Finite Group Databasebeta

← Group #11796374

Character table — Group #11796374

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order1244233466661212121212122223444666666661212121212121212126666666666121212121212121212124444121212121212121224444466121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-111-1-1111111-1-11-1-11111111-1-1-111-1-1-1-11-1-1-111-1-1-1-1111111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−iii−i−i
χ61111111111111111111-1-111-1-1111111-1-11-1-11111111-1-1-111-1-1-1-11-1-1-111-1-1-1-1111111111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii−i−iii
χ71111111111111111111-1-111-1-1111111-1-11-1-11111111-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i1111iiii−i−i−i−i−i−iii
χ81111111111111111111-1-111-1-1111111-1-11-1-11111111-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii1111−i−i−i−iiiiiii−i−i
χ911-1-1111-11111-1-1-1-1-1-1-11111-1-11-1-111111-1-1-111-1-1-1-1-1111-1-111111-1-1-111-1-1-1-111-1-11111-1-1-1-11-11-11-111-1-111-1-111-1-11-11-1
χ1011-1-1111-11111-1-1-1-1-1-1-11111-1-11-1-111111-1-1-111-1-1-1-1-1111-1-111111-1-1-111-1-1-1-111-1-11111-1-1-1-11-1-11-1111-1-1-1-111-1-111-11-11
χ1111-1-1111-11111-1-1-1-1-1-1-11111-1-11-1-111111-1-1-111-1-1-1-1-1111-1-111111-1-1-111-1-1-1-1-1-111-1-1-1-11111-111-11-1-1-11111-1-111-1-1-11-11
χ1211-1-1111-11111-1-1-1-1-1-1-11111-1-11-1-111111-1-1-111-1-1-1-1-1111-1-111111-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-11-11-1-111-1-111-1-1111-11-1
χ1311-1-1111-11111-1-1-1-1-1-1-1-1-111111-1-1111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-11i−i−ii-1-111ii−i−i−i−iiii−i−ii
χ1411-1-1111-11111-1-1-1-1-1-1-1-1-111111-1-1111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-11−iii−i-1-111−i−iiiii−i−i−iii−i
χ1511-1-1111-11111-1-1-1-1-1-1-1-1-111111-1-1111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111-1i−i−ii11-1-1ii−i−i−i−iii−iii−i
χ1611-1-1111-11111-1-1-1-1-1-1-1-1-111111-1-1111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111-1−iii−i11-1-1−i−iiiii−i−ii−i−ii
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χ20222222-122-1-1-122-1-1-1-1222-12222-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200001111000000000000
χ21222222-122-1-1-122-1-1-1-12-2-2-12-2-22-1-1-1-1-1-2-22-2-2-1-1-1-1-1-12-211-1-111112-211-1-111112222-1-1-1-1-1-1-1-1-2-200001111000000000000
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χ25222222-122-1-1-122-1-1-1-1-2-22-1-2-22211-1-1-1-2-22-2-211-1-1-1-1-221-11111-1-1-221-11111-1-10000−i3−i3i3i3−i3−i3i3i3000000i3−i3i3−i3000000000000
χ26222222-122-1-1-122-1-1-1-1-2-22-1-2-22211-1-1-1-2-22-2-211-1-1-1-1-221-11111-1-1-221-11111-1-10000i3i3−i3−i3i3i3−i3−i3000000−i3i3−i3i3000000000000
χ2722222-122-1222-1-12222222-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-10000
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χ2922222-122-1222-1-122222-2-2-12-2-2-122-1-1-111-11122-1-1-1-1-11-2-2-1-11111-11-2-2-1-11111000000000000002i2i−2i−2i0000−i−i−i−iiiii0000
χ3022222-122-1222-1-122222-2-2-12-2-2-122-1-1-111-11122-1-1-1-1-11-2-2-1-11111-11-2-2-1-1111100000000000000−2i−2i2i2i0000iiii−i−i−i−i0000
χ3122222-122-1222-1-12222-22-2-1-22-2-1-2-2-1-1-1-1-1-1-1-1-2-2-1-1-1-1112-211-1-111112-211-1-1110000000000000000000000−i3i3−i3i3−i3i3−i3i30000
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χ3522-2-2222-22222-2-2-2-2-2-222-22-2-2222222222-2-2-2-2-2-2-2-2-22-22-22222-2-2-22-22-2-2-2-2220000000000000000000000000000000000
χ3622-2-2222-22222-2-2-2-2-2-22-222-22-2222222-2-2-222-2-2-2-2-2-222-2222-2-222-2-22-2-2-222-2-20000000000000000000000000000000000
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χ4122-2-222-1-22-1-1-1-2-21111-222-12-2-2211-1-1-122-2-2-2-1-11111-22-1-111-1-1-1-12-211-1-1111122-2-2-1-1-1-111112-20000-1-111000000000000
χ4222-2-222-1-22-1-1-1-2-21111-222-12-2-2211-1-1-122-2-2-2-1-11111-22-1-111-1-1-1-12-211-1-11111-2-2221111-1-1-1-1-22000011-1-1000000000000
χ4322-2-222-1-22-1-1-1-2-21111-2-2-2-1222211-1-1-1-2-2-222-1-11111-2-21111111122-1-1-1-1-1-1-1-122-2-2-1-1-1-11111-22000011-1-1000000000000
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χ928-88i−8i0-4-404−4i34i34−4i4i−4i4i43−4300020000002i3−2i3-200000002i−2i−2323000000000000000000000000000000000000000000000000000000
χ938-88i−8i0-4-4044i3−4i34−4i4i−4i4i−43430002000000−2i32i3-200000002i−2i23−23000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0-480400-84i−4i−8i8i00000-400000000400000004i−4i00000000000000000000000000000000000000000000000000000000
χ958-8−8i8i0-4-404−4i34i344i−4i4i−4i−434300020000002i3−2i3-20000000−2i2i23−23000000000000000000000000000000000000000000000000000000
χ968-8−8i8i0-4-4044i3−4i344i−4i4i−4i43−430002000000−2i32i3-20000000−2i2i−2323000000000000000000000000000000000000000000000000000000

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