Finite Group Databasebeta

← Group #11787404

Character table — Group #11787404

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order12224444223344666666121212121212121236666666121212121212121266881212242424242424242424242424242424242244444488888888121212121212121224242424242424248888661212242424248824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−ii−i1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i−i−iii-1-111iiii−i−i−i−i-1-1-1-11111−i−iii11-1-1−i−iii−ii-11
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iiiii−i−i11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii-1-111ii−i−i−ii-11
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i-1-111−i−iiii−i1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iiiii−i−i-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-1ii−i−ii−i-11
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii−ii1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii-1-111ii−i−i−ii1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i−i−iii11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i-1-111−i−iiii−i-11
χ1722222222222-12222-1-12-1-1-122-1-122-122-1-1-1-1-12-1-1-1-1-1-12-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ1822222222222-12222-1-12-1-1-122-1-122-122-1-1-1-1-12-1-1-1-1-1-12-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000011111111000000000000111100000000
χ1922222222222-12222-1-12-1-1-122-1-122-122-1-1-1-1-12-1-1-1-1-1-12-1-1-2-2-1-1-2-211-2-211111111112222-2-2-2-20000000011111111000000000000-1-1-1-100000000
χ2022222222222-12222-1-12-1-1-122-1-122-122-1-1-1-1-12-1-1-1-1-1-12-1-1-2-2-1-1-2-211-2-21111111111-2-2-2-2222200000000-1-1-1-1-1-1-1-1000000000000111100000000
χ212222222222-1222-1-122-1222-1-122-1-1-1-1-12-1-1-12-122-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1000000002222222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ222222222222-1222-1-122-1222-1-122-1-1-1-1-12-1-1-12-122-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-200000000111111110000000011110000
χ232222222222-1222-1-122-1222-1-122-1-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-2-2-1-111-2-211-2-211111111000000002222-2-2-2-2000000001111111100000000-1-1-1-10000
χ242222222222-1222-1-122-1222-1-122-1-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-2-2-1-111-2-211-2-21111111100000000-2-2-2-2222200000000-1-1-1-1-1-1-1-10000000011110000
χ2522222222-2-222-2-2222222222222222-2-2-2222-2-2-2-22222-2-2-200-2-2000000000000000000000000000000000000000000000000222200000000-2-200
χ2622222222-2-222-2-2222222222222222-2-2-2222-2-2-2-22222-2-2-200-2-2000000000000000000000000000000000000000000000000-2-2-2-2000000002200
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000000000000000000000002i2i−2i−2i00000000−2i2i00
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000000000000000000000−2i−2i2i2i000000002i−2i00
χ292222-2-2-2-2-2-22-12222-1-12-111-2-211-2-2-1-2-21-1-1-112-1-111112112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii22-2-22i2i−2i−2i00000000−i−i−i−iiiii000000000000-1-11100000000
χ302222-2-2-2-2-2-22-12222-1-12-111-2-211-2-2-1-2-21-1-1-112-1-111112112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii-2-222−2i−2i2i2i00000000iiii−i−i−i−i00000000000011-1-100000000
χ312222-2-2-2-2-2-22-12222-1-12-111-2-211-2-2-1-2-21-1-1-112-1-11111211−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i22-2-2−2i−2i2i2i00000000iiii−i−i−i−i000000000000-1-11100000000
χ322222-2-2-2-2-2-22-12222-1-12-111-2-211-2-2-1-2-21-1-1-112-1-11111211−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i-2-2222i2i−2i−2i00000000−i−i−i−iiiii00000000000011-1-100000000
χ332222-2-2-2-2-2-2-1222-1-122-12-2-211-2-211-111-2-1-1-1-2-1221111-1112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii000000002i2i−2i−2i22-2-200000000-1-1-1-1111100000000−i−iii0000
χ342222-2-2-2-2-2-2-1222-1-122-12-2-211-2-211-111-2-1-1-1-2-1221111-1112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii00000000−2i−2i2i2i-2-222000000001111-1-1-1-100000000ii−i−i0000
χ352222-2-2-2-2-2-2-1222-1-122-12-2-211-2-211-111-2-1-1-1-2-1221111-111−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i000000002i2i−2i−2i-2-222000000001111-1-1-1-100000000−i−iii0000
χ362222-2-2-2-2-2-2-1222-1-122-12-2-211-2-211-111-2-1-1-1-2-1221111-111−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i00000000−2i−2i2i2i22-2-200000000-1-1-1-1111100000000ii−i−i0000
χ3722-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i20002-2-200002i−2i2i−2i0000000000000000000000000001+i−1−i1−i−1+i00002−2−i2i21+i1+i−1−i−1−i1−i1−i−1+i−1+i22−2−2−i2−i2i2i22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000
χ3822-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i20002-2-200002i−2i2i−2i0000000000000000000000000001+i−1−i1−i−1+i0000−22i2−i21+i1+i−1−i−1−i1−i1−i−1+i−1+i−2−222i2i2−i2−i2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000
χ3922-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i20002-2-200002i−2i2i−2i000000000000000000000000000−1−i1+i−1+i1−i00002−2−i2i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i22−2−2−i2−i2i2i2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000
χ4022-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i20002-2-200002i−2i2i−2i000000000000000000000000000−1−i1+i−1+i1−i0000−22i2−i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2−222i2i2−i2−i22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000
χ4122-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i20002-2-20000−2i2i−2i2i0000000000000000000000000001−i−1+i1+i−1−i00002−2i2−i21−i1−i−1+i−1+i1+i1+i−1−i−1−i22−2−2i2i2−i2−i2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ4222-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i20002-2-20000−2i2i−2i2i0000000000000000000000000001−i−1+i1+i−1−i0000−22−i2i21−i1−i−1+i−1+i1+i1+i−1−i−1−i−2−222−i2−i2i2i22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
χ4322-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i20002-2-20000−2i2i−2i2i000000000000000000000000000−1+i1−i−1−i1+i00002−2i2−i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i22−2−2i2i2−i2−i22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
χ4422-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i20002-2-20000−2i2i−2i2i000000000000000000000000000−1+i1−i−1−i1+i0000−22−i2i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2−222−i2−i2i2i2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ452-2-2222-2-22-2222-2-2-2-2-222-2-22222-2-222-22-2-22-222-2-2-222-22-2002-20000000000000000000000002i−2i2i−2i00000000000000000000000000002i−2i2i−2i0000
χ462-2-2222-2-22-2222-2-2-2-2-222-2-22222-2-222-22-2-22-222-2-2-222-22-2002-2000000000000000000000000−2i2i−2i2i0000000000000000000000000000−2i2i−2i2i0000
χ472-2-2222-2-22-2-122-211-2-2-12-2-2-1-12211-1-11211-1-2-12-211-1-11-1100-11−i3i300−i3i300−i3−i3i3i3−i3−i3i3i3000000002i−2i2i−2i0000000000003−33−33−33−300000000−ii−ii0000
χ482-2-2222-2-22-2-122-211-2-2-12-2-2-1-12211-1-11211-1-2-12-211-1-11-1100-11−i3i300−i3i300−i3−i3i3i3−i3−i3i3i300000000−2i2i−2i2i000000000000−33−33−33−3300000000i−ii−i0000
χ492-2-2222-2-22-2-122-211-2-2-12-2-2-1-12211-1-11211-1-2-12-211-1-11-1100-11i3−i300i3−i300i3i3−i3−i3i3i3−i3−i3000000002i−2i2i−2i000000000000−33−33−33−3300000000−ii−ii0000
χ502-2-2222-2-22-2-122-211-2-2-12-2-2-1-12211-1-11211-1-2-12-211-1-11-1100-11i3−i300i3−i300i3i3−i3−i3i3i3−i3−i300000000−2i2i−2i2i0000000000003−33−33−33−300000000i−ii−i0000
χ512-2-2222-2-2-2222-22-2-2-2-222-2-22222-2-22-22-2-2-222-2-22-2-2222-2200-2200000000000000002-22-2000000000000000000000000000000002-22-200000000
χ522-2-2222-2-2-2222-22-2-2-2-222-2-22222-2-22-22-2-2-222-2-22-2-2222-2200-220000000000000000-22-2200000000000000000000000000000000-22-2200000000
χ532-2-2222-2-2-222-1-22-2-2112-11122-1-1-2-2-1-22111-1-1-21-111-1-121-1001-100−i3i300−i3i3−i3i3−i3i3−i3i3−i3i32-22-2000000000000−i3i3−i3i3−i3i3−i3i3000000000000-11-1100000000
χ542-2-2222-2-2-222-1-22-2-2112-11122-1-1-2-2-1-22111-1-1-21-111-1-121-1001-100−i3i300−i3i3−i3i3−i3i3−i3i3−i3i3-22-22000000000000i3−i3i3−i3i3−i3i3−i30000000000001-11-100000000
χ552-2-2222-2-2-222-1-22-2-2112-11122-1-1-2-2-1-22111-1-1-21-111-1-121-1001-100i3−i300i3−i3i3−i3i3−i3i3−i3i3−i32-22-2000000000000i3−i3i3−i3i3−i3i3−i3000000000000-11-1100000000
χ562-2-2222-2-2-222-1-22-2-2112-11122-1-1-2-2-1-22111-1-1-21-111-1-121-1001-100i3−i300i3−i3i3−i3i3−i3i3−i3i3−i3-22-22000000000000−i3i3−i3i3−i3i3−i3i30000000000001-11-100000000
χ572-2-22-2-2222-222-22-2-2-2-22222-2-2-2-22222-22-2-22-2-2-2222-2-222-200-2200000000000000002-2-22000000000000000000000000000000002-2-2200000000
χ582-2-22-2-2222-222-22-2-2-2-22222-2-2-2-22222-22-2-22-2-2-2222-2-222-200-220000000000000000-222-200000000000000000000000000000000-222-200000000
χ592-2-22-2-2222-22-1-22-2-2112-1-1-1-2-21122-12-2-111-11-21-1-1-1112-11001-1003−300−333−33−3−33−332-2-220000000000003−33−3−33−33000000000000-111-100000000
χ602-2-22-2-2222-22-1-22-2-2112-1-1-1-2-21122-12-2-111-11-21-1-1-1112-11001-1003−300−333−33−3−33−33-222-2000000000000−33−333−33−30000000000001-1-1100000000
χ612-2-22-2-2222-22-1-22-2-2112-1-1-1-2-21122-12-2-111-11-21-1-1-1112-11001-100−33003−3−33−333−33−32-2-22000000000000−33−333−33−3000000000000-111-100000000
χ622-2-22-2-2222-22-1-22-2-2112-1-1-1-2-21122-12-2-111-11-21-1-1-1112-11001-100−33003−3−33−333−33−3-222-20000000000003−33−3−33−330000000000001-1-1100000000
χ632-2-22-2-222-22222-2-2-2-2-22222-2-2-2-2222-22-2-2-22222-222-2-2-2-22002-20000000000000000000000002-2-2200000000000000000000000000002-2-220000
χ642-2-22-2-222-22222-2-2-2-2-22222-2-2-2-2222-22-2-2-22222-222-2-2-2-22002-2000000000000000000000000-222-20000000000000000000000000000-222-20000
χ652-2-22-2-222-22-122-211-2-2-122211-2-2-1-1-11-1-211-12-12-2-1-11111-100-113−300−330033−3−3−3−333000000002-2-22000000000000−33−333−33−300000000-111-10000
χ662-2-22-2-222-22-122-211-2-2-122211-2-2-1-1-11-1-211-12-12-2-1-11111-100-113−300−330033−3−3−3−33300000000-222-20000000000003−33−3−33−33000000001-1-110000
χ672-2-22-2-222-22-122-211-2-2-122211-2-2-1-1-11-1-211-12-12-2-1-11111-100-11−33003−300−3−33333−3−3000000002-2-220000000000003−33−3−33−3300000000-111-10000
χ682-2-22-2-222-22-122-211-2-2-122211-2-2-1-1-11-1-211-12-12-2-1-11111-100-11−33003−300−3−33333−3−300000000-222-2000000000000−33−333−33−3000000001-1-110000
χ694444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-21111-2114411-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000000000
χ704444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-21111-211-4-41122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
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χ7444444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21222111222211112-1-100-1-100000000-333-3-333-3000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.