Finite Group Databasebeta

← Group #11789678

Character table — Group #11789678

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122222334444666666121212123666666612121212121212121212888866881212242424242424242424242424242424244444882424242424242424226666881212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911-1-11-111-11-11-1-111-1-1-1-11111-11-1-1-11111-111-1-1-1-1ii−i−i1-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−ii−ii−ii−iiiii−i−i−i−i1-111-1-11-1ii−i−i11-1-111-1-1i−i
χ1011-1-11-111-11-11-1-111-1-1-1-11111-11-1-1-11111-111-1-1-1-1ii−i−i1-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i−ii−iii−iiiii−i−i−i−i-11-1-1111-1−i−iii11-1-1-1-111−ii
χ1111-1-11-111-11-11-1-111-1-1-1-11111-11-1-1-11111-111-1-1-1-1ii−i−i1-1−ii1-1−i−iii−i−i−i−i−i−iiiiiiii−ii−ii−iiiii−i−i−i−i-11-1-111-11ii−i−i-1-11111-1-1−ii
χ1211-1-11-111-11-11-1-111-1-1-1-11111-11-1-1-11111-111-1-1-1-1ii−i−i1-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii−ii−iii−iiiii−i−i−i−i1-111-1-1-11−i−iii-1-111-1-111i−i
χ1311-1-11-111-11-11-1-111-1-1-1-11111-11-1-1-11111-111-1-1-1-1−i−iii1-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−ii−ii−i−ii−i−i−i−iiiii1-111-1-1-11ii−i−i-1-111-1-111−ii
χ1411-1-11-111-11-11-1-111-1-1-1-11111-11-1-1-11111-111-1-1-1-1−i−iii1-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i−ii−ii−ii−i−i−i−iiiii-11-1-111-11−i−iii-1-11111-1-1i−i
χ1511-1-11-111-11-11-1-111-1-1-1-11111-11-1-1-11111-111-1-1-1-1−i−iii1-1−ii1-1−i−iii−i−i−i−i−i−iiiiiiii−ii−i−ii−i−i−i−iiiii-11-1-1111-1ii−i−i11-1-1-1-111i−i
χ1611-1-11-111-11-11-1-111-1-1-1-11111-11-1-1-11111-111-1-1-1-1−i−iii1-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii−ii−ii−ii−i−i−i−iiiii1-111-1-11-1−i−iii11-1-111-1-1−ii
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-200002200-2-200000000000000000000000000000000000000000000002i−2i2i−2i00
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-200002200-2-20000000000000000000000000000000000000000000000−2i2i−2i2i00
χ192222222-12222222-1-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-120000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000022-1-1-1-100-1-1-1-10000000000
χ202222222-12222222-1-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-120000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-211110011110000000000
χ212222222-12222222-1-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-120000-1-1-2-2-1-1-2-2-2-211111111111122220000000000-2-2111100-1-1-1-10000000000
χ222222222-12222222-1-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-120000-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-2000000000022-1-1-1-10011110000000000
χ23222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1222-1-12-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ24222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1222-1-12-1-1-12222-1-1-2-2-1-11111-2-21111-2-21111000022-1-1-1-1-1-1-1-1000000-2-200001111000000
χ25222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1222-1-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-211111111000000-2-200001111000000
χ26222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1222-1-12-1-1-1-2-2-2-2-1-1-2-2-1-11111-2-21111-2-211110000-2-211111111000000220000-1-1-1-1000000
χ272222-2-22222-2-222222222222-2-2-2-2222-22-2-222222-20000-2-200-2-2000000000000000022-2-20000000000000000002-22-20000000000
χ282222-2-22222-2-222222222222-2-2-2-2222-22-2-222222-20000-2-200-2-20000000000000000-2-222000000000000000000-22-220000000000
χ292222-2-222-2-222222222-2-2-2-22-2-2-2-22222-222-2-2-2-2-222222-2-2002200000000000000000000-2-222-2-222-2-20000000000000000000000
χ302222-2-222-2-222222222-2-2-2-22-2-2-2-22222-222-2-2-2-2-22-2-2-2-2-2-200220000000000000000000022-2-222-2-2220000000000000000000000
χ312222-2-22-122-2-2222-1-1-12222-1-2-211-1-1-1-2-111-1-1-1-1-1-200001100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i322-2-2000000000000−i3i3−i3i300-11-110000000000
χ322222-2-22-122-2-2222-1-1-12222-1-2-211-1-1-1-2-111-1-1-1-1-1-200001100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3-2-222000000000000i3−i3i3−i3001-11-10000000000
χ332222-2-22-122-2-2222-1-1-12222-1-2-211-1-1-1-2-111-1-1-1-1-1-200001100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i322-2-2000000000000i3−i3i3−i300-11-110000000000
χ342222-2-22-122-2-2222-1-1-12222-1-2-211-1-1-1-2-111-1-1-1-1-1-200001100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3-2-222000000000000−i3i3−i3i3001-11-10000000000
χ352222-2-2-12-2-222-1-1-12221111-111-2-2-1-1-1-1-22211-211-122221100-1-13−33−3003−33−3003−33−30000-2-2-1-111-1-1110000000000003−33−3000000
χ362222-2-2-12-2-222-1-1-12221111-111-2-2-1-1-1-1-22211-211-122221100-1-1−33−3300−33−3300−33−330000-2-2-1-111-1-111000000000000−33−33000000
χ372222-2-2-12-2-222-1-1-12221111-111-2-2-1-1-1-1-22211-211-1-2-2-2-21100-1-13−33−3003−33−3003−33−300002211-1-111-1-1000000000000−33−33000000
χ382222-2-2-12-2-222-1-1-12221111-111-2-2-1-1-1-1-22211-211-1-2-2-2-21100-1-1−33−3300−33−3300−33−3300002211-1-111-1-10000000000003−33−3000000
χ3922-2-22-2222-22-2-2-222-2-222-2-222-22-2-2-22-2-2-22-2-2222200002-200-2200000000000000000000000000000000000000000000002i−2i−2i2i00
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χ4122-2-22-22-1-22-22-2-22-111-2-222-12-2-1111-12-1-11-1-1111-20000-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii2i−2i2i−2i00000000002-2-1-11100−i−iii0000000000
χ4222-2-22-22-1-22-22-2-22-111-2-222-12-2-1111-12-1-11-1-1111-20000-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii−2i2i−2i2i0000000000-2211-1-100ii−i−i0000000000
χ4322-2-22-22-1-22-22-2-22-111-2-222-12-2-1111-12-1-11-1-1111-20000-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i2i−2i2i−2i0000000000-2211-1-100−i−iii0000000000
χ4422-2-22-22-1-22-22-2-22-111-2-222-12-2-1111-12-1-11-1-1111-20000-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i−2i2i−2i2i00000000002-2-1-11100ii−i−i0000000000
χ4522-2-22-2-12-22-2211-12-2-211-1-1-1-112-211-1-122-2-1-1-21112i2i−2i−2i-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii00002i−2i−i−i−i−iiiii0000002-20000-1-111000000
χ4622-2-22-2-12-22-2211-12-2-211-1-1-1-112-211-1-122-2-1-1-21112i2i−2i−2i-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i00002i−2i−i−i−i−iiiii000000-22000011-1-1000000
χ4722-2-22-2-12-22-2211-12-2-211-1-1-1-112-211-1-122-2-1-1-2111−2i−2i2i2i-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii0000−2i2iiiii−i−i−i−i000000-22000011-1-1000000
χ4822-2-22-2-12-22-2211-12-2-211-1-1-1-112-211-1-122-2-1-1-2111−2i−2i2i2i-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000−2i2iiiii−i−i−i−i0000002-20000-1-111000000
χ4922-2-2-22222-2-22-2-222-2-222-2-22-22-22-2-222-22-2-2-2222-22i2i−2i−2i-22002-200000000000000000000−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ5022-2-2-22222-2-22-2-222-2-222-2-22-22-22-2-222-22-2-2-2222-2−2i−2i2i2i-22002-2000000000000000000002i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ5122-2-2-2222-222-2-2-222-2-2-2-2222-22-22-2-22-22-2222-2-2-220000-2200-2200000000000000002i−2i−2i2i0000000000000000002i−2i−2i2i0000000000
χ5222-2-2-2222-222-2-2-222-2-2-2-2222-22-22-2-22-22-2222-2-2-220000-2200-220000000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i0000000000
χ5322-2-2-222-1-222-2-2-22-111-2-222-1-221-111-1-2-11-1-1-1111200001-1001-100003−333−3−3−33−3−3332i−2i−2i2i000000000000−i3i3i3−i300−iii−i0000000000
χ5422-2-2-222-1-222-2-2-22-111-2-222-1-221-111-1-2-11-1-1-1111200001-1001-100003−333−3−3−33−3−333−2i2i2i−2i000000000000i3−i3−i3i300i−i−ii0000000000
χ5522-2-2-222-1-222-2-2-22-111-2-222-1-221-111-1-2-11-1-1-1111200001-1001-10000−33−3−3333−333−3−32i−2i−2i2i000000000000i3−i3−i3i300−iii−i0000000000
χ5622-2-2-222-1-222-2-2-22-111-2-222-1-221-111-1-2-11-1-1-1111200001-1001-10000−33−3−3333−333−3−3−2i2i2i−2i000000000000−i3i3i3−i300i−i−ii0000000000
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χ904-44-400-240000-222-44-4−2323−2323-20000-2220000−23230−232302i2−2i22i2−2i20000000000000000000000000000−i2i2i6−i6−i2i2i6−i60000000000000000000000
χ914-4-4400440000-44-4-4-44000040000-44-4000000000022−22−2222000000000000000000000000000022−2200−2222000000000000000000000000
χ924-4-4400440000-44-4-4-44000040000-44-40000000000−222222−220000000000000000000000000000−22220022−22000000000000000000000000
χ934-4-4400-2400002-22-4-4423−23−2323-200002-220000−2323023−23022−22−22220000000000000000000000000000−226−62−2−660000000000000000000000
χ944-4-4400-2400002-22-4-4423−23−2323-200002-220000−2323023−230−222222−2200000000000000000000000000002−2−66−226−60000000000000000000000
χ954-4-4400-2400002-22-4-44−232323−23-200002-22000023−230−2323022−22−22220000000000000000000000000000−22−662−26−60000000000000000000000
χ964-4-4400-2400002-22-4-44−232323−23-200002-22000023−230−23230−222222−2200000000000000000000000000002−26−6−22−660000000000000000000000
χ978-88-8008-400008-8-84-440000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-4444-4443−4343−43200002-2-20000−23230−2323000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-4444-44−4343−4343200002-2-2000023−23023−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-88-844-40000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-4444-443−43−434320000-22-2000023−230−2323000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-4444-4−434343−4320000-22-20000−2323023−23000000000000000000000000000000000000000000000000000000000000000

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