Finite Group Databasebeta

← Group #11786521

Character table — Group #11786521

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order122222223344446666666666666612121212121212123666666688881212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444422444466668888121212122424242424242424441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111111111-1-1
χ9111-11-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1111-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1ii−i−i11-1-111-1-111-1-11111-1-1-1-1i−iii−i−iii−i−iii−i−ii−i
χ10111-11-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1111-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1−i−iii11-1-111-1-111-1-11111-1-1-1-1−ii−i−iii−i−iii−i−iii−ii
χ11111-11-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1111-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11ii−i−i-1-111-1-111-1-111-1-1-1-11111i−iii−i−iii−i−i−i−iii−ii
χ12111-11-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1111-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11−i−iii-1-111-1-111-1-111-1-1-1-11111−ii−i−iii−i−iiiii−i−ii−i
χ13111-11-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-11-1-1111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11-1ii−i−i11-1-1-1-11111-1-1-1-1-1-11111−iiii−i−i−i−iiiii−i−i−ii
χ14111-11-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-11-1-1111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11-1−i−iii11-1-1-1-11111-1-1-1-1-1-11111i−i−i−iiiii−i−i−i−iiii−i
χ15111-11-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-11-1-1111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-11ii−i−i-1-11111-1-1-1-1111111-1-1-1-1−iiii−i−i−i−iii−i−iiii−i
χ16111-11-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-11-1-1111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-11−i−iii-1-11111-1-1-1-1111111-1-1-1-1i−i−i−iiiii−i−iii−i−i−ii
χ172222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-20000-2-2-2-200002222000000000000000000000000
χ182222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-222000022220000-2-2-2-2000000000000000000000000
χ19222222222-122222222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222220000-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222222-122222222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-200001111-2-2-2-21111111111110000000000000000
χ21222222222-122222222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12-1-111111111-2-2-2-211111111-2-2-2-2111111112222220000-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ22222222222-122222222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12-1-111111111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-20000111122221111-1-1-1-1-1-1-1-10000000000000000
χ23222222222-1-2-2-2-22222-1-1-1-1-1-12-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-21133−3−333−3−300003333−3−3−3−300003333−3−3−3−32222-2-2000011110000-1-1-1-133−3−333−3−30000000000000000
χ24222222222-1-2-2-2-22222-1-1-1-1-1-12-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-21133−3−333−3−300003333−3−3−3−300003333−3−3−3−3-2-2-2-2220000-1-1-1-100001111−3−333−3−3330000000000000000
χ25222222222-1-2-2-2-22222-1-1-1-1-1-12-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-211−3−333−3−3330000−3−3−3−333330000−3−3−3−333332222-2-2000011110000-1-1-1-1−3−333−3−3330000000000000000
χ26222222222-1-2-2-2-22222-1-1-1-1-1-12-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-211−3−333−3−3330000−3−3−3−333330000−3−3−3−33333-2-2-2-2220000-1-1-1-10000111133−3−333−3−30000000000000000
χ2722222222-122222-1-1-1-1222222-12-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000022220000000000000000000022-1-1-1-1-1-1-1-1000000
χ2822222222-122222-1-1-1-1222222-12-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000000000000-2-211111111000000
χ2922222222-122222-1-1-1-1222222-12-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000222200000000000000000000-2-2-1-1-1-11111000000
χ3022222222-122222-1-1-1-1222222-12-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000-2-2-2-200000000000000000000221111-1-1-1-1000000
χ31222-22-2-2-22222-2-222-2-222-2-2-2-222-2-22222-2-2-2-2222-2-2-2-220000-222-2-22222-2-2-20000000000000000000000000000000022-2-2-220000-2-222000022-2-2000000000000000000000000
χ32222-22-2-2-22222-2-222-2-222-2-2-2-222-2-22222-2-2-2-2222-2-2-2-220000-222-2-22222-2-2-200000000000000000000000000000000-2-2222-2000022-2-20000-2-222000000000000000000000000
χ33222-22-2-2-22-122-2-222-2-2-1-111112-1-2-2-1-1-1-11111-1-1-11111-10000-22211-1-1-1-1-21133−3−3−3−33300003333−3−3−3−30000−3−3−3−3333322-2-2-22000011-1-10000-1-11133−3−3−3−3330000000000000000
χ34222-22-2-2-22-122-2-222-2-2-1-111112-1-2-2-1-1-1-11111-1-1-11111-10000-22211-1-1-1-1-21133−3−3−3−33300003333−3−3−3−30000−3−3−3−33333-2-2222-20000-1-111000011-1-1−3−33333−3−30000000000000000
χ35222-22-2-2-22-122-2-222-2-2-1-111112-1-2-2-1-1-1-11111-1-1-11111-10000-22211-1-1-1-1-211−3−33333−3−30000−3−3−3−3333300003333−3−3−3−322-2-2-22000011-1-10000-1-111−3−33333−3−30000000000000000
χ36222-22-2-2-22-122-2-222-2-2-1-111112-1-2-2-1-1-1-11111-1-1-11111-10000-22211-1-1-1-1-211−3−33333−3−30000−3−3−3−3333300003333−3−3−3−3-2-2222-20000-1-111000011-1-133−3−3−3−3330000000000000000
χ37222-22-2-2-22-1-2-22222-2-2-1-111112-1-2-21111-1-1-1-1-1-1-11111-122-2-22-2-2-1-111112-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-21111111122-2-22-20000-1-11122-2-2-1-111-1-1-1-111110000000000000000
χ38222-22-2-2-22-1-2-22222-2-2-1-111112-1-2-21111-1-1-1-1-1-1-11111-122-2-22-2-2-1-111112-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-222-22000011-1-1-2-22211-1-11111-1-1-1-10000000000000000
χ39222-22-2-2-22-1-2-22222-2-2-1-111112-1-2-21111-1-1-1-1-1-1-11111-1-2-2222-2-2-1-111112-1-11111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-122-2-22-20000-1-111-2-222-1-1111111-1-1-1-10000000000000000
χ40222-22-2-2-22-1-2-22222-2-2-1-111112-1-2-21111-1-1-1-1-1-1-11111-1-2-2222-2-2-1-111112-1-11111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-222-22000011-1-122-2-211-1-1-1-1-1-111110000000000000000
χ41222-22-2-2-2-12-2-222-1-11122-2-2-2-2-1211-2-2-2-22222-1-1-11111-122-2-2-111-1-11111-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111110000002i2i−2i−2i000000000000000000002i−2i−i−iii−i−iii000000
χ42222-22-2-2-2-12-2-222-1-11122-2-2-2-2-1211-2-2-2-22222-1-1-11111-122-2-2-111-1-11111-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000−2i−2i2i2i00000000000000000000−2i2iii−i−iii−i−i000000
χ43222-22-2-2-2-12-2-222-1-11122-2-2-2-2-1211-2-2-2-22222-1-1-11111-1-2-222-111-1-11111-1-1-1-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-10000002i2i−2i−2i00000000000000000000−2i2i−i−iiiii−i−i000000
χ44222-22-2-2-2-12-2-222-1-11122-2-2-2-2-1211-2-2-2-22222-1-1-11111-1-2-222-111-1-11111-1-1-1-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-1000000−2i−2i2i2i000000000000000000002i−2iii−i−i−i−iii000000
χ4522-22-2-2-222200002-22-22-222-2-2-2-22-20000000022-222-2-2-2−i2i2−i2i2000000000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22i−2i2i−2i00000000002−22−22i−2i2i−2i2−22−22−22−20000000000000000
χ4622-22-2-2-222200002-22-22-222-2-2-2-22-20000000022-222-2-2-2−i2i2−i2i2000000000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2i2i−2i2i0000000000−22−22−2i2i−2i2i−22−22−22−220000000000000000
χ4722-22-2-2-222200002-22-22-222-2-2-2-22-20000000022-222-2-2-2i2−i2i2−i2000000000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22i−2i2i−2i0000000000−22−222i−2i2i−2i−22−22−22−220000000000000000
χ4822-22-2-2-222200002-22-22-222-2-2-2-22-20000000022-222-2-2-2i2−i2i2−i2000000000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2i2i−2i2i00000000002−22−2−2i2i−2i2i2−22−22−22−20000000000000000
χ4922-22-2-2-222-100002-22-2-11-1-111-212-233−3−33−33−3-1-11-1-1111−i2i2−i2i20003−333−3−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ232i−2i2i−2i000000−i3i3−i3i32−22−2−ii−iiζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ5022-22-2-2-222-100002-22-2-11-1-111-212-233−3−33−33−3-1-11-1-1111−i2i2−i2i20003−333−3−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−2i2i−2i2i000000i3−i3i3−i3−22−22i−ii−i−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ5122-22-2-2-222-100002-22-2-11-1-111-212-233−3−33−33−3-1-11-1-1111i2−i2i2−i20003−333−3−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ232i−2i2i−2i000000−i3i3−i3i3−22−22−ii−ii−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.