Finite Group Databasebeta

← Group #11790073

Character table — Group #11790073

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111111111112222222222222222222222222222222244444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212123636363636363636
order1222222244444444336666666666666612121212121212121212121212121212366666668888121212121212121224242424242424242424242424242424242424242424242424242424242424244444444488888888121212121212121212121212121212122424242424242424242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i
χ1011111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii
χ1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1−i−iiiii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iii
χ1211111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−iii−i−iii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−i
χ1311111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii
χ1411111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i
χ1511111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1ii−i−i−i−iii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i
χ1611111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111ii−i−iii−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii
χ1722222222222222222-12222-1-1-1-12-122-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-100000000
χ1822222222222222222-12222-1-1-1-12-122-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-20000000011111111000000001111111100000000
χ1922222222222222222-12222-1-1-1-12-122-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211111111111111111111000022220000-2-2-2-200000000-1-1-1-1-1-1-1-1000000001111111100000000
χ2022222222222222222-12222-1-1-1-12-122-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2111111111111111111110000-2-2-2-200002222000000001111111100000000-1-1-1-1-1-1-1-100000000
χ212222222222222222-12-1-1-1-12222-12-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022220000-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000000000
χ222222222222222222-12-1-1-1-12222-12-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-200001111111100000000111111110000000000000000
χ232222222222222222-12-1-1-1-12222-12-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-2111111111111111122220000-2-2-2-20000-1-1-1-1-1-1-1-100000000111111110000000000000000
χ242222222222222222-12-1-1-1-12222-12-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-20000222200001111111100000000-1-1-1-1-1-1-1-10000000000000000
χ2522222222-2-2-2-2-2-2-2-22-12222-1-1-1-12-122-1-1-2-2-2-2-2-2111111-2-211-1-1-1-1-1-1-1-12i2i−2i−2i111111112i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii−i−i−i−i−i−i−i−iiiiiiiii000022-2-200002i2i−2i−2i00000000-1-1-1-1111100000000−i−i−i−iiiii00000000
χ2622222222-2-2-2-2-2-2-2-22-12222-1-1-1-12-122-1-1-2-2-2-2-2-2111111-2-211-1-1-1-1-1-1-1-12i2i−2i−2i111111112i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii−i−i−i−i−i−i−i−iiiiiiiii0000-2-2220000−2i−2i2i2i000000001111-1-1-1-100000000iiii−i−i−i−i00000000
χ2722222222-2-2-2-2-2-2-2-22-12222-1-1-1-12-122-1-1-2-2-2-2-2-2111111-2-211-1-1-1-1-1-1-1-1−2i−2i2i2i11111111−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i000022-2-20000−2i−2i2i2i00000000-1-1-1-1111100000000iiii−i−i−i−i00000000
χ2822222222-2-2-2-2-2-2-2-22-12222-1-1-1-12-122-1-1-2-2-2-2-2-2111111-2-211-1-1-1-1-1-1-1-1−2i−2i2i2i11111111−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i0000-2-22200002i2i−2i−2i000000001111-1-1-1-100000000−i−i−i−iiiii00000000
χ2922222222-2-2-2-2-2-2-2-2-12-1-1-1-12222-12-1-122111111-2-2-2-2-2-211-2-2-1-1-1-1-1-1-1-12i2i−2i−2i11111111−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii22-2-200002i2i−2i−2i0000-1-1-1-1111100000000−i−i−i−iiiii0000000000000000
χ3022222222-2-2-2-2-2-2-2-2-12-1-1-1-12222-12-1-122111111-2-2-2-2-2-211-2-2-1-1-1-1-1-1-1-12i2i−2i−2i11111111−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii-2-2220000−2i−2i2i2i00001111-1-1-1-100000000iiii−i−i−i−i0000000000000000
χ3122222222-2-2-2-2-2-2-2-2-12-1-1-1-12222-12-1-122111111-2-2-2-2-2-211-2-2-1-1-1-1-1-1-1-1−2i−2i2i2i11111111iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i22-2-20000−2i−2i2i2i0000-1-1-1-1111100000000iiii−i−i−i−i0000000000000000
χ3222222222-2-2-2-2-2-2-2-2-12-1-1-1-12222-12-1-122111111-2-2-2-2-2-211-2-2-1-1-1-1-1-1-1-1−2i−2i2i2i11111111iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i-2-22200002i2i−2i−2i00001111-1-1-1-100000000−i−i−i−iiiii0000000000000000
χ332222-2-2-2-222-2-222-2-22222-2-222-2-222-2-2-2-222-2-2-2-222-2-2-2-22222222-2-2-2-22000022-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ342222-2-2-2-222-2-222-2-22222-2-222-2-222-2-2-2-222-2-2-2-222-2-2-2-22222222-2-2-2-22000022-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ352222-2-2-2-2-2-222-2-2222222-2-222-2-222-2-2-2-2-2-22222-2-22222-2-2-2-2222-2-2-2-220000-2-22222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2-22
χ362222-2-2-2-2-2-222-2-2222222-2-222-2-222-2-2-2-2-2-22222-2-22222-2-2-2-2222-2-2-2-220000-2-22222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222-2
χ3722-2-22-22-22i−2i2i−2i2i−2i2i−2i222-22-22-22-2-2-22-22-22i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i−2i2i−2i22-222-2-2-200002i−2i2i2i−2i−2i2i−2i000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300000000
χ3822-2-22-22-22i−2i2i−2i2i−2i2i−2i222-22-22-22-2-2-22-22-22i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i−2i2i−2i22-222-2-2-200002i−2i2i2i−2i−2i2i−2i00000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ1300000000
χ3922-2-22-22-22i−2i2i−2i2i−2i2i−2i2-12-22-2-11-11-212-2-112i−2i2i2i−2i−2i−ii−i−iii2i−2i−ii-1-11-1-11110000−ii−i−iii−ii0000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ230000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ130000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−i3−i3i3i333−3−300000000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1300000000
χ4022-2-22-22-22i−2i2i−2i2i−2i2i−2i2-12-22-2-11-11-212-2-112i−2i2i2i−2i−2i−ii−i−iii2i−2i−ii-1-11-1-11110000−ii−i−iii−ii0000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ230000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000i3i3−i3−i3−3−33300000000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1300000000
χ4122-2-22-22-22i−2i2i−2i2i−2i2i−2i2-12-22-2-11-11-212-2-112i−2i2i2i−2i−2i−ii−i−iii2i−2i−ii-1-11-1-11110000−ii−i−iii−ii0000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ230000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ130000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000i3i3−i3−i3−3−33300000000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1300000000
χ4222-2-22-22-22i−2i2i−2i2i−2i2i−2i2-12-22-2-11-11-212-2-112i−2i2i2i−2i−2i−ii−i−iii2i−2i−ii-1-11-1-11110000−ii−i−iii−ii0000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ230000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−i3−i3i3i333−3−300000000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1300000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.