Finite Group Databasebeta

← Group #178921

Character table — Group #178921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222224444442244444244444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1111-1-1-111-11-1-1-11-11111-1-1-1-11111-1-1
χ61111111111111111-1-1111-1-1-111-11-1-1-11-1-1-1-1-11111-1-1-1-111
χ71111111111111111-1-1111-1-1-1-1-11-111-1-111111-1-1-1-1-1-1-1-111
χ81111111111111111-1-1111-1-1-1-1-11-111-1-11-1-1-1-111111111-1-1
χ911111111-1-111111111-1-1-1-1-1-11-1-11111-1-111-1-111-1-111-1-11-1
χ1011111111-1-111111111-1-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-111-11
χ1111111111-1-111111111-1-1-1-1-1-1-111-1-1-111111-1-111-1-1-1-111-11
χ1211111111-1-111111111-1-1-1-1-1-1-111-1-1-1111-1-111-1-11111-1-11-1
χ1311111111-1-1111111-1-1-1-1-11111-111-1-1-1-1111-1-1-1-11111-1-1-11
χ1411111111-1-1111111-1-1-1-1-11111-111-1-1-1-11-1-11111-1-1-1-1111-1
χ1511111111-1-1111111-1-1-1-1-1111-11-1-111-11-111-1-1-1-111-1-1111-1
χ1611111111-1-1111111-1-1-1-1-1111-11-1-111-11-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-22-2002-2-2000220-2000-2000000000000000
χ1822222222222-2-2-22-2002-2-2000-2-2020002000000000000000
χ192222222222-22-2-2-2222-2-22-2-22000000-20000000000000000
χ202222222222-22-2-2-22-2-2-2-2222-200000020000000000000000
χ212222222222-2-222-2-200-22-200000202-200-200000000000000
χ222222222222-2-222-2-200-22-200000-20-2200200000000000000
χ2322222222-2-22-2-2-22-200-2220002-20-20002000000000000000
χ2422222222-2-22-2-2-22-200-222000-2202000-2000000000000000
χ2522222222-2-2-22-2-2-222222-222-2000000-20000000000000000
χ2622222222-2-2-22-2-2-22-2-222-2-2-2200000020000000000000000
χ2722222222-2-2-2-222-2-2002-220000020-2200-200000000000000
χ2822222222-2-2-2-222-2-2002-2200000-202-200200000000000000
χ2944-44-44-4-44-40000000000000000000000000002i−2i2i−2i000000
χ3044-44-44-4-44-4000000000000000000000000000−2i2i−2i2i000000
χ3144-44-44-4-4-440000000000000000000000000002i−2i−2i2i000000
χ3244-44-44-4-4-44000000000000000000000000000−2i2i2i−2i000000
χ334-444-4-4-44004000-40000000000000000002i2−2i2000000000000
χ344-444-4-4-44004000-4000000000000000000−2i22i2000000000000
χ354-444-4-4-4400-400040000000000000000000022−220000000000
χ364-444-4-4-4400-4000400000000000000000000−22220000000000
χ374-44-4-444-40004000-4000004i−4i000000000000000000000000
χ384-44-4-444-40004000-400000−4i4i000000000000000000000000
χ394-44-4-444-4000-400044-400000000000000000000000000000
χ404-44-4-444-4000-40004-4400000000000000000000000000000
χ414-4-4-444-4400004-40000000000000000000000000000022−2200
χ424-4-4-444-4400004-400000000000000000000000000000−222200
χ434-4-4-444-440000-4400000000000000000000000000022−220000
χ444-4-4-444-440000-44000000000000000000000000000−22220000
χ45888-88-8-8-8000000000000000000000000000000000000000
χ4688-8-8-8-888000000000000000000000000000000000000000
χ478-8-888-88-8000000000000000000000000000000000000000

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