Finite Group Databasebeta

← Group #13049289

Character table — Group #13049289

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111222333666666666666666242424242424242424545454545454111222333666666666666666242424242424242424545454545454
order1333332663336666666666663333333332466121226666626666666666666666666666666624661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1
χ3222222222222222222222222-1-1-1-1-1-1-1-1-1000000222222222222222222222222-1-1-1-1-1-1-1-1-1000000
χ4222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000
χ5222222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1000000222222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1000000
χ6222222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000222222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000
χ7222-1-1-12222-1-1-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-1000000222-1-1-12222-1-1-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-1000000
χ8222-1-1-12222-1-1-1-1-1222-1-1-1-1-1-1-12-1-12-1-12-1000000222-1-1-12222-1-1-1-1-1222-1-1-1-1-1-1-12-1-12-1-12-1000000
χ9222-1-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-12-1-12000000222-1-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-12-1-12000000
χ10222-1-1-1222-12-1-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-12000000222-1-1-1222-12-1-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-12000000
χ11222-1-1-1222-12-1-1-1-1-1-1-1222-1-1-1-12-1-1-122-1-1000000222-1-1-1222-12-1-1-1-1-1-1-1222-1-1-1-12-1-1-122-1-1000000
χ12222-1-1-1222-12-1-1-1-1-1-1-1222-1-1-1-1-122-1-1-12-1000000222-1-1-1222-12-1-1-1-1-1-1-1222-1-1-1-1-122-1-1-12-1000000
χ13222-1-1-1222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-12-12-1000000222-1-1-1222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-12-12-1000000
χ14222-1-1-1222-1-12-1-1-1-1-1-1-1-1-1222-12-12-1-1-1-12000000222-1-1-1222-1-12-1-1-1-1-1-1-1-1-1222-12-12-1-1-1-12000000
χ15222-1-1-1222-1-12-1-1-1-1-1-1-1-1-1222-1-12-12-12-1-1000000222-1-1-1222-1-12-1-1-1-1-1-1-1-1-1222-1-12-12-12-1-1000000
χ16333333-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-10000000001-111-1-1333333-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-10000000001-111-1-1
χ17333333-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1000000000-11-1-111333333-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1000000000-11-1-111
χ183−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320003−3+3i32−3−3i3200000000000000000011−1+i32−1−i32−1+i32−1−i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320003−3+3i32−3−3i3200000000000000000011−1+i32−1−i32−1+i32−1−i32
χ193−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320003−3+3i32−3−3i32000000000000000000-1-11−i321+i321−i321+i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320003−3+3i32−3−3i32000000000000000000-1-11−i321+i321−i321+i32
χ203−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000-11−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30000000001-1−1+i32−1−i321−i321+i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000-11−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30000000001-1−1+i32−1−i321−i321+i32
χ213−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000-11−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000-111−i321+i32−1+i32−1−i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000-11−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000-111−i321+i32−1+i32−1−i32
χ223−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320003−3−3i32−3+3i3200000000000000000011−1−i32−1+i32−1−i32−1+i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320003−3−3i32−3+3i3200000000000000000011−1−i32−1+i32−1−i32−1+i32
χ233−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320003−3−3i32−3+3i32000000000000000000-1-11+i321−i321+i321−i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320003−3−3i32−3+3i32000000000000000000-1-11+i321−i321+i321−i32
χ243−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000-11+i321−i322−1−i3−1+i32−1−i3−1+i32−1−i3−1+i30000000001-1−1−i32−1+i321+i321−i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000-11+i321−i322−1−i3−1+i32−1−i3−1+i32−1−i3−1+i30000000001-1−1−i32−1+i321+i321−i32
χ253−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000-11+i321−i322−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000-111+i321−i32−1−i32−1+i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000-11+i321−i322−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000-111+i321−i32−1−i32−1+i32
χ26666666-2-2-2-3-3-3-2-2-2111111111000000000000000666666-2-2-2-3-3-3-2-2-2111111111000000000000000
χ27666-3-3-3-2-2-26-3-3111-2-2-2111111000000000000000666-3-3-3-2-2-26-3-3111-2-2-2111111000000000000000
χ28666-3-3-3-2-2-2-36-3111111-2-2-2111000000000000000666-3-3-3-2-2-2-36-3111111-2-2-2111000000000000000
χ29666-3-3-3-2-2-2-3-36111111111-2-2-2000000000000000666-3-3-3-2-2-2-3-36111111111-2-2-2000000000000000
χ306−3+3i3−3−3i36−3+3i3−3−3i3-21−i31+i3000-21−i31+i3-21−i31+i3-21−i31+i3-21−i31+i30000000000000006−3+3i3−3−3i36−3+3i3−3−3i3-21−i31+i3000-21−i31+i3-21−i31+i3-21−i31+i3-21−i31+i3000000000000000
χ316−3+3i3−3−3i3-33−3i323+3i326−3+3i3−3−3i3000-33−3i323+3i320000000000000000000000006−3+3i3−3−3i3-33−3i323+3i326−3+3i3−3−3i3000-33−3i323+3i32000000000000000000000000
χ326−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30001−1+i32−1−i324−2+2i3−2−2i3-21−i31+i3-21−i31+i30000000000000006−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30001−1+i32−1−i324−2+2i3−2−2i3-21−i31+i3-21−i31+i3000000000000000
χ336−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30001−1+i32−1−i32-21−i31+i34−2+2i3−2−2i3-21−i31+i30000000000000006−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30001−1+i32−1−i32-21−i31+i34−2+2i3−2−2i3-21−i31+i3000000000000000
χ346−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30001−1+i32−1−i32-21−i31+i3-21−i31+i34−2+2i3−2−2i30000000000000006−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30001−1+i32−1−i32-21−i31+i3-21−i31+i34−2+2i3−2−2i3000000000000000
χ356−3−3i3−3+3i36−3−3i3−3+3i3-21+i31−i3000-21+i31−i3-21+i31−i3-21+i31−i3-21+i31−i30000000000000006−3−3i3−3+3i36−3−3i3−3+3i3-21+i31−i3000-21+i31−i3-21+i31−i3-21+i31−i3-21+i31−i3000000000000000
χ366−3−3i3−3+3i3-33+3i323−3i326−3−3i3−3+3i3000-33+3i323−3i320000000000000000000000006−3−3i3−3+3i3-33+3i323−3i326−3−3i3−3+3i3000-33+3i323−3i32000000000000000000000000
χ376−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30001−1−i32−1+i324−2−2i3−2+2i3-21+i31−i3-21+i31−i30000000000000006−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30001−1−i32−1+i324−2−2i3−2+2i3-21+i31−i3-21+i31−i3000000000000000
χ386−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30001−1−i32−1+i32-21+i31−i34−2−2i3−2+2i3-21+i31−i30000000000000006−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30001−1−i32−1+i32-21+i31−i34−2−2i3−2+2i3-21+i31−i3000000000000000
χ396−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30001−1−i32−1+i32-21+i31−i3-21+i31−i34−2−2i3−2+2i30000000000000006−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30001−1−i32−1+i32-21+i31−i3-21+i31−i34−2−2i3−2+2i3000000000000000
χ40111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ42222222222222222222222222-1-1-1-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111000000
χ43222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2-2111-2-2-2111111111-2-2-2111111000000
χ44222222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1000000-2-2-2-2-2-2-2-2-2111-2-2-2111111111111-2-2-2111000000
χ45222222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000-2-2-2-2-2-2-2-2-2111-2-2-2111111111111111-2-2-2000000
χ46222-1-1-12222-1-1-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-1000000-2-2-2111-2-2-2-211111-2-2-2111111-211-211-211000000
χ47222-1-1-12222-1-1-1-1-1222-1-1-1-1-1-1-12-1-12-1-12-1000000-2-2-2111-2-2-2-211111-2-2-21111111-211-211-21000000
χ48222-1-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-12-1-12000000-2-2-2111-2-2-2-211111-2-2-211111111-211-211-2000000
χ49222-1-1-1222-12-1-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-12000000-2-2-2111-2-2-21-21111111-2-2-2111-2111-2111-2000000
χ50222-1-1-1222-12-1-1-1-1-1-1-1222-1-1-1-12-1-1-122-1-1000000-2-2-2111-2-2-21-21111111-2-2-21111-2111-2-211000000
χ51222-1-1-1222-12-1-1-1-1-1-1-1222-1-1-1-1-122-1-1-12-1000000-2-2-2111-2-2-21-21111111-2-2-211111-2-2111-21000000
χ52222-1-1-1222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-12-12-1000000-2-2-2111-2-2-211-2111111111-2-2-2-21111-21-21000000
χ53222-1-1-1222-1-12-1-1-1-1-1-1-1-1-1222-12-12-1-1-1-12000000-2-2-2111-2-2-211-2111111111-2-2-21-21-21111-2000000
χ54222-1-1-1222-1-12-1-1-1-1-1-1-1-1-1222-1-12-12-12-1-1000000-2-2-2111-2-2-211-2111111111-2-2-211-21-21-211000000
χ55333333-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-10000000001-111-1-1-3-3-3-3-3-3111-3-3-3111111111111000000000-11-1-111
χ56333333-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1000000000-11-1-111-3-3-3-3-3-3111-3-3-31111111111110000000001-111-1-1
χ573−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320003−3+3i32−3−3i3200000000000000000011−1+i32−1−i32−1+i32−1−i32-33−3i323+3i32-33−3i323+3i32-33−3i323+3i32000-33−3i323+3i32000000000000000000-1-11−i321+i321−i321+i32
χ583−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320003−3+3i32−3−3i32000000000000000000-1-11−i321+i321−i321+i32-33−3i323+3i32-33−3i323+3i32-33−3i323+3i32000-33−3i323+3i3200000000000000000011−1+i32−1−i32−1+i32−1−i32
χ593−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000-11−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30000000001-1−1+i32−1−i321−i321+i32-33−3i323+3i32-33−3i323+3i321−1+i32−1−i320001−1+i32−1−i32-21−i31+i3-21−i31+i3-21−i31+i3000000000-111−i321+i32−1+i32−1−i32
χ603−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000-11−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000-111−i321+i32−1+i32−1−i32-33−3i323+3i32-33−3i323+3i321−1+i32−1−i320001−1+i32−1−i32-21−i31+i3-21−i31+i3-21−i31+i30000000001-1−1+i32−1−i321−i321+i32
χ613−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320003−3−3i32−3+3i3200000000000000000011−1−i32−1+i32−1−i32−1+i32-33+3i323−3i32-33+3i323−3i32-33+3i323−3i32000-33+3i323−3i32000000000000000000-1-11+i321−i321+i321−i32
χ623−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320003−3−3i32−3+3i32000000000000000000-1-11+i321−i321+i321−i32-33+3i323−3i32-33+3i323−3i32-33+3i323−3i32000-33+3i323−3i3200000000000000000011−1−i32−1+i32−1−i32−1+i32
χ633−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000-11+i321−i322−1−i3−1+i32−1−i3−1+i32−1−i3−1+i30000000001-1−1−i32−1+i321+i321−i32-33+3i323−3i32-33+3i323−3i321−1−i32−1+i320001−1−i32−1+i32-21+i31−i3-21+i31−i3-21+i31−i3000000000-111+i321−i32−1−i32−1+i32
χ643−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000-11+i321−i322−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000-111+i321−i32−1−i32−1+i32-33+3i323−3i32-33+3i323−3i321−1−i32−1+i320001−1−i32−1+i32-21+i31−i3-21+i31−i3-21+i31−i30000000001-1−1−i32−1+i321+i321−i32
χ65666666-2-2-2-3-3-3-2-2-2111111111000000000000000-6-6-6-6-6-6222333222-1-1-1-1-1-1-1-1-1000000000000000
χ66666-3-3-3-2-2-26-3-3111-2-2-2111111000000000000000-6-6-6333222-633-1-1-1222-1-1-1-1-1-1000000000000000
χ67666-3-3-3-2-2-2-36-3111111-2-2-2111000000000000000-6-6-63332223-63-1-1-1-1-1-1222-1-1-1000000000000000
χ68666-3-3-3-2-2-2-3-36111111111-2-2-2000000000000000-6-6-633322233-6-1-1-1-1-1-1-1-1-1222000000000000000
χ696−3+3i3−3−3i36−3+3i3−3−3i3-21−i31+i3000-21−i31+i3-21−i31+i3-21−i31+i3-21−i31+i3000000000000000-63−3i33+3i3-63−3i33+3i32−1+i3−1−i30002−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000000000
χ706−3+3i3−3−3i3-33−3i323+3i326−3+3i3−3−3i3000-33−3i323+3i32000000000000000000000000-63−3i33+3i33−3+3i32−3−3i32-63−3i33+3i30003−3+3i32−3−3i32000000000000000000000000
χ716−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30001−1+i32−1−i324−2+2i3−2−2i3-21−i31+i3-21−i31+i3000000000000000-63−3i33+3i33−3+3i32−3−3i322−1+i3−1−i3000-11−i321+i32-42−2i32+2i32−1+i3−1−i32−1+i3−1−i3000000000000000
χ726−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30001−1+i32−1−i32-21−i31+i34−2+2i3−2−2i3-21−i31+i3000000000000000-63−3i33+3i33−3+3i32−3−3i322−1+i3−1−i3000-11−i321+i322−1+i3−1−i3-42−2i32+2i32−1+i3−1−i3000000000000000
χ736−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30001−1+i32−1−i32-21−i31+i3-21−i31+i34−2+2i3−2−2i3000000000000000-63−3i33+3i33−3+3i32−3−3i322−1+i3−1−i3000-11−i321+i322−1+i3−1−i32−1+i3−1−i3-42−2i32+2i3000000000000000
χ746−3−3i3−3+3i36−3−3i3−3+3i3-21+i31−i3000-21+i31−i3-21+i31−i3-21+i31−i3-21+i31−i3000000000000000-63+3i33−3i3-63+3i33−3i32−1−i3−1+i30002−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000000000
χ756−3−3i3−3+3i3-33+3i323−3i326−3−3i3−3+3i3000-33+3i323−3i32000000000000000000000000-63+3i33−3i33−3−3i32−3+3i32-63+3i33−3i30003−3−3i32−3+3i32000000000000000000000000
χ766−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30001−1−i32−1+i324−2−2i3−2+2i3-21+i31−i3-21+i31−i3000000000000000-63+3i33−3i33−3−3i32−3+3i322−1−i3−1+i3000-11+i321−i32-42+2i32−2i32−1−i3−1+i32−1−i3−1+i3000000000000000
χ776−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30001−1−i32−1+i32-21+i31−i34−2−2i3−2+2i3-21+i31−i3000000000000000-63+3i33−3i33−3−3i32−3+3i322−1−i3−1+i3000-11+i321−i322−1−i3−1+i3-42+2i32−2i32−1−i3−1+i3000000000000000
χ786−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30001−1−i32−1+i32-21+i31−i3-21+i31−i34−2−2i3−2+2i3000000000000000-63+3i33−3i33−3−3i32−3+3i322−1−i3−1+i3000-11+i321−i322−1−i3−1+i32−1−i3−1+i3-42+2i32−2i3000000000000000

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