Finite Group Databasebeta

← Group #13048731

Character table — Group #13048731

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112222244444466666666661212121212121212121212121212121212121218182727363636363636363654545454545454108108
order12233663666663333666666333366666666666666624226666121212122246666612
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11-1-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ511-111111-1-11-1-111111-1-11111111-1-1-11111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-11-111-1-11-1
χ611-111111-1-11-1-111111-1-11111111-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11-11-1-111-11
χ711-111111-1-11-1-111111-1-11111111-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1111-1-1-11
χ811-111111-1-11-1-111111-1-11111111-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1111-1
χ92222222222222222-1-1-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1002200000000200-1-1-1-100
χ102222222222222222-1-1-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000-200111100
χ112222222222222-1-1-12222-1-1-12-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122002-1-1-12-1-1-1000000000
χ122222222222222-1-1-12222-1-1-12-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-200-2111-2111000000000
χ13222-12-12-1-12-1-1-12-1-122222-1-1-12-1-12-1-1-12-1-1-1-122-1-1-1-12200-12-1-1-12-1-1000000000
χ14222-12-12-1-12-1-1-12-1-122222-1-1-12-1-12-1-1-12-1-1-1-122-1-1-1-1-2-2001-2111-211000000000
χ15222-12-12-1-12-1-1-1-12-12222-12-1-1-12-1-12-1-1-12-1-1-1-1-122-1-12200-1-12-1-1-12-1000000000
χ16222-12-12-1-12-1-1-1-12-12222-12-1-1-12-1-12-1-1-12-1-1-1-1-122-1-1-2-20011-2111-21000000000
χ17222-12-12-1-12-1-1-1-1-122222-1-12-1-1-12-1-12-1-1-12-1-1-1-1-1-1222200-1-1-12-1-1-12000000000
χ18222-12-12-1-12-1-1-1-1-122222-1-12-1-1-12-1-12-1-1-12-1-1-1-1-1-122-2-200111-2111-2000000000
χ1922-222222-2-22-2-2222-1-111222-1-1-1-1-2-2-2-1-1-1-111111111002200000000-200-1-11100
χ2022-222222-2-22-2-2222-1-111222-1-1-1-1-2-2-2-1-1-1-11111111100-2-20000000020011-1-100
χ2122-222222-2-22-2-2-1-1-122-2-2-1-1-12-1-1-11112-1-1-1-2-21111112-2002-1-1-1-2111000000000
χ2222-222222-2-22-2-2-1-1-122-2-2-1-1-12-1-1-11112-1-1-1-2-2111111-2200-21112-1-1-1000000000
χ2322-2-12-12-11-2-1112-1-122-2-22-1-1-12-1-1-211-12-1-111-2-211112-200-12-1-11-211000000000
χ2422-2-12-12-11-2-1112-1-122-2-22-1-1-12-1-1-211-12-1-111-2-21111-22001-211-12-1-1000000000
χ2522-2-12-12-11-2-111-12-122-2-2-12-1-1-12-11-21-1-12-11111-2-2112-200-1-12-111-21000000000
χ2622-2-12-12-11-2-111-12-122-2-2-12-1-1-12-11-21-1-12-11111-2-211-220011-21-1-12-1000000000
χ2722-2-12-12-11-2-111-1-1222-2-2-1-12-1-1-1211-2-1-1-12111111-2-22-200-1-1-12111-2000000000
χ2822-2-12-12-11-2-111-1-1222-2-2-1-12-1-1-1211-2-1-1-12111111-2-2-2200111-2-1-1-12000000000
χ292-2022-2-2200-2002222-200-2-2-22222000-2-2-2-200000000002-2000000000002-20000
χ302-2022-2-2200-2002222-200-2-2-22222000-2-2-2-20000000000-2200000000000-220000
χ312-2022-2-2200-200222-11i3−i3-2-2-2-1-1-1-10001111i3−i3i3−i3i3−i3i3−i3002-200000000000-11i3−i300
χ322-2022-2-2200-200222-11i3−i3-2-2-2-1-1-1-10001111i3−i3i3−i3i3−i3i3−i300-22000000000001-1−i3i300
χ332-2022-2-2200-200222-11−i3i3-2-2-2-1-1-1-10001111−i3i3−i3i3−i3i3−i3i3002-200000000000-11−i3i300
χ342-2022-2-2200-200222-11−i3i3-2-2-2-1-1-1-10001111−i3i3−i3i3−i3i3−i3i300-22000000000001-1i3−i300
χ354444444444444-2-2-2-2-2-2-2-2-2-2-2111-2-2-2-2111-2-2111111000000000000000000000
χ36444-24-24-2-24-2-2-24-2-2-2-2-2-24-2-21-2114-2-21-21111-2-21111000000000000000000000
χ37444-24-24-2-24-2-2-2-24-2-2-2-2-2-24-211-21-24-211-211111-2-211000000000000000000000
χ38444-24-24-2-24-2-2-2-2-24-2-2-2-2-2-24111-2-2-24111-2111111-2-2000000000000000000000
χ3944-444444-4-44-4-4-2-2-2-2-222-2-2-2-2111222-211122-1-1-1-1-1-1000000000000000000000
χ4044-4-24-24-22-4-2224-2-2-2-2224-2-21-211-4221-211-1-122-1-1-1-1000000000000000000000
χ4144-4-24-24-22-4-222-24-2-2-222-24-211-212-4211-21-1-1-1-122-1-1000000000000000000000
χ4244-4-24-24-22-4-222-2-24-2-222-2-24111-222-4111-2-1-1-1-1-1-122000000000000000000000
χ434-4044-4-4400-400-2-2-24-4002224-2-2-2000-422200000000000000000000000000000
χ444-4044-4-4400-400-2-2-2-222i3−2i3222-21110002-1-1-12i3−2i3−i3i3−i3i3−i3i3000000000000000000000
χ454-4044-4-4400-400-2-2-2-22−2i32i3222-21110002-1-1-1−2i32i3i3−i3i3−i3i3−i3000000000000000000000
χ464-40-242-4-2002004-2-24-400-422-24-2-20002-42200000000000000000000000000000
χ474-40-242-4-2002004-2-2-222i3−2i3-4221-211000-12-1-1−i3i32i3−2i3−i3i3−i3i3000000000000000000000
χ484-40-242-4-2002004-2-2-22−2i32i3-4221-211000-12-1-1i3−i3−2i32i3i3−i3i3−i3000000000000000000000
χ494-40-242-4-200200-24-24-4002-42-2-24-200022-4200000000000000000000000000000
χ504-40-242-4-200200-24-2-222i3−2i32-4211-21000-1-12-1−i3i3−i3i32i3−2i3−i3i3000000000000000000000
χ514-40-242-4-200200-24-2-22−2i32i32-4211-21000-1-12-1i3−i3i3−i3−2i32i3i3−i3000000000000000000000
χ524-40-242-4-200200-2-244-40022-4-2-2-24000222-400000000000000000000000000000
χ534-40-242-4-200200-2-24-222i3−2i322-4111-2000-1-1-12−i3i3−i3i3−i3i32i3−2i3000000000000000000000
χ544-40-242-4-200200-2-24-22−2i32i322-4111-2000-1-1-12i3−i3i3−i3i3−i3−2i32i3000000000000000000000
χ556666-36-3-36-3-3-3-3000000000000000000000000000000000000000000220000-1-1
χ566666-36-3-36-3-3-3-3000000000000000000000000000000000000000000-2-2000011
χ5766-66-36-3-3-63-3330000000000000000000000000000000000000000002-20000-11
χ5866-66-36-3-3-63-333000000000000000000000000000000000000000000-2200001-1
χ59121212-6-6-6-63-6-633300000000000000000000000000000000000000000000000000
χ601212-12-6-6-6-63663-3-300000000000000000000000000000000000000000000000000
χ6112-12012-6-126-60060000000000000000000000000000000000000000000000000000
χ6212-120-6-666300-39-900000000000000000000000000000000000000000000000000
χ6312-120-6-666300-3-9900000000000000000000000000000000000000000000000000

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