Finite Group Databasebeta

← Group #11782917

Character table — Group #11782917

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222244444444444444444444444444444444444444444444444444444444444444443636363636363636484848484848484848484848
order1222334444446666663666888812121212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424248888888822246666661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111
χ71111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-111-1-111
χ81111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-111-1-1
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
χ1022222222-2-2-2-22222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222200000000000000000000
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χ14222222-2-2-2-22222222222220000-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2220000000000000000
χ1522222-122222222-1-1-12-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000220000-1-1-1-100
χ1622222-122222222-1-1-12-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-20000111100
χ1722222-122222222-1-1-12-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000002-20000-1-11100
χ1822222-122222222-1-1-12-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000-22000011-1-100
χ1922222-122-2-2-2-222-1-1-12-1-1-1-122-2-2-2-211-2-21111111111-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000−i3i3−i3i300
χ2022222-122-2-2-2-222-1-1-12-1-1-1-122-2-2-2-211-2-21111111111-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000i3−i3i3−i300
χ2122222-122-2-2-2-222-1-1-12-1-1-1-1-2-222-2-211-2-21111111111-1-122-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000000000−i3i3i3−i300
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χ242222-12222222-1-1222-1-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000-2-211000011
χ252222-12222222-1-1222-1-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100000000002-2-1-1000011
χ262222-12222222-1-1222-1-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000000-22110000-1-1
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χ282222-1222-2-2-2-2-1-1222-1-1-1-1-122-2-211-2-211-2-21111111122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000i3−i30000i3−i3
χ292222-1222-2-2-2-2-1-1222-1-1-1-1-1-2-22211-2-211-2-21111111122-1-1-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000−i3i30000i3−i3
χ302222-1222-2-2-2-2-1-1222-1-1-1-1-1-2-22211-2-211-2-21111111122-1-1-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000i3−i30000−i3i3
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χ834-44-4-2-200-44002-222-221-1-1100002-22-20000-11-113i−3i3i−3i0000−3i3i3i−3i6−6−66i6−i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−666−6i6−i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000
χ844-44-4-2-200-44002-222-221-1-1100002-22-20000-11-113i−3i3i−3i0000−3i3i3i−3i−666−6−i6i6i6−i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ236−6−66−i6i6i6−i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000
χ854-44-4-2-200-44002-222-221-1-1100002-22-20000-11-11−3i3i−3i3i00003i−3i−3i3i6−6−66−i6i6i6−i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−666−6−i6i6i6−i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000
χ864-44-4-2-200-44002-222-221-1-1100002-22-20000-11-11−3i3i−3i3i00003i−3i−3i3i−666−6i6−i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ136−6−66i6−i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000
χ874-4-444-24-40000-4-4-2224-2-222004-40000000000000000-224-4-2-222000000000000000044-4-4-2-222-2-2-2-2222200000000000000000000
χ884-4-444-24-40000-4-4-2224-2-22200-440000000000000000-224-4-2-2220000000000000000-4-44422-2-22222-2-2-2-200000000000000000000
χ894-4-444-2-440000-4-4-2224-2-2224-40000000000000000002-2-4422-2-244-4-4-2-222-2-2-2-22222000000000000000000000000000000000000
χ904-4-444-2-440000-4-4-2224-2-222-440000000000000000002-2-4422-2-2-4-44422-2-22222-2-2-2-2000000000000000000000000000000000000
χ914-4-44-244-40000224-4-4-2-2-222004-400000000000000004-4-22-2-2220000000000000000-2-22244-4-4-2-2-2-2222200000000000000000000
χ924-4-44-244-40000224-4-4-2-2-22200-4400000000000000004-4-22-2-222000000000000000022-2-2-4-4442222-2-2-2-200000000000000000000
χ934-4-44-24-440000224-4-4-2-2-2224-4000000000000000000-442-222-2-2-2-22244-4-4-2-2-2-22222000000000000000000000000000000000000
χ944-4-44-24-440000224-4-4-2-2-222-44000000000000000000-442-222-2-222-2-2-4-4442222-2-2-2-2000000000000000000000000000000000000
χ954-4-44-2-24-4000022-222-211-1-1004-4000000003i−3i−3i3i−3i3i3i−3i-22-2211-1-100000000−3i−3i3i3i3i3i−3i−3i-2-222-2-2221111-1-1-1-100000000000000000000
χ964-4-44-2-24-4000022-222-211-1-1004-400000000−3i3i3i−3i3i−3i−3i3i-22-2211-1-1000000003i3i−3i−3i−3i−3i3i3i-2-222-2-2221111-1-1-1-100000000000000000000
χ974-4-44-2-24-4000022-222-211-1-100-44000000003i−3i−3i3i−3i3i3i−3i-22-2211-1-1000000003i3i−3i−3i−3i−3i3i3i22-2-222-2-2-1-1-1-1111100000000000000000000
χ984-4-44-2-24-4000022-222-211-1-100-4400000000−3i3i3i−3i3i−3i−3i3i-22-2211-1-100000000−3i−3i3i3i3i3i−3i−3i22-2-222-2-2-1-1-1-1111100000000000000000000
χ994-4-44-2-2-44000022-222-211-1-14-400000000003i−3i−3i3i3i−3i−3i3i2-22-2-1-111-2-222-2-2221111-1-1-1-1000000003i3i−3i−3i−3i−3i3i3i00000000000000000000
χ1004-4-44-2-2-44000022-222-211-1-14-40000000000−3i3i3i−3i−3i3i3i−3i2-22-2-1-111-2-222-2-2221111-1-1-1-100000000−3i−3i3i3i3i3i−3i−3i00000000000000000000
χ1014-4-44-2-2-44000022-222-211-1-1-4400000000003i−3i−3i3i3i−3i−3i3i2-22-2-1-11122-2-222-2-2-1-1-1-1111100000000−3i−3i3i3i3i3i−3i−3i00000000000000000000
χ1024-4-44-2-2-44000022-222-211-1-1-440000000000−3i3i3i−3i−3i3i3i−3i2-22-2-1-11122-2-222-2-2-1-1-1-11111000000003i3i−3i−3i−3i−3i3i3i00000000000000000000

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