Finite Group Databasebeta

← Group #11772506

Character table — Group #11772506

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444888888888888888888888888888888888888363636363636363672727272
order124422233334446666666666668888121212121212121212121212121212126666666688121212121212121224242424242424242424242424242424242424242424242424242424242424248888242424242424242424242424242424242424242424242424242424242424242416161616161616168888
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
χ511111-1-11111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ611111-1-11111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ711111-1-11111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−iii
χ811111-1-11111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiii−i−i
χ911-1-1-11-1111111-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1i−ii−i
χ1011-1-1-11-1111111-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−ii−ii
χ1111-1-1-11-1111111-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−ii−ii
χ1211-1-1-11-1111111-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111i−ii−i
χ1311-1-1-1-111111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii-111-1
χ1411-1-1-1-111111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i1-1-11
χ1511-1-1-1-111111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii1-1-11
χ1611-1-1-1-111111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i-111-1
χ1722222222222222222222222222-2-2-2-2222222222222222222222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ1822222222-1-1-122222-1-1-1-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ1922222222-1-1-122222-1-1-1-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-2-2111111-2-2111111000000000000
χ2022222222-1-1-122222-1-1-1-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000000
χ2122222222-1-1-122222-1-1-1-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000000
χ222222222-12-1-1222-1-122-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-1-12-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1000000000000
χ232222222-12-1-1222-1-122-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-211-211-21111-211-21111-211-21111-211-211000000000000
χ242222222-12-1-1222-1-122-1-1-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-211110000−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000000000
χ252222222-12-1-1222-1-122-1-1-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-211110000i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000000000
χ262222222-1-12-1222-1-1-1-122-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12000000000000
χ272222222-1-12-1222-1-1-1-122-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2111-2111-2111-2111-2111-2111-2111-2111-2000000000000
χ282222222-1-12-1222-1-1-1-122-1-1-1-12-1-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-2-2-1-12-1-1-12-11111-2-2111111-2-2111111-2-2111111-2-2110000−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30000000000000
χ292222222-1-12-1222-1-1-1-122-1-1-1-12-1-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-2-2-1-12-1-1-12-11111-2-2111111-2-2111111-2-2111111-2-2110000i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30000000000000
χ302222222-1-1-12222-1-1-1-1-1-122-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-12-12-1-1-1-1-12-12-1-1-1-1-12-12-1-1-1-1-12-12-1000000000000
χ312222222-1-1-12222-1-1-1-1-1-122-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-21111-21-211111-21-211111-21-211111-21-21000000000000
χ322222222-1-1-12222-1-1-1-1-1-122-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-2-2-1-1-12-1-1-12111111-2-2111111-2-2111111-2-2111111-2-20000−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3000000000000
χ332222222-1-1-12222-1-1-1-1-1-122-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-2-2-1-1-12-1-1-12111111-2-2111111-2-2111111-2-2111111-2-20000i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3000000000000
χ3422222-2-22222-22-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222000000000000000000000000000000000000000000000000
χ3522222-2-22-1-1-1-22-2-2-21111112-1-1-12222-2-211111122-1-1-1-1-1-12-1-1-1-2111-2-2-21112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000000
χ3622222-2-22-1-1-1-22-2-2-21111112-1-1-12222-2-211111122-1-1-1-1-1-12-1-1-1-2111-2-2-21112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000000
χ3722222-2-22-1-1-1-22-2-2-21111112-1-1-1-2-2-2-2-2-211111122-1-1-1-1-1-12-1-1-1-211122-21112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000
χ3822222-2-22-1-1-1-22-2-2-21111112-1-1-1-2-2-2-2-2-211111122-1-1-1-1-1-12-1-1-1-211122-21112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-222-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ3922222-2-2-12-1-1-22-211-2-21111-12-1-1222211-2-21111-1-122-1-1-1-1-12-1-11-211-2-21-211-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000000000
χ4022222-2-2-12-1-1-22-211-2-21111-12-1-1222211-2-21111-1-122-1-1-1-1-12-1-11-211-2-21-211-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000000000
χ4122222-2-2-12-1-1-22-211-2-21111-12-1-1-2-2-2-211-2-21111-1-122-1-1-1-1-12-1-11-211221-211-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111122-2-2-1-12-1-12-1-1-1-12-1-12-1-111-211-21111-211-211000000000000
χ4222222-2-2-12-1-1-22-211-2-21111-12-1-1-2-2-2-211-2-21111-1-122-1-1-1-1-12-1-11-211221-211-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111-2-22211-211-21111-211-211-1-12-1-12-1-1-1-12-1-12-1-1000000000000
χ4322222-2-2-1-12-1-22-21111-2-211-1-12-122221111-2-211-1-1-1-122-1-1-1-12-111-21-2-211-21-1-12-11111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-10000−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30000000000000
χ4422222-2-2-1-12-1-22-21111-2-211-1-12-122221111-2-211-1-1-1-122-1-1-1-12-111-21-2-211-21-1-12-11111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-10000i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30000000000000
χ4522222-2-2-1-12-1-22-21111-2-211-1-12-1-2-2-2-21111-2-211-1-1-1-122-1-1-1-12-111-212211-21-1-12-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-21122-2-2-1-1-12-1-1-12-1-1-12-1-1-12111-2111-2111-2111-2000000000000
χ4622222-2-2-1-12-1-22-21111-2-211-1-12-1-2-2-2-21111-2-211-1-1-1-122-1-1-1-12-111-212211-21-1-12-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-211-2-222111-2111-2111-2111-2-1-1-12-1-1-12-1-1-12-1-1-12000000000000
χ4722222-2-2-1-1-12-22-2111111-2-2-1-1-122222111111-2-2-1-1-1-1-1-122-1-1-12111-2-2-2111-2-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-1220000−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3000000000000
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Here i is the imaginary unit (i² = −1).