Finite Group Databasebeta

← Group #11819178

Character table — Group #11819178

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121818181818181818242424242424242424242424242424242424242436363636
order1222222233666666666666663444444666666612121212121212121212121212121212121212121212121244444444222244444444121212121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-111
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111-111-1-1-1-11111-1-1-1-11111-1-1
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-111-1-1
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-111-1-111
χ91111111111111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-111-1-1111111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-111-1-11111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-111-1-1-1-111-1-1-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1111111-1-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-111
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1
χ17222222222-122-1-122-1-12-12-12-1-1222222-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000000000000202-1-100-1-100-1-1-1-100000000
χ18222222222-122-1-122-1-12-12-12-1-1222222-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000-20-211001100111100000000
χ19222222222-122-1-122-1-12-12-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-2-21111-2-2-1-1-1-11111111122-2-2000000000000020-2-1-1001100-1-11100000000
χ20222222222-122-1-122-1-12-12-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-2-21111-2-2-1-1-1-111111111-2-2220000000000000-2021100-1-10011-1-100000000
χ21222222222-122-1-122-1-12-12-12-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2112211-1-1-2-21111-1-1-1-1111122220000000000000-20-2-1-100110011-1-100000000
χ22222222222-122-1-122-1-12-12-12-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2112211-1-1-2-21111-1-1-1-11111-2-2-2-200000000000002021100-1-100-1-11100000000
χ23222222222-122-1-122-1-12-12-12-1-1-2-2-2-222-1-1-1-1-1-1-1-2-211-2-2-1-1112211111111-1-1-1-122-2-20000000000000-202-1-100-1-100111100000000
χ24222222222-122-1-122-1-12-12-12-1-1-2-2-2-222-1-1-1-1-1-1-1-2-211-2-2-1-1112211111111-1-1-1-1-2-222000000000000020-211001100-1-1-1-100000000
χ2522222222-12-1-122-1-122-12-12-12-1222222-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000202000-1-100-1-10000-1-1-1-10000
χ2622222222-12-1-122-1-122-12-12-12-1222222-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-20-2000110011000011110000
χ2722222222-12-1-122-1-122-12-12-12-122-2-2-2-2-1-1-1-1-1-1-1-1-12211-2-2-2-211-1-1-1-111111111000022-2-20000000020-2000-1-100110000-1-1110000
χ2822222222-12-1-122-1-122-12-12-12-122-2-2-2-2-1-1-1-1-1-1-1-1-12211-2-2-2-211-1-1-1-1111111110000-2-22200000000-2020001100-1-1000011-1-10000
χ2922222222-12-1-122-1-122-12-12-12-1-2-222-2-2-1-1-1-1-1-1-111-2-2-1-1-2-222111111-1-1-1-111110000222200000000-20-20001100-1-10000-1-1110000
χ3022222222-12-1-122-1-122-12-12-12-1-2-222-2-2-1-1-1-1-1-1-111-2-2-1-1-2-222111111-1-1-1-111110000-2-2-2-200000000202000-1-10011000011-1-10000
χ3122222222-12-1-122-1-122-12-12-12-1-2-2-2-222-1-1-1-1-1-1-111-2-21122-2-2-1-111111111-1-1-1-1000022-2-200000000-2020001100110000-1-1-1-10000
χ3222222222-12-1-122-1-122-12-12-12-1-2-2-2-222-1-1-1-1-1-1-111-2-21122-2-2-1-111111111-1-1-1-10000-2-2220000000020-2000-1-100-1-1000011110000
χ3322-22-2-22-2222-22-22-2-2-2-22-222-222i−2i000022-2-22-2-22i−2i2i−2i000000002i2i−2i−2i0000000000000000000022-2-200000000000000000000002i−2i
χ3422-22-2-22-2222-22-22-2-2-2-22-222-222i−2i000022-2-22-2-22i−2i2i−2i000000002i2i−2i−2i00000000000000000000-2-2220000000000000000000000−2i2i
χ3522-22-2-22-2222-22-22-2-2-2-22-222-22−2i2i000022-2-22-2-2−2i2i−2i2i00000000−2i−2i2i2i0000000000000000000022-2-20000000000000000000000−2i2i
χ3622-22-2-22-2222-22-22-2-2-2-22-222-22−2i2i000022-2-22-2-2−2i2i−2i2i00000000−2i−2i2i2i00000000000000000000-2-22200000000000000000000002i−2i
χ3722-2-2-22-22222-2-2-2-2222-222-2-2-220000002-2-2-2-222000000000000000000000000002i−2i2i−2i0022-2-20000000000000000002i−2i2i−2i000000
χ3822-2-2-22-22222-2-2-2-2222-222-2-2-220000002-2-2-2-222000000000000000000000000002i−2i−2i2i00-2-2220000000000000000002i−2i−2i2i000000
χ3922-2-2-22-22222-2-2-2-2222-222-2-2-220000002-2-2-2-22200000000000000000000000000−2i2i2i−2i00-2-222000000000000000000−2i2i2i−2i000000
χ4022-2-2-22-22222-2-2-2-2222-222-2-2-220000002-2-2-2-22200000000000000000000000000−2i2i−2i2i0022-2-2000000000000000000−2i2i−2i2i000000
χ412-222-2-2-2222-2-222-2-22-22-22-22-2200002-2-222-2-22-20000002-2002-20000000022-2-20000000000002i−2i2i−2i000000000000000000002i−2i00
χ422-222-2-2-2222-2-222-2-22-22-22-22-2200002-2-222-2-22-20000002-2002-20000000022-2-2000000000000−2i2i−2i2i00000000000000000000−2i2i00
χ432-222-2-2-2222-2-222-2-22-22-22-22-220000-22-222-2-22-2000000-2200-2200000000-2-2220000000000002i−2i2i−2i00000000000000000000−2i2i00
χ442-222-2-2-2222-2-222-2-22-22-22-22-220000-22-222-2-22-2000000-2200-2200000000-2-222000000000000−2i2i−2i2i000000000000000000002i−2i00
χ452-22-2-222-222-2-2-2222-222-2-22-2-22000000-2-22-22-220000000000000000000000002i−2i00002i−2i2-22-2000000002i−2i00002i−2i000000000000
χ462-22-2-222-222-2-2-2222-222-2-22-2-22000000-2-22-22-220000000000000000000000002i−2i0000−2i2i-22-22000000002i−2i0000−2i2i000000000000
χ472-22-2-222-222-2-2-2222-222-2-22-2-22000000-2-22-22-22000000000000000000000000−2i2i00002i−2i-22-2200000000−2i2i00002i−2i000000000000
χ482-22-2-222-222-2-2-2222-222-2-22-2-22000000-2-22-22-22000000000000000000000000−2i2i0000−2i2i2-22-200000000−2i2i0000−2i2i000000000000
χ492-2-2222-2-222-222-2-22-22-2-2-2-2222002i−2i00-22-22-2-2200002i−2i002i−2i0000002i2i−2i−2i0000000000002-2-222i−2i−2i2i000000000000000000000000
χ502-2-2222-2-222-222-2-22-22-2-2-2-2222002i−2i00-22-22-2-2200002i−2i002i−2i0000002i2i−2i−2i000000000000-222-2−2i2i2i−2i000000000000000000000000
χ512-2-2222-2-222-222-2-22-22-2-2-2-222200−2i2i00-22-22-2-220000−2i2i00−2i2i000000−2i−2i2i2i0000000000002-2-22−2i2i2i−2i000000000000000000000000
χ522-2-2222-2-222-222-2-22-22-2-2-2-222200−2i2i00-22-22-2-220000−2i2i00−2i2i000000−2i−2i2i2i000000000000-222-22i−2i−2i2i000000000000000000000000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444441111111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4-4-41111111-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444-4-411111112222-2-222-2-222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4441111111222222-2-222-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000
χ57444-44-4-4-44444-44-4-4-4-444-4-4-4440000004-444-4-4-40000000000000000000000000000000000000000000000000000000000000000
χ58444-44-4-4-44-2442-2-4-4224-2-42-4-2-2000000-22-2-222200000000000000000000000000000000000000000000000023−2300000000000000
χ59444-44-4-4-44-2442-2-4-4224-2-42-4-2-2000000-22-2-2222000000000000000000000000000000000000000000000000−232300000000000000
χ60444-44-4-4-4-24-2-2-4422-4-4-242-424-2000000-22-2-22220000000000000000000000000000000000000000000000−2i32i30000000000000000
χ61444-44-4-4-4-24-2-2-4422-4-4-242-424-2000000-22-2-222200000000000000000000000000000000000000000000002i3−2i30000000000000000
χ6244-44-4-44-44-24-4-224-422-4-2-4-242-24i−4i0000-2-222-2224i−4i−2i2i00000000−2i−2i2i2i000000000000000000000000000000000000000000000000
χ6344-44-4-44-44-24-4-224-422-4-2-4-242-2−4i4i0000-2-222-222−4i4i2i−2i000000002i2i−2i−2i000000000000000000000000000000000000000000000000
χ6444-44-4-44-4-24-224-4-22-4-42424-2-4-24i−4i0000-2-222-222−2i2i4i−4i00000000−2i−2i2i2i000000000000000000000000000000000000000000000000
χ6544-44-4-44-4-24-224-4-22-4-42424-2-4-2−4i4i0000-2-222-2222i−2i−4i4i000000002i2i−2i−2i000000000000000000000000000000000000000000000000
χ6644-44-4-44-4-2-2-22-22-22222-22-2-2214i−4i000011-1-11-1-1−2i2i−2i2i00000000ii−i−i3-33-33i−3i3i−3i0000000000000000000000000000000000000000
χ6744-44-4-44-4-2-2-22-22-22222-22-2-2214i−4i000011-1-11-1-1−2i2i−2i2i00000000ii−i−i-33-33−3i3i−3i3i0000000000000000000000000000000000000000
χ6844-44-4-44-4-2-2-22-22-22222-22-2-221−4i4i000011-1-11-1-12i−2i2i−2i00000000−i−iii3-33-3−3i3i−3i3i0000000000000000000000000000000000000000
χ6944-44-4-44-4-2-2-22-22-22222-22-2-221−4i4i000011-1-11-1-12i−2i2i−2i00000000−i−iii-33-333i−3i3i−3i0000000000000000000000000000000000000000
χ7044-4-4-44-444-24-422-44-2-2-4-242-42-2000000-22222-2-2000000000000000000000000004i−4i00000000000000000000000000−2i2i00000000
χ7144-4-4-44-444-24-422-44-2-2-4-242-42-2000000-22222-2-200000000000000000000000000−4i4i000000000000000000000000002i−2i00000000
χ7244-4-4-44-44-24-22-4-42-24424-2-42-4-2000000-22222-2-200000000000000000000000000004i−4i00000000000000000000000000−2i2i000000
χ7344-4-4-44-44-24-22-4-42-24424-2-42-4-2000000-22222-2-20000000000000000000000000000−4i4i000000000000000000000000002i−2i000000
χ744-444-4-4-444-2-4-4-2-2-4-4-22424242-200004-42-2-222-22000000-22004-400000000-2-2220000000000000000000000000000000000000000
χ754-444-4-4-444-2-4-4-2-2-4-4-22424242-20000-442-2-222-220000002-200-440000000022-2-20000000000000000000000000000000000000000
χ764-444-4-4-44-242244224-4-2-4-2-4-2-4-200004-42-2-222-220000004-400-2200000000-2-2220000000000000000000000000000000000000000
χ774-444-4-4-44-242244224-4-2-4-2-4-2-4-20000-442-2-222-22000000-44002-20000000022-2-20000000000000000000000000000000000000000
χ784-444-4-4-44-2-222-2-222-22-22-22-22100004-4-111-1-11-1000000-2200-223i−3i3i−3i3i−3i−3i3i11-1-10000000000000000000000000000000000000000
χ794-444-4-4-44-2-222-2-222-22-22-22-22100004-4-111-1-11-1000000-2200-22−3i3i−3i3i−3i3i3i−3i11-1-10000000000000000000000000000000000000000
χ804-444-4-4-44-2-222-2-222-22-22-22-2210000-44-111-1-11-10000002-2002-23i−3i3i−3i−3i3i3i−3i-1-1110000000000000000000000000000000000000000
χ814-444-4-4-44-2-222-2-222-22-22-22-2210000-44-111-1-11-10000002-2002-2−3i3i−3i3i3i−3i−3i3i-1-1110000000000000000000000000000000000000000
χ824-44-4-444-44-2-4-42-2442-242-4-2-42-200000022-22-22-20000000000000000000000004i−4i000000000000000000−2i2i000000000000000000
χ834-44-4-444-44-2-4-42-2442-242-4-2-42-200000022-22-22-2000000000000000000000000−4i4i0000000000000000002i−2i000000000000000000
χ844-44-4-444-4-2422-44-2-2-44-2-4242-4-200000022-22-22-20000000000000000000000000000004i−4i000000000000000000−2i2i000000000000
χ854-44-4-444-4-2422-44-2-2-44-2-4242-4-200000022-22-22-2000000000000000000000000000000−4i4i0000000000000000002i−2i000000000000
χ864-4-4444-4-44-2-44-22-442-2-42-424-2-2004i−4i002-22-222-200004i−4i00−2i2i000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ874-4-4444-4-44-2-44-22-442-2-42-424-2-200−4i4i002-22-222-20000−4i4i002i−2i0000002i2i−2i−2i00000000000000000000000000000000000000000000
χ884-4-4444-4-4-242-24-42-2-442-42-4-24-2004i−4i002-22-222-20000−2i2i004i−4i000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ894-4-4444-4-4-242-24-42-2-442-42-4-24-200−4i4i002-22-222-200002i−2i00−4i4i0000002i2i−2i−2i00000000000000000000000000000000000000000000
χ904-4-4444-4-4-2-22-2-222-22-22222-2-21004i−4i00-11-11-1-110000−2i2i00−2i2i003-3-33ii−i−i−3i3i3i−3i0000000000000000000000000000000000000000
χ914-4-4444-4-4-2-22-2-222-22-22222-2-21004i−4i00-11-11-1-110000−2i2i00−2i2i00-333-3ii−i−i3i−3i−3i3i0000000000000000000000000000000000000000
χ924-4-4444-4-4-2-22-2-222-22-22222-2-2100−4i4i00-11-11-1-1100002i−2i002i−2i003-3-33−i−iii3i−3i−3i3i0000000000000000000000000000000000000000
χ934-4-4444-4-4-2-22-2-222-22-22222-2-2100−4i4i00-11-11-1-1100002i−2i002i−2i00-333-3−i−iii−3i3i3i−3i0000000000000000000000000000000000000000
χ944-4-4-44-44444-44-4-44-44-4-4-444-444000000-4-4-4444-40000000000000000000000000000000000000000000000000000000000000000
χ954-4-4-44-4444-2-44224-4-22-424-2-4-2-2000000222-2-2-220000000000000000000000000000000000000000000000000000−2i32i30000000000
χ964-4-4-44-4444-2-44224-4-22-424-2-4-2-2000000222-2-2-2200000000000000000000000000000000000000000000000000002i3−2i30000000000
χ974-4-4-44-444-242-2-4-4-224-42-4-2424-2000000222-2-2-22000000000000000000000000000000000000000000000000000000000023−230000
χ984-4-4-44-444-242-2-4-4-224-42-4-2424-2000000222-2-2-220000000000000000000000000000000000000000000000000000000000−23230000
χ99888-88-8-8-8-4-4-4-44-44444-4-4444-420000002-222-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-88-88-4-4-44444-4-4-44-4-444420000002-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-888-8-4-4444-4-4-44-4-444-4442000000-2-22-22-220000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-88-888-4-44-444-44-4444-4-44-42000000-2-2-2222-20000000000000000000000000000000000000000000000000000000000000000

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