Finite Group Databasebeta

← Group #13048344

Character table — Group #13048344

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1122224466666121212121212121818181818181824242727363636363636363636363636363654545454108108
order12336636233663336666224666636226666666666121212122466612
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1111111111-11-11111-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111-11-111-1-111-1-1-111111-1-111-1-1-1-1-11-1-1-11
χ411111111111111111111-1-1111-1-111-1-1-1-11-111-1-1-1-111111-1-1-11-1
χ511111111-11111111-1111111-1-11111-1-111-11-1-111111111-1-1-1-1-1-1
χ611111111-11111111-11111-1-1-1-11111-1-11-1-1-1-1-111-1-1-1-1-1-111-1-111
χ711111111-11111111-1111-11-1-1-1-1-11111-11-11-1-1-1-111-1-1-1-11-1111-1
χ811111111-11111111-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-11
χ92222222222-1-122-1-122-1-1200-1-1-1-1-1-1222020-1-1-1-100000000-1-100
χ102222222222-1-122-1-122-1-1-200-1-111-1-1-2-2-2020-1-111000000001100
χ11222222222-122-1-12-12-12-10202200-1-10002-1-1-1-100-1-1000002000-1
χ12222222222-122-1-12-12-12-10-202200-1-1000-2-11-1-1001100000-20001
χ1322222222-22-1-122-1-1-22-1-120011-1-1-1-1-2-220-2011-1-1000000001100
χ1422222222-22-1-122-1-1-22-1-1-2001111-1-122-20-20111100000000-1-100
χ1522222222-2-122-1-12-1-2-12-1020-2-200-1-100021-11100-1-100000-20001
χ1622222222-2-122-1-12-1-2-12-10-20-2-200-1-1000-211110011000002000-1
χ1722-12-12-1-102222-1-120-1-122220022-1-100-1-10200-1-1-1-12-1-1-1000000
χ1822-12-12-1-102222-1-120-1-122-2-20022-1-100-110-200-1-111-2111000000
χ1922-12-12-1-102222-1-120-1-12-22-200-2-2-1-1001-1020011-1-1-2111000000
χ2022-12-12-1-102222-1-120-1-12-2-2200-2-2-1-100110-20011112-1-1-1000000
χ212-222-2-22-2022-2-22220-2-2-200000002-22-200000000000000002-200
χ222-222-2-22-2022-2-22220-2-2-200000002-2-220000000000000000-2200
χ232-222-2-22-202-11-22-1-10-211000−i3i3−i3i3-112-20000−i3i3−i3i300000000-1100
χ242-222-2-22-202-11-22-1-10-211000−i3i3i3−i3-11-220000−i3i3i3−i3000000001-100
χ252-222-2-22-202-11-22-1-10-211000i3−i3−i3i3-11-220000i3−i3−i3i3000000001-100
χ262-222-2-22-202-11-22-1-10-211000i3−i3i3−i3-112-20000i3−i3i3−i300000000-1100
χ27444444444-2-2-2-2-2-214-2-21000-2-200110000-201100000000000000
χ2844444444-4-2-2-2-2-2-21-4-2-21000220011000020-1-100000000000000
χ2944-24-24-2-204-2-24-21-20-21-240000-2-21100-20000011000000000000
χ3044-24-24-2-204-2-24-21-20-21-2-40000221100200000-1-1000000000000
χ3144-24-24-2-20-244-21-2-201-2-2040000011000-20-20000110000000000
χ3244-24-24-2-20-244-21-2-201-2-20-400000110002020000-1-10000000000
χ334-444-4-44-40-24-42-24-202-420000000-220000000000000000000000
χ344-444-4-44-40-2-222-2-21022-1000−2i32i3001-1000000i3−i300000000000000
χ354-444-4-44-40-2-222-2-21022-10002i3−2i3001-1000000−i3i300000000000000
χ364-4-242-4-22044-4-4-2-24022-40000000-220000000000000000000000
χ374-4-242-4-2204-22-4-21-202-1200000−2i32i31-100000000i3−i3000000000000
χ384-4-242-4-2204-22-4-21-202-12000002i3−2i31-100000000−i3i3000000000000
χ394-4-242-4-220-24-421-2-20-12200000001-100000000003-30000000000
χ404-4-242-4-220-24-421-2-20-12200000001-10000000000-330000000000
χ41666-36-3-3-360000000-3000002000000000000000000-12-1-12000-10
χ42666-36-3-3-360000000-300000-20000000000000000001-211-200010
χ43666-36-3-3-3-600000003000002000000000000000000-12-1-1-200010
χ44666-36-3-3-3-60000000300000-20000000000000000001-2112000-10
χ4588-48-48-4-40-4-4-4-422202220000000-1-10000000000000000000000
χ468-8-484-8-440-4-4442220-2-2-20000000-110000000000000000000000
χ471212-6-6-6-633000000000000004000000000000000000-2-211000000
χ481212-6-6-6-63300000000000000-400000000000000000022-1-1000000
χ4912-1212-6-126-660000000000000000000000000000000000000000000
χ5012-12-6-6663-3000000000000000000000000000000000003i−3i000000
χ5112-12-6-6663-300000000000000000000000000000000000−3i3i000000

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