Finite Group Databasebeta

← Group #11724213

Character table — Group #11724213

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size112222334466668899121216161616161616161818181818181818272736363636363636367272
order12336622366666364466333366662244444444661212121212121212
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ31111111111111111-1-1111111111111-1-111-1-1-1-111-1-111-1-1-1-1
χ41111111111111111-1-11111111111-1-111-1-111-1-1-1-111-1-111-1-1
χ51-111-1-11-11-11-1-111-1i−i1-11111-1-1-1-11-1i−i1-1i−ii−i1-1i−i1-1i−ii−i
χ61-111-1-11-11-11-1-111-1i−i1-11111-1-1-1-1-11−ii-11−iii−i-11−ii-11−iii−i
χ71-111-1-11-11-11-1-111-1−ii1-11111-1-1-1-11-1−ii1-1−ii−ii1-1−ii1-1−ii−ii
χ81-111-1-11-11-11-1-111-1−ii1-11111-1-1-1-1-11i−i-11i−i−ii-11i−i-11i−i−ii
χ922222222222222-1-12222-1-1-1-1-1-1-1-1000000002200000000-1-1
χ1022222222222222-1-1-2-222-1-1-1-1-1-1-1-100000000-2-20000000011
χ11222-1-1222-1-12-12-12200-1-12-1-1-12-1-1-12200220000-1-100-1-10000
χ12222-1-1222-1-12-12-12200-1-12-1-1-12-1-1-1-2-200-2-200001100110000
χ1322-122-122-1-1-12-122200-1-1-12-1-1-12-1-1002200220000-1-100-1-100
χ1422-122-122-1-1-12-122200-1-1-12-1-1-12-1-100-2-200-2-2000011001100
χ152-222-2-22-22-22-2-22-112i−2i2-2-1-1-1-11111000000002i−2i00000000−ii
χ162-222-2-22-22-22-2-22-11−2i2i2-2-1-1-1-1111100000000−2i2i00000000i−i
χ172-22-11-22-2-1121-2-12-200-112-1-1-1-21112-2002-20000-1100-110000
χ182-22-11-22-2-1121-2-12-200-112-1-1-1-2111-2200-2200001-1001-10000
χ192-2-12-212-2-11-1-2122-200-11-12-1-11-211002i−2i002i−2i0000−ii00−ii00
χ202-2-12-212-2-11-1-2122-200-11-12-1-11-21100−2i2i00−2i2i0000i−i00i−i00
χ21333333-1-133-1-1-1-10033-1-1000000001111-1-1-1-1-1-11111-1-1-1-100
χ22333333-1-133-1-1-1-10033-1-100000000-1-1-1-11111-1-1-1-1-1-1111100
χ23333333-1-133-1-1-1-100-3-3-1-10000000011-1-1-1-1111111-1-1-1-11100
χ24333333-1-133-1-1-1-100-3-3-1-100000000-1-11111-1-111-1-11111-1-100
χ253-333-3-3-113-3-111-1003i−3i-11000000001-1i−i-11−ii−ii1-1i−i-11−ii00
χ263-333-3-3-113-3-111-1003i−3i-1100000000-11−ii1-1i−i−ii-11−ii1-1i−i00
χ273-333-3-3-113-3-111-100−3i3i-11000000001-1−ii-11i−ii−i1-1−ii-11i−i00
χ283-333-3-3-113-3-111-100−3i3i-1100000000-11i−i1-1−iii−i-11i−i1-1−ii00
χ29444-2-2444-2-24-24-2-2-200-2-2-2111-211100000000000000000000
χ3044-244-244-2-2-24-24-2-200-2-21-2111-21100000000000000000000
χ3144-2-2-2-24411-2-2-2-2440011-2-211-2-21100000000000000000000
χ3244-2-2-2-24411-2-2-2-2-2-2001111−1−3i32−1+3i3211−1−3i32−1+3i3200000000000000000000
χ3344-2-2-2-24411-2-2-2-2-2-2001111−1+3i32−1−3i3211−1+3i32−1−3i3200000000000000000000
χ344-44-22-44-4-2242-4-2-2200-22-21112-1-1-100000000000000000000
χ354-4-24-424-4-22-2-424-2200-221-211-12-1-100000000000000000000
χ364-4-2-2224-41-1-222-24-4001-1-2-21122-1-100000000000000000000
χ374-4-2-2224-41-1-222-2-22001-111−1−3i32−1+3i32-1-11+3i321−3i3200000000000000000000
χ384-4-2-2224-41-1-222-2-22001-111−1+3i32−1−3i32-1-11−3i321+3i3200000000000000000000
χ39666-3-36-2-2-3-3-21-21000011000000002200-2-20000-1-100110000
χ40666-3-36-2-2-3-3-21-2100001100000000-2-2002200001100-1-10000
χ4166-366-3-2-2-3-31-21-200001100000000002200-2-20000-1-1001100
χ4266-366-3-2-2-3-31-21-20000110000000000-2-2002200001100-1-100
χ436-66-33-6-22-33-2-12100001-1000000002-200-220000-11001-10000
χ446-66-33-6-22-33-2-12100001-100000000-22002-200001-100-110000
χ456-6-36-63-22-3312-1-200001-100000000002i−2i00−2i2i0000−ii00i−i00
χ466-6-36-63-22-3312-1-200001-10000000000−2i2i002i−2i0000i−i00−ii00
χ471212-6-6-6-6-4-43322220000-1-10000000000000000000000000000
χ4812-12-6-666-443-32-2-220000-110000000000000000000000000000

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