Finite Group Databasebeta

← Group #88739

Character table — Group #88739

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111122266666666666666661818181818181111112226666666666666666181818181818
order1233664121233336666121212121212121222666622666641212666666661212121212121212226666
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1
χ3111111-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1
χ4111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111
χ52222222222-1-1-12-1-1-122-1-1-1-1-1-10000002222222222-1-1-12-1-1-122-1-1-1-1-1-1000000
χ6222222222-12-1-1-12-1-1-1-122-1-1-1-1000000222222222-12-1-1-12-1-1-1-122-1-1-1-1000000
χ7222222222-1-12-1-1-12-1-1-1-1-122-1-1000000222222222-1-12-1-1-12-1-1-1-1-122-1-1000000
χ8222222222-1-1-12-1-1-12-1-1-1-1-1-122000000222222222-1-1-12-1-1-12-1-1-1-1-1-122000000
χ9222222-2-2-22-1-1-12-1-1-1-2-2111111000000222222-2-2-22-1-1-12-1-1-1-2-2111111000000
χ10222222-2-2-2-12-1-1-12-1-111-2-21111000000222222-2-2-2-12-1-1-12-1-111-2-21111000000
χ11222222-2-2-2-1-12-1-1-12-11111-2-211000000222222-2-2-2-1-12-1-1-12-11111-2-211000000
χ12222222-2-2-2-1-1-12-1-1-12111111-2-2000000222222-2-2-2-1-1-12-1-1-12111111-2-2000000
χ132-222-2-20002222-2-2-2-2000000000000002-222-2-20002222-2-2-2-200000000000000
χ142-222-2-20002-1-1-1-2111003−33−33−30000002-222-2-20002-1-1-1-2111003−33−33−3000000
χ152-222-2-20002-1-1-1-211100−33−33−330000002-222-2-20002-1-1-1-211100−33−33−33000000
χ162-222-2-2000-12-1-11-2113−3003−3−330000002-222-2-2000-12-1-11-2113−3003−3−33000000
χ172-222-2-2000-12-1-11-211−3300−333−30000002-222-2-2000-12-1-11-211−3300−333−3000000
χ182-222-2-2000-1-12-111-213−3−33003−30000002-222-2-2000-1-12-111-213−3−33003−3000000
χ192-222-2-2000-1-12-111-21−333−300−330000002-222-2-2000-1-12-111-21−333−300−33000000
χ202-222-2-2000-1-1-12111-23−33−3−33000000002-222-2-2000-1-1-12111-23−33−3−3300000000
χ212-222-2-2000-1-1-12111-2−33−333−3000000002-222-2-2000-1-1-12111-2−33−333−300000000
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+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−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−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+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−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+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+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−i32
χ306-6−3−3i3−3+3i33+3i33−3i300000000000000000000000006-6−3−3i3−3+3i33+3i33−3i30000000000000000000000000
χ316-6−3+3i3−3−3i33−3i33+3i300000000000000000000000006-6−3+3i3−3−3i33−3i33+3i30000000000000000000000000
χ321111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ331111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ34111111-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-11-1-111
χ35111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111-111-1-1
χ362222222222-1-1-12-1-1-122-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2-2-2111-2111-2-2111111000000
χ37222222222-12-1-1-12-1-1-1-122-1-1-1-1000000-2-2-2-2-2-2-2-2-21-2111-21111-2-21111000000
χ38222222222-1-12-1-1-12-1-1-1-1-122-1-1000000-2-2-2-2-2-2-2-2-211-2111-211111-2-211000000
χ39222222222-1-1-12-1-1-12-1-1-1-1-1-122000000-2-2-2-2-2-2-2-2-2111-2111-2111111-2-2000000
χ40222222-2-2-22-1-1-12-1-1-1-2-2111111000000-2-2-2-2-2-2222-2111-211122-1-1-1-1-1-1000000
χ41222222-2-2-2-12-1-1-12-1-111-2-21111000000-2-2-2-2-2-22221-2111-211-1-122-1-1-1-1000000
χ42222222-2-2-2-1-12-1-1-12-11111-2-211000000-2-2-2-2-2-222211-2111-21-1-1-1-122-1-1000000
χ43222222-2-2-2-1-1-12-1-1-12111111-2-2000000-2-2-2-2-2-2222111-2111-2-1-1-1-1-1-122000000
χ442-222-2-20002222-2-2-2-200000000000000-22-2-222000-2-2-2-2222200000000000000
χ452-222-2-20002-1-1-1-2111003−33−33−3000000-22-2-222000-21112-1-1-100−33−33−33000000
χ462-222-2-20002-1-1-1-211100−33−33−33000000-22-2-222000-21112-1-1-1003−33−33−3000000
χ472-222-2-2000-12-1-11-2113−3003−3−33000000-22-2-2220001-211-12-1-1−3300−333−3000000
χ482-222-2-2000-12-1-11-211−3300−333−3000000-22-2-2220001-211-12-1-13−3003−3−33000000
χ492-222-2-2000-1-12-111-213−3−33003−3000000-22-2-22200011-21-1-12-1−333−300−33000000
χ502-222-2-2000-1-12-111-21−333−300−33000000-22-2-22200011-21-1-12-13−3−33003−3000000
χ512-222-2-2000-1-1-12111-23−33−3−3300000000-22-2-222000111-2-1-1-12−33−333−300000000
χ522-222-2-2000-1-1-12111-2−33−333−300000000-22-2-222000111-2-1-1-123−33−3−3300000000
χ5333−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000000000000011−1−i32−1+i32−1−i32−1+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−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−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+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−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+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+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−i32-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i3200000000000000001-1−1+i32−1−i321−i321+i32
χ616-6−3−3i3−3+3i33+3i33−3i30000000000000000000000000-663+3i33−3i3−3−3i3−3+3i30000000000000000000000000
χ626-6−3+3i3−3−3i33−3i33+3i30000000000000000000000000-663−3i33+3i3−3+3i3−3−3i30000000000000000000000000

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