Finite Group Databasebeta

← Group #11771834

Character table — Group #11771834

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222222222222222222222222222444488888888888888888888888888888888888888888888888888888888888887272727272727272
order12222233336666666666666666666666666666444444444121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−iii−i−i
χ611111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iii−i−iii
χ711111111111111111111111111111111111111-1-1-1-11-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii
χ811111111111111111111111111111111111111-1-1-1-11-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i
χ9222222222222222222222222222222222222222-2-22-200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000
χ1022222222222222222222222222222222222222-222-2-200000000000000000000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000
χ112222222-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ122222222-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122222-2-2-2-2-2-2-2-211111111111122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-211111111111100000000
χ132222222-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-2-22-200000000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3-2-2111111-2-211111122-1-1-1-1-1-10000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i300000000
χ142222222-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-2-22-200000000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3-2-2111111-2-211111122-1-1-1-1-1-10000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i300000000
χ152222222-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-222-2-200000000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3-2-211111122-1-1-1-1-1-1-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i300000000
χ162222222-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-222-2-200000000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3-2-211111122-1-1-1-1-1-1-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i300000000
χ172222222-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2222-2-2-2-2-2-211111111111122-1-1-1-1-1-1-2-2111111-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ182222222-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-22-2-2222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-211111111111100000000
χ19222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1222222222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100000000
χ20222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122222-2-2-2-21111-2-21111-2-21111-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-21111-2-2111100000000
χ21222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-12-2-22-20000−i3−i3i3i300−i3−i3i3i300−i3−i3i3i311-2-2111111-2-21111-1-122-1-1-1-1−i3−i3i3i300−i3−i3i3i300−i3−i3i3i300000000
χ22222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-12-2-22-20000i3i3−i3−i300i3i3−i3−i300i3i3−i3−i311-2-2111111-2-21111-1-122-1-1-1-1i3i3−i3−i300i3i3−i3−i300i3i3−i3−i300000000
χ23222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-222-2-20000−i3−i3i3i300−i3−i3i3i300−i3−i3i3i311-2-21111-1-122-1-1-1-111-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i300000000
χ24222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-222-2-20000i3i3−i3−i300i3i3−i3−i300i3i3−i3−i311-2-21111-1-122-1-1-1-111-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i300000000
χ25222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-2-2222-2-21111-2-21111-2-21111-1-122-1-1-1-111-2-2111111-2-21111-1-1-1-122-1-1-1-122-1-1-1-100000000
χ26222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-2-22-2-222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211111111-2-21111-2-2111100000000
χ27222222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-12-1-1-12-1222222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12200000000
χ28222222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-12-1-1-12-122222-2-2-2-2111111-2-2111111-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1111111-2-2111111-2-200000000
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χ32222222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-12-1-1-12-1-222-2-20000i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3001111-2-211-1-1-1-122-1-11111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i30000000000
χ33222222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-12-1-1-12-1-2-2-2-2222-2-2111111-2-2111111-2-2-1-1-1-122-1-11111-2-2111111-2-211-1-1-1-1-1-122-1-1-1-1-1-12200000000
χ34222222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-12-1-1-12-1-2-2-2-22-2-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-11111-2-2111111-2-211111111-2-2111111-2-200000000
χ35222222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-12222222222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-100000000
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χ42222222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-12-2-2-2-22-2-222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122111111-2-2111111-2-211111111-2-211-2-21100000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.