Finite Group Databasebeta

← Group #13169298

Character table — Group #13169298

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order12223336666666663334666666666121244366612121212121212121212121244444121212121212121244444444121212121212121212121212121212121212121222121212121212121222662
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-111-111-1-11111-1-111-1-1-1-1111-11-11-111-1-111-1-111111-1-1-111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111111111111-111-11-1-1111111-1-1-1-111-1-111-11-11-11-1-111-1-1111111-11-1-1-1-111-1-1-1-1-11-1
χ41111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11
χ51111111111111111111111111111111-1-1111111111111111111-1111111-1-1-1-111-1-1-1-111-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1
χ61111111111111111111111111111111-1-111111111111111111-1-11-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-11-111-1-111-1-1-1-1-1-1-11-1-1-1-111-1-111-111
χ71111111111111111111111111111111-1-11111111111111111-11-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11-11-11-1-111-1-111-1-1-1-11-1-1-111-1-1-1-1111-11
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-11111-1-111-1-111-1-11-1-11-11-1-11111-1-111-1-1-11-1-111-1-11111-11-1
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1-1-11111-1-1-111-11-111-1-1-1-11111-1-11-1-1-1-1-11111111-1-1
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-1-1-1-1-1-1-1-1-1-11111111-1-11-11-1-11111-1-1-1-1111-1-1-1-1-11111-1-11-11
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-111-1-11111-111-11-111-1-1-1-111-1-111-11-1-111-1-111-1-1-111
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-111-1-1111111-1-111-1-1-1
χ17222222-12-12-1222-122-1-122-1-1-12-12-1-12222-1-1-1-12-1-1-122-1-1-1-1-1-10220200-1-122-1-1000022002-1020-10200-1-100-1-1-1-1-1-1020000-1-100000-10
χ18222222-12-12-1222-122-1-122-1-1-12-12-1-12222-1-1-1-12-1-1-122-1-1-1-1-1-10-220-2001122-1-10000-2-2002-10-2010-200110011-1-1-1-10-20000110000010
χ19222222-12-12-1222-122-1-122-1-1-12-12-1-122-2-2-1-1-1-12-1-1-122-1-1-1-1-1-102-20200-1-1-2-2110000-2-200-21020-10200-1-100-1-111110-20000110000010
χ20222222-12-12-1222-122-1-122-1-1-12-12-1-122-2-2-1-1-1-12-1-1-122-1-1-1-1-1-10-2-20-20011-2-21100002200-210-2010-2001100111111020000-1-100000-10
χ21222222-12-12-1222-122-1-1-22-1-1-12-12-1-1-2-222-1-1-1-1-2111-2-211111102-20-200-1-122-1-100002200-2102010-2001100-1-1-1-1110-20000-1-10000010
χ22222222-12-12-1222-122-1-1-22-1-1-12-12-1-1-2-222-1-1-1-1-2111-2-21111110-2-202001122-1-10000-2-200-210-20-10200-1-10011-1-1110200001100000-10
χ23222222-12-12-1222-122-1-1-22-1-1-12-12-1-1-2-2-2-2-1-1-1-1-2111-2-21111110220-200-1-1-2-2110000-2-2002-102010-2001100-1-111-1-10200001100000-10
χ24222222-12-12-1222-122-1-1-22-1-1-12-12-1-1-2-2-2-2-1-1-1-1-2111-2-21111110-22020011-2-211000022002-10-20-10200-1-1001111-1-10-20000-1-10000010
χ2522222-12-12-1222-122-12-12-12-1-1-12-12-12222-1-1-1-1-12-1-1-1-122-1-1-1-120220-1-100-1-12200220000-1220-1020-1-100-1-100-1-1-1-12000-1-1000000-100
χ2622222-12-12-1222-122-12-12-12-1-1-12-12-12222-1-1-1-1-12-1-1-1-122-1-1-1-1-202-201100-1-12200-2-20000-12-2010-2011001100-1-1-1-1-200011000000100
χ2722222-12-12-1222-122-12-12-12-1-1-12-12-122-2-2-1-1-1-1-12-1-1-1-122-1-1-1-120-220-1-10011-2-200-2-200001-220-1020-1-100-1-1001111-200011000000100
χ2822222-12-12-1222-122-12-12-12-1-1-12-12-122-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1-20-2-20110011-2-2002200001-2-2010-201100110011112000-1-1000000-100
χ2922222-12-12-1222-122-12-1-2-12-1-1-12-12-1-2-222-1-1-1-11-21111-2-2111120-2-20-1-100-1-122002200001-22010-201100-1-100-1-111-2000-1-1000000100
χ3022222-12-12-1222-122-12-1-2-12-1-1-12-12-1-2-222-1-1-1-11-21111-2-21111-20-2201100-1-12200-2-200001-2-20-1020-1-1001100-1-111200011000000-100
χ3122222-12-12-1222-122-12-1-2-12-1-1-12-12-1-2-2-2-2-1-1-1-11-21111-2-21111202-20-1-10011-2-200-2-20000-122010-201100-1-10011-1-1200011000000-100
χ3222222-12-12-1222-122-12-1-2-12-1-1-12-12-1-2-2-2-2-1-1-1-11-21111-2-21111-20220110011-2-200220000-12-20-1020-1-100110011-1-1-2000-1-1000000100
χ332222-1222222-1-122-1-1-122-1-122-1-1-1-12-1-100-1-1-1-12222-1-1-1-1-1-1-1-122022222200002200002200-1-122-1-1-1-1-1-1-1-1-1-1000000-1-10000-1-100000
χ342222-1222222-1-122-1-1-122-1-122-1-1-1-12-1-100-1-1-1-12222-1-1-1-1-1-1-1-12-202-222-2-20000-2-20000-2-200-112-2-11-1-111-1-1110000001100001100000
χ352222-1222222-1-122-1-1-122-1-122-1-1-1-12-1-100-1-1-1-12222-1-1-1-1-1-1-1-1-220-22-2-2220000-2-20000-2-2001-1-221-111-1-111-1-10000001100001100000
χ362222-1222222-1-122-1-1-122-1-122-1-1-1-12-1-100-1-1-1-12222-1-1-1-1-1-1-1-1-2-20-2-2-2-2-2-20000220000220011-2-21111111111000000-1-10000-1-100000
χ372222-1222222-1-122-1-1-12-2-1-122-1-1-1-121100-1-1-1-1-2-2-2-211111111220-2-222220000220000-2-200-1-1-2-2111111-1-1-1-1000000-1-100001100000
χ382222-1222222-1-122-1-1-12-2-1-122-1-1-1-121100-1-1-1-1-2-2-2-2111111112-20-2222-2-20000-2-200002200-11-221-111-1-1-1-111000000110000-1-100000
χ392222-1222222-1-122-1-1-12-2-1-122-1-1-1-121100-1-1-1-1-2-2-2-211111111-2202-2-2-2220000-2-2000022001-12-2-11-1-11111-1-1000000110000-1-100000
χ402222-1222222-1-122-1-1-12-2-1-122-1-1-1-121100-1-1-1-1-2-2-2-211111111-2-2022-2-2-2-20000220000-2-2001122-1-1-1-1-1-11111000000-1-100001100000
χ4122-2-222222-2-22-2-2-2-22220-2-2-22-2-222-2002i−2i2-2-220000000000000000000002i−2i2i−2i0000002i−2i00000000000000002i−2i00000000002i−2i2-2000
χ4222-2-222222-2-22-2-2-2-22220-2-2-22-2-222-2002i−2i2-2-220000000000000000000002i−2i2i−2i000000−2i2i00000000000000002i−2i0000000000−2i2i-22000
χ4322-2-222222-2-22-2-2-2-22220-2-2-22-2-222-200−2i2i2-2-22000000000000000000000−2i2i−2i2i0000002i−2i0000000000000000−2i2i00000000002i−2i-22000
χ4422-2-222222-2-22-2-2-2-22220-2-2-22-2-222-200−2i2i2-2-22000000000000000000000−2i2i−2i2i000000−2i2i0000000000000000−2i2i0000000000−2i2i2-2000
χ452-22-2222-2-222-22-2-2-2222022-2-2-2-2-2-22000022-2-200000000000000000000000002-22i−2i2i−2i0000000000000000000000002-22i−2i2i−2i0000000
χ462-22-2222-2-222-22-2-2-2222022-2-2-2-2-2-22000022-2-200000000000000000000000002-2−2i2i−2i2i0000000000000000000000002-2−2i2i−2i2i0000000
χ472-22-2222-2-222-22-2-2-2222022-2-2-2-2-2-22000022-2-20000000000000000000000000-222i−2i−2i2i000000000000000000000000-222i−2i−2i2i0000000
χ482-22-2222-2-222-22-2-2-2222022-2-2-2-2-2-22000022-2-20000000000000000000000000-22−2i2i2i−2i000000000000000000000000-22−2i2i2i−2i0000000
χ4944444-2-2-2-2-2-244-2-24-2-214-2-211-2-2-2-2144441111-2-211-2-2-2-21111004000000-2-2-2-200000000-2-2000000000000001111000000000000000
χ5044444-2-2-2-2-2-244-2-24-2-214-2-211-2-2-2-2144-4-41111-2-211-2-2-2-2111100-40000002222000000002200000000000000-1-1-1-1000000000000000
χ5144444-2-2-2-2-2-244-2-24-2-21-4-2-211-2-2-2-21-4-444111122-1-12222-1-1-1-100-4000000-2-2-2-200000000220000000000000011-1-1000000000000000
χ5244444-2-2-2-2-2-244-2-24-2-21-4-2-211-2-2-2-21-4-4-4-4111122-1-12222-1-1-1-1004000000222200000000-2-200000000000000-1-111000000000000000
χ534444-24-24-24-2-2-24-2-2-21-24-21-2-2-21-21-2-2-20011114-2-2-2-2-21111110400400-2-2000000000000000-20-20-2001100110000000000000000000
χ544444-24-24-24-2-2-24-2-2-21-24-21-2-2-21-21-2-2-20011114-2-2-2-2-21111110-400-400220000000000000002020200-1-100-1-10000000000000000000
χ554444-24-24-24-2-2-24-2-2-21-2-4-21-2-2-21-21-222001111-422222-1-1-1-1-1-10400-400-2-2000000000000000-2020200-1-100110000000000000000000
χ564444-24-24-24-2-2-24-2-2-21-2-4-21-2-2-21-21-222001111-422222-1-1-1-1-1-10-4004002200000000000000020-20-2001100-1-10000000000000000000
χ574444-2-24-24-24-2-2-24-21-2-241-2-2-21-21-2-2-2-2001111-24-2-211-2-2111140040-2-20000000000000000-20-20-20110011000000000000000000000
χ584444-2-24-24-24-2-2-24-21-2-241-2-2-21-21-2-2-2-2001111-24-2-211-2-21111-400-40220000000000000000202020-1-100-1-1000000000000000000000
χ594444-2-24-24-24-2-2-24-21-2-2-41-2-2-21-21-2-2220011112-422-1-122-1-1-1-1400-40-2-20000000000000000-202020-1-10011000000000000000000000
χ604444-2-24-24-24-2-2-24-21-2-2-41-2-2-21-21-2-2220011112-422-1-122-1-1-1-1-4004022000000000000000020-20-201100-1-1000000000000000000000
χ6144-4-444-24-2-424-4-42-44-2-20-422-2-424-22004i−4i-222-20000000000000000000004i−4i−2i2i000000000000000000000000−2i2i00000000000000000
χ6244-4-444-24-2-424-4-42-44-2-20-422-2-424-2200−4i4i-222-2000000000000000000000−4i4i2i−2i0000000000000000000000002i−2i00000000000000000
χ6344-4-44-24-242-44-42-4-4-24-202-42-22-4-242004i−4i-222-2000000000000000000000−2i2i4i−4i000000000000000000000000−2i2i00000000000000000
χ6444-4-44-24-242-44-42-4-4-24-202-42-22-4-24200−4i4i-222-20000000000000000000002i−2i−4i4i0000000000000000000000002i−2i00000000000000000
χ6544-4-44-2-2-2-2224-422-4-2-21022-1122-2-2-1004i−4i1-1-11003-3000033-3-3000000000−2i2i−2i2i000000000000000000000000i−i3i−3i000000000000000
χ6644-4-44-2-2-2-2224-422-4-2-21022-1122-2-2-1004i−4i1-1-1100-330000-3-333000000000−2i2i−2i2i000000000000000000000000i−i−3i3i000000000000000
χ6744-4-44-2-2-2-2224-422-4-2-21022-1122-2-2-100−4i4i1-1-11003-3000033-3-30000000002i−2i2i−2i000000000000000000000000−ii−3i3i000000000000000
χ6844-4-44-2-2-2-2224-422-4-2-21022-1122-2-2-100−4i4i1-1-1100-330000-3-3330000000002i−2i2i−2i000000000000000000000000−ii3i−3i000000000000000
χ6944-4-4-24444-4-4-22-4-42-2-24022-4422-2-2-40000-222-200000000000000000000000000000004i−4i0000000000000000000000000000−2i2i00000
χ7044-4-4-24444-4-4-22-4-42-2-24022-4422-2-2-40000-222-20000000000000000000000000000000−4i4i00000000000000000000000000002i−2i00000
χ714-44-444-2-424-2-44-42-44-2-204-222-42-42-20000-2-222000000000000000000000000000004i−4i0000000000000000000000000000−2i2i0000000
χ724-44-444-2-424-2-44-42-44-2-204-222-42-42-20000-2-22200000000000000000000000000000−4i4i00000000000000000000000000002i−2i0000000
χ734-44-44-242-4-24-442-4-4-24-20-24222-42-4-20000-2-2220000000000000000000000000004i−4i0000000000000000000000000000−2i2i000000000
χ744-44-44-242-4-24-442-4-4-24-20-24222-42-4-20000-2-222000000000000000000000000000−4i4i00000000000000000000000000002i−2i000000000
χ754-44-4-244-4-4442-2-4-42-2-240-2-2-4-4222240000-2-22200000000000000000000000004-40000000000000000000000000000-2200000000000
χ764-44-4-244-4-4442-2-4-42-2-240-2-2-4-4222240000-2-2220000000000000000000000000-4400000000000000000000000000002-200000000000
χ774-4-44444-4-4-4-4-4-44444440-4-44-444-4-4-400004-44-400000000000000000000000000000000000000000000000000000000000000000000
χ784-4-4444-2-42-42-4-44-244-2-20-42-224-2-4220000-22-22000000000000000000023−230000000000000000000000000023−230000000000000000000
χ794-4-4444-2-42-42-4-44-244-2-20-42-224-2-4220000-22-220000000000000000000−232300000000000000000000000000−23230000000000000000000
χ804-4-444-242-42-4-4-4-244-24-202-4-22-242-420000-22-220000000000000000023−230000000000000000000000000023−23000000000000000000000
χ814-4-444-242-42-4-4-4-244-24-202-4-22-242-420000-22-2200000000000000000−232300000000000000000000000000−2323000000000000000000000
χ824-4-44-244-4-4-4-42244-2-2-240224-4-2-222-423−2300-22-22000023−2323−2323−2323−2300000000000000000000000000000000000000000000000000000000
χ834-4-44-244-4-4-4-42244-2-2-240224-4-2-222-4−232300-22-220000−2323−2323−2323−232300000000000000000000000000000000000000000000000000000000
χ844-4-44-24-2-42-42224-2-2-21-202-1-22-212-1223−23001-11-1000023−23−33−33−33000000023−2300000000000000000000003-300−330000000000000000000
χ854-4-44-24-2-42-42224-2-2-21-202-1-22-212-1223−23001-11-1000023−23−33−33−330000000−23230000000000000000000000-33003−30000000000000000000
χ864-4-44-24-2-42-42224-2-2-21-202-1-22-212-12−2323001-11-10000−23233−33−33−3000000023−230000000000000000000000-3300−330000000000000000000
χ874-4-44-24-2-42-42224-2-2-21-202-1-22-212-12−2323001-11-10000−23233−33−33−30000000−232300000000000000000000003-3003−30000000000000000000
χ884-4-44-2-242-42-422-24-21-2-20-12-221-2-12223−23001-11-10000−3323−23−33−330000023−2300000000000000000000003-300−33000000000000000000000
χ894-4-44-2-242-42-422-24-21-2-20-12-221-2-12223−23001-11-10000−3323−23−33−3300000−23230000000000000000000000-33003−3000000000000000000000
χ904-4-44-2-242-42-422-24-21-2-20-12-221-2-122−2323001-11-100003−3−23233−33−30000023−230000000000000000000000-3300−33000000000000000000000
χ914-4-44-2-242-42-422-24-21-2-20-12-221-2-122−2323001-11-100003−3−23233−33−300000−232300000000000000000000003-3003−3000000000000000000000
χ928888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-400-1-1-1-1-4-4222222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ938888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224400-1-1-1-144-2-2-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ9488-8-8-48-48-4-84-44-844-42-404-24-44-2-42400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-48-484-8-444-842-4-40-244-4-242-4400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-4-4-444-444442220-2-2-22-2-222-20000-111-1006-60000-3-33300000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-4-4-444-444442220-2-2-22-2-222-20000-111-100-66000033-3-300000000000000000000000000000000000000000000000000000000
χ988-88-88-4-444-4-4-8844-8-4-420-4-4-2-244442000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-48-4-848-44-4-844-42-40-42444-24-2-4000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-484-8-484-44-842-4-402-444-24-24-4000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-444-4-44-4444222022-2-2-2-2-2-220000-1-1110000000033−33−333300000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-444-4-44-4444222022-2-2-2-2-2-220000-1-11100000000−333333−3300000000000000000000000000000000000000000000000000000000
χ1038-8-888-4-44444-8-8-4-48-4-420442-2-4-444-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4444444-4-4-42220-2-22-222-2-2-243−4300-11-110000−2323−23233−33−300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4444444-4-4-42220-2-22-222-2-2-2−434300-11-11000023−2323−23−33−3300000000000000000000000000000000000000000000000000000000

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