Finite Group Databasebeta

← Group #11787397

Character table — Group #11787397

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order122244442233446666661212121212121212223446666666121212121212121266666666661212121212121212121244448888121212121212121224242424242424248888246688121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111
χ71111111111111111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-11111
χ81111111111111111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i1-111i−i-1-1ii−i−ii−iii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1ii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii-11-1-1i−i11ii−i−i−ii−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii1-111−ii-1-1−i−iii−ii−i−iii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i-11-1-1−ii11−i−iiii−iii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i-11-1-1−ii11−i−iiii−i−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111ii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii1-111−ii-1-1−i−iii−iiii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii-11-1-1i−i11ii−i−i−iiii−i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i1-111i−i-1-1ii−i−ii−i−i−iii
χ1722222222222-12222-1-12-122-1-1-1-12222-1222-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000022-1-100-1-10000000000
χ1822222222222-12222-1-12-122-1-1-1-12222-1222-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000-2-21100110000000000
χ1922222222222-12222-1-12-122-1-1-1-122-2-2-1-2-22-1-1-1-1-1222-1-1-1-1-1-1-2-211-1-11111-2-211-1-111110000222200000000-1-1-1-1-1-1-1-10000-2-21100110000000000
χ2022222222222-12222-1-12-122-1-1-1-122-2-2-1-2-22-1-1-1-1-1222-1-1-1-1-1-1-2-211-1-11111-2-211-1-111110000-2-2-2-20000000011111111000022-1-100-1-10000000000
χ212222222222-1222-1-122-12-1-12222-1-122-122-122-1-1-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000000000002200-1-1-1-1000000
χ222222222222-1222-1-122-12-1-12222-1-122-122-122-1-1-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000111111110000000000000000-2-2001111000000
χ232222222222-1222-1-122-12-1-12222-1-1-2-2-1-2-2-122-1-1-1-1-1-12-1-1-1-1211-2-2-1-1111111-2-2-1-1111122220000-1-1-1-1-1-1-1-10000000000000000-2-2001111000000
χ242222222222-1222-1-122-12-1-12222-1-1-2-2-1-2-2-122-1-1-1-1-1-12-1-1-1-1211-2-2-1-1111111-2-2-1-11111-2-2-2-200001111111100000000000000002200-1-1-1-1000000
χ2522222222-2-222-2-22222222222222200200-2-2-2222-2-2-2-22222-20000-2-200000000-2-200000000000000000000000000002222000000000000-2-20000
χ2622222222-2-222-2-22222222222222200200-2-2-2222-2-2-2-22222-20000-2-200000000-2-20000000000000000000000000000-2-2-2-2000000000000220000
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2002002222222-2-2-2-2-2-2-2-200002200000000-2-200000000000000000000000000002i2i−2i−2i000000000000−2i2i0000
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2002002222222-2-2-2-2-2-2-2-200002200000000-2-20000000000000000000000000000−2i−2i2i2i0000000000002i−2i0000
χ292222-2-2-2-2-2-22-12222-1-12-1-2-21111-2-222-1-2-2-211-1-1-1-222-11111-122-1-111-1-1-1-1-2-211-1-11111000022-2-200000000-1-1-1-1111100002-2-1-100110000000000
χ302222-2-2-2-2-2-22-12222-1-12-1-2-21111-2-222-1-2-2-211-1-1-1-222-11111-122-1-111-1-1-1-1-2-211-1-111110000-2-222000000001111-1-1-1-10000-221100-1-10000000000
χ312222-2-2-2-2-2-22-12222-1-12-1-2-21111-2-2-2-2-122-211-1-1-1-222-11111-1-2-21111111122-1-1-1-1-1-1-1-1000022-2-200000000-1-1-1-111110000-221100-1-10000000000
χ322222-2-2-2-2-2-22-12222-1-12-1-2-21111-2-2-2-2-122-211-1-1-1-222-11111-1-2-21111111122-1-1-1-1-1-1-1-10000-2-222000000001111-1-1-1-100002-2-1-100110000000000
χ332222-2-2-2-2-2-2-1222-1-122-1211-2-2-2-21122-1-2-21-2-2-1-1-11-1-1211112-1-12211-1-1-1-111-2-2-1-111112i2i−2i−2i0000−i−i−i−iiiii00000000000000002i−2i00−i−iii000000
χ342222-2-2-2-2-2-2-1222-1-122-1211-2-2-2-21122-1-2-21-2-2-1-1-11-1-1211112-1-12211-1-1-1-111-2-2-1-11111−2i−2i2i2i0000iiii−i−i−i−i0000000000000000−2i2i00ii−i−i000000
χ352222-2-2-2-2-2-2-1222-1-122-1211-2-2-2-211-2-2-1221-2-2-1-1-11-1-121111211-2-2111111-1-122-1-1-1-1-1-12i2i−2i−2i0000−i−i−i−iiiii0000000000000000−2i2i00ii−i−i000000
χ362222-2-2-2-2-2-2-1222-1-122-1211-2-2-2-211-2-2-1221-2-2-1-1-11-1-121111211-2-2111111-1-122-1-1-1-1-1-1−2i−2i2i2i0000iiii−i−i−i−i00000000000000002i−2i00−i−iii000000
χ3722-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i2i−2i−2i2i−2i002000002-2-200002i2i−2i−2i0000000000000000000001+i−1−i1−i−1+i2−2−i2i21+i1+i−1−i−1−i1−i1−i−1+i−1+i22−2−2−i2−i2i2i22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000
χ3822-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i2i−2i−2i2i−2i002000002-2-200002i2i−2i−2i0000000000000000000001+i−1−i1−i−1+i−22i2−i21+i1+i−1−i−1−i1−i1−i−1+i−1+i−2−222i2i2−i2−i2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000
χ3922-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i2i−2i−2i2i−2i002000002-2-200002i2i−2i−2i000000000000000000000−1−i1+i−1+i1−i2−2−i2i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i22−2−2−i2−i2i2i2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000
χ4022-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i2i−2i−2i2i−2i002000002-2-200002i2i−2i−2i000000000000000000000−1−i1+i−1+i1−i−22i2−i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2−222i2i2−i2−i22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000
χ4122-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i−2i2i2i−2i2i002000002-2-20000−2i−2i2i2i0000000000000000000001−i−1+i1+i−1−i2−2i2−i21−i1−i−1+i−1+i1+i1+i−1−i−1−i22−2−2i2i2−i2−i2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000
χ4222-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i−2i2i2i−2i2i002000002-2-20000−2i−2i2i2i0000000000000000000001−i−1+i1+i−1−i−22−i2i21−i1−i−1+i−1+i1+i1+i−1−i−1−i−2−222−i2−i2i2i22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000
χ4322-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i−2i2i2i−2i2i002000002-2-20000−2i−2i2i2i000000000000000000000−1+i1−i−1−i1+i2−2i2−i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i22−2−2i2i2−i2−i22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000
χ4422-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i−2i2i2i−2i2i002000002-2-20000−2i−2i2i2i000000000000000000000−1+i1−i−1−i1+i−22−i2i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2−222−i2−i2i2i2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000
χ452-2-2222-2-22-2222-2-2-2-2-222-2-22-22-2220020022-2-2-22-22-222-22-2-200002-2000000002-200000000000000000000000000000000000000000000002i−2i2i−2i
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χ472-2-2222-2-2-2222-22-2-2-2-222-2-22-22-2222-222-2-2-22-2-222-22-22-22-222-22-2-2222-2-22-22-2-2222-2-20000000000000000000000000000000000000000000000
χ482-2-2222-2-2-2222-22-2-2-2-222-2-22-22-222-222-22-2-22-2-222-22-22-22-22-22-22-22-2-222-22-22-22-2-2220000000000000000000000000000000000000000000000
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χ622-2-22-2-2222-22-1-22-2-2112-1221-11-1-2-2-22-12-22-1111-1-2-2211-11-1-1-221-1-1111-1-12-2-111-1-1-1110000000000000000i3−i3i3−i3−i3i3−i3i3000000−i3i300i3−i30000000000
χ632-2-22-2-2222-2-12-2211-2-2-12-1-1-22-22112-2-1-22-12-211-111-1-21-11-12-112-2-11-1-1111-1-221-111-1-1000000003−33−3−33−33000000000000000000003−3−33000000
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χ1104-4-44-4-444-44-2-24-42222-2-2-2-22-22-2220010022-2-1-11-2-22-2-11-1120000-11-333-300001-13-3-330000000000000000000000000000000000000000000000
χ11188-8-88i−8i8i−8i00-4-400-44-4444−4i4i−4i−4i4i4i−4i4i002000002-2-200002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8−8i8i−8i8i00-4-400-44-44444i−4i4i4i−4i−4i4i−4i002000002-2-20000−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88i−8i−8i8i00-4-4004-44-4444i−4i−4i4i4i−4i−4i4i00200000-22-200002i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8−8i8i8i−8i00-4-4004-44-444−4i4i4i−4i−4i4i4i−4i00200000-22-20000−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000

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