Finite Group Databasebeta

← Group #13048683

Character table — Group #13048683

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11111122266666666666666661818181818182222224441212121212121212121212121212121236363636363633333366618181818181818181818181818181818545454545454
order1233664121233336666121212121212121222666636336612121233336666121212121212121266666622666641212666666661212121212121212226666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1
χ3111111-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1
χ4111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111
χ52222222222-1-1-12-1-1-122-1-1-1-1-1-10000002222222222-1-1-12-1-1-122-1-1-1-1-1-10000002222222222-1-1-12-1-1-122-1-1-1-1-1-1000000
χ6222222222-12-1-1-12-1-1-1-122-1-1-1-1000000222222222-12-1-1-12-1-1-1-122-1-1-1-1000000222222222-12-1-1-12-1-1-1-122-1-1-1-1000000
χ7222222222-1-12-1-1-12-1-1-1-1-122-1-1000000222222222-1-12-1-1-12-1-1-1-1-122-1-1000000222222222-1-12-1-1-12-1-1-1-1-122-1-1000000
χ8222222222-1-1-12-1-1-12-1-1-1-1-1-122000000222222222-1-1-12-1-1-12-1-1-1-1-1-122000000222222222-1-1-12-1-1-12-1-1-1-1-1-122000000
χ9222222-2-2-22-1-1-12-1-1-1-2-2111111000000222222-2-2-22-1-1-12-1-1-1-2-2111111000000222222-2-2-22-1-1-12-1-1-1-2-2111111000000
χ10222222-2-2-2-12-1-1-12-1-111-2-21111000000222222-2-2-2-12-1-1-12-1-111-2-21111000000222222-2-2-2-12-1-1-12-1-111-2-21111000000
χ11222222-2-2-2-1-12-1-1-12-11111-2-211000000222222-2-2-2-1-12-1-1-12-11111-2-211000000222222-2-2-2-1-12-1-1-12-11111-2-211000000
χ12222222-2-2-2-1-1-12-1-1-12111111-2-2000000222222-2-2-2-1-1-12-1-1-12111111-2-2000000222222-2-2-2-1-1-12-1-1-12111111-2-2000000
χ132-222-2-20002222-2-2-2-2000000000000002-222-2-20002222-2-2-2-2000000000000002-222-2-20002222-2-2-2-200000000000000
χ142-222-2-20002-1-1-1-2111003−33−33−30000002-222-2-20002-1-1-1-2111003−33−33−30000002-222-2-20002-1-1-1-2111003−33−33−3000000
χ152-222-2-20002-1-1-1-211100−33−33−330000002-222-2-20002-1-1-1-211100−33−33−330000002-222-2-20002-1-1-1-211100−33−33−33000000
χ162-222-2-2000-12-1-11-2113−3003−3−330000002-222-2-2000-12-1-11-2113−3003−3−330000002-222-2-2000-12-1-11-2113−3003−3−33000000
χ172-222-2-2000-12-1-11-211−3300−333−30000002-222-2-2000-12-1-11-211−3300−333−30000002-222-2-2000-12-1-11-211−3300−333−3000000
χ182-222-2-2000-1-12-111-213−3−33003−30000002-222-2-2000-1-12-111-213−3−33003−30000002-222-2-2000-1-12-111-213−3−33003−3000000
χ192-222-2-2000-1-12-111-21−333−300−330000002-222-2-2000-1-12-111-21−333−300−330000002-222-2-2000-1-12-111-21−333−300−33000000
χ202-222-2-2000-1-1-12111-23−33−3−33000000002-222-2-2000-1-1-12111-23−33−3−33000000002-222-2-2000-1-1-12111-23−33−3−3300000000
χ212-222-2-2000-1-1-12111-2−33−333−3000000002-222-2-2000-1-1-12111-2−33−333−3000000002-222-2-2000-1-1-12111-2−33−333−300000000
χ2233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000000000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000000000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000000000000011−1−i32−1+i32−1−i32−1+i32
χ2333−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i320000000000000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i320000000000000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i320000000000000000-1-11+i321−i321+i321−i32
χ2433−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3200000000000000001-1−1−i32−1+i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3200000000000000001-1−1−i32−1+i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3200000000000000001-1−1−i32−1+i321+i321−i32
χ2533−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i320000000000000000-111+i321−i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i320000000000000000-111+i321−i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i320000000000000000-111+i321−i32−1−i32−1+i32
χ2633−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32000000000000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32000000000000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32000000000000000011−1+i32−1−i32−1+i32−1−i32
χ2733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i320000000000000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i320000000000000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i320000000000000000-1-11−i321+i321−i321+i32
χ2833−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3200000000000000001-1−1+i32−1−i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3200000000000000001-1−1+i32−1−i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3200000000000000001-1−1+i32−1−i321−i321+i32
χ2933−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i320000000000000000-111−i321+i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i320000000000000000-111−i321+i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i320000000000000000-111−i321+i32−1+i32−1−i32
χ306-6−3−3i3−3+3i33+3i33−3i300000000000000000000000006-6−3−3i3−3+3i33+3i33−3i300000000000000000000000006-6−3−3i3−3+3i33+3i33−3i30000000000000000000000000
χ316-6−3+3i3−3−3i33−3i33+3i300000000000000000000000006-6−3+3i3−3−3i33−3i33+3i300000000000000000000000006-6−3+3i3−3−3i33−3i33+3i30000000000000000000000000
χ3211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ331111111111111111111111111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ34111111-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-11-1-111
χ35111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111-111-1-1
χ362222222222-1-1-12-1-1-122-1-1-1-1-1-10000002222222222-1-1-12-1-1-122-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2-2-2111-2111-2-2111111000000
χ37222222222-12-1-1-12-1-1-1-122-1-1-1-1000000222222222-12-1-1-12-1-1-1-122-1-1-1-1000000-2-2-2-2-2-2-2-2-21-2111-21111-2-21111000000
χ38222222222-1-12-1-1-12-1-1-1-1-122-1-1000000222222222-1-12-1-1-12-1-1-1-1-122-1-1000000-2-2-2-2-2-2-2-2-211-2111-211111-2-211000000
χ39222222222-1-1-12-1-1-12-1-1-1-1-1-122000000222222222-1-1-12-1-1-12-1-1-1-1-1-122000000-2-2-2-2-2-2-2-2-2111-2111-2111111-2-2000000
χ40222222-2-2-22-1-1-12-1-1-1-2-2111111000000222222-2-2-22-1-1-12-1-1-1-2-2111111000000-2-2-2-2-2-2222-2111-211122-1-1-1-1-1-1000000
χ41222222-2-2-2-12-1-1-12-1-111-2-21111000000222222-2-2-2-12-1-1-12-1-111-2-21111000000-2-2-2-2-2-22221-2111-211-1-122-1-1-1-1000000
χ42222222-2-2-2-1-12-1-1-12-11111-2-211000000222222-2-2-2-1-12-1-1-12-11111-2-211000000-2-2-2-2-2-222211-2111-21-1-1-1-122-1-1000000
χ43222222-2-2-2-1-1-12-1-1-12111111-2-2000000222222-2-2-2-1-1-12-1-1-12111111-2-2000000-2-2-2-2-2-2222111-2111-2-1-1-1-1-1-122000000
χ442-222-2-20002222-2-2-2-2000000000000002-222-2-20002222-2-2-2-200000000000000-22-2-222000-2-2-2-2222200000000000000
χ452-222-2-20002-1-1-1-2111003−33−33−30000002-222-2-20002-1-1-1-2111003−33−33−3000000-22-2-222000-21112-1-1-100−33−33−33000000
χ462-222-2-20002-1-1-1-211100−33−33−330000002-222-2-20002-1-1-1-211100−33−33−33000000-22-2-222000-21112-1-1-1003−33−33−3000000
χ472-222-2-2000-12-1-11-2113−3003−3−330000002-222-2-2000-12-1-11-2113−3003−3−33000000-22-2-2220001-211-12-1-1−3300−333−3000000
χ482-222-2-2000-12-1-11-211−3300−333−30000002-222-2-2000-12-1-11-211−3300−333−3000000-22-2-2220001-211-12-1-13−3003−3−33000000
χ492-222-2-2000-1-12-111-213−3−33003−30000002-222-2-2000-1-12-111-213−3−33003−3000000-22-2-22200011-21-1-12-1−333−300−33000000
χ502-222-2-2000-1-12-111-21−333−300−330000002-222-2-2000-1-12-111-21−333−300−33000000-22-2-22200011-21-1-12-13−3−33003−3000000
χ512-222-2-2000-1-1-12111-23−33−3−33000000002-222-2-2000-1-1-12111-23−33−3−3300000000-22-2-222000111-2-1-1-12−33−333−300000000
χ522-222-2-2000-1-1-12111-2−33−333−3000000002-222-2-2000-1-1-12111-2−33−333−300000000-22-2-222000111-2-1-1-123−33−3−3300000000
χ5333−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000000000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000000000000011−1−i32−1+i32−1−i32−1+i32-3-33+3i323−3i323+3i323−3i32-33+3i323−3i320000000000000000-1-11+i321−i321+i321−i32
χ5433−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i320000000000000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i320000000000000000-1-11+i321−i321+i321−i32-3-33+3i323−3i323+3i323−3i32-33+3i323−3i32000000000000000011−1−i32−1+i32−1−i32−1+i32
χ5533−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3200000000000000001-1−1−i32−1+i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3200000000000000001-1−1−i32−1+i321+i321−i32-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i320000000000000000-111+i321−i32−1−i32−1+i32
χ5633−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i320000000000000000-111+i321−i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i320000000000000000-111+i321−i32−1−i32−1+i32-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i3200000000000000001-1−1−i32−1+i321+i321−i32
χ5733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32000000000000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32000000000000000011−1+i32−1−i32−1+i32−1−i32-3-33−3i323+3i323−3i323+3i32-33−3i323+3i320000000000000000-1-11−i321+i321−i321+i32
χ5833−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i320000000000000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i320000000000000000-1-11−i321+i321−i321+i32-3-33−3i323+3i323−3i323+3i32-33−3i323+3i32000000000000000011−1+i32−1−i32−1+i32−1−i32
χ5933−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3200000000000000001-1−1+i32−1−i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3200000000000000001-1−1+i32−1−i321−i321+i32-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i320000000000000000-111−i321+i32−1+i32−1−i32
χ6033−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i320000000000000000-111−i321+i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i320000000000000000-111−i321+i32−1+i32−1−i32-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i3200000000000000001-1−1+i32−1−i321−i321+i32
χ616-6−3−3i3−3+3i33+3i33−3i300000000000000000000000006-6−3−3i3−3+3i33+3i33−3i30000000000000000000000000-663+3i33−3i3−3−3i3−3+3i30000000000000000000000000
χ626-6−3+3i3−3−3i33−3i33+3i300000000000000000000000006-6−3+3i3−3−3i33−3i33+3i30000000000000000000000000-663−3i33+3i3−3+3i3−3−3i30000000000000000000000000
χ632222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000
χ642222222222222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111110000000000000000000000000000000
χ65222222-2-2-222222222-2-2-2-2-2-2-2-22-222-2-2-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-11-1-1110000000000000000000000000000000
χ66222222-2-2-222222222-2-2-2-2-2-2-2-2-22-2-222-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111-111-1-10000000000000000000000000000000
χ674444444444-2-2-24-2-2-244-2-2-2-2-2-2000000-2-2-2-2-2-2-2-2-2-2111-2111-2-21111110000000000000000000000000000000000000
χ68444444444-24-2-2-24-2-2-2-244-2-2-2-2000000-2-2-2-2-2-2-2-2-21-2111-21111-2-211110000000000000000000000000000000000000
χ69444444444-2-24-2-2-24-2-2-2-2-244-2-2000000-2-2-2-2-2-2-2-2-211-2111-211111-2-2110000000000000000000000000000000000000
χ70444444444-2-2-24-2-2-24-2-2-2-2-2-244000000-2-2-2-2-2-2-2-2-2111-2111-2111111-2-20000000000000000000000000000000000000
χ71444444-4-4-44-2-2-24-2-2-2-4-4222222000000-2-2-2-2-2-2222-2111-211122-1-1-1-1-1-10000000000000000000000000000000000000
χ72444444-4-4-4-24-2-2-24-2-222-4-42222000000-2-2-2-2-2-22221-2111-211-1-122-1-1-1-10000000000000000000000000000000000000
χ73444444-4-4-4-2-24-2-2-24-22222-4-422000000-2-2-2-2-2-222211-2111-21-1-1-1-122-1-10000000000000000000000000000000000000
χ74444444-4-4-4-2-2-24-2-2-24222222-4-4000000-2-2-2-2-2-2222111-2111-2-1-1-1-1-1-1220000000000000000000000000000000000000
χ754-444-4-40004444-4-4-4-400000000000000-22-2-222000-2-2-2-22222000000000000000000000000000000000000000000000
χ764-444-4-40004-2-2-2-42220023−2323−2323−23000000-22-2-222000-21112-1-1-100−33−33−330000000000000000000000000000000000000
χ774-444-4-40004-2-2-2-422200−2323−2323−2323000000-22-2-222000-21112-1-1-1003−33−33−30000000000000000000000000000000000000
χ784-444-4-4000-24-2-22-42223−230023−23−2323000000-22-2-2220001-211-12-1-1−3300−333−30000000000000000000000000000000000000
χ794-444-4-4000-24-2-22-422−232300−232323−23000000-22-2-2220001-211-12-1-13−3003−3−330000000000000000000000000000000000000
χ804-444-4-4000-2-24-222-4223−23−23230023−23000000-22-2-22200011-21-1-12-1−333−300−330000000000000000000000000000000000000
χ814-444-4-4000-2-24-222-42−232323−2300−2323000000-22-2-22200011-21-1-12-13−3−33003−30000000000000000000000000000000000000
χ824-444-4-4000-2-2-24222-423−2323−23−232300000000-22-2-222000111-2-1-1-12−33−333−3000000000000000000000000000000000000000
χ834-444-4-4000-2-2-24222-4−2323−232323−2300000000-22-2-222000111-2-1-1-123−33−3−33000000000000000000000000000000000000000
χ8466−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i3000000000000000022−1−i3−1+i3−1−i3−1+i3-3-33+3i323−3i323+3i323−3i32-33+3i323−3i320000000000000000-1-11+i321−i321+i321−i320000000000000000000000000000000
χ8566−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i30000000000000000-2-21+i31−i31+i31−i3-3-33+3i323−3i323+3i323−3i32-33+3i323−3i32000000000000000011−1−i32−1+i32−1−i32−1+i320000000000000000000000000000000
χ8666−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i300000000000000002-2−1−i3−1+i31+i31−i3-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i320000000000000000-111+i321−i32−1−i32−1+i320000000000000000000000000000000
χ8766−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i30000000000000000-221+i31−i3−1−i3−1+i3-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i3200000000000000001-1−1−i32−1+i321+i321−i320000000000000000000000000000000
χ8866−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i3000000000000000022−1+i3−1−i3−1+i3−1−i3-3-33−3i323+3i323−3i323+3i32-33−3i323+3i320000000000000000-1-11−i321+i321−i321+i320000000000000000000000000000000
χ8966−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i30000000000000000-2-21−i31+i31−i31+i3-3-33−3i323+3i323−3i323+3i32-33−3i323+3i32000000000000000011−1+i32−1−i32−1+i32−1−i320000000000000000000000000000000
χ9066−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i300000000000000002-2−1+i3−1−i31−i31+i3-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i320000000000000000-111−i321+i32−1+i32−1−i320000000000000000000000000000000
χ9166−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i30000000000000000-221−i31+i3−1+i3−1−i3-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i3200000000000000001-1−1+i32−1−i321−i321+i320000000000000000000000000000000
χ9212-12−6−6i3−6+6i36+6i36−6i30000000000000000000000000-663+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000
χ9312-12−6+6i3−6−6i36−6i36+6i30000000000000000000000000-663−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000

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