Finite Group Databasebeta

← Group #11865293

Character table — Group #11865293

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1124444444448888121212121212181824242424242424242436727211244444444488881212121212121818242424242424242424367272
order1223346666121261212122244442246612121212121224422266466661212612121222444422466121212121212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-111-111-1-111-1-11-1-111111111111111111111-1-111-111-1-111-1-11-1-1
χ31111111111111111-1-1-1-111111-1-111-1-1111-1-11111111111111111-1-1-1-111111-1-111-1-1111-1-1
χ41111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111
χ511111-11111-1-11-1-1-11-11-11111-11-1-1-11-111-11-111111-11111-1-11-1-1-11-11-11111-11-1-1-11-111-11-1
χ611111-11111-1-11-1-1-11-11-1-1-11111-1111-1-1-1-1-1111111-11111-1-11-1-1-11-11-1-1-11111-1111-1-1-1-1-11
χ711111-11111-1-11-1-1-1-11-111111-1-11-1-1-1111-1-1111111-11111-1-11-1-1-1-11-111111-1-11-1-1-1111-1-11
χ811111-11111-1-11-1-1-1-11-11-1-1111-1111-11-1-1-11-111111-11111-1-11-1-1-1-11-11-1-1111-1111-11-1-1-11-1
χ92222222222222222000000-2-2000000000-2002222222222222222000000-2-2000000000-200
χ1022222-22222-2-22-2-2-2000000-2-200000000020022222-22222-2-22-2-2-2000000-2-2000000000200
χ1122-2220-2-22200-2000020-2002-2002000-20000022-2220-2-22200-2000020-2002-2002000-200000
χ1222-2220-2-22200-20000-202002-200-200020000022-2220-2-22200-20000-202002-200-2000200000
χ1322-2220-2-22200-200020-2000-2202000-200000022-2220-2-22200-200020-2000-2202000-2000000
χ1422-2220-2-22200-2000-202000-220-2000200000022-2220-2-22200-2000-202000-220-20002000000
χ154441-24111-2-2-2-211-200002200200-1-100-1-10004441-24111-2-2-2-211-200002200200-1-100-1-1000
χ164441-24111-2-2-2-211-20000-2-200-2001100110004441-24111-2-2-2-211-20000-2-200-200110011000
χ174441-2-4111-222-2-1-1200002200-2001100-1-10004441-2-4111-222-2-1-1200002200-2001100-1-1000
χ184441-2-4111-222-2-1-120000-2-200200-1-100110004441-2-4111-222-2-1-120000-2-200200-1-10011000
χ19444-214-2-2-21111-2-21222200000-1-100-1-100000444-214-2-2-21111-2-21222200000-1-100-1-100000
χ20444-214-2-2-21111-2-21-2-2-2-20000011001100000444-214-2-2-21111-2-21-2-2-2-20000011001100000
χ21444-21-4-2-2-21-1-1122-12-22-200000-1100-1100000444-21-4-2-2-21-1-1122-12-22-200000-1100-1100000
χ22444-21-4-2-2-21-1-1122-1-22-22000001-1001-100000444-21-4-2-2-21-1-1122-1-22-22000001-1001-100000
χ2344-4-21022-2133-100-322-2-200000-1-100110000044-4-21022-2133-100-322-2-200000-1-1001100000
χ2444-4-21022-2133-100-3-2-222000001100-1-10000044-4-21022-2133-100-3-2-222000001100-1-100000
χ2544-4-21022-21-3-3-10032-2-2200000-11001-10000044-4-21022-21-3-3-10032-2-2200000-11001-100000
χ2644-4-21022-21-3-3-1003-222-2000001-100-110000044-4-21022-21-3-3-1003-222-2000001-100-1100000
χ274-401-203-3-1223−2303−3000002i−2i00000−i3i300i−i0004-401-203-3-1223−2303−3000002i−2i00000−i3i300i−i000
χ284-401-203-3-1223−2303−300000−2i2i00000i3−i300−ii0004-401-203-3-1223−2303−300000−2i2i00000i3−i300−ii000
χ294-401-203-3-12−23230−33000002i−2i00000i3−i300i−i0004-401-203-3-12−23230−33000002i−2i00000i3−i300i−i000
χ304-401-203-3-12−23230−3300000−2i2i00000−i3i300−ii0004-401-203-3-12−23230−3300000−2i2i00000−i3i300−ii000
χ314-4044000-4-400000000002i−2i000000000−2i2i0004-4044000-4-400000000002i−2i000000000−2i2i000
χ324-4044000-4-40000000000−2i2i0000000002i−2i0004-4044000-4-40000000000−2i2i0000000002i−2i000
χ3388-82-40-2-22-40040000000000000000000000088-82-40-2-22-400400000000000000000000000
χ348-802-40-66-24000000000000000000000000008-802-40-66-2400000000000000000000000000
χ358-80-420004-223−230−23230000000000000000000008-80-420004-223−230−2323000000000000000000000
χ368-80-420004-2−2323023−230000000000000000000008-80-420004-2−2323023−23000000000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3811111111111111111111-1-111-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-111-111
χ391111111111111111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-111
χ401111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111-1-1-1
χ4111111-11111-1-11-1-1-11-11-11111-11-1-1-11-111-11-1-1-1-1-1-11-1-1-1-111-1111-11-11-1-1-1-11-1111-11-1-11-11
χ4211111-11111-1-11-1-1-11-11-1-1-11111-1111-1-1-1-1-11-1-1-1-1-11-1-1-1-111-1111-11-1111-1-1-1-11-1-1-111111-1
χ4311111-11111-1-11-1-1-1-11-111111-1-11-1-1-1111-1-11-1-1-1-1-11-1-1-1-111-11111-11-1-1-1-1-111-1111-1-1-111-1
χ4411111-11111-1-11-1-1-1-11-11-1-1111-1111-11-1-1-11-1-1-1-1-1-11-1-1-1-111-11111-11-111-1-1-11-1-1-11-1111-11
χ452222222222222222000000-2-2000000000-200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000022000000000200
χ4622222-22222-2-22-2-2-2000000-2-2000000000200-2-2-2-2-22-2-2-2-222-222200000022000000000-200
χ4722-2220-2-22200-2000020-2002-2002000-200000-2-22-2-2022-2-20020000-20200-2200-2000200000
χ4822-2220-2-22200-20000-202002-200-2000200000-2-22-2-2022-2-2002000020-200-22002000-200000
χ4922-2220-2-22200-200020-2000-2202000-2000000-2-22-2-2022-2-2002000-2020002-20-20002000000
χ5022-2220-2-22200-2000-202000-220-20002000000-2-22-2-2022-2-200200020-20002-202000-2000000
χ514441-24111-2-2-2-211-200002200200-1-100-1-1000-4-4-4-12-4-1-1-12222-1-120000-2-200-200110011000
χ524441-24111-2-2-2-211-20000-2-200-200110011000-4-4-4-12-4-1-1-12222-1-1200002200200-1-100-1-1000
χ534441-2-4111-222-2-1-1200002200-2001100-1-1000-4-4-4-124-1-1-12-2-2211-20000-2-200200-1-10011000
χ544441-2-4111-222-2-1-120000-2-200200-1-10011000-4-4-4-124-1-1-12-2-2211-200002200-2001100-1-1000
χ55444-214-2-2-21111-2-21222200000-1-100-1-100000-4-4-42-1-4222-1-1-1-122-1-2-2-2-20000011001100000
χ56444-214-2-2-21111-2-21-2-2-2-20000011001100000-4-4-42-1-4222-1-1-1-122-1222200000-1-100-1-100000
χ57444-21-4-2-2-21-1-1122-12-22-200000-1100-1100000-4-4-42-14222-111-1-2-21-22-22000001-1001-100000
χ58444-21-4-2-2-21-1-1122-1-22-22000001-1001-100000-4-4-42-14222-111-1-2-212-22-200000-1100-1100000
χ5944-4-21022-2133-100-322-2-200000-1-1001100000-4-442-10-2-22-1-3-31003-2-222000001100-1-100000
χ6044-4-21022-2133-100-3-2-222000001100-1-100000-4-442-10-2-22-1-3-3100322-2-200000-1-1001100000
χ6144-4-21022-21-3-3-10032-2-2200000-11001-100000-4-442-10-2-22-133100-3-222-2000001-100-1100000
χ6244-4-21022-21-3-3-1003-222-2000001-100-1100000-4-442-10-2-22-133100-32-2-2200000-11001-100000
χ634-401-203-3-1223−2303−3000002i−2i00000−i3i300i−i000-440-120-331-2−23230−3300000−2i2i00000i3−i300−ii000
χ644-401-203-3-1223−2303−300000−2i2i00000i3−i300−ii000-440-120-331-2−23230−33000002i−2i00000−i3i300i−i000
χ654-401-203-3-12−23230−33000002i−2i00000i3−i300i−i000-440-120-331-223−2303−300000−2i2i00000−i3i300−ii000
χ664-401-203-3-12−23230−3300000−2i2i00000−i3i300−ii000-440-120-331-223−2303−3000002i−2i00000i3−i300i−i000
χ674-4044000-4-400000000002i−2i000000000−2i2i000-440-4-4000440000000000−2i2i0000000002i−2i000
χ684-4044000-4-40000000000−2i2i0000000002i−2i000-440-4-40004400000000002i−2i000000000−2i2i000
χ6988-82-40-2-22-400400000000000000000000000-8-88-24022-2400-400000000000000000000000
χ708-802-40-66-2400000000000000000000000000-880-2406-62-400000000000000000000000000
χ718-80-420004-223−230−2323000000000000000000000-8804-2000-42−2323023−23000000000000000000000
χ728-80-420004-2−2323023−23000000000000000000000-8804-2000-4223−230−2323000000000000000000000

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