Finite Group Databasebeta

← Group #11787532

Character table — Group #11787532

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111111122222222222222222222222222222222222222224444444444444444444444444444444444444444444444444488888888888888888888888888888888888836363636363636363636363636363636
order1222222233334444444466666666666666666666666666664412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222446666666666666666121212121212121212121212121212122222444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-1111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-1111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111-1-1-1-1111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111-1-1-1-1111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ9111-11-1-1-111111-1ii−i−i1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1i−i11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i
χ10111-11-1-1-111111-1ii−i−i1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1i−i11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-111−i−iii
χ11111-11-1-1-111111-1ii−i−i1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1i−i11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11−ii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i-1-111−i−iii
χ12111-11-1-1-111111-1ii−i−i1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1i−i11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11−ii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii11-1-1ii−i−i
χ13111-11-1-1-111111-1−i−iii1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii11-1-1−i−iii
χ14111-11-1-1-111111-1−i−iii1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-111ii−i−i
χ15111-11-1-1-111111-1−i−iii1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11i−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii-1-111ii−i−i
χ16111-11-1-1-111111-1−i−iii1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11i−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i11-1-1−i−iii
χ17222222222222-2-22222-2-22222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000
χ19222222222-1-1-12222222222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000
χ20222222222-1-1-12222222222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-2-2111111-2-21111110000000000000000
χ21222222222-1-1-122-2-2-2-22222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-211111122-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111110000000000000000
χ22222222222-1-1-122-2-2-2-22222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111-2-222-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000
χ23222222222-1-1-1-2-22222-2-222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2111111-2-211111122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i30000000000000000
χ24222222222-1-1-1-2-22222-2-222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2111111-2-211111122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i30000000000000000
χ25222222222-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-122-2-2111111-2-2111111-2-211111122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1000000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i30000000000000000
χ26222222222-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-122-2-2111111-2-2111111-2-211111122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1000000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i30000000000000000
χ2722222222-12-1-122222222-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-1-12-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-10000000000000000
χ2822222222-12-1-122222222-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-211-211-21111-211-21111-211-21111-211-2110000000000000000
χ2922222222-12-1-122-2-2-2-222-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-2-2-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-2111122-2-2-1-12-1-12-1-1-1-12-1-12-1-111-211-21111-211-2110000000000000000
χ3022222222-12-1-122-2-2-2-222-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-2-2-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-21111-2-22211-211-21111-211-211-1-12-1-12-1-1-1-12-1-12-1-10000000000000000
χ3122222222-12-1-1-2-22222-2-2-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-2-211-2-2111111-2-21111-1-122-1-1-1-111-2-21111-1-122-1-1-1-111-2-211110000−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000000000000000
χ3222222222-12-1-1-2-22222-2-2-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-2-211-2-2111111-2-21111-1-122-1-1-1-111-2-21111-1-122-1-1-1-111-2-211110000i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000000000000000
χ3322222222-12-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-12211-2-2111111-2-2111111-2-21111-1-122-1-1-1-111-2-21111-1-122-1-1-1-10000−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000000000000000
χ3422222222-12-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-12211-2-2111111-2-2111111-2-21111-1-122-1-1-1-111-2-21111-1-122-1-1-1-10000i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000000000000000
χ3522222222-1-12-122222222-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-120000000000000000
χ3622222222-1-12-122222222-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2111-2111-2111-2111-2111-2111-2111-2111-20000000000000000
χ3722222222-1-12-122-2-2-2-222-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-2-2-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-2111111-2-2111111-2-21122-2-2-1-1-12-1-1-12-1-1-12-1-1-12111-2111-2111-2111-20000000000000000
χ3822222222-1-12-122-2-2-2-222-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-2-2-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-2111111-2-2111111-2-211-2-222111-2111-2111-2111-2-1-1-12-1-1-12-1-1-12-1-1-120000000000000000
χ3922222222-1-12-1-2-22222-2-2-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-2-21111-2-2111111-2-211-1-1-1-122-1-11111-2-211-1-1-1-122-1-11111-2-2110000−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300000000000000000
χ4022222222-1-12-1-2-22222-2-2-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-2-21111-2-2111111-2-211-1-1-1-122-1-11111-2-211-1-1-1-122-1-11111-2-2110000i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300000000000000000
χ4122222222-1-12-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1221111-2-2111111-2-2111111-2-211-1-1-1-122-1-11111-2-211-1-1-1-122-1-10000−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300000000000000000
χ4222222222-1-12-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1221111-2-2111111-2-2111111-2-211-1-1-1-122-1-11111-2-211-1-1-1-122-1-10000i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300000000000000000
χ4322222222-1-1-1222222222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-12-12-1-1-1-1-12-12-1-1-1-1-12-12-1-1-1-1-12-12-10000000000000000
χ4422222222-1-1-1222222222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-21111-21-211111-21-211111-21-211111-21-210000000000000000
χ4522222222-1-1-1222-2-2-2-222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2111111-2-2111111-2-222-2-2-1-1-1-12-12-1-1-1-1-12-12-11111-21-211111-21-210000000000000000
χ4622222222-1-1-1222-2-2-2-222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2111111-2-2111111-2-2-2-2221111-21-211111-21-21-1-1-1-12-12-1-1-1-1-12-12-10000000000000000
χ4722222222-1-1-12-2-22222-2-2-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-2-2111111-2-2111111-2-2-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122111111-2-20000−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3−i3i3−i3i30i30−i30000000000000000
χ4822222222-1-1-12-2-22222-2-2-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-2-2111111-2-2111111-2-2-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122111111-2-20000i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3i3−i3i3−i30−i30i30000000000000000
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χ1504-4-4-444-44-2-2-24-4400004-4222222-4-4222-4-2-2-24-2-2-2-2-2-244222-4002-22-22-2-44-22-22-224-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).