Finite Group Databasebeta

← Group #14514376

Character table — Group #14514376

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size1345812151616303030304013458121516163030303040268101624303232606060608026810162430323260606060802681016243032326060606080
order12523102151544446221026102303044446442041220460604444124420412204606044441244204122046060444412
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11
χ3111-111-111i−ii−i-1111-111-111i−ii−i-1111-111-111i−ii−i-1111-111-111i−ii−i-1111-111-111i−ii−i-1
χ4111-111-111−ii−ii-1111-111-111−ii−ii-1111-111-111−ii−ii-1111-111-111−ii−ii-1111-111-111−ii−ii-1
χ52222-122-1-10000-12222-122-1-10000-12222-122-1-10000-12222-122-1-10000-12222-122-1-10000-1
χ6222-2-12-2-1-100001222-2-12-2-1-100001222-2-12-2-1-100001222-2-12-2-1-100001222-2-12-2-1-100001
χ73-1330-1-10011-1-103-1330-1-10011-1-103-1330-1-10011-1-103-1330-1-10011-1-103-1330-1-10011-1-10
χ83-1330-1-100-1-11103-1330-1-100-1-11103-1330-1-100-1-11103-1330-1-100-1-11103-1330-1-100-1-1110
χ93-13-30-1100i−i−ii03-13-30-1100i−i−ii03-13-30-1100i−i−ii03-13-30-1100i−i−ii03-13-30-1100i−i−ii0
χ103-13-30-1100−iii−i03-13-30-1100−iii−i03-13-30-1100−iii−i03-13-30-1100−iii−i03-13-30-1100−iii−i0
χ1144-104-10-1-10000044-104-10-1-10000044-104-10-1-10000044-104-10-1-10000044-104-10-1-100000
χ1244-10-2-101−i1521+i1520000044-10-2-101−i1521+i1520000044-10-2-101−i1521+i1520000044-10-2-101−i1521+i1520000044-10-2-101−i1521+i15200000
χ1344-10-2-101+i1521−i1520000044-10-2-101+i1521−i1520000044-10-2-101+i1521−i1520000044-10-2-101+i1521−i1520000044-10-2-101+i1521−i15200000
χ1412-4-30010000000012-4-30010000000012-4-30010000000012-4-30010000000012-4-300100000000
χ15111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ16111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1
χ17111-111-111i−ii−i-1111-111-111i−ii−i-1111-111-111i−ii−i-1-1-1-11-1-11-1-1−ii−ii1-1-1-11-1-11-1-1−ii−ii1
χ18111-111-111−ii−ii-1111-111-111−ii−ii-1111-111-111−ii−ii-1-1-1-11-1-11-1-1i−ii−i1-1-1-11-1-11-1-1i−ii−i1
χ192222-122-1-10000-12222-122-1-10000-12222-122-1-10000-1-2-2-2-21-2-21100001-2-2-2-21-2-21100001
χ20222-2-12-2-1-100001222-2-12-2-1-100001222-2-12-2-1-100001-2-2-221-22110000-1-2-2-221-22110000-1
χ213-1330-1-10011-1-103-1330-1-10011-1-103-1330-1-10011-1-10-31-3-301100-1-1110-31-3-301100-1-1110
χ223-1330-1-100-1-11103-1330-1-100-1-11103-1330-1-100-1-1110-31-3-30110011-1-10-31-3-30110011-1-10
χ233-13-30-1100i−i−ii03-13-30-1100i−i−ii03-13-30-1100i−i−ii0-31-3301-100−iii−i0-31-3301-100−iii−i0
χ243-13-30-1100−iii−i03-13-30-1100−iii−i03-13-30-1100−iii−i0-31-3301-100i−i−ii0-31-3301-100i−i−ii0
χ2544-104-10-1-10000044-104-10-1-10000044-104-10-1-100000-4-410-4101100000-4-410-4101100000
χ2644-10-2-101−i1521+i1520000044-10-2-101−i1521+i1520000044-10-2-101−i1521+i15200000-4-410210−1+i152−1−i15200000-4-410210−1+i152−1−i15200000
χ2744-10-2-101+i1521−i1520000044-10-2-101+i1521−i1520000044-10-2-101+i1521−i15200000-4-410210−1−i152−1+i15200000-4-410210−1−i152−1+i15200000
χ2812-4-30010000000012-4-30010000000012-4-300100000000-124300-100000000-124300-100000000
χ291111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ30111111111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1111111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1
χ31111-111-111i−ii−i-1111-111-111i−ii−i-1-1-1-11-1-11-1-1−ii−ii1111-111-111i−ii−i-1-1-1-11-1-11-1-1−ii−ii1
χ32111-111-111−ii−ii-1111-111-111−ii−ii-1-1-1-11-1-11-1-1i−ii−i1111-111-111−ii−ii-1-1-1-11-1-11-1-1i−ii−i1
χ332222-122-1-10000-12222-122-1-10000-1-2-2-2-21-2-211000012222-122-1-10000-1-2-2-2-21-2-21100001
χ34222-2-12-2-1-100001222-2-12-2-1-100001-2-2-221-22110000-1222-2-12-2-1-100001-2-2-221-22110000-1
χ353-1330-1-10011-1-103-1330-1-10011-1-10-31-3-301100-1-11103-1330-1-10011-1-10-31-3-301100-1-1110
χ363-1330-1-100-1-11103-1330-1-100-1-1110-31-3-30110011-1-103-1330-1-100-1-1110-31-3-30110011-1-10
χ373-13-30-1100i−i−ii03-13-30-1100i−i−ii0-31-3301-100−iii−i03-13-30-1100i−i−ii0-31-3301-100−iii−i0
χ383-13-30-1100−iii−i03-13-30-1100−iii−i0-31-3301-100i−i−ii03-13-30-1100−iii−i0-31-3301-100i−i−ii0
χ3944-104-10-1-10000044-104-10-1-100000-4-410-410110000044-104-10-1-100000-4-410-4101100000
χ4044-10-2-101−i1521+i1520000044-10-2-101−i1521+i15200000-4-410210−1+i152−1−i1520000044-10-2-101−i1521+i15200000-4-410210−1+i152−1−i15200000
χ4144-10-2-101+i1521−i1520000044-10-2-101+i1521−i15200000-4-410210−1−i152−1+i1520000044-10-2-101+i1521−i15200000-4-410210−1−i152−1+i15200000
χ4212-4-30010000000012-4-300100000000-124300-10000000012-4-300100000000-124300-100000000
χ431111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111
χ44111111111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111111111-1-1-1-11
χ45111-111-111i−ii−i-1111-111-111i−ii−i-1-1-1-11-1-11-1-1−ii−ii1-1-1-11-1-11-1-1−ii−ii1111-111-111i−ii−i-1
χ46111-111-111−ii−ii-1111-111-111−ii−ii-1-1-1-11-1-11-1-1i−ii−i1-1-1-11-1-11-1-1i−ii−i1111-111-111−ii−ii-1
χ472222-122-1-10000-12222-122-1-10000-1-2-2-2-21-2-21100001-2-2-2-21-2-211000012222-122-1-10000-1
χ48222-2-12-2-1-100001222-2-12-2-1-100001-2-2-221-22110000-1-2-2-221-22110000-1222-2-12-2-1-100001
χ493-1330-1-10011-1-103-1330-1-10011-1-10-31-3-301100-1-1110-31-3-301100-1-11103-1330-1-10011-1-10
χ503-1330-1-100-1-11103-1330-1-100-1-1110-31-3-30110011-1-10-31-3-30110011-1-103-1330-1-100-1-1110
χ513-13-30-1100i−i−ii03-13-30-1100i−i−ii0-31-3301-100−iii−i0-31-3301-100−iii−i03-13-30-1100i−i−ii0
χ523-13-30-1100−iii−i03-13-30-1100−iii−i0-31-3301-100i−i−ii0-31-3301-100i−i−ii03-13-30-1100−iii−i0
χ5344-104-10-1-10000044-104-10-1-100000-4-410-4101100000-4-410-410110000044-104-10-1-100000
χ5444-10-2-101−i1521+i1520000044-10-2-101−i1521+i15200000-4-410210−1+i152−1−i15200000-4-410210−1+i152−1−i1520000044-10-2-101−i1521+i15200000
χ5544-10-2-101+i1521−i1520000044-10-2-101+i1521−i15200000-4-410210−1−i152−1+i15200000-4-410210−1−i152−1+i1520000044-10-2-101+i1521−i15200000
χ5612-4-30010000000012-4-300100000000-124300-100000000-124300-10000000012-4-300100000000
χ5722222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000
χ58222222222-2-2-2-22-2-2-2-2-2-2-2-2-22222-2000000000000000000000000000000000000000000
χ59222-222-2222i−2i2i−2i-2-2-2-22-2-22-2-2−2i2i−2i2i2000000000000000000000000000000000000000000
χ60222-222-222−2i2i−2i2i-2-2-2-22-2-22-2-22i−2i2i−2i2000000000000000000000000000000000000000000
χ614444-244-2-20000-2-4-4-4-42-4-42200002000000000000000000000000000000000000000000
χ62444-4-24-4-2-200002-4-4-442-44220000-2000000000000000000000000000000000000000000
χ636-2660-2-20022-2-20-62-6-602200-2-2220000000000000000000000000000000000000000000
χ646-2660-2-200-2-2220-62-6-60220022-2-20000000000000000000000000000000000000000000
χ656-26-60-22002i−2i−2i2i0-62-6602-200−2i2i2i−2i0000000000000000000000000000000000000000000
χ666-26-60-2200−2i2i2i−2i0-62-6602-2002i−2i−2i2i0000000000000000000000000000000000000000000
χ6788-208-20-2-200000-8-820-8202200000000000000000000000000000000000000000000000
χ6888-20-4-201−i151+i1500000-8-820420−1+i15−1−i1500000000000000000000000000000000000000000000000
χ6988-20-4-201+i151−i1500000-8-820420−1−i15−1+i1500000000000000000000000000000000000000000000000
χ7024-8-600200000000-248600-200000000000000000000000000000000000000000000000000

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