Finite Group Databasebeta

← Group #11884116

Character table — Group #11884116

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444412121212242424242424242424242424242436363636484848487272
order12222233446666666666346666666668888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424224424444466661212121224441212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11111-1-1-1-111111-11-1-1-1
χ61111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-111111-1-1-1-1-1-1-1-1-11-1111
χ71111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-111-1-1-1-1-11111-1-1-1-11-11-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-1-1-111111111-11-11-1-1
χ91111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-111-1-1-111-111-1-11-1
χ101111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11-1-11-1-111-11
χ111111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1111-1-1-11
χ121111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-111-1-1-1111-1
χ131111-1-11111111-1-1-1-11111-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-11-11-1111-1-1-1-111-111-11-1-11-11
χ141111-1-11111111-1-1-1-11111-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111-111-1-1-1-1111-1-11-111-11-1
χ151111-1-11111111-1-1-1-11111-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-11-1-11111-1-11-1-111-1-111-1
χ161111-1-11111111-1-1-1-11111-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111-11-11-1-1-11111-1-1-111-1-111-1-11
χ1722222222-2-222222222222-22222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000022-2-2000000
χ1822222222-2-222222222222-22222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000-2-222000000
χ192222222-1222-1-1-1-1-1-122-1-1222-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222200200-1-1-1-1-1-1-1-10000000000
χ202222222-1222-1-1-1-1-1-122-1-1222-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-200-200111111110000000000
χ212222222-1222-1-1-1-1-1-122-1-1222-1-1-1-1-1-1-1-2-2-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-2200-200-1-1-1-111110000000000
χ222222222-1222-1-1-1-1-1-122-1-1222-1-1-1-1-1-1-1-2-2-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-222-2002001111-1-1-1-10000000000
χ23222222-1222-1222222-1-12-12-1-1-1-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000022022000000000000-1-1-1-100
χ24222222-1222-1222222-1-12-12-1-1-1-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000-2-20-2-2000000000000111100
χ25222222-1222-1222222-1-12-12-1-1-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111000002-202-2000000000000-11-1100
χ26222222-1222-1222222-1-12-12-1-1-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111100000-220-220000000000001-11-100
χ272222-2-222-2-2222-2-2-2-222222-2-222-2-2-2-220000-2-22222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000002-22-2000000
χ282222-2-222-2-2222-2-2-2-222222-2-222-2-2-2-220000-2-22222-2-22222-2-2-2-200000000000000000000000000000000000000000000000000-22-22000000
χ292222-2-22-1222-1-1111122-1-1-2-2-2-1-11111-122-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112222-200-200-1-111-1-1110000000000
χ302222-2-22-1222-1-1111122-1-1-2-2-2-1-11111-122-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-220020011-1-111-1-10000000000
χ312222-2-22-1222-1-1111122-1-1-2-2-2-1-11111-1-2-2222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-200200-1-11111-1-10000000000
χ322222-2-22-1222-1-1111122-1-1-2-2-2-1-11111-1-2-2222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-222200-20011-1-1-1-1110000000000
χ332222-2-2-1222-122-2-2-2-2-1-12-1-211-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100000220-2-2000000000000-1-11100
χ342222-2-2-1222-122-2-2-2-2-1-12-1-211-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100000-2-202200000000000011-1-100
χ352222-2-2-1222-122-2-2-2-2-1-12-1-211-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000002-20-22000000000000-111-100
χ362222-2-2-1222-122-2-2-2-2-1-12-1-211-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100000-2202-20000000000001-1-1100
χ372-2-220022-22-2-2-20000-2222000-2-2000022-200-2-20000-2-20000222222-2-222-2-22222-2-2-2-200000000000000002-22-20000002-2002-2000000000000
χ382-2-220022-22-2-2-20000-2222000-2-2000022-200-2-20000-2-20000222222-2-222-2-22222-2-2-2-20000000000000000-22-22000000-2200-22000000000000
χ392-2-220022-22-2-2-20000-2222000-2-200002-2200-2-20000-2-200002222-2-222-2-222-2-2-2-2222200000000000000002-2-220000002-200-22000000000000
χ402-2-220022-22-2-2-20000-2222000-2-200002-2200-2-20000-2-200002222-2-222-2-222-2-2-2-222220000000000000000-222-2000000-22002-2000000000000
χ412-2-22002-1-22-211−i3−i3i3i3-22-1-100011−i3−i3i3i3-12-200-2100−i3i311−i3−i3i3i32-1-1-122-2-2-1-111-1-1-1-111110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32-22-2000000-11−i3i3-11−i3i30000000000
χ422-2-22002-1-22-211−i3−i3i3i3-22-1-100011−i3−i3i3i3-12-200-2100−i3i311−i3−i3i3i32-1-1-122-2-2-1-111-1-1-1-111110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3-22-220000001-1i3−i31-1i3−i30000000000
χ432-2-22002-1-22-211−i3−i3i3i3-22-1-100011−i3−i3i3i3-1-2200-2100−i3i311−i3−i3i3i32-1-1-1-2-22211-1-11111-1-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32-2-22000000-11−i3i31-1i3−i30000000000
χ442-2-22002-1-22-211−i3−i3i3i3-22-1-100011−i3−i3i3i3-1-2200-2100−i3i311−i3−i3i3i32-1-1-1-2-22211-1-11111-1-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3-222-20000001-1i3−i3-11−i3i30000000000
χ452-2-22002-1-22-211i3i3−i3−i3-22-1-100011i3i3−i3−i3-12-200-2100i3−i311i3i3−i3−i32-1-1-122-2-2-1-111-1-1-1-111110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32-22-2000000-11i3−i3-11i3−i30000000000
χ462-2-22002-1-22-211i3i3−i3−i3-22-1-100011i3i3−i3−i3-12-200-2100i3−i311i3i3−i3−i32-1-1-122-2-2-1-111-1-1-1-111110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3-22-220000001-1−i3i31-1−i3i30000000000
χ472-2-22002-1-22-211i3i3−i3−i3-22-1-100011i3i3−i3−i3-1-2200-2100i3−i311i3i3−i3−i32-1-1-1-2-22211-1-11111-1-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32-2-22000000-11i3−i31-1−i3i30000000000
χ482-2-22002-1-22-211i3i3−i3−i3-22-1-100011i3i3−i3−i3-1-2200-2100i3−i311i3i3−i3−i32-1-1-1-2-22211-1-11111-1-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3-222-20000001-1−i3i3-11i3−i30000000000
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χ52444444-2-244-2-2-2-2-2-2-2-2-2-214-2-21111111-4-4-4-4-2-2-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.