Finite Group Databasebeta

← Group #13180859

Character table — Group #13180859

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122224468899121216161616161616161818181824363636363636547272727211222244688991212161616161616161618181818243636363636365472727272
order12336636436221212333366668888122224242424466662266666646622121266666666888812222424242446666
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
χ7222-12-1-1-1222002-12-1-1-12-1-1-10022-10200-1-100-100222-12-1-1-1222002-12-1-1-12-1-1-10022-10200-1-100-100
χ8222-12-1-1-1222002-12-1-1-12-1-1-100-2-2-10-2001100100222-12-1-1-1222002-12-1-1-12-1-1-100-2-2-10-2001100100
χ922-12-12-1-122200-12-12-1-1-12-1-12200-120-1-1000-100022-12-12-1-122200-12-12-1-1-12-1-12200-120-1-1000-1000
χ1022-12-12-1-122200-12-12-1-1-12-1-1-2-200-1-2011000100022-12-12-1-122200-12-12-1-1-12-1-1-2-200-1-20110001000
χ112-222-2-22-20-112-200-1-1-1-11111−i2i2−i2i2000−i2i2−i2i20001-12-222-2-22-20-112-200-1-1-1-11111−i2i2−i2i2000−i2i2−i2i20001-1
χ122-222-2-22-20-112-200-1-1-1-11111i2−i2i2−i2000i2−i2i2−i20001-12-222-2-22-20-112-200-1-1-1-11111i2−i2i2−i2000i2−i2i2−i20001-1
χ132-222-2-22-20-11-2200-1-1-1-11111−i2i2i2−i2000−i2i2i2−i2000-112-222-2-22-20-11-2200-1-1-1-11111−i2i2i2−i2000−i2i2i2−i2000-11
χ142-222-2-22-20-11-2200-1-1-1-11111i2−i2−i2i2000i2−i2−i2i2000-112-222-2-22-20-11-2200-1-1-1-11111i2−i2−i2i2000i2−i2−i2i2000-11
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
χ19444-24-2-2-24-2-2004-2-2111-21110000-200000000000444-24-2-2-24-2-2004-2-2111-21110000-200000000000
χ2044-24-24-2-24-2-200-241-2111-2110000-20000000000044-24-24-2-24-2-200-241-2111-2110000-200000000000
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
χ244-444-4-44-401-14-4001111-1-1-1-100000000000000-114-444-4-44-401-14-4001111-1-1-1-100000000000000-11
χ254-444-4-44-401-1-44001111-1-1-1-1000000000000001-14-444-4-44-401-1-44001111-1-1-1-1000000000000001-1
χ264-44-2-42-220-220000-21112-1-1-100−2i22i200000i2−i2000004-44-2-42-220-220000-21112-1-1-100−2i22i200000i2−i200000
χ274-44-2-42-220-220000-21112-1-1-1002i2−2i200000−i2i2000004-44-2-42-220-220000-21112-1-1-1002i2−2i200000−i2i200000
χ284-4-242-4-220-2200001-211-12-1-1−2i22i200000i2−i200000004-4-242-4-220-2200001-211-12-1-1−2i22i200000i2−i20000000
χ294-4-242-4-220-2200001-211-12-1-12i2−2i200000−i2i200000004-4-242-4-220-2200001-211-12-1-12i2−2i200000−i2i20000000
χ30666-36-3-3-3-20000-2100000000002210-200-1-100100666-36-3-3-3-20000-2100000000002210-200-1-100100
χ31666-36-3-3-3-20000-210000000000-2-2102001100-100666-36-3-3-3-20000-210000000000-2-2102001100-100
χ3266-36-36-3-3-200001-20000000022001-20-1-1000100066-36-36-3-3-200001-20000000022001-20-1-10001000
χ3366-36-36-3-3-200001-200000000-2-20012011000-100066-36-36-3-3-200001-200000000-2-20012011000-1000
χ348-88-4-84-4402-200002-1-1-1-211100000000000000008-88-4-84-4402-200002-1-1-1-21110000000000000000
χ358-8-484-8-4402-20000-12-1-11-21100000000000000008-8-484-8-4402-20000-12-1-11-2110000000000000000
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
χ46222-12-1-1-1222002-12-1-1-12-1-1-10022-10200-1-100-100-2-2-21-2111-2-2-200-21-2111-211100-2-210-2001100100
χ47222-12-1-1-1222002-12-1-1-12-1-1-100-2-2-10-2001100100-2-2-21-2111-2-2-200-21-2111-2111002210200-1-100-100
χ4822-12-12-1-122200-12-12-1-1-12-1-12200-120-1-1000-1000-2-21-21-211-2-2-2001-21-2111-211-2-2001-20110001000
χ4922-12-12-1-122200-12-12-1-1-12-1-1-2-200-1-20110001000-2-21-21-211-2-2-2001-21-2111-2112200120-1-1000-1000
χ502-222-2-22-20-112-200-1-1-1-11111−i2i2−i2i2000−i2i2−i2i20001-1-22-2-222-2201-1-22001111-1-1-1-1i2−i2i2−i2000i2−i2i2−i2000-11
χ512-222-2-22-20-112-200-1-1-1-11111i2−i2i2−i2000i2−i2i2−i20001-1-22-2-222-2201-1-22001111-1-1-1-1−i2i2−i2i2000−i2i2−i2i2000-11
χ522-222-2-22-20-11-2200-1-1-1-11111−i2i2i2−i2000−i2i2i2−i2000-11-22-2-222-2201-12-2001111-1-1-1-1i2−i2−i2i2000i2−i2−i2i20001-1
χ532-222-2-22-20-11-2200-1-1-1-11111i2−i2−i2i2000i2−i2−i2i2000-11-22-2-222-2201-12-2001111-1-1-1-1−i2i2i2−i2000−i2i2i2−i20001-1
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
χ58444-24-2-2-24-2-2004-2-2111-21110000-200000000000-4-4-42-4222-42200-422-1-1-12-1-1-10000200000000000
χ5944-24-24-2-24-2-200-241-2111-2110000-200000000000-4-42-42-422-422002-4-12-1-1-12-1-10000200000000000
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
χ634-444-4-44-401-14-4001111-1-1-1-100000000000000-11-44-4-444-440-11-4400-1-1-1-11111000000000000001-1
χ644-444-4-44-401-1-44001111-1-1-1-1000000000000001-1-44-4-444-440-114-400-1-1-1-1111100000000000000-11
χ654-44-2-42-220-220000-21112-1-1-100−2i22i200000i2−i200000-44-424-22-202-200002-1-1-1-2111002i2−2i200000−i2i200000
χ664-44-2-42-220-220000-21112-1-1-1002i2−2i200000−i2i200000-44-424-22-202-200002-1-1-1-211100−2i22i200000i2−i200000
χ674-4-242-4-220-2200001-211-12-1-1−2i22i200000i2−i20000000-442-4-242-202-20000-12-1-11-2112i2−2i200000−i2i20000000
χ684-4-242-4-220-2200001-211-12-1-12i2−2i200000−i2i20000000-442-4-242-202-20000-12-1-11-211−2i22i200000i2−i20000000
χ69666-36-3-3-3-20000-2100000000002210-200-1-100100-6-6-63-6333200002-10000000000-2-2-102001100-100
χ70666-36-3-3-3-20000-210000000000-2-2102001100-100-6-6-63-6333200002-1000000000022-10-200-1-100100
χ7166-36-36-3-3-200001-20000000022001-20-1-10001000-6-63-63-63320000-1200000000-2-200-12011000-1000
χ7266-36-36-3-3-200001-200000000-2-20012011000-1000-6-63-63-63320000-12000000002200-1-20-1-10001000
χ738-88-4-84-4402-200002-1-1-1-21110000000000000000-88-848-44-40-220000-21112-1-1-10000000000000000
χ748-8-484-8-4402-20000-12-1-11-2110000000000000000-884-8-484-40-2200001-211-12-1-10000000000000000
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).