Finite Group Databasebeta

← Group #11667227

Character table — Group #11667227

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222224444444446666668888888888888121212121216162424242411112222222244444444466666688888888888881212121212161624242424
order12223444466648888121212122244442444661212122424242448888121224442222644446664888812121212224444244466121212242424244888812122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1111111111111-1-111111-1-1-1-11-1-1-1-1-1-111-1-11111111111111-1-1-1-1111111111111-1-111111-1-1-1-11-1-1-1-1-1-111-1-1
χ61111111111111-1-1-1-11111111111-1-111-1-1-1-11-1-1-1-11-1-1-1-111-1-1111111111111111-1-1-1-11111111111-1-111-1-1-1-11-1-1-1-11-1-1-1-111-1-111
χ71111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111-1-1-1-1-11111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111-1-1-1-1-11111-1-1-1-111
χ81111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-111111111-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-111111111-1-1
χ911111-1-111111-111-1-11-1-1111-1-1-1-11-11-111-1-1-111-1-1111-1-11-1-111-111111-1-111111-111-1-11-1-1111-1-1-1-11-11-111-1-1-111-1-1111-1-11-1-111-1
χ1011111-1-111111-111-1-11-1-1111-1-1-1-1-11-11-1-111-111-1-1111-1-1-111-1-1111111-1-111111-111-1-11-1-1111-1-1-1-1-11-11-1-111-111-1-1111-1-1-111-1-11
χ1111111-1-111111-111-1-11-1-11-1-111111-11-111-1-1-111-1-1-1-1-1111-11-1-1111111-1-111111-111-1-11-1-11-1-111111-11-111-1-1-111-1-1-1-1-1111-11-1-11
χ1211111-1-111111-111-1-11-1-11-1-11111-11-11-1-111-111-1-1-1-1-111-11-111-111111-1-111111-111-1-11-1-11-1-11111-11-11-1-111-111-1-1-1-1-111-11-111-1
χ1311111-1-111111-1-1-1111-1-1111-1-1-1-11-1-1111-1-1-1-1-1111-1-111-11-11-1111111-1-111111-1-1-1111-1-1111-1-1-1-11-1-1111-1-1-1-1-1111-1-111-11-11-11
χ1411111-1-111111-1-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-1111-1-1111-11-11-111111-1-111111-1-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-1111-1-1111-11-11-1
χ1511111-1-111111-1-1-1111-1-11-1-111111-1-1111-1-1-1-1-111-111-1-1-111-11-111111-1-111111-1-1-1111-1-11-1-111111-1-1111-1-1-1-1-111-111-1-1-111-11-1
χ1611111-1-111111-1-1-1111-1-11-1-11111-111-1-1-111-1-1-111-111-1-11-1-11-1111111-1-111111-1-1-1111-1-11-1-11111-111-1-1-111-1-1-111-111-1-11-1-11-11
χ172222222-2-2222-20000-222-22222-2-200000000-20000-200000000002222222-2-2222-20000-222-22222-2-200000000-20000-20000000000
χ182222222-2-2222-20000-222-2-2-2-2-22200000000-20000200000000002222222-2-2222-20000-222-2-2-2-2-22200000000-2000020000000000
χ1922222-2-2-2-222220000-2-2-2-222-2-2220000000020000-2000000000022222-2-2-2-222220000-2-2-2-222-2-2220000000020000-20000000000
χ2022222-2-2-2-222220000-2-2-2-2-2-222-2-200000000200002000000000022222-2-2-2-222220000-2-2-2-2-2-222-2-2000000002000020000000000
χ212222-12222-1-1-122222-1-1-1-10000002222-1-1-1-1-1-1-1-1-100000-1-100002222-12222-1-1-122222-1-1-1-10000002222-1-1-1-1-1-1-1-1-100000-1-10000
χ222222-12222-1-1-122222-1-1-1-1000000-2-2-2-21111-1-1-1-1-1000001100002222-12222-1-1-122222-1-1-1-1000000-2-2-2-21111-1-1-1-1-100000110000
χ232222-12222-1-1-12-2-2-2-2-1-1-1-100000022-2-2-1-1-1-1-11111000001100002222-12222-1-1-12-2-2-2-2-1-1-1-100000022-2-2-1-1-1-1-1111100000110000
χ242222-12222-1-1-12-2-2-2-2-1-1-1-1000000-2-2221111-1111100000-1-100002222-12222-1-1-12-2-2-2-2-1-1-1-1000000-2-2221111-1111100000-1-10000
χ252222-1-2-222-1-1-1-222-2-2-111-10000002-22-2-1-1111-1-11100000-1100002222-1-2-222-1-1-1-222-2-2-111-10000002-22-2-1-1111-1-11100000-110000
χ262222-1-2-222-1-1-1-222-2-2-111-1000000-22-2211-1-11-1-111000001-100002222-1-2-222-1-1-1-222-2-2-111-1000000-22-2211-1-11-1-111000001-10000
χ272222-1-2-222-1-1-1-2-2-222-111-10000002-2-22-1-111111-1-1000001-100002222-1-2-222-1-1-1-2-2-222-111-10000002-2-22-1-111111-1-1000001-10000
χ282222-1-2-222-1-1-1-2-2-222-111-1000000-222-211-1-1111-1-100000-1100002222-1-2-222-1-1-1-2-2-222-111-1000000-222-211-1-1111-1-100000-110000
χ292-22-222-200-22-20−i2i2−i2i202-202-22-200000000000−i2i2−i2i20−i2i2−i2i20000002-22-222-200-22-20−i2i2−i2i202-202-22-200000000000−i2i2−i2i20−i2i2−i2i2000000
χ302-22-222-200-22-20−i2i2−i2i202-20-22-2200000000000−i2i2−i2i20i2−i2i2−i20000002-22-222-200-22-20−i2i2−i2i202-20-22-2200000000000−i2i2−i2i20i2−i2i2−i2000000
χ312-22-222-200-22-20i2−i2i2−i202-202-22-200000000000i2−i2i2−i20i2−i2i2−i20000002-22-222-200-22-20i2−i2i2−i202-202-22-200000000000i2−i2i2−i20i2−i2i2−i2000000
χ322-22-222-200-22-20i2−i2i2−i202-20-22-2200000000000i2−i2i2−i20−i2i2−i2i20000002-22-222-200-22-20i2−i2i2−i202-20-22-2200000000000i2−i2i2−i20−i2i2−i2i2000000
χ332-22-22-2200-22-20−i2i2i2−i20-2202-2-2200000000000−i2i2i2−i20−i2i2i2−i20000002-22-22-2200-22-20−i2i2i2−i20-2202-2-2200000000000−i2i2i2−i20−i2i2i2−i2000000
χ342-22-22-2200-22-20−i2i2i2−i20-220-222-200000000000−i2i2i2−i20i2−i2−i2i20000002-22-22-2200-22-20−i2i2i2−i20-220-222-200000000000−i2i2i2−i20i2−i2−i2i2000000
χ352-22-22-2200-22-20i2−i2−i2i20-2202-2-2200000000000i2−i2−i2i20i2−i2−i2i20000002-22-22-2200-22-20i2−i2−i2i20-2202-2-2200000000000i2−i2−i2i20i2−i2−i2i2000000
χ362-22-22-2200-22-20i2−i2−i2i20-220-222-200000000000i2−i2−i2i20−i2i2i2−i20000002-22-22-2200-22-20i2−i2−i2i20-220-222-200000000000i2−i2−i2i20−i2i2i2−i2000000
χ374444-244-4-4-2-2-2-400002-2-220000000000000020000000000000004444-244-4-4-2-2-2-400002-2-22000000000000002000000000000000
χ384444-2-4-4-4-4-2-2-240000222200000000000000-20000000000000004444-2-4-4-4-4-2-2-240000222200000000000000-2000000000000000
χ3944-4-44004-44-4-400000-400400000000000000000000000000000044-4-44004-44-4-400000-4004000000000000000000000000000000
χ4044-4-4400-444-4-400000400-400000000000000000000000000000044-4-4400-444-4-400000400-4000000000000000000000000000000
χ4144-4-4-2004-4-22200000200-200000000000023−23000000000000000044-4-4-2004-4-22200000200-200000000000023−230000000000000000
χ4244-4-4-2004-4-22200000200-2000000000000−2323000000000000000044-4-4-2004-4-22200000200-2000000000000−23230000000000000000
χ4344-4-4-200-44-22200000-20020000000000−2i32i300000000000000000044-4-4-200-44-22200000-20020000000000−2i32i3000000000000000000
χ4444-4-4-200-44-22200000-200200000000002i3−2i300000000000000000044-4-4-200-44-22200000-200200000000002i3−2i3000000000000000000
χ454-44-4-24-4002-220−2i22i2−2i22i20-220000000000000000i2−i2i2−i2000000000004-44-4-24-4002-220−2i22i2−2i22i20-220000000000000000i2−i2i2−i200000000000
χ464-44-4-24-4002-2202i2−2i22i2−2i20-220000000000000000−i2i2−i2i2000000000004-44-4-24-4002-2202i2−2i22i2−2i20-220000000000000000−i2i2−i2i200000000000
χ474-44-4-2-44002-220−2i22i22i2−2i202-20000000000000000i2−i2−i2i2000000000004-44-4-2-44002-220−2i22i22i2−2i202-20000000000000000i2−i2−i2i200000000000
χ484-44-4-2-44002-2202i2−2i2−2i22i202-20000000000000000−i2i2i2−i2000000000004-44-4-2-44002-2202i2−2i2−2i22i202-20000000000000000−i2i2i2−i200000000000
χ494-4-4440000-4-4400000000000004-40000000000000000000000004-4-4440000-4-4400000000000004-4000000000000000000000000
χ504-4-4440000-4-440000000000000-440000000000000000000000004-4-4440000-4-440000000000000-44000000000000000000000000
χ518-8-88-4000044-40000000000000000000000000000000000000008-8-88-4000044-4000000000000000000000000000000000000000
χ52111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ53111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111
χ54111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111
χ55111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-11111111-1-1-1-1
χ561111111111111-1-1-1-1111111111111-1-111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1111111-1-111
χ571111111111111-1-1-1-11111111111-1-111-1-1-1-11-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-11111-11111-1-111-1-1
χ581111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-111111-1-1-1-11111-1-1
χ591111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-111111-1-1-1-1-1-1-1-111
χ6011111-1-111111-111-1-11-1-1111-1-1-1-11-11-111-1-1-111-1-1111-1-11-1-111-1-1-1-1-1-111-1-1-1-1-11-1-111-111-1-1-11111-11-11-1-1111-1-111-1-1-111-111-1-11
χ6111111-1-111111-111-1-11-1-1111-1-1-1-1-11-11-1-111-111-1-1111-1-1-111-1-11-1-1-1-1-111-1-1-1-1-11-1-111-111-1-1-111111-11-111-1-11-1-111-1-1-1111-1-111-1
χ6211111-1-111111-111-1-11-1-11-1-111111-11-111-1-1-111-1-1-1-1-1111-11-1-11-1-1-1-1-111-1-1-1-1-11-1-111-111-111-1-1-1-1-11-11-1-1111-1-111111-1-1-11-111-1
χ6311111-1-111111-111-1-11-1-11-1-11111-11-11-1-111-111-1-1-1-1-111-11-111-1-1-1-1-1-111-1-1-1-1-11-1-111-111-111-1-1-1-11-11-111-1-11-1-111111-1-11-11-1-11
χ6411111-1-111111-1-1-1111-1-1111-1-1-1-11-1-1111-1-1-1-1-1111-1-111-11-11-11-1-1-1-1-111-1-1-1-1-1111-1-1-111-1-1-11111-111-1-1-111111-1-1-111-1-11-11-11-1
χ6511111-1-111111-1-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-1111-1-1111-11-11-1-1-1-1-1-111-1-1-1-1-1111-1-1-111-1-1-111111-1-1111-1-1111-1-1-111-1-1-11-11-11
χ6611111-1-111111-1-1-1111-1-11-1-111111-1-1111-1-1-1-1-111-111-1-1-111-11-1-1-1-1-1-111-1-1-1-1-1111-1-1-111-111-1-1-1-1-111-1-1-111111-1-11-1-1111-1-11-11
χ6711111-1-111111-1-1-1111-1-11-1-11111-111-1-1-111-1-1-111-111-1-11-1-11-11-1-1-1-1-111-1-1-1-1-1111-1-1-111-111-1-1-1-11-1-1111-1-1111-1-11-1-111-111-11-1
χ682222222-2-2222-20000-222-22222-2-200000000-20000-20000000000-2-2-2-2-2-2-222-2-2-2200002-2-22-2-2-2-222000000002000020000000000
χ692222222-2-2222-20000-222-2-2-2-2-22200000000-2000020000000000-2-2-2-2-2-2-222-2-2-2200002-2-222222-2-20000000020000-20000000000
χ7022222-2-2-2-222220000-2-2-2-222-2-2220000000020000-20000000000-2-2-2-2-22222-2-2-2-200002222-2-222-2-200000000-2000020000000000
χ7122222-2-2-2-222220000-2-2-2-2-2-222-2-2000000002000020000000000-2-2-2-2-22222-2-2-2-20000222222-2-22200000000-20000-20000000000
χ722222-12222-1-1-122222-1-1-1-10000002222-1-1-1-1-1-1-1-1-100000-1-10000-2-2-2-21-2-2-2-2111-2-2-2-2-21111000000-2-2-2-211111111100000110000
χ732222-12222-1-1-122222-1-1-1-1000000-2-2-2-21111-1-1-1-1-100000110000-2-2-2-21-2-2-2-2111-2-2-2-2-211110000002222-1-1-1-11111100000-1-10000
χ742222-12222-1-1-12-2-2-2-2-1-1-1-100000022-2-2-1-1-1-1-1111100000110000-2-2-2-21-2-2-2-2111-222221111000000-2-22211111-1-1-1-100000-1-10000
χ752222-12222-1-1-12-2-2-2-2-1-1-1-1000000-2-2221111-1111100000-1-10000-2-2-2-21-2-2-2-2111-22222111100000022-2-2-1-1-1-11-1-1-1-100000110000
χ762222-1-2-222-1-1-1-222-2-2-111-10000002-22-2-1-1111-1-11100000-110000-2-2-2-2122-2-21112-2-2221-1-11000000-22-2211-1-1-111-1-1000001-10000
χ772222-1-2-222-1-1-1-222-2-2-111-1000000-22-2211-1-11-1-111000001-10000-2-2-2-2122-2-21112-2-2221-1-110000002-22-2-1-111-111-1-100000-110000
χ782222-1-2-222-1-1-1-2-2-222-111-10000002-2-22-1-111111-1-1000001-10000-2-2-2-2122-2-2111222-2-21-1-11000000-222-211-1-1-1-1-11100000-110000
χ792222-1-2-222-1-1-1-2-2-222-111-1000000-222-211-1-1111-1-100000-110000-2-2-2-2122-2-2111222-2-21-1-110000002-2-22-1-111-1-1-111000001-10000
χ802-22-222-200-22-20−i2i2−i2i202-202-22-200000000000−i2i2−i2i20−i2i2−i2i2000000-22-22-2-22002-220i2−i2i2−i20-220-22-2200000000000i2−i2i2−i20i2−i2i2−i2000000
χ812-22-222-200-22-20−i2i2−i2i202-20-22-2200000000000−i2i2−i2i20i2−i2i2−i2000000-22-22-2-22002-220i2−i2i2−i20-2202-22-200000000000i2−i2i2−i20−i2i2−i2i2000000
χ822-22-222-200-22-20i2−i2i2−i202-202-22-200000000000i2−i2i2−i20i2−i2i2−i2000000-22-22-2-22002-220−i2i2−i2i20-220-22-2200000000000−i2i2−i2i20−i2i2−i2i2000000
χ832-22-222-200-22-20i2−i2i2−i202-20-22-2200000000000i2−i2i2−i20−i2i2−i2i2000000-22-22-2-22002-220−i2i2−i2i20-2202-22-200000000000−i2i2−i2i20i2−i2i2−i2000000
χ842-22-22-2200-22-20−i2i2i2−i20-2202-2-2200000000000−i2i2i2−i20−i2i2i2−i2000000-22-22-22-2002-220i2−i2−i2i202-20-222-200000000000i2−i2−i2i20i2−i2−i2i2000000
χ852-22-22-2200-22-20−i2i2i2−i20-220-222-200000000000−i2i2i2−i20i2−i2−i2i2000000-22-22-22-2002-220i2−i2−i2i202-202-2-2200000000000i2−i2−i2i20−i2i2i2−i2000000
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χ872-22-22-2200-22-20i2−i2−i2i20-220-222-200000000000i2−i2−i2i20−i2i2i2−i2000000-22-22-22-2002-220−i2i2i2−i202-202-2-2200000000000−i2i2i2−i20i2−i2−i2i2000000
χ884444-244-4-4-2-2-2-400002-2-22000000000000002000000000000000-4-4-4-42-4-44422240000-222-200000000000000-2000000000000000
χ894444-2-4-4-4-4-2-2-240000222200000000000000-2000000000000000-4-4-4-424444222-40000-2-2-2-2000000000000002000000000000000
χ9044-4-44004-44-4-400000-4004000000000000000000000000000000-4-444-400-44-44400000400-4000000000000000000000000000000
χ9144-4-4400-444-4-400000400-4000000000000000000000000000000-4-444-4004-4-44400000-4004000000000000000000000000000000
χ9244-4-4-2004-4-22200000200-200000000000023−230000000000000000-4-444200-442-2-200000-2002000000000000−23230000000000000000
χ9344-4-4-2004-4-22200000200-2000000000000−23230000000000000000-4-444200-442-2-200000-200200000000000023−230000000000000000
χ9444-4-4-200-44-22200000-20020000000000−2i32i3000000000000000000-4-4442004-42-2-200000200-200000000002i3−2i3000000000000000000
χ9544-4-4-200-44-22200000-200200000000002i3−2i3000000000000000000-4-4442004-42-2-200000200-20000000000−2i32i3000000000000000000
χ964-44-4-24-4002-220−2i22i2−2i22i20-220000000000000000i2−i2i2−i200000000000-44-442-4400-22-202i2−2i22i2−2i202-20000000000000000−i2i2−i2i200000000000
χ974-44-4-24-4002-2202i2−2i22i2−2i20-220000000000000000−i2i2−i2i200000000000-44-442-4400-22-20−2i22i2−2i22i202-20000000000000000i2−i2i2−i200000000000
χ984-44-4-2-44002-220−2i22i22i2−2i202-20000000000000000i2−i2−i2i200000000000-44-4424-400-22-202i2−2i2−2i22i20-220000000000000000−i2i2i2−i200000000000
χ994-44-4-2-44002-2202i2−2i2−2i22i202-20000000000000000−i2i2i2−i200000000000-44-4424-400-22-20−2i22i22i2−2i20-220000000000000000i2−i2−i2i200000000000
χ1004-4-4440000-4-4400000000000004-4000000000000000000000000-444-4-4000044-40000000000000-44000000000000000000000000
χ1014-4-4440000-4-440000000000000-44000000000000000000000000-444-4-4000044-400000000000004-4000000000000000000000000
χ1028-8-88-4000044-4000000000000000000000000000000000000000-888-840000-4-44000000000000000000000000000000000000000

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