Finite Group Databasebeta

← Group #6446913

Character table — Group #6446913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444444444444444888888882224444444448888442222222244444444444444444488888888222444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-1-111-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-111111111-1-1-111-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-11111111111111-1-1-1-11-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-11111111111111-1-1-1-11-1-1-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-111-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-111-1-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1
χ911111111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-111-1-11-1-1-1-11111-1-11-111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-111-1-11-1-1-1-11111-1-11-1
χ1011111111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-111-1-11-1-111-1-1-1-111-1111111111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-111-1-11-1-111-1-1-1-111-11
χ1111111111-1-1-1-11111-1-11111-1-1111111-1-1-1-11-1-1-1-1-111-1-111-1-111-1111111111-1-1-1-11111-1-11111-1-1111111-1-1-1-11-1-1-1-1-111-1-111-1-111-11
χ1211111111-1-1-1-11111-1-11111-1-111-1-1-1-111111-1-1-1-1-11111-1-111-1-11-111111111-1-1-1-11111-1-11111-1-111-1-1-1-111111-1-1-1-1-11111-1-111-1-11-1
χ1311111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111111-1-111-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111111-1-111-1-1-11
χ1411111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-111111-1-111-1-1111-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-111111-1-111-1-1111-1
χ1511111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-111-1-1-1-1111-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-111-1-1-1-1111-1
χ1611111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-11111-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-11111-1-1-11
χ17222222222222-2-2-2-2-2-20000222200000000-20000-2000000000000222222222222-2-2-2-2-2-20000222200000000-20000-2000000000000
χ18222222222222-2-2-2-2-2-20000-2-2-2-200000000200002000000000000222222222222-2-2-2-2-2-20000-2-2-2-200000000200002000000000000
χ1922222222-2-2-2-2-2-2-2-222000022-2-20000000020000-200000000000022222222-2-2-2-2-2-2-2-222000022-2-20000000020000-2000000000000
χ2022222222-2-2-2-2-2-2-2-2220000-2-22200000000-20000200000000000022222222-2-2-2-2-2-2-2-2220000-2-22200000000-200002000000000000
χ21222-2-2-2-222i2i−2i−2i2-2-222i−2i2i2i−2i−2i0000000000000002-20000000000000222-2-2-2-222i2i−2i−2i2-2-222i−2i2i2i−2i−2i0000000000000002-20000000000000
χ22222-2-2-2-222i2i−2i−2i2-2-222i−2i−2i−2i2i2i000000000000000-220000000000000222-2-2-2-222i2i−2i−2i2-2-222i−2i−2i−2i2i2i000000000000000-220000000000000
χ23222-2-2-2-222i2i−2i−2i-222-2−2i2i000000000000000002-20002i−2i0000000000222-2-2-2-222i2i−2i−2i-222-2−2i2i000000000000000002-20002i−2i0000000000
χ24222-2-2-2-222i2i−2i−2i-222-2−2i2i00000000000000000-22000−2i2i0000000000222-2-2-2-222i2i−2i−2i-222-2−2i2i00000000000000000-22000−2i2i0000000000
χ25222-2-2-2-22−2i−2i2i2i2-2-22−2i2i2i2i−2i−2i000000000000000-220000000000000222-2-2-2-22−2i−2i2i2i2-2-22−2i2i2i2i−2i−2i000000000000000-220000000000000
χ26222-2-2-2-22−2i−2i2i2i2-2-22−2i2i−2i−2i2i2i0000000000000002-20000000000000222-2-2-2-22−2i−2i2i2i2-2-22−2i2i−2i−2i2i2i0000000000000002-20000000000000
χ27222-2-2-2-22−2i−2i2i2i-222-22i−2i000000000000000002-2000−2i2i0000000000222-2-2-2-22−2i−2i2i2i-222-22i−2i000000000000000002-2000−2i2i0000000000
χ28222-2-2-2-22−2i−2i2i2i-222-22i−2i00000000000000000-220002i−2i0000000000222-2-2-2-22−2i−2i2i2i-222-22i−2i00000000000000000-220002i−2i0000000000
χ2922-222-2-2-22-22-200000000002i−2i2i−2i22−2−222−2−2000000000000i2−i2i2−i20022-222-2-2-22-22-200000000002i−2i2i−2i22−2−222−2−2000000000000i2−i2i2−i200
χ3022-222-2-2-22-22-200000000002i−2i2i−2i−2−222−2−222000000000000−i2i2−i2i20022-222-2-2-22-22-200000000002i−2i2i−2i−2−222−2−222000000000000−i2i2−i2i200
χ3122-222-2-2-22-22-20000000000−2i2i−2i2i22−2−222−2−2000000000000−i2i2−i2i20022-222-2-2-22-22-20000000000−2i2i−2i2i22−2−222−2−2000000000000−i2i2−i2i200
χ3222-222-2-2-22-22-20000000000−2i2i−2i2i−2−222−2−222000000000000i2−i2i2−i20022-222-2-2-22-22-20000000000−2i2i−2i2i−2−222−2−222000000000000i2−i2i2−i200
χ3322-222-2-2-2-22-2200000000002i−2i−2i2i22−2−2−2−222000000000000i2−i2−i2i20022-222-2-2-2-22-2200000000002i−2i−2i2i22−2−2−2−222000000000000i2−i2−i2i200
χ3422-222-2-2-2-22-2200000000002i−2i−2i2i−2−22222−2−2000000000000−i2i2i2−i20022-222-2-2-2-22-2200000000002i−2i−2i2i−2−22222−2−2000000000000−i2i2i2−i200
χ3522-222-2-2-2-22-220000000000−2i2i2i−2i22−2−2−2−222000000000000−i2i2i2−i20022-222-2-2-2-22-220000000000−2i2i2i−2i22−2−2−2−222000000000000−i2i2i2−i200
χ3622-222-2-2-2-22-220000000000−2i2i2i−2i−2−22222−2−2000000000000i2−i2−i2i20022-222-2-2-2-22-220000000000−2i2i2i−2i−2−22222−2−2000000000000i2−i2−i2i200
χ372-2-22-22-22000022-2-2002i−2i2i−2i00002i−2i2i−2i000000000000002-20000002-2-22-22-22000022-2-2002i−2i2i−2i00002i−2i2i−2i000000000000002-2000000
χ382-2-22-22-22000022-2-2002i−2i2i−2i0000−2i2i−2i2i00000000000000-220000002-2-22-22-22000022-2-2002i−2i2i−2i0000−2i2i−2i2i00000000000000-22000000
χ392-2-22-22-22000022-2-200−2i2i−2i2i00002i−2i2i−2i00000000000000-220000002-2-22-22-22000022-2-200−2i2i−2i2i00002i−2i2i−2i00000000000000-22000000
χ402-2-22-22-22000022-2-200−2i2i−2i2i0000−2i2i−2i2i000000000000002-20000002-2-22-22-22000022-2-200−2i2i−2i2i0000−2i2i−2i2i000000000000002-2000000
χ412-2-2-22-22200002-22-2002-2-22000000002i−2i2i−2i000000002i−2i000000002-2-2-22-22200002-22-2002-2-22000000002i−2i2i−2i000000002i−2i00000000
χ422-2-2-22-22200002-22-2002-2-2200000000−2i2i−2i2i00000000−2i2i000000002-2-2-22-22200002-22-2002-2-2200000000−2i2i−2i2i00000000−2i2i00000000
χ432-2-2-22-22200002-22-200-222-2000000002i−2i2i−2i00000000−2i2i000000002-2-2-22-22200002-22-200-222-2000000002i−2i2i−2i00000000−2i2i00000000
χ442-2-2-22-22200002-22-200-222-200000000−2i2i−2i2i000000002i−2i000000002-2-2-22-22200002-22-200-222-200000000−2i2i−2i2i000000002i−2i00000000
χ4544-4-4-444-44i−4i−4i4i000000000000000000000000000000000000000044-4-4-444-44i−4i−4i4i0000000000000000000000000000000000000000
χ4644-4-4-444-4−4i4i4i−4i000000000000000000000000000000000000000044-4-4-444-4−4i4i4i−4i0000000000000000000000000000000000000000
χ474-444-4-44-40000000000000000002i2−2i2−2i22i200000000000000000000004-444-4-44-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ484-444-4-44-4000000000000000000−2i22i22i2−2i200000000000000000000004-444-4-44-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ494-44-444-4-400000000000000000000002i2−2i2−2i22i20000000000000000004-44-444-4-400000000000000000000002i2−2i2−2i22i2000000000000000000
χ504-44-444-4-40000000000000000000000−2i22i22i2−2i20000000000000000004-44-444-4-40000000000000000000000−2i22i22i2−2i2000000000000000000
χ514-4-44-44-440000-4-4440000000000000000000000000000000000004-4-44-44-440000-4-444000000000000000000000000000000000000
χ524-4-4-44-4440000-44-440000000000000000000000000000000000004-4-4-44-4440000-44-44000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111
χ551111111111111111111111-1-1-1-111111111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1111111
χ561111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-11111111-1-1-1-1-1-1
χ57111111111111111111-1-1-1-11111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-111
χ58111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11111-111-1-1-1-11111-1-1
χ59111111111111111111-1-1-1-1-1-1-1-111111111-111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-111111111-1-1
χ60111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-111
χ6111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-111-1-11-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-111-11111-1-1-1-111-11
χ6211111111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-111-1-11-1-111-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11-1-111-111-1-11111-1-11-1
χ6311111111-1-1-1-11111-1-11111-1-1111111-1-1-1-11-1-1-1-1-111-1-111-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-111111-1-111-1-111-1-11-1
χ6411111111-1-1-1-11111-1-11111-1-111-1-1-1-111111-1-1-1-1-11111-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-111111-1-1-1-111-1-111-11
χ6511111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111111-1-111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111111-1-1-1-1-1-1-111-1-1111-1
χ6611111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1111-1-1-1-1-111-1-111-1-1-11
χ6711111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1111-1-11111-1-1-11
χ6811111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-11111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1
χ69222222222222-2-2-2-2-2-20000222200000000-20000-2000000000000-2-2-2-2-2-2-2-2-2-2-2-22222220000-2-2-2-200000000200002000000000000
χ70222222222222-2-2-2-2-2-20000-2-2-2-200000000200002000000000000-2-2-2-2-2-2-2-2-2-2-2-22222220000222200000000-20000-2000000000000
χ7122222222-2-2-2-2-2-2-2-222000022-2-20000000020000-2000000000000-2-2-2-2-2-2-2-222222222-2-20000-2-22200000000-200002000000000000
χ7222222222-2-2-2-2-2-2-2-2220000-2-22200000000-200002000000000000-2-2-2-2-2-2-2-222222222-2-2000022-2-20000000020000-2000000000000
χ73222-2-2-2-222i2i−2i−2i2-2-222i−2i2i2i−2i−2i0000000000000002-20000000000000-2-2-22222-2−2i−2i2i2i-222-2−2i2i−2i−2i2i2i000000000000000-220000000000000
χ74222-2-2-2-222i2i−2i−2i2-2-222i−2i−2i−2i2i2i000000000000000-220000000000000-2-2-22222-2−2i−2i2i2i-222-2−2i2i2i2i−2i−2i0000000000000002-20000000000000
χ75222-2-2-2-222i2i−2i−2i-222-2−2i2i000000000000000002-20002i−2i0000000000-2-2-22222-2−2i−2i2i2i2-2-222i−2i00000000000000000-22000−2i2i0000000000
χ76222-2-2-2-222i2i−2i−2i-222-2−2i2i00000000000000000-22000−2i2i0000000000-2-2-22222-2−2i−2i2i2i2-2-222i−2i000000000000000002-20002i−2i0000000000
χ77222-2-2-2-22−2i−2i2i2i2-2-22−2i2i2i2i−2i−2i000000000000000-220000000000000-2-2-22222-22i2i−2i−2i-222-22i−2i−2i−2i2i2i0000000000000002-20000000000000
χ78222-2-2-2-22−2i−2i2i2i2-2-22−2i2i−2i−2i2i2i0000000000000002-20000000000000-2-2-22222-22i2i−2i−2i-222-22i−2i2i2i−2i−2i000000000000000-220000000000000
χ79222-2-2-2-22−2i−2i2i2i-222-22i−2i000000000000000002-2000−2i2i0000000000-2-2-22222-22i2i−2i−2i2-2-22−2i2i00000000000000000-220002i−2i0000000000
χ80222-2-2-2-22−2i−2i2i2i-222-22i−2i00000000000000000-220002i−2i0000000000-2-2-22222-22i2i−2i−2i2-2-22−2i2i000000000000000002-2000−2i2i0000000000
χ8122-222-2-2-22-22-200000000002i−2i2i−2i22−2−222−2−2000000000000i2−i2i2−i200-2-22-2-2222-22-220000000000−2i2i−2i2i−2−222−2−222000000000000−i2i2−i2i200
χ8222-222-2-2-22-22-200000000002i−2i2i−2i−2−222−2−222000000000000−i2i2−i2i200-2-22-2-2222-22-220000000000−2i2i−2i2i22−2−222−2−2000000000000i2−i2i2−i200
χ8322-222-2-2-22-22-20000000000−2i2i−2i2i22−2−222−2−2000000000000−i2i2−i2i200-2-22-2-2222-22-2200000000002i−2i2i−2i−2−222−2−222000000000000i2−i2i2−i200
χ8422-222-2-2-22-22-20000000000−2i2i−2i2i−2−222−2−222000000000000i2−i2i2−i200-2-22-2-2222-22-2200000000002i−2i2i−2i22−2−222−2−2000000000000−i2i2−i2i200
χ8522-222-2-2-2-22-2200000000002i−2i−2i2i22−2−2−2−222000000000000i2−i2−i2i200-2-22-2-22222-22-20000000000−2i2i2i−2i−2−22222−2−2000000000000−i2i2i2−i200
χ8622-222-2-2-2-22-2200000000002i−2i−2i2i−2−22222−2−2000000000000−i2i2i2−i200-2-22-2-22222-22-20000000000−2i2i2i−2i22−2−2−2−222000000000000i2−i2−i2i200
χ8722-222-2-2-2-22-220000000000−2i2i2i−2i22−2−2−2−222000000000000−i2i2i2−i200-2-22-2-22222-22-200000000002i−2i−2i2i−2−22222−2−2000000000000i2−i2−i2i200
χ8822-222-2-2-2-22-220000000000−2i2i2i−2i−2−22222−2−2000000000000i2−i2−i2i200-2-22-2-22222-22-200000000002i−2i−2i2i22−2−2−2−222000000000000−i2i2i2−i200
χ892-2-22-22-22000022-2-2002i−2i2i−2i00002i−2i2i−2i000000000000002-2000000-222-22-22-20000-2-22200−2i2i−2i2i0000−2i2i−2i2i00000000000000-22000000
χ902-2-22-22-22000022-2-2002i−2i2i−2i0000−2i2i−2i2i00000000000000-22000000-222-22-22-20000-2-22200−2i2i−2i2i00002i−2i2i−2i000000000000002-2000000
χ912-2-22-22-22000022-2-200−2i2i−2i2i00002i−2i2i−2i00000000000000-22000000-222-22-22-20000-2-222002i−2i2i−2i0000−2i2i−2i2i000000000000002-2000000
χ922-2-22-22-22000022-2-200−2i2i−2i2i0000−2i2i−2i2i000000000000002-2000000-222-22-22-20000-2-222002i−2i2i−2i00002i−2i2i−2i00000000000000-22000000
χ932-2-2-22-22200002-22-2002-2-22000000002i−2i2i−2i000000002i−2i00000000-2222-22-2-20000-22-2200-222-200000000−2i2i−2i2i00000000−2i2i00000000
χ942-2-2-22-22200002-22-2002-2-2200000000−2i2i−2i2i00000000−2i2i00000000-2222-22-2-20000-22-2200-222-2000000002i−2i2i−2i000000002i−2i00000000
χ952-2-2-22-22200002-22-200-222-2000000002i−2i2i−2i00000000−2i2i00000000-2222-22-2-20000-22-22002-2-2200000000−2i2i−2i2i000000002i−2i00000000
χ962-2-2-22-22200002-22-200-222-200000000−2i2i−2i2i000000002i−2i00000000-2222-22-2-20000-22-22002-2-22000000002i−2i2i−2i00000000−2i2i00000000
χ9744-4-4-444-44i−4i−4i4i0000000000000000000000000000000000000000-4-4444-4-44−4i4i4i−4i0000000000000000000000000000000000000000
χ9844-4-4-444-4−4i4i4i−4i0000000000000000000000000000000000000000-4-4444-4-444i−4i−4i4i0000000000000000000000000000000000000000
χ994-444-4-44-40000000000000000002i2−2i2−2i22i20000000000000000000000-44-4-444-44000000000000000000−2i22i22i2−2i20000000000000000000000
χ1004-444-4-44-4000000000000000000−2i22i22i2−2i20000000000000000000000-44-4-444-440000000000000000002i2−2i2−2i22i20000000000000000000000
χ1014-44-444-4-400000000000000000000002i2−2i2−2i22i2000000000000000000-44-44-4-4440000000000000000000000−2i22i22i2−2i2000000000000000000
χ1024-44-444-4-40000000000000000000000−2i22i22i2−2i2000000000000000000-44-44-4-44400000000000000000000002i2−2i2−2i22i2000000000000000000
χ1034-4-44-44-440000-4-444000000000000000000000000000000000000-444-44-44-4000044-4-4000000000000000000000000000000000000
χ1044-4-4-44-4440000-44-44000000000000000000000000000000000000-4444-44-4-400004-44-4000000000000000000000000000000000000

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