Finite Group Databasebeta

← Group #72253791

Character table — Group #72253791

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1222223344446666666666612121212121212121212121218181827272727363636363636363636363636545454545454545454545454548181818181162162162162162162
order133333333333333333333333333333333339992266999999999999666666666666626666666181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-11-1-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1111
χ411111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1
χ5111111−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ6111111−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321-1−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32
χ7111111−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32-111−i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-111−i321−i321−i321−i321+i321+i321+i321+i32-1−1+i32−1−i321−i321+i32-11−i321+i321−1+i32−1−i32
χ8111111−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32-1-11−i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−i321+i32−1+i32−1−i321−1+i32−1−i32-11−i321+i32
χ9111111−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ10111111−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321-1−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32
χ11111111−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32-111+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-111+i321+i321+i321+i321−i321−i321−i321−i32-1−1−i32−1+i321+i321−i32-11+i321−i321−1−i32−1+i32
χ12111111−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32-1-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211+i321−i32−1−i32−1+i321−1−i32−1+i32-11+i321−i32
χ1322222222222222222222222222222222222-1-1-10200-1-1-1-1-1-1-1-1-1-1-1-1000020000000002200000-1-1-1
χ1422222222222222222222222222222222222-1-1-10-200-1-1-1-1-1-1-1-1-1-1-1-10000-2000000000-2-200000111
χ1522222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122200002-1-1-12-1-1-12-1-1-1000000000000020022-1-1-1000
χ1622222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122200002-1-1-12-1-1-12-1-1-10000000000000-200-2-2111000
χ17222222−1+i3−1−i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i32−1+i3−1−i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-11−i321+i320200-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3200002000000000−1+i3−1−i300000-11−i321+i32
χ18222222−1+i3−1−i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i32−1+i3−1−i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-11−i321+i320-200-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i320000-20000000001−i31+i3000001−1+i32−1−i32
χ19222222−1+i3−1−i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i322−1+i3−1−i300002-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i320000000000000200−1+i3−1−i3-11−i321+i32000
χ20222222−1+i3−1−i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-11−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i322−1+i3−1−i300002-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i320000000000000-2001−i31+i31−1+i32−1−i32000
χ21222222−1−i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i32−1−i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-11+i321−i320200-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3200002000000000−1−i3−1+i300000-11+i321−i32
χ22222222−1−i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i32−1−i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-11+i321−i320-200-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i320000-20000000001+i31−i3000001−1−i32−1+i32
χ23222222−1−i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i322−1−i3−1+i300002-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i320000000000000200−1−i3−1+i3-11+i321−i32000
χ24222222−1−i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i322−1−i3−1+i300002-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i320000000000000-2001+i31−i31−1−i32−1+i32000
χ2522-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-12222022-12-1-1-12-1-1-12-1-12-1-1-102-1-1-12-1-1-100000000000
χ2622-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-1222-20-2-2-12-1-1-12-1-1-12-1-1-21110-2111-211100000000000
χ2722-1-1-12−1+i3−1−i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i322−1+i3−1−i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i322−1+i3−1−i320−1+i3−1−i3-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i322-1-1-10−1+i31−i321−i321−i32−1−i31+i321+i321+i3200000000000
χ2822-1-1-12−1+i3−1−i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i322−1+i3−1−i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i322−1+i3−1−i3-201−i31+i3-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32-211101−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i3200000000000
χ2922-1-1-12−1−i3−1+i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i322−1−i3−1+i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i322−1−i3−1+i320−1−i3−1+i3-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i322-1-1-10−1−i31+i321+i321+i32−1+i31−i321−i321−i3200000000000
χ3022-1-1-12−1−i3−1+i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i322−1−i3−1+i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i322−1−i3−1+i3-201+i31−i3-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32-211101+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i3200000000000
χ3144444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2111-2111-2111000000000000000000000000
χ32444444−2+2i3−2−2i34444−2+2i3−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i3−2−2i3-21−i31+i3-2-2-2-21−i31−i31−i31−i31+i31+i31+i31+i3-21−i31+i30000-21111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32000000000000000000000000
χ33444444−2−2i3−2+2i34444−2−2i3−2−2i3−2−2i3−2−2i3−2+2i3−2+2i3−2+2i3−2+2i3-21+i31−i3-2-2-2-21+i31+i31+i31+i31−i31−i31−i31−i3-21+i31−i30000-21111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32000000000000000000000000
χ3444-2-2-24444-2-2-24-2-2-24-2-2-24444-2-2-24-2-2-24-2-2-2-2-2-200001-2111-2111-211000000000000000000000000
χ3544-2-2-24444-2-2-24-2-2-24-2-2-2-2-2-2-2111-2111-21114440000-2-211-2-211-2-211000000000000000000000000
χ3644-2-2-24444-2-2-24-2-2-24-2-2-2-2-2-2-2111-2111-2111-2-2-2000011−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i32000000000000000000000000
χ3744-2-2-24444-2-2-24-2-2-24-2-2-2-2-2-2-2111-2111-2111-2-2-2000011−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i32000000000000000000000000
χ3844-2-2-24−2+2i3−2−2i34-2-2-2−2+2i31−i31−i31−i3−2−2i31+i31+i31+i34−2+2i3−2−2i34-2-2-2−2+2i31−i31−i31−i3−2−2i31+i31+i31+i3-21−i31+i300001-211−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32000000000000000000000000
χ3944-2-2-24−2+2i3−2−2i34-2-2-2−2+2i31−i31−i31−i3−2−2i31+i31+i31+i3-21−i31+i3-21111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i324−2+2i3−2−2i30000-2-2111−i31−i3−1+i32−1+i321+i31+i3−1−i32−1−i32000000000000000000000000
χ4044-2-2-24−2+2i3−2−2i34-2-2-2−2+2i31−i31−i31−i3−2−2i31+i31+i31+i3-21−i31+i3-21111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32-21−i31+i3000011−1+3i32−1−3i32−1+i32−1+i32−2−i35+i32−1−i32−1−i325−i32−2+i3000000000000000000000000
χ4144-2-2-24−2+2i3−2−2i34-2-2-2−2+2i31−i31−i31−i3−2−2i31+i31+i31+i3-21−i31+i3-21111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32-21−i31+i3000011−1−3i32−1+3i32−1+i32−1+i325+i32−2−i3−1−i32−1−i32−2+i35−i32000000000000000000000000
χ4244-2-2-24−2−2i3−2+2i34-2-2-2−2−2i31+i31+i31+i3−2+2i31−i31−i31−i34−2−2i3−2+2i34-2-2-2−2−2i31+i31+i31+i3−2+2i31−i31−i31−i3-21+i31−i300001-211−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32000000000000000000000000
χ4344-2-2-24−2−2i3−2+2i34-2-2-2−2−2i31+i31+i31+i3−2+2i31−i31−i31−i3-21+i31−i3-21111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i324−2−2i3−2+2i30000-2-2111+i31+i3−1−i32−1−i321−i31−i3−1+i32−1+i32000000000000000000000000
χ4444-2-2-24−2−2i3−2+2i34-2-2-2−2−2i31+i31+i31+i3−2+2i31−i31−i31−i3-21+i31−i3-21111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32-21+i31−i3000011−1+3i32−1−3i32−1−i32−1−i325−i32−2+i3−1+i32−1+i32−2−i35+i32000000000000000000000000
χ4544-2-2-24−2−2i3−2+2i34-2-2-2−2−2i31+i31+i31+i3−2+2i31−i31−i31−i3-21+i31−i3-21111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32-21+i31−i3000011−1−3i32−1+3i32−1−i32−1−i32−2+i35−i32−1+i32−1+i325+i32−2−i3000000000000000000000000
χ4666666-300-3-3-3-300000000600-36-3-30000000000006000000000000000000-30000000000000000000
χ4766666-300-3-3-3-300000000600-36-3-3000000000000-600000000000000000030000000000000000000
χ486-36-3-3666-36-3-3-36-3-3-36-3-30000000000000000002022000000000000-12-1-10-12-1-1-12-1-100000000000
χ496-36-3-3666-36-3-3-36-3-3-36-3-3000000000000000000-20-2-20000000000001-21101-2111-21100000000000
χ506-36-3-36−3+3i3−3−3i3-36-3-33−3i32−3+3i33−3i323−3i323+3i32−3−3i33+3i323+3i3200000000000000000020−1+i3−1−i3000000000000-12-1-101−i32−1+i31−i321−i321+i32−1−i31+i321+i3200000000000
χ516-36-3-36−3+3i3−3−3i3-36-3-33−3i32−3+3i33−3i323−3i323+3i32−3−3i33+3i323+3i32000000000000000000-201−i31+i30000000000001-2110−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i3200000000000
χ526-36-3-36−3−3i3−3+3i3-36-3-33+3i32−3−3i33+3i323+3i323−3i32−3+3i33−3i323−3i3200000000000000000020−1−i3−1+i3000000000000-12-1-101+i32−1−i31+i321+i321−i32−1+i31−i321−i3200000000000
χ536-36-3-36−3−3i3−3+3i3-36-3-33+3i32−3−3i33+3i323+3i323−3i32−3+3i33−3i323−3i32000000000000000000-201+i31−i30000000000001-2110−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i3200000000000
χ546-3-36-3666-3-36-3-3-36-3-3-36-30000000000000000002022000000000000-1-12-10-1-12-1-1-12-100000000000
χ556-3-36-3666-3-36-3-3-36-3-3-36-3000000000000000000-20-2-200000000000011-21011-2111-2100000000000
χ566-3-36-36−3+3i3−3−3i3-3-36-33−3i323−3i32−3+3i33−3i323+3i323+3i32−3−3i33+3i3200000000000000000020−1+i3−1−i3000000000000-1-12-101−i321−i32−1+i31−i321+i321+i32−1−i31+i3200000000000
χ576-3-36-36−3+3i3−3−3i3-3-36-33−3i323−3i32−3+3i33−3i323+3i323+3i32−3−3i33+3i32000000000000000000-201−i31+i300000000000011-210−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i3200000000000
χ586-3-36-36−3−3i3−3+3i3-3-36-33+3i323+3i32−3−3i33+3i323−3i323−3i32−3+3i33−3i3200000000000000000020−1−i3−1+i3000000000000-1-12-101+i321+i32−1−i31+i321−i321−i32−1+i31−i3200000000000
χ596-3-36-36−3−3i3−3+3i3-3-36-33+3i323+3i32−3−3i33+3i323−3i323−3i32−3+3i33−3i32000000000000000000-201+i31−i300000000000011-210−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i3200000000000
χ606-3-3-36666-3-3-36-3-3-36-3-3-360000000000000000002022000000000000-1-1-120-1-1-12-1-1-1200000000000
χ616-3-3-36666-3-3-36-3-3-36-3-3-36000000000000000000-20-2-2000000000000111-20111-2111-200000000000
χ626-3-3-366−3+3i3−3−3i3-3-3-363−3i323−3i323−3i32−3+3i33+3i323+3i323+3i32−3−3i300000000000000000020−1+i3−1−i3000000000000-1-1-1201−i321−i321−i32−1+i31+i321+i321+i32−1−i300000000000
χ636-3-3-366−3+3i3−3−3i3-3-3-363−3i323−3i323−3i32−3+3i33+3i323+3i323+3i32−3−3i3000000000000000000-201−i31+i3000000000000111-20−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i300000000000
χ646-3-3-366−3−3i3−3+3i3-3-3-363+3i323+3i323+3i32−3−3i33−3i323−3i323−3i32−3+3i300000000000000000020−1−i3−1+i3000000000000-1-1-1201+i321+i321+i32−1−i31−i321−i321−i32−1+i300000000000
χ656-3-3-366−3−3i3−3+3i3-3-3-363+3i323+3i323+3i32−3−3i33−3i323−3i323−3i32−3+3i3000000000000000000-201+i31−i3000000000000111-20−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i300000000000
χ661212121212-600-6-6-6-600000000-6003-633000000000000000000000000000000000000000000000000000
χ671212-6-6-6-600-6333000000001200-6-633000000000000000000000000000000000000000000000000000
χ681212-6-6-6-600-633300000000-60033−3+9i32−3−9i32000000000000000000000000000000000000000000000000000
χ691212-6-6-6-600-633300000000-60033−3−9i32−3+9i32000000000000000000000000000000000000000000000000000
χ7012-612-6-6-6003-633000000000660000-36-3-3-36-3-30000000000000000000000000000000000000000000
χ7112-612-6-6-6003-633000000000−3+3i3−3−3i300003−3i32−3+3i33−3i323−3i323+3i32−3−3i33+3i323+3i320000000000000000000000000000000000000000000
χ7212-612-6-6-6003-633000000000−3−3i3−3+3i300003+3i32−3−3i33+3i323+3i323−3i32−3+3i33−3i323−3i320000000000000000000000000000000000000000000
χ7312-6-612-6-60033-63000000000660000-3-36-3-3-36-30000000000000000000000000000000000000000000
χ7412-6-612-6-60033-63000000000−3+3i3−3−3i300003−3i323−3i32−3+3i33−3i323+3i323+3i32−3−3i33+3i320000000000000000000000000000000000000000000
χ7512-6-612-6-60033-63000000000−3−3i3−3+3i300003+3i323+3i32−3−3i33+3i323−3i323−3i32−3+3i33−3i320000000000000000000000000000000000000000000
χ7612-6-6-612-600333-6000000000660000-3-3-36-3-3-360000000000000000000000000000000000000000000
χ7712-6-6-612-600333-6000000000−3+3i3−3−3i300003−3i323−3i323−3i32−3+3i33+3i323+3i323+3i32−3−3i30000000000000000000000000000000000000000000
χ7812-6-6-612-600333-6000000000−3−3i3−3+3i300003+3i323+3i323+3i32−3−3i33−3i323−3i323−3i32−3+3i30000000000000000000000000000000000000000000

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