Finite Group Databasebeta

← Group #11721787

Character table — Group #11721787

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73
size1111112222222224444446666666666666666121212121212121212121212121212121212121212121212363636363636363636363636
order123366244661212121288242424243333666612121212121212126666121212122424242424242424242424242424242422246666661212
χ11111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111-1-11-1-1-1-1111-111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ6111111-1-11-1-1-1-1111-111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ7111111-1-11-1-1-1-111-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111
χ8111111-1-11-1-1-1-111-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1
χ92222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ10222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ11222222222222222222222-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ12222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ13222222222222222-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111000000000000
χ14222222222222222-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-12-1-111-2-2111111-2-21111000000000000
χ15222222222222222-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-12-11111-2-2111111-2-211000000000000
χ16222222222222222-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-12111111-2-2111111-2-2000000000000
χ172222222-2-222-2-2-2-200000022222222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000
χ182222222-2-222-2-2-2-20000002-1-1-12-1-1-1-2-21111112-1-1-1-2111003−33−33−3003−33−33−3000000000000
χ192222222-2-222-2-2-2-20000002-1-1-12-1-1-1-2-21111112-1-1-1-211100−33−33−3300−33−33−33000000000000
χ202222222-2-222-2-2-2-2000000-12-1-1-12-1-111-2-21111-12-1-11-2113−3003−3−333−3003−3−33000000000000
χ212222222-2-222-2-2-2-2000000-12-1-1-12-1-111-2-21111-12-1-11-211−3300−333−3−3300−333−3000000000000
χ222222222-2-222-2-2-2-2000000-1-12-1-1-12-11111-2-211-1-12-111-213−3−33003−33−3−33003−3000000000000
χ232222222-2-222-2-2-2-2000000-1-12-1-1-12-11111-2-211-1-12-111-21−333−300−33−333−300−33000000000000
χ242222222-2-222-2-2-2-2000000-1-1-12-1-1-12111111-2-2-1-1-12111-23−33−3−33003−33−3−3300000000000000
χ252222222-2-222-2-2-2-2000000-1-1-12-1-1-12111111-2-2-1-1-12111-2−33−333−300−33−333−300000000000000
χ26222222-22-2-2-222-2-200000022222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000
χ27222222-22-2-2-222-2-20000002-1-1-12-1-1-1-2-2111111-21112-1-1-1003−33−33−300−33−33−33000000000000
χ28222222-22-2-2-222-2-20000002-1-1-12-1-1-1-2-2111111-21112-1-1-100−33−33−33003−33−33−3000000000000
χ29222222-22-2-2-222-2-2000000-12-1-1-12-1-111-2-211111-211-12-1-13−3003−3−33−3300−333−3000000000000
χ30222222-22-2-2-222-2-2000000-12-1-1-12-1-111-2-211111-211-12-1-1−3300−333−33−3003−3−33000000000000
χ31222222-22-2-2-222-2-2000000-1-12-1-1-12-11111-2-21111-21-1-12-13−3−33003−3−333−300−33000000000000
χ32222222-22-2-2-222-2-2000000-1-12-1-1-12-11111-2-21111-21-1-12-1−333−300−333−3−33003−3000000000000
χ33222222-22-2-2-222-2-2000000-1-1-12-1-1-12111111-2-2111-2-1-1-123−33−3−3300−33−333−300000000000000
χ34222222-22-2-2-222-2-2000000-1-1-12-1-1-12111111-2-2111-2-1-1-12−33−333−3003−33−3−3300000000000000
χ35222222-2-22-2-2-2-2222-222-2-22-1-1-12-1-1-122-1-1-1-1-1-1-2111-211122-1-1-1-1-1-1-2-2111111000000000000
χ36222222-2-22-2-2-2-2222-222-2-2-12-1-1-12-1-1-1-122-1-1-1-11-2111-211-1-122-1-1-1-111-2-21111000000000000
χ37222222-2-22-2-2-2-2222-222-2-2-1-12-1-1-12-1-1-1-1-122-1-111-2111-21-1-1-1-122-1-11111-2-211000000000000
χ38222222-2-22-2-2-2-2222-222-2-2-1-1-12-1-1-12-1-1-1-1-1-122111-2111-2-1-1-1-1-1-122111111-2-2000000000000
χ39222222-2-22-2-2-2-222-22-2-2222-1-1-12-1-1-122-1-1-1-1-1-1-2111-2111-2-211111122-1-1-1-1-1-1000000000000
χ40222222-2-22-2-2-2-222-22-2-222-12-1-1-12-1-1-1-122-1-1-1-11-2111-21111-2-21111-1-122-1-1-1-1000000000000
χ41222222-2-22-2-2-2-222-22-2-222-1-12-1-1-12-1-1-1-1-122-1-111-2111-211111-2-211-1-1-1-122-1-1000000000000
χ42222222-2-22-2-2-2-222-22-2-222-1-1-12-1-1-12-1-1-1-1-1-122111-2111-2111111-2-2-1-1-1-1-1-122000000000000
χ4333−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000000000000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ4433−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000000000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ4533−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32000000000000000000000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ4633−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i320000000000000000000000000000000000000000-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ4733−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i323-3−3−3i32−3+3i323+3i323−3i3200000000000000000000000000000000000000001-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ4833−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i323-3−3−3i32−3+3i323+3i323−3i320000000000000000000000000000000000000000-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ4933−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i32-333+3i323−3i32−3−3i32−3+3i3200000000000000000000000000000000000000001-1-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ5033−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i32-333+3i323−3i32−3−3i32−3+3i320000000000000000000000000000000000000000-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ5133−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000000000000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ5233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i320000000000000000000000000000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ5333−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32000000000000000000000000000000000000000011-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ5433−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i320000000000000000000000000000000000000000-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ5533−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i323-3−3+3i32−3−3i323−3i323+3i3200000000000000000000000000000000000000001-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ5633−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i323-3−3+3i32−3−3i323−3i323+3i320000000000000000000000000000000000000000-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ5733−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i32-333−3i323+3i32−3+3i32−3−3i3200000000000000000000000000000000000000001-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ5833−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i32-333−3i323+3i32−3+3i32−3−3i320000000000000000000000000000000000000000-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ594-444-4-40000000000000004444-4-4-4-400000000000000000000000000000000000000000000
χ604-444-4-40000000000000004-2-2-2-42220023−2323−2323−23000000000000000000000000000000000000
χ614-444-4-40000000000000004-2-2-2-422200−2323−2323−2323000000000000000000000000000000000000
χ624-444-4-4000000000000000-24-2-22-42223−230023−23−2323000000000000000000000000000000000000
χ634-444-4-4000000000000000-24-2-22-422−232300−232323−23000000000000000000000000000000000000
χ644-444-4-4000000000000000-2-24-222-4223−23−23230023−23000000000000000000000000000000000000
χ654-444-4-4000000000000000-2-24-222-42−232323−2300−2323000000000000000000000000000000000000
χ664-444-4-4000000000000000-2-2-24222-423−2323−23−232300000000000000000000000000000000000000
χ674-444-4-4000000000000000-2-2-24222-4−2323−232323−2300000000000000000000000000000000000000
χ6866−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000
χ6966−3−3i3−3+3i3−3−3i3−3+3i3-66-63+3i33−3i3−3−3i3−3+3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000
χ7066−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000
χ7166−3+3i3−3−3i3−3+3i3−3−3i3-66-63−3i33+3i3−3+3i3−3−3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000
χ7212-12−6−6i3−6+6i36+6i36−6i30000000000000000000000000000000000000000000000000000000000000000000
χ7312-12−6+6i3−6−6i36−6i36+6i30000000000000000000000000000000000000000000000000000000000000000000

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