Finite Group Databasebeta

← Group #13173192

Character table — Group #13173192

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1222236666666666666666666666161632323232323232323610814414412222366666666666666666666661616323232323232323236108144144
order133332226666666666666666666633333333332466266662226666666666666666666666666666662466
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111-1-1-1-1
χ31111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i321111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32
χ41111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i321111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i32
χ51111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i321111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32
χ61111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i321111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i32
χ722-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-1000022-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-10000
χ822-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i32000022-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i320000
χ922-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i32000022-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i320000
χ102-12-1-1222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-122-12-1-1-12-1-100002-12-1-1222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-122-12-1-1-12-1-10000
χ112-12-1-1222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1−1+i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i3200002-12-1-1222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1−1+i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i320000
χ122-12-1-1222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1−1−i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i3200002-12-1-1222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1−1−i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i320000
χ132-1-12-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-122-1-12-1-1-12-100002-1-12-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-122-1-12-1-1-12-10000
χ142-1-12-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1−1+i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i3200002-1-12-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1−1+i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i320000
χ152-1-12-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1−1−i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i3200002-1-12-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1−1−i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i320000
χ162-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-12-1-1-1200002-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-12-1-1-120000
χ172-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222−1+i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i300002-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222−1+i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i30000
χ182-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222−1−i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i300002-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222−1−i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i30000
χ19333333-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-100000000003-100333333-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-100000000003-100
χ20333333-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-10000000000-3100333333-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-10000000000-3100
χ2166666-22-2-222-2-2-222-2-2-222-2-2-222-2-20000000000000066666-22-2-222-2-2-222-2-2-222-2-2-222-2-200000000000000
χ2266666-2-22-2-2-222-2-2-222-2-2-222-2-2-2220000000000000066666-2-22-2-2-222-2-2-222-2-2-222-2-2-22200000000000000
χ2366-3-3-36-2-26-2-2-2-2-31111-31111-311110000000000000066-3-3-36-2-26-2-2-2-2-31111-31111-3111100000000000000
χ2466-3-3-3-22-2-222-2-21−1+2i3−1−2i3111−1+2i3−1−2i3111−1+2i3−1−2i3110000000000000066-3-3-3-22-2-222-2-21−1+2i3−1−2i3111−1+2i3−1−2i3111−1+2i3−1−2i31100000000000000
χ2566-3-3-3-22-2-222-2-21−1−2i3−1+2i3111−1−2i3−1+2i3111−1−2i3−1+2i3110000000000000066-3-3-3-22-2-222-2-21−1−2i3−1+2i3111−1−2i3−1+2i3111−1−2i3−1+2i31100000000000000
χ2666-3-3-3-2-22-2-2-222111−1+2i3−1−2i3111−1+2i3−1−2i3111−1+2i3−1−2i30000000000000066-3-3-3-2-22-2-2-222111−1+2i3−1−2i3111−1+2i3−1−2i3111−1+2i3−1−2i300000000000000
χ2766-3-3-3-2-22-2-2-222111−1−2i3−1+2i3111−1−2i3−1+2i3111−1−2i3−1+2i30000000000000066-3-3-3-2-22-2-2-222111−1−2i3−1+2i3111−1−2i3−1+2i3111−1−2i3−1+2i300000000000000
χ286-36-3-36-2-2-311116-2-2-2-2-31111-31111000000000000006-36-3-36-2-2-311116-2-2-2-2-31111-3111100000000000000
χ296-36-3-3-22-21−1+2i3−1−2i311-222-2-21−1+2i3−1−2i3111−1−2i3−1+2i311000000000000006-36-3-3-22-21−1+2i3−1−2i311-222-2-21−1+2i3−1−2i3111−1−2i3−1+2i31100000000000000
χ306-36-3-3-22-21−1−2i3−1+2i311-222-2-21−1−2i3−1+2i3111−1+2i3−1−2i311000000000000006-36-3-3-22-21−1−2i3−1+2i311-222-2-21−1−2i3−1+2i3111−1+2i3−1−2i31100000000000000
χ316-36-3-3-2-22111−1+2i3−1−2i3-2-2-222111−1+2i3−1−2i3111−1−2i3−1+2i3000000000000006-36-3-3-2-22111−1+2i3−1−2i3-2-2-222111−1+2i3−1−2i3111−1−2i3−1+2i300000000000000
χ326-36-3-3-2-22111−1−2i3−1+2i3-2-2-222111−1−2i3−1+2i3111−1+2i3−1−2i3000000000000006-36-3-3-2-22111−1−2i3−1+2i3-2-2-222111−1−2i3−1+2i3111−1+2i3−1−2i300000000000000
χ336-3-36-36-2-2-31111-311116-2-2-2-2-31111000000000000006-3-36-36-2-2-31111-311116-2-2-2-2-3111100000000000000
χ346-3-36-3-22-21−1+2i3−1−2i3111−1−2i3−1+2i311-222-2-21−1+2i3−1−2i311000000000000006-3-36-3-22-21−1+2i3−1−2i3111−1−2i3−1+2i311-222-2-21−1+2i3−1−2i31100000000000000
χ356-3-36-3-22-21−1−2i3−1+2i3111−1+2i3−1−2i311-222-2-21−1−2i3−1+2i311000000000000006-3-36-3-22-21−1−2i3−1+2i3111−1+2i3−1−2i311-222-2-21−1−2i3−1+2i31100000000000000
χ366-3-36-3-2-22111−1+2i3−1−2i3111−1−2i3−1+2i3-2-2-222111−1+2i3−1−2i3000000000000006-3-36-3-2-22111−1+2i3−1−2i3111−1−2i3−1+2i3-2-2-222111−1+2i3−1−2i300000000000000
χ376-3-36-3-2-22111−1−2i3−1+2i3111−1+2i3−1−2i3-2-2-222111−1−2i3−1+2i3000000000000006-3-36-3-2-22111−1−2i3−1+2i3111−1+2i3−1−2i3-2-2-222111−1−2i3−1+2i300000000000000
χ386-3-3-366-2-2-31111-31111-311116-2-2-2-2000000000000006-3-3-366-2-2-31111-31111-311116-2-2-2-200000000000000
χ396-3-3-36-22-21−1+2i3−1−2i3111−1+2i3−1−2i3111−1−2i3−1+2i311-222-2-2000000000000006-3-3-36-22-21−1+2i3−1−2i3111−1+2i3−1−2i3111−1−2i3−1+2i311-222-2-200000000000000
χ406-3-3-36-22-21−1−2i3−1+2i3111−1−2i3−1+2i3111−1+2i3−1−2i311-222-2-2000000000000006-3-3-36-22-21−1−2i3−1+2i3111−1−2i3−1+2i3111−1+2i3−1−2i311-222-2-200000000000000
χ416-3-3-36-2-22111−1+2i3−1−2i3111−1+2i3−1−2i3111−1−2i3−1+2i3-2-2-222000000000000006-3-3-36-2-22111−1+2i3−1−2i3111−1+2i3−1−2i3111−1−2i3−1+2i3-2-2-22200000000000000
χ426-3-3-36-2-22111−1−2i3−1+2i3111−1−2i3−1+2i3111−1+2i3−1−2i3-2-2-222000000000000006-3-3-36-2-22111−1−2i3−1+2i3111−1−2i3−1+2i3111−1+2i3−1−2i3-2-2-22200000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ451111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321+i32
χ461111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1−i32
χ471111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321−i32
χ481111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1+i32
χ4922-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-10000-2-2111-2-2-2-2-2-2-2-2111111111111111-2-2-2111-21110000
χ5022-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i320000-2-2111-2-2-2-2-2-2-2-21111111111111111−i31+i31−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i320000
χ5122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i320000-2-2111-2-2-2-2-2-2-2-21111111111111111+i31−i31+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i320000
χ522-12-1-1222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-122-12-1-1-12-1-10000-21-211-2-2-211111-2-2-2-2-21111111111-2-21-2111-2110000
χ532-12-1-1222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1−1+i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i320000-21-211-2-2-211111-2-2-2-2-211111111111−i31+i3−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i320000
χ542-12-1-1222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1−1−i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i320000-21-211-2-2-211111-2-2-2-2-211111111111+i31−i3−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i320000
χ552-1-12-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-122-1-12-1-1-12-10000-211-21-2-2-21111111111-2-2-2-2-211111-2-211-2111-210000
χ562-1-12-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1−1+i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i320000-211-21-2-2-21111111111-2-2-2-2-2111111−i31+i3−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i320000
χ572-1-12-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1−1−i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i320000-211-21-2-2-21111111111-2-2-2-2-2111111+i31−i3−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i320000
χ582-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-12-1-1-120000-2111-2-2-2-2111111111111111-2-2-2-2-2-2-2111-2111-20000
χ592-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222−1+i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i30000-2111-2-2-2-2111111111111111-2-2-2-2-21−i31+i3−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i30000
χ602-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222−1−i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i30000-2111-2-2-2-2111111111111111-2-2-2-2-21+i31−i3−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i30000
χ61333333-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-100000000003-100-3-3-3-3-3-311-31111-31111-31111-311110000000000-3100
χ62333333-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-10000000000-3100-3-3-3-3-3-311-31111-31111-31111-3111100000000003-100
χ6366666-22-2-222-2-2-222-2-2-222-2-2-222-2-200000000000000-6-6-6-6-62-222-2-2222-2-2222-2-2222-2-22200000000000000
χ6466666-2-22-2-2-222-2-2-222-2-2-222-2-2-22200000000000000-6-6-6-6-622-2222-2-2222-2-2222-2-2222-2-200000000000000
χ6566-3-3-36-2-26-2-2-2-2-31111-31111-3111100000000000000-6-6333-622-622223-1-1-1-13-1-1-1-13-1-1-1-100000000000000
χ6666-3-3-3-22-2-222-2-21−1+2i3−1−2i3111−1+2i3−1−2i3111−1+2i3−1−2i31100000000000000-6-63332-222-2-222-11−2i31+2i3-1-1-11−2i31+2i3-1-1-11−2i31+2i3-1-100000000000000
χ6766-3-3-3-22-2-222-2-21−1−2i3−1+2i3111−1−2i3−1+2i3111−1−2i3−1+2i31100000000000000-6-63332-222-2-222-11+2i31−2i3-1-1-11+2i31−2i3-1-1-11+2i31−2i3-1-100000000000000
χ6866-3-3-3-2-22-2-2-222111−1+2i3−1−2i3111−1+2i3−1−2i3111−1+2i3−1−2i300000000000000-6-633322-2222-2-2-1-1-11−2i31+2i3-1-1-11−2i31+2i3-1-1-11−2i31+2i300000000000000
χ6966-3-3-3-2-22-2-2-222111−1−2i3−1+2i3111−1−2i3−1+2i3111−1−2i3−1+2i300000000000000-6-633322-2222-2-2-1-1-11+2i31−2i3-1-1-11+2i31−2i3-1-1-11+2i31−2i300000000000000
χ706-36-3-36-2-2-311116-2-2-2-2-31111-3111100000000000000-63-633-6223-1-1-1-1-622223-1-1-1-13-1-1-1-100000000000000
χ716-36-3-3-22-21−1+2i3−1−2i311-222-2-21−1+2i3−1−2i3111−1−2i3−1+2i31100000000000000-63-6332-22-11−2i31+2i3-1-12-2-222-11−2i31+2i3-1-1-11+2i31−2i3-1-100000000000000
χ726-36-3-3-22-21−1−2i3−1+2i311-222-2-21−1−2i3−1+2i3111−1+2i3−1−2i31100000000000000-63-6332-22-11+2i31−2i3-1-12-2-222-11+2i31−2i3-1-1-11−2i31+2i3-1-100000000000000
χ736-36-3-3-2-22111−1+2i3−1−2i3-2-2-222111−1+2i3−1−2i3111−1−2i3−1+2i300000000000000-63-63322-2-1-1-11−2i31+2i3222-2-2-1-1-11−2i31+2i3-1-1-11+2i31−2i300000000000000
χ746-36-3-3-2-22111−1−2i3−1+2i3-2-2-222111−1−2i3−1+2i3111−1+2i3−1−2i300000000000000-63-63322-2-1-1-11+2i31−2i3222-2-2-1-1-11+2i31−2i3-1-1-11−2i31+2i300000000000000
χ756-3-36-36-2-2-31111-311116-2-2-2-2-3111100000000000000-633-63-6223-1-1-1-13-1-1-1-1-622223-1-1-1-100000000000000
χ766-3-36-3-22-21−1+2i3−1−2i3111−1−2i3−1+2i311-222-2-21−1+2i3−1−2i31100000000000000-633-632-22-11−2i31+2i3-1-1-11+2i31−2i3-1-12-2-222-11−2i31+2i3-1-100000000000000
χ776-3-36-3-22-21−1−2i3−1+2i3111−1+2i3−1−2i311-222-2-21−1−2i3−1+2i31100000000000000-633-632-22-11+2i31−2i3-1-1-11−2i31+2i3-1-12-2-222-11+2i31−2i3-1-100000000000000
χ786-3-36-3-2-22111−1+2i3−1−2i3111−1−2i3−1+2i3-2-2-222111−1+2i3−1−2i300000000000000-633-6322-2-1-1-11−2i31+2i3-1-1-11+2i31−2i3222-2-2-1-1-11−2i31+2i300000000000000
χ796-3-36-3-2-22111−1−2i3−1+2i3111−1+2i3−1−2i3-2-2-222111−1−2i3−1+2i300000000000000-633-6322-2-1-1-11+2i31−2i3-1-1-11−2i31+2i3222-2-2-1-1-11+2i31−2i300000000000000
χ806-3-3-366-2-2-31111-31111-311116-2-2-2-200000000000000-6333-6-6223-1-1-1-13-1-1-1-13-1-1-1-1-6222200000000000000
χ816-3-3-36-22-21−1+2i3−1−2i3111−1+2i3−1−2i3111−1−2i3−1+2i311-222-2-200000000000000-6333-62-22-11−2i31+2i3-1-1-11−2i31+2i3-1-1-11+2i31−2i3-1-12-2-22200000000000000
χ826-3-3-36-22-21−1−2i3−1+2i3111−1−2i3−1+2i3111−1+2i3−1−2i311-222-2-200000000000000-6333-62-22-11+2i31−2i3-1-1-11+2i31−2i3-1-1-11−2i31+2i3-1-12-2-22200000000000000
χ836-3-3-36-2-22111−1+2i3−1−2i3111−1+2i3−1−2i3111−1−2i3−1+2i3-2-2-22200000000000000-6333-622-2-1-1-11−2i31+2i3-1-1-11−2i31+2i3-1-1-11+2i31−2i3222-2-200000000000000
χ846-3-3-36-2-22111−1−2i3−1+2i3111−1−2i3−1+2i3111−1+2i3−1−2i3-2-2-22200000000000000-6333-622-2-1-1-11+2i31−2i3-1-1-11+2i31−2i3-1-1-11−2i31+2i3222-2-200000000000000

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