Finite Group Databasebeta

← Group #11868135

Character table — Group #11868135

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222224444444444666666888888888888812121212121212121212121616161616161616242424242424242424242424243636363648487272
order1223344663666881212121222446626668121224242424242424688881212242466624242424242266688122424242424248862448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1111-1-111-1-1111111111-111-11-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-11-1111111-1-111111111111-1-1-1-111-1-1-1-1-1-11-1-1111-1-111111-1-1-1-1
χ41111111111111111111111111-1-1-11-1111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-11-1-1-1-11-111-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1-1-1111111111111111-1-1-111-1-11111111111-11-1-11-111-1-1-1-11-1-1-1-111-1-1
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
χ71111111111111111111-1-1-1-1-1-1-1-1-11-1111111-1-111-1-1-111-1-111-1-1-1-111-1-11-11111-11-1-1111-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1-111-1111111-1-1
χ91111111111111-1-111111111111111-111-1-1-1-1-1-1111-1-1-1-111-1-1111-1-1-1-1-11-1111-111-1-1-1-1-111-1-1-11-11
χ101111111111111-1-111111111111111-111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-11-1
χ111111111111111-1-11111111111-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-1-11-1-111-11-1-111-11-1-111-111-1-11-11-1
χ121111111111111-1-11111111111-1-1-11111-1-1-1-111-1-11-1-1111111-1-1-11-1-111-1-1-1-1-111-1-1-1111-1-111-11-11
χ131111111111111-1-11111-1-1-1-1-1-11111-111-1-1-1-1-1-111-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111111111-1-1-111-111-1
χ141111111111111-1-11111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1-11-1-1-11-1-11111111-1-11-1-11
χ151111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-1-1-1-11-1-11111111-1-1111-1-1-1-1-1111-1-11
χ161111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-111-1-1-11-1-1111-111-1-11-111-1-1111-1-1-111-1
χ1722222-2-22222222i−2i-2-2-2-222-2-22200020-2-22i2i−2i−2i000022i−2i00-2-20000002i−2i00000000002i−2i00000000000
χ1822222-2-22222222i−2i-2-2-2-2-2-222-2-200020-2-22i2i−2i−2i0000-2−2i2i00220000002i−2i0000000000−2i2i00000000000
χ1922222-2-2222222−2i2i-2-2-2-222-2-22200020-2-2−2i−2i2i2i00002−2i2i00-2-2000000−2i2i0000000000−2i2i00000000000
χ2022222-2-2222222−2i2i-2-2-2-2-2-222-2-200020-2-2−2i−2i2i2i0000-22i−2i0022000000−2i2i00000000002i−2i00000000000
χ212222-1222-1-12-1-12222-1-1000000222-12-1-12-12-122220002200-1-1-1-1-1-1-1-1-1-10200-102-10000-10000-1-100
χ222222-1222-1-12-1-12222-1-1000000222-12-1-12-12-122-2-2000-2-20011-1-1-1-1-1-1-1-10-20010-210000100001100
χ232222-1222-1-12-1-12222-1-1000000-2-2-2-1-2-1-12-12-1-2-2220002200-1-11111-1-1110-200-10-2-10000-100001100
χ242222-1222-1-12-1-12222-1-1000000-2-2-2-1-2-1-12-12-1-2-2-2-2000-2-200111111-1-11102001021000010000-1-100
χ252222-1222-1-12-1-1-2-222-1-1000000222-1-2-1-1-21-21-2-222000-2-20011-1-1-1111110-200-102-10000100001-100
χ262222-1222-1-12-1-1-2-222-1-1000000222-1-2-1-1-21-21-2-2-2-20002200-1-1-1-1-111111020010-210000-10000-1100
χ272222-1222-1-12-1-1-2-222-1-1000000-2-2-2-12-1-1-21-212222000-2-20011111-111-1-10200-10-2-1000010000-1100
χ282222-1222-1-12-1-1-2-222-1-1000000-2-2-2-12-1-1-21-2122-2-20002200-1-1111-111-1-10-20010210000-100001-100
χ29222-1222-12-1-12-122-1-1222222-1-12-1-1-12-1-1-12-12-1-100-12200-1-1002-1-12-1-1-1-120-1-10200-1-1-1-1000000000
χ30222-1222-12-1-12-122-1-1222222-1-1-211-1-2-1-1-12-121100-12200-1-100-211-2-1-111-20110-200-1-111000000000
χ31222-1222-12-1-12-122-1-122-2-2-2-2112-1-1-12-1-1-12-12-1-1001-2-20011002-1-12-1-1-1-1-20110-2001111000000000
χ32222-1222-12-1-12-122-1-122-2-2-2-211-211-1-2-1-1-12-1211001-2-2001100-211-2-1-11120-1-1020011-1-1000000000
χ33222-1222-12-1-12-1-2-2-1-1222222-1-12-1-1-1-2-1-11-21-21100-1-2-200-1-1002-1-1-2111120-1-10-2001111000000000
χ34222-1222-12-1-12-1-2-2-1-1222222-1-1-211-12-1-11-21-2-1-100-1-2-200-1-100-211211-1-1-2011020011-1-1000000000
χ35222-1222-12-1-12-1-2-2-1-122-2-2-2-2112-1-1-1-2-1-11-21-211001220011002-1-1-21111-20110200-1-1-1-1000000000
χ36222-1222-12-1-12-1-2-2-1-122-2-2-2-211-211-12-1-11-21-2-1-100122001100-211211-1-120-1-10-200-1-111000000000
χ37222-12-2-2-12-1-12-12i−2i11-2-222-2-2-1-10−i3i3-1011−i2ii−2i3−300-12i−2i0011000−i3i30−ii3−300−i3i30000−ii3−3000000000
χ38222-12-2-2-12-1-12-12i−2i11-2-222-2-2-1-10i3−i3-1011−i2ii−2i−3300-12i−2i0011000i3−i30−ii−3300i3−i30000−ii−33000000000
χ39222-12-2-2-12-1-12-12i−2i11-2-2-2-222110−i3i3-1011−i2ii−2i3−3001−2i2i00-1-1000−i3i30−ii3−300i3−i30000i−i−33000000000
χ40222-12-2-2-12-1-12-12i−2i11-2-2-2-222110i3−i3-1011−i2ii−2i−33001−2i2i00-1-1000i3−i30−ii−3300−i3i30000i−i3−3000000000
χ41222-12-2-2-12-1-12-1−2i2i11-2-222-2-2-1-10−i3i3-1011i−2i−i2i−3300-1−2i2i0011000−i3i30i−i−3300−i3i30000i−i−33000000000
χ42222-12-2-2-12-1-12-1−2i2i11-2-222-2-2-1-10i3−i3-1011i−2i−i2i3−300-1−2i2i0011000i3−i30i−i3−300i3−i30000i−i3−3000000000
χ43222-12-2-2-12-1-12-1−2i2i11-2-2-2-222110−i3i3-1011i−2i−i2i−330012i−2i00-1-1000−i3i30i−i−3300i3−i30000−ii3−3000000000
χ44222-12-2-2-12-1-12-1−2i2i11-2-2-2-222110i3−i3-1011i−2i−i2i3−30012i−2i00-1-1000i3−i30i−i3−300−i3i30000−ii−33000000000
χ4522-2222-2222-2-22002-22-22-22-222000-202-200000000-2002-22-22200000000000000000000-2002-20000
χ4622-2222-2222-2-22002-22-22-22-222000-202-200000000-200-222-2-2-200000000000000000000200-220000
χ4722-2222-2222-2-22002-22-2-22-22-2-2000-202-2000000002002-2-222200000000000000000000-200-220000
χ4822-2222-2222-2-22002-22-2-22-22-2-2000-202-200000000200-22-22-2-2000000000000000000002002-20000
χ4922-222-22222-2-2200-22-222-2-2222000-20-220000002-2-20000-2200000000000000200-200000-22000000
χ5022-222-22222-2-2200-22-222-2-2222000-20-22000000-22-20000-2200000000000000-2002000002-2000000
χ5122-222-22222-2-2200-22-22-222-2-2-2000-20-220000002-2200002-200000000000000200-2000002-2000000
χ5222-222-22222-2-2200-22-22-222-2-2-2000-20-22000000-22200002-200000000000000-200200000-22000000
χ534444-2-4-44-2-24-2-24i−4i-4-422000000000-20224i−2i−4i2i00000000000000000−2i2i00000000000000000000000
χ544444-2-4-44-2-24-2-2−4i4i-4-422000000000-2022−4i2i4i−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
χ6344-44-24-44-2-2-42-2004-4-2200000000020-22000000000004-400-2-200000000000000000000200000000
χ6444-44-24-44-2-2-42-2004-4-2200000000020-2200000000000-44002200000000000000000000-200000000
χ6544-44-2-444-2-2-42-200-442-2000000000202-20000004-4000000000000000000000-20020000000000000
χ6644-44-2-444-2-2-42-200-442-2000000000202-2000000-44000000000000000000000200-20000000000000
χ6744-4-244-4-24-22-4-200-224-44-44-4-2-200020-220000000020000-220000000000000000000000000000000
χ6844-4-244-4-24-22-4-200-224-4-44-442200020-2200000000-200002-20000000000000000000000000000000
χ6944-4-24-44-24-22-4-2002-2-444-4-44-2-2000202-200000000200002-20000000000000000000000000000000
χ7044-4-24-44-24-22-4-2002-2-44-444-422000202-200000000-20000-220000000000000000000000000000000
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
χ748-808-400-84-400400000000000000000000000000000000002i6−2i600000000000000000000000000000
χ758-808-400-84-40040000000000000000000000000000000000−2i62i600000000000000000000000000000
χ768-80-48004-8-40040000000000−4i34i300000000000000000000000000000000000000000000000000000
χ778-80-48004-8-400400000000004i3−4i300000000000000000000000000000000000000000000000000000
χ7816-160-8-80088400-400000000000000000000000000000000000000000000000000000000000000000

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