Finite Group Databasebeta

← Group #72221993

Character table — Group #72221993

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size12222336666691212121818181818181818181818181818181827273636363636363636363636365454545454545454545454818181818181162162162162162162
order133333333333233333366669999999996633399999999966181818181818181818226666666666
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1111111-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-1-1
χ4111111111111-1111111-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1111
χ511111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ611111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32
χ711111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-11−1+i32−1−i321−1+i32−1−i32-1-1-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321+i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321+i32-1-1-11−i321−i321−i321+i321+i321+i321-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32
χ811111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-11−1+i32−1−i321−1+i32−1−i32-1-1-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321+i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32
χ911111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ1011111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32
χ1111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-11−1−i32−1+i321−1−i32−1+i32-1-1-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i32-1-1-11+i321+i321+i321−i321−i321−i321-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32
χ1211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-11−1−i32−1+i321−1−i32−1+i32-1-1-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32
χ132222222222220222-1-1-1000022222222200-1-1-1-1-1-1-1-1-1-1-1-100000000000020022000-1-1-1
χ142222222222220222-1-1-1000022222222200-1-1-1-1-1-1-1-1-1-1-1-1000000000000-200-2-2000111
χ1522222222222222222222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1000000000000
χ16222222222222-2222222-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-2-2111111111000000000000
χ1722222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i302−1+i3−1−i3-11−i321+i320000222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000200−1+i3−1−i3000-11−i321+i32
χ1822222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i302−1+i3−1−i3-11−i321+i320000222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000-2001−i31+i30001−1+i32−1−i32
χ1922222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i322−1+i3−1−i32−1+i3−1−i32222-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1−i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000000
χ2022222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i3-22−1+i3−1−i32−1+i3−1−i3-2-2-2-2-1-1-11−i321−i321−i321+i321+i321+i321−i31+i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i321−i31+i3111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000
χ2122222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i302−1−i3−1+i3-11+i321−i320000222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000200−1−i3−1+i3000-11+i321−i32
χ2222222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i302−1−i3−1+i3-11+i321−i320000222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000-2001+i31−i30001−1−i32−1+i32
χ2322222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i322−1−i3−1+i32−1−i3−1+i32222-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1+i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000000
χ2422222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i3-22−1−i3−1+i32−1−i3−1+i3-2-2-2-2-1-1-11+i321+i321+i321−i321−i321−i321+i31−i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i321+i31−i3111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000
χ252-1-1-1222-1-12222-1-1-1222-1-1-122-1-12-1-12-1-122-1-1-12-1-12-1-12-1-1-1-12-1-12-1-12-1-1000000000000
χ262-1-1-1222-1-12222-1-1-1222-1-1-12-12-1-12-1-12-122-1-1-1-12-1-12-1-12-1-1-1-12-1-12-1-12-1000000000000
χ272-1-1-1222-1-12222-1-1-1222-1-1-12-1-12-1-12-1-1222-1-1-1-1-12-1-12-1-12-1-1-1-12-1-12-1-12000000000000
χ282-1-1-1222-1-1222-2-1-1-1222111-22-1-12-1-12-1-1-2-2-1-1-12-1-12-1-12-1-111-211-211-211000000000000
χ292-1-1-1222-1-1222-2-1-1-1222111-2-12-1-12-1-12-1-2-2-1-1-1-12-1-12-1-12-1111-211-211-21000000000000
χ302-1-1-1222-1-1222-2-1-1-1222111-2-1-12-1-12-1-12-2-2-1-1-1-1-12-1-12-1-121111-211-211-2000000000000
χ312-1-1-12−1+i3−1−i31−i321+i322−1+i3−1−i32-11−i321+i322−1+i3−1−i3-1-1-122-1-1−1+i31−i321−i32−1−i31+i321+i32−1+i3−1−i3-11−i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i321−i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32000000000000
χ322-1-1-12−1+i3−1−i31−i321+i322−1+i3−1−i32-11−i321+i322−1+i3−1−i3-1-1-12-12-11−i32−1+i31−i321+i32−1−i31+i32−1+i3−1−i3-11−i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i321−i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32000000000000
χ332-1-1-12−1+i3−1−i31−i321+i322−1+i3−1−i32-11−i321+i322−1+i3−1−i3-1-1-12-1-121−i321−i32−1+i31+i321+i32−1−i3−1+i3−1−i3-11−i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i31−i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3000000000000
χ342-1-1-12−1+i3−1−i31−i321+i322−1+i3−1−i3-2-11−i321+i322−1+i3−1−i3111-22-1-1−1+i31−i321−i32−1−i31+i321+i321−i31+i3-11−i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32−1+i32−1−i32-2111−i3−1+i32−1+i321+i3−1−i32−1−i32000000000000
χ352-1-1-12−1+i3−1−i31−i321+i322−1+i3−1−i3-2-11−i321+i322−1+i3−1−i3111-2-12-11−i32−1+i31−i321+i32−1−i31+i321−i31+i3-11−i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32−1+i32−1−i321-21−1+i321−i3−1+i32−1−i321+i3−1−i32000000000000
χ362-1-1-12−1+i3−1−i31−i321+i322−1+i3−1−i3-2-11−i321+i322−1+i3−1−i3111-2-1-121−i321−i32−1+i31+i321+i32−1−i31−i31+i3-11−i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3−1+i32−1−i3211-2−1+i32−1+i321−i3−1−i32−1−i321+i3000000000000
χ372-1-1-12−1−i3−1+i31+i321−i322−1−i3−1+i32-11+i321−i322−1−i3−1+i3-1-1-122-1-1−1−i31+i321+i32−1+i31−i321−i32−1−i3−1+i3-11+i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i321+i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32000000000000
χ382-1-1-12−1−i3−1+i31+i321−i322−1−i3−1+i32-11+i321−i322−1−i3−1+i3-1-1-12-12-11+i32−1−i31+i321−i32−1+i31−i32−1−i3−1+i3-11+i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i321+i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32000000000000
χ392-1-1-12−1−i3−1+i31+i321−i322−1−i3−1+i32-11+i321−i322−1−i3−1+i3-1-1-12-1-121+i321+i32−1−i31−i321−i32−1+i3−1−i3−1+i3-11+i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i31+i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3000000000000
χ402-1-1-12−1−i3−1+i31+i321−i322−1−i3−1+i3-2-11+i321−i322−1−i3−1+i3111-22-1-1−1−i31+i321+i32−1+i31−i321−i321+i31−i3-11+i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32−1−i32−1+i32-2111+i3−1−i32−1−i321−i3−1+i32−1+i32000000000000
χ412-1-1-12−1−i3−1+i31+i321−i322−1−i3−1+i3-2-11+i321−i322−1−i3−1+i3111-2-12-11+i32−1−i31+i321−i32−1+i31−i321+i31−i3-11+i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32−1−i32−1+i321-21−1−i321+i3−1−i32−1+i321−i3−1+i32000000000000
χ422-1-1-12−1−i3−1+i31+i321−i322−1−i3−1+i3-2-11+i321−i322−1−i3−1+i3111-2-1-121+i321+i32−1−i31−i321−i32−1+i31+i31−i3-11+i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3−1−i32−1+i3211-2−1−i32−1−i321+i3−1+i32−1+i321−i3000000000000
χ434444444444440444-2-2-20000-2-2-2-2-2-2-2-2-200-2-2-211111111100000000000000000000000
χ4444444−2+2i3−2−2i3−2+2i3−2−2i34−2+2i3−2−2i304−2+2i3−2−2i3-21−i31+i30000-2-2-21−i31−i31−i31+i31+i31+i300-21−i31+i3111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200000000000000000000000
χ4544444−2−2i3−2+2i3−2−2i3−2+2i34−2−2i3−2+2i304−2−2i3−2+2i3-21+i31−i30000-2-2-21+i31+i31+i31−i31−i31−i300-21+i31−i3111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000000000000000000000
χ464-2-2-2444-2-24440-2-2-2-2-2-200004-2-24-2-24-2-200111-211-211-21100000000000000000000000
χ474-2-2-2444-2-24440-2-2-2-2-2-20000-24-2-24-2-24-2001111-211-211-2100000000000000000000000
χ484-2-2-2444-2-24440-2-2-2-2-2-20000-2-24-2-24-2-240011111-211-211-200000000000000000000000
χ494-2-2-24−2+2i3−2−2i31−i31+i34−2+2i3−2−2i30-21−i31+i3-21−i31+i300004-2-2−2+2i31−i31−i3−2−2i31+i31+i3001−1+i32−1−i32-2111−i3−1+i32−1+i321+i3−1−i32−1−i3200000000000000000000000
χ504-2-2-24−2+2i3−2−2i31−i31+i34−2+2i3−2−2i30-21−i31+i3-21−i31+i30000-24-21−i3−2+2i31−i31+i3−2−2i31+i3001−1+i32−1−i321-21−1+i321−i3−1+i32−1−i321+i3−1−i3200000000000000000000000
χ514-2-2-24−2+2i3−2−2i31−i31+i34−2+2i3−2−2i30-21−i31+i3-21−i31+i30000-2-241−i31−i3−2+2i31+i31+i3−2−2i3001−1+i32−1−i3211-2−1+i32−1+i321−i3−1−i32−1−i321+i300000000000000000000000
χ524-2-2-24−2−2i3−2+2i31+i31−i34−2−2i3−2+2i30-21+i31−i3-21+i31−i300004-2-2−2−2i31+i31+i3−2+2i31−i31−i3001−1−i32−1+i32-2111+i3−1−i32−1−i321−i3−1+i32−1+i3200000000000000000000000
χ534-2-2-24−2−2i3−2+2i31+i31−i34−2−2i3−2+2i30-21+i31−i3-21+i31−i30000-24-21+i3−2−2i31+i31−i3−2+2i31−i3001−1−i32−1+i321-21−1−i321+i3−1−i32−1+i321−i3−1+i3200000000000000000000000
χ544-2-2-24−2−2i3−2+2i31+i31−i34−2−2i3−2+2i30-21+i31−i3-21+i31−i30000-2-241+i31+i3−2−2i31−i31−i3−2+2i3001−1−i32−1+i3211-2−1−i32−1−i321+i3−1+i32−1+i321−i300000000000000000000000
χ55666666666-3-3-30-3-3-300000000000000000000000000000000000000000202200-1-1-1000
χ56666666666-3-3-30-3-3-300000000000000000000000000000000000000000-20-2-200111000
χ5766666−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i320-33−3i323+3i320000000000000000000000000000000000000000020−1+i3−1−i300-11−i321+i32000
χ5866666−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i320-33−3i323+3i3200000000000000000000000000000000000000000-201−i31+i3001−1+i32−1−i32000
χ5966666−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i320-33+3i323−3i320000000000000000000000000000000000000000020−1−i3−1+i300-11+i321−i32000
χ6066666−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i320-33+3i323−3i3200000000000000000000000000000000000000000-201+i31−i3001−1−i32−1+i32000
χ6112-6-6-6121212-6-6-6-6-6033300000000000000000000000000000000000000000000000000000
χ6212-6-6-612−6+6i3−6−6i33−3i33+3i3-63−3i33+3i303−3+3i32−3−3i3200000000000000000000000000000000000000000000000000000
χ6312-6-6-612−6−6i3−6+6i33+3i33−3i3-63+3i33−3i303−3−3i32−3+3i3200000000000000000000000000000000000000000000000000000
χ641818-9-9-9000000060000006-3-3-30000000000000000000000000000000000000000000000
χ651818-9-9-90000000-6000000-63330000000000000000000000000000000000000000000000
χ6618-918-9-900000006000000-36-3-30000000000000000000000000000000000000000000000
χ6718-918-9-90000000-60000003-6330000000000000000000000000000000000000000000000
χ6818-9-918-900000006000000-3-36-30000000000000000000000000000000000000000000000
χ6918-9-918-90000000-600000033-630000000000000000000000000000000000000000000000

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