Finite Group Databasebeta

← Group #11868140

Character table — Group #11868140

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222224444444444666666888888888888812121212121212121212121616161616161616242424242424242424242424243636363648487272
order1223344663666881212121222441212266681212242424242424246688881224246662424242424246881212122424242424248862428
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111-1-11-1-111111111-11-11-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-11-1111111-1-111111111111-1-1-1-111-1-1-1-11-1-11-1-111-1-111111-1-1-1-1
χ41111111111111111111111111-1-1-11-1111111-1-1-1-11111-1-11-1-1-1-1-1-111-1-11-1-1-11-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-111-111111111111-11-111-1-1-1-1-1-11-1-1-1-111-1-1
χ61111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111-1-1-1-1-1-1-1-1-11-1111111-1-111-1-1-1-111-111-1-1-1-111-1-1-1111-1111-1-1111-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-111-1-111-1111111-1-1
χ91111111111111-1-111111111111111-111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-1-111-11111-1-1-1-1-111-1-1-11-11
χ101111111111111-1-111111111111111-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111-1-1-1-111-1-1-1-11-1-1111-11-1
χ111111111111111-1-11111111111-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-11-1-1111-111-11-1-1-1-111-111-1-11-11-1
χ121111111111111-1-11111111111-1-1-11111-1-1-1-111-1-111-1-111111-1-1-11-1-111-1-1-111-1-1-1-1-1111-1-111-11-11
χ131111111111111-1-11111-1-1-1-1-1-11111-111-1-1-1-1-1-111-1-111-1-1-1-1-1111-1-1-1-1-1-1-11111-1-11111-1-1-111-111-1
χ141111111111111-1-11111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-11-1-11-1-1-1-11111111-1-11-1-11
χ151111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-111111-1-111111-1-1-1-1-1111-1-11
χ161111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-111-1-1-11-1-111-11-1-11-11111-1-1111-1-1-111-1
χ1722222-2-22222222i−2i-2-2-2-222-2-2-2-200020-2-22i2i−2i−2i0000222i−2i00-20000002i−2i00000000002i−2i00000000000
χ1822222-2-22222222i−2i-2-2-2-2-2-2222200020-2-22i2i−2i−2i0000-2-2−2i2i0020000002i−2i0000000000−2i2i00000000000
χ1922222-2-2222222−2i2i-2-2-2-222-2-2-2-200020-2-2−2i−2i2i2i000022−2i2i00-2000000−2i2i0000000000−2i2i00000000000
χ2022222-2-2222222−2i2i-2-2-2-2-2-2222200020-2-2−2i−2i2i2i0000-2-22i−2i002000000−2i2i00000000002i−2i00000000000
χ212222-122-12-12-1-122-1-122000000222-12-1-12-12-122220000220-1-1-1-1-1-1-1-1-1-120-102-1000000-10000-1-100
χ222222-122-12-12-1-122-1-122000000222-12-1-12-12-122-2-20000-2-2011-1-1-1-1-1-1-1-1-2010-21000000100001100
χ232222-122-12-12-1-122-1-122000000-2-2-2-1-2-1-12-12-1-2-2220000220-1-11111-1-111-20-10-2-1000000-100001100
χ242222-122-12-12-1-122-1-122000000-2-2-2-1-2-1-12-12-1-2-2-2-20000-2-20111111-1-11120102100000010000-1-100
χ252222-122-12-12-1-1-2-2-1-122000000222-1-2-1-1-21-21-2-2220000-2-2011-1-1-111111-20-102-1000000100001-100
χ262222-122-12-12-1-1-2-2-1-122000000222-1-2-1-1-21-21-2-2-2-20000220-1-1-1-1-1111112010-21000000-10000-1100
χ272222-122-12-12-1-1-2-2-1-122000000-2-2-2-12-1-1-21-2122220000-2-2011111-111-1-120-10-2-100000010000-1100
χ282222-122-12-12-1-1-2-2-1-122000000-2-2-2-12-1-1-21-2122-2-20000220-1-1111-111-1-1-201021000000-100001-100
χ29222-12222-1-1-12-12222-1-12222-1-12-1-1-12-1-1-12-12-1-100-1-12200-1002-1-12-1-1-1-1020200-1-1-1-1-1-1000000000
χ30222-12222-1-1-12-12222-1-12222-1-1-211-1-2-1-1-12-121100-1-12200-100-211-2-1-1110-20-20011-1-111000000000
χ31222-12222-1-1-12-12222-1-1-2-2-2-2112-1-1-12-1-1-12-12-1-10011-2-2001002-1-12-1-1-1-10-20-200111111000000000
χ32222-12222-1-1-12-12222-1-1-2-2-2-211-211-1-2-1-1-12-12110011-2-200100-211-2-1-111020200-1-111-1-1000000000
χ33222-12222-1-1-12-1-2-222-1-12222-1-12-1-1-1-2-1-11-21-21100-1-1-2-200-1002-1-1-21111020-200-1-11111000000000
χ34222-12222-1-1-12-1-2-222-1-12222-1-1-211-12-1-11-21-2-1-100-1-1-2-200-100-211211-1-10-202001111-1-1000000000
χ35222-12222-1-1-12-1-2-222-1-1-2-2-2-2112-1-1-1-2-1-11-21-211001122001002-1-1-211110-2020011-1-1-1-1000000000
χ36222-12222-1-1-12-1-2-222-1-1-2-2-2-211-211-12-1-11-21-2-1-100112200100-211211-1-1020-200-1-1-1-111000000000
χ37222-12-2-22-1-1-12-12i−2i-2-21122-2-2110−i3i3-1011−i2ii−2i3−300-1-12i−2i001000−i3i30−ii3−3000000−i3i3−ii3−3000000000
χ38222-12-2-22-1-1-12-12i−2i-2-21122-2-2110i3−i3-1011−i2ii−2i−3300-1-12i−2i001000i3−i30−ii−33000000i3−i3−ii−33000000000
χ39222-12-2-22-1-1-12-12i−2i-2-211-2-222-1-10−i3i3-1011−i2ii−2i3−30011−2i2i00-1000−i3i30−ii3−3000000i3−i3i−i−33000000000
χ40222-12-2-22-1-1-12-12i−2i-2-211-2-222-1-10i3−i3-1011−i2ii−2i−330011−2i2i00-1000i3−i30−ii−33000000−i3i3i−i3−3000000000
χ41222-12-2-22-1-1-12-1−2i2i-2-21122-2-2110−i3i3-1011i−2i−i2i−3300-1-1−2i2i001000−i3i30i−i−33000000−i3i3i−i−33000000000
χ42222-12-2-22-1-1-12-1−2i2i-2-21122-2-2110i3−i3-1011i−2i−i2i3−300-1-1−2i2i001000i3−i30i−i3−3000000i3−i3i−i3−3000000000
χ43222-12-2-22-1-1-12-1−2i2i-2-211-2-222-1-10−i3i3-1011i−2i−i2i−3300112i−2i00-1000−i3i30i−i−33000000i3−i3−ii3−3000000000
χ44222-12-2-22-1-1-12-1−2i2i-2-211-2-222-1-10i3−i3-1011i−2i−i2i3−300112i−2i00-1000i3−i30i−i3−3000000−i3i3−ii−33000000000
χ4522-2222-2222-2-22002-22-22-22-222000-202-2000000002-2002-2-22200000000000000000000-2002-20000
χ4622-2222-2222-2-22002-22-22-22-222000-202-2000000002-200-22-2-2-200000000000000000000200-220000
χ4722-2222-2222-2-22002-22-2-22-22-2-2000-202-200000000-22002-222200000000000000000000-200-220000
χ4822-2222-2222-2-22002-22-2-22-22-2-2000-202-200000000-2200-222-2-2000000000000000000002002-20000
χ4922-222-22222-2-2200-22-222-2-22-2-2000-20-220000002-22-200002000000000000200-20000000-22000000
χ5022-222-22222-2-2200-22-222-2-22-2-2000-20-22000000-222-200002000000000000-200200000002-2000000
χ5122-222-22222-2-2200-22-22-222-222000-20-220000002-2-220000-2000000000000200-200000002-2000000
χ5222-222-22222-2-2200-22-22-222-222000-20-22000000-22-220000-2000000000000-20020000000-22000000
χ534444-2-4-4-24-24-2-24i−4i22-4-4000000000-20224i−2i−4i2i00000000000000000−2i2i00000000000000000000000
χ544444-2-4-4-24-24-2-2−4i4i22-4-4000000000-2022−4i2i4i−2i000000000000000002i−2i00000000000000000000000
χ55444-2-244-2-21-2-2144-2-2-2-20000004-2-21411-2-2-2-2-2-200000000000-211-21111000000000000000000000
χ56444-2-244-2-21-2-2144-2-2-2-2000000-4221-411-2-2-2-222000000000002-1-1211-1-1000000000000000000000
χ57444-2-244-2-21-2-21-4-4-2-2-2-20000004-2-21-41122222200000000000-2112-1-1-1-1000000000000000000000
χ58444-2-244-2-21-2-21-4-4-2-2-2-2000000-42214112222-2-2000000000002-1-1-2-1-111000000000000000000000
χ59444-2-2-4-4-2-21-2-214i−4i22220000000−2i32i310-1-1−2i−2i2i2i23−23000000000000i3−i30i−i−33000000000000000000000
χ60444-2-2-4-4-2-21-2-214i−4i222200000002i3−2i310-1-1−2i−2i2i2i−2323000000000000−i3i30i−i3−3000000000000000000000
χ61444-2-2-4-4-2-21-2-21−4i4i22220000000−2i32i310-1-12i2i−2i−2i−2323000000000000i3−i30−ii3−3000000000000000000000
χ62444-2-2-4-4-2-21-2-21−4i4i222200000002i3−2i310-1-12i2i−2i−2i23−23000000000000−i3i30−ii−33000000000000000000000
χ6344-44-24-4-24-2-42-200-224-400000000020-220000000000004-40-2-200000000000000000000200000000
χ6444-44-24-4-24-2-42-200-224-400000000020-22000000000000-4402200000000000000000000-200000000
χ6544-44-2-44-24-2-42-2002-2-44000000000202-20000004-40000000000000000000-2002000000000000000
χ6644-44-2-44-24-2-42-2002-2-44000000000202-2000000-440000000000000000000200-2000000000000000
χ6744-4-244-44-2-22-4-2004-4-224-44-4-2-200020-2200000000-22000020000000000000000000000000000000
χ6844-4-244-44-2-22-4-2004-4-22-44-442200020-22000000002-20000-20000000000000000000000000000000
χ6944-4-24-444-2-22-4-200-442-24-4-4422000202-200000000-220000-20000000000000000000000000000000
χ7044-4-24-444-2-22-4-200-442-2-444-4-2-2000202-2000000002-2000020000000000000000000000000000000
χ7188-8-4-48-8-4-4244200-44-44000000000-202-20000000000000000000000000000000000000000000000
χ7288-8-4-4-88-4-42442004-44-4000000000-20-220000000000000000000000000000000000000000000000
χ738-808800-8-8800-800000000000000000000000000000000000000000000000000000000000000000
χ748-808-4004-8-400400000000000000000000000000000000002i6−2i600000000000000000000000000000
χ758-808-4004-8-40040000000000000000000000000000000000−2i62i600000000000000000000000000000
χ768-80-4800-84-4004000000000043−4300000000000000000000000000000000000000000000000000000
χ778-80-4800-84-40040000000000−434300000000000000000000000000000000000000000000000000000
χ7816-160-8-80088400-400000000000000000000000000000000000000000000000000000000000000000

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