Finite Group Databasebeta

← Group #13047476

Character table — Group #13047476

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11222223333666666666666661818181818181818181818185454545454541122222333366666666666666181818181818181818181818545454545454
order12236663366333666666666663666991818181818182466121222266666666666666666666666666181818181818181824661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1
χ311-111-1-11111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-111-1-11111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1
χ411-111-1-11111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-11111-111-1-11111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111
χ52222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-10000002222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000
χ622222222222-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000022222222222-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000
χ722222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12-12-122-1-100000022222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12-12-122-1-1000000
χ822222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-1-12200000022222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-1-122000000
χ922-222-2-22222222-2-2222-2-2-2-2-2-2-1-111-1-1-1-1111100000022-222-2-22222222-2-2222-2-2-2-2-2-2-1-111-1-1-1-11111000000
χ1022-222-2-22222-1-1-1-2-2-1-1-111111122-2-2-1-1-1-1111100000022-222-2-22222-1-1-1-2-2-1-1-111111122-2-2-1-1-1-11111000000
χ1122-222-2-22222-1-1-1-2-2-1-1-1111111-1-1112-12-1-2-21100000022-222-2-22222-1-1-1-2-2-1-1-1111111-1-1112-12-1-2-211000000
χ1222-222-2-22222-1-1-1-2-2-1-1-1111111-1-111-12-1211-2-200000022-222-2-22222-1-1-1-2-2-1-1-1111111-1-111-12-1211-2-2000000
χ132-202-20022-2-222200-2-2-20000002-20022-2-200000000002-202-20022-2-222200-2-2-20000002-20022-2-20000000000
χ142-202-20022-2-222200-2-2-2000000-11i3−i3-1-111i3−i3i3−i30000002-202-20022-2-222200-2-2-2000000-11i3−i3-1-111i3−i3i3−i3000000
χ152-202-20022-2-222200-2-2-2000000-11−i3i3-1-111−i3i3−i3i30000002-202-20022-2-222200-2-2-2000000-11−i3i3-1-111−i3i3−i3i3000000
χ162-202-20022-2-2-1-1-100111i3i3i3−i3−i3−i32-200-1-111i3−i3−i3i30000002-202-20022-2-2-1-1-100111i3i3i3−i3−i3−i32-200-1-111i3−i3−i3i3000000
χ172-202-20022-2-2-1-1-100111i3i3i3−i3−i3−i3-11i3−i3-121-2−i3i3000000002-202-20022-2-2-1-1-100111i3i3i3−i3−i3−i3-11i3−i3-121-2−i3i300000000
χ182-202-20022-2-2-1-1-100111i3i3i3−i3−i3−i3-11−i3i32-1-2100i3−i30000002-202-20022-2-2-1-1-100111i3i3i3−i3−i3−i3-11−i3i32-1-2100i3−i3000000
χ192-202-20022-2-2-1-1-100111−i3−i3−i3i3i3i32-200-1-111−i3i3i3−i30000002-202-20022-2-2-1-1-100111−i3−i3−i3i3i3i32-200-1-111−i3i3i3−i3000000
χ202-202-20022-2-2-1-1-100111−i3−i3−i3i3i3i3-11i3−i32-1-2100−i3i30000002-202-20022-2-2-1-1-100111−i3−i3−i3i3i3i3-11i3−i32-1-2100−i3i3000000
χ212-202-20022-2-2-1-1-100111−i3−i3−i3i3i3i3-11−i3i3-121-2i3−i3000000002-202-20022-2-2-1-1-100111−i3−i3−i3i3i3i3-11−i3i3-121-2i3−i300000000
χ223333333−3+3i32−3−3i32−3+3i32−3−3i32000−3+3i32−3−3i3200000000000000000000011−1+i32−1−i32−1+i32−1−i323333333−3+3i32−3−3i32−3+3i32−3−3i32000−3+3i32−3−3i3200000000000000000000011−1+i32−1−i32−1+i32−1−i32
χ233333333−3+3i32−3−3i32−3+3i32−3−3i32000−3+3i32−3−3i32000000000000000000000-1-11−i321+i321−i321+i323333333−3+3i32−3−3i32−3+3i32−3−3i32000−3+3i32−3−3i32000000000000000000000-1-11−i321+i321−i321+i32
χ243333333−3−3i32−3+3i32−3−3i32−3+3i32000−3−3i32−3+3i3200000000000000000000011−1−i32−1+i32−1−i32−1+i323333333−3−3i32−3+3i32−3−3i32−3+3i32000−3−3i32−3+3i3200000000000000000000011−1−i32−1+i32−1−i32−1+i32
χ253333333−3−3i32−3+3i32−3−3i32−3+3i32000−3−3i32−3+3i32000000000000000000000-1-11+i321−i321+i321−i323333333−3−3i32−3+3i32−3−3i32−3+3i32000−3−3i32−3+3i32000000000000000000000-1-11+i321−i321+i321−i32
χ2633-333-3-3−3+3i32−3−3i32−3+3i32−3−3i320003−3i323+3i320000000000000000000001-1−1+i32−1−i321−i321+i3233-333-3-3−3+3i32−3−3i32−3+3i32−3−3i320003−3i323+3i320000000000000000000001-1−1+i32−1−i321−i321+i32
χ2733-333-3-3−3+3i32−3−3i32−3+3i32−3−3i320003−3i323+3i32000000000000000000000-111−i321+i32−1+i32−1−i3233-333-3-3−3+3i32−3−3i32−3+3i32−3−3i320003−3i323+3i32000000000000000000000-111−i321+i32−1+i32−1−i32
χ2833-333-3-3−3−3i32−3+3i32−3−3i32−3+3i320003+3i323−3i320000000000000000000001-1−1−i32−1+i321+i321−i3233-333-3-3−3−3i32−3+3i32−3−3i32−3+3i320003+3i323−3i320000000000000000000001-1−1−i32−1+i321+i321−i32
χ2933-333-3-3−3−3i32−3+3i32−3−3i32−3+3i320003+3i323−3i32000000000000000000000-111+i321−i32−1−i32−1+i3233-333-3-3−3−3i32−3+3i32−3−3i32−3+3i320003+3i323−3i32000000000000000000000-111+i321−i32−1−i32−1+i32
χ30666-3-3-3-3000003-30003-303-303-3000000000000000000666-3-3-3-3000003-30003-303-303-3000000000000000000
χ31666-3-3-3-300003-30003-303-303-30000000000000000000666-3-3-3-300003-30003-303-303-30000000000000000000
χ32666-3-3-3-30000-30300-303-303-303000000000000000000666-3-3-3-30000-30300-303-303-303000000000000000000
χ3366-6-3-333000003-30003-30-330-3300000000000000000066-6-3-333000003-30003-30-330-33000000000000000000
χ3466-6-3-33300003-30003-30-330-33000000000000000000066-6-3-33300003-30003-30-330-330000000000000000000
χ3566-6-3-3330000-30300-30330-330-300000000000000000066-6-3-3330000-30300-30330-330-3000000000000000000
χ366-606-600−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000006-606-600−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000
χ376-606-600−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000006-606-600−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000
χ386-60-333i3−3i3000003-3000-332i3−i3−i3−2i3i3i30000000000000000006-60-333i3−3i3000003-3000-332i3−i3−i3−2i3i3i3000000000000000000
χ396-60-333i3−3i300003-3000-330−i3−i32i3i3i3−2i30000000000000000006-60-333i3−3i300003-3000-330−i3−i32i3i3i3−2i3000000000000000000
χ406-60-333i3−3i30000-3030030-3−i32i3−i3i3−2i3i30000000000000000006-60-333i3−3i30000-3030030-3−i32i3−i3i3−2i3i3000000000000000000
χ416-60-33−3i33i3000003-3000-33−2i3i3i32i3−i3−i30000000000000000006-60-33−3i33i3000003-3000-33−2i3i3i32i3−i3−i3000000000000000000
χ426-60-33−3i33i300003-3000-330i3i3−2i3−i3−i32i30000000000000000006-60-33−3i33i300003-3000-330i3i3−2i3−i3−i32i3000000000000000000
χ436-60-33−3i33i30000-3030030-3i3−2i3i3−i32i3−i30000000000000000006-60-33−3i33i30000-3030030-3i3−2i3i3−i32i3−i3000000000000000000
χ441111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ451111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ4611-111-1-11111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-11-1-111-1-1-1-1-1-1-111-1-1-1111111-1-111-1-1-1-11111-11-1-111
χ4711-111-1-11111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-11-1-111-1-1-1-1-1-1-111-1-1-1111111-1-111-1-1-1-111111-111-1-1
χ482222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000
χ4922222222222-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2-2-2-2111-2-2111111111-2-2-2-211111111000000
χ5022222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12-12-122-1-1000000-2-2-2-2-2-2-2-2-2-2-2111-2-21111111111111-21-21-2-211000000
χ5122222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-1-122000000-2-2-2-2-2-2-2-2-2-2-2111-2-211111111111111-21-211-2-2000000
χ5222-222-2-22222222-2-2222-2-2-2-2-2-2-1-111-1-1-1-11111000000-2-22-2-222-2-2-2-2-2-2-222-2-2-222222211-1-11111-1-1-1-1000000
χ5322-222-2-22222-1-1-1-2-2-1-1-111111122-2-2-1-1-1-11111000000-2-22-2-222-2-2-2-211122111-1-1-1-1-1-1-2-2221111-1-1-1-1000000
χ5422-222-2-22222-1-1-1-2-2-1-1-1111111-1-1112-12-1-2-211000000-2-22-2-222-2-2-2-211122111-1-1-1-1-1-111-1-1-21-2122-1-1000000
χ5522-222-2-22222-1-1-1-2-2-1-1-1111111-1-111-12-1211-2-2000000-2-22-2-222-2-2-2-211122111-1-1-1-1-1-111-1-11-21-2-1-122000000
χ562-202-20022-2-222200-2-2-20000002-20022-2-20000000000-220-2200-2-222-2-2-200222000000-2200-2-2220000000000
χ572-202-20022-2-222200-2-2-2000000-11i3−i3-1-111i3−i3i3−i3000000-220-2200-2-222-2-2-2002220000001-1−i3i311-1-1−i3i3−i3i3000000
χ582-202-20022-2-222200-2-2-2000000-11−i3i3-1-111−i3i3−i3i3000000-220-2200-2-222-2-2-2002220000001-1i3−i311-1-1i3−i3i3−i3000000
χ592-202-20022-2-2-1-1-100111i3i3i3−i3−i3−i32-200-1-111i3−i3−i3i3000000-220-2200-2-22211100-1-1-1−i3−i3−i3i3i3i3-220011-1-1−i3i3i3−i3000000
χ602-202-20022-2-2-1-1-100111i3i3i3−i3−i3−i3-11i3−i3-121-2−i3i300000000-220-2200-2-22211100-1-1-1−i3−i3−i3i3i3i31-1−i3i31-2-12i3−i300000000
χ612-202-20022-2-2-1-1-100111i3i3i3−i3−i3−i3-11−i3i32-1-2100i3−i3000000-220-2200-2-22211100-1-1-1−i3−i3−i3i3i3i31-1i3−i3-212-100−i3i3000000
χ622-202-20022-2-2-1-1-100111−i3−i3−i3i3i3i32-200-1-111−i3i3i3−i3000000-220-2200-2-22211100-1-1-1i3i3i3−i3−i3−i3-220011-1-1i3−i3−i3i3000000
χ632-202-20022-2-2-1-1-100111−i3−i3−i3i3i3i3-11i3−i32-1-2100−i3i3000000-220-2200-2-22211100-1-1-1i3i3i3−i3−i3−i31-1−i3i3-212-100i3−i3000000
χ642-202-20022-2-2-1-1-100111−i3−i3−i3i3i3i3-11−i3i3-121-2i3−i300000000-220-2200-2-22211100-1-1-1i3i3i3−i3−i3−i31-1i3−i31-2-12−i3i300000000
χ653333333−3+3i32−3−3i32−3+3i32−3−3i32000−3+3i32−3−3i3200000000000000000000011−1+i32−1−i32−1+i32−1−i32-3-3-3-3-3-3-33−3i323+3i323−3i323+3i320003−3i323+3i32000000000000000000000-1-11−i321+i321−i321+i32
χ663333333−3+3i32−3−3i32−3+3i32−3−3i32000−3+3i32−3−3i32000000000000000000000-1-11−i321+i321−i321+i32-3-3-3-3-3-3-33−3i323+3i323−3i323+3i320003−3i323+3i3200000000000000000000011−1+i32−1−i32−1+i32−1−i32
χ673333333−3−3i32−3+3i32−3−3i32−3+3i32000−3−3i32−3+3i3200000000000000000000011−1−i32−1+i32−1−i32−1+i32-3-3-3-3-3-3-33+3i323−3i323+3i323−3i320003+3i323−3i32000000000000000000000-1-11+i321−i321+i321−i32
χ683333333−3−3i32−3+3i32−3−3i32−3+3i32000−3−3i32−3+3i32000000000000000000000-1-11+i321−i321+i321−i32-3-3-3-3-3-3-33+3i323−3i323+3i323−3i320003+3i323−3i3200000000000000000000011−1−i32−1+i32−1−i32−1+i32
χ6933-333-3-3−3+3i32−3−3i32−3+3i32−3−3i320003−3i323+3i320000000000000000000001-1−1+i32−1−i321−i321+i32-3-33-3-3333−3i323+3i323−3i323+3i32000−3+3i32−3−3i32000000000000000000000-111−i321+i32−1+i32−1−i32
χ7033-333-3-3−3+3i32−3−3i32−3+3i32−3−3i320003−3i323+3i32000000000000000000000-111−i321+i32−1+i32−1−i32-3-33-3-3333−3i323+3i323−3i323+3i32000−3+3i32−3−3i320000000000000000000001-1−1+i32−1−i321−i321+i32
χ7133-333-3-3−3−3i32−3+3i32−3−3i32−3+3i320003+3i323−3i320000000000000000000001-1−1−i32−1+i321+i321−i32-3-33-3-3333+3i323−3i323+3i323−3i32000−3−3i32−3+3i32000000000000000000000-111+i321−i32−1−i32−1+i32
χ7233-333-3-3−3−3i32−3+3i32−3−3i32−3+3i320003+3i323−3i32000000000000000000000-111+i321−i32−1−i32−1+i32-3-33-3-3333+3i323−3i323+3i323−3i32000−3−3i32−3+3i320000000000000000000001-1−1−i32−1+i321+i321−i32
χ73666-3-3-3-3000003-30003-303-303-3000000000000000000-6-6-6333300000-33000-330-330-33000000000000000000
χ74666-3-3-3-300003-30003-303-303-30000000000000000000-6-6-633330000-33000-330-330-330000000000000000000
χ75666-3-3-3-30000-30300-303-303-303000000000000000000-6-6-63333000030-30030-330-330-3000000000000000000
χ7666-6-3-333000003-30003-30-330-33000000000000000000-6-6633-3-300000-33000-3303-303-3000000000000000000
χ7766-6-3-33300003-30003-30-330-330000000000000000000-6-6633-3-30000-33000-3303-303-30000000000000000000
χ7866-6-3-3330000-30300-30330-330-3000000000000000000-6-6633-3-3000030-30030-3-303-303000000000000000000
χ796-606-600−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000-660-66003−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000
χ806-606-600−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000-660-66003+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000
χ816-60-333i3−3i3000003-3000-332i3−i3−i3−2i3i3i3000000000000000000-6603-3−3i33i300000-330003-3−2i3i3i32i3−i3−i3000000000000000000
χ826-60-333i3−3i300003-3000-330−i3−i32i3i3i3−2i3000000000000000000-6603-3−3i33i30000-330003-30i3i3−2i3−i3−i32i3000000000000000000
χ836-60-333i3−3i30000-3030030-3−i32i3−i3i3−2i3i3000000000000000000-6603-3−3i33i3000030-300-303i3−2i3i3−i32i3−i3000000000000000000
χ846-60-33−3i33i3000003-3000-33−2i3i3i32i3−i3−i3000000000000000000-6603-33i3−3i300000-330003-32i3−i3−i3−2i3i3i3000000000000000000
χ856-60-33−3i33i300003-3000-330i3i3−2i3−i3−i32i3000000000000000000-6603-33i3−3i30000-330003-30−i3−i32i3i3i3−2i3000000000000000000
χ866-60-33−3i33i30000-3030030-3i3−2i3i3−i32i3−i3000000000000000000-6603-33i3−3i3000030-300-303−i32i3−i3i3−2i3i3000000000000000000

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