Finite Group Databasebeta

← Group #11773874

Character table — Group #11773874

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444444444444444444444444444444444444444444444444444444444444444444181818183636363636367272727272727272
order12222222223344446666666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212444444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ5111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ6111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ7111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii
χ8111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i
χ9111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11-11-11-1
χ10111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11-11-11
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χ12111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−ii−iii−ii−i
χ13111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-11-1-111-1-11
χ14111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-111-1-111-1
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χ16111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-111−iii−ii−i−ii
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χ192222-2-2-2-2222200002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000000022-2-20000-2200000000
χ202222-2-2-2-2222200002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222200000000000000000000000000000000-2-22200002-200000000
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χ324444444444-21-4-4-4-4-21-21-2-211-2-211-2-2-2-21111-2-2-2-21111-212222-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1000000000000000000
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χ4644-4-400004-41-20000-121-23-3003-30033-3-3000011-1-122-2-2-12−33−3300−2323−33−3300−2323−33−33−232300−33−33−232300000000000000000000
χ4744-4-400004-41-20000-121-2-3300-3300-3-333000011-1-122-2-2-123−3−3323−23003−3−3323−2300−333−30023−23−333−30023−23000000000000000000
χ4844-4-400004-41-20000-121-2-3300-3300-3-333000011-1-122-2-2-12−333−3−232300−333−3−2323003−3−3300−23233−3−3300−2323000000000000000000
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χ5444-4-40000-441-20000-121-23-3003-300-3-3330000-1-111-2-222-123−33−30023−233−33−30023−23−33−33−232300−33−33−232300000000000000000000
χ5544-4-40000-441-20000-121-23-3003-300-3-3330000-1-111-2-222-12−33−3300−2323−33−3300−23233−33−323−23003−33−323−2300000000000000000000
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χ904-4-4400-44001-20000-12-12-33003-300-111-1-222-23-3-3300001-2−i3i3−i3i300−2i32i3i3−i3i3−i3002i3−2i3−i3i3i3−i3002i3−2i3i3−i3−i3i300−2i32i3000000000000000000
χ914-4-4400-44001-20000-12-12-33003-300-111-1-222-23-3-3300001-2i3−i3i3−i3002i3−2i3−i3i3−i3i300−2i32i3i3−i3−i3i300−2i32i3−i3i3i3−i3002i3−2i3000000000000000000
χ924-4-4400-4400440000-4-4-4-400000000-444-44-4-44000000004400000000000000000000000000000000000000000000000000
χ934-4-4400-4400-2100002-12-1003-300-332-2-221-1-110000-333-3-21−2i32i300i3−i3i3−i32i3−2i300−i3i3−i3i3−2i32i300i3−i3−i3i32i3−2i300−i3i3i3−i3000000000000000000
χ944-4-4400-4400-2100002-12-1003-300-332-2-221-1-110000-333-3-212i3−2i300−i3i3−i3i3−2i32i300i3−i3i3−i32i3−2i300−i3i3i3−i3−2i32i300i3−i3−i3i3000000000000000000
χ954-4-4400-4400-2100002-12-100-33003-32-2-221-1-1100003-3-33-2100−2i32i3−i3i3i3−i3002i3−2i3i3−i3−i3i3002i3−2i3−i3i3−i3i300−2i32i3i3−i3i3−i3000000000000000000
χ964-4-4400-4400-2100002-12-100-33003-32-2-221-1-1100003-3-33-21002i3−2i3i3−i3−i3i300−2i32i3−i3i3i3−i300−2i32i3i3−i3i3−i3002i3−2i3−i3i3−i3i3000000000000000000

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