Finite Group Databasebeta

← Group #11790540

Character table — Group #11790540

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12442223344466661212121212123666666661212121212121212128888668812122424242424242424242424242424242488888824242424242424248888242424242424242424242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
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
χ911-1-11-1-111-111-1-111-1-111-1-1111-1-1-1-1-111-1-1-1-1111111-1-11-11-11-111-1-1111111-1-1-1-1-1-1ii−i−i1-11111-1-1-1-1i−i1-111-1-1ii−i−iii−i−iii−i−ii−i
χ1011-1-11-1-111-111-1-111-1-111-1-1111-1-1-1-1-111-1-1-1-1111111-1-11-11-11-111-1-1111111-1-1-1-1-1-1−i−iii1-11111-1-1-1-1−ii1-111-1-1−i−iii−i−iii−i−iii−ii
χ1111-1-11-1-111-111-1-111-1-111-1-1111-1-1-1-1-111-1-1-1-1111111-1-11-1-111-1-1-111-1-1-1-1-1-1111111ii−i−i1-11111-1-1-1-1−ii-11-1-111ii−i−i−i−iiiii−i−i−ii
χ1211-1-11-1-111-111-1-111-1-111-1-1111-1-1-1-1-111-1-1-1-1111111-1-11-1-111-1-1-111-1-1-1-1-1-1111111−i−iii1-11111-1-1-1-1i−i-11-1-111−i−iiiii−i−i−i−iiii−i
χ1311-1-11-1-111-111-1-111-1-111-1-1111-1-1-1-1-111-1-1-1-11111-1-1111-11-11-111-1-1111111-1-1-1-1-1-1ii−i−i-11-1-1-1-11111i−i-11-1-111ii−i−iii−i−i−i−iii−ii
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χ1511-1-11-1-111-111-1-111-1-111-1-1111-1-1-1-1-111-1-1-1-11111-1-1111-1-111-1-1-111-1-1-1-1-1-1111111ii−i−i-11-1-1-1-11111−ii1-111-1-1ii−i−i−i−iii−i−iiii−i
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χ1822222222-1222222-12222-1-1-12-12-1-1-1-1-1-12-1-1-1-1-1-120000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-200000011111111000000
χ1922222222-1222222-12222-1-1-12-12-1-1-1-1-1-12-1-1-1-1-1-120000-1-1-2-2-1-1-2-2-2-211111111111122220000000000-2-2000000-1-1-1-11111000000
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χ5422-2-2-22-2-1222-2-1-1-121111-2-2-11-212-2-1-1-12-1211-211-1-2-2221100-1-1−333−300−33−33003−33−300002-211-1-1-1-11100003−3−3300000000000000
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χ924-4−4i4i0004400000-4-4−4i4i00−4i4i40000000-4000−4i4i0000−2222−2i22i20000000000000000000000000000−222200−2i22i2000000000000000000000000
χ934-4−4i4i000-24000−2i32i32-42i−2i−2323−4i4i-200000−2i32i320002i−2i0−2323022−222i2−2i20000000000000000000000000000−22−66−i2i2i6−i60000000000000000000000
χ944-4−4i4i000-24000−2i32i32-42i−2i−2323−4i4i-200000−2i32i320002i−2i0−23230−2222−2i22i200000000000000000000000000002−26−6i2−i2−i6i60000000000000000000000
χ954-4−4i4i000-240002i3−2i32-42i−2i23−23−4i4i-2000002i3−2i320002i−2i023−23022−222i2−2i20000000000000000000000000000−226−6−i2i2−i6i60000000000000000000000
χ964-4−4i4i000-240002i3−2i32-42i−2i23−23−4i4i-2000002i3−2i320002i−2i023−230−2222−2i22i200000000000000000000000000002−2−66i2−i2i6−i60000000000000000000000
χ978-88i−8i0008-400000-848i−8i00−4i4i-400000004000−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i344−4i4i43−43−4i4i2000002i3−2i3-20002i−2i0−2323000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4i4i−4343−4i4i200000−2i32i3-20002i−2i023−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-400000-84−8i8i004i−4i-4000000040004i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i3444i−4i−43434i−4i2000002i3−2i3-2000−2i2i023−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i3444i−4i43−434i−4i200000−2i32i3-2000−2i2i0−2323000000000000000000000000000000000000000000000000000000000000000

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