Finite Group Databasebeta

← Group #6443521

Character table — Group #6443521

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444442244444444888888882244444444448888242222222244444444224444444488888888224444444444888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-11-1-11111-1-11111111111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-11-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-1-1-1-1-111
χ51111111111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-111-1-1-1-111
χ81111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1111111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1111111-1-1
χ911111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-111-1-1111-111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-111-1-1111-1
χ1011111111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-11
χ1111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-1-111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-1-111-11
χ1211111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-111-1-11-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-111-1-11-1
χ1311111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1111-1-111-1-1-1111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1111-1-111-1-1-11
χ1411111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1111-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1111-1
χ1511111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-111111-1-11-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-111111-1-11-1
χ1611111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1111-1-111-1111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1111-1-111-11
χ17222222222222-2-2-2-222-2-222000000000000000000-200-200000000222222222222-2-2-2-222-2-222000000000000000000-200-200000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000200200000000222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000200200000000
χ1922222222-2-2-2-2-2-2-2-22222-2-2000000000000000000-20020000000022222222-2-2-2-2-2-2-2-22222-2-2000000000000000000-200200000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222000000000000000000200-20000000022222222-2-2-2-2-2-2-2-2-2-22222000000000000000000200-200000000
χ2122-22-2-22-22i2i−2i−2i2-2-22002i−2i0000000000000000000002-202i−2i00000022-22-2-22-22i2i−2i−2i2-2-22002i−2i0000000000000000000002-202i−2i000000
χ2222-22-2-22-22i2i−2i−2i2-2-22002i−2i000000000000000000000-220−2i2i00000022-22-2-22-22i2i−2i−2i2-2-22002i−2i000000000000000000000-220−2i2i000000
χ2322-22-2-22-22i2i−2i−2i-222-200−2i2i002i2i−2i−2i00000000002-20000000000000022-22-2-22-22i2i−2i−2i-222-200−2i2i002i2i−2i−2i00000000002-200000000000000
χ2422-22-2-22-22i2i−2i−2i-222-200−2i2i00−2i−2i2i2i0000000000-220000000000000022-22-2-22-22i2i−2i−2i-222-200−2i2i00−2i−2i2i2i0000000000-2200000000000000
χ2522-22-2-22-2−2i−2i2i2i2-2-2200−2i2i0000000000000000000002-20−2i2i00000022-22-2-22-2−2i−2i2i2i2-2-2200−2i2i0000000000000000000002-20−2i2i000000
χ2622-22-2-22-2−2i−2i2i2i2-2-2200−2i2i000000000000000000000-2202i−2i00000022-22-2-22-2−2i−2i2i2i2-2-2200−2i2i000000000000000000000-2202i−2i000000
χ2722-22-2-22-2−2i−2i2i2i-222-2002i−2i002i2i−2i−2i0000000000-220000000000000022-22-2-22-2−2i−2i2i2i-222-2002i−2i002i2i−2i−2i0000000000-2200000000000000
χ2822-22-2-22-2−2i−2i2i2i-222-2002i−2i00−2i−2i2i2i00000000002-20000000000000022-22-2-22-2−2i−2i2i2i-222-2002i−2i00−2i−2i2i2i00000000002-200000000000000
χ2922-2-222-2-22-22-200002-2002-20000i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i20022-2-222-2-22-22-200002-2002-20000i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i200
χ3022-2-222-2-22-22-200002-2002-20000−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i20022-2-222-2-22-22-200002-2002-20000−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i200
χ3122-2-222-2-22-22-20000-2200-220000i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i20022-2-222-2-22-22-20000-2200-220000i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i200
χ3222-2-222-2-22-22-20000-2200-220000−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i20022-2-222-2-22-22-20000-2200-220000−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i200
χ3322-2-222-2-2-22-2200002-200-220000i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i20022-2-222-2-2-22-2200002-200-220000i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i200
χ3422-2-222-2-2-22-2200002-200-220000−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i20022-2-222-2-2-22-2200002-200-220000−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i200
χ3522-2-222-2-2-22-220000-22002-20000i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i20022-2-222-2-2-22-220000-22002-20000i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i200
χ3622-2-222-2-2-22-220000-22002-20000−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i20022-2-222-2-2-22-220000-22002-20000−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i200
χ372-22-22-22-2000022-2-20000002i−2i2i−2i2i−2i2i−2i000000002-20000000000002-22-22-22-2000022-2-20000002i−2i2i−2i2i−2i2i−2i000000002-2000000000000
χ382-22-22-22-2000022-2-20000002i−2i2i−2i−2i2i−2i2i00000000-220000000000002-22-22-22-2000022-2-20000002i−2i2i−2i−2i2i−2i2i00000000-22000000000000
χ392-22-22-22-2000022-2-2000000−2i2i−2i2i2i−2i2i−2i00000000-220000000000002-22-22-22-2000022-2-2000000−2i2i−2i2i2i−2i2i−2i00000000-22000000000000
χ402-22-22-22-2000022-2-2000000−2i2i−2i2i−2i2i−2i2i000000002-20000000000002-22-22-22-2000022-2-2000000−2i2i−2i2i−2i2i−2i2i000000002-2000000000000
χ412-2-2-2-22220000-22-220000002-2-2200002-22-22-200000000000000002-2-2-2-22220000-22-220000002-2-2200002-22-22-20000000000000000
χ422-2-2-2-22220000-22-220000002-2-220000-22-22-2200000000000000002-2-2-2-22220000-22-220000002-2-220000-22-22-220000000000000000
χ432-2-2-2-22220000-22-22000000-222-200002-22-2-2200000000000000002-2-2-2-22220000-22-22000000-222-200002-22-2-220000000000000000
χ442-2-2-2-22220000-22-22000000-222-20000-22-222-200000000000000002-2-2-2-22220000-22-22000000-222-20000-22-222-20000000000000000
χ45444-4-4-4-444i−4i−4i4i0000000000000000000000000000000000000000444-4-4-4-444i−4i−4i4i0000000000000000000000000000000000000000
χ46444-4-4-4-44−4i4i4i−4i0000000000000000000000000000000000000000444-4-4-4-44−4i4i4i−4i0000000000000000000000000000000000000000
χ474-444-44-4-400000000000000000000002i2−2i2−2i22i20000000000000000004-444-44-4-400000000000000000000002i2−2i2−2i22i2000000000000000000
χ484-444-44-4-40000000000000000000000−2i22i22i2−2i20000000000000000004-444-44-4-40000000000000000000000−2i22i22i2−2i2000000000000000000
χ494-44-44-44-40000-4-4440000000000000000000000000000000000004-44-44-44-40000-4-444000000000000000000000000000000000000
χ504-4-444-4-4400000000000000000022−22−222200000000000000000000004-4-444-4-4400000000000000000022−22−22220000000000000000000000
χ514-4-444-4-44000000000000000000−222222−2200000000000000000000004-4-444-4-44000000000000000000−222222−220000000000000000000000
χ524-4-4-4-444400004-44-40000000000000000000000000000000000004-4-4-4-444400004-44-4000000000000000000000000000000000000
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
χ5411111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111111
χ551111111111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-111-1-1-1-111
χ561111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-111-1111111-1-1
χ571111111111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ581111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1
χ591111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-1
χ601111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-111-1-11-1-11-1-1-1-1-1-111
χ6111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-11
χ6211111111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1111-1-1-1-1111-1
χ6311111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-111111-1-11-1
χ6411111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1111-1-111-11
χ6511111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1111-1-111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-111-1-1111-1
χ6611111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-11111-1-1-11
χ6711111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-111-11
χ6811111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1111-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1111-1-1-111-1-11-1
χ69222222222222-2-2-2-222-2-222000000000000000000-200-200000000-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-2000000000000000000200200000000
χ70222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000200200000000-2-2-2-2-2-2-2-2-2-2-2-22222222222000000000000000000-200-200000000
χ7122222222-2-2-2-2-2-2-2-22222-2-2000000000000000000-200200000000-2-2-2-2-2-2-2-222222222-2-2-2-222000000000000000000200-200000000
χ7222222222-2-2-2-2-2-2-2-2-2-22222000000000000000000200-200000000-2-2-2-2-2-2-2-22222222222-2-2-2-2000000000000000000-200200000000
χ7322-22-2-22-22i2i−2i−2i2-2-22002i−2i0000000000000000000002-202i−2i000000-2-22-222-22−2i−2i2i2i-222-200−2i2i000000000000000000000-220−2i2i000000
χ7422-22-2-22-22i2i−2i−2i2-2-22002i−2i000000000000000000000-220−2i2i000000-2-22-222-22−2i−2i2i2i-222-200−2i2i0000000000000000000002-202i−2i000000
χ7522-22-2-22-22i2i−2i−2i-222-200−2i2i002i2i−2i−2i00000000002-200000000000000-2-22-222-22−2i−2i2i2i2-2-22002i−2i00−2i−2i2i2i0000000000-2200000000000000
χ7622-22-2-22-22i2i−2i−2i-222-200−2i2i00−2i−2i2i2i0000000000-2200000000000000-2-22-222-22−2i−2i2i2i2-2-22002i−2i002i2i−2i−2i00000000002-200000000000000
χ7722-22-2-22-2−2i−2i2i2i2-2-2200−2i2i0000000000000000000002-20−2i2i000000-2-22-222-222i2i−2i−2i-222-2002i−2i000000000000000000000-2202i−2i000000
χ7822-22-2-22-2−2i−2i2i2i2-2-2200−2i2i000000000000000000000-2202i−2i000000-2-22-222-222i2i−2i−2i-222-2002i−2i0000000000000000000002-20−2i2i000000
χ7922-22-2-22-2−2i−2i2i2i-222-2002i−2i002i2i−2i−2i0000000000-2200000000000000-2-22-222-222i2i−2i−2i2-2-2200−2i2i00−2i−2i2i2i00000000002-200000000000000
χ8022-22-2-22-2−2i−2i2i2i-222-2002i−2i00−2i−2i2i2i00000000002-200000000000000-2-22-222-222i2i−2i−2i2-2-2200−2i2i002i2i−2i−2i0000000000-2200000000000000
χ8122-2-222-2-22-22-200002-2002-20000i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i200-2-222-2-222-22-220000-2200-220000−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i200
χ8222-2-222-2-22-22-200002-2002-20000−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i200-2-222-2-222-22-220000-2200-220000i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i200
χ8322-2-222-2-22-22-20000-2200-220000i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i200-2-222-2-222-22-2200002-2002-20000−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i200
χ8422-2-222-2-22-22-20000-2200-220000−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i200-2-222-2-222-22-2200002-2002-20000i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i200
χ8522-2-222-2-2-22-2200002-200-220000i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i200-2-222-2-2222-22-20000-22002-20000−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i200
χ8622-2-222-2-2-22-2200002-200-220000−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i200-2-222-2-2222-22-20000-22002-20000i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i200
χ8722-2-222-2-2-22-220000-22002-20000i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i200-2-222-2-2222-22-200002-200-220000−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i200
χ8822-2-222-2-2-22-220000-22002-20000−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i200-2-222-2-2222-22-200002-200-220000i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i200
χ892-22-22-22-2000022-2-20000002i−2i2i−2i2i−2i2i−2i000000002-2000000000000-22-22-22-220000-2-222000000−2i2i−2i2i−2i2i−2i2i00000000-22000000000000
χ902-22-22-22-2000022-2-20000002i−2i2i−2i−2i2i−2i2i00000000-22000000000000-22-22-22-220000-2-222000000−2i2i−2i2i2i−2i2i−2i000000002-2000000000000
χ912-22-22-22-2000022-2-2000000−2i2i−2i2i2i−2i2i−2i00000000-22000000000000-22-22-22-220000-2-2220000002i−2i2i−2i−2i2i−2i2i000000002-2000000000000
χ922-22-22-22-2000022-2-2000000−2i2i−2i2i−2i2i−2i2i000000002-2000000000000-22-22-22-220000-2-2220000002i−2i2i−2i2i−2i2i−2i00000000-22000000000000
χ932-2-2-2-22220000-22-220000002-2-2200002-22-22-20000000000000000-22222-2-2-200002-22-2000000-222-20000-22-22-220000000000000000
χ942-2-2-2-22220000-22-220000002-2-220000-22-22-220000000000000000-22222-2-2-200002-22-2000000-222-200002-22-22-20000000000000000
χ952-2-2-2-22220000-22-22000000-222-200002-22-2-220000000000000000-22222-2-2-200002-22-20000002-2-220000-22-222-20000000000000000
χ962-2-2-2-22220000-22-22000000-222-20000-22-222-20000000000000000-22222-2-2-200002-22-20000002-2-2200002-22-2-220000000000000000
χ97444-4-4-4-444i−4i−4i4i0000000000000000000000000000000000000000-4-4-44444-4−4i4i4i−4i0000000000000000000000000000000000000000
χ98444-4-4-4-44−4i4i4i−4i0000000000000000000000000000000000000000-4-4-44444-44i−4i−4i4i0000000000000000000000000000000000000000
χ994-444-44-4-400000000000000000000002i2−2i2−2i22i2000000000000000000-44-4-44-4440000000000000000000000−2i22i22i2−2i2000000000000000000
χ1004-444-44-4-40000000000000000000000−2i22i22i2−2i2000000000000000000-44-4-44-44400000000000000000000002i2−2i2−2i22i2000000000000000000
χ1014-44-44-44-40000-4-444000000000000000000000000000000000000-44-44-44-44000044-4-4000000000000000000000000000000000000
χ1024-4-444-4-4400000000000000000022−22−22220000000000000000000000-444-4-444-4000000000000000000−222222−220000000000000000000000
χ1034-4-444-4-44000000000000000000−222222−220000000000000000000000-444-4-444-400000000000000000022−22−22220000000000000000000000
χ1044-4-4-4-444400004-44-4000000000000000000000000000000000000-44444-4-4-40000-44-44000000000000000000000000000000000000

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