Finite Group Databasebeta

← Group #72252317

Character table — Group #72252317

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222222222222244444444444444444444444444444444444444444444444444888888888888888888888888888888888888888888242424242424242424242424242424242424242424242424363636363636363648484848484848484848484872727272
order1222222222334444666666223444466666666666666666666666666666661212121212121212121212122466666666666666121212121212121212121212121212121212121212121212121222444444666612121212121212121212121244444444888824242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ51111111111111111111111-1-1111-1-1111111111111-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1111-1-1111111111111-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ71111111111111111111111-1-1111-1-1111111111111-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-1111-1-1111111111111-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ9111111-1-1-1-111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−ii−ii−iii−i−iii−i−iii−i−i
χ10111111-1-1-1-111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−ii−ii−i−iii−i−iii−i−iii
χ11111111-1-1-1-111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−ii−ii−i−iii−i−iiiii−i−i
χ12111111-1-1-1-111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiii−ii−iii−i−iii−i−i−i−iii
χ13111111-1-1-1-111-1-1-1-1111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-111111-11-1-1-11111-1-111-1-1-1-1-1-11111iiii−i−i−i−ii−i−iiii−i−i−i−iii−i−iii
χ14111111-1-1-1-111-1-1-1-1111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-111111-11-1-1-11111-1-111-1-1-1-1-1-11111−i−i−i−iiiii−iii−i−i−iiiii−i−iii−i−i
χ15111111-1-1-1-111-1-1-1-1111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-111-1-1111111-1-1-1-1iiii−i−i−i−i−iii−i−i−iiiii−i−i−i−iii
χ16111111-1-1-1-111-1-1-1-1111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-111-1-1111111-1-1-1-1−i−i−i−iiiiii−i−iiii−i−i−i−iiiii−i−i
χ17222222222222-2-2-2-2222222222-2-2-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ18222222222222-2-2-2-2222222-2-22-2-222222222222222-2-2-2-2222222222222222-2-2-2-22222-2-2-2-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ1922222222222-12222222-1-1-122-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ2022222222222-12222222-1-1-122-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ2122222222222-12222222-1-1-1-2-2-122-2-2222222-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111112222-2-2-2-2-2-2111111111122-2-2-2-2-1-111-1-1-1-1-1-1-1-1111111112-22-222-2-2-1-111-1-111-1-1-1-11111000000000000000000000000
χ2222222222222-12222222-1-1-1-2-2-122-2-2222222-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111112222-2-2-2-2-2-2111111111122-2-2-2-2-1-111-1-1-1-1-1-1-1-111111111-22-22-2-22211-1-111-1-11111-1-1-1-1000000000000000000000000
χ2322222222222-1-2-2-2-2222-1-1-122-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-22-22222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111111100000000−i3i3−i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ2422222222222-1-2-2-2-2222-1-1-122-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-22-22222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111111100000000i3−i3i3−i3i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ2522222222222-1-2-2-2-2222-1-1-1-2-2-1-2-222222222-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-2-22-2-2-2-21111111111-2-2222211-1-111111111-1-1-1-1-1-1-1-100000000−i3i3i3−i3−i3i3i3−i3−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ2622222222222-1-2-2-2-2222-1-1-1-2-2-1-2-222222222-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-2-22-2-2-2-21111111111-2-2222211-1-111111111-1-1-1-1-1-1-1-100000000i3−i3−i3i3i3−i3−i3i3i3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ272222222222-122222-1-1-122222-12222-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000002222-1-1-1-1-1-1-1-10000
χ282222222222-122222-1-1-122222-12222-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000-2-2-2-2111111110000
χ292222222222-122222-1-1-1222-2-2-122-2-2-1-1-1-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-2-21111-2-211111111-1-1111122-2-2-1-1-1-1-1-1-1-1111111110000000000000000000000000000000022-2-2-1-1-1-111110000
χ302222222222-122222-1-1-1222-2-2-122-2-2-1-1-1-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-2-21111-2-211111111-1-1111122-2-2-1-1-1-1-1-1-1-11111111100000000000000000000000000000000-2-2221111-1-1-1-10000
χ312222222222-12-2-2-2-2-1-1-122222-1-2-2-2-2-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211112-2-1-1-1-122-1-1-1-1-1-1-1-1111111-2-2-2-211111111111111110000000000000000000000000000000000003−33−33−33−30000
χ322222222222-12-2-2-2-2-1-1-122222-1-2-2-2-2-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211112-2-1-1-1-122-1-1-1-1-1-1-1-1111111-2-2-2-21111111111111111000000000000000000000000000000000000−33−33−33−330000
χ332222222222-12-2-2-2-2-1-1-1222-2-2-1-2-222-1-1-1-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111-221111-2-21111111111-1-1-1-1-2-22211111111-1-1-1-1-1-1-1-10000000000000000000000000000000000003−33−3−33−330000
χ342222222222-12-2-2-2-2-1-1-1222-2-2-1-2-222-1-1-1-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111-221111-2-21111111111-1-1-1-1-2-22211111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000−33−333−33−30000
χ35222222-2-2-2-2222222222222222-2-22222-2-2-2-222-2-2-2-2222222222-2-2-2-2-2-2-2-222222222222222-2-222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ36222222-2-2-2-2222222222222-2-22-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2222222-2-2-2-2222222-2-22222-2-2-2-22222-2-222-2-2-2-222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ37222222-2-2-2-22-12222222-1-1-122-1-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-12222-2-222-2-211-1-1-1-11111-2-2-2-22211111111-1-1-1-11111-1-1-1-100000000−i3i3−i3i3−i3i3−i3i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ38222222-2-2-2-22-12222222-1-1-122-1-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-12222-2-222-2-211-1-1-1-11111-2-2-2-22211111111-1-1-1-11111-1-1-1-100000000i3−i3i3−i3i3−i3i3−i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ39222222-2-2-2-22-12222222-1-1-1-2-2-1-2-2-2-222-2-2-2-2-1-111111111-1-1-1-1-111111111-1-1-1-1-1-11111222222-2-222-1-11111-1-1-1-1-2-222-2-211-1-11111-1-1-1-1-1-1-1-1111100000000−i3i3i3−i3−i3i3i3−i3i3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ40222222-2-2-2-22-12222222-1-1-1-2-2-1-2-2-2-222-2-2-2-2-1-111111111-1-1-1-1-111111111-1-1-1-1-1-11111222222-2-222-1-11111-1-1-1-1-2-222-2-211-1-11111-1-1-1-1-1-1-1-1111100000000i3−i3−i3i3i3−i3−i3i3−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ41222222-2-2-2-22-1-2-2-2-2222-1-1-122-122-2-222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-111111111-1-111111111-2-2-2-2-2222-2-211-1-1-1-111112222-2-2-1-1-1-1-1-1-1-11111-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ42222222-2-2-2-22-1-2-2-2-2222-1-1-122-122-2-222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-111111111-1-111111111-2-2-2-2-2222-2-211-1-1-1-111112222-2-2-1-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ43222222-2-2-2-22-1-2-2-2-2222-1-1-1-2-2-1222222-2-2-2-2-1-111111111-1-1-1-1-111111111-1-11111-1-1-1-1-2-2-2-22-2-2-222-1-11111-1-1-1-122-2-222-1-111-1-1-1-111111111-1-1-1-12-22-2-2-222-1-111-1-1111111-1-1-1-1000000000000000000000000
χ44222222-2-2-2-22-1-2-2-2-2222-1-1-1-2-2-1222222-2-2-2-2-1-111111111-1-1-1-1-111111111-1-11111-1-1-1-1-2-2-2-22-2-2-222-1-11111-1-1-1-122-2-222-1-111-1-1-1-111111111-1-1-1-1-22-2222-2-211-1-111-1-1-1-1-1-11111000000000000000000000000
χ45222222-2-2-2-2-122222-1-1-122222-1-2-222-1-1111122-2-2-2-22222-1-1-1-1-111111111-1-122222222-1-1-1-1-2-2-1-111-2-2-1-1-1-111111111-1-1-2-2-2-21111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ46222222-2-2-2-2-122222-1-1-122222-1-2-222-1-1111122-2-2-2-22222-1-1-1-1-111111111-1-122222222-1-1-1-1-2-2-1-111-2-2-1-1-1-111111111-1-1-2-2-2-21111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ47222222-2-2-2-2-122222-1-1-1222-2-2-1-2-2-2-2-1-1111122-2-2-2-2-2-2-2-2-1-1-1-1-111111111-1-12222-2-2-2-2-1-1-1-12211-1-1221111-1-1-1-111-1-111-2-2221111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ48222222-2-2-2-2-122222-1-1-1222-2-2-1-2-2-2-2-1-1111122-2-2-2-2-2-2-2-2-1-1-1-1-111111111-1-12222-2-2-2-2-1-1-1-12211-1-1221111-1-1-1-111-1-111-2-2221111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ49222222-2-2-2-2-12-2-2-2-2-1-1-122222-122-2-2-1-1111122-2-2-2-22222-1-1-1-1-111111111-1-1-2-2-2-2-2-2-2-21111-22-1-111-2-2-1-1-1-11111-1-1-1-1112222-1-1-1-11111-1-1-1-11111000000000000000000000000000000002i−2i2i−2i−i−iii−i−iii0000
χ50222222-2-2-2-2-12-2-2-2-2-1-1-122222-122-2-2-1-1111122-2-2-2-22222-1-1-1-1-111111111-1-1-2-2-2-2-2-2-2-21111-22-1-111-2-2-1-1-1-11111-1-1-1-1112222-1-1-1-11111-1-1-1-1111100000000000000000000000000000000−2i2i−2i2iii−i−iii−i−i0000
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Here i is the imaginary unit (i² = −1).