Finite Group Databasebeta

← Group #11819169

Character table — Group #11819169

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121818181818181818242424242424242424242424242424242424242436363636
order1222222233666666666666663444444666666612121212121212121212121212121212121212121212121244444444222244444444121212121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11111111-1-1-1-1-1-111-1-1-1-111
χ6111111111111111111111111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-11-11111-1-111-1-1-1-1-1-11111-1-1
χ7111111111111111111111111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-11-1-1-1-111-1-1111111-1-111-1-1
χ8111111111111111111111111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1111111-1-111-1-111
χ91111111111111111111111111-1-111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-1111111-1-1-1-1-1-111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-11-1111-1-1-1-1-1-111-1-11111-1-111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1-1-1111111-1-111-1-1-1-1-1-111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-111111111-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1
χ141111111111111111111111111-1-1-1-1111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111
χ151111111111111111111111111-1-1-1-1111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111
χ161111111111111111111111111-1-1-1-1111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-111-1-1-1-1-1-1
χ17222222222-122-1-12-122-1-122-1-1-1222222-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122002200000000002200-1-1-1-10000-1-1-1-100000000
χ18222222222-122-1-12-122-1-122-1-1-1222222-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000000000-2-20011110000111100000000
χ19222222222-122-1-12-122-1-122-1-1-122-2-2-2-2-1-1-1-1-1-1-12211-1-1-2-211-2-2-1-1-1-1111111112200-2-200000000002-200-1-1-1-10000111100000000
χ20222222222-122-1-12-122-1-122-1-1-122-2-2-2-2-1-1-1-1-1-1-12211-1-1-2-211-2-2-1-1-1-111111111-2-200220000000000-220011110000-1-1-1-100000000
χ21222222222-122-1-12-122-1-122-1-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2111122-1-1-2-21111-1-1-1-111112200-2-20000000000-2200-1-1110000-1-11100000000
χ22222222222-122-1-12-122-1-122-1-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2111122-1-1-2-21111-1-1-1-11111-2-2002200000000002-20011-1-1000011-1-100000000
χ23222222222-122-1-12-122-1-122-1-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-1-111-2-2112211111111-1-1-1-12200220000000000-2-200-1-111000011-1-100000000
χ24222222222-122-1-12-122-1-122-1-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-1-111-2-2112211111111-1-1-1-1-2-200-2-20000000000220011-1-10000-1-11100000000
χ2522222222-12-1-122-12-1-122-1-122-1222222-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000000000220000-1-1-1-10000-1-1-1-10000
χ2622222222-12-1-122-12-1-122-1-122-1222222-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000000000-2-200001111000011110000
χ2722222222-12-1-122-12-1-122-1-122-122-2-2-2-2-1-1-1-1-1-1-1-1-1-2-22211-2-211-1-1-1-111111111002200-2-20000000000-220000-1-1110000-1-1110000
χ2822222222-12-1-122-12-1-122-1-122-122-2-2-2-2-1-1-1-1-1-1-1-1-1-2-22211-2-211-1-1-1-11111111100-2-2002200000000002-2000011-1-1000011-1-10000
χ2922222222-12-1-122-12-1-122-1-122-1-2-222-2-2-1-1-1-1-1-1-111-2-2-2-2-1-122111111-1-1-1-11111002200-2-200000000002-20000-1-1-1-1000011110000
χ3022222222-12-1-122-12-1-122-1-122-1-2-222-2-2-1-1-1-1-1-1-111-2-2-2-2-1-122111111-1-1-1-1111100-2-200220000000000-22000011110000-1-1-1-10000
χ3122222222-12-1-122-12-1-122-1-122-1-2-2-2-222-1-1-1-1-1-1-11122-2-211-2-2-1-111111111-1-1-1-1002200220000000000-2-20000-1-111000011-1-10000
χ3222222222-12-1-122-12-1-122-1-122-1-2-2-2-222-1-1-1-1-1-1-11122-2-211-2-2-1-111111111-1-1-1-100-2-200-2-2000000000022000011-1-10000-1-1110000
χ33222-22-2-2-2222-2-2-22-2-2-22-22-22220000002-2-2-222-2000000000000000000000000002i−2i2-20000002i2i−2i−2i000000002i−2i00002-200000000
χ34222-22-2-2-2222-2-2-22-2-2-22-22-22220000002-2-2-222-2000000000000000000000000002i−2i-22000000−2i−2i2i2i000000002i−2i0000-2200000000
χ35222-22-2-2-2222-2-2-22-2-2-22-22-22220000002-2-2-222-200000000000000000000000000−2i2i2-2000000−2i−2i2i2i00000000−2i2i00002-200000000
χ36222-22-2-2-2222-2-2-22-2-2-22-22-22220000002-2-2-222-200000000000000000000000000−2i2i-220000002i2i−2i−2i00000000−2i2i0000-2200000000
χ3722-22-2-2-22222-2-2-2-222-222-22-2-22002i−2i0022-2-2-2-220000002i−2i2i−2i0000002i2i−2i−2i00000000000022-2-20000000000000000000000002i−2i00
χ3822-22-2-2-22222-2-2-2-222-222-22-2-22002i−2i0022-2-2-2-220000002i−2i2i−2i0000002i2i−2i−2i000000000000-2-222000000000000000000000000−2i2i00
χ3922-22-2-2-22222-2-2-2-222-222-22-2-2200−2i2i0022-2-2-2-22000000−2i2i−2i2i000000−2i−2i2i2i00000000000022-2-2000000000000000000000000−2i2i00
χ4022-22-2-2-22222-2-2-2-222-222-22-2-2200−2i2i0022-2-2-2-22000000−2i2i−2i2i000000−2i−2i2i2i000000000000-2-2220000000000000000000000002i−2i00
χ412-222-2-22-222-2-22-22-222-22-2-22-2200002i−2i-222-22-2-2002i−2i0000002i−2i000000002i2i−2i−2i000000002-22-22i−2i2i−2i000000000000000000000000
χ422-222-2-22-222-2-22-22-222-22-2-22-2200002i−2i-222-22-2-2002i−2i0000002i−2i000000002i2i−2i−2i00000000-22-22−2i2i−2i2i000000000000000000000000
χ432-222-2-22-222-2-22-22-222-22-2-22-220000−2i2i-222-22-2-200−2i2i000000−2i2i00000000−2i−2i2i2i000000002-22-2−2i2i−2i2i000000000000000000000000
χ442-222-2-22-222-2-22-22-222-22-2-22-220000−2i2i-222-22-2-200−2i2i000000−2i2i00000000−2i−2i2i2i00000000-22-222i−2i2i−2i000000000000000000000000
χ452-22-2-22-2222-22-2222-2-2-2-2-222-22000000-2-2-222-220000000000000000000000002i−2i00002i−2i00002-2-2200002i−2i0000000000002i−2i0000
χ462-22-2-22-2222-22-2222-2-2-2-2-222-22000000-2-2-222-220000000000000000000000002i−2i0000−2i2i0000-222-200002i−2i000000000000−2i2i0000
χ472-22-2-22-2222-22-2222-2-2-2-2-222-22000000-2-2-222-22000000000000000000000000−2i2i00002i−2i0000-222-20000−2i2i0000000000002i−2i0000
χ482-22-2-22-2222-22-2222-2-2-2-2-222-22000000-2-2-222-22000000000000000000000000−2i2i0000−2i2i00002-2-220000−2i2i000000000000−2i2i0000
χ492-2-2222-2-222-22-22-2-22-2-222-2-2222i−2i0000-22-22-22-22i−2i002i−2i0000002i2i−2i−2i00000000000000002-2-22000000000000000000000000002i−2i
χ502-2-2222-2-222-22-22-2-22-2-222-2-2222i−2i0000-22-22-22-22i−2i002i−2i0000002i2i−2i−2i0000000000000000-222-200000000000000000000000000−2i2i
χ512-2-2222-2-222-22-22-2-22-2-222-2-222−2i2i0000-22-22-22-2−2i2i00−2i2i000000−2i−2i2i2i00000000000000002-2-2200000000000000000000000000−2i2i
χ522-2-2222-2-222-22-22-2-22-2-222-2-222−2i2i0000-22-22-22-2−2i2i00−2i2i000000−2i−2i2i2i0000000000000000-222-2000000000000000000000000002i−2i
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
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4-4-41111111-2-222-2-22222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444-4-41111111222222-2-2-2-222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-444111111122-2-2222222-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000
χ57444-44-4-4-44-24-42242-4-4-224-4-2-2-2000000-2222-2-2200000000000000000000000000004-4000000000000000000000000-2200000000
χ58444-44-4-4-44-24-42242-4-4-224-4-2-2-2000000-2222-2-220000000000000000000000000000-440000000000000000000000002-200000000
χ59444-44-4-4-4-24-22-4-4-2-4224-4-2244-2000000-2222-2-22000000000000000000000000004i−4i00000000000000000000−2i2i00000000000000
χ60444-44-4-4-4-24-22-4-4-2-4224-4-2244-2000000-2222-2-2200000000000000000000000000−4i4i000000000000000000002i−2i00000000000000
χ6144-44-4-4-444-24-422-4-24-4-2-2-4422-2004i−4i00-2-22222-20000004i−4i−2i2i000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ6244-44-4-4-444-24-422-4-24-4-2-2-4422-200−4i4i00-2-22222-2000000−4i4i2i−2i0000002i2i−2i−2i00000000000000000000000000000000000000000000
χ6344-44-4-4-44-24-22-4-424-22442-2-4-4-2004i−4i00-2-22222-2000000−2i2i4i−4i000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ6444-44-4-4-44-24-22-4-424-22442-2-4-4-200−4i4i00-2-22222-20000002i−2i−4i4i0000002i2i−2i−2i00000000000000000000000000000000000000000000
χ6544-44-4-4-44-2-2-22222-2-22-2-22-2221004i−4i0011-1-1-1-11000000−2i2i−2i2i003i−3i3i−3iii−i−i3-33-30000000000000000000000000000000000000000
χ6644-44-4-4-44-2-2-22222-2-22-2-22-2221004i−4i0011-1-1-1-11000000−2i2i−2i2i00−3i3i−3i3iii−i−i-33-330000000000000000000000000000000000000000
χ6744-44-4-4-44-2-2-22222-2-22-2-22-222100−4i4i0011-1-1-1-110000002i−2i2i−2i003i−3i3i−3i−i−iii-33-330000000000000000000000000000000000000000
χ6844-44-4-4-44-2-2-22222-2-22-2-22-222100−4i4i0011-1-1-1-110000002i−2i2i−2i00−3i3i−3i3i−i−iii3-33-30000000000000000000000000000000000000000
χ6944-4-4-444-4444444-4-4-444-4-4-4-4-440000004-444-4-4-40000000000000000000000000000000000000000000000000000000000000000
χ7044-4-4-444-44-244-2-2-42-44-22-4-422-2000000-22-2-22220000000000000000000000000000000000000000000000−2i32i30000000000000000
χ7144-4-4-444-44-244-2-2-42-44-22-4-422-2000000-22-2-222200000000000000000000000000000000000000000000002i3−2i30000000000000000
χ7244-4-4-444-4-24-2-2442-42-24-422-4-4-2000000-22-2-222200000000000000000000000000000000000000000000000000−2i32i3000000000000
χ7344-4-4-444-4-24-2-2442-42-24-422-4-4-2000000-22-2-2222000000000000000000000000000000000000000000000000002i3−2i3000000000000
χ744-444-4-44-44-2-4-4-2242442-2-4-4-22-200004i−4i2-2-22-22200−2i2i0000004i−4i00000000−2i−2i2i2i0000000000000000000000000000000000000000
χ754-444-4-44-44-2-4-4-2242442-2-4-4-22-20000−4i4i2-2-22-222002i−2i000000−4i4i000000002i2i−2i−2i0000000000000000000000000000000000000000
χ764-444-4-44-4-24224-4-2-4-2-2-44224-4-200004i−4i2-2-22-222004i−4i000000−2i2i00000000−2i−2i2i2i0000000000000000000000000000000000000000
χ774-444-4-44-4-24224-4-2-4-2-2-44224-4-20000−4i4i2-2-22-22200−4i4i0000002i−2i000000002i2i−2i−2i0000000000000000000000000000000000000000
χ784-444-4-44-4-2-222-22-22-2-22-222-22100004i−4i-111-11-1-100−2i2i000000−2i2i3-3-333i−3i3i−3iii−i−i0000000000000000000000000000000000000000
χ794-444-4-44-4-2-222-22-22-2-22-222-22100004i−4i-111-11-1-100−2i2i000000−2i2i-333-3−3i3i−3i3iii−i−i0000000000000000000000000000000000000000
χ804-444-4-44-4-2-222-22-22-2-22-222-2210000−4i4i-111-11-1-1002i−2i0000002i−2i3-3-33−3i3i−3i3i−i−iii0000000000000000000000000000000000000000
χ814-444-4-44-4-2-222-22-22-2-22-222-2210000−4i4i-111-11-1-1002i−2i0000002i−2i-333-33i−3i3i−3i−i−iii0000000000000000000000000000000000000000
χ824-44-4-44-444-2-442-24-2-4-422-44-22-2000000222-2-22-20000000000000000000000004i−4i000000000000000000−2i2i000000000000000000
χ834-44-4-44-444-2-442-24-2-4-422-44-22-2000000222-2-22-2000000000000000000000000−4i4i0000000000000000002i−2i000000000000000000
χ844-44-4-44-44-242-2-44-2422-4-42-24-4-2000000222-2-22-20000000000000000000000000000004i−4i00000000000000000000000000−2i2i0000
χ854-44-4-44-44-242-2-44-2422-4-42-24-4-2000000222-2-22-2000000000000000000000000000000−4i4i000000000000000000000000002i−2i0000
χ864-4-4444-4-44-2-442-2-424-42-24-42-2-24i−4i00002-22-22-224i−4i00−2i2i000000−2i−2i2i2i000000000000000000000000000000000000000000000000
χ874-4-4444-4-44-2-442-2-424-42-24-42-2-2−4i4i00002-22-22-22−4i4i002i−2i0000002i2i−2i−2i000000000000000000000000000000000000000000000000
χ884-4-4444-4-4-242-2-442-4-22-44-22-44-24i−4i00002-22-22-22−2i2i004i−4i000000−2i−2i2i2i000000000000000000000000000000000000000000000000
χ894-4-4444-4-4-242-2-442-4-22-44-22-44-2−4i4i00002-22-22-222i−2i00−4i4i0000002i2i−2i−2i000000000000000000000000000000000000000000000000
χ904-4-4444-4-4-2-22-22-222-222-2-222-214i−4i0000-11-11-11-1−2i2i00−2i2i000000ii−i−i3-3-33−3i3i3i−3i0000000000000000000000000000000000000000
χ914-4-4444-4-4-2-22-22-222-222-2-222-214i−4i0000-11-11-11-1−2i2i00−2i2i000000ii−i−i-333-33i−3i−3i3i0000000000000000000000000000000000000000
χ924-4-4444-4-4-2-22-22-222-222-2-222-21−4i4i0000-11-11-11-12i−2i002i−2i000000−i−iii3-3-333i−3i−3i3i0000000000000000000000000000000000000000
χ934-4-4444-4-4-2-22-22-222-222-2-222-21−4i4i0000-11-11-11-12i−2i002i−2i000000−i−iii-333-3−3i3i3i−3i0000000000000000000000000000000000000000
χ944-4-4-44-44444-4-44-4-44-44-4-444-444000000-4-44-4-4440000000000000000000000000000000000000000000000000000000000000000
χ954-4-4-44-4444-2-4-4-22-4-2-4422442-2-200000022-222-2-2000000000000000000000000000000000000000000000000000023−230000000000
χ964-4-4-44-4444-2-4-4-22-4-2-4422442-2-200000022-222-2-20000000000000000000000000000000000000000000000000000−23230000000000
χ974-4-4-44-444-24224-4242-2-4-4-2-2-44-200000022-222-2-200000000000000000000000000000000000000000000000000000000−2i32i3000000
χ984-4-4-44-444-24224-4242-2-4-4-2-2-44-200000022-222-2-2000000000000000000000000000000000000000000000000000000002i3−2i3000000
χ99888-88-8-8-8-4-4-4444-4444-44-44-4-420000002-2-2-222-20000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-888-8-4-4-4-4-4-4444-4-44444420000002-222-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-88-88-4-44-44-4-4-444444-4-442000000-2-2-222-220000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-88-888-4-444-444-44-444-4-44-42000000-2-22-2-2220000000000000000000000000000000000000000000000000000000000000000

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