Finite Group Databasebeta

← Group #11723487

Character table — Group #11723487

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222224444444444444444444444444444444444444444444661212121212121212121212121212121212181836363636365454108
order12223333366666666666666633334666666666666121212121212121212121212121212121212121212121212121222466666666121212121212121244412121212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-111-111-1-111-1
χ61111111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-11
χ71111111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-111-1-1-1-11
χ81111111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11-1-11111-1
χ9222222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-10000000000
χ10222222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111111-2-21111110000000000
χ11222222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1-222-1-1-1-1-1-12-1-1-1-2-2111111-2-2-2-2-2-211111111111122-222-1-1-1-1-1-1-2-21111110000000000
χ12222222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1-222-1-1-1-1-1-12-1-1-1-2-2111111-2-2-2-2-2-2111111111111-2-22-2-211111122-1-1-1-1-1-10000000000
χ1322222-12-1-122-12-1-1-12-1-1-12-1-12-12-1-12-1-122-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-10000000000
χ1422222-12-1-122-12-1-1-12-1-1-12-1-12-12-1-12-1-122-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211-2-2111111-2-211110000000000
χ1522222-12-1-122-12-1-1-12-1-1-12-1-12-12-1-1-2-1-122-1-1-1-1-12-1-111-2-21111-2-21111-2-2-2-21111111122-2-1-122-1-1-1-111-2-211110000000000
χ1622222-12-1-122-12-1-1-12-1-1-12-1-12-12-1-1-2-1-122-1-1-1-1-12-1-111-2-21111-2-21111-2-2-2-211111111-2-2211-2-21111-1-122-1-1-1-10000000000
χ1722222-1-12-122-1-12-1-1-12-1-1-12-12-1-12-12-1-1-1-122-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-10000000000
χ1822222-1-12-122-1-12-1-1-12-1-1-12-12-1-12-12-1-1-1-122-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-21111-2-2111111-2-2110000000000
χ1922222-1-12-122-1-12-1-1-12-1-1-12-12-1-12-1-2-1-1-1-122-1-1-1-12-11111-2-211-2-211111111-2-2-2-2111122-2-1-1-1-122-1-11111-2-2110000000000
χ2022222-1-12-122-1-12-1-1-12-1-1-12-12-1-12-1-2-1-1-1-122-1-1-1-12-11111-2-211-2-211111111-2-2-2-21111-2-221111-2-211-1-1-1-122-1-10000000000
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χ2422222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-12-2-1-1-1-1-1-122-1-1-12111111-2-2-2-2111111111111-2-2-2-2-2-22111111-2-2-1-1-1-1-1-1220000000000
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χ262222-12222-1-1222222222222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-2-21111000
χ272222-12222-1-1222222222222-1-1-1-1-1-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111000000000000000000022-2-1-111000
χ282222-12222-1-1222222222222-1-1-1-1-1-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111110000000000000000000-2-2211-1-1000
χ2922-2-2222222-22222-2-2-2-2-2-2-2-2-2222202-22-22-22-2-2-2-2-2000000000000000000000000002-202-22-22-22-2000000000000000000
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χ3622-2-22-12-1-12-2-12-1-11-2111-211-2-12-1-10-112-2-11-111-2113−3003−3−330033−3−3000033−3−3−3−333-2201-1-221-11-1−3300−333−30000000000
χ3722-2-22-12-1-12-2-12-1-11-2111-211-2-12-1-10-112-2-11-111-211−3300−333−300−3−3330000−3−33333−3−32-20-112-2-11-11−3300−333−30000000000
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χ4122-2-22-1-12-12-2-1-12-111-2111-21-2-1-12-10-11-112-2-1111-21−333−300−3300−3−33333−3−30000−3−3332-20-11-112-2-11−333−300−330000000000
χ4222-2-22-1-12-12-2-1-12-111-2111-21-2-1-12-10-11-112-2-1111-21−333−300−3300−3−33333−3−30000−3−333-2201-11-1-221-13−3−33003−30000000000
χ4322-2-22-1-1-122-2-1-1-12111-2111-2-2-1-1-120-11-11-112-2111-23−33−3−33000033−3−333−3−3−3−33300002-20-11-11-112-23−33−3−33000000000000
χ4422-2-22-1-1-122-2-1-1-12111-2111-2-2-1-1-120-11-11-112-2111-23−33−3−33000033−3−333−3−3−3−3330000-2201-11-11-1-22−33−333−3000000000000
χ4522-2-22-1-1-122-2-1-1-12111-2111-2-2-1-1-120-11-11-112-2111-2−33−333−30000−3−333−3−33333−3−300002-20-11-11-112-2−33−333−3000000000000
χ4622-2-22-1-1-122-2-1-1-12111-2111-2-2-1-1-120-11-11-112-2111-2−33−333−30000−3−333−3−33333−3−30000-2201-11-11-1-223−33−3−33000000000000
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χ492-2-2222222-2-2-2-2-2-22222-2-2-2-2222220-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000002-202-200000
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χ554444-24-2-2-2-2-24-2-2-24-2-2-24-2-2-2-2-21114-2-2111111-211144-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000
χ564444-24-2-2-2-2-24-2-2-24-2-2-24-2-2-2-2-2111-4-2-2111111-2111-4-4222222222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000
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χ584444-2-24-2-2-2-2-24-2-2-24-2-2-24-2-2-21-211-411-2-211111-21122-4-4222222-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000000000000
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χ934-4-44-2-2-24-22222-42-2-24-222-42-211-210-1-1-1-122-1-111-2100000000−2i32i3i3−i3i3−i3i3−i3i3−i3−2i32i3−2i32i3i3−i3i3−i300000000000000000000000000000
χ944-4-44-2-2-24-22222-42-2-24-222-42-211-210-1-1-1-122-1-111-21000000002i3−2i3−i3i3−i3i3−i3i3−i3i32i3−2i32i3−2i3−i3i3−i3i300000000000000000000000000000
χ954-4-44-2-2-2-2422222-4-2-2-24222-4-2111-20-1-1-1-1-1-122111-200000000−2i32i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−2i32i3−2i32i300000000000000000000000000000
χ964-4-44-2-2-2-2422222-4-2-2-24222-4-2111-20-1-1-1-1-1-122111-2000000002i3−2i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32i3−2i32i3−2i300000000000000000000000000000

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