Finite Group Databasebeta

← Group #72252319

Character table — Group #72252319

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111222222222222222222444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888999918181818181818181818242424242424242424242424242424243636363636363636363648484848484848484848484848484848
order1222222222334444666666222234444446666666666666666666666666661212121212121212666666666666666612121212121212121212121212121212121212121212121212121212222222222244448888888888888888222244444424242424242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111111111-1-1-1-111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111111111-1-1-1-111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii-1-1-1-1111111ii−i−iii−i−i−i−iii−i−iii
χ12111111111111-1-1-1-111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i-1-1-1-1111111−i−iii−i−iiiii−i−iii−i−i
χ13111111111111-1-1-1-1111111-1-1-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ14111111111111-1-1-1-1111111-1-1-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ15111111111111-1-1-1-1111111-1-1-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111-1-1-1-1111111-1-1-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ17111111-1-1-1-111111111111111-1-11-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111111-11-11-11-11-11-11-11-111-1-1-1-111-1-11-11-11-11-11-11-11-11-1
χ18111111-1-1-1-111111111111111-1-11-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-11-11-11-11-11-11-11-1111-1-1-1-111-1-1-11-11-11-11-11-11-11-11
χ19111111-1-1-1-111111111111111-1-11-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-1-11-11-11-11-1-11111-1-1111-11-11-11-1-11-11-11-11
χ20111111-1-1-1-111111111111111-1-11-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-111-11-11-11-1-1-11111-1-111-11-11-11-111-11-11-11-1
χ21111111-1-1-1-1111111111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111-11-1-11-111-11-1-11-11-1-111-1-1-1-1111-11-1-11-111-11-1-11-11
χ22111111-1-1-1-1111111111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-11-111-11-1-11-111-11-1-1-111-1-1-1-111-11-111-11-1-11-111-11-1
χ23111111-1-1-1-1111111111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-11-1-11-11-11-111-11-111-1-11111-1-11-11-1-11-11-11-111-11-1
χ24111111-1-1-1-1111111111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-111-11-11-11-1-11-1111-1-11111-1-1-11-111-11-11-11-1-11-11
χ25111111-1-1-1-111-1-1-1-111111111-1-1111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1i−i−iii−i−iii−i−iii−i−ii11-1-111-1-111i−i−iii−i−iii−i−iii−i−ii
χ26111111-1-1-1-111-1-1-1-111111111-1-1111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1−iii−i−iii−i−iii−i−iii−i11-1-111-1-111−iii−i−iii−i−iii−i−iii−i
χ27111111-1-1-1-111-1-1-1-111111111-1-1111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111i−i−iii−i−ii−iii−i−iii−i-1-111-1-111-1-1i−i−iii−i−ii−iii−i−iii−i
χ28111111-1-1-1-111-1-1-1-111111111-1-1111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111−iii−i−iii−ii−i−iii−i−ii-1-111-1-111-1-1−iii−i−iii−ii−i−iii−i−ii
χ29111111-1-1-1-111-1-1-1-1111111-1-11111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1i−i−ii−iii−ii−i−ii−iii−i-1-1111111-1-1i−i−ii−iii−ii−i−ii−iii−i
χ30111111-1-1-1-111-1-1-1-1111111-1-11111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1−iii−ii−i−ii−iii−ii−i−ii-1-1111111-1-1−iii−ii−i−ii−iii−ii−i−ii
χ31111111-1-1-1-111-1-1-1-1111111-1-11111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111i−i−ii−iii−i−iii−ii−i−ii11-1-1-1-1-1-111i−i−ii−iii−i−iii−ii−i−ii
χ32111111-1-1-1-111-1-1-1-1111111-1-11111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111−iii−ii−i−iii−i−ii−iii−i11-1-1-1-1-1-111−iii−ii−i−iii−i−ii−iii−i
χ3322222222222-122222-122-1-12222-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000022222222000000000000000000-1-1-1-1-1-1-1-1
χ3422222222222-122222-122-1-12222-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000-2-2-2-2-2-2-2-200000000000000000011111111
χ3522222222222-122222-122-1-1-2-2-2-2-122-2-2-2-222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-211-2-2111111111122-1-1-2-211-2-211-1-1-1-1-1-1-1-11111111100000000000000000000002222-2-2-2-2000000000000000000-1-1-1-11111
χ3622222222222-122222-122-1-1-2-2-2-2-122-2-2-2-222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-211-2-2111111111122-1-1-2-211-2-211-1-1-1-1-1-1-1-1111111110000000000000000000000-2-2-2-222220000000000000000001111-1-1-1-1
χ3722222222222-1-2-2-2-22-122-1-12222-1-2-2-2-2-2-222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111122-1-122-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-211111111111111111100000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000−i−iii−i−iii
χ3822222222222-1-2-2-2-22-122-1-12222-1-2-2-2-2-2-222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111122-1-122-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-21111111111111111110000000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000ii−i−iii−i−i
χ3922222222222-1-2-2-2-22-122-1-1-2-2-2-2-1-2-2222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-211-2-21111111111-2-21122-1-122-1-111111111-1-1-1-1-1-1-1-100000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000−i−iiiii−i−i
χ4022222222222-1-2-2-2-22-122-1-1-2-2-2-2-1-2-2222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-211-2-21111111111-2-21122-1-122-1-111111111-1-1-1-1-1-1-1-10000000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000ii−i−i−i−iii
χ412222222222-122222-12-1-1222222-1222222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022222222000000000000000000-1-1-1-1-1-1-1-100000000
χ422222222222-122222-12-1-1222222-1222222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-2-2-2-2-20000000000000000001111111100000000
χ432222222222-122222-12-1-122-2-2-2-2-122-2-2-2-2-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222211-2-211-2-211111111-1-12211-2-211-2-2-1-1-1-1-1-1-1-111111111000000000000002222-2-2-2-2000000000000000000-1-1-1-1111100000000
χ442222222222-122222-12-1-122-2-2-2-2-122-2-2-2-2-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222211-2-211-2-211111111-1-12211-2-211-2-2-1-1-1-1-1-1-1-11111111100000000000000-2-2-2-222220000000000000000001111-1-1-1-100000000
χ452222222222-12-2-2-2-2-12-1-1222222-1-2-2-2-2-2-2-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-111-2-211-2-211-2-21111111111111111000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000−i−iii−i−iii00000000
χ462222222222-12-2-2-2-2-12-1-1222222-1-2-2-2-2-2-2-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-111-2-211-2-211-2-2111111111111111100000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000ii−i−iii−i−i00000000
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χ13944-4-4-440000-2-24i−4i−4i4i-2-22222-4400100−4i4i002-22-2000000001-1-11133-3-3-3-333-1-1−2i2i2i−2i−2i2i2i−2i2-22-20000-1-111-333-300002i−2i2i−2i0000i−i−ii3i−3i−3i3i−i−iii−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
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χ14444-4-4-440000-2-2−4i4i4i−4i-2-22222-44001004i−4i002-22-2000000001-1-111-3-33333-3-3-1-12i−2i−2i2i2i−2i−2i2i2-22-20000-1-1113-3-330000−2i2i−2i2i0000−iii−i3i−3i−3i3iii−i−i−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1454-44-400004-4440000-4-44-44-4000040000000000004-4004-4-4000000004-44-44-400000000000000000000000000000000000000000000000000004-44-400004-40000000000000000000000000000000000000000000000
χ1464-44-400004-4440000-4-44-44-4000040000000000004-4004-4-4000000004-44-44-40000000000000000000000000000000000000000000000000000-44-440000-440000000000000000000000000000000000000000000000
χ1474-44-40000-44440000-4-44-44-400004000000000000-4400-44-400000000-44-444-400000000000000000000000000000000000000000000000000004-44-40000-440000000000000000000000000000000000000000000000
χ1484-44-40000-44440000-4-44-44-400004000000000000-4400-44-400000000-44-444-40000000000000000000000000000000000000000000000000000-44-4400004-40000000000000000000000000000000000000000000000
χ1494-4-44004-400440000-4-4-44-440000400000000004-4004-400-400004-44-40000-4400000000000000000000000000000000000000000000000000004-4-44004-4000000000000000000000000000000000000000000000000
χ1504-4-44004-400440000-4-4-44-440000400000000004-4004-400-400004-44-40000-440000000000000000000000000000000000000000000000000000-444-400-44000000000000000000000000000000000000000000000000
χ1514-4-4400-4400440000-4-4-44-44000040000000000-4400-4400-40000-44-440000-4400000000000000000000000000000000000000000000000000004-4-4400-44000000000000000000000000000000000000000000000000
χ1524-4-4400-4400440000-4-4-44-44000040000000000-4400-4400-40000-44-440000-440000000000000000000000000000000000000000000000000000-444-4004-4000000000000000000000000000000000000000000000000
χ1538-88-800008-88-40000-848-8-440000-40000000000008-800-44400000000-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1618-8-88008-8008-40000-84-884-40000-400000000008-800-440040000-44-4400004-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1688-8-8800-8800-4-40000444-44-40000200000000004-4004-400-2-666-6-22-226-6-66-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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