Finite Group Databasebeta

← Group #11796772

Character table — Group #11796772

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222224444444444444444444444444444181818181818181824242424242424242424242411112222222222222244444444444444444444444444441818181818181818242424242424242424242424
order12442334668888121212123666661212121212122424242424242424242424242424242416161616161616162466881212242424242244266466888812121212666666121212121212242424242424242424242424242424241616161616161616246688121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ511-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-111i−i-1-1ii−i−i11-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-111i−i-1-1ii−i−i
χ611-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-11-1-1−ii11−i−iii11-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-11-1-1−ii11−i−iii
χ711-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-111−ii-1-1−i−iii11-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-111−ii-1-1−i−iii
χ811-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-11-1-1i−i11ii−i−i11-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-11-1-1i−i11ii−i−i
χ92222222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000002222222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000
χ10222222-122-12222-1-122-12-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000022-1-100-1-10000222222-122-12222-1-122-12-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000022-1-100-1-10000
χ11222222-122-12222-1-122-12-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-21100110000222222-122-12222-1-122-12-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-21100110000
χ12222222-122-1-2-2-2-2-1-122-12-1-1-1-1-1-12-1-1-1-2-2111111-2-21111110000000000−i3i300−i3i30000222222-122-1-2-2-2-2-1-122-12-1-1-1-1-1-12-1-1-1-2-2111111-2-21111110000000000−i3i300−i3i30000
χ13222222-122-1-2-2-2-2-1-122-12-1-1-1-1-1-12-1-1-1-2-2111111-2-21111110000000000i3−i300i3−i30000222222-122-1-2-2-2-2-1-122-12-1-1-1-1-1-12-1-1-1-2-2111111-2-21111110000000000i3−i300i3−i30000
χ1422222-122-12222222-1-1-1-12-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000002200-1-1-1-122222-122-12222222-1-1-1-12-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000002200-1-1-1-1
χ1522222-122-12222222-1-1-1-12-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000-2-200111122222-122-12222222-1-1-1-12-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000-2-2001111
χ1622222-122-12-2-2-2-222-1-1-1-12-1-1-1-1-1-12-1-111-2-2111111-2-211110000000000000000−i3i3−i3i322222-122-12-2-2-2-222-1-1-1-12-1-1-1-1-1-12-1-111-2-2111111-2-211110000000000000000−i3i3−i3i3
χ1722222-122-12-2-2-2-222-1-1-1-12-1-1-1-1-1-12-1-111-2-2111111-2-211110000000000000000i3−i3i3−i322222-122-12-2-2-2-222-1-1-1-12-1-1-1-1-1-12-1-111-2-2111111-2-211110000000000000000i3−i3i3−i3
χ182222-222-222000022222-2-2-2-2222-2-2-2-2000000000000000022−2−222−2−20000000000002222-222-222000022222-2-2-2-2222-2-2-2-2000000000000000022−2−222−2−2000000000000
χ192222-222-222000022222-2-2-2-2222-2-2-2-20000000000000000−2−222−2−2220000000000002222-222-222000022222-2-2-2-2222-2-2-2-20000000000000000−2−222−2−222000000000000
χ2022-2-2222-2220000-2-2-2-2222222-2-2-2-2-2-20000000000000000−i2−i2i2i2i2i2−i2−i200000000000022-2-2222-2220000-2-2-2-2222222-2-2-2-2-2-20000000000000000−i2−i2i2i2i2i2−i2−i2000000000000
χ2122-2-2222-2220000-2-2-2-2222222-2-2-2-2-2-20000000000000000i2i2−i2−i2−i2−i2i2i200000000000022-2-2222-2220000-2-2-2-2222222-2-2-2-2-2-20000000000000000i2i2−i2−i2−i2−i2i2i2000000000000
χ2222-2-2-222222-2-222-2-2-2-22-2-2-2-22-2-22222-2-2-2-2-2-2-2-2222222220000000000000000000022-2-2-222222-2-222-2-2-2-22-2-2-2-22-2-22222-2-2-2-2-2-2-2-22222222200000000000000000000
χ2322-2-2-22-122-122-2-211-2-2-1-2111-1112-1-1-122-1-1-1-1-1-1-2-2111111000000002-2-1-10011000022-2-2-22-122-122-2-211-2-2-1-2111-1112-1-1-122-1-1-1-1-1-1-2-2111111000000002-2-1-100110000
χ2422-2-2-22-122-122-2-211-2-2-1-2111-1112-1-1-122-1-1-1-1-1-1-2-211111100000000-221100-1-1000022-2-2-22-122-122-2-211-2-2-1-2111-1112-1-1-122-1-1-1-1-1-1-2-211111100000000-221100-1-10000
χ2522-2-2-22-122-1-2-22211-2-2-1-2111-1112-1-1-1-2-211111122-1-1-1-1-1-10000000000−i3i300i3−i3000022-2-2-22-122-1-2-22211-2-2-1-2111-1112-1-1-1-2-211111122-1-1-1-1-1-10000000000−i3i300i3−i30000
χ2622-2-2-22-122-1-2-22211-2-2-1-2111-1112-1-1-1-2-211111122-1-1-1-1-1-10000000000i3−i300−i3i3000022-2-2-22-122-1-2-22211-2-2-1-2111-1112-1-1-1-2-211111122-1-1-1-1-1-10000000000i3−i300−i3i30000
χ2722-2-2-2-122-1222-2-2-2-211-11-211-111-12-1-1-1-122-1-1-1-111-2-211110000000000002i−2i00−i−iii22-2-2-2-122-1222-2-2-2-211-11-211-111-12-1-1-1-122-1-1-1-111-2-211110000000000002i−2i00−i−iii
χ2822-2-2-2-122-1222-2-2-2-211-11-211-111-12-1-1-1-122-1-1-1-111-2-21111000000000000−2i2i00ii−i−i22-2-2-2-122-1222-2-2-2-211-11-211-111-12-1-1-1-122-1-1-1-111-2-21111000000000000−2i2i00ii−i−i
χ2922-2-2-2-122-12-2-222-2-211-11-211-111-12-1-111-2-21111-1-122-1-1-1-100000000000000003−3−3322-2-2-2-122-12-2-222-2-211-11-211-111-12-1-111-2-21111-1-122-1-1-1-100000000000000003−3−33
χ3022-2-2-2-122-12-2-222-2-211-11-211-111-12-1-111-2-21111-1-122-1-1-1-10000000000000000−333−322-2-2-2-122-12-2-222-2-211-11-211-111-12-1-111-2-21111-1-122-1-1-1-10000000000000000−333−3
χ312-22i−2i0220-2-22−2−i2i22i−2i2i−2i20000-22i−2i00002−22−222−2−2−i2i2−i2i2−i2−i2i2i2ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ430000000000002-22i−2i0220-2-22−2−i2i22i−2i2i−2i20000-22i−2i00002−22−222−2−2−i2i2−i2i2−i2−i2i2i2ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43000000000000
χ322-22i−2i0220-2-22−2−i2i22i−2i2i−2i20000-22i−2i00002−22−222−2−2−i2i2−i2i2−i2−i2i2i2−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ430000000000002-22i−2i0220-2-22−2−i2i22i−2i2i−2i20000-22i−2i00002−22−222−2−2−i2i2−i2i2−i2−i2i2i2−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43000000000000
χ332-22i−2i0220-2-2−22i2−i22i−2i2i−2i20000-22i−2i0000−22−22−2−222i2−i2i2−i2i2i2−i2−i2−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ470000000000002-22i−2i0220-2-2−22i2−i22i−2i2i−2i20000-22i−2i0000−22−22−2−222i2−i2i2−i2i2i2−i2−i2−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47000000000000
χ342-22i−2i0220-2-2−22i2−i22i−2i2i−2i20000-22i−2i0000−22−22−2−222i2−i2i2−i2i2i2−i2−i2ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ470000000000002-22i−2i0220-2-2−22i2−i22i−2i2i−2i20000-22i−2i0000−22−22−2−222i2−i2i2−i2i2i2−i2−i2ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47000000000000
χ352-2−2i2i0220-2-22−2i2−i2−2i2i−2i2i20000-2−2i2i00002−22−222−2−2i2−i2i2−i2i2i2−i2−i2−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ470000000000002-2−2i2i0220-2-22−2i2−i2−2i2i−2i2i20000-2−2i2i00002−22−222−2−2i2−i2i2−i2i2i2−i2−i2−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47000000000000
χ362-2−2i2i0220-2-22−2i2−i2−2i2i−2i2i20000-2−2i2i00002−22−222−2−2i2−i2i2−i2i2i2−i2−i2ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ470000000000002-2−2i2i0220-2-22−2i2−i2−2i2i−2i2i20000-2−2i2i00002−22−222−2−2i2−i2i2−i2i2i2−i2−i2ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47000000000000
χ372-2−2i2i0220-2-2−22−i2i2−2i2i−2i2i20000-2−2i2i0000−22−22−2−222−i2i2−i2i2−i2−i2i2i2ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ430000000000002-2−2i2i0220-2-2−22−i2i2−2i2i−2i2i20000-2−2i2i0000−22−22−2−222−i2i2−i2i2−i2−i2i2i2ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43000000000000
χ382-2−2i2i0220-2-2−22−i2i2−2i2i−2i2i20000-2−2i2i0000−22−22−2−222−i2i2−i2i2−i2−i2i2i2−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ430000000000002-2−2i2i0220-2-2−22−i2i2−2i2i−2i2i20000-2−2i2i0000−22−22−2−222−i2i2−i2i2−i2−i2i2i2−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43000000000000
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χ4044444-2-24-2-2-4-4-4-4-2-2-2-21-2-211111-2-2112222-1-1-1-12222-1-1-1-10000000000000000000044444-2-24-2-2-4-4-4-4-2-2-2-21-2-211111-2-2112222-1-1-1-12222-1-1-1-100000000000000000000
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χ4944-4-4-4-2-24-2-244-4-42222122-1-11-1-1-2-211-2-2-2-211112222-1-1-1-10000000000000000000044-4-4-4-2-24-2-244-4-42222122-1-11-1-1-2-211-2-2-2-211112222-1-1-1-100000000000000000000
χ5044-4-4-4-2-24-2-2-4-4442222122-1-11-1-1-2-2112222-1-1-1-1-2-2-2-211110000000000000000000044-4-4-4-2-24-2-2-4-4442222122-1-11-1-1-2-2112222-1-1-1-1-2-2-2-2111100000000000000000000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.