Finite Group Databasebeta

← Group #10822337

Character table — Group #10822337

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12222222222234444444466666661212121212121212444444446666121212121212121212121212121212121212121288888888242424242424242424242424242424242222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-1
χ911111111-1-1-1-1111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1
χ1011111111-1-1-1-1111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ1111111111-1-1-1-1111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-111
χ1211111111-1-1-1-1111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1
χ1311111111-1-1-1-1111-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
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χ172222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
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χ502-2-22-2-2222-22-2-12-22-22-22-211-1-1-111-1-111-1-11100000000-11-11-11-1133−3−333−3−333−3−333−3−30000-22-22−333−3−333−31-11-11-11-10000000000000000
χ512-2-22-2-2222-22-2-12-22-22-22-211-1-1-111-1-111-1-11100000000-11-11-11-11−3−333−3−333−3−333−3−33300002-22-2−333−3−333−3-11-11-11-110000000000000000
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χ542-2-22-2-2222-22-2-1-22-22-22-2211-1-1-11111-1-111-1-100000000-11-111-11-133−3−3−3−33333−3−3−3−333-22-2200001-11-11-11-13−3−333−3−330000000000000000
χ552-2-22-2-2222-22-2-1-22-22-22-2211-1-1-11111-1-111-1-100000000-11-111-11-1−3−33333−3−3−3−33333−3−32-22-20000-11-11-11-113−3−333−3−330000000000000000
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χ1014-44-44-44-40000-2000000002-22-22-2223−23−2323−232323−2300004i−4i000000000000000000−2i2i2i−2i2i3−2i3−2i32i30000000000000000000000000000000000000000
χ1024-44-44-44-40000-2000000002-22-22-2223−23−2323−232323−230000−4i4i0000000000000000002i−2i−2i2i−2i32i32i3−2i30000000000000000000000000000000000000000
χ1034-44-44-44-40000-2000000002-22-22-22−232323−2323−23−232300004i−4i000000000000000000−2i2i2i−2i−2i32i32i3−2i30000000000000000000000000000000000000000
χ1044-44-44-44-40000-2000000002-22-22-22−232323−2323−23−23230000−4i4i0000000000000000002i−2i−2i2i2i3−2i3−2i32i30000000000000000000000000000000000000000
χ1054-4-4-444-444-4-44-24-44-4-44-442222-2-2-2-2-22222-2-200000000-222-2-222-200000000000000000000000000000000000000000000000000000000
χ1064-4-4-444-444-4-44-2-44-444-44-42222-2-2-222-2-2-2-22200000000-222-22-2-2200000000000000000000000000000000000000000000000000000000
χ1074-4-4-444-44-444-4-24-4-444-4-442222-2-2-2-2-22222-2-2000000002-2-222-2-2200000000000000000000000000000000000000000000000000000000
χ1084-4-4-444-44-444-4-2-444-4-444-42222-2-2-222-2-2-2-222000000002-2-22-222-200000000000000000000000000000000000000000000000000000000

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