Finite Group Databasebeta

← Group #11786011

Character table — Group #11786011

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order12442223344466661212121212123444466666666121212121212121212121212121212121288882424242424242424661212121212121212121212121212888888242424242424242424242424448812121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ91111-11-111-11-11111111111111-1-1-1-1-11111-11-1-1-11111-1-1-1-11111-1111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i
χ101111-11-111-11-11111111111111-1-1-1-1-11111-11-1-1-11111-1-1-1-11111-1111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii
χ111111-11-111-11-11111111111111-1-1-1-1-11111-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111i−ii−iii−i−iii−i−i−ii−ii
χ121111-11-111-11-11111111111111-1-1-1-1-11111-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111−ii−ii−i−iii−i−iiii−ii−i
χ131111-11-111-11-111111111111-1-111-1-1-11111-11-1-1-1-1-1-1-111111111-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i−ii
χ141111-11-111-11-111111111111-1-111-1-1-11111-11-1-1-1-1-1-1-111111111-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−iii−i
χ151111-11-111-11-111111111111-1-111-1-1-11111-11-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1i−i−iiii−i−i−i−iii−iii−i
χ161111-11-111-11-111111111111-1-111-1-1-11111-11-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii
χ1722222222-1222222-1-1-12222-1222222-1-1-1-1-1-1-122-122222222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ1822222222-1222222-1-1-12222-1222222-1-1-1-1-1-1-122-122222222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ1922222222-1222222-1-1-12222-1-2-2-2-222-1-1-1-1-1-1-122-1-2-2-2-2-2-2-2-2-1-1-1-1-1000000000000-1-1-1-111111111111100000000000000000022-2-2-1-1-1-111110000
χ2022222222-1222222-1-1-12222-1-2-2-2-222-1-1-1-1-1-1-122-1-2-2-2-2-2-2-2-2-1-1-1-1-1000000000000-1-1-1-1111111111111000000000000000000-2-2221111-1-1-1-10000
χ212222222-12222-1-1-1222-1-1-1-1-12222-1-122-1-1-122-1-12-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222222-12222-1-1-1222-1-1-1-1-12222-1-122-1-1-122-1-12-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-211111111-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-21111111111110000000000000000
χ232222222-12222-1-1-1222-1-1-1-1-1-2-2-2-2-1-122-1-1-122-1-1211111111-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-21111-2-2-2-222-1-1-1-1111111110000000000000000
χ242222222-12222-1-1-1222-1-1-1-1-1-2-2-2-2-1-122-1-1-122-1-1211111111-1-1-1-12-2-2-2-211111111-1-1-1-1-2-21111-2-211112222-2-21111-1-1-1-1-1-1-1-10000000000000000
χ2522222-2-222-2-222-2-222222-2-222i−2i2i−2i2-22-22-2-2-2-22-2-22i2i−2i−2i2i2i−2i−2i22-2-220000000000002-22-22i−2i2i2i−2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ2622222-2-222-2-222-2-222222-2-22−2i2i−2i2i2-22-22-2-2-2-22-2-2−2i−2i2i2i−2i−2i2i2i22-2-220000000000002-22-2−2i2i−2i−2i2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ2722222-2-22-1-2-222-2-2-1-1-122-2-2-12i−2i2i−2i2-2-11-111112-212i2i−2i−2i2i2i−2i−2i-1-111-1000000000000-11-11−ii−i−iii−ii−i−iii00000000000000000000003−33−3−i3i3−i3i30000
χ2822222-2-22-1-2-222-2-2-1-1-122-2-2-12i−2i2i−2i2-2-11-111112-212i2i−2i−2i2i2i−2i−2i-1-111-1000000000000-11-11−ii−i−iii−ii−i−iii0000000000000000000000−33−33i3−i3i3−i30000
χ2922222-2-22-1-2-222-2-2-1-1-122-2-2-1−2i2i−2i2i2-2-11-111112-21−2i−2i2i2i−2i−2i2i2i-1-111-1000000000000-11-11i−iii−i−ii−iii−i−i00000000000000000000003−33−3i3−i3i3−i30000
χ3022222-2-22-1-2-222-2-2-1-1-122-2-2-1−2i2i−2i2i2-2-11-111112-21−2i−2i2i2i−2i−2i2i2i-1-111-1000000000000-11-11i−iii−i−ii−iii−i−i0000000000000000000000−33−33−i3i3−i3i30000
χ3122222-2-2-12-2-22-111222-1-111-12i−2i2i−2i-112-2-111-2-2-11-2−i−iii−i−iii-1-111200003333−3−3−3−3-11-112i−2i−i−iii2i−2i−i−iii00000033−3−3−i3−i3i3i3−i3−i3i3i30000000000000000
χ3222222-2-2-12-2-22-111222-1-111-12i−2i2i−2i-112-2-111-2-2-11-2−i−iii−i−iii-1-11120000−3−3−3−33333-11-112i−2i−i−iii2i−2i−i−iii000000−3−333i3i3−i3−i3i3i3−i3−i30000000000000000
χ3322222-2-2-12-2-22-111222-1-111-1−2i2i−2i2i-112-2-111-2-2-11-2ii−i−iii−i−i-1-111200003333−3−3−3−3-11-11−2i2iii−i−i−2i2iii−i−i00000033−3−3i3i3−i3−i3i3i3−i3−i30000000000000000
χ3422222-2-2-12-2-22-111222-1-111-1−2i2i−2i2i-112-2-111-2-2-11-2ii−i−iii−i−i-1-11120000−3−3−3−33333-11-11−2i2iii−i−i−2i2iii−i−i000000−3−333−i3−i3i3i3−i3−i3i3i30000000000000000
χ352222-22-22-1-22-2222-1-1-12222-122-2-2-2-21-1-1-1-11-1-2-212222-2-2-2-2-1-1-1-110000000000001111-1-1-1-1-1-11111110000000000000000002i−2i2i−2i−i−iii−i−iii0000
χ362222-22-22-1-22-2222-1-1-12222-122-2-2-2-21-1-1-1-11-1-2-212222-2-2-2-2-1-1-1-110000000000001111-1-1-1-1-1-1111111000000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ372222-22-22-1-22-2222-1-1-12222-1-2-222-2-21-1-1-1-11-1-2-21-2-2-2-22222-1-1-1-110000000000001111111111-1-1-1-1-1-10000000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ382222-22-22-1-22-2222-1-1-12222-1-2-222-2-21-1-1-1-11-1-2-21-2-2-2-22222-1-1-1-110000000000001111111111-1-1-1-1-1-1000000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ392222-22-2-12-22-2-1-1-1222-1-1-1-1-122-2-211-22-1-1-1-2211-2-1-1-1-11111-1-1-1-1-22222-1-1-1-1-1-1-1-1111122-1-1-1-1-2-2111122-2-2-2-21111-1-1-1-111110000000000000000
χ402222-22-2-12-22-2-1-1-1222-1-1-1-1-122-2-211-22-1-1-1-2211-2-1-1-1-11111-1-1-1-1-2-2-2-2-211111111111122-1-1-1-1-2-21111-2-22222-1-1-1-11111-1-1-1-10000000000000000
χ412222-22-2-12-22-2-1-1-1222-1-1-1-1-1-2-22211-22-1-1-1-2211-21111-1-1-1-1-1-1-1-1-22222-1-1-1-1-1-1-1-11111-2-2111122-1-1-1-1-2-222-2-211111111-1-1-1-10000000000000000
χ422222-22-2-12-22-2-1-1-1222-1-1-1-1-1-2-22211-22-1-1-1-2211-21111-1-1-1-1-1-1-1-1-2-2-2-2-2111111111111-2-2111122-1-1-1-122-2-222-1-1-1-1-1-1-1-111110000000000000000
χ432222-2-22222-2-22-2-222222-2-222i−2i−2i2i-22-2-22-2-22-2-2222i2i−2i−2i−2i−2i2i2i22-2-2-2000000000000-22-222i−2i2i2i−2i−2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ442222-2-22222-2-22-2-222222-2-22−2i2i2i−2i-22-2-22-2-22-2-222−2i−2i2i2i2i2i−2i−2i22-2-2-2000000000000-22-22−2i2i−2i−2i2i2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ452222-2-222-12-2-22-2-2-1-1-122-2-2-12i−2i−2i2i-2211-111-11-22-12i2i−2i−2i−2i−2i2i2i-1-11110000000000001-11-1−ii−i−iiii−iii−i−i0000000000000000000000−i3i3i3−i3−333−30000
χ462222-2-222-12-2-22-2-2-1-1-122-2-2-12i−2i−2i2i-2211-111-11-22-12i2i−2i−2i−2i−2i2i2i-1-11110000000000001-11-1−ii−i−iiii−iii−i−i0000000000000000000000i3−i3−i3i33−3−330000
χ472222-2-222-12-2-22-2-2-1-1-122-2-2-1−2i2i2i−2i-2211-111-11-22-1−2i−2i2i2i2i2i−2i−2i-1-11110000000000001-11-1i−iii−i−i−ii−i−iii0000000000000000000000−i3i3i3−i33−3−330000
χ482222-2-222-12-2-22-2-2-1-1-122-2-2-1−2i2i2i−2i-2211-111-11-22-1−2i−2i2i2i2i2i−2i−2i-1-11110000000000001-11-1i−iii−i−i−ii−i−iii0000000000000000000000i3−i3−i3i3−333−30000
χ492222-2-22-122-2-2-111222-1-111-12i−2i−2i2i1-1-2-2-1112-21-12−i−iiiii−i−i-1-111-200003333−3−3−3−31-11-12i−2i−i−iii−2i2iii−i−i000000−3−333−i3−i3i3i3i3i3−i3−i30000000000000000
χ502222-2-22-122-2-2-111222-1-111-12i−2i−2i2i1-1-2-2-1112-21-12−i−iiiii−i−i-1-111-20000−3−3−3−333331-11-12i−2i−i−iii−2i2iii−i−i00000033−3−3i3i3−i3−i3−i3−i3i3i30000000000000000
χ512222-2-22-122-2-2-111222-1-111-1−2i2i2i−2i1-1-2-2-1112-21-12ii−i−i−i−iii-1-111-200003333−3−3−3−31-11-1−2i2iii−i−i2i−2i−i−iii000000−3−333i3i3−i3−i3−i3−i3i3i30000000000000000
χ522222-2-22-122-2-2-111222-1-111-1−2i2i2i−2i1-1-2-2-1112-21-12ii−i−i−i−iii-1-111-20000−3−3−3−333331-11-1−2i2iii−i−i2i−2i−i−iii00000033−3−3−i3−i3i3i3i3i3−i3−i30000000000000000
χ5322-2-222222-2-2-22222-2-2-2-2-2-22000022222222-2-2-2-200000000-2-2-2-2-200000000000022-2-20000000000002i−2i2i−2i0000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ5422-2-222222-2-2-22222-2-2-2-2-2-22000022222222-2-2-2-200000000-2-2-2-2-200000000000022-2-2000000000000−2i2i−2i2i000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ5522-2-2222-12-2-2-2-1-1-12-2-21111-10000-1-122-1-1-12-211-2−i3i3−i3i3−i3i3−i3i31111-2000033−3−333−3−3-1-11100−i3i3−i3i300−i3i3−i3i32i−2i2i−2i003−33−3−ii−ii−ii−ii0000000000000000
χ5622-2-2222-12-2-2-2-1-1-12-2-21111-10000-1-122-1-1-12-211-2−i3i3−i3i3−i3i3−i3i31111-20000−3−333−3−333-1-11100−i3i3−i3i300−i3i3−i3i3−2i2i−2i2i00−33−33i−ii−ii−ii−i0000000000000000
χ5722-2-2222-12-2-2-2-1-1-12-2-21111-10000-1-122-1-1-12-211-2i3−i3i3−i3i3−i3i3−i31111-2000033−3−333−3−3-1-11100i3−i3i3−i300i3−i3i3−i3−2i2i−2i2i003−33−3i−ii−ii−ii−i0000000000000000
χ5822-2-2222-12-2-2-2-1-1-12-2-21111-10000-1-122-1-1-12-211-2i3−i3i3−i3i3−i3i3−i31111-20000−3−333−3−333-1-11100i3−i3i3−i300i3−i3i3−i32i−2i2i−2i00−33−33−ii−ii−ii−ii0000000000000000
χ5922-2-22-2-22222-22-2-22-2-2-2-222200002-22-22-2-2-22-22200000000-2-222-222-2-222-2-2-2-2222-2-2200000000000000002-22-2-22000000000000000000000000
χ6022-2-22-2-22222-22-2-22-2-2-2-222200002-22-22-2-2-22-22200000000-2-222-2-2-222-2-22222-2-22-2-220000000000000000-22-222-2000000000000000000000000
χ6122-2-22-2-2-1222-2-1112-2-211-1-1-10000-112-2-111-221-123−3−333−3−3311-1-1-222-2-2-1-11111-1-1-111-1003−3−33003−3−3300002-2-111-1−333−3−333−30000000000000000
χ6222-2-22-2-2-1222-2-1112-2-211-1-1-10000-112-2-111-221-123−3−333−3−3311-1-1-2-2-22211-1-1-1-111-111-1003−3−33003−3−330000-221-1-113−3−333−3−330000000000000000
χ6322-2-22-2-2-1222-2-1112-2-211-1-1-10000-112-2-111-221-12−333−3−333−311-1-1-222-2-2-1-11111-1-1-111-100−333−300−333−300002-2-111-13−3−333−3−330000000000000000
χ6422-2-22-2-2-1222-2-1112-2-211-1-1-10000-112-2-111-221-12−333−3−333−311-1-1-2-2-22211-1-1-1-111-111-100−333−300−333−30000-221-1-11−333−3−333−30000000000000000
χ6522-2-2-22-2222-222222-2-2-2-2-2-220000-2-2-22222-2-222200000000-2-2-2-22000000000000-2-2220000000000002i−2i−2i2i0000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ6622-2-2-22-2222-222222-2-2-2-2-2-220000-2-2-22222-2-222200000000-2-2-2-22000000000000-2-222000000000000−2i2i2i−2i000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ6722-2-2-22-2-122-22-1-1-12-2-21111-1000011-22-1-1-1-2-2-1-12−i3i3−i3i3i3−i3i3−i311112000033−3−333−3−311-1-100−i3i3−i3i300i3−i3i3−i32i−2i−2i2i00−33−33−ii−iii−ii−i0000000000000000
χ6822-2-2-22-2-122-22-1-1-12-2-21111-1000011-22-1-1-1-2-2-1-12−i3i3−i3i3i3−i3i3−i3111120000−3−333−3−33311-1-100−i3i3−i3i300i3−i3i3−i3−2i2i2i−2i003−33−3i−ii−i−ii−ii0000000000000000
χ6922-2-2-22-2-122-22-1-1-12-2-21111-1000011-22-1-1-1-2-2-1-12i3−i3i3−i3−i3i3−i3i311112000033−3−333−3−311-1-100i3−i3i3−i300−i3i3−i3i3−2i2i2i−2i00−33−33i−ii−i−ii−ii0000000000000000
χ7022-2-2-22-2-122-22-1-1-12-2-21111-1000011-22-1-1-1-2-2-1-12i3−i3i3−i3−i3i3−i3i3111120000−3−333−3−33311-1-100i3−i3i3−i300−i3i3−i3i32i−2i−2i2i003−33−3−ii−iii−ii−i0000000000000000
χ7122-2-2-2-2222-2222-2-22-2-2-2-22220000-22-2-22-2-2222-2-200000000-2-222222-2-222-2-2-2-222-222-20000000000000000-22-222-2000000000000000000000000
χ7222-2-2-2-2222-2222-2-22-2-2-2-22220000-22-2-22-2-2222-2-200000000-2-2222-2-222-2-22222-2-2-222-200000000000000002-22-2-22000000000000000000000000
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χ1098-88i−8i0008-4000-8004−4i4i8i−8i00-4000000004000000000000000−4i4i00000000000000000000000000000000000000000000000000000000000000000
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χ1128-8−8i8i0008-4000-80044i−4i−8i8i00-40000000040000000000000004i−4i00000000000000000000000000000000000000000000000000000000000000000
χ1138-8−8i8i000-4-40004−4i34i344i−4i4i−4i−4343200000000-22i3−2i30000000000000−2i2i23−23000000000000000000000000000000000000000000000000000000000000000
χ1148-8−8i8i000-4-400044i3−4i344i−4i4i−4i43−43200000000-2−2i32i30000000000000−2i2i−2323000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.