Finite Group Databasebeta

← Group #11786590

Character table — Group #11786590

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212126688121224242424242424242424242424242424444444444444121212121212121244121212121212121212121212222288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ911-1-11-111-1-11111-1-1-1-1-1-111111-1-1-11-111-1-1-1-1-11111-11-11-111-1-1111111-1-1-1-1-1-1i−ii−ii−ii−iii−i−iiiii−i−i−i−ii−iii−i−ii−ii−iii−i−i11-1-11-1
χ1011-1-11-111-1-11111-1-1-1-1-1-111111-1-1-11-111-1-1-1-1-11111-11-11-111-1-1111111-1-1-1-1-1-1i−i−iii−i−iiii−i−iiiii−i−i−i−i−iiii−i−i−ii−ii−i−iii-1-111-11
χ1111-1-11-111-1-11111-1-1-1-1-1-111111-1-1-11-111-1-1-1-1-11111-11-11-111-1-1111111-1-1-1-1-1-1−iii−i−iii−i−i−iii−i−i−i−iiiiii−i−i−iiii−ii−iii−i−i-1-111-11
χ1211-1-11-111-1-11111-1-1-1-1-1-111111-1-1-11-111-1-1-1-1-11111-11-11-111-1-1111111-1-1-1-1-1-1−ii−ii−ii−ii−i−iii−i−i−i−iiiii−ii−i−iii−ii−ii−i−iii11-1-11-1
χ1311-1-11-111-1-11111-1-1-1-1-1-111111-1-1-11-111-1-1-1-1-11111-1-111-1-1-111-1-1-1-1-1-1111111i−ii−ii−ii−i−i−iii−i−i−i−iiiii−iiii−i−ii−ii−i−i−iii11-1-1-11
χ1411-1-11-111-1-11111-1-1-1-1-1-111111-1-1-11-111-1-1-1-1-11111-1-111-1-1-111-1-1-1-1-1-1111111i−i−iii−i−ii−i−iii−i−i−i−iiiiii−iii−i−i−ii−iiii−i−i-1-1111-1
χ1511-1-11-111-1-11111-1-1-1-1-1-111111-1-1-11-111-1-1-1-1-11111-1-111-1-1-111-1-1-1-1-1-1111111−iii−i−iii−iii−i−iiiii−i−i−i−i−ii−i−iiii−ii−i−i−iii-1-1111-1
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χ25222222-122222-12-1-122-1-1-1-1-1-122-1-1-1-1-12-122-1-12-1-1-1-1-2-2-1-11111-2-21111-2-2111122002200-2-2-2-21111111100-1-1-1-100000000000000
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χ332222-2-22-12-22-22-122-1-12222-1-211-1-1-1-2-21-2-11-1-1-1-1-11100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3002200-2-2000000000000000000-1-111i3−i3i3−i3000000
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χ894-44-400-2400002-4-224-4−2323−2323-2000-222000000−23230−23230000000000000000000000000000002i−2i2i−2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000
χ904-44-400-2400002-4-224-4−2323−2323-2000-222000000−23230−2323000000000000000000000000000000−2i2i−2i2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000
χ914-4-4400440000-4-4-44-4400004000-44-4000000000000000000000000000000000000000002-2-222-22-2-22-2200000000000000000000
χ924-4-4400440000-4-4-44-4400004000-44-400000000000000000000000000000000000000000-222-2-22-222-22-200000000000000000000
χ934-4-4400-2400002-42-2-4423−23−2323-20002-2200000023−230−23230000000000000000000000000000002-2-22−1−31+3−1+31−31+3−1−31−3−1+300000000000000000000
χ944-4-4400-2400002-42-2-4423−23−2323-20002-2200000023−230−2323000000000000000000000000000000-222-21+3−1−31−3−1+3−1−31+3−1+31−300000000000000000000
χ954-4-4400-2400002-42-2-44−232323−23-20002-22000000−2323023−230000000000000000000000000000002-2-22−1+31−3−1−31+31−3−1+31+3−1−300000000000000000000
χ964-4-4400-2400002-42-2-44−232323−23-20002-22000000−2323023−23000000000000000000000000000000-222-21−3−1+31+3−1−3−1+31−3−1−31+300000000000000000000
χ978-88-8008-40000-848-8-440000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-4000044-44-4443−4343−4320002-2-2000000−23230−232300000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-4000044-44-44−4343−434320002-2-200000023−23023−2300000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-84-884-40000-40004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000444-44-443−43−43432000-22-2000000−2323023−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-40000444-44-4−434343−432000-22-200000023−230−232300000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.