Finite Group Databasebeta

← Group #14516826

Character table — Group #14516826

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122224466669999999912121212121212121212181818181818181818181818272727272727272736363636545454545454545454545454818181818181
order12336636991818223344669999918181818186699991212181818186666121212129918181818181818183636363636364412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1111111111111111111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111−1−i32−1+i3211−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ411111111111111−1−i32−1+i32-1-1−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32
χ511111111111111−1+i32−1−i3211−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ611111111111111−1+i32−1−i32-1-1−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32
χ7111111111111-1-11111111111111111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ8111111111111-1-111-1-1111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ9111111111111-1-1−1−i32−1+i3211−1−i32−1+i321111111111-1-1−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ10111111111111-1-1−1−i32−1+i32-1-1−1−i32−1+i321111111111-1-1−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ11111111111111-1-1−1+i32−1−i3211−1+i32−1−i321111111111-1-1−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ12111111111111-1-1−1+i32−1−i32-1-1−1+i32−1−i321111111111-1-1−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ131-111-1-11-111-1-11-111i−i-1-111111-1-1-1-1-11-11111i−i-1-1-1-11-11-1i−ii−i11-1-11-11-11-1i−ii−ii−ii−ii−ii−i
χ141-111-1-11-111-1-11-111−ii-1-111111-1-1-1-1-11-11111−ii-1-1-1-11-11-1−ii−ii11-1-11-11-11-1−ii−ii−ii−ii−ii−ii
χ151-111-1-11-111-1-11-1−1−i32−1+i32i−i1+i321−i3211111-1-1-1-1-11-1−1−i32−1+i32−1−i32−1+i32i−i1+i321−i321+i321−i32−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ7−1−i32−1+i321+i321−i321-1−1−i321+i32−1+i321−i32i−iζ11−ζ11ζ7−ζ7i−iζ11−ζ11ζ7−ζ7
χ161-111-1-11-111-1-11-1−1−i32−1+i32−ii1+i321−i3211111-1-1-1-1-11-1−1−i32−1+i32−1−i32−1+i32−ii1+i321−i321+i321−i32−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ7−1−i32−1+i321+i321−i321-1−1−i321+i32−1+i321−i32−ii−ζ11ζ11−ζ7ζ7−ii−ζ11ζ11−ζ7ζ7
χ171-111-1-11-111-1-11-1−1+i32−1−i32i−i1−i321+i3211111-1-1-1-1-11-1−1+i32−1−i32−1+i32−1−i32i−i1−i321+i321−i321+i32−1+i321−i32−1−i321+i32ζ7−ζ7ζ11−ζ11−1+i32−1−i321−i321+i321-1−1+i321−i32−1−i321+i32i−iζ7−ζ7ζ11−ζ11i−iζ7−ζ7ζ11−ζ11
χ181-111-1-11-111-1-11-1−1+i32−1−i32−ii1−i321+i3211111-1-1-1-1-11-1−1+i32−1−i32−1+i32−1−i32−ii1−i321+i321−i321+i32−1+i321−i32−1−i321+i32−ζ7ζ7−ζ11ζ11−1+i32−1−i321−i321+i321-1−1+i321−i32−1−i321+i32−ii−ζ7ζ7−ζ11ζ11−ii−ζ7ζ7−ζ11ζ11
χ191-111-1-11-111-1-1-1111i−i-1-111111-1-1-1-1-1-111111i−i-1-1-1-1-11-11i−ii−i11-1-1-11-11-11i−ii−ii−i−ii−ii−ii
χ201-111-1-11-111-1-1-1111−ii-1-111111-1-1-1-1-1-111111−ii-1-1-1-1-11-11−ii−ii11-1-1-11-11-11−ii−ii−iii−ii−ii−i
χ211-111-1-11-111-1-1-11−1−i32−1+i32i−i1+i321−i3211111-1-1-1-1-1-11−1−i32−1+i32−1−i32−1+i32i−i1+i321−i321+i321−i321+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ7−1−i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i32i−iζ11−ζ11ζ7−ζ7−ii−ζ11ζ11−ζ7ζ7
χ221-111-1-11-111-1-1-11−1−i32−1+i32−ii1+i321−i3211111-1-1-1-1-1-11−1−i32−1+i32−1−i32−1+i32−ii1+i321−i321+i321−i321+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ7−1−i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i32−ii−ζ11ζ11−ζ7ζ7i−iζ11−ζ11ζ7−ζ7
χ231-111-1-11-111-1-1-11−1+i32−1−i32i−i1−i321+i3211111-1-1-1-1-1-11−1+i32−1−i32−1+i32−1−i32i−i1−i321+i321−i321+i321−i32−1+i321+i32−1−i32ζ7−ζ7ζ11−ζ11−1+i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i32i−iζ7−ζ7ζ11−ζ11−ii−ζ7ζ7−ζ11ζ11
χ241-111-1-11-111-1-1-11−1+i32−1−i32−ii1−i321+i3211111-1-1-1-1-1-11−1+i32−1−i32−1+i32−1−i32−ii1−i321+i321−i321+i321−i32−1+i321+i32−1−i32−ζ7ζ7−ζ11ζ11−1+i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i32−ii−ζ7ζ7−ζ11ζ11i−iζ7−ζ7ζ11−ζ11
χ25222222222-1-12222200222-1-1-1-12-1-1-1-12222-1-100-1-12222220000-1-1-1-1-1-1-1-1-1-1000000000000
χ26222222222-1-1222−1−i3−1+i300−1−i3−1+i32-1-1-1-12-1-1-1-122−1−i3−1+i31+i321−i32001+i321−i32−1−i3−1+i3−1−i3−1−i3−1+i3−1+i300001+i321−i321+i321−i32-1-11+i321+i321−i321−i32000000000000
χ27222222222-1-1222−1+i3−1−i300−1+i3−1−i32-1-1-1-12-1-1-1-122−1+i3−1−i31−i321+i32001−i321+i32−1+i3−1−i3−1+i3−1+i3−1−i3−1−i300001−i321+i321−i321+i32-1-11−i321−i321+i321+i32000000000000
χ28222222222-1-12-2-22200222-1-1-1-12-1-1-1-1-2-222-1-100-1-122-2-2-2-20000-1-1-1-1111111000000000000
χ29222222222-1-12-2-2−1−i3−1+i300−1−i3−1+i32-1-1-1-12-1-1-1-1-2-2−1−i3−1+i31+i321−i32001+i321−i32−1−i3−1+i31+i31+i31−i31−i300001+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000
χ30222222222-1-12-2-2−1+i3−1−i300−1+i3−1−i32-1-1-1-12-1-1-1-1-2-2−1+i3−1−i31−i321+i32001−i321+i32−1+i3−1−i31−i31−i31+i31+i300001−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000
χ3122222222-122-100222222-12-1-1-1-12-1-1-100-1-1222222-1-100002222-1-1-1-1000000-1-1-1-1-1-1000000
χ3222222222-122-10022-2-222-12-1-1-1-12-1-1-100-1-122-2-222-1-10000-2-2-2-2-1-1-1-1000000111111000000
χ3322222222-122-100−1−i3−1+i322−1−i3−1+i3-12-1-1-1-12-1-1-1001+i321−i32−1−i3−1+i322−1−i3−1+i31+i321−i320000−1−i3−1−i3−1+i3−1+i31+i321−i321+i321−i32000000-1-11+i321+i321−i321−i32000000
χ3422222222-122-100−1−i3−1+i3-2-2−1−i3−1+i3-12-1-1-1-12-1-1-1001+i321−i32−1−i3−1+i3-2-2−1−i3−1+i31+i321−i3200001+i31+i31−i31−i31+i321−i321+i321−i3200000011−1−i32−1−i32−1+i32−1+i32000000
χ3522222222-122-100−1+i3−1−i322−1+i3−1−i3-12-1-1-1-12-1-1-1001−i321+i32−1+i3−1−i322−1+i3−1−i31−i321+i320000−1+i3−1+i3−1−i3−1−i31−i321+i321−i321+i32000000-1-11−i321−i321+i321+i32000000
χ3622222222-122-100−1+i3−1−i3-2-2−1+i3−1−i3-12-1-1-1-12-1-1-1001−i321+i32−1+i3−1−i3-2-2−1+i3−1−i31−i321+i3200001−i31−i31+i31+i31−i321+i321−i321+i3200000011−1+i32−1+i32−1−i32−1−i32000000
χ372-222-2-22-22-11-22-22200-2-22-1-1-1-1-211112-222-1-10011-2-22-22-20000-1-111-11-11-11000000000000
χ382-222-2-22-22-11-22-2−1−i3−1+i3001+i31−i32-1-1-1-1-211112-2−1−i3−1+i31+i321−i3200−1−i32−1+i321+i31−i3−1−i31+i3−1+i31−i300001+i321−i32−1−i32−1+i32-111+i32−1−i321−i32−1+i32000000000000
χ392-222-2-22-22-11-22-2−1+i3−1−i3001−i31+i32-1-1-1-1-211112-2−1+i3−1−i31−i321+i3200−1+i32−1−i321−i31+i3−1+i31−i3−1−i31+i300001−i321+i32−1+i32−1−i32-111−i32−1+i321+i32−1−i32000000000000
χ402-222-2-22-22-11-2-222200-2-22-1-1-1-1-21111-2222-1-10011-2-2-22-220000-1-1111-11-11-1000000000000
χ412-222-2-22-22-11-2-22−1−i3−1+i3001+i31−i32-1-1-1-1-21111-22−1−i3−1+i31+i321−i3200−1−i32−1+i321+i31−i31+i3−1−i31−i3−1+i300001+i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32000000000000
χ422-222-2-22-22-11-2-22−1+i3−1−i3001−i31+i32-1-1-1-1-21111-22−1+i3−1−i31−i321+i3200−1+i32−1−i321−i31+i31−i3−1+i31+i3−1−i300001−i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32000000000000
χ432-222-2-22-2-12-2100222i−2i-2-2-12-1-1-11-211100-1-1222i−2i-2-21100002i−2i2i−2i-1-111000000−ii−ii−ii000000
χ442-222-2-22-2-12-210022−2i2i-2-2-12-1-1-11-211100-1-122−2i2i-2-2110000−2i2i−2i2i-1-111000000i−ii−ii−i000000
χ452-222-2-22-2-12-2100−1−i3−1+i32i−2i1+i31−i3-12-1-1-11-2111001+i321−i32−1−i3−1+i32i−2i1+i31−i3−1−i32−1+i3200002ζ11−2ζ112ζ7−2ζ71+i321−i32−1−i32−1+i32000000−ii−ζ11ζ11−ζ7ζ7000000
χ462-222-2-22-2-12-2100−1−i3−1+i3−2i2i1+i31−i3-12-1-1-11-2111001+i321−i32−1−i3−1+i3−2i2i1+i31−i3−1−i32−1+i320000−2ζ112ζ11−2ζ72ζ71+i321−i32−1−i32−1+i32000000i−iζ11−ζ11ζ7−ζ7000000
χ472-222-2-22-2-12-2100−1+i3−1−i32i−2i1−i31+i3-12-1-1-11-2111001−i321+i32−1+i3−1−i32i−2i1−i31+i3−1+i32−1−i3200002ζ7−2ζ72ζ11−2ζ111−i321+i32−1+i32−1−i32000000−ii−ζ7ζ7−ζ11ζ11000000
χ482-222-2-22-2-12-2100−1+i3−1−i3−2i2i1−i31+i3-12-1-1-11-2111001−i321+i32−1+i3−1−i3−2i2i1−i31+i3−1+i32−1−i320000−2ζ72ζ7−2ζ112ζ111−i321+i32−1+i32−1−i32000000i−iζ7−ζ7ζ11−ζ11000000
χ4944444444-2-2-2-200440044-2-2111-2-211100-2-2-2-200-2-2-2-2000000001111000000000000000000
χ5044444444-2-2-2-200−2−2i3−2+2i300−2−2i3−2+2i3-2-2111-2-2111001+i31−i31+i31−i3001+i31−i31+i31−i300000000−1−i32−1+i32−1−i32−1+i32000000000000000000
χ5144444444-2-2-2-200−2+2i3−2−2i300−2+2i3−2−2i3-2-2111-2-2111001−i31+i31−i31+i3001−i31+i31−i31+i300000000−1+i32−1−i32−1+i32−1−i32000000000000000000
χ524-444-4-44-4-2-222004400-4-4-2-211122-1-1-100-2-2-2-20022220000000011-1-1000000000000000000
χ534-444-4-44-4-2-22200−2−2i3−2+2i3002+2i32−2i3-2-211122-1-1-1001+i31−i31+i31−i300−1−i3−1+i3−1−i3−1+i300000000−1−i32−1+i321+i321−i32000000000000000000
χ544-444-4-44-4-2-22200−2+2i3−2−2i3002−2i32+2i3-2-211122-1-1-1001−i31+i31−i31+i300−1+i3−1−i3−1+i3−1−i300000000−1+i32−1−i321−i321+i32000000000000000000
χ55666-3-36-3-3600666000000-30000-30000-3-30000000000000000000000000000000000000000
χ56666-3-36-3-36006-6-6000000-30000-30000330000000000000000000000000000000000000000
χ5766-366-3-3-30660000066000-30000-3000000000-3-30000000000000000000000000000000000
χ5866-366-3-3-306600000-6-6000-30000-3000000000330000000000000000000000000000000000
χ596-66-33-6-33600-66-6000000-3000030000-330000000000000000000000000000000000000000
χ606-66-33-6-33600-6-66000000-30000300003-30000000000000000000000000000000000000000
χ616-6-36-63-3306-6000006i−6i000-300003000000000−3i3i0000000000000000000000000000000000
χ626-6-36-63-3306-600000−6i6i000-3000030000000003i−3i0000000000000000000000000000000000
χ63121212-6-612-6-6-600-6000000003000030000000000000000000000000000000000000000000000
χ641212-61212-6-6-60-6-60000000000300003000000000000000000000000000000000000000000000
χ651212-6-6-6-633000000000000006-3-3006-3-3000000000000000000000000000000000000000000
χ661212-6-6-6-63300000000000000-36-300-36-3000000000000000000000000000000000000000000
χ671212-6-6-6-63300000000000000-3-3600-3-36000000000000000000000000000000000000000000
χ6812-1212-66-12-66-60060000000030000-30000000000000000000000000000000000000000000000
χ6912-12-612-126-660-66000000000030000-3000000000000000000000000000000000000000000000
χ7012-12-6-6663-3000000000000006-3-300-633000000000000000000000000000000000000000000
χ7112-12-6-6663-300000000000000-36-3003-63000000000000000000000000000000000000000000
χ7212-12-6-6663-300000000000000-3-360033-6000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.