Finite Group Databasebeta

← Group #11788316

Character table — Group #11788316

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222223344446666666666366666666612121212121212122244226666666666666666121212122466668888121212124488121212122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-11-11111ii−i−i-1-1-1-11-1i−i11-1-1ii−i−iii−i−iii−i−ii−i
χ1011111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-11-11111−i−iii-1-1-1-11-1−ii11-1-1−i−iii−i−iii−i−iii−ii
χ1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-11-11111ii−i−i-1-1-1-1-11−ii-1-111ii−i−i−i−iiiii−i−i−ii
χ1211111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-11-11111−i−iii-1-1-1-1-11i−i-1-111−i−iiiii−i−i−i−iiii−i
χ1311111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1ii−i−i1111-11i−i-1-111ii−i−iii−i−i−i−iii−ii
χ1411111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1−i−iii1111-11−ii-1-111−i−iii−i−iiiii−i−ii−i
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χ172222222-1222222-1-1-1-1-12-1-1-122-1-1-1-1-1-1-122-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-1-1-1-12200-1-1-1-100000000000000
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χ192222222-1222222-1-1-1-1-12-1-1-122-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2111100001111-2-200111100000000000000
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χ944-4-44004-20000-442−2i32i32i3−2i3-42-2-2002-2−2i32i32i3−2i3200000000-44000000000000000000000000002-22i3−2i3000000000000000000000000000000
χ954-4-44004-20000-4422i3−2i3−2i32i3-42-2-2002-22i3−2i3−2i32i32000000004-400000000000000000000000000-222i3−2i3000000000000000000000000000000
χ964-4-44004-20000-4422i3−2i3−2i32i3-42-2-2002-22i3−2i3−2i32i3200000000-44000000000000000000000000002-2−2i32i3000000000000000000000000000000
χ9788-8-800-480000-44800004-8-8-400-44000040000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-44-4−4i34i3−4i34i34442002-22i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-44-44i3−4i34i3−4i34442002-2−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-4800004-4-800004-88-4004-4000040000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-44−4i34i34i3−4i344-4200-222i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-444i3−4i3−4i34i344-4200-22−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000

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