Finite Group Databasebeta

← Group #6450721

Character table — Group #6450721

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444442244444444888888884444444444448888442222222244444444224444444488888888444444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111
χ51111111111111111-1-1-1-111111111111111-111-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111111111-111-11111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ71111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1
χ911111111-1-1-1-1111111-1-1-1-111111111-1-1-1-11-1-1-1-1-111-1-111-1-111-1111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-11-1-1-1-1-111-1-111-1-111-11
χ1011111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-11111-1-11-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-11111-1-11-1
χ1111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-111-1-1-1-1111-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-111-1-1-1-1111-1
χ1211111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-111-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-111-1-1-11
χ1311111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-11-1-11111-1-111-1-11-111111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-11-1-11111-1-111-1-11-1
χ1411111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1111-1-1-1-111-1-1-1-111-1111111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1111-1-1-1-111-1-1-1-111-11
χ1511111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-1-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-1-1-11
χ1611111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111111-1-111-1-1111-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111111-1-111-1-1111-1
χ17222222222222-2-2-2-22222-2-2000000000000-200-200000000000000222222222222-2-2-2-22222-2-2000000000000-200-200000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2000000000000200200000000000000222222222222-2-2-2-2-2-2-2-2-2-2000000000000200200000000000000
χ1922222222-2-2-2-2-2-2-2-222-2-222000000000000-20020000000000000022222222-2-2-2-2-2-2-2-222-2-222000000000000-200200000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222000000000000200-20000000000000022222222-2-2-2-2-2-2-2-2-2-22222000000000000200-200000000000000
χ21222-2-2-22-20000-22-220000002i2i−2i−2i22-2-200000000002i−2i0000000000222-2-2-22-20000-22-220000002i2i−2i−2i22-2-200000000002i−2i0000000000
χ22222-2-2-22-20000-22-220000002i2i−2i−2i-2-2220000000000−2i2i0000000000222-2-2-22-20000-22-220000002i2i−2i−2i-2-2220000000000−2i2i0000000000
χ23222-2-2-22-20000-22-22000000−2i−2i2i2i22-2-20000000000−2i2i0000000000222-2-2-22-20000-22-22000000−2i−2i2i2i22-2-20000000000−2i2i0000000000
χ24222-2-2-22-20000-22-22000000−2i−2i2i2i-2-22200000000002i−2i0000000000222-2-2-22-20000-22-22000000−2i−2i2i2i-2-22200000000002i−2i0000000000
χ252-222-2-2-222i2i−2i−2i2-2-2200002i−2i2-22-20000000000002i−2i0000000000002-222-2-2-222i2i−2i−2i2-2-2200002i−2i2-22-20000000000002i−2i000000000000
χ262-222-2-2-222i2i−2i−2i2-2-2200002i−2i-22-22000000000000−2i2i0000000000002-222-2-2-222i2i−2i−2i2-2-2200002i−2i-22-22000000000000−2i2i000000000000
χ272-222-2-2-222i2i−2i−2i-222-20000−2i2i000000000000000000002i−2i2-20000002-222-2-2-222i2i−2i−2i-222-20000−2i2i000000000000000000002i−2i2-2000000
χ282-222-2-2-222i2i−2i−2i-222-20000−2i2i00000000000000000000−2i2i-220000002-222-2-2-222i2i−2i−2i-222-20000−2i2i00000000000000000000−2i2i-22000000
χ292-222-2-2-22−2i−2i2i2i2-2-220000−2i2i2-22-2000000000000−2i2i0000000000002-222-2-2-22−2i−2i2i2i2-2-220000−2i2i2-22-2000000000000−2i2i000000000000
χ302-222-2-2-22−2i−2i2i2i2-2-220000−2i2i-22-220000000000002i−2i0000000000002-222-2-2-22−2i−2i2i2i2-2-220000−2i2i-22-220000000000002i−2i000000000000
χ312-222-2-2-22−2i−2i2i2i-222-200002i−2i000000000000000000002i−2i-220000002-222-2-2-22−2i−2i2i2i-222-200002i−2i000000000000000000002i−2i-22000000
χ322-222-2-2-22−2i−2i2i2i-222-200002i−2i00000000000000000000−2i2i2-20000002-222-2-2-22−2i−2i2i2i-222-200002i−2i00000000000000000000−2i2i2-2000000
χ332-22-222-2-20000-2-2220000002i−2i−2i2i000022-2-202i−2i0000000000000002-22-222-2-20000-2-2220000002i−2i−2i2i000022-2-202i−2i000000000000000
χ342-22-222-2-20000-2-2220000002i−2i−2i2i0000-2-2220−2i2i0000000000000002-22-222-2-20000-2-2220000002i−2i−2i2i0000-2-2220−2i2i000000000000000
χ352-22-222-2-20000-2-222000000−2i2i2i−2i000022-2-20−2i2i0000000000000002-22-222-2-20000-2-222000000−2i2i2i−2i000022-2-20−2i2i000000000000000
χ362-22-222-2-20000-2-222000000−2i2i2i−2i0000-2-22202i−2i0000000000000002-22-222-2-20000-2-222000000−2i2i2i−2i0000-2-22202i−2i000000000000000
χ372-2-222-22-22i−2i2i−2i00002-22i−2i0000002−22−2i2−i2i2−i2000000000000i2−i22−2002-2-222-22-22i−2i2i−2i00002-22i−2i0000002−22−2i2−i2i2−i2000000000000i2−i22−200
χ382-2-222-22-22i−2i2i−2i00002-22i−2i000000−22−22−i2i2−i2i2000000000000−i2i2−22002-2-222-22-22i−2i2i−2i00002-22i−2i000000−22−22−i2i2−i2i2000000000000−i2i2−2200
χ392-2-222-22-22i−2i2i−2i0000-22−2i2i0000002−22−2i2−i2i2−i2000000000000−i2i2−22002-2-222-22-22i−2i2i−2i0000-22−2i2i0000002−22−2i2−i2i2−i2000000000000−i2i2−2200
χ402-2-222-22-22i−2i2i−2i0000-22−2i2i000000−22−22−i2i2−i2i2000000000000i2−i22−2002-2-222-22-22i−2i2i−2i0000-22−2i2i000000−22−22−i2i2−i2i2000000000000i2−i22−200
χ412-2-222-22-2−2i2i−2i2i00002-2−2i2i0000002−22−2−i2i2−i2i2000000000000−i2i22−2002-2-222-22-2−2i2i−2i2i00002-2−2i2i0000002−22−2−i2i2−i2i2000000000000−i2i22−200
χ422-2-222-22-2−2i2i−2i2i00002-2−2i2i000000−22−22i2−i2i2−i2000000000000i2−i2−22002-2-222-22-2−2i2i−2i2i00002-2−2i2i000000−22−22i2−i2i2−i2000000000000i2−i2−2200
χ432-2-222-22-2−2i2i−2i2i0000-222i−2i0000002−22−2−i2i2−i2i2000000000000i2−i2−22002-2-222-22-2−2i2i−2i2i0000-222i−2i0000002−22−2−i2i2−i2i2000000000000i2−i2−2200
χ442-2-222-22-2−2i2i−2i2i0000-222i−2i000000−22−22i2−i2i2−i2000000000000−i2i22−2002-2-222-22-2−2i2i−2i2i0000-222i−2i000000−22−22i2−i2i2−i2000000000000−i2i22−200
χ45444-4-4-44-400004-44-4000000000000000000000000000000000000444-4-4-44-400004-44-4000000000000000000000000000000000000
χ4644-44-44-4-44-4-44000000000000000000000000000000000000000044-44-44-4-44-4-440000000000000000000000000000000000000000
χ4744-44-44-4-4-444-4000000000000000000000000000000000000000044-44-44-4-4-444-40000000000000000000000000000000000000000
χ4844-4-44-4-4400000000000000000000002i2−2i2−2i22i200000000000000000044-4-44-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ4944-4-44-4-440000000000000000000000−2i22i22i2−2i200000000000000000044-4-44-4-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ504-44-444-4-4000044-4-40000000000000000000000000000000000004-44-444-4-4000044-4-4000000000000000000000000000000000000
χ514-4-4-4-444400000000000000000022−22−222200000000000000000000004-4-4-4-444400000000000000000022−22−22220000000000000000000000
χ524-4-4-4-4444000000000000000000−222222−2200000000000000000000004-4-4-4-4444000000000000000000−222222−220000000000000000000000
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
χ5411111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111-1-1-1-1111111
χ551111111111111111111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111111111-1-1-1-111
χ561111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111111111-1-1
χ571111111111111111-1-1-1-111111111111111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111111111
χ581111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1
χ591111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ601111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111-1-1111-1-1-1-1-1-1-1-1-1-111
χ6111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-11-1-1-1-1-111-1-111-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111111-1-111-1-111-1-11-1
χ6211111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-111-11
χ6311111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-11-1-111-1-11111-1-1-11
χ6411111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1111-1-1-1-1-1-111-1-1111-1
χ6511111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-11-1-11111-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111-111-1-1-1-111-1-111-11
χ6611111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1111-1-1-1-111-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-11111-1-11-1
χ6711111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111111-1-1-1-1-11111-1-1-1-1111-1
χ6811111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1111-1-1-1-1-111-1-111-1-1-11
χ69222222222222-2-2-2-22222-2-2000000000000-200-200000000000000-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222000000000000200200000000000000
χ70222222222222-2-2-2-2-2-2-2-2-2-2000000000000200200000000000000-2-2-2-2-2-2-2-2-2-2-2-22222222222000000000000-200-200000000000000
χ7122222222-2-2-2-2-2-2-2-222-2-222000000000000-200200000000000000-2-2-2-2-2-2-2-222222222-2-222-2-2000000000000200-200000000000000
χ7222222222-2-2-2-2-2-2-2-2-2-22222000000000000200-200000000000000-2-2-2-2-2-2-2-22222222222-2-2-2-2000000000000-200200000000000000
χ73222-2-2-22-20000-22-220000002i2i−2i−2i22-2-200000000002i−2i0000000000-2-2-2222-2200002-22-2000000−2i−2i2i2i-2-2220000000000−2i2i0000000000
χ74222-2-2-22-20000-22-220000002i2i−2i−2i-2-2220000000000−2i2i0000000000-2-2-2222-2200002-22-2000000−2i−2i2i2i22-2-200000000002i−2i0000000000
χ75222-2-2-22-20000-22-22000000−2i−2i2i2i22-2-20000000000−2i2i0000000000-2-2-2222-2200002-22-20000002i2i−2i−2i-2-22200000000002i−2i0000000000
χ76222-2-2-22-20000-22-22000000−2i−2i2i2i-2-22200000000002i−2i0000000000-2-2-2222-2200002-22-20000002i2i−2i−2i22-2-20000000000−2i2i0000000000
χ772-222-2-2-222i2i−2i−2i2-2-2200002i−2i2-22-20000000000002i−2i000000000000-22-2-2222-2−2i−2i2i2i-222-20000−2i2i-22-22000000000000−2i2i000000000000
χ782-222-2-2-222i2i−2i−2i2-2-2200002i−2i-22-22000000000000−2i2i000000000000-22-2-2222-2−2i−2i2i2i-222-20000−2i2i2-22-20000000000002i−2i000000000000
χ792-222-2-2-222i2i−2i−2i-222-20000−2i2i000000000000000000002i−2i2-2000000-22-2-2222-2−2i−2i2i2i2-2-2200002i−2i00000000000000000000−2i2i-22000000
χ802-222-2-2-222i2i−2i−2i-222-20000−2i2i00000000000000000000−2i2i-22000000-22-2-2222-2−2i−2i2i2i2-2-2200002i−2i000000000000000000002i−2i2-2000000
χ812-222-2-2-22−2i−2i2i2i2-2-220000−2i2i2-22-2000000000000−2i2i000000000000-22-2-2222-22i2i−2i−2i-222-200002i−2i-22-220000000000002i−2i000000000000
χ822-222-2-2-22−2i−2i2i2i2-2-220000−2i2i-22-220000000000002i−2i000000000000-22-2-2222-22i2i−2i−2i-222-200002i−2i2-22-2000000000000−2i2i000000000000
χ832-222-2-2-22−2i−2i2i2i-222-200002i−2i000000000000000000002i−2i-22000000-22-2-2222-22i2i−2i−2i2-2-220000−2i2i00000000000000000000−2i2i2-2000000
χ842-222-2-2-22−2i−2i2i2i-222-200002i−2i00000000000000000000−2i2i2-2000000-22-2-2222-22i2i−2i−2i2-2-220000−2i2i000000000000000000002i−2i-22000000
χ852-22-222-2-20000-2-2220000002i−2i−2i2i000022-2-202i−2i000000000000000-22-22-2-222000022-2-2000000−2i2i2i−2i0000-2-2220−2i2i000000000000000
χ862-22-222-2-20000-2-2220000002i−2i−2i2i0000-2-2220−2i2i000000000000000-22-22-2-222000022-2-2000000−2i2i2i−2i000022-2-202i−2i000000000000000
χ872-22-222-2-20000-2-222000000−2i2i2i−2i000022-2-20−2i2i000000000000000-22-22-2-222000022-2-20000002i−2i−2i2i0000-2-22202i−2i000000000000000
χ882-22-222-2-20000-2-222000000−2i2i2i−2i0000-2-22202i−2i000000000000000-22-22-2-222000022-2-20000002i−2i−2i2i000022-2-20−2i2i000000000000000
χ892-2-222-22-22i−2i2i−2i00002-22i−2i0000002−22−2i2−i2i2−i2000000000000i2−i22−200-222-2-22-22−2i2i−2i2i0000-22−2i2i000000−22−22−i2i2−i2i2000000000000−i2i2−2200
χ902-2-222-22-22i−2i2i−2i00002-22i−2i000000−22−22−i2i2−i2i2000000000000−i2i2−2200-222-2-22-22−2i2i−2i2i0000-22−2i2i0000002−22−2i2−i2i2−i2000000000000i2−i22−200
χ912-2-222-22-22i−2i2i−2i0000-22−2i2i0000002−22−2i2−i2i2−i2000000000000−i2i2−2200-222-2-22-22−2i2i−2i2i00002-22i−2i000000−22−22−i2i2−i2i2000000000000i2−i22−200
χ922-2-222-22-22i−2i2i−2i0000-22−2i2i000000−22−22−i2i2−i2i2000000000000i2−i22−200-222-2-22-22−2i2i−2i2i00002-22i−2i0000002−22−2i2−i2i2−i2000000000000−i2i2−2200
χ932-2-222-22-2−2i2i−2i2i00002-2−2i2i0000002−22−2−i2i2−i2i2000000000000−i2i22−200-222-2-22-222i−2i2i−2i0000-222i−2i000000−22−22i2−i2i2−i2000000000000i2−i2−2200
χ942-2-222-22-2−2i2i−2i2i00002-2−2i2i000000−22−22i2−i2i2−i2000000000000i2−i2−2200-222-2-22-222i−2i2i−2i0000-222i−2i0000002−22−2−i2i2−i2i2000000000000−i2i22−200
χ952-2-222-22-2−2i2i−2i2i0000-222i−2i0000002−22−2−i2i2−i2i2000000000000i2−i2−2200-222-2-22-222i−2i2i−2i00002-2−2i2i000000−22−22i2−i2i2−i2000000000000−i2i22−200
χ962-2-222-22-2−2i2i−2i2i0000-222i−2i000000−22−22i2−i2i2−i2000000000000−i2i22−200-222-2-22-222i−2i2i−2i00002-2−2i2i0000002−22−2−i2i2−i2i2000000000000i2−i2−2200
χ97444-4-4-44-400004-44-4000000000000000000000000000000000000-4-4-4444-440000-44-44000000000000000000000000000000000000
χ9844-44-44-4-44-4-440000000000000000000000000000000000000000-4-44-44-444-444-40000000000000000000000000000000000000000
χ9944-44-44-4-4-444-40000000000000000000000000000000000000000-4-44-44-4444-4-440000000000000000000000000000000000000000
χ10044-4-44-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000-4-444-444-40000000000000000000000−2i22i22i2−2i2000000000000000000
χ10144-4-44-4-440000000000000000000000−2i22i22i2−2i2000000000000000000-4-444-444-400000000000000000000002i2−2i2−2i22i2000000000000000000
χ1024-44-444-4-4000044-4-4000000000000000000000000000000000000-44-44-4-4440000-4-444000000000000000000000000000000000000
χ1034-4-4-4-444400000000000000000022−22−22220000000000000000000000-44444-4-4-4000000000000000000−222222−220000000000000000000000
χ1044-4-4-4-4444000000000000000000−222222−220000000000000000000000-44444-4-4-400000000000000000022−22−22220000000000000000000000

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