Finite Group Databasebeta

← Group #11898379

Character table — Group #11898379

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222222244444444444444444444444444488888888888888888812121212121212121212121218181818242424242424242424242424242424242424363636363636
order122233444444446666663444666121212121212121212121212121212121212121212121212121212121212121212121212121244441212121212121212888822444466661212121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111-1-1-1-1111111111-11-11111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-11-11-1-1-1-1-111-1-111-1-111-1-1-1-1
χ611111111-1-1-1-1111111111-11-11111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-111-1-11111
χ711111111-1-1-1-1111111111-11-11111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-111-111-1-1-1-11111-1-1-1-11111
χ811111111-1-1-1-1111111111-11-11111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-111111-1-111-1-11111-1-1-1-1
χ9111111-1-111-1-1111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111111111111111-1-1-11-11-1-1-1-1-1-111-1-111-1-111-1-1
χ10111111-1-111-1-1111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-111-1-1-111-1-11111-1-111-1-111
χ11111111-1-111-1-1111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-11-1-1111-1-111-1-1-1-11111-1-111
χ12111111-1-111-1-1111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1111111-1-111-1-1-1-111-1-1
χ13111111-1-1-1-1111111111111-1-1111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ14111111-1-1-1-1111111111111-1-1111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-111111111-1-1
χ15111111-1-1-1-1111111111111-1-1111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1
χ16111111-1-1-1-1111111111111-1-1111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-111
χ17222222222222-2-22222222-2-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-2-2-222222222-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ19222222-2-222-2-2-2-2222222222-2222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2220000000000000000000000000000000000000000
χ20222222-2-2-2-222-2-22222222-222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222-2-222-2-22222-2-20000000000000000000000000000000000000000
χ2122222-1222222222-12-12-1-1222-1-1-122-1-122-1-122-1-122-1-1-1-1-1-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-100220000-1-1-1-1000002002200-1-10000-1-1-1-1000000
χ2222222-1222222222-12-12-1-1222-1-1-122-1-122-1-122-1-122-1-1-1-1-1-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000111100000-200-2-2001100001111000000
χ2322222-1222222-2-22-12-12-1-1-2-2-2-1-1-122-1-122-1-122-1-1-2-2111111-21-21-21-1-111-1-111-1-11100000000−i3−i3i3i3000000000000−i3i30000−i3i3−i3i3000000
χ2422222-1222222-2-22-12-12-1-1-2-2-2-1-1-122-1-122-1-122-1-1-2-2111111-21-21-21-1-111-1-111-1-11100000000i3i3−i3−i3000000000000i3−i30000i3−i3i3−i3000000
χ2522222-122-2-2-2-2222-12-12-1-1-22-2-1-1-122-1-1-2-211-2-21122-1-1-1-1-1-1-212-1-21-1-1-1-11111111100220000-1-1-1-100000-2002-200110000-1-111000000
χ2622222-122-2-2-2-2222-12-12-1-1-22-2-1-1-122-1-1-2-211-2-21122-1-1-1-1-1-1-212-1-21-1-1-1-11111111100-2-20000111100000200-2200-1-1000011-1-1000000
χ2722222-122-2-2-2-2-2-22-12-12-1-12-22-1-1-122-1-1-2-211-2-211-2-21111112-1-212-1-1-11111-1-111-1-100000000−i3−i3i3i3000000000000i3−i30000−i3i3i3−i3000000
χ2822222-122-2-2-2-2-2-22-12-12-1-12-22-1-1-122-1-1-2-211-2-211-2-21111112-1-212-1-1-11111-1-111-1-100000000i3i3−i3−i3000000000000−i3i30000i3−i3−i3i3000000
χ2922222-1-2-222-2-2222-12-12-1-1-2-22-1-1-1-2-21122-1-1-2-21122-1-1-1-1-1-1-21-212-11111-1-1-1-1111100220000-1-1-1-100000-200-220011000011-1-1000000
χ3022222-1-2-222-2-2222-12-12-1-1-2-22-1-1-1-2-21122-1-1-2-21122-1-1-1-1-1-1-21-212-11111-1-1-1-1111100-2-200001111000002002-200-1-10000-1-111000000
χ3122222-1-2-222-2-2-2-22-12-12-1-122-2-1-1-1-2-21122-1-1-2-211-2-21111112-12-1-2111-1-1-1-11111-1-100000000−i3−i3i3i3000000000000i3−i30000i3−i3−i3i3000000
χ3222222-1-2-222-2-2-2-22-12-12-1-122-2-1-1-1-2-21122-1-1-2-211-2-21111112-12-1-2111-1-1-1-11111-1-100000000i3i3−i3−i3000000000000−i3i30000−i3i3i3−i3000000
χ3322222-1-2-2-2-222222-12-12-1-12-2-2-1-1-1-2-211-2-21122-1-122-1-1-1-1-1-12-1-21-2111111111-1-1-1-100220000-1-1-1-100000200-2-200-1-100001111000000
χ3422222-1-2-2-2-222222-12-12-1-12-2-2-1-1-1-2-211-2-21122-1-122-1-1-1-1-1-12-1-21-2111111111-1-1-1-100-2-20000111100000-2002200110000-1-1-1-1000000
χ3522222-1-2-2-2-222-2-22-12-12-1-1-222-1-1-1-2-211-2-21122-1-1-2-2111111-212-12-111-1-111-1-1-1-11100000000−i3−i3i3i3000000000000−i3i30000i3−i3i3−i3000000
χ3622222-1-2-2-2-222-2-22-12-12-1-1-222-1-1-1-2-211-2-21122-1-1-2-2111111-212-12-111-1-111-1-1-1-11100000000i3i3−i3−i3000000000000i3−i30000−i3i3−i3i3000000
χ372222-1222222222-12-12-12-1222-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-12-12-12-1-1-1-1-1-1-1-1-1-1-1-12200-1-1-1-100000000202200-1-100-1-1-1-10000000000
χ382222-1222222222-12-12-12-1222-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-2-200111100000000-20-2-200110011110000000000
χ392222-12222222-2-2-12-12-12-1-2-2-2-1-1-1-1-122-1-122-1-12211-2-211111-21-21-2-1-111-1-111-1-1110000−i3−i3i3i300000000000000−i3i300−i3i3−i3i30000000000
χ402222-12222222-2-2-12-12-12-1-2-2-2-1-1-1-1-122-1-122-1-12211-2-211111-21-21-2-1-111-1-111-1-1110000i3i3−i3−i300000000000000i3−i300i3−i3i3−i30000000000
χ412222-1222-2-2-2-222-12-12-12-1-22-2-1-1-1-1-12211-2-211-2-2-1-122-1-1-1-11-2-121-2-1-1-1-1111111112200-1-1-1-100000000-202-2001100-1-1110000000000
χ422222-1222-2-2-2-222-12-12-12-1-22-2-1-1-1-1-12211-2-211-2-2-1-122-1-1-1-11-2-121-2-1-1-1-111111111-2-20011110000000020-2200-1-10011-1-10000000000
χ432222-1222-2-2-2-2-2-2-12-12-12-12-22-1-1-1-1-12211-2-211-2-211-2-21111-121-2-12-1-11111-1-111-1-10000−i3−i3i3i300000000000000i3−i300−i3i3i3−i30000000000
χ442222-1222-2-2-2-2-2-2-12-12-12-12-22-1-1-1-1-12211-2-211-2-211-2-21111-121-2-12-1-11111-1-111-1-10000i3i3−i3−i300000000000000−i3i300i3−i3−i3i30000000000
χ452222-12-2-222-2-222-12-12-12-1-2-22-1-1-111-2-2-1-12211-2-2-1-122-1-1-1-11-21-2-121111-1-1-1-111112200-1-1-1-100000000-20-2200110011-1-10000000000
χ462222-12-2-222-2-222-12-12-12-1-2-22-1-1-111-2-2-1-12211-2-2-1-122-1-1-1-11-21-2-121111-1-1-1-11111-2-200111100000000202-200-1-100-1-1110000000000
χ472222-12-2-222-2-2-2-2-12-12-12-122-2-1-1-111-2-2-1-12211-2-211-2-21111-12-121-211-1-1-1-11111-1-10000−i3−i3i3i300000000000000i3−i300i3−i3−i3i30000000000
χ482222-12-2-222-2-2-2-2-12-12-12-122-2-1-1-111-2-2-1-12211-2-211-2-21111-12-121-211-1-1-1-11111-1-10000i3i3−i3−i300000000000000−i3i300−i3i3i3−i30000000000
χ492222-12-2-2-2-22222-12-12-12-12-2-2-1-1-111-2-211-2-2-1-122-1-122-1-1-1-1-121-21-211111111-1-1-1-12200-1-1-1-10000000020-2-200-1-10011110000000000
χ502222-12-2-2-2-22222-12-12-12-12-2-2-1-1-111-2-211-2-2-1-122-1-122-1-1-1-1-121-21-211111111-1-1-1-1-2-200111100000000-2022001100-1-1-1-10000000000
χ512222-12-2-2-2-222-2-2-12-12-12-1-222-1-1-111-2-211-2-2-1-12211-2-211111-2-12-1211-1-111-1-1-1-1110000−i3−i3i3i300000000000000−i3i300i3−i3i3−i30000000000
χ522222-12-2-2-2-222-2-2-12-12-12-1-222-1-1-111-2-211-2-2-1-12211-2-211111-2-12-1211-1-111-1-1-1-1110000i3i3−i3−i300000000000000i3−i300−i3i3−i3i30000000000
χ532-22-2222i−2i2i−2i2-200-2-222-2-22000-22-22i−2i2i−2i2i−2i2i−2i2-22-2000000000000002i−2i002i−2i002-20000000000000022−2−2000000000000000000−i2i2−i2i22−2
χ542-22-2222i−2i2i−2i2-200-2-222-2-22000-22-22i−2i2i−2i2i−2i2i−2i2-22-2000000000000002i−2i002i−2i002-200000000000000−2−222000000000000000000i2−i2i2−i2−22
χ552-22-2222i−2i−2i2i-2200-2-222-2-22000-22-22i−2i2i−2i−2i2i−2i2i-22-22000000000000002i−2i00−2i2i00-220000000000000022−2−2000000000000000000−i2i2i2−i2−22
χ562-22-2222i−2i−2i2i-2200-2-222-2-22000-22-22i−2i2i−2i−2i2i−2i2i-22-22000000000000002i−2i00−2i2i00-2200000000000000−2−222000000000000000000i2−i2−i2i22−2
χ572-22-222−2i2i2i−2i-2200-2-222-2-22000-22-2−2i2i−2i2i2i−2i2i−2i-22-2200000000000000−2i2i002i−2i00-220000000000000022−2−2000000000000000000i2−i2−i2i2−22
χ582-22-222−2i2i2i−2i-2200-2-222-2-22000-22-2−2i2i−2i2i2i−2i2i−2i-22-2200000000000000−2i2i002i−2i00-2200000000000000−2−222000000000000000000−i2i2i2−i22−2
χ592-22-222−2i2i−2i2i2-200-2-222-2-22000-22-2−2i2i−2i2i−2i2i−2i2i2-22-200000000000000−2i2i00−2i2i002-20000000000000022−2−2000000000000000000i2−i2i2−i22−2
χ602-22-222−2i2i−2i2i2-200-2-222-2-22000-22-2−2i2i−2i2i−2i2i−2i2i2-22-200000000000000−2i2i00−2i2i002-200000000000000−2−222000000000000000000−i2i2−i2i2−22
χ612-2-22220000002-2-2-2-2-22220002-2-20000000000002-22-222-2-20000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2-22-2000000000000000000000000
χ622-2-22220000002-2-2-2-2-22220002-2-20000000000002-22-222-2-20000000000000000002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i-22-22000000000000000000000000
χ632-2-22220000002-2-2-2-2-22220002-2-20000000000002-22-222-2-2000000000000000000−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i-22-22000000000000000000000000
χ642-2-22220000002-2-2-2-2-22220002-2-20000000000002-22-222-2-2000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i2-22-2000000000000000000000000
χ654444-2-244444444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-21111111111110000000000000000000000000000000000000000
χ664444-2-2444444-4-4-2-2-2-2-2-21-4-4-4111-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-122222211-1-111-1-111-1-10000000000000000000000000000000000000000
χ674444-2-244-4-4-4-444-2-2-2-2-2-21-44-4111-2-2-2-222222222-2-2-2-2111122-2-2221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ684444-2-244-4-4-4-4-4-4-2-2-2-2-2-214-44111-2-2-2-2222222222222-1-1-1-1-2-222-2-211-1-1-1-111-1-1110000000000000000000000000000000000000000
χ694444-2-2-4-444-4-444-2-2-2-2-2-21-4-441112222-2-2-2-22222-2-2-2-211112222-2-2-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000
χ704444-2-2-4-444-4-4-4-4-2-2-2-2-2-2144-41112222-2-2-2-222222222-1-1-1-1-2-2-2-222-1-11111-1-1-1-1110000000000000000000000000000000000000000
χ714444-2-2-4-4-4-44444-2-2-2-2-2-214-4-411122222222-2-2-2-2-2-2-2-21111-2-22222-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000
χ724444-2-2-4-4-4-444-4-4-2-2-2-2-2-21-44411122222222-2-2-2-22222-1-1-1-122-2-2-2-2-1-111-1-11111-1-10000000000000000000000000000000000000000
χ7344-4-4440000000044-4-4-4-44000-4-440000000000000000000000000000000000000000000000000022−22−2222000000000000000000000000
χ7444-4-4440000000044-4-4-4-44000-4-4400000000000000000000000000000000000000000000000000−222222−22000000000000000000000000
χ754-44-44-24i−4i4i−4i4-400-424-2-42-20002-224i−4i−2i2i4i−4i−2i2i4-4-2200000000000000−2i2i00−2i2i00-22000000000000000000000000000000000000000000
χ764-44-44-24i−4i−4i4i-4400-424-2-42-20002-224i−4i−2i2i−4i4i2i−2i-442-200000000000000−2i2i002i−2i002-2000000000000000000000000000000000000000000
χ774-44-44-2−4i4i4i−4i-4400-424-2-42-20002-22−4i4i2i−2i4i−4i−2i2i-442-2000000000000002i−2i00−2i2i002-2000000000000000000000000000000000000000000
χ784-44-44-2−4i4i−4i4i4-400-424-2-42-20002-22−4i4i2i−2i−4i4i2i−2i4-4-22000000000000002i−2i002i−2i00-22000000000000000000000000000000000000000000
χ794-44-4-244i−4i4i−4i4-4002-4-242-4-20002-22−2i2i4i−4i−2i2i4i−4i-224-400000000000000−2i2i00−2i2i00-22000000000000000000000000000000000000000000
χ804-44-4-244i−4i−4i4i-44002-4-242-4-20002-22−2i2i4i−4i2i−2i−4i4i2-2-4400000000000000−2i2i002i−2i002-2000000000000000000000000000000000000000000
χ814-44-4-24−4i4i4i−4i-44002-4-242-4-20002-222i−2i−4i4i−2i2i4i−4i2-2-44000000000000002i−2i00−2i2i002-2000000000000000000000000000000000000000000
χ824-44-4-24−4i4i−4i4i4-4002-4-242-4-20002-222i−2i−4i4i2i−2i−4i4i-224-4000000000000002i−2i002i−2i00-22000000000000000000000000000000000000000000
χ834-44-4-2-24i−4i4i−4i4-40022-2-2221000-11-1−2i2i−2i2i−2i2i−2i2i-22-2200003i−3i3i−3i000000i−i3-3i−i3-31-13i−3i0000000000000000000000000000000000000000
χ844-44-4-2-24i−4i4i−4i4-40022-2-2221000-11-1−2i2i−2i2i−2i2i−2i2i-22-220000−3i3i−3i3i000000i−i-33i−i-331-1−3i3i0000000000000000000000000000000000000000
χ854-44-4-2-24i−4i−4i4i-440022-2-2221000-11-1−2i2i−2i2i2i−2i2i−2i2-22-200003i−3i3i−3i000000i−i3-3−ii-33-11−3i3i0000000000000000000000000000000000000000
χ864-44-4-2-24i−4i−4i4i-440022-2-2221000-11-1−2i2i−2i2i2i−2i2i−2i2-22-20000−3i3i−3i3i000000i−i-33−ii3-3-113i−3i0000000000000000000000000000000000000000
χ874-44-4-2-2−4i4i4i−4i-440022-2-2221000-11-12i−2i2i−2i−2i2i−2i2i2-22-200003i−3i3i−3i000000−ii-33i−i3-3-11−3i3i0000000000000000000000000000000000000000
χ884-44-4-2-2−4i4i4i−4i-440022-2-2221000-11-12i−2i2i−2i−2i2i−2i2i2-22-20000−3i3i−3i3i000000−ii3-3i−i-33-113i−3i0000000000000000000000000000000000000000
χ894-44-4-2-2−4i4i−4i4i4-40022-2-2221000-11-12i−2i2i−2i2i−2i2i−2i-22-2200003i−3i3i−3i000000−ii-33−ii-331-13i−3i0000000000000000000000000000000000000000
χ904-44-4-2-2−4i4i−4i4i4-40022-2-2221000-11-12i−2i2i−2i2i−2i2i−2i-22-220000−3i3i−3i3i000000−ii3-3−ii3-31-1−3i3i0000000000000000000000000000000000000000
χ914-4-4444000000-44-4-4-4-44440004-4-4000000000000-44-44-4-4440000000000000000000000000000000000000000000000000000000000
χ924-4-444-20000004-4-42-424-2-2000-2220000000000004-4-22-2-222000000000000000000004i−4i0000−2i2i−2i2i0000000000000000000000000000
χ934-4-444-20000004-4-42-424-2-2000-2220000000000004-4-22-2-22200000000000000000000−4i4i00002i−2i2i−2i0000000000000000000000000000
χ944-4-444-2000000-44-42-424-2-2000-222000000000000-442-222-2-20000000000000000000000000023−23−23230000000000000000000000000000
χ954-4-444-2000000-44-42-424-2-2000-222000000000000-442-222-2-200000000000000000000000000−232323−230000000000000000000000000000
χ964-4-44-240000004-42-42-4-24-2000-222000000000000-224-4-2-2220000000000000000004i−4i00−2i2i−2i2i00000000000000000000000000000000
χ974-4-44-240000004-42-42-4-24-2000-222000000000000-224-4-2-222000000000000000000−4i4i002i−2i2i−2i00000000000000000000000000000000
χ984-4-44-24000000-442-42-4-24-2000-2220000000000002-2-4422-2-2000000000000000000000023−23−232300000000000000000000000000000000
χ994-4-44-24000000-442-42-4-24-2000-2220000000000002-2-4422-2-20000000000000000000000−232323−2300000000000000000000000000000000
χ10088-8-88-4000000008-4-84-84-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4800000000-484-84-8-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-400000000-4-444442000-2-2200000000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-400000000-4-444442000-2-220000000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-40000008-84444-4-420002-2-2000000000000-44-4422-2-20000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4000000-884444-4-420002-2-20000000000004-44-4-2-2220000000000000000000000000000000000000000000000000000000000

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