Finite Group Databasebeta

← Group #72270222

Character table — Group #72270222

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111222222222222222222222222224444444444444444444444444488888888888888888888888888888888888812121212121212121616161616161616161616161616161616161616242424242424242424242424242424242424242448484848
order12222222222222344444444666666622444466666666666612121212121212122222222222444444666666666666666612121212888888886688881212121212122424242424242424222244448888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1
χ91111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ101111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111
χ111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111
χ121111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111111111-1-1
χ131111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111
χ141111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111111111-1-1-1-111-1-1
χ151111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-11111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1
χ161111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-111
χ17111111-1-1-1-111111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11-111-1-11-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-11-11-111-1-11-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-11-11-1
χ18111111-1-1-1-111111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11-111-1-11-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111-11-11-111-1-11-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-11-11
χ19111111-1-1-1-111111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-11-1-111-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-11-11-1-111-11-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-11-11
χ20111111-1-1-1-111111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-11-1-111-111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-11-11-11-1-111-11-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-11-11-1
χ21111111-1-1-1-111111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1111-111-1-11-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-1-11-1111-1-11-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-11-11
χ22111111-1-1-1-111111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1111-111-1-11-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111-1-11-1111-1-11-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1111-11-1
χ23111111-1-1-1-111111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-11-1-111-11-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-111-11-1-1-111-1111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1111-11-1
χ24111111-1-1-1-111111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-11-1-111-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-111-11-1-1-111-1111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-11-11
χ25111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-1-1111-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-11-1-11-1-1111-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-11-1-11
χ26111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-1-1111-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-11-1-11-1-1111-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-111-1
χ27111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1111-1-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-11-111-111-1-1-11-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-111-1
χ28111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1111-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-111-111-1-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11-1-11
χ29111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1-1111-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1
χ30111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-111-1-1-1111-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1111-1-11
χ31111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1111-1-1-11-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1111-1-1-1111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1111-1-11
χ32111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1111-1-1-11-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-1-1111-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-111-1
χ33222222222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-20000000000000000000000000000000000002i−2i2i−2i00002i−2i2i−2i0000
χ34222222222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2000000000000000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i0000
χ3522222222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ3622222222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011-2-2-2-211111111111111000000000000000000000000
χ3722222222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-100000000-1-1-2-2-2-2-1-1-1-1-1-111111111000000000000000000000000
χ3822222222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111-1-1-1-100000000112222111111-1-1-1-1-1-1-1-1000000000000000000000000
χ392222222222-2-2-2-22-2-2-2-2-2-2-2-22222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022220000000000000000000000000000000000002i−2i2i−2i0000−2i2i−2i2i0000
χ402222222222-2-2-2-22-2-2-2-2-2-2-2-22222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222000000000000000000000000000000000000−2i2i−2i2i00002i−2i2i−2i0000
χ412222222222-2-2-2-2-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-12222-2-2-2-222-2-2-2-222-1-1-1-1-1-1-1-111111111111100000000-1-122-2-21111-1-1-1-1-1-11111000000000000000000000000
χ422222222222-2-2-2-2-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-12222-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-11111111111110000000011-2-222-1-1-1-1111111-1-1-1-1000000000000000000000000
χ432222222222-2-2-2-2-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2222222-2-2-2-22211111111-1-1-1-1-1-1-1-1111100000000-1-1-2-2221111-1-11111-1-1-1-1000000000000000000000000
χ442222222222-2-2-2-2-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-22222-2-22222-2-211111111-1-1-1-1-1-1-1-11111000000001122-2-2-1-1-1-111-1-1-1-11111000000000000000000000000
χ45222222-2-2-2-2222222222-2-2-2-2-2-2-2-2222-2-2-2-22222-2-22222-2-2-2-2-2-22222-2-200000000000000000000000000000000-2-2220000000000000000000000000000000000002i−2i−2i2i00002i−2i−2i2i0000
χ46222222-2-2-2-2222222222-2-2-2-2-2-2-2-2222-2-2-2-22222-2-22222-2-2-2-2-2-22222-2-200000000000000000000000000000000-2-222000000000000000000000000000000000000−2i2i2i−2i0000−2i2i2i−2i0000
χ47222222-2-2-2-22222-1-2-2-2-222221111-1-1-1-2-222-2-2-1-111-1-1-1-11111-1-11111-1-122-2-222-2-22-222-2-22-2-1-1-1-11111-1-1-1-11111-1-11100000000-112-22-2-1-111-11-1-111-1-111000000000000000000000000
χ48222222-2-2-2-22222-1-2-2-2-222221111-1-1-1-2-222-2-2-1-111-1-1-1-11111-1-11111-1-122-2-222-2-2-22-2-222-22-1-1-1-11111-1-1-1-11111-1-111000000001-1-22-2211-1-11-111-1-111-1-1000000000000000000000000
χ49222222-2-2-2-22222-1-2-2-2-222221111-1-1-1-2-222-2-2-1-111-1-1-1-11111-1-11111-1-1-2-222-2-2222-222-2-22-21111-1-1-1-11111-1-1-1-1-1-11100000000-11-22-22-1-111-1111-1-111-1-1000000000000000000000000
χ50222222-2-2-2-22222-1-2-2-2-222221111-1-1-1-2-222-2-2-1-111-1-1-1-11111-1-11111-1-1-2-222-2-222-22-2-222-221111-1-1-1-11111-1-1-1-1-1-111000000001-12-22-211-1-11-1-1-111-1-111000000000000000000000000
χ51222222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-22222222-2-222-2-2-2-2-2-22222-2-22222-2-20000000000000000000000000000000022-2-20000000000000000000000000000000000002i−2i−2i2i0000−2i2i2i−2i0000
χ52222222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-22222222-2-222-2-2-2-2-2-22222-2-22222-2-20000000000000000000000000000000022-2-2000000000000000000000000000000000000−2i2i2i−2i00002i−2i−2i2i0000
χ53222222-2-2-2-2-2-2-2-2-1-2-2-2-222221111-1-1-122-2-222-1-1111111-1-1-1-1-1-11111-1-122-2-2-2-2222-2-2-2222-2-1-1-1-111111111-1-1-1-111-1-100000000-112-2-2211-1-1-11-1-11111-1-1000000000000000000000000
χ54222222-2-2-2-2-2-2-2-2-1-2-2-2-222221111-1-1-122-2-222-1-1111111-1-1-1-1-1-11111-1-122-2-2-2-222-2222-2-2-22-1-1-1-111111111-1-1-1-111-1-1000000001-1-222-2-1-1111-111-1-1-1-111000000000000000000000000
χ55222222-2-2-2-2-2-2-2-2-1-2-2-2-222221111-1-1-122-2-222-1-1111111-1-1-1-1-1-11111-1-1-2-22222-2-22-2-2-2222-21111-1-1-1-1-1-1-1-1111111-1-100000000-11-222-211-1-1-1111-1-1-1-111000000000000000000000000
χ56222222-2-2-2-2-2-2-2-2-1-2-2-2-222221111-1-1-122-2-222-1-1111111-1-1-1-1-1-11111-1-1-2-22222-2-2-2222-2-2-221111-1-1-1-1-1-1-1-1111111-1-1000000001-12-2-22-1-1111-1-1-11111-1-1000000000000000000000000
χ572222-2-222-2-222-2-2222-2-22-2-2222222222-22-22-2-2-2-2-222-2-222-2-22222-2-2-2-2000000000000000000000000000000002-22-222-2-222-2-2000000000000000000000000000000002-22-200000000
χ582222-2-222-2-222-2-2222-2-22-2-2222222222-22-22-2-2-2-2-222-2-222-2-22222-2-2-2-2000000000000000000000000000000002-22-2-2-222-2-22200000000000000000000000000000000-22-2200000000
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χ1114444-4-4-4-44444-4-4-2-4-4444-4-442222-2-2-2-444-4-4422-2-2-2-22222-2-2-2-222-2-22200000000000000000000000000000000-222-20000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).