Finite Group Databasebeta

← Group #11787113

Character table — Group #11787113

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444888888888888888812121212121212121212121212121212121212121212121212121212121212121212121224242424242472727272
order1244222334446666121212121212223446666666666661212121212121212121212121266666666121212121212121288888888888824242424242424242424242424242424242424242424242488242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-11-1-111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-11-1-111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111
χ71111111111111111111111-1-11-1-111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-11-1-111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ911-1-111111-1-1-11111-1-1-1-1-1-11-111-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-11-11111-1-11-1-1-111-1-1ii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−ii−iii−i−i1-11-1
χ1011-1-111111-1-1-11111-1-1-1-1-1-11-111-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-11-11111-1-11-1-1-111-1-1ii−i−iii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−ii−i−iii-11-11
χ1111-1-111111-1-1-11111-1-1-1-1-1-11-111-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-11-11111-1-11-1-1-111-1-1−i−iii−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiii−iii−i−i-11-11
χ1211-1-111111-1-1-11111-1-1-1-1-1-11-111-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-11-11111-1-11-1-1-111-1-1−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−ii−i−iii1-11-1
χ1311-1-111111-1-1-11111-1-1-1-1-1-1-111-1111111-1-111111-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-11-1-1-1-111ii−i−i−i−iiiii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−ii−i−iii1-1-11
χ1411-1-111111-1-1-11111-1-1-1-1-1-1-111-1111111-1-111111-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-11-1-1-1-111ii−i−i−i−iii−i−iii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiii−iii−i−i-111-1
χ1511-1-111111-1-1-11111-1-1-1-1-1-1-111-1111111-1-111111-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-11-1-1-1-111−i−iiiii−i−iii−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−ii−i−iii-111-1
χ1611-1-111111-1-1-11111-1-1-1-1-1-1-111-1111111-1-111111-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-11-1-1-1-111−i−iiiii−i−i−i−iii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−ii−iii−i−i1-1-11
χ1722222222-1222222-12222-1-122-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ1822222222-1222222-12222-1-122-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000000011111111111111110000000000
χ1922222222-1222222-12222-1-1-2-2-1-2-222-1-1-11111-1-1-122-1-1-11111-1-1-1-1-2-2-1-11111-2-2-1-111112222-2-2-2-2000000000000-1-1-1-1-1-1-1-1111111110000000000
χ2022222222-1222222-12222-1-1-2-2-1-2-222-1-1-11111-1-1-122-1-1-11111-1-1-1-1-2-2-1-11111-2-2-1-11111-2-2-2-2222200000000000011111111-1-1-1-1-1-1-1-10000000000
χ212222222-12222-1-1-12-1-1-1-12222-122-1-12222222-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1000000000000000022-1-1-1-10000
χ222222222-12222-1-1-12-1-1-1-12222-122-1-12222222-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2111111110000000000000000-2-211110000
χ232222222-12222-1-1-12-1-1-1-122-2-2-1-2-2-1-1222-2-2-2-2-1-1-1-1-1222-2-2-2-2-1-1-1-111-1-1111111-1-11111000000002222-1-1-1-1-1-1-1-10000000000000000-2-211110000
χ242222222-12222-1-1-12-1-1-1-122-2-2-1-2-2-1-1222-2-2-2-2-1-1-1-1-1222-2-2-2-2-1-1-1-111-1-1111111-1-1111100000000-2-2-2-211111111000000000000000022-1-1-1-10000
χ2522222-2-222-2-2222222222222-22-22-2-22-2-222-2-2222-2-22-2-2-2-22222222-2-2-222-2-2-22-2-2-2-2220000000000000000000000000000000000000000000000
χ2622222-2-222-2-222222222222-2222-2-2-22-2-2-2-222222-2-22-2-222-2-22222-22-2-2-2-2222-2-2-222-2-20000000000000000000000000000000000000000000000
χ2722222-2-22-1-2-22222-12222-1-12-2-1-22-2-2-111-1-111-1-1-1-2-2-11111-1-1-1-1-1-12-211-1-111-221111-1-100000000000000000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000
χ2822222-2-22-1-2-22222-12222-1-12-2-1-22-2-2-111-1-111-1-1-1-2-2-11111-1-1-1-1-1-12-211-1-111-221111-1-100000000000000000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000
χ2922222-2-22-1-2-22222-12222-1-1-22-12-2-2-2-11111-1-1-1-1-1-2-2-111-1-111-1-1-1-1-221111-1-12-211-1-11100000000000000000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000
χ3022222-2-22-1-2-22222-12222-1-1-22-12-2-2-2-11111-1-1-1-1-1-2-2-111-1-111-1-1-1-1-221111-1-12-211-1-11100000000000000000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000
χ3122222-2-2-12-2-22-1-1-12-1-1-1-1222-2-1-22112-2-222-2-2-1-1-1112-2-2-2-222-1-1-1-1-1111-1-1111-11111-1-1000000000000−i3−i3i3i3−i3−i3i3i3000000000000000000−i3i3−i3i30000
χ3222222-2-2-12-2-22-1-1-12-1-1-1-1222-2-1-22112-2-222-2-2-1-1-1112-2-2-2-222-1-1-1-1-1111-1-1111-11111-1-1000000000000i3i3−i3−i3i3i3−i3−i3000000000000000000i3−i3i3−i30000
χ3322222-2-2-12-2-22-1-1-12-1-1-1-122-22-12-2112-2-2-2-222-1-1-1112-2-222-2-2-1-1-1-11-11111-1-1-1111-1-111000000000000−i3−i3i3i3−i3−i3i3i3000000000000000000i3−i3i3−i30000
χ3422222-2-2-12-2-22-1-1-12-1-1-1-122-22-12-2112-2-2-2-222-1-1-1112-2-222-2-2-1-1-1-11-11111-1-1-1111-1-111000000000000i3i3−i3−i3i3i3−i3−i3000000000000000000−i3i3−i3i30000
χ352222-22-2222-2-2-2-22222-2-222002002-2-22-20000-2-222-2-22-2000022-2-2002-20000002-2000000002-22-2000000000000000000002-22-22-22-20000000000
χ362222-22-2222-2-2-2-22222-2-222002002-2-22-20000-2-222-2-22-2000022-2-2002-20000002-200000000-22-2200000000000000000000-22-22-22-220000000000
χ372222-22-22-12-2-2-2-22-122-2-2-1-100-1002-21-11−i3i3−i3i311-12-21-11−i3i3−i3i3-1-11100-11−i3i3−i3i300-11−i3i3−i3i300002-22-2000000000000−i3i3−i3i3−i3i3−i3i3-11-11-11-110000000000
χ382222-22-22-12-2-2-2-22-122-2-2-1-100-1002-21-11−i3i3−i3i311-12-21-11−i3i3−i3i3-1-11100-11−i3i3−i3i300-11−i3i3−i3i30000-22-22000000000000i3−i3i3−i3i3−i3i3−i31-11-11-11-10000000000
χ392222-22-22-12-2-2-2-22-122-2-2-1-100-1002-21-11i3−i3i3−i311-12-21-11i3−i3i3−i3-1-11100-11i3−i3i3−i300-11i3−i3i3−i300002-22-2000000000000i3−i3i3−i3i3−i3i3−i3-11-11-11-110000000000
χ402222-22-22-12-2-2-2-22-122-2-2-1-100-1002-21-11i3−i3i3−i311-12-21-11i3−i3i3−i3-1-11100-11i3−i3i3−i300-11i3−i3i3−i30000-22-22000000000000−i3i3−i3i3−i3i3−i3i31-11-11-11-10000000000
χ412222-2-2222-22-2-2-22222-2-22200200-22-2-220000-2-22-22-2-22000022-2-200-22000000-2200002-22-200000000000000002-2-222-2-22000000000000000000
χ422222-2-2222-22-2-2-22222-2-22200200-22-2-220000-2-22-22-2-22000022-2-200-22000000-220000-22-220000000000000000-222-2-222-2000000000000000000
χ432222-2-222-1-22-2-2-22-122-2-2-1-100-100-2211-1−i3i3i3−i311-1-2211-1i3−i3−i3i3-1-111001-1−i3i3i3−i3001-1i3−i3−i3i32-22-20000000000000000-111-1-111-1−i3i3i3−i3−i3i3i3−i30000000000
χ442222-2-222-1-22-2-2-22-122-2-2-1-100-100-2211-1−i3i3i3−i311-1-2211-1i3−i3−i3i3-1-111001-1−i3i3i3−i3001-1i3−i3−i3i3-22-2200000000000000001-1-111-1-11i3−i3−i3i3i3−i3−i3i30000000000
χ452222-2-222-1-22-2-2-22-122-2-2-1-100-100-2211-1i3−i3−i3i311-1-2211-1−i3i3i3−i3-1-111001-1i3−i3−i3i3001-1−i3i3i3−i32-22-20000000000000000-111-1-111-1i3−i3−i3i3i3−i3−i3i30000000000
χ462222-2-222-1-22-2-2-22-122-2-2-1-100-100-2211-1i3−i3−i3i311-1-2211-1−i3i3i3−i3-1-111001-1i3−i3−i3i3001-1−i3i3i3−i3-22-2200000000000000001-1-111-1-11−i3i3i3−i3−i3i3i3−i30000000000
χ4722-2-22222-1-2-2-2222-1-2-2-2-2112-2-12-222-1-1-1-1-111-1-1-1-2-2111-1-11111112-2-1-1-1-1112-211-1-1112i2i−2i−2i2i2i−2i−2i000000000000−i−i−i−iiiii−i−i−i−iiiii0000000000
χ4822-2-22222-1-2-2-2222-1-2-2-2-2112-2-12-222-1-1-1-1-111-1-1-1-2-2111-1-11111112-2-1-1-1-1112-211-1-111−2i−2i2i2i−2i−2i2i2i000000000000iiii−i−i−i−iiiii−i−i−i−i0000000000
χ4922-2-22222-1-2-2-2222-1-2-2-2-211-22-1-2222-1-1-111-1-1-1-1-1-2-211111-1-11111-22-1-111-1-1-221111-1-12i2i−2i−2i−2i−2i2i2i000000000000−i−i−i−iiiiiiiii−i−i−i−i0000000000
χ5022-2-22222-1-2-2-2222-1-2-2-2-211-22-1-2222-1-1-111-1-1-1-1-1-2-211111-1-11111-22-1-111-1-1-221111-1-1−2i−2i2i2i2i2i−2i−2i000000000000iiii−i−i−i−i−i−i−i−iiiii0000000000
χ5122-2-2222-12-2-2-2-1-1-121111-2-22-2-12-2-1-122222-2-2-1-1-111-2-2-222-2-21111-11-1-1-1-111-1111-1-111000000002i2i−2i−2i−i−i−i−iiiii00000000000000002i−2i−i−iii0000
χ5222-2-2222-12-2-2-2-1-1-121111-2-22-2-12-2-1-122222-2-2-1-1-111-2-2-222-2-21111-11-1-1-1-111-1111-1-11100000000−2i−2i2i2iiiii−i−i−i−i0000000000000000−2i2iii−i−i0000
χ5322-2-2222-12-2-2-2-1-1-121111-2-2-22-1-22-1-1222-2-222-1-1-111-2-2-2-2-22211111-1-1-111-1-11-11111-1-1000000002i2i−2i−2i−i−i−i−iiiii0000000000000000−2i2iii−i−i0000
χ5422-2-2222-12-2-2-2-1-1-121111-2-2-22-1-22-1-1222-2-222-1-1-111-2-2-2-2-22211111-1-1-111-1-11-11111-1-100000000−2i−2i2i2iiiii−i−i−i−i00000000000000002i−2i−i−iii0000
χ5522-2-22-2-22222-22222-2-2-2-2-2-2222-2-2-2-22-2-2222222222-222-2-2-2-2-2-2-2-222-2-22222-2-222-2-2-2-20000000000000000000000000000000000000000000000
χ5622-2-22-2-22222-22222-2-2-2-2-2-2-2-2222-2-22-2-2-2-2-2-222222-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000
χ5722-2-22-2-22-122-2222-1-2-2-2-21122-1-2-2-2-2-111-1-1-1-1-1-1-1221-1-1111111112211-1-1-1-1-2-2-1-111110000000000000000000033−3−3−3−33333−3−3−3−3330000000000
χ5822-2-22-2-22-122-2222-1-2-2-2-21122-1-2-2-2-2-111-1-1-1-1-1-1-1221-1-1111111112211-1-1-1-1-2-2-1-1111100000000000000000000−3−33333−3−3−3−33333−3−30000000000
χ5922-2-22-2-22-122-2222-1-2-2-2-211-2-2-122-2-2-1111111-1-1-1221-1-1-1-1-1-11111-2-211111122-1-1-1-1-1-10000000000000000000033−3−3−3−333−3−33333−3−30000000000
χ6022-2-22-2-22-122-2222-1-2-2-2-211-2-2-122-2-2-1111111-1-1-1221-1-1-1-1-1-11111-2-211111122-1-1-1-1-1-100000000000000000000−3−33333−3−333−3−3−3−3330000000000
χ6122-2-22-2-2-1222-2-1-1-121111-2-222-1-2-2112-2-22222-1-1-1-1-1-222-2-2-2-21111-1-111-1-1-1-111-1-1111100000000000033−3−3−3−3330000000000000000003−3−330000
χ6222-2-22-2-2-1222-2-1-1-121111-2-222-1-2-2112-2-22222-1-1-1-1-1-222-2-2-2-21111-1-111-1-1-1-111-1-11111000000000000−3−33333−3−3000000000000000000−333−30000
χ6322-2-22-2-2-1222-2-1-1-121111-2-2-2-2-122112-2-2-2-2-2-2-1-1-1-1-1-2222222111111111111-1-1-1-1-1-1-1-100000000000033−3−3−3−333000000000000000000−333−30000
χ6422-2-22-2-2-1222-2-1-1-121111-2-2-2-2-122112-2-2-2-2-2-2-1-1-1-1-1-2222222111111111111-1-1-1-1-1-1-1-1000000000000−3−33333−3−30000000000000000003−3−330000
χ6522-2-2-22-222-222-2-222-2-222-2-2002002-2-22-20000-2-22-222-220000-2-222002-2000000-22000000002i−2i−2i2i000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000
χ6622-2-2-22-222-222-2-222-2-222-2-2002002-2-22-20000-2-22-222-220000-2-222002-2000000-2200000000−2i2i2i−2i00000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000
χ6722-2-2-22-22-1-222-2-22-1-2-2221100-1002-21-11−i3i3i3−i311-1-22-11-1−i3i3i3−i311-1-100-11−i3i3i3−i3001-1−i3i3i3−i300002i−2i−2i2i0000000000003−33−3−33−33−ii−iii−ii−i0000000000
χ6822-2-2-22-22-1-222-2-22-1-2-2221100-1002-21-11−i3i3i3−i311-1-22-11-1−i3i3i3−i311-1-100-11−i3i3i3−i3001-1−i3i3i3−i30000−2i2i2i−2i000000000000−33−333−33−3i−ii−i−ii−ii0000000000
χ6922-2-2-22-22-1-222-2-22-1-2-2221100-1002-21-11i3−i3−i3i311-1-22-11-1i3−i3−i3i311-1-100-11i3−i3−i3i3001-1i3−i3−i3i300002i−2i−2i2i000000000000−33−333−33−3−ii−iii−ii−i0000000000
χ7022-2-2-22-22-1-222-2-22-1-2-2221100-1002-21-11i3−i3−i3i311-1-22-11-1i3−i3−i3i311-1-100-11i3−i3−i3i3001-1i3−i3−i3i30000−2i2i2i−2i0000000000003−33−3−33−33i−ii−i−ii−ii0000000000
χ7122-2-2-2-22222-22-2-222-2-222-2-200200-22-2-220000-2-222-222-20000-2-22200-220000002-200002i−2i−2i2i00000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ7222-2-2-2-22222-22-2-222-2-222-2-200200-22-2-220000-2-222-222-20000-2-22200-220000002-20000−2i2i2i−2i0000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
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χ1148-8−8i8i000-4-40004i3−4i3444i−4i43−434i−4i00200000000000−2i32i3-2000000000−2i2i−232300000000000000000000000000000000000000000000000000000000000000

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