Finite Group Databasebeta

← Group #11793997

Character table — Group #11793997

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order124422233444666612121212121236666666612121212121212121244661212121212121212121212121212121212128888242424242424242424446688121212121212242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-111
χ922222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-100-1-1-1-1-1-100000000
χ1022222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2110011111100000000
χ1122222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2-1-111111111111100000000000022-2-2-1-100-1-1111100000000
χ1222222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2-1-1111111111111000000000000-2-222110011-1-1-1-100000000
χ132222222-12222-1-1-12-1-122-1-1-1-1-122-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000022000000-1-1-1-10000
χ142222222-12222-1-1-12-1-122-1-1-1-1-122-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111000000-2-200000011110000
χ152222222-12222-1-1-12-1-122-1-1-1-1-122-1-1-12-1-1222-1-1-1-1-2-2-1-11111-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1000000-2-200000011110000
χ162222222-12222-1-1-12-1-122-1-1-1-1-122-1-1-12-1-1222-1-1-1-1-2-2-1-11111-1-1-2-2-2-211111111-2-2-2-21111111100000022000000-1-1-1-10000
χ1722222-2-222-2-2222222222222-2-2-22222-2-2-22-2-2222200-2-20000-2-20000000000000000000000000000002-200000022-2-20000
χ1822222-2-222-2-2222222222222-2-2-22222-2-2-22-2-2222200-2-20000-2-2000000000000000000000000000000-22000000-2-2220000
χ1922222-2-2-12-2-22-1-1-12-1-122-1-1-111-22-1-1-1-2112-2-2-1-1-1-10011−i3−i3i3i3110000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000002-2000000-1-1110000
χ2022222-2-2-12-2-22-1-1-12-1-122-1-1-111-22-1-1-1-2112-2-2-1-1-1-10011−i3−i3i3i3110000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i3000000-2200000011-1-10000
χ2122222-2-2-12-2-22-1-1-12-1-122-1-1-111-22-1-1-1-2112-2-2-1-1-1-10011i3i3−i3−i3110000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i3000000-2200000011-1-10000
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χ3122-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22-2222-22-2-2-22-22-22-22-22-22-20000000000000000000000000000000000
χ3222-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2222-22-22-2-2-22-22-22-22-22-220000000000000000000000000000000000
χ3322-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2-211111112-2-1-12-22-211-11-11-11-11-11-110000000000000000−i3i300i3−i3−i3i3−i3i300000000
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χ4022-2-2222-12-2-2-2-1-1-1211-2-211-1-1-122-1-1-1211-2-2-21111-22-1-11-11-111-22-221-11-11-11-10000−3−333−3−333000000000000003−33−30000
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χ4422-2-22-2-2-1222-2-1-1-1211-2-211-111-22-1-1-1-2-1-1-22211110011−i3i3i3−i3-1-10000−i3i3−i3i3i3−i3i3−i3−2i−2i2i2iii−i−i−i−iii00000000000000−333−30000
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χ5122-2-2-2-222-12-222-2-2-1-2-21122-1-22-11-11112-2-1-1111-1-1001-10000-113−3−333−3−333−3−330000000000002-200-1-100113−3−3300000000
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χ554444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211114411-2-2-2-211-2-2-2-2111111110000000000000000000000000000000000
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χ948-8−8i8i0008-4000-8004−8i8i4i−4i00-400004000000004i−4i0000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-40004−4i34i344i−4i4i−4i−434320000-22i3−2i3000000−2i2i23−2300000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-400044i3−4i344i−4i4i−4i43−4320000-2−2i32i3000000−2i2i−232300000000000000000000000000000000000000000000000000000000

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