Finite Group Databasebeta

← Group #11784236

Character table — Group #11784236

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181836363636
order1222222244444444336666666666666612121212121212121212121212121212366666668888121212121212121224242424242424242424242424242424242424242424242424242424242424244444444488888888444488881212121212121212121212121212121224242424242424242424242424242424888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
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−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1
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−i1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111
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-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111
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-1-1-1-11111−i−i−i−iiiii-1-111−i−iii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1
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−iiiiiiiii1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111
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−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-1
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-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1
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-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ1711-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11i−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-111-1-1i−ii−i1-11-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−i1-11-1
χ1811-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11i−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i-1-111-1-111−ii−ii1-11-1ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1-1-111-1-111−i−iii−i−iii-11-11
χ1911-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11i−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii11-1-111-1-1i−ii−i-11-11−i−iii−i−iiiii−i−iii−i−i-1-111-1-11111-1-111-1-1−i−iii−i−iii-11-11
χ2011-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11i−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-1-111-1-111−ii−ii-11-11−i−iii−i−iii−i−iii−i−iii-1-111-1-111-1-111-1-111ii−i−iii−i−i1-11-1
χ2111-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i11-1-111-1-1−ii−ii-11-11ii−i−iii−i−i−i−iii−i−iii-1-111-1-11111-1-111-1-1ii−i−iii−i−i-11-11
χ2211-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-111-1-111i−ii−i-11-11ii−i−iii−i−iii−i−iii−i−i-1-111-1-111-1-111-1-111−i−iii−i−iii1-11-1
χ2311-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1−ii−ii1-11-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-1−i−iii−i−iii1-11-1
χ2411-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii-1-111-1-111i−ii−i1-11-1−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1-1-111-1-111ii−i−iii−i−i-11-11
χ2511-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−iii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1-111-1
χ2611-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-1111-1-11
χ2711-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-1-1-1111-1-11
χ2811-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1-111-1
χ2911-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-11-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-11-1-11
χ3011-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-11-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−iiii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111-111-1
χ3111-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-11-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111-111-1
χ3211-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-11-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-11-1-11
χ3322222222222222222-122-1-122-1-12-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222222222000000000000-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000000000
χ3422222222222222222-122-1-122-1-12-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000111111110000000011111111000000000000
χ3522222222222222222-122-1-122-1-12-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-211-2-211-2-211-2-21111111111111111110000000022222222-2-2-2-20000000000001111111100000000-1-1-1-1-1-1-1-1000000000000
χ3622222222222222222-122-1-122-1-12-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-211-2-211-2-211-2-211111111111111111100000000-2-2-2-2-2-2-2-22222000000000000-1-1-1-1-1-1-1-10000000011111111000000000000
χ372222222222222222-12-1-122-1-122-12-1-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222220000000000002222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-100000000000000000000
χ382222222222222222-12-1-122-1-122-12-1-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-2-2-2-211111111000000001111111100000000000000000000
χ392222222222222222-12-1-122-1-122-12-1-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111-2-211-2-211-2-211-2-2111111111111111122222222000000000000-2-2-2-2-1-1-1-1-1-1-1-1000000001111111100000000000000000000
χ402222222222222222-12-1-122-1-122-12-1-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111-2-211-2-211-2-211-2-21111111111111111-2-2-2-2-2-2-2-200000000000022221111111100000000-1-1-1-1-1-1-1-100000000000000000000
χ4122222222-2-2-2-2-2-2-2-22-122-1-122-1-12-122-1-1-2-211-2-211-2-211-2-211-1-1-1-1-1-1-1-12i2i−2i−2i111111112i2i−i−i2i2i−i−i−2i−2iii−2i−2iii−i−i−i−i−i−i−i−iiiiiiiii000000002i2i2i2i−2i−2i−2i−2i22-2-2000000000000-1-1-1-1111100000000−i−i−i−iiiii000000000000
χ4222222222-2-2-2-2-2-2-2-22-122-1-122-1-12-122-1-1-2-211-2-211-2-211-2-211-1-1-1-1-1-1-1-12i2i−2i−2i111111112i2i−i−i2i2i−i−i−2i−2iii−2i−2iii−i−i−i−i−i−i−i−iiiiiiiii00000000−2i−2i−2i−2i2i2i2i2i-2-2220000000000001111-1-1-1-100000000iiii−i−i−i−i000000000000
χ4322222222-2-2-2-2-2-2-2-22-122-1-122-1-12-122-1-1-2-211-2-211-2-211-2-211-1-1-1-1-1-1-1-1−2i−2i2i2i11111111−2i−2iii−2i−2iii2i2i−i−i2i2i−i−iiiiiiiii−i−i−i−i−i−i−i−i000000002i2i2i2i−2i−2i−2i−2i-2-2220000000000001111-1-1-1-100000000−i−i−i−iiiii000000000000
χ4422222222-2-2-2-2-2-2-2-22-122-1-122-1-12-122-1-1-2-211-2-211-2-211-2-211-1-1-1-1-1-1-1-1−2i−2i2i2i11111111−2i−2iii−2i−2iii2i2i−i−i2i2i−i−iiiiiiiii−i−i−i−i−i−i−i−i00000000−2i−2i−2i−2i2i2i2i2i22-2-2000000000000-1-1-1-1111100000000iiii−i−i−i−i000000000000
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χ562222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222222-2-222-2-220000-2-222-2-22200000000000000000000000000000000-22-222-22-20000000000000000-22-222-22-2000000000000000000000000000000000000
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χ1684-4-44-444-4−4i4i4i−4i−4i4i4i−4i-2-2-22-222-22-2222-22-22i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i11-1-11-11-10000−ii−iii−ii−i0000000000000000−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ23−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ133ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ1300000000000000000000000000000000000000000000000000000000000000000000

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