Finite Group Databasebeta

← Group #10751750

Character table — Group #10751750

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111111111111222222222222222244444444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12222222222222223666666666666666222244444444666666661212121212121212121212121212121244444444121212121212121212121212121212124444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ911111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ1011111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
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χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
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χ8644-4-4-444-4-444-4-44-4444-4-4-4-44444-4-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-4-444-4-444-4-44-44-2-22222-2-2-2-2222-22-200000000000000000000−2i32i3−2i32i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000
χ8844-4-4-444-4-444-4-44-44-2-22222-2-2-2-2222-22-2000000000000000000002i3−2i32i3−2i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000
χ8944-4-4-44-44-44-444-44-4-2-22222-2-222-2-2-22-22000000004i−4i−4i4i0000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ9044-4-4-44-44-44-444-44-4-2-22222-2-222-2-2-22-2200000000−4i4i4i−4i00000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ914-44-44-4-44-444-444-4-44-44-44-44-4-44-4444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ924-44-44-4-44-444-444-4-4-22-22-22-222-22-2-2-222000000000000−2i32i3−2i32i32i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000
χ934-44-44-4-44-444-444-4-4-22-22-22-222-22-2-2-2220000000000002i3−2i32i3−2i3−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000
χ944-44-4-444-44-4-4444-4-44-44-4-44-444-44-444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-4-444-44-4-4444-4-4-22-222-22-2-22-22-2-222000000000000−2i32i32i3−2i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ964-44-4-444-44-4-4444-4-4-22-222-22-2-22-22-2-2220000000000002i3−2i3−2i32i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ974-4-444444-4-4-4-4-444-44-4-444-4-444-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-444444-4-4-4-4-444-4-222-2-222-2-222-22-2-22000000000000000000000000000023−23−232323−23−23230000000000000000000000000000000000000000
χ994-4-444444-4-4-4-4-444-4-222-2-222-2-222-22-2-220000000000000000000000000000−232323−23−232323−230000000000000000000000000000000000000000
χ1004-4-4444-4-4-4-4444-4-444-4-444-4-44-444-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4444-4-4-4-4444-4-44-222-2-222-22-2-22-222-200000000000000000000−2i32i32i3−2i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ1024-4-4444-4-4-4-4444-4-44-222-2-222-22-2-22-222-2000000000000000000002i3−2i3−2i32i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ1034-4-44-4-44444-4-44-4-444-4-44-444-44-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-4-44444-4-44-4-44-222-22-2-22-222-2-222-200000000000000000000−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ1054-4-44-4-44444-4-44-4-44-222-22-2-22-222-2-222-2000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ1064-4-44-4-4-4-44444-444-44-4-44-444-4-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-44-4-4-4-44444-444-4-222-22-2-222-2-222-2-22000000000000000000000000000023−23−2323−232323−230000000000000000000000000000000000000000
χ1084-4-44-4-4-4-44444-444-4-222-22-2-222-2-222-2-220000000000000000000000000000−232323−2323−23−23230000000000000000000000000000000000000000

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