Finite Group Databasebeta

← Group #72271872

Character table — Group #72271872

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222244444444444444466668888888888888888888888888121212121212121212121212121212121212161616161616161616161616161616161616161616161616161624242424242424242424242432324848484848
order12222222223446664444444666666121222222222222444444444441212121212121222222222222244444444446666666121212121212121212121212121212244444444444121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-111111-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-11111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-11-1-1-1-1-1-111111111-1-111-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11-1-111-11111
χ71111111111111111111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111
χ81111111111111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-111111111111-1-1-1-1-1-111111111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-11111111111-1-11-1-111111-1-11-1-1-1-1
χ91111111111111111-1-1111-1-1111111111111-1111111-111-1-1-1-111-1-1-1-1111-1-111111111111111-1-1-1-11-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-111-1-1
χ101111111111111111-1-1111-1-1111111111111-11111-1-1-1-1-11111-1-111-1-1111-1-11111111111-1-1-1-11111-11-1-1-11111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1-1-111
χ111111111111111111-1-1111-1-1111111111111-1-1-1-1-111-111-1-1-1-1-1-111-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1111111-1-111
χ121111111111111111-1-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1
χ131111111111111111-1-1111-1-111111111-1-1-1-1-1111111-111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-111-1-1-1-11111-1-1-1-11111-111-1-1-111-1-11-1-111
χ141111111111111111-1-1111-1-111111111-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-111111-1-1111-1-1111-1-1
χ151111111111111111-1-1111-1-111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-1-111-111-1-1-1-1-1-1-1-111111111-11111-1-1-111-111-1-1
χ161111111111111111-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-111-1-1-111
χ1711111111111-1-111111-1-1-111111111-1-111-1-1-111-1-11-1-11-11-11-1111111-1-1-111111-1-1-1111111111111-1-11-1-111-1-11-1-11-11-11-111-1-111-1-1-1-11-1-11-1-1-1-1111-1-11-11-1
χ1811111111111-1-111111-1-1-111111111-1-111-1-1-111-1-1-11-1-11-11-11-1-1-1-111-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-1-11-1-11-11-11-1-111-1-111111-111-1-1-11111-1-1-11-11
χ1911111111111-1-111111-1-1-111111111-1-111-1-1-1-1-1111-1-11-11-11-1-1-1-1-111-1-1-111111-1-1-1-1-1-1-11111111111-11-1-1-1111-1-11-11-11-1-1-111-1-111-1-11-1-11-111-1-1-1-111-11-11
χ2011111111111-1-111111-1-1-111111111-1-111-1-1-1-1-111-11-1-11-11-11111111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-11-1-11-11-1111-1-111-1-1111-111-1111-1-1-1111-11-1
χ2111111111111-1-111111-1-1-111111111-1-1-1-111-111-1-11-1-11-11-11-1111111-1-1-111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-11-11-11-111-1-111-1-111-111-11111-1-11-11-11-11
χ2211111111111-1-111111-1-1-111111111-1-1-1-111-111-1-1-11-1-11-11-11-1-1-1-111-1-1-111-1-1-1111-1-1-1-111111111111-1-111-1-1-11-1-11-11-11-1-111-1-111-1-1-11-1-1111-1-1-11-111-11-1
χ2311111111111-1-111111-1-1-111111111-1-1-1-111-1-1-1111-1-11-11-11-1-1-1-1-111-1-1-111-1-1-11111111-1-1-1-1-1-1-1-111-11-1-1-1111-1-11-11-11-1-1-111-1-11111-111-11-1-1111-11-11-11-1
χ2411111111111-1-111111-1-1-111111111-1-1-1-111-1-1-111-11-1-11-11-11111111-1-1-111-1-1-1111111111111111-1-1-11-1-1-111-11-1-11-11-1111-1-111-1-1-1-1-11-1-11-1-1-111-11-1-11-11
χ2511111111111-1-1111-1-1-1-1-1-1-1111111-1-111-1-1111-1-11-111-1-11-1111-1-1-1-1-1-1-1-1-1111-1-1-111111111-1-1-1-1-11-11111-1-11-111-1-11-1111-1-1-1-11111-11-1-11-1-1-1-1-1-1111-1-11
χ2611111111111-1-1111-1-1-1-1-1-1-1111111-1-111-1-1111-1-1-111-111-11-1-1-111-1-1-1-1-1-1-1111-1-1-11111-1-1-1-111111-1-11111-1-1-111-111-11-1-1-11111-1-1-1-1-111-11-1-11-1-1-111-111-1
χ2711111111111-1-1111-1-1-1-1-1-1-1111111-1-111-1-11-1-1111-111-1-11-11-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-11-11-11-1-1111-111-1-11-11-1-11111-1-111-11-1-1111-1111-1-1-111-1
χ2811111111111-1-1111-1-1-1-1-1-1-1111111-1-111-1-11-1-111-111-111-11-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-111-11-1-111-111-111-11-111-1-1-1-111-1-1-111-11111111-1-11-1-11
χ2911111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-111111-1-11-111-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-11-11111-1-11-111-1-11-1111-1-1-1-111-1-11-111-111111-11-1-111-1
χ3011111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-111-111-11-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11-1-11111-1-1-111-111-11-1-1-11111-1-1111-1-11-111-111-11-11-1-11
χ3111111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1111-1-1111-111-1-11-11-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-11-11-1-1111-111-1-11-11-1-11111-1-1-1-11-111-1-1-11-1-11-111-1-11
χ3211111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1111-1-111-111-111-11-111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-111-11-1-111-111-111-11-111-1-1-1-111111-1-11-1-1-1-1-1-11-11-111-1
χ332222222222-122-1-1-12222222-1-1-1-1-1-1-1-10000222222222222222222-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-100000
χ342222222222-122-1-1-12222222-1-1-1-1-1-1-1-1000022222-2-22-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1000000000000000000-2-222-1-1-1-1-111-111111111111111000000000000-1-100000
χ352222222222-122-1-1-12222222-1-1-1-1-1-1-1-100002-2-2-2-2222222222-2-2-2-2-1-1-1-1-1-1-1000000000000000000-2-2-2-2-11111-1-1-1-1-1-1-1-1-1111111110000000000001100000
χ362222222222-122-1-1-12222222-1-1-1-1-1-1-1-100002-2-2-2-2-2-22-2-2-2-2-2-22222-1-1-1-1-1-1-100000000000000000022-2-2-1111111-1111111-1-1-1-1-1-1-1-10000000000001100000
χ372222222222-122-1-1-1-2-2222-2-2-1-1-1-1-1-1-1-10000-2222222-222-2-2-2-222-2-211-1-1-1110000000000000000002-2-2-21-1-1-1-1-1-11-1-11111-1-1-1-111110000000000001100000
χ382222222222-122-1-1-1-2-2222-2-2-1-1-1-1-1-1-1-10000-22222-2-2-2-2-22222-2-22211-1-1-111000000000000000000-22-2-21-1-1-1-111111-1-1-1-11111-1-1-1-10000000000001100000
χ392222222222-122-1-1-1-2-2222-2-2-1-1-1-1-1-1-1-10000-2-2-2-2-222-222-2-2-2-2-2-22211-1-1-111000000000000000000-222211111-1-11-1-111111111-1-1-1-1000000000000-1-100000
χ402222222222-122-1-1-1-2-2222-2-2-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2-2-2222222-2-211-1-1-1110000000000000000002-2221111111111-1-1-1-1-1-1-1-11111000000000000-1-100000
χ412222222222-1-2-2-1-1-122-2-2-222-1-1-1-1-1-1110000-222-2-22-2-22-22-22-22222-1-1111-1-1000000000000000000-2-22-21-1-111-111-11-11-11-1-111-1-111000000000000-1100000
χ422222222222-1-2-2-1-1-122-2-2-222-1-1-1-1-1-1110000-222-2-2-22-2-22-22-22-2-2-2-2-1-1111-1-1000000000000000000222-21-1-1111-111-11-11-111-1-111-1-1000000000000-1100000
χ432222222222-1-2-2-1-1-122-2-2-222-1-1-1-1-1-1110000-2-2-2222-2-22-22-22-2-2-2-2-2-1-1111-1-100000000000000000022-22111-1-1-111-11-11-1111-1-111-1-10000000000001-100000
χ442222222222-1-2-2-1-1-122-2-2-222-1-1-1-1-1-1110000-2-2-222-22-2-22-22-222222-1-1111-1-1000000000000000000-2-2-22111-1-11-111-11-11-1-1-111-1-1110000000000001-100000
χ452222222222-1-2-2-1-1-1-2-2-2-2-2-2-2-1-1-1-1-1-1110000222-2-22-222-2-22-2222-2-21111111000000000000000000-22-22-1-1-111-11-1-111-11-1-1-11111-1-10000000000001-100000
χ462222222222-1-2-2-1-1-1-2-2-2-2-2-2-2-1-1-1-1-1-1110000222-2-2-222-222-22-2-2-22211111110000000000000000002-2-22-1-1-1111-1-11-1-11-1111-1-1-1-1110000000000001-100000
χ472222222222-1-2-2-1-1-1-2-2-2-2-2-2-2-1-1-1-1-1-11100002-2-2222-222-2-22-22-2-22211111110000000000000000002-22-2-111-1-1-11-1-111-11-111-1-1-1-111000000000000-1100000
χ482222222222-1-2-2-1-1-1-2-2-2-2-2-2-2-1-1-1-1-1-11100002-2-222-222-222-22-222-2-21111111000000000000000000-222-2-111-1-11-1-11-1-11-11-1-11111-1-1000000000000-1100000
χ4922222-2-2-22-2222222002-2-200-222-2-2-2222222000000000022-2-20000002-2-2002-2-22-2-20000000022-2-20000000000000022-2-200000000-2200000000000000000
χ5022222-2-2-22-2222222002-2-200-222-2-2-22222220000000000-2-2220000002-2-2002-2-22-2-200000000-2-22200000000000000-2-222000000002-200000000000000000
χ5122222-2-2-22-2222222002-2-200-222-2-2-222-2-2-2-2000000000022-2-20000002-2-200-222-22200000000-2-2220000000000000022-2-2000000002-200000000000000000
χ5222222-2-2-22-2222222002-2-200-222-2-2-222-2-2-2-20000000000-2-2220000002-2-200-222-2220000000022-2-200000000000000-2-22200000000-2200000000000000000
χ5322222-2-2-22-22-2-222200-22200-222-2-2-2-2-222-2-200000000002-2-22000000-222002-2-2-2220000000022-2-2000000000000002-2-22000000002-200000000000000000
χ5422222-2-2-22-22-2-222200-22200-222-2-2-2-2-222-2-20000000000-222-2000000-222002-2-2-22200000000-2-22200000000000000-222-200000000-2200000000000000000
χ5522222-2-2-22-22-2-222200-22200-222-2-2-2-2-2-2-22200000000002-2-22000000-22200-2222-2-200000000-2-222000000000000002-2-2200000000-2200000000000000000
χ5622222-2-2-22-22-2-222200-22200-222-2-2-2-2-2-2-2220000000000-222-2000000-22200-2222-2-20000000022-2-200000000000000-222-2000000002-200000000000000000
χ572222-22-2-2-2222222200-22-200-2-2-222-222222200000220-2-20000000000-22-200-22-2-22-2000022-2-20000000000000220-2-20000000000000000-200002000000000
χ582222-22-2-2-2222222200-22-200-2-2-222-222222200000-2-20220000000000-22-200-22-2-22-20000-2-2220000000000000-2-2022000000000000000020000-2000000000
χ592222-22-2-2-2222222200-22-200-2-2-222-222-2-2-2-200000220-2-20000000000-22-2002-222-220000-2-2220000000000000220-2-2000000000000000020000-2000000000
χ602222-22-2-2-2222222200-22-200-2-2-222-222-2-2-2-200000-2-20220000000000-22-2002-222-22000022-2-20000000000000-2-20220000000000000000-200002000000000
χ612222-22-2-2-222-2-2222002-2200-2-2-222-2-2-222-2-2000002-20-2200000000002-2200-22-22-22000022-2-200000000000002-20-22000000000000000020000-2000000000
χ622222-22-2-2-222-2-2222002-2200-2-2-222-2-2-222-2-200000-2202-200000000002-2200-22-22-220000-2-2220000000000000-2202-20000000000000000-200002000000000
χ632222-22-2-2-222-2-2222002-2200-2-2-222-2-2-2-2-222000002-20-2200000000002-22002-22-22-20000-2-22200000000000002-20-220000000000000000-200002000000000
χ642222-22-2-2-222-2-2222002-2200-2-2-222-2-2-2-2-22200000-2202-200000000002-22002-22-22-2000022-2-20000000000000-2202-2000000000000000020000-2000000000
χ652222-2-222-2-222222222-2-22-2-22-2-2-2-22222222-20000002000000000022-2-22-2-2-2-22-2-220000000000000000-200000020000000000000000220-2-2000000000000
χ662222-2-222-2-222222222-2-22-2-22-2-2-2-2222-2-2-2-2-20000002000000000022-2-22-2-222-222-20000000000000000-200000020000000000000000-2-2022000000000000
χ672222-2-222-2-2222222-2-2-2-22222-2-2-2-222222222000000-20000000000-2-2-2-2222-2-22-2-2200000000000000002000000-20000000000000000-2-2022000000000000
χ682222-2-222-2-2222222-2-2-2-22222-2-2-2-2222-2-2-2-22000000-20000000000-2-2-2-222222-222-200000000000000002000000-20000000000000000220-2-2000000000000
χ692222-2-222-2-22-2-22222222-2-2-22-2-2-2-22-2-222-2-22000000-200000000002222-2-2-2-2-2222-200000000000000002000000-200000000000000002-20-22000000000000
χ702222-2-222-2-22-2-22222222-2-2-22-2-2-2-22-2-2-2-2222000000-200000000002222-2-2-222-2-2-2200000000000000002000000-20000000000000000-2202-2000000000000
χ712222-2-222-2-22-2-2222-2-222-2222-2-2-2-22-2-222-2-2-200000020000000000-2-222-222-2-2222-20000000000000000-200000020000000000000000-2202-2000000000000
χ722222-2-222-2-22-2-2222-2-222-2222-2-2-2-22-2-2-2-222-200000020000000000-2-222-22222-2-2-220000000000000000-2000000200000000000000002-20-22000000000000
χ7322-2-22-22-2-222002-2-22i−2i0002i−2i22-22-2-2000000000000000000002-22i−2i2i−2i0002i−2i00000022-2-22-22-22i−2i2i−2i0000000000000000002-2002i−2i0000000000002i−2i0000000
χ7422-2-22-22-2-222002-2-22i−2i0002i−2i22-22-2-2000000000000000000002-22i−2i2i−2i0002i−2i000000-2-222-22-22−2i2i−2i2i0000000000000000002-2002i−2i000000000000−2i2i0000000
χ7522-2-22-22-2-222002-2-22i−2i0002i−2i22-22-2-200000000000000000000-22−2i2i2i−2i0002i−2i00000022-2-2-22-22−2i2i−2i2i000000000000000000-2200−2i2i0000000000002i−2i0000000
χ7622-2-22-22-2-222002-2-22i−2i0002i−2i22-22-2-200000000000000000000-22−2i2i2i−2i0002i−2i000000-2-2222-22-22i−2i2i−2i000000000000000000-2200−2i2i000000000000−2i2i0000000
χ7722-2-22-22-2-222002-2-2−2i2i000−2i2i22-22-2-2000000000000000000002-2−2i2i−2i2i000−2i2i00000022-2-22-22-2−2i2i−2i2i0000000000000000002-200−2i2i000000000000−2i2i0000000
χ7822-2-22-22-2-222002-2-2−2i2i000−2i2i22-22-2-2000000000000000000002-2−2i2i−2i2i000−2i2i000000-2-222-22-222i−2i2i−2i0000000000000000002-200−2i2i0000000000002i−2i0000000
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Here i is the imaginary unit (i² = −1).