Finite Group Databasebeta

← Group #89019

Character table — Group #89019

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size112222222222244444444444444444444466121212121212121218182727363654
order12333334666663333666612121212121212121212121212441212121212121212442212124
χ1111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11
χ51111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11-1111-1-1
χ61111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-11-1-1-111
χ71111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-11-11
χ81111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1111-11-1
χ9222222-122222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100000000002200-1-10
χ10222222-122222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-10000000000-2-200110
χ11222222-1-22222-1-1-1-1-1-1-1-1-1-2-2-2-211111111100000000002-200-110
χ12222222-1-22222-1-1-1-1-1-1-1-1-1-2-2-2-21111111110000000000-22001-10
χ13222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-10000000
χ14222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2111-21110000000
χ15222-1-1-12-22-1-1-122-1-1-12-1-1-1-2111-2-2-21111112-22-1-1-1-21110000000
χ16222-1-1-12-22-1-1-122-1-1-12-1-1-1-2111-2-2-2111111-22-21112-1-1-10000000
χ1722-12-1-122-12-1-12-12-1-1-12-1-1-12-1-12-1-122-1-1-1-122-12-1-1-12-1-10000000
χ1822-12-1-122-12-1-12-12-1-1-12-1-1-12-1-12-1-122-1-1-1-1-2-21-2111-2110000000
χ1922-12-1-12-2-12-1-12-12-1-1-12-1-11-211-211-2-211112-2-12-1-11-2110000000
χ2022-12-1-12-2-12-1-12-12-1-1-12-1-11-211-211-2-21111-221-211-12-1-10000000
χ2122-1-12-122-1-12-12-1-12-1-1-12-1-1-12-12-1-1-1-122-1-122-1-12-1-1-12-10000000
χ2222-1-12-122-1-12-12-1-12-1-1-12-1-1-12-12-1-1-1-122-1-1-2-211-2111-210000000
χ2322-1-12-12-2-1-12-12-1-12-1-1-12-111-21-21111-2-2112-2-1-12-111-210000000
χ2422-1-12-12-2-1-12-12-1-12-1-1-12-111-21-21111-2-211-2211-21-1-12-10000000
χ2522-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-120000000
χ2622-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-2-2111-2111-20000000
χ2722-1-1-122-2-1-1-122-1-1-12-1-1-12111-2-2111111-2-22-2-1-1-12111-20000000
χ2822-1-1-122-2-1-1-122-1-1-12-1-1-12111-2-2111111-2-2-22111-2-1-1-120000000
χ292-2222220-2-2-2-2-22222-2-2-2-200000000000000000000000002-2000
χ302-2222220-2-2-2-2-22222-2-2-2-20000000000000000000000000-22000
χ31444-2-2-2-244-2-2-2-2-2111-21114-2-2-2-2-2-211111100000000000000000
χ32444-2-2-2-2-44-2-2-2-2-2111-2111-4222222-1-1-1-1-1-100000000000000000
χ3344-24-2-2-24-24-2-2-21-2111-211-24-2-2-211-2-2111100000000000000000
χ3444-24-2-2-2-4-24-2-2-21-2111-2112-4222-1-122-1-1-1-100000000000000000
χ3544-2-24-2-24-2-24-2-211-2111-21-2-24-2-21111-2-21100000000000000000
χ3644-2-24-2-2-4-2-24-2-211-2111-2122-422-1-1-1-122-1-100000000000000000
χ3744-2-2-24-24-2-2-24-2111-2111-2-2-2-24-2111111-2-200000000000000000
χ3844-2-2-24-2-4-2-2-24-2111-2111-2222-42-1-1-1-1-1-12200000000000000000
χ394-44444-20-4-4-4-42-2-2-2-22222000000000000000000000000000000
χ404-44-2-2-240-4222-44-2-2-2-4222000000000000000000000000000000
χ414-44-2-2-2-20-42222-21112-1-1-100000003i−3i3i−3i3i−3i00000000000000000
χ424-44-2-2-2-20-42222-21112-1-1-10000000−3i3i−3i3i−3i3i00000000000000000
χ434-4-24-2-2402-422-4-24-2-22-422000000000000000000000000000000
χ444-4-24-2-2-202-42221-211-12-1-1000003i−3i003i−3i−3i3i00000000000000000
χ454-4-24-2-2-202-42221-211-12-1-100000−3i3i00−3i3i3i−3i00000000000000000
χ464-4-2-24-24022-42-4-2-24-222-42000000000000000000000000000000
χ474-4-2-24-2-2022-42211-21-1-12-1000003i−3i−3i3i003i−3i00000000000000000
χ484-4-2-24-2-2022-42211-21-1-12-100000−3i3i3i−3i00−3i3i00000000000000000
χ494-4-2-2-2440222-4-4-2-2-24222-4000000000000000000000000000000
χ504-4-2-2-24-20222-42111-2-1-1-12000003i−3i3i−3i−3i3i0000000000000000000
χ514-4-2-2-24-20222-42111-2-1-1-1200000−3i3i−3i3i3i−3i0000000000000000000

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