Finite Group Databasebeta

← Group #11797395

Character table — Group #11797395

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order1244233466888812121212234666668812121212121224242424242424246666121212122424242424242424242424244444161616161616161648484848484848484848484848484848448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ5111111111111111111-11-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1
χ6111111111111111111-11-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ7111111111111111111-11-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111
χ8111111111111111111-11-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111
χ91111111111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-1-1-1
χ101111111111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-1-1-1
χ111111111111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-1-11111
χ121111111111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-1-11111
χ131111111111-1-1-1-11111-11-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-1-1-1-111
χ141111111111-1-1-1-11111-11-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-1-1-111
χ151111111111-1-1-1-11111-11-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i1111-1-1
χ161111111111-1-1-1-11111-11-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii1111-1-1
χ17222222-122-1222222-1-12-122-1-1-1-1222-1-1-1-1-12222-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-1-1-1-1-1000000
χ18222222-122-1222222-1-12-122-1-1-1-1222-1-1-1-1-12222-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20000000011111111000000
χ19222222-122-1222222-1-1-2-1-22-1-1-1-1-2-22-1-1-1-1-12222-1-1-1-1-2111-2111-2-211-1-1-1-111110000000022-2-200000000-1-1-1-11111000000
χ20222222-122-1222222-1-1-2-1-22-1-1-1-1-2-22-1-1-1-1-12222-1-1-1-1-2111-2111-2-211-1-1-1-1111100000000-2-222000000001111-1-1-1-1000000
χ21222222-122-1-2-2-2-222-1-12-122-1-1-1-1-2-22-1-1-1-1-1-2-2-2-211112-1-1-12-1-1-1-2-21111111111000000002i−2i2i−2i00000000−i−iii−i−iii000000
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χ2922222-122-12-2-2-2-2-1-1222-12-12-1-1-1-2-2-12-1-1-1-11111-2-2-2-2-12-1-1-12-1-111-2-21111111100002i−2i2i−2i0000−i−iii−i−iii00000000000000
χ3022222-122-12-2-2-2-2-1-1222-12-12-1-1-1-2-2-12-1-1-1-11111-2-2-2-2-12-1-1-12-1-111-2-2111111110000−2i2i−2i2i0000ii−i−iii−i−i00000000000000
χ3122222-122-12-2-2-2-2-1-122-2-1-2-12-1-1-122-12-1-1-1-11111-2-2-2-21-2111-211-1-1221111-1-1-1-100002i−2i−2i2i0000−i−iiiii−i−i00000000000000
χ3222222-122-12-2-2-2-2-1-122-2-1-2-12-1-1-122-12-1-1-1-11111-2-2-2-21-2111-211-1-1221111-1-1-1-10000−2i2i2i−2i0000ii−i−i−i−iii00000000000000
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χ4322-2-222-1-22-12i−2i2i−2i-2-211-2-122-1-1-1-1−2i2i-2111112i−2i2i−2i−ii−ii-21112-1-1-1−2i2ii−i−ii−iiii−i−i00000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ4422-2-222-1-22-12i−2i2i−2i-2-211-2-122-1-1-1-1−2i2i-2111112i−2i2i−2i−ii−ii-21112-1-1-1−2i2ii−i−ii−iiii−i−i00000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
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χ4722-2-222-1-22-1−2i2i−2i2i-2-211-2-122-1-1-1-12i−2i-211111−2i2i−2i2ii−ii−i-21112-1-1-12i−2i−iii−ii−i−i−iii00000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ4822-2-222-1-22-1−2i2i−2i2i-2-211-2-122-1-1-1-12i−2i-211111−2i2i−2i2ii−ii−i-21112-1-1-12i−2i−iii−ii−i−i−iii00000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
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χ5122-2-22-12-2-122i−2i2i−2i11-2-2-2-12-12-1-1-1−2i2i1-21111−ii−ii2i−2i2i−2i1-211-12-1-1i−i−2i2i−ii−iiii−i−i000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000
χ5222-2-22-12-2-122i−2i2i−2i11-2-2-2-12-12-1-1-1−2i2i1-21111−ii−ii2i−2i2i−2i1-211-12-1-1i−i−2i2i−ii−iiii−i−i000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000
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χ5422-2-22-12-2-12−2i2i−2i2i11-2-22-1-2-12-1-1-1−2i2i1-21111i−ii−i−2i2i−2i2i-12-1-11-211i−i−2i2ii−ii−iii−i−i000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000
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χ8244-4-4-4-2-24-2-24i−4i−4i4i222201022-1-1100-2-211-1-1−2i2i2i−2i−2i2i2i−2i00-33003-30000i−i−ii−3i3i3i−3i0000000000000000000000000000000000
χ8344-4-4-4-2-24-2-2−4i4i4i−4i222201022-1-1100-2-211-1-12i−2i−2i2i2i−2i−2i2i003-300-330000−iii−i−3i3i3i−3i0000000000000000000000000000000000
χ8444-4-4-4-2-24-2-2−4i4i4i−4i222201022-1-1100-2-211-1-12i−2i−2i2i2i−2i−2i2i00-33003-30000−iii−i3i−3i−3i3i0000000000000000000000000000000000
χ854-44i−4i0440-4-400004i−4i4i−4i0400000-40000004i−4i00000000000000000000000000002+2i−2−2i2−2i−2+2i000000000000000000000000000000
χ864-44i−4i0440-4-400004i−4i4i−4i0400000-40000004i−4i0000000000000000000000000000−2−2i2+2i−2+2i2−2i000000000000000000000000000000
χ874-4−4i4i0440-4-40000−4i4i−4i4i0400000-4000000−4i4i00000000000000000000000000002−2i−2+2i2+2i−2−2i000000000000000000000000000000
χ884-4−4i4i0440-4-40000−4i4i−4i4i0400000-4000000−4i4i0000000000000000000000000000−2+2i2−2i−2−2i2+2i000000000000000000000000000000
χ898-88i−8i08-40-8400008i−8i−4i4i0-4000004000000−4i4i00000000000000000000000000000000000000000000000000000000000000
χ908-88i−8i0-4804-80000−4i4i8i−8i0-4000004000000−4i4i00000000000000000000000000000000000000000000000000000000000000
χ918-88i−8i0-4-40440000−4i4i−4i4i020006-6-200006i−6i2i−2i00000000000000000000000000000000000000000000000000000000000000
χ928-88i−8i0-4-40440000−4i4i−4i4i02000-66-20000−6i6i2i−2i00000000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i08-40-840000−8i8i4i−4i0-40000040000004i−4i00000000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0-4804-800004i−4i−8i8i0-40000040000004i−4i00000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i0-4-404400004i−4i4i−4i020006-6-20000−6i6i−2i2i00000000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i0-4-404400004i−4i4i−4i02000-66-200006i−6i−2i2i00000000000000000000000000000000000000000000000000000000000000

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