Finite Group Databasebeta

← Group #11784741

Character table — Group #11784741

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order122222223344446666666666666612121212121212123666666688881212121212121212121212122424242424242424242424242424242424242424242424242424242424242424222244444466668888121212122424242424242424441212121212121212444444
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
χ511111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1
χ9111-1-1-1-111111-1-111-1-1-111-1-1-1-11-111111-1-1-1-1111-1-1-1-11ii−i−i11-11111-1-1-1-1-1iiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-11-111-1-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−iii−i−i11-1-111-1-1i−i
χ10111-1-1-1-111111-1-111-1-1-111-1-1-1-11-111111-1-1-1-1111-1-1-1-11ii−i−i11-11111-1-1-1-1-1iiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-11-1-1-11111-1-1ii−i−i11-1-1iiii−i−i−i−i−ii−i−iii-1-111-1-111−ii
χ11111-1-1-1-111111-1-111-1-1-111-1-1-1-11-111111-1-1-1-1111-1-1-1-11ii−i−i11-11111-1-1-1-1-1iiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1111-1-1-1-111−i−iii-1-111−i−i−i−iiiiii−iii−i−i11-1-1-1-111−ii
χ12111-1-1-1-111111-1-111-1-1-111-1-1-1-11-111111-1-1-1-1111-1-1-1-11ii−i−i11-11111-1-1-1-1-1iiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111-11-1-111-1-111−i−iii-1-111−i−i−i−iiiii−ii−i−iii-1-11111-1-1i−i
χ13111-1-1-1-111111-1-111-1-1-111-1-1-1-11-111111-1-1-1-1111-1-1-1-11−i−iii11-11111-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-11-111-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii−i−iii11-1-111-1-1−ii
χ14111-1-1-1-111111-1-111-1-1-111-1-1-1-11-111111-1-1-1-1111-1-1-1-11−i−iii11-11111-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-11-1-1-11111-1-1−i−iii11-1-1−i−i−i−iiiiii−iii−i−i-1-111-1-111i−i
χ15111-1-1-1-111111-1-111-1-1-111-1-1-1-11-111111-1-1-1-1111-1-1-1-11−i−iii11-11111-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111-1111-1-1-1-111ii−i−i-1-111iiii−i−i−i−i−ii−i−iii11-1-1-1-111i−i
χ16111-1-1-1-111111-1-111-1-1-111-1-1-1-11-111111-1-1-1-1111-1-1-1-11−i−iii11-11111-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111-11-1-111-1-111ii−i−i-1-111iiii−i−i−i−ii−iii−i−i-1-11111-1-1−ii
χ172222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-2000022220000-2-2-2-2000000000000000000000000
χ182222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2220000-2-2-2-200002222000000000000000000000000
χ19222222222-1222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222220000-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222222-1222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-200001111-2-2-2-21111111111110000000000000000
χ21222222222-1222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12-1-111111111-2-2-2-211111111-2-2-2-2111111112222220000-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ22222222222-1222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12-1-111111111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-20000111122221111-1-1-1-1-1-1-1-10000000000000000
χ23222222222-1-2-2-2-222222-1-1-1-1-1-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-21133−3−333−3−300003333−3−3−3−300003333−3−3−3−32222-2-20000-1-1-1-10000111133−3−333−3−30000000000000000
χ24222222222-1-2-2-2-222222-1-1-1-1-1-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-21133−3−333−3−300003333−3−3−3−300003333−3−3−3−3-2-2-2-222000011110000-1-1-1-1−3−333−3−3330000000000000000
χ25222222222-1-2-2-2-222222-1-1-1-1-1-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-211−3−333−3−3330000−3−3−3−333330000−3−3−3−333332222-2-20000-1-1-1-100001111−3−333−3−3330000000000000000
χ26222222222-1-2-2-2-222222-1-1-1-1-1-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-211−3−333−3−3330000−3−3−3−333330000−3−3−3−33333-2-2-2-222000011110000-1-1-1-133−3−333−3−30000000000000000
χ2722222222-122222-1-1-1-1-12222222-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000022220000000000000000000022-1-1-1-1-1-1-1-1000000
χ2822222222-122222-1-1-1-1-12222222-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000000000000-2-211111111000000
χ2922222222-122222-1-1-1-1-12222222-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000222200000000000000000000-2-21111-1-1-1-1000000
χ3022222222-122222-1-1-1-1-12222222-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000-2-2-2-20000000000000000000022-1-1-1-11111000000
χ31222-2-2-2-2222-2-22222-2-2-222-2-2-2-22-22-2-2-2-22222222-2-2-2-220000-2-22-2-2-2-2222220000000000000000000000000000000022-2-2-22000022-2-20000-2-222000000000000000000000000
χ32222-2-2-2-2222-2-22222-2-2-222-2-2-2-22-22-2-2-2-22222222-2-2-2-220000-2-22-2-2-2-22222200000000000000000000000000000000-2-2222-20000-2-222000022-2-2000000000000000000000000
χ33222-2-2-2-222-122-2-222-2-2-2-1-11111-1-22-1-1-1-11111-1-1-11111-12i2i−2i−2i22-2-1-1-1-111-211−i−i−i−iiiii2i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii22-2-22-20000-1-1112i2i−2i−2i-1-111−i−i−i−iiiii0000000000000000
χ34222-2-2-2-222-122-2-222-2-2-2-1-11111-1-22-1-1-1-11111-1-1-11111-12i2i−2i−2i22-2-1-1-1-111-211−i−i−i−iiiii2i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii-2-222-22000011-1-1−2i−2i2i2i11-1-1iiii−i−i−i−i0000000000000000
χ35222-2-2-2-222-122-2-222-2-2-2-1-11111-1-22-1-1-1-11111-1-1-11111-1−2i−2i2i2i22-2-1-1-1-111-211iiii−i−i−i−i−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i22-2-22-20000-1-111−2i−2i2i2i-1-111iiii−i−i−i−i0000000000000000
χ36222-2-2-2-222-122-2-222-2-2-2-1-11111-1-22-1-1-1-11111-1-1-11111-1−2i−2i2i2i22-2-1-1-1-111-211iiii−i−i−i−i−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i-2-222-22000011-1-12i2i−2i−2i11-1-1−i−i−i−iiiii0000000000000000
χ37222-2-2-2-222-1-2-22222-2-2-2-1-11111-1-221111-1-1-1-1-1-1-11111-10000-2-221111-1-12-1-1−i3−i3i3i3i3i3−i3−i30000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i322-2-2-220000-1-111000011-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ38222-2-2-2-222-1-2-22222-2-2-2-1-11111-1-221111-1-1-1-1-1-1-11111-10000-2-221111-1-12-1-1−i3−i3i3i3i3i3−i3−i30000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i3-2-2222-2000011-1-10000-1-111i3i3−i3−i3−i3−i3i3i30000000000000000
χ39222-2-2-2-222-1-2-22222-2-2-2-1-11111-1-221111-1-1-1-1-1-1-11111-10000-2-221111-1-12-1-1i3i3−i3−i3−i3−i3i3i30000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i322-2-2-220000-1-111000011-1-1i3i3−i3−i3−i3−i3i3i30000000000000000
χ40222-2-2-2-222-1-2-22222-2-2-2-1-11111-1-221111-1-1-1-1-1-1-11111-10000-2-221111-1-12-1-1i3i3−i3−i3−i3−i3i3i30000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i3-2-2222-2000011-1-10000-1-111−i3−i3i3i3i3i3−i3−i30000000000000000
χ41222-2-2-2-22-1222-2-2-1-111122-2-2-2-221-12222-2-2-2-2-1-1-11111-12i2i−2i−2i-1-11-1-1-1-1111112i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii00000022-2-2000000000000000000002i−2i−i−iii-1-111000000
χ42222-2-2-2-22-1222-2-2-1-111122-2-2-2-221-12222-2-2-2-2-1-1-11111-12i2i−2i−2i-1-11-1-1-1-1111112i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii000000-2-22200000000000000000000−2i2iii−i−i11-1-1000000
χ43222-2-2-2-22-1222-2-2-1-111122-2-2-2-221-12222-2-2-2-2-1-1-11111-1−2i−2i2i2i-1-11-1-1-1-111111−2i−2i−2i−2i2i2i2i2iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i00000022-2-200000000000000000000−2i2iii−i−i-1-111000000
χ44222-2-2-2-22-1222-2-2-1-111122-2-2-2-221-12222-2-2-2-2-1-1-11111-1−2i−2i2i2i-1-11-1-1-1-111111−2i−2i−2i−2i2i2i2i2iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i000000-2-222000000000000000000002i−2i−i−iii11-1-1000000
χ4522-222-2-2-22200002-222-22-222-2-2-2-2-20000000022-222-2-2-22−22−20000000000002−22−22−22−222−2−222−2−222−2−222−2−222−2−222−2−22-22-20000002-22-22−22−200002−22−22−22−20000000000000000
χ4622-222-2-2-22200002-222-22-222-2-2-2-2-20000000022-222-2-2-22−22−20000000000002−22−22−22−222−2−222−2−222−2−222−2−222−2−222−2−2-22-22000000-22-22−22−220000−22−22−22−220000000000000000
χ4722-222-2-2-22200002-222-22-222-2-2-2-2-20000000022-222-2-2-2−22−22000000000000−22−22−22−22−2−222−2−222−2−222−2−222−2−222−2−2222-22-20000002-22-2−22−220000−22−22−22−220000000000000000
χ4822-222-2-2-22200002-222-22-222-2-2-2-2-20000000022-222-2-2-2−22−22000000000000−22−22−22−22−2−222−2−222−2−222−2−222−2−222−2−222-22-22000000-22-222−22−200002−22−22−22−20000000000000000
χ4922-222-2-2-22-100002-222-2-11-1-1111-2-233−3−33−33−3-1-11-1-11112−22−200033−3−33−303−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ232-22-2000000-11-112−22−23−33−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ5022-222-2-2-22-100002-222-2-11-1-1111-2-233−3−33−33−3-1-11-1-11112−22−200033−3−33−303−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23-22-220000001-11-1−22−22−33−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ5122-222-2-2-22-100002-222-2-11-1-1111-2-233−3−33−33−3-1-11-1-1111−22−2200033−3−33−303−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ232-22-2000000-11-11−22−223−33−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.