Finite Group Databasebeta

← Group #13048342

Character table — Group #13048342

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1122224466666121212121212121818181818181824242727363636363636363636363636363654545454108108
order12336636233663336666224666636226666666666121212122466612
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-111111111-11-1-1-111111-1-1-1-1-1-111-1-1
χ311111111111111111111-11-111-1-111-1-11-1111111-1-1-1-1-1-1-11-1-1-11
χ411111111111111111111-1-1111-1-111-1-1-1-1-1-1-1111-1-111111-1-1-11-1
χ511111111-11111111-1111111-1-11111-1-111111-1-1-1111111-1-1-1-1-1-1
χ611111111-11111111-11111-1-1-1-11111-1-1-11-1-1-1-1-1-111-1-1-1-111-1-111
χ711111111-11111111-1111-11-1-1-1-1-111111-1111-1-1-1-1-1-1-1-1-11-1111-1
χ811111111-11111111-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-11
χ92222222222-1-122-1-12-1-12200-1-1-1-1-1-122020002-1-1-1-1000000-1-100
χ102222222222-1-122-1-12-1-12-200-1-111-1-1-2-20-20002-1-1110000001100
χ11222222222-122-1-12-122-1-10022200-1-10000000-1-1-1002-1-1-12000-10
χ12222222222-122-1-12-122-1-100-22200-1-10000000-1-1-100-2111-200010
χ1322222222-22-1-122-1-1-2-1-1220011-1-1-1-1-2-202000-211-1-10000001100
χ1422222222-22-1-122-1-1-2-1-12-2001111-1-1220-2000-21111000000-1-100
χ1522222222-2-122-1-12-1-22-1-1002-2-200-1-10000000111002-1-1-1-200010
χ1622222222-2-122-1-12-1-22-1-100-2-2-200-1-1000000011100-21112000-10
χ17222-1-12-1-102222-1-120-12-12220022-1-1002-1-1-1-1000-1-1-12-1-1000000
χ18222-1-12-1-102222-1-120-12-12-2-20022-1-100-2-1111000-1-11-211000000
χ19222-1-12-1-102222-1-120-12-1-22-200-2-2-1-10021-1-1-1000111-211000000
χ20222-1-12-1-102222-1-120-12-1-2-2200-2-2-1-100-2111100011-12-1-1000000
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
χ232-222-2-22-202-11-22-1-1011-2000−i3i3−i3i3-112-2000000−i3i3−i3i3000000-1100
χ242-222-2-22-202-11-22-1-1011-2000−i3i3i3−i3-11-22000000−i3i3i3−i30000001-100
χ252-222-2-22-202-11-22-1-1011-2000i3−i3−i3i3-11-22000000i3−i3−i3i30000001-100
χ262-222-2-22-202-11-22-1-1011-2000i3−i3i3−i3-112-2000000i3−i3i3−i3000000-1100
χ27444444444-2-2-2-2-2-214-21-2000-2-200110000000-211000000000000
χ2844444444-4-2-2-2-2-2-21-4-21-200022001100000002-1-1000000000000
χ29444-2-24-2-204-2-24-21-201-2-240000-2-211000-2000000110000000000
χ30444-2-24-2-204-2-24-21-201-2-2-4000022110002000000-1-10000000000
χ31444-2-24-2-20-244-21-2-20-2-21004000011000000000000-2-211000000
χ32444-2-24-2-20-244-21-2-20-2-2100-400001100000000000022-1-1000000
χ334-444-4-44-40-24-42-24-20-4220000000-220000000000000000000000
χ344-444-4-44-40-2-222-2-2102-12000−2i32i3001-100000000i3−i3000000000000
χ354-444-4-44-40-2-222-2-2102-120002i3−2i3001-100000000−i3i3000000000000
χ364-44-22-4-22044-4-4-2-2402-420000000-220000000000000000000000
χ374-44-22-4-2204-22-4-21-20-12200000−2i32i31-10000000000i3−i30000000000
χ384-44-22-4-2204-22-4-21-20-122000002i3−2i31-10000000000−i3i30000000000
χ394-44-22-4-220-24-421-2-2022-100000001-1000000000000003i−3i000000
χ404-44-22-4-220-24-421-2-2022-100000001-100000000000000−3i3i000000
χ4166-366-3-3-360000000-300002000000000-102-1-100000000002000-1
χ4266-366-3-3-360000000-30000-200000000010-2110000000000-20001
χ4366-366-3-3-3-60000000300002000000000-102-1-10000000000-20001
χ4466-366-3-3-3-6000000030000-200000000010-21100000000002000-1
χ45888-4-48-4-40-4-4-4-422202220000000-1-10000000000000000000000
χ468-88-44-8-440-4-4442220-2-2-20000000-110000000000000000000000
χ471212-6-6-6-63300000000000004000000000-20-211000000000000000
χ481212-6-6-6-6330000000000000-4000000000202-1-1000000000000000
χ4912-12-612-126-660000000000000000000000000000000000000000000
χ5012-12-6-6663-3000000000000000000000000003-3000000000000000
χ5112-12-6-6663-300000000000000000000000000-33000000000000000

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