Finite Group Databasebeta

← Group #11797382

Character table — Group #11797382

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444888888888888888888888888888888888888363636363636363672727272
order124423333444446666888812121212121212122424242424242424242424242424242466668812121212121212121212121212121212121212122424242424242424242424242424242424242424242424241616161648484848484848484848484848484848484848484848484848484848484848482444888816161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111-1-1-1-1ii−i−i
χ6111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-11111−i−iii
χ7111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1111-1-1-1-1−i−iii
χ8111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-11111ii−i−i
χ9111111111-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ10111111111-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ11111111111-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ12111111111-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ13111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111i−i−ii
χ14111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1−iii−i
χ15111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111−iii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−iii−i
χ16111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111−iii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1i−i−ii
χ17222222-1-1-1222222-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ18222222-1-1-1222222-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-2-2111111-2-2111111000000000000
χ19222222-1-1-1222222-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-21111111111112-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2-2-21111111111112i2i−2i−2i2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii000000000000
χ20222222-1-1-1222222-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-21111111111112-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2-2-2111111111111−2i−2i2i2i−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i000000000000
χ21222222-1-1-1-2-2-2-222-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-21111111111112-1-1-122-1-1-1-1-1-1-2-2-2-21111111111112-22-222-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000000000000
χ22222222-1-1-1-2-2-2-222-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-21111111111112-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-22-22-2-211111122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1000000000000
χ23222222-1-1-1-2-2-2-222-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-21111111111112-1-1-122-2-2-2-21111111111112-1-1-1-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-12i−2i−2i2i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000
χ24222222-1-1-1-2-2-2-222-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-21111111111112-1-1-122-2-2-2-21111111111112-1-1-1-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1−2i2i2i−2i−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000
χ2522222-12-1-122222-12-1-12222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ2622222-12-1-122222-12-1-12222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211-2-2111111-2-2111111-2-2111111-2-21111000000000000
χ2722222-12-1-122222-12-1-1-2-2-2-2-1-122-1-1-1-11111-2-2-2-211111111-12-1-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-111-2-211111111-2-2-2-2111111112i2i−2i−2i−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii000000000000
χ2822222-12-1-122222-12-1-1-2-2-2-2-1-122-1-1-1-11111-2-2-2-211111111-12-1-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-111-2-211111111-2-2-2-211111111−2i−2i2i2iii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−i000000000000
χ2922222-12-1-1-2-2-2-22-12-1-12222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-2-21111-2-2-2-211111111-12-1-1-1-122-1-1-1-11111-2-2-2-2111111112-22-2-1-122-1-1-1-111-2-21111-1-122-1-1-1-111-2-21111000000000000
χ3022222-12-1-1-2-2-2-22-12-1-12222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-2-21111-2-2-2-211111111-12-1-1-1-122-1-1-1-11111-2-2-2-211111111-22-2211-2-21111-1-122-1-1-1-111-2-21111-1-122-1-1-1-1000000000000
χ3122222-12-1-1-2-2-2-22-12-1-1-2-2-2-2-1-122-1-1-1-11111-2-2-2-211111111-12-1-1221111-2-2-2-211111111-12-1-111-2-21111-1-1-1-12222-1-1-1-1-1-1-1-12i−2i−2i2i−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i000000000000
χ3222222-12-1-1-2-2-2-22-12-1-1-2-2-2-2-1-122-1-1-1-11111-2-2-2-211111111-12-1-1221111-2-2-2-211111111-12-1-111-2-21111-1-1-1-12222-1-1-1-1-1-1-1-1−2i2i2i−2iii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiii000000000000
χ3322222-1-12-122222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ3422222-1-12-122222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111-2-2111111-2-2111111-2-2111111-2-211000000000000
χ3522222-1-12-122222-1-12-1-2-2-2-2-1-1-1-122-1-111111111-2-2-2-21111-1-12-1-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-11111-2-21111111111-2-2-2-211112i2i−2i−2i−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii000000000000
χ3622222-1-12-122222-1-12-1-2-2-2-2-1-1-1-122-1-111111111-2-2-2-21111-1-12-1-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-11111-2-21111111111-2-2-2-21111−2i−2i2i2iiiii−2i−2iiiiiii−2i−2iii−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−i000000000000
χ3722222-1-12-1-2-2-2-22-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-2-211111111-2-2-2-21111-1-12-1-1-1-1-122-1-111111111-2-2-2-211112-22-2-1-1-1-122-1-11111-2-211-1-1-1-122-1-11111-2-211000000000000
χ3822222-1-12-1-2-2-2-22-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-2-211111111-2-2-2-21111-1-12-1-1-1-1-122-1-111111111-2-2-2-21111-22-221111-2-211-1-1-1-122-1-11111-2-211-1-1-1-122-1-1000000000000
χ3922222-1-12-1-2-2-2-22-1-12-1-2-2-2-2-1-1-1-122-1-111111111-2-2-2-21111-1-12-12211111111-2-2-2-21111-1-12-11111-2-211-1-1-1-1-1-1-1-12222-1-1-1-12i−2i−2i2i−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii−i−i−i−i2i2i−i−i000000000000
χ4022222-1-12-1-2-2-2-22-1-12-1-2-2-2-2-1-1-1-122-1-111111111-2-2-2-21111-1-12-12211111111-2-2-2-21111-1-12-11111-2-211-1-1-1-1-1-1-1-12222-1-1-1-1−2i2i2i−2iiiii−2i−2iii−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−iiiii−2i−2iii000000000000
χ4122222-1-1-1222222-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ4222222-1-1-1222222-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111-2-2111111-2-2111111-2-2111111-2-2000000000000
χ4322222-1-1-1222222-1-1-12-2-2-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-12-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12111111-2-2111111111111-2-2-2-22i2i−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i000000000000
χ4422222-1-1-1222222-1-1-12-2-2-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-12-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12111111-2-2111111111111-2-2-2-2−2i−2i2i2iiiiiii−2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2i000000000000
χ4522222-1-1-12-2-2-2-22-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-2-2111111111111-2-2-2-2-1-1-12-1-1-1-1-1-122111111111111-2-2-2-22-22-2-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122111111-2-2000000000000
χ4622222-1-1-12-2-2-2-22-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-2-2111111111111-2-2-2-2-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2-22-22111111-2-2-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122000000000000
χ4722222-1-1-12-2-2-2-22-1-1-12-2-2-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-1222111111111111-2-2-2-2-1-1-12111111-2-2-1-1-1-1-1-1-1-1-1-1-1-122222i−2i−2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i000000000000
χ4822222-1-1-12-2-2-2-22-1-1-12-2-2-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-1222111111111111-2-2-2-2-1-1-12111111-2-2-1-1-1-1-1-1-1-1-1-1-1-12222−2i2i2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2i000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.