Finite Group Databasebeta

← Group #11723590

Character table — Group #11723590

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222222222224444444444444488888888888888888121212121212121212122424242436363636545472108
order123333346666633334666612121212121212121212121212121212121212121212482424242424242424121212122824242464
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11
χ511111111111111111-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111-1-1-1111-1
χ611111111111111111-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-1111-1-1-11
χ711111111111111111-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1-1-1-111
χ811111111111111111-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111-1-1
χ92222222-222222222202222-2-2-2-2-200000-2-2-2-2000000000000000000000000002-200
χ102222222-222222222202222-2-2-2-2-200000-2-2-2-200000000000000000000000000-2200
χ11222222-12-12222-1-1-1-12-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000022-1-100-10
χ12222222-12-12222-1-1-1-12-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2110010
χ13222222-12-12222-1-1-1-1-2-1-1-1-12222-11-2-2-2-2-1-1-1-111111111000000000000002-21100-10
χ14222222-12-12222-1-1-1-1-2-1-1-1-12222-11-2-2-2-2-1-1-1-11111111100000000000000-22-1-10010
χ15222-1-1-12222-1-1-12-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-100000000
χ16222-1-1-12222-1-1-12-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111-211100000000
χ17222-1-1-12222-1-1-12-1-1-1-22-1-1-12-1-1-12-2-21112-1-1-1-2-21111112-2-2-21111112-1-1-100000000
χ18222-1-1-12222-1-1-12-1-1-1-22-1-1-12-1-1-12-2-21112-1-1-1-2-2111111-2222-1-1-1-1-1-1-211100000000
χ1922-12-1-1222-12-1-1-12-1-12-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-12-1-100000000
χ2022-12-1-1222-12-1-1-12-1-12-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-2-211-2-211111-21100000000
χ2122-12-1-1222-12-1-1-12-1-1-2-12-1-1-12-1-12-21-211-12-1-111-2-211112-211-2-21111-12-1-100000000
χ2222-12-1-1222-12-1-1-12-1-1-2-12-1-1-12-1-12-21-211-12-1-111-2-21111-22-1-122-1-1-1-11-21100000000
χ2322-1-12-1222-1-12-1-1-12-12-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-12-100000000
χ2422-1-12-1222-1-12-1-1-12-12-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-2-21111-2-21111-2100000000
χ2522-1-12-1222-1-12-1-1-12-1-2-1-12-1-1-12-12-211-21-1-12-11111-2-2112-21111-2-211-1-12-100000000
χ2622-1-12-1222-1-12-1-1-12-1-2-1-12-1-1-12-12-211-21-1-12-11111-2-211-22-1-1-1-122-1-111-2100000000
χ2722-1-1-12222-1-1-12-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1200000000
χ2822-1-1-12222-1-1-12-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-2-2111111-2-2111-200000000
χ2922-1-1-12222-1-1-12-1-1-12-2-1-1-12-1-1-122-2111-2-1-1-12111111-2-22-2111111-2-2-1-1-1200000000
χ3022-1-1-12222-1-1-12-1-1-12-2-1-1-12-1-1-122-2111-2-1-1-12111111-2-2-22-1-1-1-1-1-122111-200000000
χ31444444-2-4-24444-2-2-2-20-2-2-2-2-4-4-4-42000002222000000000000000000000000000000
χ32444-2-2-24-444-2-2-24-2-2-204-2-2-2-4222-400000-4222000000000000000000000000000000
χ33444-2-2-2-24-24-2-2-2-21114-21114-2-2-2-2-24-2-2-2-2111-2-21111110000000000000000000000
χ34444-2-2-2-24-24-2-2-2-2111-4-21114-2-2-2-22-4222-211122-1-1-1-1-1-10000000000000000000000
χ35444-2-2-2-2-4-24-2-2-2-21110-2111-42222000002-1-1-1003-33-33-30000000000000000000000
χ36444-2-2-2-2-4-24-2-2-2-21110-2111-42222000002-1-1-100-33-33-330000000000000000000000
χ3744-24-2-24-44-24-2-2-24-2-20-24-2-22-422-4000002-422000000000000000000000000000000
χ3844-24-2-2-24-2-24-2-21-21141-211-24-2-2-2-2-24-2-21-21111-2-211110000000000000000000000
χ3944-24-2-2-24-2-24-2-21-211-41-211-24-2-2-222-4221-211-1-122-1-1-1-10000000000000000000000
χ4044-24-2-2-2-4-2-24-2-21-21101-2112-422200000-12-1-13-3003-3-330000000000000000000000
χ4144-24-2-2-2-4-2-24-2-21-21101-2112-422200000-12-1-1-3300-333-30000000000000000000000
χ4244-2-24-24-44-2-24-2-2-24-20-2-24-222-42-40000022-42000000000000000000000000000000
χ4344-2-24-2-24-2-2-24-211-21411-21-2-24-2-2-2-2-24-211-211111-2-2110000000000000000000000
χ4444-2-24-2-24-2-2-24-211-21-411-21-2-24-2-2222-4211-21-1-1-1-122-1-10000000000000000000000
χ4544-2-24-2-2-4-2-2-24-211-21011-2122-42200000-1-12-13-3-33003-30000000000000000000000
χ4644-2-24-2-2-4-2-2-24-211-21011-2122-42200000-1-12-1-333-300-330000000000000000000000
χ4744-2-2-244-44-2-2-24-2-2-240-2-2-24222-4-400000222-4000000000000000000000000000000
χ4844-2-2-24-24-2-2-2-24111-24111-2-2-2-24-2-2-2-2-24111-2111111-2-20000000000000000000000
χ4944-2-2-24-24-2-2-2-24111-2-4111-2-2-2-24-22222-4111-2-1-1-1-1-1-1220000000000000000000000
χ5044-2-2-24-2-4-2-2-2-24111-20111-2222-4200000-1-1-123-33-3-33000000000000000000000000
χ5144-2-2-24-2-4-2-2-2-24111-20111-2222-4200000-1-1-12-33-333-3000000000000000000000000
χ524-4444440-4-4-4-4-444440-4-4-4-400000000000000000000000000000000000000000000
χ534-44444-202-4-4-4-4-2-2-2-202222000000000000000000000000000000000000006−60000
χ544-44444-202-4-4-4-4-2-2-2-20222200000000000000000000000000000000000000−660000
χ554-44-2-2-240-4-42224-2-2-20-422200000000000000000000000000i6−i6i6−i6i6−i6000000000000
χ564-44-2-2-240-4-42224-2-2-20-422200000000000000000000000000−i6i6−i6i6−i6i6000000000000
χ574-4-24-2-240-42-422-24-2-202-422000000000000000000000000i6−i600i6−i6−i6i6000000000000
χ584-4-24-2-240-42-422-24-2-202-422000000000000000000000000−i6i600−i6i6i6−i6000000000000
χ594-4-2-24-240-422-42-2-24-2022-42000000000000000000000000i6−i6−i6i600i6−i6000000000000
χ604-4-2-24-240-422-42-2-24-2022-42000000000000000000000000−i6i6i6−i600−i6i6000000000000
χ614-4-2-2-2440-4222-4-2-2-240222-4000000000000000000000000i6−i6i6−i6−i6i600000000000000
χ624-4-2-2-2440-4222-4-2-2-240222-4000000000000000000000000−i6i6−i6i6i6−i600000000000000
χ638-88-4-4-4-404-8444-422204-2-2-200000000000000000000000000000000000000000000
χ648-8-48-4-4-4044-8442-4220-24-2-200000000000000000000000000000000000000000000
χ658-8-4-48-4-40444-8422-420-2-24-200000000000000000000000000000000000000000000
χ668-8-4-4-48-404444-8222-40-2-2-2400000000000000000000000000000000000000000000

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