Finite Group Databasebeta

← Group #11782846

Character table — Group #11782846

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222244444444444444444444444444444444444444444444444444444444444444443636363636363636484848484848484848484848
order12223344444466666636668888121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242488888888244466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-1
χ61111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111
χ71111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111
χ81111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1
χ922222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000
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χ14222222-2-2-2-22222222222220000-2-222-2-222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2220000000000000000
χ1522222-122222222-1-1-12-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002200-1-1-1-10000
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χ1722222-122222222-1-1-12-1-1-1-1-2-2-2-222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000002-200-1-1110000
χ1822222-122222222-1-1-12-1-1-1-1-2-2-2-222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000-220011-1-10000
χ1922222-122-2-2-2-222-1-1-12-1-1-1-122-2-2-2-21111-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000−i3i3−i3i30000
χ2022222-122-2-2-2-222-1-1-12-1-1-1-122-2-2-2-21111-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000i3−i3i3−i30000
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χ252222-12222222-1-1222-1-1-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100000000002-20000-1-111
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χ884-4-444-200004-4-4-42-224-222-2000000-22004-40000-222-2000000000000−666−6−66−666−66−600006−6−666−66−6−66−6600000000000000000000
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χ914-4-44-2400004-422-44-4-2-222-20000004-400-220000-222-200000000i6−i6−i6i60000i6−i6−i6i6−i6i6i6−i6i6−i6−i6i60000i6−i6−i6i6−i6i6i6−i600000000000000000000
χ924-4-44-2400004-422-44-4-2-222-20000004-400-220000-222-200000000−i6i6i6−i60000−i6i6i6−i6i6−i6−i6i6−i6i6i6−i60000−i6i6i6−i6i6−i6−i6i600000000000000000000
χ934-4-44-240000-4422-44-4-2-222-2000000-44002-200002-2-2200000000i6−i6−i6i60000i6−i6−i6i6−i6i6i6−i6−i6i6i6−i60000−i6i6i6−i6i6−i6−i6i600000000000000000000
χ944-4-44-240000-4422-44-4-2-222-2000000-44002-200002-2-2200000000−i6i6i6−i60000−i6i6i6−i6i6−i6−i6i6i6−i6−i6i60000i6−i6−i6i6−i6i6i6−i600000000000000000000
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χ994-4-44-2-20000-44222-22-21-1-110000002-2002-23i−3i−3i3i-111-100003i−3i−3i3ii6−i6−i6i6−666−6−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−i6i6i6−i6−666−6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000
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χ1014-4-44-2-20000-44222-22-21-1-110000002-2002-2−3i3i3i−3i-111-10000−3i3i3i−3ii6−i6−i6i66−6−66−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−i6i6i6−i66−6−66ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000
χ1024-4-44-2-20000-44222-22-21-1-110000002-2002-2−3i3i3i−3i-111-10000−3i3i3i−3i−i6i6i6−i6−666−6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23i6−i6−i6i6−666−6−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.