Finite Group Databasebeta

← Group #13140046

Character table — Group #13140046

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111122222222224444446666666612121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272727272727272
order1222344666121212122466121233666666366666666666121212121212121212121212121212128888242424242424242444441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ511111111111111-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ611111111111111-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111
χ711111111111111-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111
χ811111111111111-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1
χ9222222222222222222222-12-12-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000020200-1-100-1-1
χ10222222222222222222222-12-12-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000000000000-20-200110011
χ1122222222222222222222-12-12-12-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000000000002020-1-100-1-100
χ1222222222222222222222-12-12-12-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1000000000000-20-2011001100
χ1322222222222222-2-2-2-2-2-22-12-12-12-1-1-2-211-1-11111-122-1-1-2-211-1-1-1-11111000000000000020-200-1-10011
χ1422222222222222-2-2-2-2-2-22-12-12-12-1-1-2-211-1-11111-122-1-1-2-211-1-1-1-111110000000000000-202001100-1-1
χ1522222222222222-2-2-2-2-2-2-12-12-12-12-111-2-2-1-11111-1-1-12211-2-2-1-1-1-1111100000000000020-20-1-1001100
χ1622222222222222-2-2-2-2-2-2-12-12-12-12-111-2-2-1-11111-1-1-12211-2-2-1-1-1-11111000000000000-20201100-1-100
χ1722222-2-2222-2-2-2-22-222-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000
χ1822222-2-2222-2-2-2-22-222-2-22-12-12-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-21111111111000000000000000000−i3i300−i3i3
χ1922222-2-2222-2-2-2-22-222-2-22-12-12-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-21111111111000000000000000000i3−i300i3−i3
χ2022222-2-2222-2-2-2-22-222-2-2-12-12-12-12-1-1-122-1-1-1-1-1-1-111-2-211-2-2111111110000000000000000−i3i300−i3i300
χ2122222-2-2222-2-2-2-22-222-2-2-12-12-12-12-1-1-122-1-1-1-1-1-1-111-2-211-2-2111111110000000000000000i3−i300i3−i300
χ2222222-2-2222-2-2-2-2-22-2-222222222222-2-2-2-222-2-2-2-22-2-2-2-22222-2-2-2-22222000000000000000000000000
χ2322222-2-2222-2-2-2-2-22-2-2222-12-12-12-1-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-1000000000000000000−i3i300i3−i3
χ2422222-2-2222-2-2-2-2-22-2-2222-12-12-12-1-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-1000000000000000000i3−i300−i3i3
χ2522222-2-2222-2-2-2-2-22-2-222-12-12-12-12-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-10000000000000000−i3i300i3−i300
χ2622222-2-2222-2-2-2-2-22-2-222-12-12-12-12-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-10000000000000000i3−i300−i3i300
χ272-2-2222-2-2-2222-2-200000022-2-2-2-22220000-2-2000022-22-2000022-2-20000002i−2i00002i2i−2i−2i000000000000
χ282-2-2222-2-2-2222-2-200000022-2-2-2-22220000-2-2000022-22-2000022-2-2000000−2i2i0000−2i−2i2i2i000000000000
χ292-2-222-22-2-22-2-22200000022-2-2-2-22220000-2-200002-22-220000-2-22200002-20022-2-20000000000000000
χ302-2-222-22-2-22-2-22200000022-2-2-2-22220000-2-200002-22-220000-2-2220000-2200-2-2220000000000000000
χ3144444444444444444444-2-2-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-211111111000000000000000000000000
χ3244444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-21222211-1-1-1-11-2-2-2-222221111-1-1-1-1000000000000000000000000
χ3344444-4-4444-4-4-4-44-444-4-4-2-2-2-2-2-2-2-21-2-2-2-2111111122222222-1-1-1-1-1-1-1-1000000000000000000000000
χ3444444-4-4444-4-4-4-4-44-4-444-2-2-2-2-2-2-2-21222211-1-1-1-112222-2-2-2-2-1-1-1-11111000000000000000000000000
χ3544-4-44004-4-40000000000444-4-44-4-4400004-40000-40000000000000000000000000000000000000000
χ3644-4-44004-4-400000000004-242-4-2-42-20000-220000200000023−2300002323−23−23000000000000000000000000
χ3744-4-44004-4-400000000004-242-4-2-42-20000-2200002000000−23230000−23−232323000000000000000000000000
χ3844-4-44004-4-40000000000-24-2-4242-4-2−2i32i300-22−2i3−2i32i32i320000000000000000000000000000000000000000
χ3944-4-44004-4-40000000000-24-2-4242-4-22i3−2i300-222i32i3−2i3−2i320000000000000000000000000000000000000000
χ4044-4-44004-4-40000000000-2-2-222-2221−2i32i3001-1i3i3−i3−i3-100000023−233i−3i3i−3i−3−333000000000000000000000000
χ4144-4-44004-4-40000000000-2-2-222-2221−2i32i3001-1i3i3−i3−i3-1000000−2323−3i3i−3i3i33−3−3000000000000000000000000
χ4244-4-44004-4-40000000000-2-2-222-22212i3−2i3001-1−i3−i3i3i3-100000023−23−3i3i−3i3i−3−333000000000000000000000000
χ4344-4-44004-4-40000000000-2-2-222-22212i3−2i3001-1−i3−i3i3i3-1000000−23233i−3i3i−3i33−3−3000000000000000000000000
χ444-44-4400-44-4000000000044-444-4-4-440000-440000-40000000000000000000000000000000000000000
χ454-44-4400-44-400000000004-2-4-242-42-200−2i32i32-2−2i32i3−2i32i320000000000000000000000000000000000000000
χ464-44-4400-44-400000000004-2-4-242-42-2002i3−2i32-22i3−2i32i3−2i320000000000000000000000000000000000000000
χ474-44-4400-44-40000000000-2424-2-42-4-200002-200002000023−2300000023−2323−23000000000000000000000000
χ484-44-4400-44-40000000000-2424-2-42-4-200002-2000020000−2323000000−2323−2323000000000000000000000000
χ494-44-4400-44-40000000000-2-22-2-2222100−2i32i3-11i3−i3i3−i3-1000023−23003i−3i−3i3i−33−33000000000000000000000000
χ504-44-4400-44-40000000000-2-22-2-2222100−2i32i3-11i3−i3i3−i3-10000−232300−3i3i3i−3i3−33−3000000000000000000000000
χ514-44-4400-44-40000000000-2-22-2-22221002i3−2i3-11−i3i3−i3i3-1000023−2300−3i3i3i−3i−33−33000000000000000000000000
χ524-44-4400-44-40000000000-2-22-2-22221002i3−2i3-11−i3i3−i3i3-10000−2323003i−3i−3i3i3−33−3000000000000000000000000
χ534-4-4444-4-4-4444-4-40000004-2-42-424-2-20000220000-24-4-220000-2-2220000000000000000000000000000
χ544-4-4444-4-4-4444-4-4000000-242-42-4-24-20000220000-2-224-40000-2-2220000000000000000000000000000
χ554-4-4444-4-4-4444-4-4000000-2-22222-2-210000-1-13-3-331-22-22000011-1-13-3-33000000000000000000000000
χ564-4-4444-4-4-4444-4-4000000-2-22222-2-210000-1-1-333-31-22-22000011-1-1-333-3000000000000000000000000
χ574-4-444-44-4-44-4-4440000004-2-42-424-2-20000220000-2-442-2000022-2-20000000000000000000000000000
χ584-4-444-44-4-44-4-444000000-242-42-4-24-20000220000-22-2-44000022-2-20000000000000000000000000000
χ594-4-444-44-4-44-4-444000000-2-22222-2-210000-1-13-3-3312-22-20000-1-111-333-3000000000000000000000000
χ604-4-444-44-4-44-4-444000000-2-22222-2-210000-1-1-333-312-22-20000-1-1113-3-33000000000000000000000000
χ616666-366-3-3-3-3-3-3-366-3-3-3-30000000000000000000000000000000000002222-1-1-1-1-1-1-1-1000000000000
χ626666-366-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000-2-2-2-211111111000000000000
χ636666-366-3-3-3-3-3-3-3-6-6333300000000000000000000000000000000000022-2-2-1-1-1-11111000000000000
χ646666-366-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000-2-2221111-1-1-1-1000000000000
χ656666-3-6-6-3-3-333336-6-3-33300000000000000000000000000000000000000003−33−33−33−3000000000000
χ666666-3-6-6-3-3-333336-6-3-3330000000000000000000000000000000000000000−33−33−33−33000000000000
χ676666-3-6-6-3-3-33333-6633-3-300000000000000000000000000000000000000003−33−3−33−33000000000000
χ686666-3-6-6-3-3-33333-6633-3-30000000000000000000000000000000000000000−33−333−33−3000000000000
χ696-6-66-36-633-3-3-33300−3i33i3−3i33i3000000000000000000000000000000000000002i−2i3−3−33−i−iii000000000000
χ706-6-66-36-633-3-3-33300−3i33i3−3i33i300000000000000000000000000000000000000−2i2i−333−3ii−i−i000000000000
χ716-6-66-36-633-3-3-333003i3−3i33i3−3i3000000000000000000000000000000000000002i−2i−333−3−i−iii000000000000
χ726-6-66-36-633-3-3-333003i3−3i33i3−3i300000000000000000000000000000000000000−2i2i3−3−33ii−i−i000000000000
χ736-6-66-3-6633-333-3-300−3i33i33i3−3i30000000000000000000000000000000000002-200-1-111−i3i3i3−i3000000000000
χ746-6-66-3-6633-333-3-300−3i33i33i3−3i3000000000000000000000000000000000000-220011-1-1i3−i3−i3i3000000000000
χ756-6-66-3-6633-333-3-3003i3−3i3−3i33i30000000000000000000000000000000000002-200-1-111i3−i3−i3i3000000000000
χ766-6-66-3-6633-333-3-3003i3−3i3−3i33i3000000000000000000000000000000000000-220011-1-1−i3i3i3−i3000000000000
χ771212-12-12-600-66663−6363−63000000000000000000000000000000000000000000000000000000000000000000
χ781212-12-12-600-666−6363−6363000000000000000000000000000000000000000000000000000000000000000000
χ7912-1212-12-6006-6663−63−6363000000000000000000000000000000000000000000000000000000000000000000
χ8012-1212-12-6006-66−636363−63000000000000000000000000000000000000000000000000000000000000000000

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