Finite Group Databasebeta

← Group #11865007

Character table — Group #11865007

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222334444444444666668888888888888121212121212121212121216161616161616162424242424242424242424242424243636363636364872
order122334466443446661212121222412126881212121212122424242422224444661212122424242424242666688121212122424242422444464
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1111111-1-1-1-1111111-1-111111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111111-1-111111111111111-1-1-1-1-11111-1-1-1-11-11-111111-1-11-111-1-1-1-1-11-11-11-11111-1-11-11-111-1-1
χ6111111111111-1-111111111111111-1-1-1-1-11111-1-1-1-1-11-11-1-1111-1-11-111-1-11-1-1-111-1-11-1-111-1-1-11-11-1-111
χ7111111111111-1-11111111111111-11-1-1-1-111-1-111-1-11-11-1-1-1111-1-1-11-1-1111-1-11-1-111-1-1-1-1-1111-11-1-1-111
χ8111111111111-1-11111111111111-11-1-1-1-111-1-111-1-1-11-1111111-1-1-11-1-111-1-1-1-11-11-1111-1-111-11-1111-1-1
χ9111111111-1-11111111111-1-1-1-1-11111111111111-1-1111111-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1
χ10111111111-1-11111111111-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ11111111111-1-11111111111-1-1-1-1-11-1-1111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-11
χ12111111111-1-11111111111-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11-1-1-1-111-1-11111111111-1-11-1
χ13111111111-1-11-1-11111111-1-1-1-1-111-1-1-1-1-11111-1-1111-11-111-1-1-1-1-11-111-1-1-1111-1-111-111-1-111-11-11-1-1-11
χ14111111111-1-11-1-11111111-1-1-1-1-111-1-1-1-1-11111-1-111-11-11-1-1-1-1-1-1-11-111-1-1111-11-11-11-1-1-1-1111-11-1111-1
χ15111111111-1-11-1-11111111-1-1-1-1-11-11-1-1-1-111-1-111111-11-1-1-1-1-1-1-1-1-11-1-1111111-11-11-1-1-111-1-1-11-11111-1
χ16111111111-1-11-1-11111111-1-1-1-1-11-11-1-1-1-111-1-11111-11-1111-1-1-1-1-1-11-1-111-111-111-1-111111-1-11-11-1-1-1-11
χ1722222-2-2222222-2222-2-2-2-2-2-22222002-22-2-2-200002-2000000-2-222-200000002-200000000000000000000
χ1822222-2-222222-22222-2-2-2-2-2-2222200-22-22-2-20000-22000000-2-22-220000000-2200000000000000000000
χ1922222-2-222-2-222-2222-2-2-2-222-2-2-22002-22-2-2-20000-2200000022-22-20000000-2200000000000000000000
χ2022222-2-222-2-22-22222-2-2-2-222-2-2-2200-22-22-2-200002-200000022-2-2200000002-200000000000000000000
χ212222-1222-100-1222-1-1-1-12200000-12222-1-1-1-1222200222222000-1-1-1-1-1-1-1-1200-1-100-1-1-1-10000000000-10
χ222222-1222-100-1222-1-1-1-12200000-12222-1-1-1-1222200-2-2-2-2-2-2000-1-1-1-1-1-1-1-1-20011001111000000000010
χ232222-1222-100-1222-1-1-1-12200000-1-2-222-1-1-1-1-2-2-2-2002222-2-2000-1-1111111-200-1-100-1-111000000000010
χ242222-1222-100-1222-1-1-1-12200000-1-2-222-1-1-1-1-2-2-2-200-2-2-2-222000-1-1111111200110011-1-10000000000-10
χ252222-1222-100-1-2-22-1-1-1-12200000-12-2-2-211-1-122-2-2002-22-22200011-11-1-111-200-1100-11-1-1000000000010
χ262222-1222-100-1-2-22-1-1-1-12200000-12-2-2-211-1-122-2-200-22-22-2-200011-11-1-1112001-1001-1110000000000-10
χ272222-1222-100-1-2-22-1-1-1-12200000-1-22-2-211-1-1-2-222002-22-2-2-2000111-111-1-1200-1100-11110000000000-10
χ282222-1222-100-1-2-22-1-1-1-12200000-1-22-2-211-1-1-2-22200-22-2222000111-111-1-1-2001-1001-1-1-1000000000010
χ29222-1222-1222-122-12-122-1-1222-1-1-122-1-122-1-1-1-1-1-122000000-1-1-1-1-122-1-1-1-10-1-100220000-1-1-1-100000000
χ30222-1222-1222-122-12-122-1-1222-1-1-1-2-2-1-122-1-1111122000000-1-1-1-1-1-2-211110-1-100-2-20000111100000000
χ31222-1222-1222-1-2-2-12-122-1-1222-1-1-12-211-2-2-1-1-1-111-2-2000000-1-1-1112-2-1-111011002-20000-1-11100000000
χ32222-1222-1222-1-2-2-12-122-1-1222-1-1-1-2211-2-2-1-111-1-1-2-2000000-1-1-111-2211-1-101100-22000011-1-100000000
χ33222-1222-12-2-2-122-12-122-1-1-2-2-211-122-1-122-1-1-1-1-1-1-2-2000000111-1-122-1-1-1-101100-2-20000111100000000
χ34222-1222-12-2-2-122-12-122-1-1-2-2-211-1-2-2-1-122-1-11111-2-2000000111-1-1-2-2111101100220000-1-1-1-100000000
χ35222-1222-12-2-2-1-2-2-12-122-1-1-2-2-211-12-211-2-2-1-1-1-11122000000111112-2-1-1110-1-100-22000011-1-100000000
χ36222-1222-12-2-2-1-2-2-12-122-1-1-2-2-211-1-2211-2-2-1-111-1-12200000011111-2211-1-10-1-1002-20000-1-11100000000
χ37222-12-2-2-1222-12-2-12-1-2-211-2-22-1-1-100-112-2113−33−32-200000011-1-11003−33−30-11000000003−33−300000000
χ38222-12-2-2-1222-12-2-12-1-2-211-2-22-1-1-100-112-211−33−332-200000011-1-1100−33−330-1100000000−33−3300000000
χ39222-12-2-2-1222-1-22-12-1-2-211-2-22-1-1-1001-1-22113−3−33-2200000011-11-1003−3−3301-1000000003−3−3300000000
χ40222-12-2-2-1222-1-22-12-1-2-211-2-22-1-1-1001-1-2211−333−3-2200000011-11-100−333−301-100000000−333−300000000
χ41222-12-2-2-12-2-2-12-2-12-1-2-21122-211-100-112-2113−33−3-22000000-1-11-11003−33−301-100000000−33−3300000000
χ42222-12-2-2-12-2-2-12-2-12-1-2-21122-211-100-112-211−33−33-22000000-1-11-1100−33−3301-1000000003−33−300000000
χ43222-12-2-2-12-2-2-1-22-12-1-2-21122-211-1001-1-22113−3−332-2000000-1-111-1003−3−330-1100000000−333−300000000
χ44222-12-2-2-12-2-2-1-22-12-1-2-21122-211-1001-1-2211−333−32-2000000-1-111-100−333−30-11000000003−3−3300000000
χ4522-2222-22222200-2-222-22-22-2-222-20000002-2000000020-2002-2-20000000000002000-20000000-2020000
χ4622-2222-22222200-2-222-22-22-2-222-20000002-20000000-202002-2-2000000000000-20002000000020-20000
χ4722-2222-222-2-2200-2-222-22-2-222-2-2-20000002-2000000020-200-2220000000000002000-2000000020-20000
χ4822-2222-222-2-2200-2-222-22-2-222-2-2-20000002-20000000-20200-222000000000000-200020000000-2020000
χ4922-222-222222200-2-22-22-22-22-222-2000000-2200000020-2000-22-2000000000002000-20000000-20200000
χ5022-222-222222200-2-22-22-22-22-222-2000000-22000000-202000-22-200000000000-20002000000020-200000
χ5122-222-2222-2-2200-2-22-22-222-22-2-2-2000000-2200000020-20002-22000000000002000-2000000020-200000
χ5222-222-2222-2-2200-2-22-22-222-22-2-2-2000000-22000000-2020002-2200000000000-200020000000-20200000
χ534444-2-4-44-200-24-44-2-222-4-400000-2004-4-2222000000000000000-2200000000000000000000000000000
χ544444-2-4-44-200-2-444-2-222-4-400000-200-442-2220000000000000002-200000000000000000000000000000
χ55444-2-244-2-200144-2-21-2-2-2-200000144-2-2-2-211-2-2-2-20000000000011-2-2111100000000000000000000000
χ56444-2-244-2-200144-2-21-2-2-2-2000001-4-4-2-2-2-2112222000000000001122-1-1-1-100000000000000000000000
χ57444-2-244-2-2001-4-4-2-21-2-2-2-20000014-4222211-2-22200000000000-1-1-2211-1-100000000000000000000000
χ58444-2-244-2-2001-4-4-2-21-2-2-2-2000001-4422221122-2-200000000000-1-12-2-1-11100000000000000000000000
χ59444-2-2-4-4-2-20014-4-2-21222200000100-22-22-1-123−2323−23000000000001-100−33−3300000000000000000000000
χ60444-2-2-4-4-2-20014-4-2-21222200000100-22-22-1-1−2323−2323000000000001-1003−33−300000000000000000000000
χ61444-2-2-4-4-2-2001-44-2-212222000001002-22-2-1-123−23−232300000000000-1100−333−300000000000000000000000
χ62444-2-2-4-4-2-2001-44-2-212222000001002-22-2-1-1−232323−2300000000000-11003−3−3300000000000000000000000
χ6344-44-24-44-200-200-42-2-224-4000002000000-22000000040-400000000000000000-2000200000000000000
χ6444-44-24-44-200-200-42-2-224-4000002000000-220000000-404000000000000000002000-200000000000000
χ6544-44-2-444-200-200-42-22-2-440000020000002-200000040-400000000000000000-20002000000000000000
χ6644-44-2-444-200-200-42-22-2-440000020000002-2000000-404000000000000000002000-2000000000000000
χ6744-4-244-4-2444-2002-4-24-4-224-4-4-2-22000000-22000000000000-2220000000000000000000000000000000
χ6844-4-244-4-24-4-4-2002-4-24-4-22-444222000000-220000000000002-2-20000000000000000000000000000000
χ6944-4-24-44-2444-2002-4-2-442-2-44-4-2-220000002-20000000000002-220000000000000000000000000000000
χ7044-4-24-44-24-4-4-2002-4-2-442-24-442220000002-2000000000000-22-20000000000000000000000000000000
χ714-404400-4-44i−4i40000-400000004i−4i00000000000000000002i−2i000000000000000000002i−2i000000002-200
χ724-404400-4-44i−4i40000-400000004i−4i0000000000000000000−2i2i00000000000000000000−2i2i00000000-2200
χ734-404400-4-4−4i4i40000-40000000−4i4i00000000000000000002i−2i000000000000000000002i−2i00000000-2200
χ744-404400-4-4−4i4i40000-40000000−4i4i0000000000000000000−2i2i00000000000000000000−2i2i000000002-200
χ7588-8-4-48-8-4-400200442-44-4400000-20000002-20000000000000000000000000000000000000000000000
χ7688-8-4-4-88-4-4002004424-44-400000-2000000-220000000000000000000000000000000000000000000000
χ778-808-400-8400-40000400000000000000000000000000004i−4i00000000000000000000−2i2i000000000000
χ788-808-400-8400-4000040000000000000000000000000000−4i4i000000000000000000002i−2i000000000000
χ798-80-48004-88i−8i-4000040000000−4i4i0000000000000000000000000000000000000000000000000000000
χ808-80-48004-8−8i8i-40000400000004i−4i0000000000000000000000000000000000000000000000000000000
χ8116-160-8-800880040000-40000000000000000000000000000000000000000000000000000000000000000

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