Finite Group Databasebeta

← Group #11789835

Character table — Group #11789835

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444444444444888888888888888888888888888888888888363636363636363672727272
order12222222333344446666666666666666666666666666888812121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444441212121212121212121212121212121212121212121212121212121212121212444488884444
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
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1
χ811111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-111
χ911-1-1-1-11111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−ii−ii−iii−i−i1-11-1
χ1011-1-1-1-11111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−ii−i−iii-11-11
χ1111-1-1-1-11111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiii−ii−iii−i−i-11-11
χ1211-1-1-1-11111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−ii−ii−i−iii1-11-1
χ1311-1-1-1-11111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−ii−i−i−iii-111-1
χ1411-1-1-1-11111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−ii−iiii−i−i1-1-11
χ1511-1-1-1-11111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii−ii−i−i−iii1-1-11
χ1611-1-1-1-11111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−ii−iiii−i−i-111-1
χ17222222222222-2-2-2-222222222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000022-2-200000000
χ18222222222222-2-2-2-222222222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000-2-22200000000
χ19222222222-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ20222222222-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-2-2111111-2-2111111000000000000
χ21222222222-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000
χ22222222222-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-222-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ2322222222-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-12222-12-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ2422222222-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-12222-12-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211-2-2111111-2-2111111-2-2111111-2-21111000000000000
χ2522222222-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-2-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111000000000000
χ2622222222-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-22211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ2722222222-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-12222-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ2822222222-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-12222-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111-2-2111111-2-2111111-2-2111111-2-211000000000000
χ2922222222-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-111111111-2-2-2-2111111111111-2-2-2-2111122-2-2-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-211000000000000
χ3022222222-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-111111111-2-2-2-2111111111111-2-2-2-21111-2-2221111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ3122222222-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ3222222222-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111-2-2111111-2-2111111-2-2111111-2-2000000000000
χ3322222222-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12111111111111-2-2-2-2111111111111-2-2-2-222-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2000000000000
χ3422222222-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12111111111111-2-2-2-2111111111111-2-2-2-2-2-222111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ3522-2-2-2-2222222-22-2222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i00000000
χ3622-2-2-2-2222222-22-2222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000
χ3722-2-2-2-2222-1-1-12-22-222-1-1-1-1-1-1-2-21111112-1-1-1-2-211111122-2-22-1-1-1-2-21111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112i−2i2i−2i2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000
χ3822-2-2-2-2222-1-1-12-22-222-1-1-1-1-1-1-2-21111112-1-1-1-2-211111122-2-22-1-1-1-2-21111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111−2i2i−2i2i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000
χ3922-2-2-2-2222-1-1-12-22-222-1-1-1-1-1-1-2-21111112-1-1-1-2-2111111-2-2222-1-1-1-2-21111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-12i−2i−2i2i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000
χ4022-2-2-2-2222-1-1-12-22-222-1-1-1-1-1-1-2-21111112-1-1-1-2-2111111-2-2222-1-1-1-2-21111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1−2i2i2i−2i−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000
χ4122-2-2-2-222-12-1-12-22-2-1-122-1-1-1-111-2-21111-12-1-111-2-2111122-2-2-12-1-111-2-21111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112i−2i2i−2i−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii000000000000
χ4222-2-2-2-222-12-1-12-22-2-1-122-1-1-1-111-2-21111-12-1-111-2-2111122-2-2-12-1-111-2-21111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111−2i2i−2i2iii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−i000000000000
χ4322-2-2-2-222-12-1-12-22-2-1-122-1-1-1-111-2-21111-12-1-111-2-21111-2-222-12-1-111-2-21111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-12i−2i−2i2i−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i000000000000
χ4422-2-2-2-222-12-1-12-22-2-1-122-1-1-1-111-2-21111-12-1-111-2-21111-2-222-12-1-111-2-21111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1−2i2i2i−2iii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiii000000000000
χ4522-2-2-2-222-1-12-12-22-2-1-1-1-122-1-11111-2-211-1-12-11111-2-21122-2-2-1-12-11111-2-211-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-211112i−2i2i−2i−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii000000000000
χ4622-2-2-2-222-1-12-12-22-2-1-1-1-122-1-11111-2-211-1-12-11111-2-21122-2-2-1-12-11111-2-211-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111−2i2i−2i2iiiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−i000000000000
χ4722-2-2-2-222-1-12-12-22-2-1-1-1-122-1-11111-2-211-1-12-11111-2-211-2-222-1-12-11111-2-211-1-12-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-12i−2i−2i2i−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii−i−i−i−i2i2i−i−i000000000000
χ4822-2-2-2-222-1-12-12-22-2-1-1-1-122-1-11111-2-211-1-12-11111-2-211-2-222-1-12-11111-2-211-1-12-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1−2i2i2i−2iiiii−2i−2iii−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−iiiii−2i−2iii000000000000
χ4922-2-2-2-222-1-1-122-22-2-1-1-1-1-1-122111111-2-2-1-1-12111111-2-222-2-2-1-1-12111111-2-2-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-22i−2i2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i000000000000
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χ5122-2-2-2-222-1-1-122-22-2-1-1-1-1-1-122111111-2-2-1-1-12111111-2-2-2-222-1-1-12111111-2-2-1-1-12111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-122222i−2i−2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i000000000000
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χ1444-4-4-444-44-2-2-24-4-444222222-4-42-22-22-2-44-2-2-242-22-22-2-440000222-4-22-22-224-4-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000000

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