Finite Group Databasebeta

← Group #11790599

Character table — Group #11790599

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111111111112222222222222222222222222222222244444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212123636363636363636
order12222222444444443366666666666666121212121212121212121212121212122234466666666666666666666666121212121212121212121212121212121212121212121212224444446666888888881212121212121212121212122424242424242424242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ7111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ911111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i1111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iii1111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-111-1-11111ii−i−i−i−iii-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ1411111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-111-1-11111−i−iiiii−i−i-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ1511111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1ii−i−i−i−iii1111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ1611111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1−i−iiiii−i−i1111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ1722222222222222222-1222222-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ1822222222222222222-1222222-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111100000000111111111111000000000000000000000000
χ1922222222222222222-1222222-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-12222-2-2-1-2-2-2-2-2-21111-1-1-1-1-1-111111111-1-2-2-2-21111-1-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-10000000011111111-1-1-1-1000000000000000000000000
χ2022222222222222222-1222222-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-12222-2-2-1-2-2-2-2-2-21111-1-1-1-1-1-111111111-1-2-2-2-21111-1-1-1-1-1-1-1-111111111-2-22222-2-2111100000000-1-1-1-1-1-1-1-11111000000000000000000000000
χ212222222222222222-12-1-1-1-1-1-12222-1222-1-1-1-122222222-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ222222222222222222-12-1-1-1-1-1-12222-1222-1-1-1-122222222-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-2000000000000111111111111111100000000
χ232222222222222222-12-1-1-1-1-1-12222-1222-1-1-1-122222222-1-1-1-1-2-2-1-2-21111-2-2-2-2-1-1-1-1-1-111111111-11111-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000002222-2-2-2-2000000000000-1-1-1-1-1-1-1-11111111100000000
χ242222222222222222-12-1-1-1-1-1-12222-1222-1-1-1-122222222-1-1-1-1-2-2-1-2-21111-2-2-2-2-1-1-1-1-1-111111111-11111-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000-2-2-2-2222200000000000011111111-1-1-1-1-1-1-1-100000000
χ2522222222-2-2-2-2-2-2-2-22-1222222-1-1-1-12-1-1-1-2-2-2-211111111-2-2-2-222-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111111112222-2-2-2-2-1-1-1-100000000-1-1-1-111111111000000000000000000000000
χ2622222222-2-2-2-2-2-2-2-22-1222222-1-1-1-12-1-1-1-2-2-2-211111111-2-2-2-222-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111111111-2-2-2-222221111000000001111-1-1-1-1-1-1-1-1000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-1222222-1-1-1-12-1-1-1-2-2-2-211111111-2-2-2-2-2-2-122-2-2-2-21111-1-1-1-1-1-111111111-12222-1-1-1-111111111-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1000000001111-1-1-1-11111000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-1222222-1-1-1-12-1-1-1-2-2-2-211111111-2-2-2-2-2-2-122-2-2-2-21111-1-1-1-1-1-111111111-12222-1-1-1-111111111-1-1-1-1-1-1-1-1-2-222-2-222111100000000-1-1-1-11111-1-1-1-1000000000000000000000000
χ2922222222-2-2-2-2-2-2-2-2-12-1-1-1-1-1-12222-12221111-2-2-2-2-2-2-2-2111122-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111111110000000000002i2i−2i−2i2i2i−2i−2i000000000000−i−i−i−iiiii−i−i−i−iiiii00000000
χ3022222222-2-2-2-2-2-2-2-2-12-1-1-1-1-1-12222-12221111-2-2-2-2-2-2-2-2111122-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111000000000000−2i−2i2i2i−2i−2i2i2i000000000000iiii−i−i−i−iiiii−i−i−i−i00000000
χ3122222222-2-2-2-2-2-2-2-2-12-1-1-1-1-1-12222-12221111-2-2-2-2-2-2-2-21111-2-2-1221111-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1222211111111-1-1-1-1-1-1-1-10000000000002i2i−2i−2i−2i−2i2i2i000000000000−i−i−i−iiiiiiiii−i−i−i−i00000000
χ3222222222-2-2-2-2-2-2-2-2-12-1-1-1-1-1-12222-12221111-2-2-2-2-2-2-2-21111-2-2-1221111-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1222211111111-1-1-1-1-1-1-1-1000000000000−2i−2i2i2i2i2i−2i−2i000000000000iiii−i−i−i−i−i−i−i−iiiii00000000
χ33222-2-22-2-22i−2i2i−2i2i−2i2i−2i22222-2-2-222-2-2-22-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i0020000000000222-2-2-200000000-2000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13
χ34222-2-22-2-22i−2i2i−2i2i−2i2i−2i22222-2-2-222-2-2-22-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i0020000000000222-2-2-200000000-2000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13
χ35222-2-22-2-2−2i2i−2i2i−2i2i−2i2i22222-2-2-222-2-2-22-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i0020000000000222-2-2-200000000-200000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23
χ36222-2-22-2-2−2i2i−2i2i−2i2i−2i2i22222-2-2-222-2-2-22-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i0020000000000222-2-2-200000000-200000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23
χ3722-22-2-22-22i−2i2i−2i−2i2i−2i2i222-2-222-22-22-2-2-22-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i−2i2-222i−2i22-2-222-2-22-2-222-22222-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ3822-22-2-22-22i−2i2i−2i−2i2i−2i2i222-2-222-22-22-2-2-22-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i−2i-222−2i2i-2-222-2-2222-2-222-2-2-2-2-22222-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000000000000000
χ3922-22-2-22-22i−2i2i−2i−2i2i−2i2i2-12-2-222-2-11-11-21-112i−2i2i−2i−i−iii−i−iii2i−2i2i−2i2-2-12i−2i22-2-2-1-111-111-1-11-1-1-1-1111112i2i−2i−2i−i−iii−i−iii−i−iii−i−i−i−iiiii00000000−i3−i3i3i300000000−i3−i3i3i333−3−333−3−3000000000000000000000000
χ4022-22-2-22-22i−2i2i−2i−2i2i−2i2i2-12-2-222-2-11-11-21-112i−2i2i−2i−i−iii−i−iii2i−2i2i−2i2-2-12i−2i22-2-2-1-111-111-1-11-1-1-1-1111112i2i−2i−2i−i−iii−i−iii−i−iii−i−i−i−iiiii00000000i3i3−i3−i300000000i3i3−i3−i3−3−333−3−333000000000000000000000000
χ4122-22-2-22-22i−2i2i−2i−2i2i−2i2i2-12-2-222-2-11-11-21-112i−2i2i−2i−i−iii−i−iii2i−2i2i−2i-22-1−2i2i-2-22211-1-1-111-1-111111-1-1-1-11−2i−2i2i2iii−i−i−i−iii−i−iiiiiii−i−i−i−i00000000−i3−i3i3i300000000i3i3−i3−i3−3−33333−3−3000000000000000000000000
χ4222-22-2-22-22i−2i2i−2i−2i2i−2i2i2-12-2-222-2-11-11-21-112i−2i2i−2i−i−iii−i−iii2i−2i2i−2i-22-1−2i2i-2-22211-1-1-111-1-111111-1-1-1-11−2i−2i2i2iii−i−i−i−iii−i−iiiiiii−i−i−i−i00000000i3i3−i3−i300000000−i3−i3i3i333−3−3−3−333000000000000000000000000
χ4322-22-2-22-22i−2i2i−2i−2i2i−2i2i-12-111-1-112-22-21-22-2−ii−ii2i2i−2i−2i2i2i−2i−2i−ii−ii2-2-12i−2i-1-11122-2-2-111-1-11-1-1-1-111111−i−iii2i2i−2i−2i−i−iii−i−iii−i−i−i−iiiii00000000000000000000000000000000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300000000
χ4422-22-2-22-22i−2i2i−2i−2i2i−2i2i-12-111-1-112-22-21-22-2−ii−ii2i2i−2i−2i2i2i−2i−2i−ii−ii2-2-12i−2i-1-11122-2-2-111-1-11-1-1-1-111111−i−iii2i2i−2i−2i−i−iii−i−iii−i−i−i−iiiii00000000000000000000000000000000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300000000
χ4522-22-2-22-22i−2i2i−2i−2i2i−2i2i-12-111-1-112-22-21-22-2−ii−ii2i2i−2i−2i2i2i−2i−2i−ii−ii-22-1−2i2i11-1-1-2-222-111-1-111111-1-1-1-11ii−i−i−2i−2i2i2i−i−iii−i−iiiiiii−i−i−i−i00000000000000000000000000000000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300000000
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χ1484-4-4444-4-4−4i4i4i−4i4i−4i−4i4i4-2-4-444-4422-2-2-4-222−4i4i−4i4i2i−2i−2i2i2i−2i−2i2i4i−4i4i−4i00-2000000000022-2-22-2000000002000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1494-4-4444-4-4−4i4i4i−4i4i−4i−4i4i-2-222-2-22-222-2-22-2222i−2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i−2i2i00100−2i32i32i3−2i30000-1-111-11i3i3−i3−i3−i3−i3i3i3-1−232323−230000−iii−i−iii−i33−3−3−3−33300000000000000000000000000000000000000000000000000000000
χ1504-4-4444-4-4−4i4i4i−4i4i−4i−4i4i-2-222-2-22-222-2-22-2222i−2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i−2i2i001002i3−2i3−2i32i30000-1-111-11−i3−i3i3i3i3i3−i3−i3-123−23−23230000−iii−i−iii−i−3−33333−3−300000000000000000000000000000000000000000000000000000000
χ1514-4-4-4-444444-4-4-4-444-2422-22-22-4-4-4-4-2444-222-24-4-44-444-42-2-2200-2000000000022-22-2200000000-200000000-222-22-2-220000000000000000000000000000000000000000000000000000000000000000
χ1524-4-4-4-444444-4-4-4-444-2-222-22-222222-2-2-2-2-222-2-222-22-2-222-2-22001000000−2i32i32i3−2i3-1-11-11-1i3−i3i3−i3−i3i3−i3i310000−2i32i32i3−2i31-1-11-111-1i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1534-4-4-4-444444-4-4-4-444-2-222-22-222222-2-2-2-2-222-2-222-22-2-222-2-220010000002i3−2i3−2i32i3-1-11-11-1−i3i3−i3i3i3−i3i3−i3100002i3−2i3−2i32i31-1-11-111-1−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1544-4-4-4-4444-4-44444-4-4-2422-22-22-4-4-4-4-24442-2-22-444-44-4-44-222-200-2000000000022-22-2200000000-2000000002-2-22-222-20000000000000000000000000000000000000000000000000000000000000000
χ1554-4-4-4-4444-4-44444-4-4-2-222-22-222222-2-2-2-22-2-222-2-22-222-2-222-2001000000−2i32i32i3−2i3-1-11-11-1i3−i3i3−i3−i3i3−i3i3100002i3−2i3−2i32i3-111-11-1-11−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1564-4-4-4-4444-4-44444-4-4-2-222-22-222222-2-2-2-22-2-222-2-22-222-2-222-20010000002i3−2i3−2i32i3-1-11-11-1−i3i3−i3i3i3−i3i3−i310000−2i32i32i3−2i3-111-11-1-11i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.