Finite Group Databasebeta

← Group #11786687

Character table — Group #11786687

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order122222334444666666666636666666661212121212121212441212121212121212121212121212121212121212444444444444121212121212121288121212121212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ91-11-1-11111-11-1-1-1-11111-1-1-111-111-1-1-11-1111-1-1-1-11i−iii−i−iii−i−i11-1-1iiii−i−i−i−ii−ii−iii−i−i11-1-11111-1-1-1-11-1i−ii−iii−i−i11-1-11-11-1i−i
χ101-11-1-11111-11-1-1-1-11111-1-1-111-111-1-1-11-1111-1-1-1-11i−iii−i−iii−i−i11-1-1iiii−i−i−i−ii−ii−i−i−iii-1-111-1-1-1-111111-1i−ii−i−i−iii11-1-1-11-11−ii
χ111-11-1-11111-11-1-1-1-11111-1-1-111-111-1-1-11-1111-1-1-1-11i−iii−i−iii−i−i11-1-1iiii−i−i−i−i−ii−iiii−i−i11-1-11111-1-1-1-1-11−ii−iiii−i−i-1-111-11-11−ii
χ121-11-1-11111-11-1-1-1-11111-1-1-111-111-1-1-11-1111-1-1-1-11i−iii−i−iii−i−i11-1-1iiii−i−i−i−i−ii−ii−i−iii-1-111-1-1-1-11111-11−ii−ii−i−iii-1-1111-11-1i−i
χ131-11-1-11111-11-1-1-1-11111-1-1-111-111-1-1-11-1111-1-1-1-11−ii−i−iii−i−iii11-1-1−i−i−i−iiiiii−ii−iii−i−i-1-111-1-1-1-11111-11i−ii−iii−i−i-1-1111-11-1−ii
χ141-11-1-11111-11-1-1-1-11111-1-1-111-111-1-1-11-1111-1-1-1-11−ii−i−iii−i−iii11-1-1−i−i−i−iiiiii−ii−i−i−iii11-1-11111-1-1-1-1-11i−ii−i−i−iii-1-111-11-11i−i
χ151-11-1-11111-11-1-1-1-11111-1-1-111-111-1-1-11-1111-1-1-1-11−ii−i−iii−i−iii11-1-1−i−i−i−iiiii−ii−iiii−i−i-1-111-1-1-1-111111-1−ii−iiii−i−i11-1-1-11-11i−i
χ161-11-1-11111-11-1-1-1-11111-1-1-111-111-1-1-11-1111-1-1-1-11−ii−i−iii−i−iii11-1-1−i−i−i−iiiii−ii−ii−i−iii11-1-11111-1-1-1-11-1−ii−ii−i−iii11-1-11-11-1−ii
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000002-22-20000000000000000002-22-20000000000
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000-22-22000000000000000000-22-220000000000
χ192222222-122222222-122-1-12-1-1-1-1-1-1-1-1-1-122-122-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000022-1-1-1-10000-1-1-1-1000000
χ202222222-122222222-122-1-12-1-1-1-1-1-1-1-1-1-122-122-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000000-2-2111100001111000000
χ212222222-122222222-122-1-12-1-1-1-1-1-1-1-1-1-122-122-1-1-1-2-21111-2-2-2-2-1-1-1-11111111122220000000000000000-2-2-1-1-1-100001111000000
χ222222222-122222222-122-1-12-1-1-1-1-1-1-1-1-1-122-122-1-1-1-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-200000000000000002211110000-1-1-1-1000000
χ23222222-122222-1-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-12-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-1000000-1-1-1-10000000000
χ24222222-122222-1-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-12-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-21111111100000011110000000000
χ25222222-122222-1-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-12-1-1222-2-2-2-2-2-21111-1-1-1-11111111100002222-2-2-2-211111111000000-1-1-1-10000000000
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χ27222222-12-2-2-2-2-1-1-1-12-1-122-1-122-1-1-1-1-1-1-111-211-2-2-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i300002-22-20000−i3−i3i3i3−i3−i3i3i3000000-11-110000000000
χ28222222-12-2-2-2-2-1-1-1-12-1-122-1-122-1-1-1-1-1-1-111-211-2-2-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i30000-22-220000i3i3−i3−i3i3i3−i3−i30000001-11-10000000000
χ29222222-12-2-2-2-2-1-1-1-12-1-122-1-122-1-1-1-1-1-1-111-211-2-2-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i300002-22-20000i3i3−i3−i3i3i3−i3−i3000000-11-110000000000
χ30222222-12-2-2-2-2-1-1-1-12-1-122-1-122-1-1-1-1-1-1-111-211-2-2-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i30000-22-220000−i3−i3i3i3−i3−i3i3i30000001-11-10000000000
χ312222-2-2222-2-222-2-222-2-22222-2-2-2-22-2-2222-222-22-2-200000000002-22-200000000000000000000000000000000000000000022-2-200
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χ402-22-22-22222-2-2-22222-2-2-2-2-22-22-2-2-2222-22-22-22-22-200000000002-2-22000000000000000000000000000000000000000000-222-200
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χ422-22-22-222-2-222-22222-2-2-2-2-22-22-2-2-2222-2-22-22-22-220000000000-222-200000000−2i2i2i−2i000000000000000000−2i2i2i−2i00000000000000
χ432-22-22-22-1-2-222-2222-1-2-211-2-11-1111-1-1-11-2212-2-11-1003−3−3300001-1-113−33−3−33−332i−2i−2i2i000000000000000000−iii−i0000−i3i3i3−i3000000
χ442-22-22-22-1-2-222-2222-1-2-211-2-11-1111-1-1-11-2212-2-11-1003−3−3300001-1-113−33−3−33−33−2i2i2i−2i000000000000000000i−i−ii0000i3−i3−i3i3000000
χ452-22-22-22-1-2-222-2222-1-2-211-2-11-1111-1-1-11-2212-2-11-100−333−300001-1-11−33−333−33−32i−2i−2i2i000000000000000000−iii−i0000i3−i3−i3i3000000
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χ482-22-2-2222-22-22-2-2-22222-2-2-222-222-2-2-22-2-2-2-22222-20000000000-2-222000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i0000000000
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χ522-22-2-222-12-22-2-2-2-22-12211-2-1-11-1-1111-1122-1-2-211-1−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i−2i2i−2i2i00000000000000002-2i−ii−i0000-1-111000000
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χ552-22-2-22-122-22-2111-12-1-1-2-21-12-2-1-1111-11-1-1211-2-22−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i00002i2i−2i−2i-2-2221111-1-1-1-1000000−i−iii0000000000
χ562-22-2-22-122-22-2111-12-1-1-2-21-12-2-1-1111-11-1-1211-2-22−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i0000−2i−2i2i2i22-2-2-1-1-1-11111000000ii−i−i0000000000
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χ914-4-4400440000-400-4-400-44440000-400-44000000000000000000000000000000000000002-2-222-22-2-22-2200000000000000000000
χ924-4-4400440000-400-4-400-44440000-400-4400000000000000000000000000000000000000-222-2-22-222-22-200000000000000000000
χ934-4-4400-2400002−2i32i32-42i3−2i3-44-2-2002i3−2i32−2i32i32-2000000000000000000000000000000000000002-2-22−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i300000000000000000000
χ944-4-4400-2400002−2i32i32-42i3−2i3-44-2-2002i3−2i32−2i32i32-200000000000000000000000000000000000000-222-21−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000
χ954-4-4400-24000022i3−2i32-4−2i32i3-44-2-200−2i32i322i3−2i32-2000000000000000000000000000000000000002-2-22−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000
χ964-4-4400-24000022i3−2i32-4−2i32i3-44-2-200−2i32i322i3−2i32-200000000000000000000000000000000000000-222-21+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000
χ9788-8-8008-40000800-8400-44-8-40000-400440000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-4−4i34i344−4i34i3-4442002i3−2i322i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-44i3−4i3444i3−4i3-444200−2i32i32−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-800-84004-48-400004004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004−4i34i3444i3−4i34-4-4200−2i32i3-22i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-4000044i3−4i344−4i34i34-4-42002i3−2i3-2−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000

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