Finite Group Databasebeta

← Group #13172125

Character table — Group #13172125

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222244444444444444488888888888888881212121212121212121212121212181818181818242424242424242424242424242424242424242436363636363636363636367272108108
order122233366666666623336666666666636666666666666662224446612121212121244444466666666666121212121212121212244121212121212121261244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-111-1111111-1-1-1-111-1-11-1-1111111-1-11-111111-1-11-1-111-1-1-1-1-1-11-1-1-1
χ3111111111111111111111111111111111111111111111111-111-111111-1-111-1-1-1-111-1111-111-1-111-11111-1-111-11-1-1-111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111111111111111111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-11-111-1-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-11111-1-111
χ511111111111111111111111111111111111111111111111-111-111-1-1-1-1111111-1-1-1-1111-11-1-1111111-1-1-11111-1-11-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111-11-1-11-1-1-1-1-111-1-1-1-1-1-1111-1-1-11-1-111-1-11-1-1-1-111-1-1-11-1-1-111-1-1-1-1-1111
χ711111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-1-1-111-1-111-1-1-111-1-1-1-1-1-111-11-1-1-1-1-1111-1-111-1-1-1-1-1-11-111
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ91111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1
χ101111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-1111111111-1-1111111-1-1-11-1-1-1-1-111-1-1-11111-1-111-1-1-11
χ111111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-11-11-111-1-111-1-111-1-1-1-1-1111-111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-11111-11
χ121111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-11111-1-11111-1-1-1-111-1-1-11-111-1-1-1-111-1-1-111111-11-1-11111-1-11-11-1
χ131111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111-11-1-11111-1-1111-1-1-1-11-11-1-11111-1-11-1-11
χ141111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-11-1-111-1-11111-1-1-1-11-1-1-11-1-111-1-1-11111-1-11111-1-1-1-1-1-1-111111-1
χ151111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1111111-111-1-1-1-1-1-1111-111111-1-1-1-1-11111-1-111-1-11-1
χ161111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-111-1-1-11-11
χ17222222-122-1-12-122222-1-12222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-122022022-1-1-1-100002200200-1-1-1-1-1-100202-1-1-1-100200-1-1000000-1000
χ18222222-122-1-12-122222-1-12222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12-202-2022-1-1110000-2-200-200-11-1-11100-202-1-11100-200110000001000
χ19222222-122-1-12-122222-1-12222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-220-220-2-211-1-10000-2-2002001-111-1-10020-211-1-100-200110000001000
χ20222222-122-1-12-122222-1-12222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-2-20-2-20-2-2111100002200-20011111100-20-2111100200-1-1000000-1000
χ21222222-122-1-12-1222-22-1-1-2-222-1-1-1-12-1-1-1-21-2-21111-1-1-11111220-2-2022111100002200200-1-1-1-1-1-100-20-2111100-200-1-10000001000
χ22222222-122-1-12-1222-22-1-1-2-222-1-1-1-12-1-1-1-21-2-21111-1-1-111112-20-2202211-1-10000-2-200-200-11-1-1110020-211-1-10020011000000-1000
χ23222222-122-1-12-1222-22-1-1-2-222-1-1-1-12-1-1-1-21-2-21111-1-1-11111-2202-20-2-2-1-1110000-2-2002001-111-1-100-202-1-1110020011000000-1000
χ24222222-122-1-12-1222-22-1-1-2-222-1-1-1-12-1-1-1-21-2-21111-1-1-11111-2-20220-2-2-1-1-1-100002200-20011111100202-1-1-1-100-200-1-10000001000
χ2522222-122-12222-1-122-12-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-1202202-1-12200-1-100002202-120-1-100-1-102-1-1-100-1-102000-1-100000-100
χ2622222-122-12222-1-122-12-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-120-220-2-1-12200110000-2-20-2120-1-100110-2-1-1-100110-20001100000100
χ2722222-122-12222-1-122-12-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-1-202-20211-2-200-1-10000-2-202-1-201100-1-10211100-1-10-20001100000100
χ2822222-122-12222-1-122-12-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-1-20-2-20-211-2-200110000220-21-201100110-2111001102000-1-100000-100
χ2922222-122-12222-1-12-2-12-1-2-2-1-122-1-1-12-1-11-211-2-211-1-1-11111202-20-2-1-1-2-200110000-2-202-120-1-100-1-10-21110011020001100000-100
χ3022222-122-12222-1-12-2-12-1-2-2-1-122-1-1-12-1-11-211-2-211-1-1-1111120-2-202-1-1-2-200-1-10000220-2120-1-100110211100-1-10-2000-1-100000100
χ3122222-122-12222-1-12-2-12-1-2-2-1-122-1-1-12-1-11-211-2-211-1-1-11111-20220-21122001100002202-1-201100-1-10-2-1-1-100110-2000-1-100000100
χ3222222-122-12222-1-12-2-12-1-2-2-1-122-1-1-12-1-11-211-2-211-1-1-11111-20-2202112200-1-10000-2-20-21-2011001102-1-1-100-1-1020001100000-100
χ332222-122-1222-1222-12-1-12-1-1-1-1-1-122-1-12-122-1-1-1-122-1-1-1-1-1-1-102202200002222220000-1-120200-1-1-1-1-1-1000-1-1-1-10020000-1-1-1-10000
χ342222-122-1222-1222-12-1-12-1-1-1-1-1-122-1-12-122-1-1-1-122-1-1-1-1-1-1-102-202-2000022-2-2-2-20000-11-20200-1-111-11000-1-11100-2000011110000
χ352222-122-1222-1222-12-1-12-1-1-1-1-1-122-1-12-122-1-1-1-122-1-1-1-1-1-1-10-220-220000-2-222-2-200001-120-20011-1-11-100011-1-100-2000011110000
χ362222-122-1222-1222-12-1-12-1-1-1-1-1-122-1-12-122-1-1-1-122-1-1-1-1-1-1-10-2-20-2-20000-2-2-2-222000011-20-20011111100011110020000-1-1-1-10000
χ372222-122-1222-1222-1-2-1-1211-1-1-1-122-1-12-1-2-21111-2-2-1-1-111110220-2-20000-2-2-2-2-2-20000-1-120200-1-1-1-11100011110020000-1-1110000
χ382222-122-1222-1222-1-2-1-1211-1-1-1-122-1-12-1-2-21111-2-2-1-1-1111102-20-220000-2-222220000-11-20200-1-1111-100011-1-100-2000011-1-10000
χ392222-122-1222-1222-1-2-1-1211-1-1-1-122-1-12-1-2-21111-2-2-1-1-111110-2202-2000022-2-22200001-120-20011-1-1-11000-1-11100-2000011-1-10000
χ402222-122-1222-1222-1-2-1-1211-1-1-1-122-1-12-1-2-21111-2-2-1-1-111110-2-202200002222-2-2000011-20-2001111-1-1000-1-1-1-10020000-1-1110000
χ412-22-222222-2-2-22-2-2-20222002-22-22-2-2-2-22000000002-2-20000000000000000002i−2i2-22i−2i000000000000000000000002-22i−2i002i−2i0000
χ422-22-222222-2-2-22-2-2-20222002-22-22-2-2-2-22000000002-2-20000000000000000002i−2i-22−2i2i00000000000000000000000-22−2i2i002i−2i0000
χ432-22-222222-2-2-22-2-2-20222002-22-22-2-2-2-22000000002-2-2000000000000000000−2i2i2-2−2i2i000000000000000000000002-2−2i2i00−2i2i0000
χ442-22-222222-2-2-22-2-2-20222002-22-22-2-2-2-22000000002-2-2000000000000000000−2i2i-222i−2i00000000000000000000000-222i−2i00−2i2i0000
χ4544444-2-24-2-2-24-2-2-244-2-2144-2-2-2-211-2-211-2-2-2-2-2-2111111111400400-2-2-2-20000000000000-2011000000-2110000000000000000000
χ4644444-2-24-2-2-24-2-2-244-2-2144-2-2-2-211-2-211-2-2-2-2-2-2111111111-400-4002222000000000000020-1-10000002-1-10000000000000000000
χ4744444-2-24-2-2-24-2-2-24-4-2-21-4-4-2-2-2-211-2-211222222-1-1111-1-1-1-1400-400-2-2220000000000000-20110000002-1-10000000000000000000
χ4844444-2-24-2-2-24-2-2-24-4-2-21-4-4-2-2-2-211-2-211222222-1-1111-1-1-1-1-40040022-2-2000000000000020-1-1000000-2110000000000000000000
χ494444-24-2-24-2-2-2-244-24-21-2-2-2-2-211-2-2-21-214-2-2-211-2-211111110400400000-2-200000000-2000-2001100-200001100000000000000000
χ504444-24-2-24-2-2-2-244-24-21-2-2-2-2-211-2-2-21-214-2-2-211-2-211111110-400-40000022000000002000200-1-10020000-1-100000000000000000
χ514444-24-2-24-2-2-2-244-2-4-21-222-2-211-2-2-21-21-4222-1-122111-1-1-1-10400-4000002200000000-2000-200110020000-1-100000000000000000
χ524444-24-2-24-2-2-2-244-2-4-21-222-2-211-2-2-21-21-4222-1-122111-1-1-1-10-400400000-2-2000000002000200-1-100-200001100000000000000000
χ534444-2-24-2-244-24-2-2-241-2-2-2-211-2-2-2-21-2-21-2411-2-2-2-21111111004004000000-2-20000000-2-2000000110-20000011000000000000000
χ544444-2-24-2-244-24-2-2-241-2-2-2-211-2-2-2-21-2-21-2411-2-2-2-2111111100-400-400000022000000022000000-1-10200000-1-1000000000000000
χ554444-2-24-2-244-24-2-2-2-41-2-22211-2-2-2-21-2-212-4-1-12222111-1-1-1-100400-4000000220000000-2-2000000110200000-1-1000000000000000
χ564444-2-24-2-244-24-2-2-2-41-2-22211-2-2-2-21-2-212-4-1-12222111-1-1-1-100-4004000000-2-2000000022000000-1-10-20000011000000000000000
χ5744-4-4444-4-44-4-4-44-44044400-44-44-4-4-4-44400000000-44-400000000000000000000000000000000000000000000000000000000000
χ5844-4-444-2-4-4-22-424-4404-2-200-442-222-42-2-2000000002-22000000000000−2i32i3000000000000000000000000−2i32i30000000000000000000
χ5944-4-444-2-4-4-22-424-4404-2-200-442-222-42-2-2000000002-220000000000002i3−2i30000000000000000000000002i3−2i30000000000000000000
χ6044-4-44-24-424-4-4-4-2240-24-2002-2-44222-4-2-2000000002-220000000000−2i32i300000000000000000−2i32i30000000000000000000000000000
χ6144-4-44-24-424-4-4-4-2240-24-2002-2-44222-4-2-2000000002-2200000000002i3−2i3000000000000000002i3−2i30000000000000000000000000000
χ6244-4-44-2-2-42-22-42-2240-2-21002-22-2-1-122110000003-3-11-133-3-3000000−2i32i3−2i32i3000000000000000i3−i30000000i3−i30000000000000000000
χ6344-4-44-2-2-42-22-42-2240-2-21002-22-2-1-122110000003-3-11-133-3-30000002i3−2i32i3−2i3000000000000000−i3i30000000−i3i30000000000000000000
χ6444-4-44-2-2-42-22-42-2240-2-21002-22-2-1-12211000000-33-11-1-3-333000000−2i32i32i3−2i3000000000000000i3−i30000000−i3i30000000000000000000
χ6544-4-44-2-2-42-22-42-2240-2-21002-22-2-1-12211000000-33-11-1-3-3330000002i3−2i3−2i32i3000000000000000−i3i30000000i3−i30000000000000000000
χ6644-4-4-2442-44-42-44-4-20-2-24002-22-2-4-4224-2000000002-22000000000000000000000000000000000000000000000000000−2i32i3000000
χ6744-4-4-2442-44-42-44-4-20-2-24002-22-2-4-4224-2000000002-220000000000000000000000000000000000000000000000000002i3−2i3000000
χ684-44-444-24422-4-2-4-4-404-2-2004-4-22-22-422-200000000-222000000000000000000004-40000000000000000000000000-220000000000
χ694-44-444-24422-4-2-4-4-404-2-2004-4-22-22-422-200000000-22200000000000000000000-4400000000000000000000000002-20000000000
χ704-44-44-244-2-4-4-4422-40-24-200-224-4-222-42-200000000-22200000000000000000000004i−4i0000000000000000000000000−2i2i00000000
χ714-44-44-244-2-4-4-4422-40-24-200-224-4-222-42-200000000-2220000000000000000000000−4i4i00000000000000000000000002i−2i00000000
χ724-44-4-244-24-4-424-4-420-2-2400-22-224-422-4-200000000-2220000000000000000004i−4i000000000000000000000000000000000−2i2i0000
χ734-44-4-244-24-4-424-4-420-2-2400-22-224-422-4-200000000-222000000000000000000−4i4i0000000000000000000000000000000002i−2i0000
χ744-4-44444-4-4-444-4-44-4044400-4-4-4-4-4444-4400000000-4-4400000000000000000000000000000000000000000000000000000000000
χ754-4-4444-2-4-42-242-44-404-2-200-4-4222-24-22-20000000022-200000000000000−2i32i3000000000000000000000000−2i32i300000000000000000
χ764-4-4444-2-4-42-242-44-404-2-200-4-4222-24-22-20000000022-2000000000000002i3−2i30000000000000000000000002i3−2i300000000000000000
χ774-4-444-24-42-444-42-2-40-24-20022-4-42-2-242-20000000022-20000000000000000−2i32i3000000000000000000000000−2i32i3000000000000000
χ784-4-444-24-42-444-42-2-40-24-20022-4-42-2-242-20000000022-200000000000000002i3−2i30000000000000000000000002i3−2i3000000000000000
χ794-4-44-2442-4-44-2-4-4420-2-24−2i32i32222-44-2-2-4-200−2i32i3−2i32i30022-2−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000
χ804-4-44-2442-4-44-2-4-4420-2-242i3−2i32222-44-2-2-4-2002i3−2i32i3−2i30022-22i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000
χ814-4-44-24-22-42-2-22-4420-21-2−2i32i322-1-12-2-212100−2i32i3i3−i300-1-11i3−i3i3−i30000000000−2i32i30000000000000003-30000000i3−i300000000000000000
χ824-4-44-24-22-42-2-22-4420-21-2−2i32i322-1-12-2-212100−2i32i3i3−i300-1-11i3−i3i3−i300000000002i3−2i3000000000000000-330000000−i3i300000000000000000
χ834-4-44-24-22-42-2-22-4420-21-22i3−2i322-1-12-2-2121002i3−2i3−i3i300-1-11−i3i3−i3i30000000000−2i32i3000000000000000-330000000i3−i300000000000000000
χ844-4-44-24-22-42-2-22-4420-21-22i3−2i322-1-12-2-2121002i3−2i3−i3i300-1-11−i3i3−i3i300000000002i3−2i30000000000000003-30000000−i3i300000000000000000
χ854-4-44-2-2422-44-2-42-2201-2-2−2i32i3-1-1222-21-22100i3−i3−2i32i300-1-11i3−i3i3−i3000000000000−2i32i30000000000000003-30000000i3−i3000000000000000
χ864-4-44-2-2422-44-2-42-2201-2-2−2i32i3-1-1222-21-22100i3−i3−2i32i300-1-11i3−i3i3−i30000000000002i3−2i3000000000000000-330000000−i3i3000000000000000
χ874-4-44-2-2422-44-2-42-2201-2-22i3−2i3-1-1222-21-22100−i3i32i3−2i300-1-11−i3i3−i3i3000000000000−2i32i3000000000000000-330000000i3−i3000000000000000
χ884-4-44-2-2422-44-2-42-2201-2-22i3−2i3-1-1222-21-22100−i3i32i3−2i300-1-11−i3i3−i3i30000000000002i3−2i30000000000000003-30000000−i3i3000000000000000
χ898888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4222222222-1-4-4222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000
χ908888-4-4-4-4-4-4-4-4-4-4-4-4-822244222222222-144-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000
χ9188-8-8-48-44-8-44448-8-40-42-4004-4-22444-2-4200000000-22-200000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-48448-84-8-44-402-4-400-224-444-24-4200000000-22-200000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4-444-4444-44-4022200-22-22-2-2-2-22-10000006-61-11-3-3330000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-444-4444-44-4022200-22-22-2-2-2-22-1000000-661-1133-3-30000000000000000000000000000000000000000000000000000000
χ958-88-88-4-48-444-8-444-80-4-4200-44-442-244-22000000002-2-200000000000000000000000000000000000000000000000000000000000
χ968-88-8-48-4-48444-4-8-840-42-400-442-2-444-242000000002-2-200000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-48-4-4-8-84844402-4-4002-2-44-44-2442000000002-2-200000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-4-4-4444-44440222002-22-22-2-2-2-2-100000000-111−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-4-4-4444-44440222002-22-22-2-2-2-2-100000000-1113i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000
χ1008-8-888-4-4-844-4844-4-80-4-42004444-22-4-4-2200000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-4444-4-444-440222−4i34i3-2-2-2-2-2222-2-1002i3−2i32i3−2i30011-1−i3i3−i3i30000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-4444-4-444-4402224i3−4i3-2-2-2-2-2222-2-100−2i32i3−2i32i30011-1i3−i3i3−i30000000000000000000000000000000000000000000000000000000

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