Finite Group Databasebeta

← Group #11888554

Character table — Group #11888554

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222222222244444444444444444444448888888888888888888888888888888888888888161616161616161618183636363636363672727272
order12223333446666666666662224881212121212121212121212121212121224466666666666681212121212121212242424242424242424242424242424246666121212124424444884448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111111111111111-1-11111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1
χ411111111111111111111111111-1-11111111111111111-1-11111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-11-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-11-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-1111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11111111-1-1-1
χ91111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-111-1-1-11
χ101111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1
χ111111111111111111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11-1
χ121111111111111111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-11
χ131111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111-11-1
χ141111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-11-11
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-111-1-11-1-11
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-111-1-111-111-1
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χ924-4-44-24-2-200-24-2-22-4222-42200002i2−2i223−230023−23−232300000000000000000000000000000000−i2i22i2−2i2−i2i2−i2i2−i6i600−i6i6i6−i6000000000000000000000
χ934-4-44-24-2-200-24-2-22-4222-42200002i2−2i2−232300−232323−2300000000000000000000000000000000−i2i22i2−2i2−i2i2−i2i2i6−i600i6−i6−i6i6000000000000000000000
χ944-4-44-2-24-200-2-24-222-4222-420000−2i22i223−23−23230023−2300000000000000000000000000000000i2−i2i2−i2−2i22i2i2−i2i6−i6−i6i600i6−i6000000000000000000000
χ954-4-44-2-24-200-2-24-222-4222-420000−2i22i2−232323−2300−232300000000000000000000000000000000i2−i2i2−i2−2i22i2i2−i2−i6i6i6−i600−i6i6000000000000000000000
χ964-4-44-2-24-200-2-24-222-4222-4200002i2−2i223−23−23230023−2300000000000000000000000000000000−i2i2−i2i22i2−2i2−i2i2−i6i6i6−i600−i6i6000000000000000000000
χ974-4-44-2-24-200-2-24-222-4222-4200002i2−2i2−232323−2300−232300000000000000000000000000000000−i2i2−i2i22i2−2i2−i2i2i6−i6−i6i600i6−i6000000000000000000000
χ984-4-44-2-2-2400-2-2-24222-4222-40000−2i22i223−2323−23−23230000000000000000000000000000000000i2−i2i2−i2i2−i2−2i22i2i6−i6i6−i6−i6i600000000000000000000000
χ994-4-44-2-2-2400-2-2-24222-4222-40000−2i22i2−2323−232323−230000000000000000000000000000000000i2−i2i2−i2i2−i2−2i22i2−i6i6−i6i6i6−i600000000000000000000000
χ1004-4-44-2-2-2400-2-2-24222-4222-400002i2−2i223−2323−23−23230000000000000000000000000000000000−i2i2−i2i2−i2i22i2−2i2−i6i6−i6i6i6−i600000000000000000000000
χ1014-4-44-2-2-2400-2-2-24222-4222-400002i2−2i2−2323−232323−230000000000000000000000000000000000−i2i2−i2i2−i2i22i2−2i2i6−i6i6−i6−i6i600000000000000000000000
χ10288-8-88-4-4-400-84448-4-4-4-844400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-48-4-4004-844-48-4-44-84400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-48-40044-84-4-48-444-8400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4800444-8-4-4-48444-800000000000000000000000000000000000000000000000000000000000000000000000000000000000

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