Finite Group Databasebeta

← Group #10826274

Character table — Group #10826274

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444444444444444444444444444488888888888888888888888888121212121212121224242424242424244848
order1222222222223444466666662244444444666666661212121212121212121212121212121244444444121212121212121212121212121212121212888888882222888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ4111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-11
χ1111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ1211111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1
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χ1511111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-11
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χ934-44-4-4-4440000-244-4-422-2-222-200000000000000000000002-22-2−2i32i3−2i32i32i3−2i32i3−2i300000000000000000000000000000000000000000000
χ944-44-4-4-4440000-244-4-422-2-222-200000000000000000000002-22-22i3−2i32i3−2i3−2i32i3−2i32i300000000000000000000000000000000000000000000
χ954-44-4-4-4440000-2-4-44422-2-222-20000004-44-4000000000000-22-22-22-22-22-2200000000000000000000000000000000000000000000
χ964-44-4-4-4440000-2-4-44422-2-222-2000000-44-44000000000000-22-222-22-22-22-200000000000000000000000000000000000000000000
χ974-4-44-444-44-44-4-20000-22-22-2224-44-4000000-22-22-22-22-22-2200000000000000000000000000000000000000000000000000000000
χ984-4-44-444-44-44-4-20000-22-22-222-44-44000000-22-222-22-22-22-200000000000000000000000000000000000000000000000000000000
χ994-4-44-444-4-44-44-20000-22-22-2224-4-440000002-22-2-22-222-22-200000000000000000000000000000000000000000000000000000000
χ1004-4-44-444-4-44-44-20000-22-22-222-444-40000002-22-22-22-2-22-2200000000000000000000000000000000000000000000000000000000
χ10188-8-88-88-80000-400004-4-444-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-888-8-80000-40000-444-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000

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