Finite Group Databasebeta

← Group #11779992

Character table — Group #11779992

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222222244444444444444444448888888888888888888888888888888888888881616161616161616163636363636367272727272
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1
χ411111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ5111111111111111111111111-1-111111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ6111111111111111111111111-1-111111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-111111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-111
χ8111111111111111111111111-1-111111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-111-1-1
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χ1322222222-2-2-2-2222222222222002-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200022220000000000000000000000000000000000000000000000002-200
χ1422222222-2-2-2-2222222222222002-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20002222000000000000000000000000000000000000000000000000-2200
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χ1622222-1-1-1222222-1-1-1-1-1-12-1-1-12222-1-1-122-1-1-1-1-1-12-1-1-12-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-211111100000000000
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χ1822222-1-1-1222222-1-1-1-1-1-12-1-1-1-2-222-1-1-122-1-1-1-1-1-12-1-1-1-2-2-22-1-1-1-2-2111111-2-2111111-2-2-2-2111111111111222-1-1-1-1-1-100000000000
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χ2022222-1-1-12-22-222-1-1-1-1-1-12-1-1-122-22-1-1-1-2-21111112-1-1-1-200-211122-1-1-1-1-1-1-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000i3i3i3−i3−i3−i300000000000
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χ392222-1-1-122222-1-1-1-1-1-122-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-12-1-1-1-12-12-100000000000
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χ934-44-4-2-2-24040-4222222-4-4-2-2-2400000002-22-22-2-440000000000000000000000000006−6−666−6−6600−66006−600000000000000000000
χ944-44-4-2-2-24040-4222222-4-4-2-2-2400000002-22-22-2-44000000000000000000000000000−666−6−666−6006−600−6600000000000000000000
χ954-44-4-2-2-240-404222222-4-4-2-2-240000000-22-22-224-400000−2i22i200000000000000000000i2−i2i2−i2i2−i2i2−i2−2i22i2i2−i2−2i22i2i2−i200000000000000000000
χ964-44-4-2-2-240-404222222-4-4-2-2-240000000-22-22-224-4000002i2−2i200000000000000000000−i2i2−i2i2−i2i2−i2i22i2−2i2−i2i22i2−2i2−i2i200000000000000000000
χ974-4-4444440000-44-44-44-44-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i00000
χ984-4-4444440000-44-44-44-44-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000
χ998-8-888-4-4-40000-884-44-44-4-8444000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-48-4-400004-4-884-44-44-844000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-48-400004-44-4-884-444-84000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-4800004-44-44-4-88444-8000000000000000000000000000000000000000000000000000000000000000000000000000000

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