Finite Group Databasebeta

← Group #11789666

Character table — Group #11789666

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12222233444466666666663666666666121212121212121288884412121212121212121212121212121212121212124444882424242424242424226666881212121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
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χ1111-1-11-1111-11-111-1-1-111-1-1-111-111-1-1-11-1111-1-1-11-1ii−i−i−ii−i−iii−i−iii11-1-1−i−i−i−iiiiii−ii−ii−iiiii−i−i−i−i-11-1-111-11i−ii−i-1-11111-1-1−ii
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χ192222222-12222-1-1-1-1-12-1-122-122-1-1-1-1-1-1-12-1-122-12-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-122-1-1-1-10000000000000000
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χ282222-2-2222-2-22-2-22-2-2222222-2-2-2-22-2-222-22-22-222-2000000000000002-22-200000000-2-222000000000000000000-2-2220000000000
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χ4122-2-22-22-12-22-2-1-11112-11-2-2-12-2-1-1111-112-1-1-2-21212i2i−2i−2i2i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii00002i−2i−i−i−i−iiiii2-2-1-1110000000000000000
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χ914-4-440044000000-400-4-44-4440000-400-440000000022−22−2222000000000000000000000000000022−2200−2222000000000000000000000000
χ924-4-440044000000-400-4-44-4440000-400-4400000000−222222−220000000000000000000000000000−22220022−22000000000000000000000000
χ934-4-44004-20000−2i32i322i3−2i3-42-2-44-200−2i32i322i3−2i32-20000000022−22−22220000000000000000000000000000−22i6−i62−2−i6i60000000000000000000000
χ944-4-44004-20000−2i32i322i3−2i3-42-2-44-200−2i32i322i3−2i32-200000000−222222−2200000000000000000000000000002−2−i6i6−22i6−i60000000000000000000000
χ954-4-44004-200002i3−2i32−2i32i3-42-2-44-2002i3−2i32−2i32i32-20000000022−22−22220000000000000000000000000000−22−i6i62−2i6−i60000000000000000000000
χ964-4-44004-200002i3−2i32−2i32i3-42-2-44-2002i3−2i32−2i32i32-200000000−222222−2200000000000000000000000000002−2i6−i6−22−i6i60000000000000000000000
χ978-88-800-480000008004-8-8-44-40000-400440000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000−4i34i3-4−4i34i3444-442002i3−2i322i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-400004i3−4i3-44i3−4i3444-44200−2i32i32−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-48000000-8004-884-4-400004004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000−4i34i344i3−4i344-44-42002i3−2i3-2−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004i3−4i34−4i34i344-44-4200−2i32i3-22i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000

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