Finite Group Databasebeta

← Group #72270312

Character table — Group #72270312

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111222222222222222222222222224444444444444444444444444488888888888888888888888888888888888812121212121212121616161616161616161616161616161616161616242424242424242424242424242424242424242448484848
order122222222222223444444446661212121222444466666666661212121212121212121244444444668888888812121212121212121212121212121212121222224444444412121212121212122424242424242424222222222244888888884444
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
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1
χ9111111111-1-11-1-111111-1-1-1-11111111-1-111-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i111111-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ10111111111-1-11-1-111111-1-1-1-11111111-1-111-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1111111−i−i−i−iiiii−i−iii
χ11111111111-1-11-1-111111-1-1-1-11111111-1-111-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii111111-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ12111111111-1-11-1-111111-1-1-1-11111111-1-111-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1111111iiii−i−i−i−iii−i−i
χ13111111111-1-11-1-111111-1-1-1-11111111-1-111-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1iiii−i−i−i−i−i−iii
χ14111111111-1-11-1-111111-1-1-1-11111111-1-111-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-111−i−i−i−iiiiiii−i−i
χ15111111111-1-11-1-111111-1-1-1-11111111-1-111-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1−i−i−i−iiiiiii−i−i
χ16111111111-1-11-1-111111-1-1-1-11111111-1-111-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-111iiii−i−i−i−i−i−iii
χ1711111-1-1-1-1111111111111111111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-11-111-1-111-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-11-11-1
χ1811111-1-1-1-1111111111111111111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-111-11-11
χ1911111-1-1-1-1111111111111111111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-11-11-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-11-11
χ2011111-1-1-1-1111111111111111111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-11111-1-111-1-1111111-1-111-1-11-11-1
χ2111111-1-1-1-1111111111111111111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-11-11-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-11-11
χ2211111-1-1-1-1111111111111111111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-111-1-11111-1-111-1-111-1-111-1-1111-11-1
χ2311111-1-1-1-1111111111111111111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111111111111-11-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-1111-11-1
χ2411111-1-1-1-1111111111111111111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-111-1-1111111-1-111-1-11111-1-111-1-1-11-11
χ2511111-1-1-1-1-1-11-1-111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii111111-1-1-1-1-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iiiii−i−i−i−iii-1-111-1-1-1-11111ii−i−i−i−iiii−i−ii
χ2611111-1-1-1-1-1-11-1-111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii111111-1-1-1-1-1-1-1-11111-1-1-1-11111i−i−iiii−i−i−i−iiiii−i−i−i−iii11-1-11111-1-1-1-1−i−iiiii−i−i−iii−i
χ2711111-1-1-1-1-1-11-1-111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i111111-1-1-1-1-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-111-1-1-1-11111−i−iiiii−i−i−iii−i
χ2811111-1-1-1-1-1-11-1-111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i111111-1-1-1-1-1-1-1-11111-1-1-1-11111−iii−i−i−iiiii−i−i−i−iiiii−i−i11-1-11111-1-1-1-1ii−i−i−i−iiii−i−ii
χ2911111-1-1-1-1-1-11-1-111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii11-1-1-1-111111111-1-1-1-11111-1-1-1-1−iii−i−i−iiiii−i−iii−i−i−i−iii-1-1-1-11111-1-111ii−i−i−i−iii−iii−i
χ3011111-1-1-1-1-1-11-1-111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii11-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−iii−i−i−i−iii1111-1-1-1-111-1-1−i−iiiii−i−ii−i−ii
χ3111111-1-1-1-1-1-11-1-111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i11-1-1-1-111111111-1-1-1-11111-1-1-1-1i−i−iiii−i−i−i−iii−i−iiiii−i−i-1-1-1-11111-1-111−i−iiiii−i−ii−i−ii
χ3211111-1-1-1-1-1-11-1-111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i11-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iii−i−iiiii−i−i1111-1-1-1-111-1-1ii−i−i−i−iii−iii−i
χ33222222222222222-2-2-2-2-2-2-2-2222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2000000002200000000-2-2000000000000000022-2-222-2-2000000000000000000002-2000000002-2000000000000
χ34222222222222222-2-2-2-2-2-2-2-2222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2000000002200000000-2-20000000000000000-2-222-2-22200000000000000000000-2200000000-22000000000000
χ3522222222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ3622222222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-21111111111111111000000000000000000000000
χ3722222222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-122222222-1-1111111111111111100000000-2-2-2-211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ3822222222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-2-2-2-2-2-2-2-2-1-11111111111111111000000002222-1-1-1-1-1-1-1-111111111000000000000000000000000
χ39222222222-2-22-2-22-2-2-2-22222222-2-2-2-2-2-2-2-22222222-2-2-2-22-2-2-2-2-2-2222200000000-2-20000000022000000000000000022-2-2-2-222000000000000000000002-200000000-22000000000000
χ40222222222-2-22-2-22-2-2-2-22222222-2-2-2-2-2-2-2-22222222-2-2-2-22-2-2-2-2-2-2222200000000-2-200000000220000000000000000-2-22222-2-200000000000000000000-22000000002-2000000000000
χ41222222222-2-22-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-2-222-2-2-1-1-1-1-11111-1-1-1-1-1-1-111112222-2-2-2-2112i2i2i2i−2i−2i−2i−2i11-1-1-1-1-1-1-1-111111111000000002i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000
χ42222222222-2-22-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-2-222-2-2-1-1-1-1-11111-1-1-1-1-1-1-111112222-2-2-2-211−2i−2i−2i−2i2i2i2i2i11-1-1-1-1-1-1-1-11111111100000000−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000000000000000
χ43222222222-2-22-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-2-222-2-2-1-1-1-1-11111-1-1-1-1-1-1-11111-2-2-2-22222112i2i2i2i−2i−2i−2i−2i1111111111-1-1-1-1-1-1-1-100000000−2i−2i2i2iiiii−i−i−i−i−i−i−i−iiiii000000000000000000000000
χ44222222222-2-22-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-2-222-2-2-1-1-1-1-11111-1-1-1-1-1-1-11111-2-2-2-2222211−2i−2i−2i−2i2i2i2i2i1111111111-1-1-1-1-1-1-1-1000000002i2i−2i−2i−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000
χ4522222-2-2-2-2222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-222222-2-2-2-222222-2-22222-2-2-2-200000000-2-20000000022000000000000000022-2-222-2-200000000000000000000-2200000000-22000000000000
χ4622222-2-2-2-2222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-222222-2-2-2-222222-2-22222-2-2-2-200000000-2-200000000220000000000000000-2-222-2-222000000000000000000002-2000000002-2000000000000
χ4722222-2-2-2-222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-11111-1-1-1-1-1-1-11111-1-1-1-122-2-222-2-21122-2-222-2-211-1-1-1-11111-1-1-1-11111000000002-22-2-1-111-1-111-1-111-1-111000000000000000000000000
χ4822222-2-2-2-222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-11111-1-1-1-1-1-1-11111-1-1-1-122-2-222-2-211-2-222-2-22211-1-1-1-11111-1-1-1-1111100000000-22-2211-1-111-1-111-1-111-1-1000000000000000000000000
χ4922222-2-2-2-222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-11111-1-1-1-1-1-1-11111-1-1-1-1-2-222-2-2221122-2-222-2-2111111-1-1-1-11111-1-1-1-100000000-22-2211-1-111-1-1-1-111-1-111000000000000000000000000
χ5022222-2-2-2-222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-11111-1-1-1-1-1-1-11111-1-1-1-1-2-222-2-22211-2-222-2-222111111-1-1-1-11111-1-1-1-1000000002-22-2-1-111-1-11111-1-111-1-1000000000000000000000000
χ5122222-2-2-2-2-2-22-2-22-2-2-2-22222222-2-2-2-22222-2-22-2-2-2-2-2-2-2-22-2-222222222000000002200000000-2-2000000000000000022-2-2-2-22200000000000000000000-22000000002-2000000000000
χ5222222-2-2-2-2-2-22-2-22-2-2-2-22222222-2-2-2-22222-2-22-2-2-2-2-2-2-2-22-2-222222222000000002200000000-2-20000000000000000-2-22222-2-2000000000000000000002-200000000-22000000000000
χ5322222-2-2-2-2-2-22-2-2-12222-2-2-2-2-1-1-1-1-1-1-122-2-222-111111111-1-1-11111111122-2-2-2-222-1-12i2i−2i−2i−2i−2i2i2i-1-1-1-1-1-111111111-1-1-1-1000000002i−2i−2i2i−i−iiiii−i−i−i−iiiii−i−i000000000000000000000000
χ5422222-2-2-2-2-2-22-2-2-12222-2-2-2-2-1-1-1-1-1-1-122-2-222-111111111-1-1-11111111122-2-2-2-222-1-1−2i−2i2i2i2i2i−2i−2i-1-1-1-1-1-111111111-1-1-1-100000000−2i2i2i−2iii−i−i−i−iiiii−i−i−i−iii000000000000000000000000
χ5522222-2-2-2-2-2-22-2-2-12222-2-2-2-2-1-1-1-1-1-1-122-2-222-111111111-1-1-111111111-2-22222-2-2-1-12i2i−2i−2i−2i−2i2i2i-1-11111-1-1-1-1-1-1-1-1111100000000−2i2i2i−2iii−i−i−i−iii−i−iiiii−i−i000000000000000000000000
χ5622222-2-2-2-2-2-22-2-2-12222-2-2-2-2-1-1-1-1-1-1-122-2-222-111111111-1-1-111111111-2-22222-2-2-1-1−2i−2i2i2i2i2i−2i−2i-1-11111-1-1-1-1-1-1-1-11111000000002i−2i−2i2i−i−iiiii−i−iii−i−i−i−iii000000000000000000000000
χ572222-222-2-222-2-2-2222-2-222-2-222222222-22-22-2-222-2-2-2-222-2-2-222-2-222-2-2000000002-22i−2i2i−2i2i−2i2i−2i2-20000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ582222-222-2-222-2-2-2222-2-222-2-222222222-22-22-2-222-2-2-2-222-2-2-222-2-222-2-2000000002-2−2i2i−2i2i−2i2i−2i2i2-2000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
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Here i is the imaginary unit (i² = −1).