Finite Group Databasebeta

← Group #72220588

Character table — Group #72220588

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size12222222222222273666666666666681366666666666668136666666666666813666666666666681366666666666668116323232323232323232323232324321632323232323232323232323232432
order133333333333332266666666666662266666666666662266666666666662266666666666662266666666666662333333333333336333333333333336
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-111111111111111-111111111111111-111111111111111-111111111111111-111111111111111-111111111111111-111111111111111-1
χ322222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-10
χ422-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-10
χ522-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-10
χ622-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-12220
χ72-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-10
χ82-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-10
χ92-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-120
χ102-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-120
χ112-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-10
χ122-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-10
χ132-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-10
χ142-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-120
χ152-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-10
χ16111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ1711111111111111-111111111111111-111111111111111-111111111111111-111111111111111-111111111111111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32
χ1822222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-10−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i320−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i320
χ1922-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-10−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i320−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i320
χ2022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-10−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i320
χ2122-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-12220−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i30−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i30
χ222-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-10−1+i31−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i320
χ232-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-10−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i320−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i320
χ242-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-120−1+i31−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i30−1−i31+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i30
χ252-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-120−1+i31−i321−i32−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i30−1−i31+i321+i32−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i30
χ262-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-10−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i320−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i320
χ272-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-10−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i320
χ282-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-10−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i320−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i320
χ292-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-120−1+i31−i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i32−1−i30
χ302-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-10−1+i31−i321−i321−i32−1+i31−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i320−1−i31+i321+i321+i32−1−i31+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i320
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ3211111111111111-111111111111111-111111111111111-111111111111111-111111111111111-111111111111111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32
χ3322222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-10−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i320−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i320
χ3422-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-10−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i320−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i320
χ3522-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-10−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i320
χ3622-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-12220−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i30−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i30
χ372-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-10−1−i31+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i320
χ382-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-10−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i320−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i320
χ392-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-120−1−i31+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i30−1+i31−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i30
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χ412-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-10−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i320−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i320
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χ1166-3-36-3-36-3-3-366-3-30-211-211-2111-2-2110-211-211-2111-2-2110-211-211-2111-2-2110-211-211-2111-2-21106-3-36-3-36-3-3-366-3-30000000000000000000000000000000
χ1176-3-36-3-3-366-3-3-36-30-211-2111-2-2111-210-211-2111-2-2111-210-211-2111-2-2111-210-211-2111-2-2111-2106-3-36-3-3-366-3-3-36-30000000000000000000000000000000
χ1186-3-3-366-3-3-3-36-36-30-2111-2-21111-21-210-2111-2-21111-21-210-2111-2-21111-21-210-2111-2-21111-21-2106-3-3-366-3-3-3-36-36-30000000000000000000000000000000
χ1196-3-3-36-36-36-3-3-3-360-2111-21-21-21111-20-2111-21-21-21111-20-2111-21-21-21111-20-2111-21-21-21111-206-3-3-36-36-36-3-3-3-360000000000000000000000000000000
χ1206-3-3-36-3-36-36-36-3-30-2111-211-21-21-2110-2111-211-21-21-2110-2111-211-21-21-2110-2111-211-21-21-21106-3-3-36-3-36-36-36-3-30000000000000000000000000000000

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