Finite Group Databasebeta

← Group #88964

Character table — Group #88964

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size11222222444444666881212121212121212121212121818182727363636
order123336663336662443666661212121212121212224446612
χ1111111111111111111111111111111111111111
χ21111111111111111-11111111-11-111-1-11-1-1-1-11-1-1
χ3111111111111111-11111111-11-11-1-111-11-1-1-1-11-1
χ4111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-11
χ511111111111111-11111-1-1-1-111111111-1-11-1-1-1-11
χ611111111111111-11-111-1-1-1-11-11-111-1-1-11-111-11-1
χ711111111111111-1-1111-1-1-1-1-11-11-1-1111-1-1111-1-1
χ811111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111
χ92222-12-122-1-1-12-1202-1-12-1-1-10-10200-1-1020000-10
χ102222-12-122-1-1-12-120-2-1-12-1-1-1010-200110-2000010
χ112222-12-122-1-1-12-1-202-1-1-21110-10200-1-10-2000010
χ122222-12-122-1-1-12-1-20-2-1-1-2111010-20011020000-10
χ13222-12-122-12-1-1-12220-1-1-12-1-1-1020-1-10020000-100
χ14222-12-122-12-1-1-122-20-1-1-12-1-110-201100-20000100
χ15222-12-122-12-1-1-12-220-1-11-211-1020-1-100-20000100
χ16222-12-122-12-1-1-12-2-20-1-11-21110-20110020000-100
χ1722-12222-1-1-122-1-1022-1-1000022-1-1-1-1-1-10020000-1
χ1822-12222-1-1-122-1-102-2-1-100002-2-11-1-11100-200001
χ1922-12222-1-1-122-1-10-22-1-10000-221-111-1-100-200001
χ2022-12222-1-1-122-1-10-2-2-1-10000-2-21111110020000-1
χ212-2222-2-2-2222-2-2-20002-20000000000000002i−2i000
χ222-2222-2-2-2222-2-2-20002-2000000000000000−2i2i000
χ23444-2-2-2-24-2-211-2-240011-2-2110000000000000000
χ24444-2-2-2-24-2-211-2-2-4001122-1-10000000000000000
χ2544-24-24-2-2-21-2-2-210041100000-20-2001100000000
χ2644-24-24-2-2-21-2-2-2100-4110000020200-1-100000000
χ2744-2-24-24-21-2-2-21-2040110000-20-20110000000000
χ2844-2-24-24-21-2-2-21-20-401100002020-1-10000000000
χ294-444-2-42-44-2-22-42000-2200000000000000000000
χ304-44-242-4-4-24-222-4000-2200000000000000000000
χ314-44-2-222-4-2-21-1220001-1003-30000000000000000
χ324-44-2-222-4-2-21-1220001-100-330000000000000000
χ334-4-244-4-42-2-24-422000-2200000000000000000000
χ344-4-24-2-422-21-222-10001-100000000003i−3i00000000
χ354-4-24-2-422-21-222-10001-10000000000−3i3i00000000
χ364-4-2-242-421-2-22-120001-1000000003i−3i0000000000
χ374-4-2-242-421-2-22-120001-100000000−3i3i0000000000
χ3888-4-4-4-4-4-4222222000-1-100000000000000000000
χ398-8-4-4-4444222-2-2-2000-1100000000000000000000

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