Finite Group Databasebeta

← Group #13180797

Character table — Group #13180797

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222334444466666666688888812121212121212161616161616161616161616161616181818181818363636363636363636363636484848484848108108108108
order1233466121222361212122246666121233366666661212123336661212121212121212122244442466661212121212126666664444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1
χ31111111111111111-1-11111111111111-1-111111111111111111111-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111-1-11111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-111-1-11111-1-1-11-1-11111-1-11111111-111-1-1-1111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-11-11111-1-1111-1-1-11-11-1
χ61111-111-1-11111-1-1-11-1-11111-1-11111111-111-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-111111-1-1-1-1-111111-1-1-1-11-11
χ71111-111-1-11111-1-1-1-11-11111-1-1111111-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1111-11-11
χ81111-111-1-11111-1-1-1-11-11111-1-1111111-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-11-1-1-1-111-1-1-11111-11-1
χ92222222222222222222222222-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000022000000-1-1-1-1-1-10000
χ102222222222222222-2-22222222-1-1-1-1-1-1-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000-2-20000001111110000
χ112222-222-2-22222-2-2-22-2-22222-2-2-1-1-1-1-1-12-222-2-2-2-1-1-1-1-1-11111111112-2000000002-2000000-1-1-11110000
χ122222-222-2-22222-2-2-2-22-22222-2-2-1-1-1-1-1-1-2222-2-2-2-1-1-1-1-1-1111111111-2200000000-22000000111-1-1-10000
χ13222-12-122222-1-1-1-1-1222-1-122222-1-12-1-1-1-1-1-1-1-1-12-1-12-1-12-1-122-1-1-1-12200000000-1-10000002-1-12-1-10000
χ14222-12-122222-1-1-1-1-1222-1-12222-12-1-12-1-1-1-1-1-1-1-1-12-1-12-1-12-1-1-122-1-12200000000-1-1000000-12-1-12-10000
χ15222-12-122222-1-1-1-1-1222-1-12222-1-12-1-12-1-1-1-1-1-1-1-1-12-1-12-1-12-1-1-1-1222200000000-1-1000000-1-12-1-120000
χ16222-12-122222-1-1-1-1-1-2-22-1-122222-1-12-1-111-1-1-1-1-12-1-12-1-12-1-122-1-1-1-1-2-20000000011000000-211-2110000
χ17222-12-122222-1-1-1-1-1-2-22-1-12222-12-1-12-111-1-1-1-1-1-12-1-12-1-12-1-1-122-1-1-2-200000000110000001-211-210000
χ18222-12-122222-1-1-1-1-1-2-22-1-12222-1-12-1-1211-1-1-1-1-1-1-12-1-12-1-12-1-1-1-122-2-2000000001100000011-211-20000
χ19222-1-2-12-2-222-1-11112-2-2-1-122-2-22-1-12-1-1-11-1-11112-1-12-1-1-211-2-211112-200000000-110000002-1-1-2110000
χ20222-1-2-12-2-222-1-11112-2-2-1-122-2-2-12-1-12-1-11-1-1111-12-1-12-11-2111-2-2112-200000000-11000000-12-11-210000
χ21222-1-2-12-2-222-1-11112-2-2-1-122-2-2-1-12-1-12-11-1-1111-1-12-1-1211-21111-2-22-200000000-11000000-1-1211-20000
χ22222-1-2-12-2-222-1-1111-22-2-1-122-2-22-1-12-1-11-1-1-11112-1-12-1-1-211-2-21111-22000000001-1000000-2112-1-10000
χ23222-1-2-12-2-222-1-1111-22-2-1-122-2-2-12-1-12-11-1-1-1111-12-1-12-11-2111-2-211-22000000001-10000001-21-12-10000
χ24222-1-2-12-2-222-1-1111-22-2-1-122-2-2-1-12-1-121-1-1-1111-1-12-1-1211-21111-2-2-22000000001-100000011-2-1-120000
χ2522-1222-1-1-122-1-12-1-100222-1-1-1-122222200-1-12-1-1-1-1-1-1-1-1222-1-1-1-1-1-100222222-1-100-1-1-1-1-1-10000000000
χ2622-1222-1-1-122-1-12-1-100222-1-1-1-122222200-1-12-1-1-1-1-1-1-1-1222-1-1-1-1-1-100-2-2-2-2-2-211001111110000000000
χ2722-12-22-11122-1-1-21100-222-1-11122222200-1-1-211-1-1-1-1-1-1-2-2-2111111002222-2-21100-1-1-1-1110000000000
χ2822-12-22-11122-1-1-21100-222-1-11122222200-1-1-211-1-1-1-1-1-1-2-2-211111100-2-2-2-222-1-1001111-1-10000000000
χ292-2220-2-2002-22-20000002-22-200222-2-2-2002-2000222-2-2-2000000000002i−2i2i−2i0000002i−2i2i−2i000000000000
χ302-2220-2-2002-22-20000002-22-200222-2-2-2002-2000222-2-2-200000000000−2i2i−2i2i000000−2i2i−2i2i000000000000
χ312-2-120-213−32-2-1103−30002-2-113−3222-2-2-200-1103−3-1-1-11110003−33−33−3002i−2i2i−2i00−i3i300−ii−ii−i3i30000000000
χ322-2-120-213−32-2-1103−30002-2-113−3222-2-2-200-1103−3-1-1-11110003−33−33−300−2i2i−2i2i00i3−i300i−ii−ii3−i30000000000
χ332-2-120-21−332-2-110−330002-2-11−33222-2-2-200-110−33-1-1-1111000−33−33−33002i−2i2i−2i00i3−i300−ii−iii3−i30000000000
χ342-2-120-21−332-2-110−330002-2-11−33222-2-2-200-110−33-1-1-1111000−33−33−3300−2i2i−2i2i00−i3i300i−ii−i−i3i30000000000
χ35333333333-1-13333333-1-1-1-1-1-1-100000033-1-1-1-1-1000000000000000-1-111-1-11-111-1-111-1-1-1-100000011-1-1
χ36333333333-1-13333333-1-1-1-1-1-1-100000033-1-1-1-1-1000000000000000-1-1-1-111-11-1-1-1-1-1-11111000000-1-111
χ37333333333-1-133333-3-3-1-1-1-1-1-1-1000000-3-3-1-1-1-1-10000000000000001111-1-11-1111111-1-1-1-1000000-1-111
χ38333333333-1-133333-3-3-1-1-1-1-1-1-1000000-3-3-1-1-1-1-100000000000000011-1-111-11-1-111-1-1111100000011-1-1
χ393333-333-3-3-1-133-3-3-33-31-1-1-1-1110000003-3-1-1111000000000000000-1111-1-1-11-1-1-1111-1-1110000001-1-11
χ403333-333-3-3-1-133-3-3-33-31-1-1-1-1110000003-3-1-1111000000000000000-11-1-1111-111-11-1-111-1-1000000-111-1
χ413333-333-3-3-1-133-3-3-3-331-1-1-1-111000000-33-1-11110000000000000001-111-1-1-11-1-11-111-1-111000000-111-1
χ423333-333-3-3-1-133-3-3-3-331-1-1-1-111000000-33-1-11110000000000000001-1-1-1111-1111-1-1-111-1-10000001-1-11
χ4344-2444-2-2-244-2-24-2-200444-2-2-2-2-2-2-2-2-2-200-2-24-2-2111111-2-2-21111110000000000000000000000000000
χ4444-24-44-22244-2-2-42200-444-2-222-2-2-2-2-2-200-2-2-422111111222-1-1-1-1-1-10000000000000000000000000000
χ4544-2-24-2-2-2-24411-211004-2-2-2-2-2-24-2-24-2-20011-211-211-2114-2-2-2-211110000000000000000000000000000
χ4644-2-24-2-2-2-24411-211004-2-2-2-2-2-2-24-2-24-20011-2111-211-21-24-211-2-2110000000000000000000000000000
χ4744-2-24-2-2-2-24411-211004-2-2-2-2-2-2-2-24-2-240011-21111-211-2-2-241111-2-20000000000000000000000000000
χ4844-2-2-4-2-22244112-1-100-4-2-2-2-2224-2-24-2-200112-1-1-211-211-42222-1-1-1-10000000000000000000000000000
χ4944-2-2-4-2-22244112-1-100-4-2-2-2-222-24-2-24-200112-1-11-211-212-42-1-122-1-10000000000000000000000000000
χ5044-2-2-4-2-22244112-1-100-4-2-2-2-222-2-24-2-2400112-1-111-211-222-4-1-1-1-1220000000000000000000000000000
χ514-4440-4-4004-44-40000004-44-400-2-2-2222004-4000-2-2-22220000000000000000000000000000000000000
χ524-44-202-4004-4-22000000-224-4004-2-2-42200-220004-2-2-4220000000000000000000000000000000000000
χ534-44-202-4004-4-22000000-224-400-24-22-4200-22000-24-22-420000000000000000000000000000000000000
χ544-44-202-4004-4-22000000-224-400-2-2422-400-22000-2-2422-40000000000000000000000000000000000000
χ554-4-240-4223−234-4-22023−230004-4-2223−23-2-2-222200-22023−23111-1-1-1000−33−33−330000000000000000000000000000
χ564-4-240-42−23234-4-220−23230004-4-22−2323-2-2-222200-220−2323111-1-1-10003−33−33−30000000000000000000000000000
χ574-4-2-202223−234-41-10−33000-22-2223−234-2-2-422001-10−33-2112-1-100023−23−33−330000000000000000000000000000
χ584-4-2-202223−234-41-10−33000-22-2223−23-24-22-42001-10−331-21-12-1000−3323−23−330000000000000000000000000000
χ594-4-2-202223−234-41-10−33000-22-2223−23-2-2422-4001-10−3311-2-1-12000−33−3323−230000000000000000000000000000
χ604-4-2-2022−23234-41-103−3000-22-22−23234-2-2-422001-103−3-2112-1-1000−23233−33−30000000000000000000000000000
χ614-4-2-2022−23234-41-103−3000-22-22−2323-24-22-42001-103−31-21-12-10003−3−23233−30000000000000000000000000000
χ624-4-2-2022−23234-41-103−3000-22-22−2323-2-2422-4001-103−311-2-1-120003−33−3−23230000000000000000000000000000
χ63666-36-3666-2-2-3-3-3-3-366-211-2-2-2-2000000-3-311111000000000000000-2-200000000110000000000000000
χ64666-36-3666-2-2-3-3-3-3-3-6-6-211-2-2-2-200000033111110000000000000002200000000-1-10000000000000000
χ65666-3-6-36-6-6-2-2-3-33336-6211-2-222000000-3311-1-1-1000000000000000-22000000001-10000000000000000
χ66666-3-6-36-6-6-2-2-3-3333-66211-2-2220000003-311-1-1-10000000000000002-200000000-110000000000000000
χ6766-3666-3-3-3-2-2-3-36-3-300-2-2-211110000000011-2110000000000000000022-2-22-2-1-100-1-111110000000000
χ6866-3666-3-3-3-2-2-3-36-3-300-2-2-211110000000011-21100000000000000000-2-222-22110011-1-1-1-10000000000
χ6966-36-66-333-2-2-3-3-633002-2-211-1-100000000112-1-10000000000000000022-2-2-221100-1-111-1-10000000000
χ7066-36-66-333-2-2-3-3-633002-2-211-1-100000000112-1-100000000000000000-2-2222-2-1-10011-1-1110000000000
χ716-6660-6-600-226-6000000-22-220000000000-22000000000000000000002i−2i−2i2i0000002i−2i−2i2i000000000000
χ726-6660-6-600-226-6000000-22-220000000000-2200000000000000000000−2i2i2i−2i000000−2i2i2i−2i000000000000
χ736-6-360-6333−33-22-33033−33000-221-1−33000000001-10−33000000000000000002i−2i−2i2i00−i3i300−iii−ii3−i30000000000
χ746-6-360-6333−33-22-33033−33000-221-1−33000000001-10−3300000000000000000−2i2i2i−2i00i3−i300i−i−ii−i3i30000000000
χ756-6-360-63−3333-22-330−3333000-221-13−3000000001-103−3000000000000000002i−2i−2i2i00i3−i300−iii−i−i3i30000000000
χ766-6-360-63−3333-22-330−3333000-221-13−3000000001-103−300000000000000000−2i2i2i−2i00−i3i300i−i−iii3−i30000000000
χ771212-6-612-6-6-6-6-4-433-63300-422222200000000-1-12-1-10000000000000000000000000000000000000000000
χ781212-6-6-12-6-666-4-4336-3-30042222-2-200000000-1-1-2110000000000000000000000000000000000000000000
χ7912-1212-606-1200-44-660000002-2-4400000000002-20000000000000000000000000000000000000000000000
χ8012-12-6-606663−63-443-30−33330002-22-2−232300000000-1103−30000000000000000000000000000000000000000000
χ8112-12-6-6066−6363-443-3033−330002-22-223−2300000000-110−330000000000000000000000000000000000000000000

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