Finite Group Databasebeta

← Group #13180633

Character table — Group #13180633

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1122233468888991616161618181818181818242424242727363636363636363636545454545472727272108108108108
order122364464366622366624444661212121244444461212121244444121212124444
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1111111111-11-11-1-1-1-11-1-1-1-11-11-11-11-1
χ411111111111111111111-1-1-1-111111111-11-111-1-1-1-11-1-1-1-1-11-11-11-11
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
χ711111-1-11-111111111111-1-1-1-111-1-1-1-1-1-11-11-11-1-1-1-1-111111-11-1-11-11
χ811111-1-11-111111111111-1-1-1-111-1-1-1-1-1-1-11-111-1-1-1-1-11111-11-111-11-1
χ911-11111-1-11-1-111111-1-1-111-1-11111-1-11111-1-1-111-1-1-111-1-1-1-111-1-111
χ1011-11111-1-11-1-111111-1-1-111-1-11111-1-111-1-111-111-1-1-111-1-111-1-111-1-1
χ1111-11111-1-11-1-111111-1-1-1-1-1111111-1-1111-1-11-1-1-111-1-1-111-111-1-111-1
χ1211-11111-1-11-1-111111-1-1-1-1-1111111-1-111-111-1-1-1-111-1-1-1111-1-111-1-11
χ1311-111-1-1-111-1-111111-1-1-111-1-111-1-111-1-111-1-1-111-1-11-1-111-1-11111-1-1
χ1411-111-1-1-111-1-111111-1-1-111-1-111-1-111-1-1-1-111-111-1-11-1-11111-1-1-1-111
χ1511-111-1-1-111-1-111111-1-1-1-1-11111-1-111-1-11-1-11-1-1-111111-1-1-111-11-1-11
χ1611-111-1-1-111-1-111111-1-1-1-1-11111-1-111-1-1-111-1-1-1-111111-1-11-1-11-111-1
χ172222222222222-2-22222-20000-2-22222-2-20000-20000-2000000000000
χ1822222-2-22-22222-2-22222-20000-2-2-2-2-2-2220000-200002000000000000
χ19222-1-100-10222222-1-1-1-122222-1-10000002222-1-1-1-1-100000-1-1-1-10000
χ20222-1-100-10222222-1-1-1-122222-1-1000000-2-2-2-2-1-1-1-1-10000011110000
χ21222-1-100-10222222-1-1-1-12-2-2-2-2-1-10000002-22-2-1111100000-11-110000
χ22222-1-100-10222222-1-1-1-12-2-2-2-2-1-1000000-22-22-11111000001-11-10000
χ2322-22222-2-22-2-22-2-222-2-220000-2-222-2-2-2-20000200002000000000000
χ2422-222-2-2-222-2-22-2-222-2-220000-2-2-2-22222000020000-2000000000000
χ2522-2-1-100102-2-2222-1-111-222-2-2-1-100000022-2-21-1-1110000011-1-10000
χ2622-2-1-100102-2-2222-1-111-222-2-2-1-1000000-2-2221-1-11100000-1-1110000
χ2722-2-1-100102-2-2222-1-111-2-2-222-1-10000002-2-22111-1-1000001-1-110000
χ2822-2-1-100102-2-2222-1-111-2-2-222-1-1000000-222-2111-1-100000-111-10000
χ292-202-22i−2i00200-22-22-20002-200-222i−2i002i−2i000002-20002i−2i0000000000
χ302-202-22i−2i00200-22-22-2000-2200-222i−2i002i−2i00000-22000−2i2i0000000000
χ312-202-22i−2i00200-2-222-2000002i−2i2-22i−2i00−2i2i00000002i−2i0002-200000000
χ322-202-22i−2i00200-2-222-200000−2i2i2-22i−2i00−2i2i0000000−2i2i000-2200000000
χ332-202-2−2i2i00200-22-22-20002-200-22−2i2i00−2i2i000002-2000−2i2i0000000000
χ342-202-2−2i2i00200-22-22-2000-2200-22−2i2i00−2i2i00000-220002i−2i0000000000
χ352-202-2−2i2i00200-2-222-2000002i−2i2-2−2i2i002i−2i00000002i−2i000-2200000000
χ362-202-2−2i2i00200-2-222-200000−2i2i2-2−2i2i002i−2i0000000−2i2i0002-200000000
χ37444-2-200-204444-4-4-2-2-2-2-40000220000000000200000000000000000
χ3844-4-2-200204-4-44-4-4-2-22240000220000000000-200000000000000000
χ394-40-220000400-44-4-220004-4002-200000000000-22000000000000000
χ404-40-220000400-44-4-22000-44002-2000000000002-2000000000000000
χ414-40-220000400-4-44-22000004i−4i-220000000000000−2i2i0000000000000
χ424-40-220000400-4-44-2200000−4i4i-2200000000000002i−2i0000000000000
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
χ4588-88888-8-8-111-100-1-1110000000-1-111000000000000000000000000
χ4688-888-8-8-88-111-100-1-111000000011-1-1000000000000000000000000
χ478-808-88i−8i00-13-3100-113-30000000−ii3i−3i000000000000000000000000
χ488-808-88i−8i00-1-33100-11-330000000−ii−3i3i000000000000000000000000
χ498-808-8−8i8i00-13-3100-113-30000000i−i−3i3i000000000000000000000000
χ508-808-8−8i8i00-1-33100-11-330000000i−i3i−3i000000000000000000000000
χ51161616-8-800-80-2-2-2-200111100000000000000000000000000000000000
χ521616-16-8-80080-222-20011-1-100000000000000000000000000000000000
χ5316-160-880000-26-62001-1-3300000000000000000000000000000000000
χ5416-160-880000-2-662001-13-300000000000000000000000000000000000

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