Finite Group Databasebeta

← Group #11789667

Character table — Group #11789667

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12222233444466666666663666666666121212121212121288884412121212121212121212121212121212121212128888882424242424242424226666882424242424242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911-1-11-1111-1-11-111-1-1-111-1-111-111-1-1-11-1111-1-11-1-1ii−i−ii−iiiii−i−i−i−i11-1-1iiii−i−i−i−ii−i11-1-1iiii−i−i−i−i1-111-1-1i−i11-1-1ii−i−ii−ii−i1-1
χ1011-1-11-1111-1-11-111-1-1-111-1-111-111-1-1-11-1111-1-11-1-1ii−i−ii−iiiii−i−i−i−i11-1-1iiii−i−i−i−ii−i-1-111iiii−i−i−i−i1-111-1-1−ii-1-111−i−iii−ii−ii-11
χ1111-1-11-1111-1-11-111-1-1-111-1-111-111-1-1-11-1111-1-11-1-1ii−i−i−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiii−i11-1-1iiii−i−i−i−i-11-1-111−ii11-1-1−i−iiii−ii−i-11
χ1211-1-11-1111-1-11-111-1-1-111-1-111-111-1-1-11-1111-1-11-1-1ii−i−i−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiii−i-1-111iiii−i−i−i−i-11-1-111i−i-1-111ii−i−i−ii−ii1-1
χ1311-1-11-1111-1-11-111-1-1-111-1-111-111-1-1-11-1111-1-11-1-1−i−iiii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−ii11-1-1−i−i−i−iiiii-11-1-111i−i11-1-1ii−i−i−ii−ii-11
χ1411-1-11-1111-1-11-111-1-1-111-1-111-111-1-1-11-1111-1-11-1-1−i−iiii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−i−i−iiiii-11-1-111−ii-1-111−i−iiii−ii−i1-1
χ1511-1-11-1111-1-11-111-1-1-111-1-111-111-1-1-11-1111-1-11-1-1−i−iii−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−ii11-1-1−i−i−i−iiiii1-111-1-1−ii11-1-1−i−iii−ii−ii1-1
χ1611-1-11-1111-1-11-111-1-1-111-1-111-111-1-1-11-1111-1-11-1-1−i−iii−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−ii-1-111−i−i−i−iiiii1-111-1-1i−i-1-111ii−i−ii−ii−i-11
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-200000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-20000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ192222222-122222-1-1-1-1-12-12-1-122-1-1-1-1-1-1-12-1-12-122-122222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-122-1-1-1-10000000000000000
χ202222222-122222-1-1-1-1-12-12-1-122-1-1-1-1-1-1-12-1-12-122-12222-2-2-2-211-2-211-1-1-1-111111111220000-1-1-1-1-1-1-1-1-2-211110000000000000000
χ212222222-122222-1-1-1-1-12-12-1-122-1-1-1-1-1-1-12-1-12-122-1-2-2-2-22222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000011111111-2-211110000000000000000
χ222222222-122222-1-1-1-1-12-12-1-122-1-1-1-1-1-1-12-1-12-122-1-2-2-2-2-2-2-2-211-2-211-1-1-1-111111111-2-200001111111122-1-1-1-10000000000000000
χ23222222-122222-122222-12-12-1-1-1-1-1-1-1-1-1-1-122-12-1-12000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10022220000000000000022-1-1-1-1-1-1-1-1000000
χ24222222-122222-122222-12-12-1-1-1-1-1-1-1-1-1-1-122-12-1-12000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000000000-2-211111111000000
χ25222222-122222-122222-12-12-1-1-1-1-1-1-1-1-1-1-122-12-1-120000-2-211-2-211-2-2-1-1-1-11111111100222200000000000000-2-2-1-1-1-11111000000
χ26222222-122222-122222-12-12-1-1-1-1-1-1-1-1-1-1-122-12-1-120000-2-211-2-211-2-2-1-1-1-11111111100-2-2-2-200000000000000221111-1-1-1-1000000
χ27222222-12-2-2-2-2-122222-12-12-1-1-1-1-1-1-1-1-1-11-2-21-211-2000000−i3i300−i3i3001111−i3−i3i3i3−i3−i3i3i3002i−2i2i−2i0000000000000000−ii−ii3−33−3000000
χ28222222-12-2-2-2-2-122222-12-12-1-1-1-1-1-1-1-1-1-11-2-21-211-2000000−i3i300−i3i3001111−i3−i3i3i3−i3−i3i3i300−2i2i−2i2i0000000000000000i−ii−i−33−33000000
χ29222222-12-2-2-2-2-122222-12-12-1-1-1-1-1-1-1-1-1-11-2-21-211-2000000i3−i300i3−i3001111i3i3−i3−i3i3i3−i3−i3002i−2i2i−2i0000000000000000−ii−ii−33−33000000
χ30222222-12-2-2-2-2-122222-12-12-1-1-1-1-1-1-1-1-1-11-2-21-211-2000000i3−i300i3−i3001111i3i3−i3−i3i3i3−i3−i300−2i2i−2i2i0000000000000000i−ii−i3−33−3000000
χ312222-2-22222-2-22-2-22-2-222222-2-2-2-22-2-222-22-22-22-22222200000000002-22-200000000-2-2000022-2-222-2-20000000000000000000000
χ322222-2-22222-2-22-2-22-2-222222-2-2-2-22-2-222-22-22-22-22-2-2-2-200000000002-22-200000000220000-2-222-2-2220000000000000000000000
χ332222-2-222-2-2222-2-22-2-222222-2-2-2-22-2-2222-22-22-22-200000000000000-22-220000000000000000000000000000000000000022-2-200
χ342222-2-222-2-2222-2-22-2-222222-2-2-2-22-2-2222-22-22-22-200000000000000-22-2200000000000000000000000000000000000000-2-22200
χ352222-2-22-122-2-2211-1112-12-1-1-2-211-111-1-1-2-11212-2-122220000−i3i300−i3i3-11-11−i3i3−i3i3−i3i3−i3i3-2-20000-1-111-1-11100−i3i3−i3i30000000000000000
χ362222-2-22-122-2-2211-1112-12-1-1-2-211-111-1-1-2-11212-2-122220000i3−i300i3−i3-11-11i3−i3i3−i3i3−i3i3−i3-2-20000-1-111-1-11100i3−i3i3−i30000000000000000
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χ3922-2-22-222-222-2-222-2-2-222-2-222-222-2-2-22-2-2-2-222-22200000000000000-2-22200000000002i−2i−2i2i00000000000000002i−2i−2i2i0000000000
χ4022-2-22-222-222-2-222-2-2-222-2-222-222-2-2-22-2-2-2-222-22200000000000000-2-2220000000000−2i2i2i−2i0000000000000000−2i2i2i−2i0000000000
χ4122-2-22-22-12-2-22-2-1-11112-1-21-12-2-1-1111-112-1-1-212-212i2i−2i−2i2i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii2i−2i0000−i−i−i−iiiii2-2-1-1110000000000000000
χ4222-2-22-22-12-2-22-2-1-11112-1-21-12-2-1-1111-112-1-1-212-212i2i−2i−2i−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i2i−2i0000−i−i−i−iiiii-2211-1-10000000000000000
χ4322-2-22-22-12-2-22-2-1-11112-1-21-12-2-1-1111-112-1-1-212-21−2i−2i2i2i2i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii−2i2i0000iiii−i−i−i−i-2211-1-10000000000000000
χ4422-2-22-22-12-2-22-2-1-11112-1-21-12-2-1-1111-112-1-1-212-21−2i−2i2i2i−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i−2i2i0000iiii−i−i−i−i2-2-1-1110000000000000000
χ4522-2-22-2-122-2-22122-2-2-2-121-2-1-11-1-1111-11-1221-2-11-200002i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii0022-2-2000000000000002i−2i-1-111−i−iii000000
χ4622-2-22-2-122-2-22122-2-2-2-121-2-1-11-1-1111-11-1221-2-11-200002i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii00-2-22200000000000000−2i2i11-1-1ii−i−i000000
χ4722-2-22-2-122-2-22122-2-2-2-121-2-1-11-1-1111-11-1221-2-11-20000−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i0022-2-200000000000000−2i2i-1-111ii−i−i000000
χ4822-2-22-2-122-2-22122-2-2-2-121-2-1-11-1-1111-11-1221-2-11-20000−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i00-2-222000000000000002i−2i11-1-1−i−iii000000
χ4922-2-22-2-12-222-2122-2-2-2-121-2-1-11-1-1111-111-2-2-121-120000003−300−330011-1-133−3−3−3−333002i−2i−2i2i0000000000000000−iii−ii3−i3−i3i3000000
χ5022-2-22-2-12-222-2122-2-2-2-121-2-1-11-1-1111-111-2-2-121-120000003−300−330011-1-133−3−3−3−33300−2i2i2i−2i0000000000000000i−i−ii−i3i3i3−i3000000
χ5122-2-22-2-12-222-2122-2-2-2-121-2-1-11-1-1111-111-2-2-121-12000000−33003−30011-1-1−3−33333−3−3002i−2i−2i2i0000000000000000−iii−i−i3i3i3−i3000000
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χ5322-2-2-22222-22-2-2-2-2-22222-2-22-22-2-2-2222-2-22-2-2222-22i2i−2i−2i00000000002-2-2200000000−2i2i00002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ5422-2-2-22222-22-2-2-2-2-22222-2-22-22-2-2-2222-2-22-2-2222-2−2i−2i2i2i00000000002-2-22000000002i−2i0000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
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χ5722-2-2-222-12-22-2-2111-1-12-1-21-1-22111-1-1-11-2-11-2-12212i2i−2i−2i00003−300−33-111-13−33−3−33−33−2i2i0000−i−iiiii−i−i00−i3i3i3−i30000000000000000
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χ914-4-4400440000-400-400-4-44440000-400-440000000022−22−2222000000000000000000000000000022−2200−2222000000000000000000000000
χ924-4-4400440000-400-400-4-44440000-400-4400000000−222222−220000000000000000000000000000−22220022−22000000000000000000000000
χ934-4-44004-20000-4−2i32i322i3−2i3-424-2-200−2i32i322i3−2i32-20000000022−22−22220000000000000000000000000000−22i6−i62−2−i6i60000000000000000000000
χ944-4-44004-20000-4−2i32i322i3−2i3-424-2-200−2i32i322i3−2i32-200000000−222222−2200000000000000000000000000002−2−i6i6−22i6−i60000000000000000000000
χ954-4-44004-20000-42i3−2i32−2i32i3-424-2-2002i3−2i32−2i32i32-20000000022−22−22220000000000000000000000000000−22−i6i62−2i6−i60000000000000000000000
χ964-4-44004-20000-42i3−2i32−2i32i3-424-2-2002i3−2i32−2i32i32-200000000−222222−2200000000000000000000000000002−2i6−i6−22−i6i60000000000000000000000
χ978-88-800-480000-4008004-84-8-40000-400440000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-4−4i34i3-4−4i34i344442002i3−2i322i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-44i3−4i3-44i3−4i34444200−2i32i32−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-480000400-8004-8-48-400004004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004−4i34i344i3−4i344-4-42002i3−2i3-2−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-4000044i3−4i34−4i34i344-4-4200−2i32i3-22i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000

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