Finite Group Databasebeta

← Group #11790532

Character table — Group #11790532

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12442223344466661212121212123666666661212121212121212128888668812122424242424242424242424242424242488888824242424242424248888242424242424242424242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-11111-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−iii−i−i1-11111-1-1-1-1i−i1-1ii−i−iii−i−i11-1-1ii−i−i1-1
χ1011-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-11111-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i−i−iii1-11111-1-1-1-1i−i-11ii−i−i−i−iii-1-111−i−iii-11
χ1111-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-11111-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiiiii−i−i1-11111-1-1-1-1−ii-11−i−iiiii−i−i-1-111ii−i−i-11
χ1211-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-11111-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii−i−iii1-11111-1-1-1-1−ii1-1−i−iii−i−iii11-1-1−i−iii1-1
χ1311-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-111-1-1i−i11iiii−i−i−i−iiiii−i−i−i−iii−i−i-11-1-1-1-11111−ii1-1−i−iiiii−i−i11-1-1−i−iii-11
χ1411-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-111-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i−i−iii-11-1-1-1-11111−ii-11−i−iii−i−iii-1-111ii−i−i1-1
χ1511-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-111-1-1−ii11−i−i−i−iiiii−i−i−i−iiiiiii−i−i-11-1-1-1-11111i−i-11ii−i−iii−i−i-1-111−i−iii1-1
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χ1822222222-1222222-12222-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12-10000-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000-2-2000011111111000000
χ1922222222-1222222-12222-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12-10000-1-1-2-2-1-1-2-211-2-211111111112222000000000000-2-20000-1-1-1-11111000000
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χ242222222-12222-1-1-12-1-1-1-122-12-1-122-1-1-1-122-1-1-1-1-12-2-2-2-2-1-1-2-2-1-111-2-211-2-2111111110000-2-2111111112200-1-1-1-100000000000000
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χ282222-22-222-2-22-2-222-2-222222-22-22-2-2-222-2-2-2-222-2200002-2002-20000000000000000-22-22000000000000000000-22-220000000000
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χ5422-2-2-22-2-1222-211-12-1-111-2-2-1-2-112-211-1122-1-111-1-2-2-222-11001-1−33003−300−33−333−33−300002-211-1-1-1-11100003−3−3300000000000000
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χ914-4−4i4i0004400000-4-400−4i4i−4i4i40000000-400000−4i4i0022−222i2−2i2000000000000000000000000000022−22002i2−2i2000000000000000000000000
χ924-4−4i4i0004400000-4-400−4i4i−4i4i40000000-400000−4i4i00−2222−2i22i20000000000000000000000000000−222200−2i22i2000000000000000000000000
χ934-4−4i4i000-24000−2i32i32-4−23232i−2i−4i4i-200000−2i32i32000−23232i−2i0022−222i2−2i20000000000000000000000000000−22i6−i6−i2i2−660000000000000000000000
χ944-4−4i4i000-24000−2i32i32-4−23232i−2i−4i4i-200000−2i32i32000−23232i−2i00−2222−2i22i200000000000000000000000000002−2−i6i6i2−i26−60000000000000000000000
χ954-4−4i4i000-240002i3−2i32-423−232i−2i−4i4i-2000002i3−2i3200023−232i−2i0022−222i2−2i20000000000000000000000000000−22−i6i6−i2i26−60000000000000000000000
χ964-4−4i4i000-240002i3−2i32-423−232i−2i−4i4i-2000002i3−2i3200023−232i−2i00−2222−2i22i200000000000000000000000000002−2i6−i6i2−i2−660000000000000000000000
χ978-88i−8i0008-400000-84008i−8i−4i4i-40000000400000−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i34443−43−4i4i−4i4i2000002i3−2i3-2000−23232i−2i0000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4343−4i4i−4i4i200000−2i32i3-200023−232i−2i0000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-400000-8400−8i8i4i−4i-400000004000004i−4i0000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i344−43434i−4i4i−4i2000002i3−2i3-200023−23−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i34443−434i−4i4i−4i200000−2i32i3-2000−2323−2i2i0000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).