Finite Group Databasebeta

← Group #72274609

Character table — Group #72274609

Order 4608.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1122336666661212121212121212121212121212121212121212121212121212121212123636646464647272727212812812812819219219219211223366666612121212121212121212121212121212121212121212121212121212121236366464646472727272128128128128192192192192
order1236222222662222224444666666666666121212121212121222336644443366666622662222226622222244446666666666661212121212121212226666444466666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ311111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ41111111111111111-1-1111111111111111111111111-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1
χ51111111111111111-1-1111111111111111111111111-1-1−1+i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321111111111111111-1-1111111111111111111111111-1-1−1+i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ61111111111111111-1-1111111111111111111111111-1-1−1−i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321111111111111111-1-1111111111111111111111111-1-1−1−i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ722-1-1222222-1-12222002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-1000022-1-1222222-1-12222002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-10000
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χ922-1-1222222-1-12222002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i300001+i321−i321+i321−i32000022-1-1222222-1-12222002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i300001+i321−i321+i321−i320000
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χ71333333333333-1-1-1-1-3-3-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-3-30000111100000000-3-3-3-3-3-3-3-3-3-3-3-31111331111-3-3-3-31111111111111111330000-1-1-1-100000000
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χ12024-24-1212-8800004-4000000000000000000000000000000000000000000000000-242412-128-80000-44000000000000000000000000000000000000000000000000

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