484-44-44-4-440000000−4i4i000000000000000000−2i2i2i−2i2-2-220000000000000000
χ494-44-4-444-44i−4i4i−4i000000000000000000000000000000000000000002-22i−2i00
χ504-44-4-444-44i−4i4i−4i00000000000000000000000000000000000000000-22−2i2i00
χ514-44-4-444-4−4i4i−4i4i000000000000000000000000000000000000000002-2−2i2i00
χ524-44-4-444-4−4i4i−4i4i00000000000000000000000000000000000000000-222i−2i00
χ534-4-444-44-44-4-440000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ544-4-444-44-44-4-44000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ554-4-444-44-4-444-40000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ564-4-444-44-4-444-4000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ574-4-44-44-44000000-4004-4-4440000000000000000000000000000000000000
χ584-4-44-44-44000000-400-444-440000000000000000000000000000000000000
χ5988-8-888-8-8000000000000000000000000000000000000000000000000000

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