Finite Group Databasebeta

← Group #6292

Character table — Group #6292

Order 216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33
size1122222222224444444466666666618181854
order12333336666633336666412121212121212122662
χ1111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1111-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11
χ5222222-1-12222-1-1-1-1-1-1-1-10000000002-1-10
χ6222222-1-12222-1-1-1-1-1-1-1-1000000000-2110
χ7222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-10000
χ8222-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-21111110000
χ922-12-1-122-12-1-1-12-1-1-12-1-12-1-122-1-1-1-10000
χ1022-12-1-122-12-1-1-12-1-1-12-1-1-211-2-211110000
χ1122-1-12-122-1-12-1-1-12-1-1-12-12-1-1-1-122-1-10000
χ1222-1-12-122-1-12-1-1-12-1-1-12-1-21111-2-2110000
χ1322-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1220000
χ1422-1-1-1222-1-1-12-1-1-12-1-1-12-2111111-2-20000
χ152-222222-2-2-2-2-22222-2-2-2-20000000000000
χ162-22222-11-2-2-2-2-1-1-1-111110000000000−i3i30
χ172-22222-11-2-2-2-2-1-1-1-111110000000000i3−i30
χ182-22-1-1-12-2-21112-1-1-1-21110003−33−33−30000
χ192-22-1-1-12-2-21112-1-1-1-2111000−33−33−330000
χ202-2-12-1-12-21-211-12-1-11-21103−3003−3−330000
χ212-2-12-1-12-21-211-12-1-11-2110−3300−333−30000
χ222-2-1-12-12-211-21-1-12-111-2103−3−33003−30000
χ232-2-1-12-12-211-21-1-12-111-210−333−300−330000
χ242-2-1-1-122-2111-2-1-1-12111-203−33−3−33000000
χ252-2-1-1-122-2111-2-1-1-12111-20−33−333−3000000
χ26444-2-2-2-2-24-2-2-2-2111-21110000000000000
χ2744-24-2-2-2-2-24-2-21-2111-2110000000000000
χ2844-2-24-2-2-2-2-24-211-2111-210000000000000
χ2944-2-2-24-2-2-2-2-24111-2111-20000000000000
χ304-44-2-2-2-22-4222-21112-1-1-10000000000000
χ314-4-24-2-2-222-4221-211-12-1-10000000000000
χ324-4-2-24-2-2222-4211-21-1-12-10000000000000
χ334-4-2-2-24-22222-4111-2-1-1-120000000000000

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