Finite Group Databasebeta

← Group #10746869

Character table — Group #10746869

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111111111111222222222222222244444444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12222222222222223666666666666666222244444444666666661212121212121212121212121212121244444444121212121212121212121212121212122244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-1
χ911111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1
χ1011111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111
χ172222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ182222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
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χ552-2-222-2-22-2-2-2-22222-111-1-1-1-1-111-11111-12-22-2-222-2-22-22-11-11-11-111-1-111-1-1111-1-111-1-1000000003−33−33−33−3−33−33−33−330000000000000000
χ562-2-222-2-22-2-2-2-22222-111-1-1-1-1-111-11111-12-22-2-222-2-22-22-11-11-11-111-1-111-1-1111-1-111-1-100000000−33−33−33−333−33−33−33−30000000000000000
χ572-2-222-2-22-2-2-2-22222-111-1-1-1-1-111-11111-1-22-222-2-22-22-221-11-11-11-1-111-1-111-111-1-111-1-1000000003−33−3−33−333−33−3−33−330000000000000000
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χ9044-4-44-4444-4-444-4-4-4-2-222-22-222-2-2-222-2200000000000000000000−23−2323232323−23−23000000000000000000000000000000000000000000000000
χ9144-4-4-44-4-44-44-444-44-2-222-222-2-222-22-22-2000044-4-4000000000000-2-222-2-222000000000000000000000000000000000000000000000000
χ9244-4-4-44-4-44-44-444-44-2-222-222-2-222-22-22-20000-4-44400000000000022-2-222-2-2000000000000000000000000000000000000000000000000
χ934-4444-44-44-44-4-44-4-44-44-4-4444-44-44-44-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ944-4444-44-44-44-4-44-4-4-22-222-2-2-22-22-22-222000000000000000000000000000023−23−232323−23−23230000000000000000000000000000000000000000
χ954-4444-44-44-44-4-44-4-4-22-222-2-2-22-22-22-2220000000000000000000000000000−232323−23−232323−230000000000000000000000000000000000000000
χ964-444-44-444-4-44-4-4-444-44-4-44-4-44-444-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-444-44-444-4-44-4-4-44-22-222-222-22-2-222-2-20000000000000000000000000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000
χ984-444-44-444-4-44-4-4-44-22-222-222-22-2-222-2-200000000000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000
χ994-44-444-44-444-44-4-4-44-44-44-44-44-44-444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-444-44-444-44-4-4-4-22-22-22-22-22-22-2-2220000000000000000000023−2323−23−2323−2323000000000000000000000000000000000000000000000000
χ1014-44-444-44-444-44-4-4-4-22-22-22-22-22-22-2-22200000000000000000000−2323−232323−2323−23000000000000000000000000000000000000000000000000
χ1024-44-4-4-44-4-44-4444-44-22-22-222-22-222-22-2-200004-44-4000000000000-22-22-22-22000000000000000000000000000000000000000000000000
χ1034-44-4-4-44-4-44-4444-44-22-22-222-22-222-22-2-20000-44-440000000000002-22-22-22-2000000000000000000000000000000000000000000000000
χ1044-4-4-4444-444-4-4-4-444-222-222-22-2-22-2-222-24-4-4400000000-222-2-222-200000000000000000000000000000000000000000000000000000000
χ1054-4-4-4444-444-4-4-4-444-222-222-22-2-22-2-222-2-444-4000000002-2-222-2-2200000000000000000000000000000000000000000000000000000000
χ1064-4-4-4-4-4-444444-444-44-4-44-4-4-44-4-444444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4-4-4-4-444444-444-4-222-2222-222-2-2-2-2-22000000000000−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ1084-4-4-4-4-4-444444-444-4-222-2222-222-2-2-2-2-220000000000002i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000

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