Finite Group Databasebeta

← Group #72243711

Character table — Group #72243711

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111669999999999991218182727272727272727272727273636363636545454545454818181818181818181108108162162162162162162
order1333322333333666633366666666666633333669999266666666996618181818
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ31111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ4111111-111111111-1-1111111-1-1-1111-1-1-1111111-11111-1-1-1-1-1-1-1-1-1111-11-11-1
χ5111111-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-1111−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32111111-1−1+i32−1+i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32
χ6111111-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-1111−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32111111-1−1−i32−1−i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32
χ711111-11111111-1-111111-1-1-1111-1-1-111111111-111111-1-1-1-1-1-1-1-1-111-11-11-11
χ811111-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1111111−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i3211111-11−1+i32−1+i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i32−1−i32-111−i32−1+i321+i32−1−i32
χ911111-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1111111+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i3211111-11−1−i32−1−i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i32−1+i32-111+i32−1−i321−i32−1+i32
χ1011111-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111111111111-1-1-1-1-1-1
χ1111111-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-11111−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i3211111-1-1−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32
χ1211111-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-11111+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i3211111-1-1−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32
χ132222202222222002222-10002220002222-1-1-1-1022-12-1000000000-1-10-10-10-1
χ142222202−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3002222-1000−1+i3−1+i3−1+i3000−1−i3−1−i3−1−i32-1-1-1-102−1+i31−i32−1−i31+i320000000001−i321+i320-101−i3201+i32
χ152222202−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3002222-1000−1−i3−1−i3−1−i3000−1+i3−1+i3−1+i32-1-1-1-102−1−i31+i32−1+i31−i320000000001+i321−i320-101+i3201−i32
χ16222220-222222200-2-222-1000-2-2-2000-2-2-22-1-1-1-10-22-12-1000000000-1-1010101
χ17222220-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300-2-222-10001−i31−i31−i30001+i31+i31+i32-1-1-1-10-2−1+i31−i32−1−i31+i320000000001−i321+i32010−1+i320−1−i32
χ18222220-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300-2-222-10001+i31+i31+i30001−i31−i31−i32-1-1-1-10-2−1−i31+i32−1+i31−i320000000001+i321−i32010−1−i320−1+i32
χ19222222022222222002-12222000222000-12-1-1-120-12-12000000000-1-1-10-10-10
χ202222220−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322002-12−1+i3−1+i3−1+i3000−1−i3−1−i3−1−i3000-12-1-1-1201−i32−1+i31+i32−1−i30000000001−i321+i32-101−i3201+i320
χ212222220−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322002-12−1−i3−1−i3−1−i3000−1+i3−1+i3−1+i3000-12-1-1-1201+i32−1−i31−i32−1+i30000000001+i321−i32-101+i3201−i320
χ2222222-20222222-2-2002-12-2-2-2000-2-2-2000-12-1-1-1-20-12-12000000000-1-1101010
χ2322222-20−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-2002-121−i31−i31−i30001+i31+i31+i3000-12-1-1-1-201−i32−1+i31+i32−1−i30000000001−i321+i3210−1+i320−1−i320
χ2422222-20−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-2002-121+i31+i31+i30001−i31−i31−i3000-12-1-1-1-201+i32−1−i31−i32−1+i30000000001+i321−i3210−1−i320−1+i320
χ25444440044444400004-2-2000000000000-2-211100-2-2-2-200000000011000000
χ264444400−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i300004-2-2000000000000-2-2111001−i31−i31+i31+i3000000000−1+i32−1−i32000000
χ274444400−2−2i3−2−2i3−2−2i3−2+2i3−2+2i3−2+2i300004-2-2000000000000-2-2111001+i31+i31−i31−i3000000000−1−i32−1+i32000000
χ286666-3060000000066-360000000000000-300000-3000000000000000000000
χ296666-30-600000000-6-6-360000000000000-3000003000000000000000000000
χ30666-36600000006600-3060000000000000-3000-30000000000000000000000
χ31666-36-60000000-6-600-3060000000000000-300030000000000000000000000
χ329−9+9i32−9−9i320033-33−3i323+3i32-33−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i32000i33−i32−3−i32i33−i32−3−i323+i32−3+i32−i33+i32−3+i32−i3000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3200000000
χ339−9+9i32−9−9i3200333−3i323+3i32-33+3i32-33−3i32−3+3i32−3−3i32−3+3i32−3−3i32000−3−i32i33−i32−3−i32i33−i32−i33+i32−3+i32−i33+i32−3+i32000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i3200000000
χ349−9+9i32−9−9i3200333+3i32-33−3i323−3i323+3i32-3−3+3i32−3−3i32−3+3i32−3−3i320003−i32−3−i32i33−i32−3−i32i3−3+i32−i33+i32−3+i32−i33+i32000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32100000000
χ359−9+9i32−9−9i32003-3-33−3i323+3i32-33−3i323+3i32−3+3i32−3−3i323−3i323+3i32000i33−i32−3−i32−i3−3+i323+i323+i32−3+i32−i3−3−i323−i32i300000000000-11−i321+i32-11−i321+i32-11−i321+i3200000000
χ369−9+9i32−9−9i32003-33−3i323+3i32-33+3i32-33−3i32−3+3i32−3−3i323−3i323+3i32000−3−i32i33−i323+i32−i3−3+i32−i33+i32−3+i32i3−3−i323−i3200000000000-11−i321+i321−i321+i32-11+i32-11−i3200000000
χ379−9+9i32−9−9i32003-33+3i32-33−3i323−3i323+3i32-3−3+3i32−3−3i323−3i323+3i320003−i32−3−i32i3−3+i323+i32−i3−3+i32−i33+i323−i32i3−3−i3200000000000-11−i321+i321+i32-11−i321−i321+i32-100000000
χ389−9+9i32−9−9i3200-33-33−3i323+3i32-33−3i323+3i323−3i323+3i32−3+3i32−3−3i32000−i3−3+i323+i32i33−i32−3−i32−3−i323−i32i33+i32−3+i32−i300000000000-11−i321+i32-11−i321+i32-11−i321+i3200000000
χ399−9+9i32−9−9i3200-333−3i323+3i32-33+3i32-33−3i323−3i323+3i32−3+3i32−3−3i320003+i32−i3−3+i32−3−i32i33−i32i3−3−i323−i32−i33+i32−3+i3200000000000-11−i321+i321−i321+i32-11+i32-11−i3200000000
χ409−9+9i32−9−9i3200-333+3i32-33−3i323−3i323+3i32-33−3i323+3i32−3+3i32−3−3i32000−3+i323+i32−i33−i32−3−i32i33−i32i3−3−i32−3+i32−i33+i3200000000000-11−i321+i321+i32-11−i321−i321+i32-100000000
χ419−9+9i32−9−9i3200-3-3-33−3i323+3i32-33−3i323+3i323−3i323+3i323−3i323+3i32000−i3−3+i323+i32−i3−3+i323+i32−3−i323−i32i3−3−i323−i32i3000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3200000000
χ429−9+9i32−9−9i3200-3-33−3i323+3i32-33+3i32-33−3i323−3i323+3i323−3i323+3i320003+i32−i3−3+i323+i32−i3−3+i32i3−3−i323−i32i3−3−i323−i32000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i3200000000
χ439−9+9i32−9−9i3200-3-33+3i32-33−3i323−3i323+3i32-33−3i323+3i323−3i323+3i32000−3+i323+i32−i3−3+i323+i32−i33−i32i3−3−i323−i32i3−3−i32000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32100000000
χ449−9−9i32−9+9i320033-33+3i323−3i32-33+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i32000−i33+i32−3+i32−i33+i32−3+i323−i32−3−i32i33−i32−3−i32i3000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3200000000
χ459−9−9i32−9+9i3200333−3i32-33+3i323+3i323−3i32-3−3−3i32−3+3i32−3−3i32−3+3i320003+i32−3+i32−i33+i32−3+i32−i3−3−i32i33−i32−3−i32i33−i32000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32100000000
χ469−9−9i32−9+9i3200333+3i323−3i32-33−3i32-33+3i32−3−3i32−3+3i32−3−3i32−3+3i32000−3+i32−i33+i32−3+i32−i33+i32i33−i32−3−i32i33−i32−3−i32000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3200000000
χ479−9−9i32−9+9i32003-3-33+3i323−3i32-33+3i323−3i32−3−3i32−3+3i323+3i323−3i32000−i33+i32−3+i32i3−3−i323−i323−i32−3−i32i3−3+i323+i32−i300000000000-11+i321−i32-11+i321−i32-11+i321−i3200000000
χ489−9−9i32−9+9i32003-33−3i32-33+3i323+3i323−3i32-3−3−3i32−3+3i323+3i323−3i320003+i32−3+i32−i3−3−i323−i32i3−3−i32i33−i323+i32−i3−3+i3200000000000-11+i321−i321−i32-11+i321+i321−i32-100000000
χ499−9−9i32−9+9i32003-33+3i323−3i32-33−3i32-33+3i32−3−3i32−3+3i323+3i323−3i32000−3+i32−i33+i323−i32i3−3−i32i33−i32−3−i32−i3−3+i323+i3200000000000-11+i321−i321+i321−i32-11−i32-11+i3200000000
χ509−9−9i32−9+9i3200-33-33+3i323−3i32-33+3i323−3i323+3i323−3i32−3−3i32−3+3i32000i3−3−i323−i32−i33+i32−3+i32−3+i323+i32−i33−i32−3−i32i300000000000-11+i321−i32-11+i321−i32-11+i321−i3200000000
χ519−9−9i32−9+9i3200-333−3i32-33+3i323+3i323−3i32-33+3i323−3i32−3−3i32−3+3i32000−3−i323−i32i33+i32−3+i32−i33+i32−i3−3+i32−3−i32i33−i3200000000000-11+i321−i321−i32-11+i321+i321−i32-100000000
χ529−9−9i32−9+9i3200-333+3i323−3i32-33−3i32-33+3i323+3i323−3i32−3−3i32−3+3i320003−i32i3−3−i32−3+i32−i33+i32−i3−3+i323+i32i33−i32−3−i3200000000000-11+i321−i321+i321−i32-11−i32-11+i3200000000
χ539−9−9i32−9+9i3200-3-3-33+3i323−3i32-33+3i323−3i323+3i323−3i323+3i323−3i32000i3−3−i323−i32i3−3−i323−i32−3+i323+i32−i3−3+i323+i32−i3000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3200000000
χ549−9−9i32−9+9i3200-3-33−3i32-33+3i323+3i323−3i32-33+3i323−3i323+3i323−3i32000−3−i323−i32i3−3−i323−i32i33+i32−i3−3+i323+i32−i3−3+i32000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32100000000
χ559−9−9i32−9+9i3200-3-33+3i323−3i32-33−3i32-33+3i323+3i323−3i323+3i323−3i320003−i32i3−3−i323−i32i3−3−i32−i3−3+i323+i32−i3−3+i323+i32000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3200000000
χ5612121212-6000000000000-6-600000000000003000000000000000000000000000
χ57121212-612000000000000-60-60000000000000300000000000000000000000000
χ58121212-6-6000000000000300000000000000006-3-300000000000000000000000
χ59121212-6-600000000000030000000000000000-36-300000000000000000000000
χ60121212-6-600000000000030000000000000000-3-3600000000000000000000000

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