Finite Group Databasebeta

← Group #11868138

Character table — Group #11868138

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222224444444444666666888888888888812121212121212121212121616161616161616242424242424242424242424243636363648487272
order1223344663666881212121222441212468121212122424242424242466888812242412121224242424242266688122424242424248862428
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111-1-11-1-1111111111-111-11-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-11-1-1-1111111-1-111111111111-1-1-1-111-1-1-1-1-1-11-1-1111-1-111111-1-1-1-1
χ41111111111111111111111111-11-1-1-1111111-1-1-1-11111-1-11-1-1-1-1-1-111-1-1-11-1-1-1-11-111-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-111-11111111111-11-1-11-111-1-1-1-11-1-1-1-111-1-1
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
χ71111111111111111111-1-1-1-1-1-1-11-1-1-1111111-1-111-1-1-1-111-111-1-1-1-111-1-11-11111-11-1-1111-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1-111-1111111-1-1
χ91111111111111-1-1111111111111-11111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-11-1111-111-1-1-1-1-111-1-1-11-11
χ101111111111111-1-1111111111111-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-11-1
χ111111111111111-1-11111111111-111-1-111-1-1-1-1111111-1-1-1-11-1-1-1-1-11-1-111-11-1-111-11-1-111-111-1-11-11-1
χ121111111111111-1-11111111111-111-1-111-1-1-1-111-1-111-1-111111-1-1-11-1-111-1-1-1-1-111-1-1-1111-1-111-11-11
χ131111111111111-1-11111-1-1-1-1-1-111-11111-1-1-1-1-1-111-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-111111111-1-1-111-111-1
χ141111111111111-1-11111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-11-1-1-11-1-11111111-1-11-1-11
χ151111111111111-1-11111-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-11111111-1-1111-1-1-1-1-1111-1-11
χ161111111111111-1-11111-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-111-1-1-11-1-1111-111-1-11-111-1-1111-1-1-111-1
χ1722222-2-22222222i−2i-2-2-2-222-2-2-2-202000-2-22i2i−2i−2i0000222i−2i00-20000002i−2i00000000002i−2i00000000000
χ1822222-2-22222222i−2i-2-2-2-2-2-2222202000-2-22i2i−2i−2i0000-2-2−2i2i0020000002i−2i0000000000−2i2i00000000000
χ1922222-2-2222222−2i2i-2-2-2-222-2-2-2-202000-2-2−2i−2i2i2i000022−2i2i00-2000000−2i2i0000000000−2i2i00000000000
χ2022222-2-2222222−2i2i-2-2-2-2-2-2222202000-2-2−2i−2i2i2i0000-2-22i−2i002000000−2i2i00000000002i−2i00000000000
χ212222-1222-1-12-1-12222-1-10000002-1222-1-12-12-122220000220-1-1-1-1-1-1-1-1-1-10200-102-10000-10000-1-100
χ222222-1222-1-12-1-12222-1-10000002-1222-1-12-12-122-2-20000-2-2011-1-1-1-1-1-1-1-10-20010-210000100001100
χ232222-1222-1-12-1-12222-1-1000000-2-1-2-2-2-1-12-12-1-2-2220000220-1-11111-1-1110-200-10-2-10000-100001100
χ242222-1222-1-12-1-12222-1-1000000-2-1-2-2-2-1-12-12-1-2-2-2-20000-2-20111111-1-11102001021000010000-1-100
χ252222-1222-1-12-1-1-2-222-1-10000002-1-222-1-1-21-21-2-2220000-2-2011-1-1-1111110-200-102-10000100001-100
χ262222-1222-1-12-1-1-2-222-1-10000002-1-222-1-1-21-21-2-2-2-20000220-1-1-1-1-111111020010-210000-10000-1100
χ272222-1222-1-12-1-1-2-222-1-1000000-2-12-2-2-1-1-21-2122220000-2-2011111-111-1-10200-10-2-1000010000-1100
χ282222-1222-1-12-1-1-2-222-1-1000000-2-12-2-2-1-1-21-2122-2-20000220-1-1111-111-1-10-20010210000-100001-100
χ29222-1222-12-1-12-122-1-1222222-1-12-12-1-1-1-1-12-12-1-100-1-12200-1002-1-12-1-1-1-120-1-10200-1-1-1-1000000000
χ30222-1222-12-1-12-122-1-1222222-1-1-2-1-211-1-1-12-121100-1-12200-100-211-2-1-111-20110-200-1-111000000000
χ31222-1222-12-1-12-122-1-122-2-2-2-2112-12-1-1-1-1-12-12-1-10011-2-2001002-1-12-1-1-1-1-20110-2001111000000000
χ32222-1222-12-1-12-122-1-122-2-2-2-211-2-1-211-1-1-12-12110011-2-200100-211-2-1-11120-1-1020011-1-1000000000
χ33222-1222-12-1-12-1-2-2-1-1222222-1-12-1-2-1-1-1-11-21-21100-1-1-2-200-1002-1-1-2111120-1-10-2001111000000000
χ34222-1222-12-1-12-1-2-2-1-1222222-1-1-2-1211-1-11-21-2-1-100-1-1-2-200-100-211211-1-1-2011020011-1-1000000000
χ35222-1222-12-1-12-1-2-2-1-122-2-2-2-2112-1-2-1-1-1-11-21-211001122001002-1-1-21111-20110200-1-1-1-1000000000
χ36222-1222-12-1-12-1-2-2-1-122-2-2-2-211-2-1211-1-11-21-2-1-100112200100-211211-1-120-1-10-200-1-111000000000
χ37222-12-2-2-12-1-12-12i−2i11-2-222-2-2110-10−i3i311−i2ii−2i3−300-1-12i−2i001000−i3i30−ii3−300−i3i30000−ii3−3000000000
χ38222-12-2-2-12-1-12-12i−2i11-2-222-2-2110-10i3−i311−i2ii−2i−3300-1-12i−2i001000i3−i30−ii−3300i3−i30000−ii−33000000000
χ39222-12-2-2-12-1-12-12i−2i11-2-2-2-222-1-10-10−i3i311−i2ii−2i3−30011−2i2i00-1000−i3i30−ii3−300i3−i30000i−i−33000000000
χ40222-12-2-2-12-1-12-12i−2i11-2-2-2-222-1-10-10i3−i311−i2ii−2i−330011−2i2i00-1000i3−i30−ii−3300−i3i30000i−i3−3000000000
χ41222-12-2-2-12-1-12-1−2i2i11-2-222-2-2110-10−i3i311i−2i−i2i−3300-1-1−2i2i001000−i3i30i−i−3300−i3i30000i−i−33000000000
χ42222-12-2-2-12-1-12-1−2i2i11-2-222-2-2110-10i3−i311i−2i−i2i3−300-1-1−2i2i001000i3−i30i−i3−300i3−i30000i−i3−3000000000
χ43222-12-2-2-12-1-12-1−2i2i11-2-2-2-222-1-10-10−i3i311i−2i−i2i−3300112i−2i00-1000−i3i30i−i−3300i3−i30000−ii3−3000000000
χ44222-12-2-2-12-1-12-1−2i2i11-2-2-2-222-1-10-10i3−i311i−2i−i2i3−300112i−2i00-1000i3−i30i−i3−300−i3i30000−ii−33000000000
χ4522-2222-2222-2-22002-22-22-22-2220-20002-2000000002-2002-2-22200000000000000000000-2002-20000
χ4622-2222-2222-2-22002-22-22-22-2220-20002-2000000002-200-22-2-2-200000000000000000000200-220000
χ4722-2222-2222-2-22002-22-2-22-22-2-20-20002-200000000-22002-222200000000000000000000-200-220000
χ4822-2222-2222-2-22002-22-2-22-22-2-20-20002-200000000-2200-222-2-2000000000000000000002002-20000
χ4922-222-22222-2-2200-22-222-2-22-2-20-2000-220000002-22-20000200000000000000200-200000-22000000
χ5022-222-22222-2-2200-22-222-2-22-2-20-2000-22000000-222-20000200000000000000-2002000002-2000000
χ5122-222-22222-2-2200-22-22-222-2220-2000-220000002-2-220000-200000000000000200-2000002-2000000
χ5222-222-22222-2-2200-22-22-222-2220-2000-22000000-22-220000-200000000000000-200200000-22000000
χ534444-2-4-44-2-24-2-24i−4i-4-4220000000-2000224i−2i−4i2i00000000000000000−2i2i00000000000000000000000
χ544444-2-4-44-2-24-2-2−4i4i-4-4220000000-200022−4i2i4i−2i000000000000000002i−2i00000000000000000000000
χ55444-2-244-2-21-2-2144-2-2-2-2000000414-2-211-2-2-2-2-2-200000000000-211-21111000000000000000000000
χ56444-2-244-2-21-2-2144-2-2-2-2000000-41-42211-2-2-2-222000000000002-1-1211-1-1000000000000000000000
χ57444-2-244-2-21-2-21-4-4-2-2-2-200000041-4-2-21122222200000000000-2112-1-1-1-1000000000000000000000
χ58444-2-244-2-21-2-21-4-4-2-2-2-2000000-41422112222-2-2000000000002-1-1-2-1-111000000000000000000000
χ59444-2-2-4-4-2-21-2-214i−4i2222000000010−2i32i3-1-1−2i−2i2i2i23−23000000000000i3−i30i−i−33000000000000000000000
χ60444-2-2-4-4-2-21-2-214i−4i22220000000102i3−2i3-1-1−2i−2i2i2i−2323000000000000−i3i30i−i3−3000000000000000000000
χ61444-2-2-4-4-2-21-2-21−4i4i2222000000010−2i32i3-1-12i2i−2i−2i−2323000000000000i3−i30−ii3−3000000000000000000000
χ62444-2-2-4-4-2-21-2-21−4i4i22220000000102i3−2i3-1-12i2i−2i−2i23−23000000000000−i3i30−ii−33000000000000000000000
χ6344-44-24-44-2-2-42-2004-4-2200000002000-220000000000004-40-2-200000000000000000000200000000
χ6444-44-24-44-2-2-42-2004-4-2200000002000-22000000000000-4402200000000000000000000-200000000
χ6544-44-2-444-2-2-42-200-442-2000000020002-20000004-4000000000000000000000-20020000000000000
χ6644-44-2-444-2-2-42-200-442-2000000020002-2000000-44000000000000000000000200-20000000000000
χ6744-4-244-4-24-22-4-200-224-44-44-4-2-202000-2200000000-22000020000000000000000000000000000000
χ6844-4-244-4-24-22-4-200-224-4-44-442202000-22000000002-20000-20000000000000000000000000000000
χ6944-4-24-44-24-22-4-2002-2-444-4-4422020002-200000000-220000-20000000000000000000000000000000
χ7044-4-24-44-24-22-4-2002-2-44-444-4-2-2020002-2000000002-2000020000000000000000000000000000000
χ7188-8-4-48-8-4-4244200-44-440000000-20002-20000000000000000000000000000000000000000000000
χ7288-8-4-4-88-4-42442004-44-40000000-2000-220000000000000000000000000000000000000000000000
χ738-808800-8-8800-800000000000000000000000000000000000000000000000000000000000000000
χ748-808-400-84-4004000000000000000000000000000000000026−2600000000000000000000000000000
χ758-808-400-84-40040000000000000000000000000000000000−262600000000000000000000000000000
χ768-80-48004-8-4004000000000043−4300000000000000000000000000000000000000000000000000000
χ778-80-48004-8-40040000000000−434300000000000000000000000000000000000000000000000000000
χ7816-160-8-80088400-400000000000000000000000000000000000000000000000000000000000000000

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