Finite Group Databasebeta

← Group #13180607

Character table — Group #13180607

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size144669121218144669121218288121218242436288121218242436288121218242436288121218242436288121218242436624243636547272108624243636547272108
order13322266426622266426622266433366666126666666612666666661266666666122662226644121244412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-1
χ3111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1
χ4111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11
χ522200-200022200-200022200-200022200-200022200-200022200-200022200-200022200-200022200-2000
χ641-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-10
χ741-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-20010
χ84-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-100
χ94-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-200100
χ10111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ111111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-1-1-1-1-11-1-111-1-1-1-11-1-111
χ12111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1-1-1-11-1-11-11-1-1-11-1-11-11
χ13111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11-1-1-111-111-1-1-1-111-111-1
χ1422200-200022200-200022200-200022200-200022200-200022200-200022200-2000-2-2-2002000-2-2-2002000
χ1541-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-10-4-120-20010-4-120-20010
χ1641-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-20010-4-120200-10-4-120200-10
χ174-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-100-42-1-200100-42-1-200100
χ184-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-200100-42-1200-100-42-1200-100
χ19111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1
χ201111-111-1-11111-111-1-1-1-1-1-11-1-1111111-111-1-11111-111-1-1-1-1-1-11-1-111-1-1-1-11-1-1111111-111-1-1-1-1-1-11-1-111
χ21111-111-11-1111-111-11-1-1-1-11-1-11-11111-111-11-1111-111-11-1-1-1-11-1-11-11-1-1-11-1-11-11111-111-11-1-1-1-11-1-11-11
χ22111-1-11-1-11111-1-11-1-11-1-1-111-111-1111-1-11-1-11111-1-11-1-11-1-1-111-111-1-1-1-111-111-1111-1-11-1-11-1-1-111-111-1
χ2322200-200022200-2000-2-2-200200022200-200022200-2000-2-2-2002000-2-2-200200022200-2000-2-2-2002000
χ2441-20200-1041-20200-10-4-120-2001041-20200-1041-20200-10-4-120-20010-4-120-2001041-20200-10-4-120-20010
χ2541-20-2001041-20-20010-4-120200-1041-20-2001041-20-20010-4-120200-10-4-120200-1041-20-20010-4-120200-10
χ264-21200-1004-21200-100-42-1-2001004-21200-1004-21200-100-42-1-200100-42-1-2001004-21200-100-42-1-200100
χ274-21-2001004-21-200100-42-1200-1004-21-2001004-21-200100-42-1200-100-42-1200-1004-21-200100-42-1200-100
χ28111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ291111-111-1-11111-111-1-1-1-1-1-11-1-1111111-111-1-11111-111-1-1-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-11-1-1111111-111-1-1
χ30111-111-11-1111-111-11-1-1-1-11-1-11-11111-111-11-1111-111-11-1-1-1-11-1-11-11-1-1-11-1-11-11-1-1-11-1-11-11111-111-11-1
χ31111-1-11-1-11111-1-11-1-11-1-1-111-111-1111-1-11-1-11111-1-11-1-11-1-1-111-111-1-1-1-111-111-1-1-1-111-111-1111-1-11-1-11
χ3222200-200022200-2000-2-2-200200022200-200022200-2000-2-2-2002000-2-2-2002000-2-2-200200022200-2000
χ3341-20200-1041-20200-10-4-120-2001041-20200-1041-20200-10-4-120-20010-4-120-20010-4-120-2001041-20200-10
χ3441-20-2001041-20-20010-4-120200-1041-20-2001041-20-20010-4-120200-10-4-120200-10-4-120200-1041-20-20010
χ354-21200-1004-21200-100-42-1-2001004-21200-1004-21200-100-42-1-200100-42-1-200100-42-1-2001004-21200-100
χ364-21-2001004-21-200100-42-1200-1004-21-2001004-21-200100-42-1200-100-42-1200-100-42-1200-1004-21-200100
χ37222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ382222-222-2-22222-222-2-22222-222-2-2-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-11-1-111000000000000000000
χ39222-222-22-2222-222-22-2222-222-22-2-1-1-11-1-11-11-1-1-11-1-11-11-1-1-11-1-11-11-1-1-11-1-11-11000000000000000000
χ40222-2-22-2-22222-2-22-2-22222-2-22-2-22-1-1-111-111-1-1-1-111-111-1-1-1-111-111-1-1-1-111-111-1000000000000000000
χ4144400-400044400-400044400-4000-2-2-2002000-2-2-2002000-2-2-2002000-2-2-2002000000000000000000000
χ4282-40400-2082-40400-2082-40400-20-4-120-20010-4-120-20010-4-120-20010-4-120-20010000000000000000000
χ4382-40-4002082-40-4002082-40-40020-4-120200-10-4-120200-10-4-120200-10-4-120200-10000000000000000000
χ448-42400-2008-42400-2008-42400-200-42-1-200100-42-1-200100-42-1-200100-42-1-200100000000000000000000
χ458-42-4002008-42-4002008-42-400200-42-1200-100-42-1200-100-42-1200-100-42-1200-100000000000000000000
χ46222222222222222222-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111000000000000000000
χ472222-222-2-22222-222-2-2-2-2-2-22-2-222-1-1-1-11-1-111-1-1-1-11-1-1111111-111-1-11111-111-1-1000000000000000000
χ48222-222-22-2222-222-22-2-2-2-22-2-22-22-1-1-11-1-11-11-1-1-11-1-11-11111-111-11-1111-111-11-1000000000000000000
χ49222-2-22-2-22222-2-22-2-22-2-2-222-222-2-1-1-111-111-1-1-1-111-111-1111-1-11-1-11111-1-11-1-11000000000000000000
χ5044400-400044400-4000-4-4-4004000-2-2-2002000-2-2-200200022200-200022200-2000000000000000000000
χ5182-40400-2082-40400-20-8-240-40020-4-120-20010-4-120-2001041-20200-1041-20200-10000000000000000000
χ5282-40-4002082-40-40020-8-240400-20-4-120200-10-4-120200-1041-20-2001041-20-20010000000000000000000
χ538-42400-2008-42400-200-84-2-400200-42-1-200100-42-1-2001004-21200-1004-21200-100000000000000000000
χ548-42-4002008-42-400200-84-2400-200-42-1200-100-42-1200-1004-21-2001004-21-200100000000000000000000
χ55222222222-2-2-2-2-2-2-2-2-2000000000222222222-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ562222-222-2-2-2-2-2-22-2-2220000000002222-222-2-2-2-2-2-22-2-222000000000000000000000000000000000000
χ57222-222-22-2-2-2-22-2-22-22000000000222-222-22-2-2-2-22-2-22-22000000000000000000000000000000000000
χ58222-2-22-2-22-2-2-222-222-2000000000222-2-22-2-22-2-2-222-222-2000000000000000000000000000000000000
χ5944400-4000-4-4-400400000000000044400-4000-4-4-4004000000000000000000000000000000000000000
χ6082-40400-20-8-240-4002000000000082-40400-20-8-240-40020000000000000000000000000000000000000
χ6182-40-40020-8-240400-2000000000082-40-40020-8-240400-20000000000000000000000000000000000000
χ628-42400-200-84-2-4002000000000008-42400-200-84-2-400200000000000000000000000000000000000000
χ638-42-400200-84-2400-2000000000008-42-400200-84-2400-200000000000000000000000000000000000000
χ64222222222-2-2-2-2-2-2-2-2-2000000000-1-1-1-1-1-1-1-1-1111111111i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3000000000000000000
χ652222-222-2-2-2-2-2-22-2-222000000000-1-1-1-11-1-1111111-111-1-1i3i3i3i3−i3i3i3−i3−i3−i3−i3−i3−i3i3−i3−i3i3i3000000000000000000
χ66222-222-22-2-2-2-22-2-22-22000000000-1-1-11-1-11-11111-111-11-1i3i3i3−i3i3i3−i3i3−i3−i3−i3−i3i3−i3−i3i3−i3i3000000000000000000
χ67222-2-22-2-22-2-2-222-222-2000000000-1-1-111-111-1111-1-11-1-11i3i3i3−i3−i3i3−i3−i3i3−i3−i3−i3i3i3−i3i3i3−i3000000000000000000
χ6844400-4000-4-4-4004000000000000-2-2-200200022200-20002i32i32i300−2i3000−2i3−2i3−2i3002i3000000000000000000000
χ6982-40400-20-8-240-40020000000000-4-120-2001041-20200-104i3i3−2i302i300−i30−4i3−i32i30−2i300i30000000000000000000
χ7082-40-40020-8-240400-20000000000-4-120200-1041-20-200104i3i3−2i30−2i300i30−4i3−i32i302i300−i30000000000000000000
χ718-42400-200-84-2-400200000000000-42-1-2001004-21200-1004i3−2i3i32i300−i300−4i32i3−i3−2i300i300000000000000000000
χ728-42-400200-84-2400-200000000000-42-1200-1004-21-2001004i3−2i3i3−2i300i300−4i32i3−i32i300−i300000000000000000000
χ73222222222-2-2-2-2-2-2-2-2-2000000000-1-1-1-1-1-1-1-1-1111111111−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3000000000000000000
χ742222-222-2-2-2-2-2-22-2-222000000000-1-1-1-11-1-1111111-111-1-1−i3−i3−i3−i3i3−i3−i3i3i3i3i3i3i3−i3i3i3−i3−i3000000000000000000
χ75222-222-22-2-2-2-22-2-22-22000000000-1-1-11-1-11-11111-111-11-1−i3−i3−i3i3−i3−i3i3−i3i3i3i3i3−i3i3i3−i3i3−i3000000000000000000
χ76222-2-22-2-22-2-2-222-222-2000000000-1-1-111-111-1111-1-11-1-11−i3−i3−i3i3i3−i3i3i3−i3i3i3i3−i3−i3i3−i3−i3i3000000000000000000
χ7744400-4000-4-4-4004000000000000-2-2-200200022200-2000−2i3−2i3−2i3002i30002i32i32i300−2i3000000000000000000000
χ7882-40400-20-8-240-40020000000000-4-120-2001041-20200-10−4i3−i32i30−2i300i304i3i3−2i302i300−i30000000000000000000
χ7982-40-40020-8-240400-20000000000-4-120200-1041-20-20010−4i3−i32i302i300−i304i3i3−2i30−2i300i30000000000000000000
χ808-42400-200-84-2-400200000000000-42-1-2001004-21200-100−4i32i3−i3−2i300i3004i3−2i3i32i300−i300000000000000000000
χ818-42-400200-84-2400-200000000000-42-1200-1004-21-200100−4i32i3−i32i300−i3004i3−2i3i3−2i300i300000000000000000000

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