Finite Group Databasebeta

← Group #13168243

Character table — Group #13168243

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order122233366666666633346666666661212443666121212121212121212121212244441212121212121212224444446666121212121212121212121212121212122466121212121212446122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-1111111-1-111-1-1-1-1-1-111111-111-1-11111-1-111-1-11-111-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111111111111-111-111111-1-111-1-1-1-111-1-1-1-1-1-1111-11111-1-1111111-11-1-1-1-1-1-111-1-1-11-1
χ41111111111111111111111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11-11-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11
χ51111111111111111111111111111111-1-111111111111111111-1111-1-1-1-11111-1-111-1-1111111-11-1111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111111111111111111-1-11-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-11-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1-1-11111-111
χ71111111111111111111111111111111-1-11111111111111111-1-11-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1111-111-1-1-1-1-1-1111-11
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
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-1-1-111111111-11-1-1-1-111-1-1-1-1-1-1111-1-1-111-1-111111-1-1
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-1111
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111111111-1-1-1-1-1-1-11-11-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1111111111-1-1-1-1-111111-1-1-1-111-11-1
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-111
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1111111-1-111111-11-111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111-1-11111-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11111-1-1111111-1-11-1-1-111-1-111-1-11-11
χ17222222-1-122-1-122222-1-122-1-1-12-1-12-12222-1-1-1-1-12-1-122-1-1-1-1-1-12202022-1-1-1-100220000002-1-1-1-102200-1-1-1-100-1-10020-1-100000000-100
χ18222222-1-122-1-122222-1-122-1-1-12-1-12-12222-1-1-1-1-12-1-122-1-1-1-1-1-1-220-2022-1-11100-2-2000000-2111-102-200-1-11100-1-100-201100000000100
χ19222222-1-122-1-122222-1-122-1-1-12-1-12-122-2-2-1-1-1-1-12-1-122-1-1-1-1-1-12-2020-2-211-1-100-2-20000002-1-1-110-220011-1-1001100-201100000000100
χ20222222-1-122-1-122222-1-122-1-1-12-1-12-122-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-2-20-20-2-211110022000000-211110-2-200111100110020-1-100000000-100
χ21222222-1-122-1-122222-1-1-22-1-1-12-1-12-1-2-222-1-1-1-11-211-2-21111112-20-2022-1-11100-2-20000002-1-1-110-2-200-1-111001100201100000000-100
χ22222222-1-122-1-122222-1-1-22-1-1-12-1-12-1-2-222-1-1-1-11-211-2-2111111-2-202022-1-1-1-10022000000-211110-2200-1-1-1-1001100-20-1-100000000100
χ23222222-1-122-1-122222-1-1-22-1-1-12-1-12-1-2-2-2-2-1-1-1-11-211-2-2111111220-20-2-2111100220000002-1-1-1-102-200111100-1-100-20-1-100000000100
χ24222222-1-122-1-122222-1-1-22-1-1-12-1-12-1-2-2-2-2-1-1-1-11-211-2-2111111-22020-2-211-1-100-2-2000000-2111-10220011-1-100-1-100201100000000-100
χ2522222-1222-1222-1-12-12-12-12-1-1-12-1-12-1-100-1-1-1-122-1-1-1-122-1-1-1-1202220000222200220022-12-1-10-10-1-1200-1-1-1-100-1-10000-1-1-1-10000000
χ2622222-1222-1222-1-12-12-12-12-1-1-12-1-12-1-100-1-1-1-122-1-1-1-122-1-1-1-120-22-2000022-2-200-2-200-2-2-12-1-1010-11-200-1-1110011000011110000000
χ2722222-1222-1222-1-12-12-12-12-1-1-12-1-12-1-100-1-1-1-122-1-1-1-122-1-1-1-1-202-220000-2-22200-2-200-2-21-2110-101-120011-1-100-1-1000011110000000
χ2822222-1222-1222-1-12-12-12-12-1-1-12-1-12-1-100-1-1-1-122-1-1-1-122-1-1-1-1-20-2-2-20000-2-2-2-2002200221-21101011-200111100110000-1-1-1-10000000
χ2922222-1222-1222-1-12-12-1-2-12-1-1-12-1-121100-1-1-1-1-2-21111-2-21111202-2-20000-2-22200-2-20022-12-1-10-1011-200111100-1-10000-1-1110000000
χ3022222-1222-1222-1-12-12-1-2-12-1-1-12-1-121100-1-1-1-1-2-21111-2-2111120-2-220000-2-2-2-2002200-2-2-12-1-10101-120011-1-10011000011-1-10000000
χ3122222-1222-1222-1-12-12-1-2-12-1-1-12-1-121100-1-1-1-1-2-21111-2-21111-2022-200002222002200-2-21-2110-10-11-200-1-11100-1-1000011-1-10000000
χ3222222-1222-1222-1-12-12-1-2-12-1-1-12-1-121100-1-1-1-1-2-21111-2-21111-20-222000022-2-200-2-200221-211010-1-1200-1-1-1-100110000-1-1110000000
χ332222-1222-1222-122-1-1-122-1-122-1-12-1-12222-1-1-1-12-122-1-1-1-1-1-1-1-102202-1-12200-1-100002200000022-102-1-1-100-1-1-1-1-1-102000000-1-1000-10
χ342222-1222-1222-122-1-1-122-1-122-1-12-1-12222-1-1-1-12-122-1-1-1-1-1-1-1-102-20-2-1-12200110000-2-20000002-2-10-21-1-10011-1-1110-20000001100010
χ352222-1222-1222-122-1-1-122-1-122-1-12-1-122-2-2-1-1-1-12-122-1-1-1-1-1-1-1-10-220211-2-200-1-10000-2-2000000-22102-11100-1-111-1-10-20000001100010
χ362222-1222-1222-122-1-1-122-1-122-1-12-1-122-2-2-1-1-1-12-122-1-1-1-1-1-1-1-10-2-20-211-2-20011000022000000-2-210-21110011111102000000-1-1000-10
χ372222-1222-1222-122-1-1-12-2-1-122-1-12-1-1-2-222-1-1-1-1-21-2-2111111110-220-2-1-12200-1-1000022000000-2210-21-1-1001111-1-10-2000000-1-100010
χ382222-1222-1222-122-1-1-12-2-1-122-1-12-1-1-2-222-1-1-1-1-21-2-2111111110-2-202-1-12200110000-2-2000000-2-2102-1-1-100-1-111110200000011000-10
χ392222-1222-1222-122-1-1-12-2-1-122-1-12-1-1-2-2-2-2-1-1-1-1-21-2-2111111110220-211-2-200-1-10000-2-200000022-10-21110011-1-1-1-10200000011000-10
χ402222-1222-1222-122-1-1-12-2-1-122-1-12-1-1-2-2-2-2-1-1-1-1-21-2-21111111102-20211-2-200110000220000002-2-102-11100-1-1-1-1110-2000000-1-100010
χ4122-2-2222-2-222-22-2-2-22220-2-2-22-2-2-22200002-2-2200000000000000000000000002-22i−2i2i−2i0000000000000000000000002-2002i−2i2i−2i00000
χ4222-2-2222-2-222-22-2-2-22220-2-2-22-2-2-22200002-2-2200000000000000000000000002-2−2i2i−2i2i0000000000000000000000002-200−2i2i−2i2i00000
χ4322-2-2222-2-222-22-2-2-22220-2-2-22-2-2-22200002-2-220000000000000000000000000-222i−2i−2i2i000000000000000000000000-22002i−2i−2i2i00000
χ4422-2-2222-2-222-22-2-2-22220-2-2-22-2-2-22200002-2-220000000000000000000000000-22−2i2i2i−2i000000000000000000000000-2200−2i2i2i−2i00000
χ452-22-2222-22-2-22-22-2-222202-2-2-2-222-2-2002-222-2-2000000000000000002-22-200000000002i−2i00000000002-20000000000002i−2i00002i−2i000
χ462-22-2222-22-2-22-22-2-222202-2-2-2-222-2-2002-222-2-2000000000000000002-22-20000000000−2i2i00000000002-2000000000000−2i2i0000−2i2i000
χ472-22-2222-22-2-22-22-2-222202-2-2-2-222-2-200-2222-2-200000000000000000-22-2200000000002i−2i0000000000-220000000000002i−2i0000−2i2i000
χ482-22-2222-22-2-22-22-2-222202-2-2-2-222-2-200-2222-2-200000000000000000-22-220000000000−2i2i0000000000-22000000000000−2i2i00002i−2i000
χ4944444-2-2-24-2-2-24-2-24-2-214-2-211-2-21-2-2-2-2001111-2411-2-2-2-21111400400000-2-20000000000-2-211000-2000011000000000000000000000
χ5044444-2-2-24-2-2-24-2-24-2-214-2-211-2-21-2-2-2-2001111-2411-2-2-2-21111-400-40000022000000000022-1-100020000-1-1000000000000000000000
χ5144444-2-2-24-2-2-24-2-24-2-21-4-2-211-2-21-2-2220011112-4-1-12222-1-1-1-1400-400000220000000000-2-21100020000-1-1000000000000000000000
χ5244444-2-2-24-2-2-24-2-24-2-21-4-2-211-2-21-2-2220011112-4-1-12222-1-1-1-1-400400000-2-2000000000022-1-1000-2000011000000000000000000000
χ534444-24-2-2-24-2-2-244-2-21-24-21-2-2-21-2-2144441111-2-2-2-2-2-211111104000-2-2-2-20000000000000000-20-20001100001100000000000000000
χ544444-24-2-2-24-2-2-244-2-21-24-21-2-2-21-2-2144-4-41111-2-2-2-2-2-21111110-400022220000000000000000202000-1-10000-1-100000000000000000
χ554444-24-2-2-24-2-2-244-2-21-2-4-21-2-2-21-2-21-4-4441111222222-1-1-1-1-1-10-4000-2-2-2-20000000000000000202000110000-1-100000000000000000
χ564444-24-2-2-24-2-2-244-2-21-2-4-21-2-2-21-2-21-4-4-4-41111222222-1-1-1-1-1-10400022220000000000000000-20-2000-1-100001100000000000000000
χ574444-2-244-2-244-2-2-2-21-2-241-2-2-21-2-21-2-2-20011114-2-2-211-2-2111100404000000-2-20000000000000-200-2-20000110011000000000000000
χ584444-2-244-2-244-2-2-2-21-2-241-2-2-21-2-21-2-2-20011114-2-2-211-2-2111100-40-4000000220000000000000200220000-1-100-1-1000000000000000
χ594444-2-244-2-244-2-2-2-21-2-2-41-2-2-21-2-21-222001111-4222-1-122-1-1-1-10040-4000000-2-20000000000000-200220000-1-10011000000000000000
χ604444-2-244-2-244-2-2-2-21-2-2-41-2-2-21-2-21-222001111-4222-1-122-1-1-1-100-404000000220000000000000200-2-200001100-1-1000000000000000
χ6144-4-444-22-44-224-4-4-44-2-20-422-2-4224-20000-222-200000000000000000000000004-40000000000000000000000000000-2200000000000
χ6244-4-444-22-44-224-4-4-44-2-20-422-2-4224-20000-222-20000000000000000000000000-4400000000000000000000000000002-200000000000
χ6344-4-44-24-4-4-24-4422-4-24-202-42-22-42-240000-222-20000000000000000000000000004i−4i000000000000000000000000000000−2i2i0000000
χ6444-4-44-24-4-4-24-4422-4-24-202-42-22-42-240000-222-2000000000000000000000000000−4i4i0000000000000000000000000000002i−2i0000000
χ6544-4-4-244-4244-4-2-4-42-2-24022-4422-4-2-20000-222-2000000000000000000000000000004i−4i000000000000000000000000000000−2i2i00000
χ6644-4-4-244-4244-4-2-4-42-2-24022-4422-4-2-20000-222-200000000000000000000000000000−4i4i0000000000000000000000000000002i−2i00000
χ674-44-444-224-42-2-44-4-44-2-204222-4-2-2-42004-4-2-222000000000000000004-4-220000000000000000000000-2200000000000000000000000
χ684-44-444-224-42-2-44-4-44-2-204222-4-2-2-4200-44-2-22200000000000000000-442-200000000000000000000002-200000000000000000000000
χ694-44-44-24-442-44-4-22-4-24-20-2-42224-22-40000-2-22200000000000000000000000000000004i−4i000000000000000000000000−2i2i000000000
χ704-44-44-24-442-44-4-22-4-24-20-2-42224-22-40000-2-2220000000000000000000000000000000−4i4i0000000000000000000000002i−2i000000000
χ714-44-4-244-4-2-4-4424-42-2-240-22-4-42-2422004-4-2-22200000000000000000-224-40000000000000000000000-2200000000000000000000000
χ724-44-4-244-4-2-4-4424-42-2-240-22-4-42-242200-44-2-222000000000000000002-2-4400000000000000000000002-200000000000000000000000
χ734-44-4-24-22-2-42-224-42-21-20-2-12221-22-1004-411-1-10000003i−3i3i3i−3i−3i00000-22-2200000000000000000000001-100003i−3i00000000000000000
χ744-44-4-24-22-2-42-224-42-21-20-2-12221-22-1004-411-1-1000000−3i3i−3i−3i3i3i00000-22-2200000000000000000000001-10000−3i3i00000000000000000
χ754-44-4-24-22-2-42-224-42-21-20-2-12221-22-100-4411-1-10000003i−3i3i3i−3i−3i000002-22-20000000000000000000000-110000−3i3i00000000000000000
χ764-44-4-24-22-2-42-224-42-21-20-2-12221-22-100-4411-1-1000000−3i3i−3i−3i3i3i000002-22-20000000000000000000000-1100003i−3i00000000000000000
χ774-4-444444-4-4-4-4-4-4444440-444-44-4-4-4-400004-44-400000000000000000000000000000000000000000000000000000000000000000000
χ784-4-4444-2-2-4-422-4-4444-2-20-4-2-22422-420000-22-2200000000000000000000023−23000000000000000000000023−23000000000000000000000
χ794-4-4444-2-2-4-422-4-4444-2-20-4-2-22422-420000-22-22000000000000000000000−23230000000000000000000000−2323000000000000000000000
χ804-4-444-244-42-4-4-42-24-24-2024-22-2-422-423−2300-22-220023−2323−230023−2323−2300000000000000000000000000000000000000000000000000000000
χ814-4-444-244-42-4-4-42-24-24-2024-22-2-422-4−232300-22-2200−2323−232300−2323−232300000000000000000000000000000000000000000000000000000000
χ824-4-444-2-2-2-4222-42-24-2-2102-21-1-22-12223−23001-11-100−3323−2300−33−3300000000023−230000000000003-300000000−33000000000000000000000
χ834-4-444-2-2-2-4222-42-24-2-2102-21-1-22-12223−23001-11-100−3323−2300−33−33000000000−2323000000000000-33000000003−3000000000000000000000
χ844-4-444-2-2-2-4222-42-24-2-2102-21-1-22-122−2323001-11-1003−3−2323003−33−300000000023−23000000000000-3300000000−33000000000000000000000
χ854-4-444-2-2-2-4222-42-24-2-2102-21-1-22-122−2323001-11-1003−3−2323003−33−3000000000−23230000000000003-3000000003−3000000000000000000000
χ864-4-44-24442-4-4-42-44-2-2-2402-24-4-22-4220000-22-220000000000000000000000023−230000000000000000000000000023−23000000000000000
χ874-4-44-24442-4-4-42-44-2-2-2402-24-4-22-4220000-22-2200000000000000000000000−232300000000000000000000000000−2323000000000000000
χ884-4-44-2-24422-4-422-2-21-2-20-1-2-22122-1223−23001-11-10023−23−3300−33−330000000000023−2300000000000000000000003-300−33000000000000000
χ894-4-44-2-24422-4-422-2-21-2-20-1-2-22122-1223−23001-11-10023−23−3300−33−3300000000000−23230000000000000000000000-33003−3000000000000000
χ904-4-44-2-24422-4-422-2-21-2-20-1-2-22122-12−2323001-11-100−23233−3003−33−30000000000023−230000000000000000000000-3300−33000000000000000
χ914-4-44-2-24422-4-422-2-21-2-20-1-2-22122-12−2323001-11-100−23233−3003−33−300000000000−232300000000000000000000003-3003−3000000000000000
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
χ9488-8-88-4-44-8-4-44844-8-4-42044-2244-2-4-400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-48-4448-44-4-8-84-42-404-24-44-24-4200002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-48-84-48-8-44442-4-40-244-4-2442-400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-444-4-44-44442220-2-2-22-2-2-2220000-111-100000000−3i33i33i3−3i300000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-444-4-44-44442220-2-2-22-2-2-2220000-111-1000000003i3−3i3−3i33i300000000000000000000000000000000000000000000000000000000
χ998-88-88-4-44844-4-8-44-8-4-420-44-2-24-4244000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-48-8-44-884-4442-4-402444-2-4-4-24000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-44-444-44-44422202-2-2-2-222-2-20000-1-1110000006i−6i−3i−3i3i3i00000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-44-444-44-44422202-2-2-2-222-2-20000-1-111000000−6i6i3i3i−3i−3i00000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4-44-8444-88-4-42-4042-44-4-244-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-4444444-4-42220-222-22-2-2-2-243−4300-11-1100−2323−2323003−33−300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-4444444-4-42220-222-22-2-2-2-2−434300-11-110023−2323−2300−33−3300000000000000000000000000000000000000000000000000000000

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