Finite Group Databasebeta

← Group #11781512

Character table — Group #11781512

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222222222244444444444444444444488888888888888888888888888888888888888161616161616161616181818183636363636367272144
order1222333344446666666666662244412121212121212121212121212121212666666668812121212121212121212121224242424242424242424242424242424412121212121212128888888888884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1
χ6111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ7111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-11
χ8111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1
χ9222222222-22-222222222222222-2-2-22222-2-2-2-2-2-2-2-222222222222200-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000
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χ1122222222-22-222222222222220000-2-2-2-2-222222222-2-2-2-20000000000-2-2-2-20000000000000000000000000000000002222-2-20000000
χ1222222222-22-222222222222220000-2-2-2-2-222222222-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000-2-2-2-2220000000
χ1322222222-2-2-2-222222222222200002-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000022220000000000000000000000000000000000000002i2i−2i−2i000
χ1422222222-2-2-2-222222222222200002-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000002222000000000000000000000000000000000000000−2i−2i2i2i000
χ1522222-1-1-1222222-1-1-1-1-1-12-1-1-1222222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000000000
χ1622222-1-1-1222222-1-1-1-1-1-12-1-1-1222222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-22-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-21111110000000000000
χ1722222-1-1-1222222-1-1-1-1-1-12-1-1-1-2-2-2-222-1-1-122-1-1-1-1-1-12-1-1-1-2-2111111222-1-1-1-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111110000000000000
χ1822222-1-1-1222222-1-1-1-1-1-12-1-1-1-2-2-2-222-1-1-122-1-1-1-1-1-12-1-1-1-2-2111111-2-22-1-1-1-2-2111111-2-2-2-2111111111111222-1-1-1-1-1-10000000000000
χ1922222-1-1-12-22-222-1-1-1-1-1-12-1-1-122-2-2-22-1-1-1-2-21111112-1-1-122-1-1-1-1-1-100-2111-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000−i3−i3−i3i3i3i30000000000000
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χ402222-1-1-122222-1-1-1-1-1-122-1-1-1222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-2-2-1-1-12-1-1-1-1-1-12211111111-2-211-2-211-21111-21-210000000000000
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χ914-44-4-24-2-20-40422-4-42222-24-2-20000000002-2-442-22-200000000000000000000000000−i6i6i6−i600−i6i6i6−i600−i6i6i6−i60000000000000000000000
χ924-44-4-2-24-2040-42222-4-422-2-24-2000000000-22-224-4-2200000000000022−22000000000000−22−22−2222−22−22−22−2222−220000000000000000000000
χ934-44-4-2-24-2040-42222-4-422-2-24-2000000000-22-224-4-22000000000000−22220000000000002−22−22−2−22222−22−22−2−22220000000000000000000000
χ944-44-4-2-24-20-4042222-4-422-2-24-20000000002-22-2-442-200000000000000000000000000i6−i6−i6i6−i6i600i6−i6i6−i6−i6i6000000000000000000000000
χ954-44-4-2-24-20-4042222-4-422-2-24-20000000002-22-2-442-200000000000000000000000000−i6i6i6−i6i6−i600−i6i6−i6i6i6−i6000000000000000000000000
χ964-44-4-2-2-24040-4222222-4-4-2-2-24000000000-22-22-224-400000000000022−22000000000000−22−22−22−2222−22−2222−22−220000000000000000000000
χ974-44-4-2-2-24040-4222222-4-4-2-2-24000000000-22-22-224-4000000000000−22220000000000002−22−22−22−2−22222−2−22222−20000000000000000000000
χ984-44-4-2-2-240-404222222-4-4-2-2-240000000002-22-22-2-4400000000000000000000000000i6−i6−i6i6i6−i6−i6i600−i6i600i6−i60000000000000000000000
χ994-44-4-2-2-240-404222222-4-4-2-2-240000000002-22-22-2-4400000000000000000000000000−i6i6i6−i6−i6i6i6−i600i6−i600−i6i60000000000000000000000
χ1004-4-4444440000-44-44-44-44-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000
χ1014-4-4444440000-44-44-44-44-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000
χ1028-8-888-4-4-40000-884-44-44-4-8444000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4-400004-4-884-44-44-844000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-48-400004-44-4-884-444-84000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4800004-44-44-4-88444-8000000000000000000000000000000000000000000000000000000000000000000000000000000000

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