Finite Group Databasebeta

← Group #13180853

Character table — Group #13180853

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122224468899121216161616161616161818181824363636363636547272727211222244688991212161616161616161618181818243636363636365472727272
order12336636436441212333366668888122424242424261212122266666646644121266666666888812242424242426121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-11111111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-111
χ311111111111-1-1111111111111-1-111-111-1-1-11-1-1-111111111111-1-1111111111111-1-111-111-1-1-11-1-1-1
χ411111111111-1-11111111111-1-1111-11-1-111-1-11-1-111111111111-1-11111111111-1-1111-11-1-111-1-11-1-1
χ5222222222-1-12222-1-1-1-1-1-1-1-100002000000200-1-1222222222-1-12222-1-1-1-1-1-1-1-100002000000200-1-1
χ6222222222-1-1-2-222-1-1-1-1-1-1-1-100002000000-20011222222222-1-1-2-222-1-1-1-1-1-1-1-100002000000-20011
χ7222-1-12-1-122200-122-1-1-12-1-1-12200-120-1-1000-1000222-1-12-1-122200-122-1-1-12-1-1-12200-120-1-1000-1000
χ8222-1-12-1-122200-122-1-1-12-1-1-1-2-200-1-20110001000222-1-12-1-122200-122-1-1-12-1-1-1-2-200-1-20110001000
χ922-122-1-1-1222002-1-12-1-1-12-1-10022-10200-1-100-10022-122-1-1-1222002-1-12-1-1-12-1-10022-10200-1-100-100
χ1022-122-1-1-1222002-1-12-1-1-12-1-100-2-2-10-200110010022-122-1-1-1222002-1-12-1-1-12-1-100-2-2-10-2001100100
χ112-222-2-22-20-112i−2i00-1-1-1-11111−i2i22−2000−i2i22−2000i−i2-222-2-22-20-112i−2i00-1-1-1-11111−i2i22−2000−i2i22−2000i−i
χ122-222-2-22-20-112i−2i00-1-1-1-11111i2−i2−22000i2−i2−22000i−i2-222-2-22-20-112i−2i00-1-1-1-11111i2−i2−22000i2−i2−22000i−i
χ132-222-2-22-20-11−2i2i00-1-1-1-11111−i2i2−22000−i2i2−22000−ii2-222-2-22-20-11−2i2i00-1-1-1-11111−i2i2−22000−i2i2−22000−ii
χ142-222-2-22-20-11−2i2i00-1-1-1-11111i2−i22−2000i2−i22−2000−ii2-222-2-22-20-11−2i2i00-1-1-1-11111i2−i22−2000i2−i22−2000−ii
χ1533333333-10033-1-1000000001111-1-1-11111-1-1-10033333333-10033-1-1000000001111-1-1-11111-1-1-100
χ1633333333-10033-1-100000000-1-1-1-1-111-1-1-1-1-1110033333333-10033-1-100000000-1-1-1-1-111-1-1-1-1-11100
χ1733333333-100-3-3-1-10000000011-1-1-1-1111-1-11-110033333333-100-3-3-1-10000000011-1-1-1-1111-1-11-1100
χ1833333333-100-3-3-1-100000000-1-111-11-1-1-11111-10033333333-100-3-3-1-100000000-1-111-11-1-1-11111-100
χ19444-2-24-2-24-2-200-24-2111-21110000-200000000000444-2-24-2-24-2-200-24-2111-21110000-200000000000
χ2044-244-2-2-24-2-2004-21-2111-2110000-20000000000044-244-2-2-24-2-2004-21-2111-2110000-200000000000
χ2144-2-2-2-21144400-2-2-2-211-2-211000010000000000044-2-2-2-21144400-2-2-2-211-2-2110000100000000000
χ2244-2-2-2-2114-2-200-2-211−1−3i32−1+3i3211−1−3i32−1+3i32000010000000000044-2-2-2-2114-2-200-2-211−1−3i32−1+3i3211−1−3i32−1+3i320000100000000000
χ2344-2-2-2-2114-2-200-2-211−1+3i32−1−3i3211−1+3i32−1−3i32000010000000000044-2-2-2-2114-2-200-2-211−1+3i32−1−3i3211−1+3i32−1−3i320000100000000000
χ244-444-4-44-401-14i−4i001111-1-1-1-100000000000000−ii4-444-4-44-401-14i−4i001111-1-1-1-100000000000000−ii
χ254-444-4-44-401-1−4i4i001111-1-1-1-100000000000000i−i4-444-4-44-401-1−4i4i001111-1-1-1-100000000000000i−i
χ264-44-22-4-220-220000-21112-1-1-1−2i22i200000i2−i200000004-44-22-4-220-220000-21112-1-1-1−2i22i200000i2−i20000000
χ274-44-22-4-220-220000-21112-1-1-12i2−2i200000−i2i200000004-44-22-4-220-220000-21112-1-1-12i2−2i200000−i2i20000000
χ284-4-24-42-220-2200001-211-12-1-10022−2200000−22000004-4-24-42-220-2200001-211-12-1-10022−2200000−2200000
χ294-4-24-42-220-2200001-211-12-1-100−2222000002−2000004-4-24-42-220-2200001-211-12-1-100−2222000002−200000
χ30666-3-36-3-3-200001-20000000022001-20-1-10001000666-3-36-3-3-200001-20000000022001-20-1-10001000
χ31666-3-36-3-3-200001-200000000-2-20012011000-1000666-3-36-3-3-200001-200000000-2-20012011000-1000
χ3266-366-3-3-3-20000-2100000000002210-200-1-10010066-366-3-3-3-20000-2100000000002210-200-1-100100
χ3366-366-3-3-3-20000-210000000000-2-2102001100-10066-366-3-3-3-20000-210000000000-2-2102001100-100
χ348-88-44-8-4402-200002-1-1-1-211100000000000000008-88-44-8-4402-200002-1-1-1-21110000000000000000
χ358-8-48-84-4402-20000-12-1-11-21100000000000000008-8-48-84-4402-20000-12-1-11-2110000000000000000
χ368-8-4-4442-202-20000-1-11−3i321+3i3211−1+3i32−1−3i3200000000000000008-8-4-4442-202-20000-1-11−3i321+3i3211−1+3i32−1−3i320000000000000000
χ378-8-4-4442-202-20000-1-11+3i321−3i3211−1−3i32−1+3i3200000000000000008-8-4-4442-202-20000-1-11+3i321−3i3211−1−3i32−1+3i320000000000000000
χ388-8-4-4442-20-44000022-1-1-2-21100000000000000008-8-4-4442-20-44000022-1-1-2-2110000000000000000
χ391212-6-6-6-633-4000022000000000000-1000000000001212-6-6-6-633-4000022000000000000-100000000000
χ40111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-111-1-1
χ4211111111111-1-1111111111111-1-111-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1111-1111
χ4311111111111-1-11111111111-1-1111-11-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-111-1-111-111
χ44222222222-1-12222-1-1-1-1-1-1-1-100002000000200-1-1-2-2-2-2-2-2-2-2-211-2-2-2-2111111110000-2000000-20011
χ45222222222-1-1-2-222-1-1-1-1-1-1-1-100002000000-20011-2-2-2-2-2-2-2-2-21122-2-2111111110000-2000000200-1-1
χ46222-1-12-1-122200-122-1-1-12-1-1-12200-120-1-1000-1000-2-2-211-211-2-2-2001-2-2111-2111-2-2001-20110001000
χ47222-1-12-1-122200-122-1-1-12-1-1-1-2-200-1-20110001000-2-2-211-211-2-2-2001-2-2111-21112200120-1-1000-1000
χ4822-122-1-1-1222002-1-12-1-1-12-1-10022-10200-1-100-100-2-21-2-2111-2-2-200-211-2111-21100-2-210-2001100100
χ4922-122-1-1-1222002-1-12-1-1-12-1-100-2-2-10-2001100100-2-21-2-2111-2-2-200-211-2111-211002210200-1-100-100
χ502-222-2-22-20-112i−2i00-1-1-1-11111−i2i22−2000−i2i22−2000i−i-22-2-222-2201-1−2i2i001111-1-1-1-1i2−i2−22000i2−i2−22000−ii
χ512-222-2-22-20-112i−2i00-1-1-1-11111i2−i2−22000i2−i2−22000i−i-22-2-222-2201-1−2i2i001111-1-1-1-1−i2i22−2000−i2i22−2000−ii
χ522-222-2-22-20-11−2i2i00-1-1-1-11111−i2i2−22000−i2i2−22000−ii-22-2-222-2201-12i−2i001111-1-1-1-1i2−i22−2000i2−i22−2000i−i
χ532-222-2-22-20-11−2i2i00-1-1-1-11111i2−i22−2000i2−i22−2000−ii-22-2-222-2201-12i−2i001111-1-1-1-1−i2i2−22000−i2i2−22000i−i
χ5433333333-10033-1-1000000001111-1-1-11111-1-1-100-3-3-3-3-3-3-3-3100-3-31100000000-1-1-1-1111-1-1-1-111100
χ5533333333-10033-1-100000000-1-1-1-1-111-1-1-1-1-11100-3-3-3-3-3-3-3-3100-3-3110000000011111-1-111111-1-100
χ5633333333-100-3-3-1-10000000011-1-1-1-1111-1-11-1100-3-3-3-3-3-3-3-3100331100000000-1-11111-1-1-111-11-100
χ5733333333-100-3-3-1-100000000-1-111-11-1-1-11111-100-3-3-3-3-3-3-3-310033110000000011-1-11-1111-1-1-1-1100
χ58444-2-24-2-24-2-200-24-2111-21110000-200000000000-4-4-422-422-422002-42-1-1-12-1-1-10000200000000000
χ5944-244-2-2-24-2-2004-21-2111-2110000-200000000000-4-42-4-4222-42200-42-12-1-1-12-1-10000200000000000
χ6044-2-2-2-21144400-2-2-2-211-2-2110000100000000000-4-42222-1-1-4-4-4002222-1-122-1-10000-100000000000
χ6144-2-2-2-2114-2-200-2-211−1−3i32−1+3i3211−1−3i32−1+3i320000100000000000-4-42222-1-1-4220022-1-11+3i321−3i32-1-11+3i321−3i320000-100000000000
χ6244-2-2-2-2114-2-200-2-211−1+3i32−1−3i3211−1+3i32−1−3i320000100000000000-4-42222-1-1-4220022-1-11−3i321+3i32-1-11−3i321+3i320000-100000000000
χ634-444-4-44-401-14i−4i001111-1-1-1-100000000000000−ii-44-4-444-440-11−4i4i00-1-1-1-1111100000000000000i−i
χ644-444-4-44-401-1−4i4i001111-1-1-1-100000000000000i−i-44-4-444-440-114i−4i00-1-1-1-1111100000000000000−ii
χ654-44-22-4-220-220000-21112-1-1-1−2i22i200000i2−i20000000-44-42-242-202-200002-1-1-1-21112i2−2i200000−i2i20000000
χ664-44-22-4-220-220000-21112-1-1-12i2−2i200000−i2i20000000-44-42-242-202-200002-1-1-1-2111−2i22i200000i2−i20000000
χ674-4-24-42-220-2200001-211-12-1-10022−2200000−2200000-442-44-22-202-20000-12-1-11-21100−2222000002−200000
χ684-4-24-42-220-2200001-211-12-1-100−2222000002−200000-442-44-22-202-20000-12-1-11-2110022−2200000−2200000
χ69666-3-36-3-3-200001-20000000022001-20-1-10001000-6-6-633-63320000-1200000000-2-200-12011000-1000
χ70666-3-36-3-3-200001-200000000-2-20012011000-1000-6-6-633-63320000-12000000002200-1-20-1-10001000
χ7166-366-3-3-3-20000-2100000000002210-200-1-100100-6-63-6-6333200002-10000000000-2-2-102001100-100
χ7266-366-3-3-3-20000-210000000000-2-2102001100-100-6-63-6-6333200002-1000000000022-10-200-1-100100
χ738-88-44-8-4402-200002-1-1-1-21110000000000000000-88-84-484-40-220000-21112-1-1-10000000000000000
χ748-8-48-84-4402-20000-12-1-11-2110000000000000000-884-88-44-40-2200001-211-12-1-10000000000000000
χ758-8-4-4442-202-20000-1-11−3i321+3i3211−1+3i32−1−3i320000000000000000-8844-4-4-220-22000011−1+3i32−1−3i32-1-11−3i321+3i320000000000000000
χ768-8-4-4442-202-20000-1-11+3i321−3i3211−1−3i32−1+3i320000000000000000-8844-4-4-220-22000011−1−3i32−1+3i32-1-11+3i321−3i320000000000000000
χ778-8-4-4442-20-44000022-1-1-2-2110000000000000000-8844-4-4-2204-40000-2-21122-1-10000000000000000
χ781212-6-6-6-633-4000022000000000000-100000000000-12-126666-3-340000-2-2000000000000100000000000

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