Finite Group Databasebeta

← Group #10826268

Character table — Group #10826268

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order12222222222234444666666666666666444444888888881212121212121212242424242424242424242424242424242222446666666612121212121212122244444444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1
χ61111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1
χ911111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-111111-1-11-1
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χ1111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1111-1-111-11
χ1211111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-111-1-11-1
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χ1511111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-1111-1
χ1611111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1111-1-1-11111-1-1-11
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χ964-44-44-44-40000-20000-222-22-2−2i32i3−2i32i32i3−2i32i3−2i320000000000−2i22i22i2−2i200000000−66−666−66−6i2−i2i2−i2−i2i2−i2i200000000000000000000000000000000000000
χ974-44-44-44-40000-20000-222-22-2−2i32i3−2i32i32i3−2i32i3−2i3200000000002i2−2i2−2i22i2000000006−66−6−66−66−i2i2−i2i2i2−i2i2−i200000000000000000000000000000000000000
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χ1024-44-4-44-440000-24-44-422-2-2222i32i3−2i3−2i32i32i3−2i3−2i3-200000000000000-22-2−2i32i3−2i32i32000000000000000000000000000000000000000000000000000000
χ1034-4-4444-4-444-4-4-20000-22-22-22-22-22-22-222000000−2i22i2−2i22i2−2i22i2−2i22i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000000000
χ1044-4-4444-4-444-4-4-20000-22-22-22-22-22-22-2220000002i2−2i22i2−2i22i2−2i22i2−2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000000000
χ1054-4-4444-4-4-4-444-20000-22-22-222-22-22-22-22000000−2i22i2−2i22i22i2−2i22i2−2i200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000000000
χ1064-4-4444-4-4-4-444-20000-22-22-222-22-22-22-220000002i2−2i22i2−2i2−2i22i2−2i22i200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000000000
χ1074-4-44-4-4444-44-4-2-4-4442222-2-2-2-22222-2-2-2-44000000000000-2-222-2-222000000000000000000000000000000000000000000000000000000
χ1084-4-44-4-444-44-44-2-4-4442222-2-222-2-2-2-222-24-4000000000000-2-22-222-22000000000000000000000000000000000000000000000000000000

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