Finite Group Databasebeta

← Group #13180857

Character table — Group #13180857

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122224468899121216161616161616161818181824363636363636547272727211222244688991212161616161616161618181818243636363636365472727272
order123366364362212123333666688881244242424244661212226666664662212126666666688881244242424244661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-11-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-11-1-1-1-1-1-1111-1-1
χ311111111111-1-1111111111111-1-111-111-1-1-1-1-11-111111111111-1-1111111111111-1-111-111-1-1-1-1-11-1
χ411111111111-1-11111111111-1-1111-11-1-111-1-1-1-1111111111111-1-11111111111-1-1111-11-1-111-1-1-1-11
χ5222222222-1-12222-1-1-1-1-1-1-1-1000020000002-1-100222222222-1-12222-1-1-1-1-1-1-1-1000020000002-1-100
χ6222222222-1-1-2-222-1-1-1-1-1-1-1-100002000000-21100222222222-1-1-2-222-1-1-1-1-1-1-1-100002000000-21100
χ7222-12-1-1-1222002-12-1-1-12-1-1-10022-10200-1-10000-1222-12-1-1-1222002-12-1-1-12-1-1-10022-10200-1-10000-1
χ8222-12-1-1-1222002-12-1-1-12-1-1-100-2-2-10-2001100001222-12-1-1-1222002-12-1-1-12-1-1-100-2-2-10-2001100001
χ922-12-12-1-122200-12-12-1-1-12-1-12200-120-1-100000-1022-12-12-1-122200-12-12-1-1-12-1-12200-120-1-100000-10
χ1022-12-12-1-122200-12-12-1-1-12-1-1-2-200-1-2011000001022-12-12-1-122200-12-12-1-1-12-1-1-2-200-1-20110000010
χ112-222-2-22-20-112-200-1-1-1-111112−22−20002−22−201-1002-222-2-22-20-112-200-1-1-1-111112−22−20002−22−201-100
χ122-222-2-22-20-112-200-1-1-1-11111−22−22000−22−2201-1002-222-2-22-20-112-200-1-1-1-11111−22−22000−22−2201-100
χ132-222-2-22-20-11-2200-1-1-1-111112−2−220002−2−220-11002-222-2-22-20-11-2200-1-1-1-111112−2−220002−2−220-1100
χ142-222-2-22-20-11-2200-1-1-1-11111−222−2000−222−20-11002-222-2-22-20-11-2200-1-1-1-11111−222−2000−222−20-1100
χ1533333333-10033-1-1000000001111-1-1-11111-100-1-133333333-10033-1-1000000001111-1-1-11111-100-1-1
χ1633333333-10033-1-100000000-1-1-1-1-111-1-1-1-1-1001133333333-10033-1-100000000-1-1-1-1-111-1-1-1-1-10011
χ1733333333-100-3-3-1-10000000011-1-1-1-1111-1-1100-1133333333-100-3-3-1-10000000011-1-1-1-1111-1-1100-11
χ1833333333-100-3-3-1-100000000-1-111-11-1-1-1111001-133333333-100-3-3-1-100000000-1-111-11-1-1-1111001-1
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
χ244-444-4-44-401-14-4001111-1-1-1-1000000000000-11004-444-4-44-401-14-4001111-1-1-1-1000000000000-1100
χ254-444-4-44-401-1-44001111-1-1-1-10000000000001-1004-444-4-44-401-1-44001111-1-1-1-10000000000001-100
χ264-44-2-42-220-220000-21112-1-1-10022−2200000−22000004-44-2-42-220-220000-21112-1-1-10022−2200000−2200000
χ274-44-2-42-220-220000-21112-1-1-100−2222000002−2000004-44-2-42-220-220000-21112-1-1-100−2222000002−200000
χ284-4-242-4-220-2200001-211-12-1-122−2200000−2200000004-4-242-4-220-2200001-211-12-1-122−2200000−220000000
χ294-4-242-4-220-2200001-211-12-1-1−2222000002−200000004-4-242-4-220-2200001-211-12-1-1−2222000002−20000000
χ30666-36-3-3-3-20000-2100000000002210-200-1-100001666-36-3-3-3-20000-2100000000002210-200-1-100001
χ31666-36-3-3-3-20000-210000000000-2-210200110000-1666-36-3-3-3-20000-210000000000-2-210200110000-1
χ3266-36-36-3-3-200001-20000000022001-20-1-1000001066-36-36-3-3-200001-20000000022001-20-1-10000010
χ3366-36-36-3-3-200001-200000000-2-2001201100000-1066-36-36-3-3-200001-200000000-2-2001201100000-10
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
χ4111111111111111111111111-1-1-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-111
χ4211111111111-1-1111111111111-1-111-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111111-11
χ4311111111111-1-11111111111-1-1111-11-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-111-1-11111-1
χ44222222222-1-12222-1-1-1-1-1-1-1-1000020000002-1-100-2-2-2-2-2-2-2-2-211-2-2-2-2111111110000-2000000-21100
χ45222222222-1-1-2-222-1-1-1-1-1-1-1-100002000000-21100-2-2-2-2-2-2-2-2-21122-2-2111111110000-20000002-1-100
χ46222-12-1-1-1222002-12-1-1-12-1-1-10022-10200-1-10000-1-2-2-21-2111-2-2-200-21-2111-211100-2-210-2001100001
χ47222-12-1-1-1222002-12-1-1-12-1-1-100-2-2-10-2001100001-2-2-21-2111-2-2-200-21-2111-2111002210200-1-10000-1
χ4822-12-12-1-122200-12-12-1-1-12-1-12200-120-1-100000-10-2-21-21-211-2-2-2001-21-2111-211-2-2001-20110000010
χ4922-12-12-1-122200-12-12-1-1-12-1-1-2-200-1-20110000010-2-21-21-211-2-2-2001-21-2111-2112200120-1-100000-10
χ502-222-2-22-20-112-200-1-1-1-111112−22−20002−22−201-100-22-2-222-2201-1-22001111-1-1-1-1−22−22000−22−220-1100
χ512-222-2-22-20-112-200-1-1-1-11111−22−22000−22−2201-100-22-2-222-2201-1-22001111-1-1-1-12−22−20002−22−20-1100
χ522-222-2-22-20-11-2200-1-1-1-111112−2−220002−2−220-1100-22-2-222-2201-12-2001111-1-1-1-1−222−2000−222−201-100
χ532-222-2-22-20-11-2200-1-1-1-11111−222−2000−222−20-1100-22-2-222-2201-12-2001111-1-1-1-12−2−220002−2−2201-100
χ5433333333-10033-1-1000000001111-1-1-11111-100-1-1-3-3-3-3-3-3-3-3100-3-31100000000-1-1-1-1111-1-1-1-110011
χ5533333333-10033-1-100000000-1-1-1-1-111-1-1-1-1-10011-3-3-3-3-3-3-3-3100-3-3110000000011111-1-11111100-1-1
χ5633333333-100-3-3-1-10000000011-1-1-1-1111-1-1100-11-3-3-3-3-3-3-3-3100331100000000-1-11111-1-1-111-1001-1
χ5733333333-100-3-3-1-100000000-1-111-11-1-1-1111001-1-3-3-3-3-3-3-3-310033110000000011-1-11-1111-1-1-100-11
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
χ634-444-4-44-401-14-4001111-1-1-1-1000000000000-1100-44-4-444-440-11-4400-1-1-1-111110000000000001-100
χ644-444-4-44-401-1-44001111-1-1-1-10000000000001-100-44-4-444-440-114-400-1-1-1-11111000000000000-1100
χ654-44-2-42-220-220000-21112-1-1-10022−2200000−2200000-44-424-22-202-200002-1-1-1-211100−2222000002−200000
χ664-44-2-42-220-220000-21112-1-1-100−2222000002−200000-44-424-22-202-200002-1-1-1-21110022−2200000−2200000
χ674-4-242-4-220-2200001-211-12-1-122−2200000−220000000-442-4-242-202-20000-12-1-11-211−2222000002−20000000
χ684-4-242-4-220-2200001-211-12-1-1−2222000002−20000000-442-4-242-202-20000-12-1-11-21122−2200000−220000000
χ69666-36-3-3-3-20000-2100000000002210-200-1-100001-6-6-63-6333200002-10000000000-2-2-10200110000-1
χ70666-36-3-3-3-20000-210000000000-2-210200110000-1-6-6-63-6333200002-1000000000022-10-200-1-100001
χ7166-36-36-3-3-200001-20000000022001-20-1-10000010-6-63-63-63320000-1200000000-2-200-1201100000-10
χ7266-36-36-3-3-200001-200000000-2-2001201100000-10-6-63-63-63320000-12000000002200-1-20-1-10000010
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).