Finite Group Databasebeta

← Group #11781570

Character table — Group #11781570

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222222222244444444444444444444488888888888888888888888888888888888888161616161616161616181818183636363636367272144
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1
χ4111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1
χ6111111111111111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ7111111111111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-11
χ8111111111111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1
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χ914-4-44-24-2-2040-4-24-2-22-4222-422000002-2-442-22-2000000000000000000000000000000−i6i6i6−i600−i6i6i6−i600−i6i6i6−i60000000000000000000000
χ924-4-44-24-2-20-404-24-2-22-4222-42200000-224-4-22-220000000022−2200000000000000000000−22−2222−22−22−2222−22−22−220000000000000000000000
χ934-4-44-24-2-20-404-24-2-22-4222-42200000-224-4-22-2200000000−2222000000000000000000002−22−2−22222−22−2−22222−22−20000000000000000000000
χ944-4-44-2-24-2040-4-2-24-222-4222-42000002-22-2-442-2000000000000000000000000000000i6−i6−i6i6−i6i600i6−i6i6−i6−i6i6000000000000000000000000
χ954-4-44-2-24-2040-4-2-24-222-4222-42000002-22-2-442-2000000000000000000000000000000−i6i6i6−i6i6−i600−i6i6−i6i6i6−i6000000000000000000000000
χ964-4-44-2-24-20-404-2-24-222-4222-4200000-22-224-4-220000000022−2200000000000000000000−22−22−2222−22−22−22−2222−220000000000000000000000
χ974-4-44-2-24-20-404-2-24-222-4222-4200000-22-224-4-2200000000−2222000000000000000000002−22−22−2−22222−22−22−2−22220000000000000000000000
χ984-4-44-2-2-24040-4-2-2-24222-4222-4000002-22-22-2-44000000000000000000000000000000i6−i6−i6i6i6−i6−i6i600−i6i600i6−i60000000000000000000000
χ994-4-44-2-2-24040-4-2-2-24222-4222-4000002-22-22-2-44000000000000000000000000000000−i6i6i6−i6−i6i6i6−i600i6−i600−i6i60000000000000000000000
χ1004-4-44-2-2-240-404-2-2-24222-4222-400000-22-22-224-40000000022−2200000000000000000000−22−22−22−2222−22−2222−22−220000000000000000000000
χ1014-4-44-2-2-240-404-2-2-24222-4222-400000-22-22-224-400000000−2222000000000000000000002−22−22−22−2−22222−2−22222−20000000000000000000000
χ1028-88-88-4-4-40000-8444-84448-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-48-4-400004-8444-844-48-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-48-4000044-8444-84-4-48-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-480000444-8444-8-4-4-48000000000000000000000000000000000000000000000000000000000000000000000000000000000

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