Finite Group Databasebeta

← Group #435994

Character table — Group #435994

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444444444444444888888888888161616161616161616161616161616161616
order12222222222244444444444444448888888888888888224444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-11111-111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-11111111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-111-111-1-11111-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-111-1-111
χ911111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-111-1-1-1-1-1-111
χ1011111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1
χ1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-11111-1-111
χ1211111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1111111111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-11-1-1-1111-1-1-1-111-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1111111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111-1-111111-1-1-1-1-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-111-1-1-111-1-11111
χ1722222222-2-2-2-222-22-2-2-22000000002222-2-2-2-20000000022-2-20000000020-2000000000000000
χ1822222222-2-2-2-222-22-2-2-22000000002222-2-2-2-200000000-2-22200000000-202000000000000000
χ1922222222-2-2-2-222-22-2-2-2200000000-2-2-2-222220000000022-2-200000000-202000000000000000
χ2022222222-2-2-2-222-22-2-2-2200000000-2-2-2-2222200000000-2-2220000000020-2000000000000000
χ2122222222-2-2-2-2-2-22-2222-200000000000000002222-2-2-2-2000022-2-200000200000-20000000000
χ2222222222-2-2-2-2-2-22-2222-200000000000000002222-2-2-2-20000-2-22200000-20000020000000000
χ2322222222-2-2-2-2-2-22-2222-20000000000000000-2-2-2-22222000022-2-200000-20000020000000000
χ2422222222-2-2-2-2-2-22-2222-20000000000000000-2-2-2-222220000-2-22200000200000-20000000000
χ25222-22-2-2-222-2-222-2-222-2-2000000000000000022-2-222-2-22-22-2000000000000000000002-20000
χ26222-22-2-2-222-2-222-2-222-2-2000000000000000022-2-222-2-2-22-2200000000000000000000-220000
χ27222-22-2-2-222-2-222-2-222-2-20000000000000000-2-222-2-2222-22-200000000000000000000-220000
χ28222-22-2-2-222-2-222-2-222-2-20000000000000000-2-222-2-222-22-22000000000000000000002-20000
χ29222-22-2-2-2-2-222222-2-2-22-22222-2-2-2-200000000000000002-2-220000000000000000002-2000000
χ30222-22-2-2-2-2-222222-2-2-22-22222-2-2-2-20000000000000000-222-2000000000000000000-22000000
χ31222-22-2-2-2-2-222222-2-2-22-2-2-2-2-2222200000000000000002-2-22000000000000000000-22000000
χ32222-22-2-2-2-2-222222-2-2-22-2-2-2-2-222220000000000000000-222-20000000000000000002-2000000
χ33222-22-2-2-2-2-222-2-2-2222-22000000000000000022-2-2-2-222000000002i2i−2i−2i000002i−2i00000000000
χ34222-22-2-2-2-2-222-2-2-2222-22000000000000000022-2-2-2-22200000000−2i−2i2i2i00000−2i2i00000000000
χ35222-22-2-2-2-2-222-2-2-2222-220000000000000000-2-22222-2-2000000002i2i−2i−2i00000−2i2i00000000000
χ36222-22-2-2-2-2-222-2-2-2222-220000000000000000-2-22222-2-200000000−2i−2i2i2i000002i−2i00000000000
χ372-2-222-22-22-22-22-22-22-2-222i2i−2i−2i2i2i−2i−2i000000000000000000002i−2i2i−2i0000000000000000002-200
χ382-2-222-22-22-22-22-22-22-2-222i2i−2i−2i2i2i−2i−2i00000000000000000000−2i2i−2i2i000000000000000000-2200
χ392-2-222-22-22-22-22-22-22-2-22−2i−2i2i2i−2i−2i2i2i000000000000000000002i−2i2i−2i000000000000000000-2200
χ402-2-222-22-22-22-22-22-22-2-22−2i−2i2i2i−2i−2i2i2i00000000000000000000−2i2i−2i2i0000000000000000002-200
χ412-2-222-22-22-22-2-22-22-222-20000000022-2-222-2-200000000000000002i−2i2i−2i000000002i−2i00000000
χ422-2-222-22-22-22-2-22-22-222-20000000022-2-222-2-20000000000000000−2i2i−2i2i00000000−2i2i00000000
χ432-2-222-22-22-22-2-22-22-222-200000000-2-222-2-22200000000000000002i−2i2i−2i00000000−2i2i00000000
χ442-2-222-22-22-22-2-22-22-222-200000000-2-222-2-2220000000000000000−2i2i−2i2i000000002i−2i00000000
χ452-2-222-22-2-22-22-22222-2-2-20000000022-2-2-2-2220000000000002i−2i−2i2i000000000000000000002i−2i
χ462-2-222-22-2-22-22-22222-2-2-20000000022-2-2-2-222000000000000−2i2i2i−2i00000000000000000000−2i2i
χ472-2-222-22-2-22-22-22222-2-2-200000000-2-22222-2-20000000000002i−2i−2i2i00000000000000000000−2i2i
χ482-2-222-22-2-22-22-22222-2-2-200000000-2-22222-2-2000000000000−2i2i2i−2i000000000000000000002i−2i
χ492-2-2-222-22-222-22-222-22-2-22i2i−2i−2i−2i−2i2i2i0000000000000000000000002-2-220002i−2i0000000000000
χ502-2-2-222-22-222-22-222-22-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000-222-2000−2i2i0000000000000
χ512-2-2-222-22-222-22-222-22-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000002-2-22000−2i2i0000000000000
χ522-2-2-222-22-222-22-222-22-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000-222-20002i−2i0000000000000
χ53444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000
χ54444-44-4-4-444-4-4-4-444-4-444000000000000000000000000000000000000000000000000000000
χ5544-44-44-4-40000000000002-22-22-22-222−2222−22000022−2222−220000000000000000000000000000000000
χ5644-44-44-4-40000000000002-22-22-22-2−2222−22220000−2222−22220000000000000000000000000000000000
χ5744-44-44-4-4000000000000-22-22-22-2222−2222−220000−2222−22220000000000000000000000000000000000
χ5844-44-44-4-4000000000000-22-22-22-22−2222−2222000022−2222−220000000000000000000000000000000000
χ5944-4-4-4-4440000000000002-22-2-22-22000022−2222−2222−22−22220000000000000000000000000000000000
χ6044-4-4-4-4440000000000002-22-2-22-220000−2222−2222−222222−220000000000000000000000000000000000
χ6144-4-4-4-444000000000000-22-222-22-2000022−2222−22−222222−220000000000000000000000000000000000
χ6244-4-4-4-444000000000000-22-222-22-20000−2222−222222−22−22220000000000000000000000000000000000
χ634-444-4-4-440000000000002i−2i−2i2i2i−2i−2i2i22−22−2222000000002i2−2i22i2−2i2000000000000000000000000000000
χ644-444-4-4-440000000000002i−2i−2i2i2i−2i−2i2i−222222−2200000000−2i22i2−2i22i2000000000000000000000000000000
χ654-444-4-4-44000000000000−2i2i2i−2i−2i2i2i−2i22−22−222200000000−2i22i2−2i22i2000000000000000000000000000000
χ664-444-4-4-44000000000000−2i2i2i−2i−2i2i2i−2i−222222−22000000002i2−2i22i2−2i2000000000000000000000000000000
χ674-44-4-444-40000000000002i−2i−2i2i−2i2i2i−2i000022−22−22220000−2i22i22i2−2i2000000000000000000000000000000
χ684-44-4-444-40000000000002i−2i−2i2i−2i2i2i−2i0000−222222−2200002i2−2i2−2i22i2000000000000000000000000000000
χ694-44-4-444-4000000000000−2i2i2i−2i2i−2i−2i2i000022−22−222200002i2−2i2−2i22i2000000000000000000000000000000
χ704-44-4-444-4000000000000−2i2i2i−2i2i−2i−2i2i0000−222222−220000−2i22i22i2−2i2000000000000000000000000000000
χ714-4-444-44-4-44-444-4-4-4-4444000000000000000000000000000000000000000000000000000000
χ724-4-4-444-444-4-444-4-444-44-4000000000000000000000000000000000000000000000000000000
χ734-4-4-444-444-4-44-444-4-44-44000000000000000000000000000000000000000000000000000000
χ744-4-4-444-44-444-4-44-4-44-444000000000000000000000000000000000000000000000000000000

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