Finite Group Databasebeta

← Group #13180617

Character table — Group #13180617

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1122233468888991616161618181818181818242424242727363636363636363636545454545472727272108108108108
order1234644122361212223612124444466661212444444121212121224444121212124444
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111111111-1-11-1-1-1-11-1-1-1-111-1-111-1-1
χ411111111111111111111-1-1-1-111111111-1-1111-1-1-1-11-1-1-1-1-1-111-1-111
χ511111-1-11-111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1
χ611111-1-11-111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111
χ711111-1-11-111111111111-1-1-1-111-1-1-1-1-1-111-1-11-1-1-1-1-1111111-1-1-1-111
χ811111-1-11-111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-11111-1-1
χ9111-1111-1-111-1-11111-1-1-111-1-111-1-111111-11-1-111-1-1-111-1-11-11-11-11-1
χ10111-1111-1-111-1-11111-1-1-111-1-111-1-11111-11-11-111-1-1-111-1-1-11-11-11-11
χ11111-1111-1-111-1-11111-1-1-1-1-11111-1-111111-1-11-1-1-111-1-1-1111-1-111-1-11
χ12111-1111-1-111-1-11111-1-1-1-1-11111-1-11111-111-1-1-1-111-1-1-111-111-1-111-1
χ13111-11-1-1-1111-1-11111-1-1-111-1-11111-1-1-1-11-11-1-111-1-11-1-1111-11-1-11-11
χ14111-11-1-1-1111-1-11111-1-1-111-1-11111-1-1-1-1-11-11-111-1-11-1-111-11-111-11-1
χ15111-11-1-1-1111-1-11111-1-1-1-1-1111111-1-1-1-11-1-11-1-1-111111-1-11-1-11-111-1
χ16111-11-1-1-1111-1-11111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-111111-1-1-111-11-1-11
χ172222222222222-2-22222-20000-2-22222-2-20000-20000-2000000000000
χ1822222-2-22-22222-2-22222-20000-2-2-2-2-2-2220000-200002000000000000
χ19222-2222-2-222-2-2-2-222-2-220000-2-2-2-222-2-20000200002000000000000
χ20222-22-2-2-2222-2-2-2-222-2-220000-2-222-2-222000020000-2000000000000
χ2122-12-100-10222222-1-1-1-122222-1-10000002222-1-1-1-1-100000-1-1-1-10000
χ2222-12-100-10222222-1-1-1-122222-1-1000000-2-2-2-2-1-1-1-1-10000011110000
χ2322-12-100-10222222-1-1-1-12-2-2-2-2-1-100000022-2-2-1111100000-1-1110000
χ2422-12-100-10222222-1-1-1-12-2-2-2-2-1-1000000-2-222-111110000011-1-10000
χ2522-1-2-1001022-2-222-1-111-222-2-2-1-10000002-22-21-1-11100000-11-110000
χ2622-1-2-1001022-2-222-1-111-222-2-2-1-1000000-22-221-1-111000001-11-10000
χ2722-1-2-1001022-2-222-1-111-2-2-222-1-10000002-2-22111-1-100000-111-10000
χ2822-1-2-1001022-2-222-1-111-2-2-222-1-1000000-222-2111-1-1000001-1-110000
χ292-220-22i−2i002-2002-22-2000002i−2i2-2002i−2i2i−2i00000002i−2i0002-200000000
χ302-220-22i−2i002-2002-22-200000−2i2i2-2002i−2i2i−2i0000000−2i2i000-2200000000
χ312-220-22i−2i002-200-222-20002i−2i00-22002i−2i−2i2i000002i−2i0002-20000000000
χ322-220-22i−2i002-200-222-2000−2i2i00-22002i−2i−2i2i00000−2i2i000-220000000000
χ332-220-2−2i2i002-2002-22-2000002i−2i2-200−2i2i−2i2i00000002i−2i000-2200000000
χ342-220-2−2i2i002-2002-22-200000−2i2i2-200−2i2i−2i2i0000000−2i2i0002-200000000
χ352-220-2−2i2i002-200-222-20002i−2i00-2200−2i2i2i−2i000002i−2i000-220000000000
χ362-220-2−2i2i002-200-222-2000−2i2i00-2200−2i2i2i−2i00000−2i2i0002-20000000000
χ3744-24-200-204444-4-4-2-2-2-2-40000220000000000200000000000000000
χ3844-2-4-2002044-4-4-4-4-2-22240000220000000000-200000000000000000
χ394-4-20200004-4004-4-22000004i−4i-220000000000000−2i2i0000000000000
χ404-4-20200004-4004-4-2200000−4i4i-2200000000000002i−2i0000000000000
χ414-4-20200004-400-44-220004i−4i002-200000000000−2i2i000000000000000
χ424-4-20200004-400-44-22000−4i4i002-2000000000002i−2i000000000000000
χ43888888888-1-1-1-100-1-1-1-10000000-1-1-1-1000000000000000000000000
χ4488888-8-88-8-1-1-1-100-1-1-1-100000001111000000000000000000000000
χ45888-8888-8-8-1-11100-1-111000000011-1-1000000000000000000000000
χ46888-88-8-8-88-1-11100-1-1110000000-1-111000000000000000000000000
χ478-880-88i−8i00-113i−3i00-113i−3i00000003-3−ii000000000000000000000000
χ488-880-88i−8i00-11−3i3i00-11−3i3i0000000-33−ii000000000000000000000000
χ498-880-8−8i8i00-113i−3i00-113i−3i0000000-33i−i000000000000000000000000
χ508-880-8−8i8i00-11−3i3i00-11−3i3i00000003-3i−i000000000000000000000000
χ511616-816-800-80-2-2-2-200111100000000000000000000000000000000000
χ521616-8-16-80080-2-2220011-1-100000000000000000000000000000000000
χ5316-16-8080000-226i−6i001-1−3i3i00000000000000000000000000000000000
χ5416-16-8080000-22−6i6i001-13i−3i00000000000000000000000000000000000

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