Finite Group Databasebeta

← Group #11867170

Character table — Group #11867170

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12222233444466666666663666666666121212121212121222444412121212121212121212121212121212121212122466668888121212122224666666121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ91111-1-1111-1-1111-1-1-1-111111-1-11-1-1-1-111111-1-1-1-1111111-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-11-11-11111-1-1-1-111-1-111-1-1-11
χ101111-1-1111-1-1111-1-1-1-111111-1-11-1-1-1-111111-1-1-1-1111111-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11-1-11-1-111-1-111-1-111-1-1111-1
χ111111-1-1111-1-1111-1-1-1-111111-1-11-1-1-1-111111-1-1-1-111111-11-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-11-11-1-1-1-1111111-1-111-1-11-1
χ121111-1-1111-1-1111-1-1-1-111111-1-11-1-1-1-111111-1-1-1-111111-11-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-111-111-1-111-1-1-1-111-1-111-11
χ131111-1-1111-1-1111-1-1-1-111111-1-11-1-1-1-111111-1-1-1-11-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-111-111-1-111-1-111-1-1-1-1111-1
χ141111-1-1111-1-1111-1-1-1-111111-1-11-1-1-1-111111-1-1-1-11-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-11-11-1-1-1-11111-1-11111-1-1-11
χ151111-1-1111-1-1111-1-1-1-111111-1-11-1-1-1-111111-1-1-1-11-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-11-1-111-1-11111-1-1-1-111-11
χ161111-1-1111-1-1111-1-1-1-111111-1-11-1-1-1-111111-1-1-1-11-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-111-1-1111-11-11111-1-1-1-1-1-11111-1-11-1
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χ964-4-44004-20000-422i3−2i3−2i32i34-2-42-20022i3−2i3−2i32i32-200000000-44000000000000000000000000002-2−2i32i3000000000000000000000000000000
χ978-88-800-480000-4800004-84-8-400-40000440000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-4-4−4i34i3−4i34i3444420022i3−2i32i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-4-44i3−4i34i3−4i344442002−2i32i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-4800004-80000-484-8-400400004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-4000044−4i34i34i3−4i3-4-444200-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-40000444i3−4i3−4i34i3-4-444200-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000

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