Finite Group Databasebeta

← Group #13047427

Character table — Group #13047427

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11222223333666666666666661818181818181818181818185454545454541122222333366666666666666181818181818181818181818545454545454
order1234612123366333666121212121212121236991212181836363636226666226461212666666666612121212121212126618181212181836363636226666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1
χ3111-11-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-1111-11-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-1
χ4111-11-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111111-11-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111
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
χ622222222222-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-100000022222222222-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1000000
χ722222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-12-122-1-100000022222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-12-122-1-1000000
χ822222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12-1-1-12-1-12200000022222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12-1-1-12-1-122000000
χ9222-22-2-22222222222-2-2-2-2-2-2-2-2-1-1-1-111-1-11111000000222-22-2-22222222222-2-2-2-2-2-2-2-2-1-1-1-111-1-11111000000
χ10222-22-2-22222-1-1-1-1-1-1-2-211111122-1-1-2-2-1-11111000000222-22-2-22222-1-1-1-1-1-1-2-211111122-1-1-2-2-1-11111000000
χ11222-22-2-22222-1-1-1-1-1-1-2-2111111-1-12-1112-1-2-211000000222-22-2-22222-1-1-1-1-1-1-2-2111111-1-12-1112-1-2-211000000
χ12222-22-2-22222-1-1-1-1-1-1-2-2111111-1-1-1211-1211-2-2000000222-22-2-22222-1-1-1-1-1-1-2-2111111-1-1-1211-1211-2-2000000
χ132-220-20022-2-2222-2-2-2000000002-22200-2-200000000002-220-20022-2-2222-2-2-2000000002-22200-2-20000000000
χ142-220-20022-2-2222-2-2-200000000-11-1-13−3113−33−30000002-220-20022-2-2222-2-2-200000000-11-1-13−3113−33−3000000
χ152-220-20022-2-2222-2-2-200000000-11-1-1−3311−33−330000002-220-20022-2-2222-2-2-200000000-11-1-1−3311−33−33000000
χ162-220-20022-2-2-1-1-111100333−3−3−32-2-1-100113−3−330000002-220-20022-2-2-1-1-111100333−3−3−32-2-1-100113−3−33000000
χ172-220-20022-2-2-1-1-111100333−3−3−3-112-1−33-21003−30000002-220-20022-2-2-1-1-111100333−3−3−3-112-1−33-21003−3000000
χ182-220-20022-2-2-1-1-111100333−3−3−3-11-123−31-2−33000000002-220-20022-2-2-1-1-111100333−3−3−3-11-123−31-2−3300000000
χ192-220-20022-2-2-1-1-111100−3−3−33332-2-1-10011−333−30000002-220-20022-2-2-1-1-111100−3−3−33332-2-1-10011−333−3000000
χ202-220-20022-2-2-1-1-111100−3−3−3333-112-13−3-2100−330000002-220-20022-2-2-1-1-111100−3−3−3333-112-13−3-2100−33000000
χ212-220-20022-2-2-1-1-111100−3−3−3333-11-12−331-23−3000000002-220-20022-2-2-1-1-111100−3−3−3333-11-12−331-23−300000000
χ223333333−3−3i32−3+3i32−3−3i32−3+3i32000000−3−3i32−3+3i3200000000000000000011−1−i32−1+i32−1−i32−1+i323333333−3−3i32−3+3i32−3−3i32−3+3i32000000−3−3i32−3+3i3200000000000000000011−1−i32−1+i32−1−i32−1+i32
χ233333333−3−3i32−3+3i32−3−3i32−3+3i32000000−3−3i32−3+3i32000000000000000000-1-11+i321−i321+i321−i323333333−3−3i32−3+3i32−3−3i32−3+3i32000000−3−3i32−3+3i32000000000000000000-1-11+i321−i321+i321−i32
χ243333333−3+3i32−3−3i32−3+3i32−3−3i32000000−3+3i32−3−3i3200000000000000000011−1+i32−1−i32−1+i32−1−i323333333−3+3i32−3−3i32−3+3i32−3−3i32000000−3+3i32−3−3i3200000000000000000011−1+i32−1−i32−1+i32−1−i32
χ253333333−3+3i32−3−3i32−3+3i32−3−3i32000000−3+3i32−3−3i32000000000000000000-1-11−i321+i321−i321+i323333333−3+3i32−3−3i32−3+3i32−3−3i32000000−3+3i32−3−3i32000000000000000000-1-11−i321+i321−i321+i32
χ26333-33-3-3−3−3i32−3+3i32−3−3i32−3+3i320000003+3i323−3i320000000000000000001-1−1−i32−1+i321+i321−i32333-33-3-3−3−3i32−3+3i32−3−3i32−3+3i320000003+3i323−3i320000000000000000001-1−1−i32−1+i321+i321−i32
χ27333-33-3-3−3−3i32−3+3i32−3−3i32−3+3i320000003+3i323−3i32000000000000000000-111+i321−i32−1−i32−1+i32333-33-3-3−3−3i32−3+3i32−3−3i32−3+3i320000003+3i323−3i32000000000000000000-111+i321−i32−1−i32−1+i32
χ28333-33-3-3−3+3i32−3−3i32−3+3i32−3−3i320000003−3i323+3i320000000000000000001-1−1+i32−1−i321−i321+i32333-33-3-3−3+3i32−3−3i32−3+3i32−3−3i320000003−3i323+3i320000000000000000001-1−1+i32−1−i321−i321+i32
χ29333-33-3-3−3+3i32−3−3i32−3+3i32−3−3i320000003−3i323+3i32000000000000000000-111−i321+i32−1+i32−1−i32333-33-3-3−3+3i32−3−3i32−3+3i32−3−3i320000003−3i323+3i32000000000000000000-111−i321+i32−1+i32−1−i32
χ3066-36-3-3-3000003-303-30003-303-300000000000000000066-36-3-3-3000003-303-30003-303-3000000000000000000
χ3166-36-3-3-300003-303-30003-303-3000000000000000000066-36-3-3-300003-303-30003-303-30000000000000000000
χ3266-36-3-3-30000-303-30300-303-30300000000000000000066-36-3-3-30000-303-30300-303-303000000000000000000
χ3366-3-6-333000003-303-3000-330-3300000000000000000066-3-6-333000003-303-3000-330-33000000000000000000
χ3466-3-6-33300003-303-3000-330-33000000000000000000066-3-6-33300003-303-3000-330-330000000000000000000
χ3566-3-6-3330000-303-3030030-330-300000000000000000066-3-6-3330000-303-3030030-330-3000000000000000000
χ366-660-600−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000006-660-600−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000
χ376-660-600−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000006-660-600−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000
χ386-6-30333−33000003-30-330023−3−3−23330000000000000000006-6-30333−33000003-30-330023−3−3−2333000000000000000000
χ396-6-30333−3300003-30-33000−3−32333−230000000000000000006-6-30333−3300003-30-33000−3−32333−23000000000000000000
χ406-6-30333−330000-30330-300−323−33−2330000000000000000006-6-30333−330000-30330-300−323−33−233000000000000000000
χ416-6-303−3333000003-30-3300−233323−3−30000000000000000006-6-303−3333000003-30-3300−233323−3−3000000000000000000
χ426-6-303−333300003-30-3300033−23−3−3230000000000000000006-6-303−333300003-30-3300033−23−3−323000000000000000000
χ436-6-303−33330000-30330-3003−233−323−30000000000000000006-6-303−33330000-30330-3003−233−323−3000000000000000000
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
χ46111-11-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-11-1-111
χ47111-11-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-1-11-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111-111-1-1
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
χ4922222222222-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2-2-2-2111111-2-2111111-2-211-2-2111111000000
χ5022222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-12-122-1-1000000-2-2-2-2-2-2-2-2-2-2-2111111-2-211111111-2111-21-2-211000000
χ5122222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12-1-1-12-1-122000000-2-2-2-2-2-2-2-2-2-2-2111111-2-2111111111-2111-211-2-2000000
χ52222-22-2-22222222222-2-2-2-2-2-2-2-2-1-1-1-111-1-11111000000-2-2-22-222-2-2-2-2-2-2-2-2-2-2222222221111-1-111-1-1-1-1000000
χ53222-22-2-22222-1-1-1-1-1-1-2-211111122-1-1-2-2-1-11111000000-2-2-22-222-2-2-2-211111122-1-1-1-1-1-1-2-2112211-1-1-1-1000000
χ54222-22-2-22222-1-1-1-1-1-1-2-2111111-1-12-1112-1-2-211000000-2-2-22-222-2-2-2-211111122-1-1-1-1-1-111-21-1-1-2122-1-1000000
χ55222-22-2-22222-1-1-1-1-1-1-2-2111111-1-1-1211-1211-2-2000000-2-2-22-222-2-2-2-211111122-1-1-1-1-1-1111-2-1-11-2-1-122000000
χ562-220-20022-2-2222-2-2-2000000002-22200-2-20000000000-22-20200-2-222-2-2-222200000000-22-2-200220000000000
χ572-220-20022-2-2222-2-2-200000000-11-1-13−3113−33−3000000-22-20200-2-222-2-2-2222000000001-111−33-1-1−33−33000000
χ582-220-20022-2-2222-2-2-200000000-11-1-1−3311−33−33000000-22-20200-2-222-2-2-2222000000001-1113−3-1-13−33−3000000
χ592-220-20022-2-2-1-1-111100333−3−3−32-2-1-100113−3−33000000-22-20200-2-222111-1-1-100−3−3−3333-221100-1-1−333−3000000
χ602-220-20022-2-2-1-1-111100333−3−3−3-112-1−33-21003−3000000-22-20200-2-222111-1-1-100−3−3−33331-1-213−32-100−33000000
χ612-220-20022-2-2-1-1-111100333−3−3−3-11-123−31-2−3300000000-22-20200-2-222111-1-1-100−3−3−33331-11-2−33-123−300000000
χ622-220-20022-2-2-1-1-111100−3−3−33332-2-1-10011−333−3000000-22-20200-2-222111-1-1-100333−3−3−3-221100-1-13−3−33000000
χ632-220-20022-2-2-1-1-111100−3−3−3333-112-13−3-2100−33000000-22-20200-2-222111-1-1-100333−3−3−31-1-21−332-1003−3000000
χ642-220-20022-2-2-1-1-111100−3−3−3333-11-12−331-23−300000000-22-20200-2-222111-1-1-100333−3−3−31-11-23−3-12−3300000000
χ653333333−3−3i32−3+3i32−3−3i32−3+3i32000000−3−3i32−3+3i3200000000000000000011−1−i32−1+i32−1−i32−1+i32-3-3-3-3-3-3-33+3i323−3i323+3i323−3i320000003+3i323−3i32000000000000000000-1-11+i321−i321+i321−i32
χ663333333−3−3i32−3+3i32−3−3i32−3+3i32000000−3−3i32−3+3i32000000000000000000-1-11+i321−i321+i321−i32-3-3-3-3-3-3-33+3i323−3i323+3i323−3i320000003+3i323−3i3200000000000000000011−1−i32−1+i32−1−i32−1+i32
χ673333333−3+3i32−3−3i32−3+3i32−3−3i32000000−3+3i32−3−3i3200000000000000000011−1+i32−1−i32−1+i32−1−i32-3-3-3-3-3-3-33−3i323+3i323−3i323+3i320000003−3i323+3i32000000000000000000-1-11−i321+i321−i321+i32
χ683333333−3+3i32−3−3i32−3+3i32−3−3i32000000−3+3i32−3−3i32000000000000000000-1-11−i321+i321−i321+i32-3-3-3-3-3-3-33−3i323+3i323−3i323+3i320000003−3i323+3i3200000000000000000011−1+i32−1−i32−1+i32−1−i32
χ69333-33-3-3−3−3i32−3+3i32−3−3i32−3+3i320000003+3i323−3i320000000000000000001-1−1−i32−1+i321+i321−i32-3-3-33-3333+3i323−3i323+3i323−3i32000000−3−3i32−3+3i32000000000000000000-111+i321−i32−1−i32−1+i32
χ70333-33-3-3−3−3i32−3+3i32−3−3i32−3+3i320000003+3i323−3i32000000000000000000-111+i321−i32−1−i32−1+i32-3-3-33-3333+3i323−3i323+3i323−3i32000000−3−3i32−3+3i320000000000000000001-1−1−i32−1+i321+i321−i32
χ71333-33-3-3−3+3i32−3−3i32−3+3i32−3−3i320000003−3i323+3i320000000000000000001-1−1+i32−1−i321−i321+i32-3-3-33-3333−3i323+3i323−3i323+3i32000000−3+3i32−3−3i32000000000000000000-111−i321+i32−1+i32−1−i32
χ72333-33-3-3−3+3i32−3−3i32−3+3i32−3−3i320000003−3i323+3i32000000000000000000-111−i321+i32−1+i32−1−i32-3-3-33-3333−3i323+3i323−3i323+3i32000000−3+3i32−3−3i320000000000000000001-1−1+i32−1−i321−i321+i32
χ7366-36-3-3-3000003-303-30003-303-3000000000000000000-6-63-633300000-330-33000-330-33000000000000000000
χ7466-36-3-3-300003-303-30003-303-30000000000000000000-6-63-63330000-330-33000-330-330000000000000000000
χ7566-36-3-3-30000-303-30300-303-303000000000000000000-6-63-6333000030-330-30030-330-3000000000000000000
χ7666-3-6-333000003-303-3000-330-33000000000000000000-6-6363-3-300000-330-330003-303-3000000000000000000
χ7766-3-6-33300003-303-3000-330-330000000000000000000-6-6363-3-30000-330-330003-303-30000000000000000000
χ7866-3-6-3330000-303-3030030-330-3000000000000000000-6-6363-3-3000030-330-300-303-303000000000000000000
χ796-660-600−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000-66-606003+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000
χ806-660-600−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000-66-606003−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000
χ816-6-30333−33000003-30-330023−3−3−2333000000000000000000-6630-3−333300000-3303-300−233323−3−3000000000000000000
χ826-6-30333−3300003-30-33000−3−32333−23000000000000000000-6630-3−33330000-3303-300033−23−3−323000000000000000000
χ836-6-30333−330000-30330-300−323−33−233000000000000000000-6630-3−3333000030-3-303003−233−323−3000000000000000000
χ846-6-303−3333000003-30-3300−233323−3−3000000000000000000-6630-333−3300000-3303-30023−3−3−2333000000000000000000
χ856-6-303−333300003-30-3300033−23−3−323000000000000000000-6630-333−330000-3303-3000−3−32333−23000000000000000000
χ866-6-303−33330000-30330-3003−233−323−3000000000000000000-6630-333−33000030-3-30300−323−33−233000000000000000000

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