Finite Group Databasebeta

← Group #72258622

Character table — Group #72258622

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size123468888121224242424243232323232323232323232327272144144144123468888121224242424243232323232323232323232327272144144144
order132262666244612121233366666666624448262262666244612121266666666666624448
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-11111111111111111111111111111-1-1-1-1-1
χ311111-11-1-111-111-1-1111111-1-1-1-1-1-111-11-111111-11-1-111-111-1-1111111-1-1-1-1-1-111-11-1
χ411111-11-1-111-111-1-1111111-1-1-1-1-1-1-1-11-1111111-11-1-111-111-1-1111111-1-1-1-1-1-1-1-11-11
χ52222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-100000
χ622222-22-2-222-222-2-2-1-1-1-1-1-11111110000022222-22-2-222-222-2-2-1-1-1-1-1-111111100000
χ7222-220-2002-202-200222-2-2-200000000000222-220-2002-202-200222-2-2-200000000000
χ8222-220-2002-202-200-1-1-1111i3i3i3−i3−i3−i300000222-220-2002-202-200-1-1-1111i3i3i3−i3−i3−i300000
χ9222-220-2002-202-200-1-1-1111−i3−i3−i3i3i3i300000222-220-2002-202-200-1-1-1111−i3−i3−i3i3i3i300000
χ102-122-12-1-1-1222-1-1-1-12-1-12-1-12-1-12-1-1000002-122-12-1-1-1222-1-1-1-12-1-12-1-12-1-12-1-100000
χ112-122-12-1-1-1222-1-1-1-1-12-1-12-1-12-1-12-1000002-122-12-1-1-1222-1-1-1-1-12-1-12-1-12-1-12-100000
χ122-122-12-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-12000002-122-12-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-1200000
χ132-122-1-2-11122-2-1-1112-1-12-1-1-211-211000002-122-1-2-11122-2-1-1112-1-12-1-1-211-21100000
χ142-122-1-2-11122-2-1-111-12-1-12-11-211-21000002-122-1-2-11122-2-1-111-12-1-12-11-211-2100000
χ152-122-1-2-11122-2-1-111-1-12-1-1211-211-2000002-122-1-2-11122-2-1-111-1-12-1-1211-211-200000
χ162-12-2-101i3−i32-20-11i3−i32-1-1-2110i3−i30−i3i3000002-12-2-101i3−i32-20-11i3−i32-1-1-2110i3−i30−i3i300000
χ172-12-2-101i3−i32-20-11i3−i3-12-11-21−i30i3i30−i3000002-12-2-101i3−i32-20-11i3−i3-12-11-21−i30i3i30−i300000
χ182-12-2-101i3−i32-20-11i3−i3-1-1211-2i3−i30−i3i30000002-12-2-101i3−i32-20-11i3−i3-1-1211-2i3−i30−i3i3000000
χ192-12-2-101−i3i32-20-11−i3i32-1-1-2110−i3i30i3−i3000002-12-2-101−i3i32-20-11−i3i32-1-1-2110−i3i30i3−i300000
χ202-12-2-101−i3i32-20-11−i3i3-12-11-21i30−i3−i30i3000002-12-2-101−i3i32-20-11−i3i3-12-11-21i30−i3−i30i300000
χ212-12-2-101−i3i32-20-11−i3i3-1-1211-2−i3i30i3−i30000002-12-2-101−i3i32-20-11−i3i3-1-1211-2−i3i30i3−i3000000
χ22333333333-1-1-1-1-1-1-1000000000000111-1-1333333333-1-1-1-1-1-1-1000000000000111-1-1
χ23333333333-1-1-1-1-1-1-1000000000000-1-1-111333333333-1-1-1-1-1-1-1000000000000-1-1-111
χ2433333-33-3-3-1-11-1-11100000000000011-1-1133333-33-3-3-1-11-1-11100000000000011-1-11
χ2533333-33-3-3-1-11-1-111000000000000-1-111-133333-33-3-3-1-11-1-111000000000000-1-111-1
χ26666-660-600-220-220000000000000000000666-660-600-220-220000000000000000000
χ276-366-36-3-3-3-2-2-21111000000000000000006-366-36-3-3-3-2-2-2111100000000000000000
χ286-366-3-6-333-2-2211-1-1000000000000000006-366-3-6-333-2-2211-1-100000000000000000
χ296-36-6-3033i3−3i3-2201-1−i3i3000000000000000006-36-6-3033i3−3i3-2201-1−i3i300000000000000000
χ306-36-6-303−3i33i3-2201-1i3−i3000000000000000006-36-6-303−3i33i3-2201-1i3−i300000000000000000
χ311212-40-4000000000000000000000002-20001212-40-4000000000000000000000002-2000
χ321212-40-400000000000000000000000-220001212-40-400000000000000000000000-22000
χ3324-12-804000000000000000000000000000024-12-8040000000000000000000000000000
χ34111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ351111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ3611111-11-1-111-111-1-1111111-1-1-1-1-1-111-11-1-1-1-1-1-11-111-1-11-1-111-1-1-1-1-1-1111111-1-11-11
χ3711111-11-1-111-111-1-1111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11-111-1-11-1-111-1-1-1-1-1-111111111-11-1
χ382222222222222222-1-1-1-1-1-1-1-1-1-1-1-100000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111100000
χ3922222-22-2-222-222-2-2-1-1-1-1-1-111111100000-2-2-2-2-22-222-2-22-2-222111111-1-1-1-1-1-100000
χ40222-220-2002-202-200222-2-2-200000000000-2-2-22-20200-220-2200-2-2-222200000000000
χ41222-220-2002-202-200-1-1-1111i3i3i3−i3−i3−i300000-2-2-22-20200-220-2200111-1-1-1−i3−i3−i3i3i3i300000
χ42222-220-2002-202-200-1-1-1111−i3−i3−i3i3i3i300000-2-2-22-20200-220-2200111-1-1-1i3i3i3−i3−i3−i300000
χ432-122-12-1-1-1222-1-1-1-12-1-12-1-12-1-12-1-100000-21-2-21-2111-2-2-21111-211-211-211-21100000
χ442-122-12-1-1-1222-1-1-1-1-12-1-12-1-12-1-12-100000-21-2-21-2111-2-2-211111-211-211-211-2100000
χ452-122-12-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-1200000-21-2-21-2111-2-2-2111111-211-211-211-200000
χ462-122-1-2-11122-2-1-1112-1-12-1-1-211-21100000-21-2-2121-1-1-2-2211-1-1-211-2112-1-12-1-100000
χ472-122-1-2-11122-2-1-111-12-1-12-11-211-2100000-21-2-2121-1-1-2-2211-1-11-211-21-12-1-12-100000
χ482-122-1-2-11122-2-1-111-1-12-1-1211-211-200000-21-2-2121-1-1-2-2211-1-111-211-2-1-12-1-1200000
χ492-12-2-101i3−i32-20-11i3−i32-1-1-2110i3−i30−i3i300000-21-2210-1−i3i3-2201-1−i3i3-2112-1-10−i3i30i3−i300000
χ502-12-2-101i3−i32-20-11i3−i3-12-11-21−i30i3i30−i300000-21-2210-1−i3i3-2201-1−i3i31-21-12-1i30−i3−i30i300000
χ512-12-2-101i3−i32-20-11i3−i3-1-1211-2i3−i30−i3i3000000-21-2210-1−i3i3-2201-1−i3i311-2-1-12−i3i30i3−i3000000
χ522-12-2-101−i3i32-20-11−i3i32-1-1-2110−i3i30i3−i300000-21-2210-1i3−i3-2201-1i3−i3-2112-1-10i3−i30−i3i300000
χ532-12-2-101−i3i32-20-11−i3i3-12-11-21i30−i3−i30i300000-21-2210-1i3−i3-2201-1i3−i31-21-12-1−i30i3i30−i300000
χ542-12-2-101−i3i32-20-11−i3i3-1-1211-2−i3i30i3−i3000000-21-2210-1i3−i3-2201-1i3−i311-2-1-12i3−i30−i3i3000000
χ55333333333-1-1-1-1-1-1-1000000000000111-1-1-3-3-3-3-3-3-3-3-31111111000000000000-1-1-111
χ56333333333-1-1-1-1-1-1-1000000000000-1-1-111-3-3-3-3-3-3-3-3-31111111000000000000111-1-1
χ5733333-33-3-3-1-11-1-11100000000000011-1-11-3-3-3-3-33-33311-111-1-1000000000000-1-111-1
χ5833333-33-3-3-1-11-1-111000000000000-1-111-1-3-3-3-3-33-33311-111-1-100000000000011-1-11
χ59666-660-600-220-220000000000000000000-6-6-66-606002-202-20000000000000000000
χ606-366-36-3-3-3-2-2-2111100000000000000000-63-6-63-6333222-1-1-1-100000000000000000
χ616-366-3-6-333-2-2211-1-100000000000000000-63-6-6363-3-322-2-1-11100000000000000000
χ626-36-6-3033i3−3i3-2201-1−i3i300000000000000000-63-6630-3−3i33i32-20-11i3−i300000000000000000
χ636-36-6-303−3i33i3-2201-1i3−i300000000000000000-63-6630-33i3−3i32-20-11−i3i300000000000000000
χ641212-40-4000000000000000000000002-2000-12-1240400000000000000000000000-22000
χ651212-40-400000000000000000000000-22000-12-12404000000000000000000000002-2000
χ6624-12-8040000000000000000000000000000-241280-40000000000000000000000000000

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