Finite Group Databasebeta

← Group #11813003

Character table — Group #11813003

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121818181818181818242424242424242424242424242424242424242436363636
order122222223366666666666666344444466666661212121212121212121212121212121212121212121212122244444422224444244466661212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-11111-1-1-1-111-1-111-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-11-1111-1-111-1-1-1-111-1-111-1-111
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1-1-111-1-11111-1-111-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-111-1-1-1-11111-1-11111-1-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-111-1-1-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-111
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-11-11111-1-111-1-111-1-1-1-111-1-1
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-11-11-1-1-1-111-1-111-1-1111111-1-1
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-111
χ17222222222-122-1-1-122-1-12-12-12-1222222-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122002200000000002200-1-1-1-1-1-100-1-10000000000
χ18222222222-122-1-1-122-1-12-12-12-1222222-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000000000-2-20011111100110000000000
χ19222222222-122-1-1-122-1-12-12-12-122-2-2-2-2-1-1-1-1-1-1-122-1-111-2-2-2-211-1-1-1-1111111112200-2-20000000000-2200-1-111-1-100110000000000
χ20222222222-122-1-1-122-1-12-12-12-122-2-2-2-2-1-1-1-1-1-1-122-1-111-2-2-2-211-1-1-1-111111111-2-2002200000000002-20011-1-11100-1-10000000000
χ21222222222-122-1-1-122-1-12-12-12-1-2-222-2-2-1-1-1-1-1-1-1-2-211-1-1-2-222111111-1-1-1-111112200220000000000-2-200-1-1111100-1-10000000000
χ22222222222-122-1-1-122-1-12-12-12-1-2-222-2-2-1-1-1-1-1-1-1-2-211-1-1-2-222111111-1-1-1-11111-2-200-2-20000000000220011-1-1-1-100110000000000
χ23222222222-122-1-1-122-1-12-12-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2111122-2-2-1-111111111-1-1-1-12200-2-200000000002-200-1-1-1-11100110000000000
χ24222222222-122-1-1-122-1-12-12-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2111122-2-2-1-111111111-1-1-1-1-2-200220000000000-22001111-1-100-1-10000000000
χ2522222222-12-1-1222-1-122-12-12-1-1222222-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100220022000000000022000000-1-100-1-1-1-1-1-10000
χ2622222222-12-1-1222-1-122-12-12-1-1222222-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000000000-2-200000011001111110000
χ2722222222-12-1-1222-1-122-12-12-1-122-2-2-2-2-1-1-1-1-1-1-1-1-122-2-21111-2-2-1-1-1-111111111002200-2-200000000002-2000000-1-10011-1-1110000
χ2822222222-12-1-1222-1-122-12-12-1-122-2-2-2-2-1-1-1-1-1-1-1-1-122-2-21111-2-2-1-1-1-11111111100-2-200220000000000-220000001100-1-111-1-10000
χ2922222222-12-1-1222-1-122-12-12-1-1-2-222-2-2-1-1-1-1-1-1-111-2-22211-1-1-2-21111-1-1-1-11111002200220000000000-2-20000001100-1-1-1-1110000
χ3022222222-12-1-1222-1-122-12-12-1-1-2-222-2-2-1-1-1-1-1-1-111-2-22211-1-1-2-21111-1-1-1-1111100-2-200-2-2000000000022000000-1-1001111-1-10000
χ3122222222-12-1-1222-1-122-12-12-1-1-2-2-2-222-1-1-1-1-1-1-111-2-2-2-2-1-1112211111111-1-1-1-1002200-2-20000000000-22000000110011-1-1-1-10000
χ3222222222-12-1-1222-1-122-12-12-1-1-2-2-2-222-1-1-1-1-1-1-111-2-2-2-2-1-1112211111111-1-1-1-100-2-2002200000000002-2000000-1-100-1-111110000
χ33222-2-2-22-222222-2-22-2-2-2-22-22-2200002-222-2-22-2-20000002-2002-20000000022-2-20000000000002i2i−2i−2i000000000000000000002i−2i00
χ34222-2-2-22-222222-2-22-2-2-2-22-22-2200002-222-2-22-2-20000002-2002-20000000022-2-2000000000000−2i−2i2i2i00000000000000000000−2i2i00
χ35222-2-2-22-222222-2-22-2-2-2-22-22-220000-2222-2-22-2-2000000-2200-2200000000-2-2220000000000002i2i−2i−2i00000000000000000000−2i2i00
χ36222-2-2-22-222222-2-22-2-2-2-22-22-220000-2222-2-22-2-2000000-2200-2200000000-2-222000000000000−2i−2i2i2i000000000000000000002i−2i00
χ3722-22-2-2-22222-222-2-2-22-22-22-2-222i−2i00002-22-2-22-22i−2i2i−2i000000002i2i−2i−2i000000000000000000002-22-200000000000000000000002i−2i
χ3822-22-2-2-22222-222-2-2-22-22-22-2-222i−2i00002-22-2-22-22i−2i2i−2i000000002i2i−2i−2i00000000000000000000-22-220000000000000000000000−2i2i
χ3922-22-2-2-22222-222-2-2-22-22-22-2-22−2i2i00002-22-2-22-2−2i2i−2i2i00000000−2i−2i2i2i000000000000000000002-22-20000000000000000000000−2i2i
χ4022-22-2-2-22222-222-2-2-22-22-22-2-22−2i2i00002-22-2-22-2−2i2i−2i2i00000000−2i−2i2i2i00000000000000000000-22-2200000000000000000000002i−2i
χ4122-2-222-2-2222-22-22-22-22-2-2-2-222002i−2i002-2-22-2-2200002i−2i002i−2i0000002i2i−2i−2i00000000000022-2-22i−2i−2i2i000000000000000000000000
χ4222-2-222-2-2222-22-22-22-22-2-2-2-222002i−2i002-2-22-2-2200002i−2i002i−2i0000002i2i−2i−2i000000000000-2-222−2i2i2i−2i000000000000000000000000
χ4322-2-222-2-2222-22-22-22-22-2-2-2-22200−2i2i002-2-22-2-220000−2i2i00−2i2i000000−2i−2i2i2i00000000000022-2-2−2i2i2i−2i000000000000000000000000
χ4422-2-222-2-2222-22-22-22-22-2-2-2-22200−2i2i002-2-22-2-220000−2i2i00−2i2i000000−2i−2i2i2i000000000000-2-2222i−2i−2i2i000000000000000000000000
χ452-2222-2-2-222-22-222-2-2-2-222-2-222000000-2222-2-2-200000000000000000000000000002i−2i2i−2i2-22-200000000000000002i−2i2i−2i00000000
χ462-2222-2-2-222-22-222-2-2-2-222-2-222000000-2222-2-2-200000000000000000000000000002i−2i−2i2i-22-2200000000000000002i−2i−2i2i00000000
χ472-2222-2-2-222-22-222-2-2-2-222-2-222000000-2222-2-2-20000000000000000000000000000−2i2i2i−2i-22-220000000000000000−2i2i2i−2i00000000
χ482-2222-2-2-222-22-222-2-2-2-222-2-222000000-2222-2-2-20000000000000000000000000000−2i2i−2i2i2-22-20000000000000000−2i2i−2i2i00000000
χ492-2-2-22-22222-2-2-2-222-22-2-2-22222000000-2-2-2222-20000000000000000000000002-22-200002-2-22000000002-200000000002-2000000
χ502-2-2-22-22222-2-2-2-222-22-2-2-22222000000-2-2-2222-20000000000000000000000002-2-220000-222-2000000002-20000000000-22000000
χ512-2-2-22-22222-2-2-2-222-22-2-2-22222000000-2-2-2222-2000000000000000000000000-222-20000-222-200000000-2200000000002-2000000
χ522-2-2-22-22222-2-2-2-222-22-2-2-22222000000-2-2-2222-2000000000000000000000000-22-2200002-2-2200000000-220000000000-22000000
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
χ57444-4-4-44-44-244-2224-422-4-2-4-2-4-200004-4-2-222-2220000004-400-2200000000-2-2220000000000000000000000000000000000000000
χ58444-4-4-44-44-244-2224-422-4-2-4-2-4-20000-44-2-222-222000000-44002-20000000022-2-20000000000000000000000000000000000000000
χ59444-4-4-44-4-24-2-24-4-4-22-4-424242-200004-4-2-222-222000000-22004-400000000-2-2220000000000000000000000000000000000000000
χ60444-4-4-44-4-24-2-24-4-4-22-4-424242-20000-44-2-222-2220000002-200-440000000022-2-20000000000000000000000000000000000000000
χ61444-4-4-44-4-2-2-2-2-222-22222-22-22100004-411-1-11-1-1000000-2200-223i−3i3i−3i3i−3i3i−3i11-1-10000000000000000000000000000000000000000
χ62444-4-4-44-4-2-2-2-2-222-22222-22-22100004-411-1-11-1-1000000-2200-22−3i3i−3i3i−3i3i−3i3i11-1-10000000000000000000000000000000000000000
χ63444-4-4-44-4-2-2-2-2-222-22222-22-2210000-4411-1-11-1-10000002-2002-23i−3i3i−3i−3i3i−3i3i-1-1110000000000000000000000000000000000000000
χ64444-4-4-44-4-2-2-2-2-222-22222-22-2210000-4411-1-11-1-10000002-2002-2−3i3i−3i3i3i−3i3i−3i-1-1110000000000000000000000000000000000000000
χ6544-44-4-4-444-24-4-2-22-4-4-224242-4-24i−4i0000-22-222-224i−4i−2i2i00000000−2i−2i2i2i000000000000000000000000000000000000000000000000
χ6644-44-4-4-444-24-4-2-22-4-4-224242-4-2−4i4i0000-22-222-22−4i4i2i−2i000000002i2i−2i−2i000000000000000000000000000000000000000000000000
χ6744-44-4-4-44-24-2244-4224-4-2-4-2-42-24i−4i0000-22-222-22−2i2i4i−4i00000000−2i−2i2i2i000000000000000000000000000000000000000000000000
χ6844-44-4-4-44-24-2244-4224-4-2-4-2-42-2−4i4i0000-22-222-222i−2i−4i4i000000002i2i−2i−2i000000000000000000000000000000000000000000000000
χ6944-44-4-4-44-2-2-22-2-2222-22-22-22214i−4i00001-11-1-11-1−2i2i−2i2i00000000ii−i−i3-3-333i−3i3i−3i0000000000000000000000000000000000000000
χ7044-44-4-4-44-2-2-22-2-2222-22-22-22214i−4i00001-11-1-11-1−2i2i−2i2i00000000ii−i−i-333-3−3i3i−3i3i0000000000000000000000000000000000000000
χ7144-44-4-4-44-2-2-22-2-2222-22-22-2221−4i4i00001-11-1-11-12i−2i2i−2i00000000−i−iii3-3-33−3i3i−3i3i0000000000000000000000000000000000000000
χ7244-44-4-4-44-2-2-22-2-2222-22-22-2221−4i4i00001-11-1-11-12i−2i2i−2i00000000−i−iii-333-33i−3i3i−3i0000000000000000000000000000000000000000
χ7344-4-444-4-44-24-4-22-2-442-2-42-424-2004i−4i00-222-222-20000−2i2i004i−4i000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ7444-4-444-4-44-24-4-22-2-442-2-42-424-200−4i4i00-222-222-200002i−2i00−4i4i0000002i2i−2i−2i00000000000000000000000000000000000000000000
χ7544-4-444-4-4-24-224-442-2-442-42-4-2-2004i−4i00-222-222-200004i−4i00−2i2i000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ7644-4-444-4-4-24-224-442-2-442-42-4-2-200−4i4i00-222-222-20000−4i4i002i−2i0000002i2i−2i−2i00000000000000000000000000000000000000000000
χ7744-4-444-4-4-2-2-22-22-22-22-22222-21004i−4i001-1-11-1-110000−2i2i00−2i2i003-3-33ii−i−i−3i3i3i−3i0000000000000000000000000000000000000000
χ7844-4-444-4-4-2-2-22-22-22-22-22222-21004i−4i001-1-11-1-110000−2i2i00−2i2i00-333-3ii−i−i3i−3i−3i3i0000000000000000000000000000000000000000
χ7944-4-444-4-4-2-2-22-22-22-22-22222-2100−4i4i001-1-11-1-1100002i−2i002i−2i003-3-33−i−iii3i−3i−3i3i0000000000000000000000000000000000000000
χ8044-4-444-4-4-2-2-22-22-22-22-22222-2100−4i4i001-1-11-1-1100002i−2i002i−2i00-333-3−i−iii−3i3i3i−3i0000000000000000000000000000000000000000
χ814-4444-4-4-44-2-442-2-2-4-4224-2-424-20000002-2-2-222200000000000000000000000000004i−4i0000000000000000000000−2i2i0000000000
χ824-4444-4-4-44-2-442-2-2-4-4224-2-424-20000002-2-2-22220000000000000000000000000000−4i4i00000000000000000000002i−2i0000000000
χ834-4444-4-4-4-242-2-44422-4-4-242-4-2-20000002-2-2-22220000000000000000000000000000004i−4i0000000000000000000000−2i2i00000000
χ844-4444-4-4-4-242-2-44422-4-4-242-4-2-20000002-2-2-2222000000000000000000000000000000−4i4i00000000000000000000002i−2i00000000
χ854-44-4-44-4444-44-4-4-4-4444-444-4-44000000-44-4-4-4440000000000000000000000000000000000000000000000000000000000000000
χ864-44-4-44-444-2-44222-44-2-2-4-242-4-20000002-2222-2-2000000000000000000000000000000000000000000000000−2i32i300000000000000
χ874-44-4-44-444-2-44222-44-2-2-4-242-4-20000002-2222-2-20000000000000000000000000000000000000000000000002i3−2i300000000000000
χ884-44-4-44-44-242-2-4-4-42-24424-2-42-20000002-2222-2-20000000000000000000000000000000000000000000000000023−23000000000000
χ894-44-4-44-44-242-2-4-4-42-24424-2-42-20000002-2222-2-200000000000000000000000000000000000000000000000000−2323000000000000
χ904-4-44-444-444-4-4-44-444-444-4-44-44000000-4-44-44-440000000000000000000000000000000000000000000000000000000000000000
χ914-4-44-444-44-2-4-42-22442-242-4-2-4-200000022-22-22-20000000000000000000000000000000000000000000000−2i32i30000000000000000
χ924-4-44-444-44-2-4-42-22442-242-4-2-4-200000022-22-22-200000000000000000000000000000000000000000000002i3−2i30000000000000000
χ934-4-44-444-4-2422-44-4-2-2-44-2-4242-200000022-22-22-2000000000000000000000000000000000000000000000000000000000023−230000
χ944-4-44-444-4-2422-44-4-2-2-44-2-4242-200000022-22-22-20000000000000000000000000000000000000000000000000000000000−23230000
χ954-4-4-44-4444-2-4-422-24-4-22-424-24-2000000222-2-2-220000000000000000000000004-4000000000000000000-22000000000000000000
χ964-4-4-44-4444-2-4-422-24-4-22-424-24-2000000222-2-2-22000000000000000000000000-440000000000000000002-2000000000000000000
χ974-4-4-44-444-2422-4-44-224-42-4-24-2-2000000222-2-2-22000000000000000000000000004-40000000000000000000000000000-22000000
χ984-4-4-44-444-2422-4-44-224-42-4-24-2-2000000222-2-2-2200000000000000000000000000-4400000000000000000000000000002-2000000
χ998-8888-8-8-8-4-44-44-4-44444-4-444-42000000-2222-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-88-88-4-44-44444-4-4-44-4-4442000000-22-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-888-8-4-4444-44-4-44-4-444-442000000-2-22-22-220000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-88-888-4-44444-4-44-4444-4-4-42000000-2-2-2222-20000000000000000000000000000000000000000000000000000000000000000

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