Finite Group Databasebeta

← Group #13172879

Character table — Group #13172879

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222244444444444444466888888888888888812121212121212121212121212181824242424242424242424242424242424242424243636363636363636363636363654547272108
order122233366666666623336666666666644366666666666666622244666612121212446666666666121212121212121212124444412121212121212122212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-111-1-11111-1-1111-11111-1-11-11-11111-1-11-11-1-111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111111111111-11-11-1-1111111-1-111-1111-1-111-11-1111-1-111-11-11-1-1-111-1-1-1-1-1-1-11-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-11111111111111111-111111111-1-1-1-111-1-111-1-111111111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111-1-11111111111111111-11-11-111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-11-11-1-1-111-1-1-11-11-1-1-111-1-1-1-111-111
χ71111111111111111111111111111111-1-11111111111111111-1-11-11-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111-11-11-1-1-1-1111-11-1-111-1-1-1-1-1-1111-11
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1
χ91111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-11111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1111111-1-111-1-1-1
χ101111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-1111-1-11111-1-1-1-11-1-1-111-1-1-11-1111-1-111-111-1111-1-1-1-111-1-1-111
χ111111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1111111-1-1-1-1-11-1-1-1-1111-11-11111-1-11-1-111-1-111-1-111-1-11-11
χ121111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-11111-1
χ131111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1111
χ141111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1111-11111-1-1-11-11-1-1-1-1111-1-111-1-111-1-111111-1-1
χ151111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-1-111-1-1-1-1-1-111-1111-1-1111-11-1-1-111-1-1-111-1111-1-1-1-11111-11-1
χ161111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-111-1111111-1-1-1-1-1-11
χ17222222-122-1222-1-1222-1-12222-1-1-1-12-1-122-12-122-1-1-1-1-1-1-1-1-1-1-12020200-1-122-1-1002-102-1-100-1-1020-1-1-100-1-10202000-1-10000000-10
χ18222222-122-1222-1-1222-1-12222-1-1-1-12-1-122-12-122-1-1-1-1-1-1-1-1-1-1-120-20-2001122-1-1002-10-2-1-100110-201-1-100110-20-200011000000010
χ19222222-122-1222-1-1222-1-12222-1-1-1-12-1-1-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-2020200-1-1-2-21100-21021100-1-1020-11100-1-10-20-200011000000010
χ20222222-122-1222-1-1222-1-12222-1-1-1-12-1-1-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-20-20-20011-2-21100-210-21100110-2011100110202000-1-10000000-10
χ21222222-122-1222-1-12-22-1-1-2-222-1-1-1-12-1-122-1-21-2-21111-1-1-11111-2020-200-1-122-1-100-21021100-1-10-201-1-100110-202000-1-1000000010
χ22222222-122-1222-1-12-22-1-1-2-222-1-1-1-12-1-122-1-21-2-21111-1-1-11111-20-202001122-1-100-210-2110011020-1-1-100-1-1020-2000110000000-10
χ23222222-122-1222-1-12-22-1-1-2-222-1-1-1-12-1-1-2-2-1-21-2-21111-1-1-111112020-200-1-1-2-211002-102-1-100-1-10-201110011020-2000110000000-10
χ24222222-122-1222-1-12-22-1-1-2-222-1-1-1-12-1-1-2-2-1-21-2-21111-1-1-1111120-2020011-2-211002-10-2-1-10011020-11100-1-10-202000-1-1000000010
χ2522222-122-122-1-12222-12-122-1-122-1-1-12-122-1-12-1-122-1-1-1-1-1-1-1-1-122020-1-100-1-12200-1220-1-1-1-10020-10-1-1-1-10020200-1-100000000-100
χ2622222-122-122-1-12222-12-122-1-122-1-1-12-122-1-12-1-122-1-1-1-1-1-1-1-1-12-20-201100-1-12200-12-20-1-11100-2010-1-11100-20-2001100000000100
χ2722222-122-122-1-12222-12-122-1-122-1-1-12-1-2-2-1-12-1-122-1-1-1-1-1-1-1-1-1-22020-1-10011-2-2001-22011-1-10020-1011-1-100-20-2001100000000100
χ2822222-122-122-1-12222-12-122-1-122-1-1-12-1-2-2-1-12-1-122-1-1-1-1-1-1-1-1-1-2-20-20110011-2-2001-2-20111100-201011110020200-1-100000000-100
χ2922222-122-122-1-1222-2-12-1-2-2-1-122-1-1-12-122-11-211-2-211-1-1-11111-220-20-1-100-1-122001-22011-1-100-2010-1-11100-20200-1-100000000100
χ3022222-122-122-1-1222-2-12-1-2-2-1-122-1-1-12-122-11-211-2-211-1-1-11111-2-20201100-1-122001-2-2011110020-10-1-1-1-10020-2001100000000-100
χ3122222-122-122-1-1222-2-12-1-2-2-1-122-1-1-12-1-2-2-11-211-2-211-1-1-11111220-20-1-10011-2-200-1220-1-1-1-100-201011110020-2001100000000-100
χ3222222-122-122-1-1222-2-12-1-2-2-1-122-1-1-12-1-2-2-11-211-2-211-1-1-111112-2020110011-2-200-12-20-1-1110020-1011-1-100-20200-1-100000000100
χ332222-122-122-12222-12-1-12-1-1-1-1-1-122-1-1200-122-1-1-1-122-1-1-1-1-1-1-102222222200002200-1-100-1-1-1-1-1-12200-1-1-1-1000020000-1-1-1-100000
χ342222-122-122-12222-12-1-12-1-1-1-1-1-122-1-1200-122-1-1-1-122-1-1-1-1-1-1-102-22-222-2-20000-2-200-1100-1-111-112-200-1-1110000-20000111100000
χ352222-122-122-12222-12-1-12-1-1-1-1-1-122-1-1200-122-1-1-1-122-1-1-1-1-1-1-10-22-22-2-2220000-2-2001-10011-1-11-1-220011-1-10000-20000111100000
χ362222-122-122-12222-12-1-12-1-1-1-1-1-122-1-1200-122-1-1-1-122-1-1-1-1-1-1-10-2-2-2-2-2-2-2-2000022001100111111-2-2001111000020000-1-1-1-100000
χ372222-122-122-12222-1-2-1-1211-1-1-1-122-1-1200-1-2-21111-2-2-1-1-11111022-2-2222200002200-1-100-1-1-1-111-2-20011110000-20000-1-11100000
χ382222-122-122-12222-1-2-1-1211-1-1-1-122-1-1200-1-2-21111-2-2-1-1-1111102-2-2222-2-20000-2-200-1100-1-1111-1-220011-1-100002000011-1-100000
χ392222-122-122-12222-1-2-1-1211-1-1-1-122-1-1200-1-2-21111-2-2-1-1-111110-222-2-2-2220000-2-2001-10011-1-1-112-200-1-11100002000011-1-100000
χ402222-122-122-12222-1-2-1-1211-1-1-1-122-1-1200-1-2-21111-2-2-1-1-111110-2-222-2-2-2-20000220011001111-1-12200-1-1-1-10000-20000-1-11100000
χ412-2-22222-2-2-2-22-22-220222002-22-2-2-2-2-222-22000000002-2-200000000000002-22-22-2000000000000002-200000000000002-2002-2000
χ422-2-22222-2-2-2-22-22-220222002-22-2-2-2-2-222-22000000002-2-200000000000002-22-2-22000000000000002-20000000000000-2200-22000
χ432-2-22222-2-2-2-22-22-220222002-22-2-2-2-2-22-222000000002-2-20000000000000-22-222-200000000000000-2200000000000002-200-22000
χ442-2-22222-2-2-2-22-22-220222002-22-2-2-2-2-22-222000000002-2-20000000000000-22-22-2200000000000000-220000000000000-22002-2000
χ4544444-2-24-2-24-2-2-2-244-2-2144-2-2-2-211-2-21441-2-2-2-2-2-2111111111400000000-2-2-2-200-2-2001100000000110000000000000000000000
χ4644444-2-24-2-24-2-2-2-244-2-2144-2-2-2-211-2-21-4-41-2-2-2-2-2-2111111111-4000000002222002200-1-100000000-1-10000000000000000000000
χ4744444-2-24-2-24-2-2-2-24-4-2-21-4-4-2-2-2-211-2-21441222222-1-1111-1-1-1-1-400000000-2-2-2-2002200-1-100000000110000000000000000000000
χ4844444-2-24-2-24-2-2-2-24-4-2-21-4-4-2-2-2-211-2-21-4-41222222-1-1111-1-1-1-1400000000222200-2-2001100000000-1-10000000000000000000000
χ494444-24-2-24-2-244-2-2-24-21-2-2-2-2-211-2-2-21-20014-2-2-211-2-211111110040400-2-2000000000-20000110-20-2000011000000000000000000
χ504444-24-2-24-2-244-2-2-24-21-2-2-2-2-211-2-2-21-20014-2-2-211-2-2111111100-40-4002200000000020000-1-102020000-1-1000000000000000000
χ514444-24-2-24-2-244-2-2-2-4-21-222-2-211-2-2-21-2001-4222-1-122111-1-1-1-10040-400-2-2000000000-200001102020000-1-1000000000000000000
χ524444-24-2-24-2-244-2-2-2-4-21-222-2-211-2-2-21-2001-4222-1-122111-1-1-1-100-404002200000000020000-1-10-20-2000011000000000000000000
χ534444-2-24-2-24-2-2-244-241-2-2-2-211-2-2-2-21-2-2001-2411-2-2-2-2111111104040-2-20000000000-20001100-20-20001100000000000000000000
χ544444-2-24-2-24-2-2-244-241-2-2-2-211-2-2-2-21-2-2001-2411-2-2-2-211111110-40-402200000000002000-1-100202000-1-100000000000000000000
χ554444-2-24-2-24-2-2-244-2-41-2-22211-2-2-2-21-2-20012-4-1-12222111-1-1-1-1040-40-2-20000000000-20001100202000-1-100000000000000000000
χ564444-2-24-2-24-2-2-244-2-41-2-22211-2-2-2-21-2-20012-4-1-12222111-1-1-1-10-40402200000000002000-1-100-20-20001100000000000000000000
χ5744-4-4444444-4-4-4-4-4-4044400-44-444-4-4-4-400400000000-44-4000000000000000000000000000000000000000000000000000000000
χ5844-4-444-244-2-4-4-422-404-2-200-442-2-22-42200-2000000002-22000000000000000000000000000000000000000000000023−23000000000
χ5944-4-444-244-2-4-4-422-404-2-200-442-2-22-42200-2000000002-220000000000000000000000000000000000000000000000−2323000000000
χ6044-4-44-244-24-422-4-4-40-24-2002-2-44-222-4200-2000000002-220000000000000000000000000000000000000000000023−2300000000000
χ6144-4-44-244-24-422-4-4-40-24-2002-2-44-222-4200-2000000002-2200000000000000000000000000000000000000000000−232300000000000
χ6244-4-4-244-2442-4-4-4-420-2-24002-22-24-422-400-2000000002-220000000000000000000000000000000000000000000000000023−2300000
χ6344-4-4-244-2442-4-4-4-420-2-24002-22-24-422-400-2000000002-2200000000000000000000000000000000000000000000000000−232300000
χ644-44-4444-4-4-44-44-44-4044400-4-4-4-4-4444-400400000000-4-44000000000000000000000000000000000000000000000000000000000
χ654-44-444-2-4-424-442-2-404-2-200-4-4222-24-2200-20000000022-200000000000−2i32i300000000000000−2i32i30000000000000000000000000000
χ664-44-444-2-4-424-442-2-404-2-200-4-4222-24-2200-20000000022-2000000000002i3−2i3000000000000002i3−2i30000000000000000000000000000
χ674-44-44-24-42-442-2-44-40-24-20022-4-42-2-24200-20000000022-2000000000−2i32i300000000000000−2i32i3000000000000000000000000000000
χ684-44-44-24-42-442-2-44-40-24-20022-4-42-2-24200-20000000022-20000000002i3−2i3000000000000002i3−2i3000000000000000000000000000000
χ694-44-4-2442-4-4-2-44-4420-2-24−2i32i32222-44-2-2-400-200−2i32i3−2i32i30022-2−2i3−2i32i32i300000000000000000000000000000000000000000000000000000
χ704-44-4-2442-4-4-2-44-4420-2-242i3−2i32222-44-2-2-400-2002i3−2i32i3−2i30022-22i32i3−2i3−2i300000000000000000000000000000000000000000000000000000
χ714-44-4-24-22-42-2-442-220-21-2−2i32i322-1-12-2-21200100−2i32i3i3−i300-1-11i3i3−i3−i30000000−2i32i300000000000000i3−i3000000003-3000000000000000000
χ724-44-4-24-22-42-2-442-220-21-2−2i32i322-1-12-2-21200100−2i32i3i3−i300-1-11i3i3−i3−i300000002i3−2i300000000000000−i3i300000000-33000000000000000000
χ734-44-4-24-22-42-2-442-220-21-22i3−2i322-1-12-2-212001002i3−2i3−i3i300-1-11−i3−i3i3i30000000−2i32i300000000000000i3−i300000000-33000000000000000000
χ744-44-4-24-22-42-2-442-220-21-22i3−2i322-1-12-2-212001002i3−2i3−i3i300-1-11−i3−i3i3i300000002i3−2i300000000000000−i3i3000000003-3000000000000000000
χ754-44-4-2-2422-4-22-2-44201-2-2−2i32i3-1-1222-21-2200100i3−i3−2i32i300-1-11i3i3−i3−i300000−2i32i300000000000000i3−i3000000003-300000000000000000000
χ764-44-4-2-2422-4-22-2-44201-2-2−2i32i3-1-1222-21-2200100i3−i3−2i32i300-1-11i3i3−i3−i3000002i3−2i300000000000000−i3i300000000-3300000000000000000000
χ774-44-4-2-2422-4-22-2-44201-2-22i3−2i3-1-1222-21-2200100−i3i32i3−2i300-1-11−i3−i3i3i300000−2i32i300000000000000i3−i300000000-3300000000000000000000
χ784-44-4-2-2422-4-22-2-44201-2-22i3−2i3-1-1222-21-2200100−i3i32i3−2i300-1-11−i3−i3i3i3000002i3−2i300000000000000−i3i3000000003-300000000000000000000
χ794-4-4444-2-4-42-44-4-22404-2-2004-4-2222-42-24-4-200000000-22200000000000004-4-220000000000000000-220000000000000000000000
χ804-4-4444-2-4-42-44-4-22404-2-2004-4-2222-42-2-44-200000000-2220000000000000-442-200000000000000002-20000000000000000000000
χ814-4-444-24-42-4-4-224-440-24-200-224-4222-4-24-4-200000000-2220000000000000-224-40000000000000000-220000000000000000000000
χ824-4-444-24-42-4-4-224-440-24-200-224-4222-4-2-44-200000000-22200000000000002-2-4400000000000000002-20000000000000000000000
χ834-4-444-2-2-422-4-22-2240-2-2100-22-22-1-12214-410000003-31-1-13-33-3000000000-22-220000003-3000000001-10000000000000000000000
χ844-4-444-2-2-422-4-22-2240-2-2100-22-22-1-12214-41000000-331-1-1-33-33000000000-22-22000000-33000000001-10000000000000000000000
χ854-4-444-2-2-422-4-22-2240-2-2100-22-22-1-1221-4410000003-31-1-13-33-30000000002-22-2000000-3300000000-110000000000000000000000
χ864-4-444-2-2-422-4-22-2240-2-2100-22-22-1-1221-441000000-331-1-1-33-330000000002-22-20000003-300000000-110000000000000000000000
χ874-4-44-2442-4-424-44-4-20-2-2400-22-22-4-422400-200000000-222000000000000000004-400000000000000000000000000000-220000000
χ884-4-44-2442-4-424-44-4-20-2-2400-22-22-4-422400-200000000-22200000000000000000-44000000000000000000000000000002-20000000
χ898888-4-4-4-4-4-4-4-4-4-4-4-48222-4-422222222200-1-4-4222222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000
χ908888-4-4-4-4-4-4-4-4-4-4-4-4-82224422222222200-144-2-2-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000
χ9188-8-88-4-48-4-4-84444-80-4-42004-44-42-244-200200000000-22-2000000000000000000000000000000000000000000000000000000000
χ9288-8-8-48-4-48-44-8-84440-42-4004-4-22-444-2400200000000-22-2000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-48-4-48444-8-8402-4-400-224-4-44-24400200000000-22-2000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-4-4-4-4444444022200-22-222-2-2-2-200-1000000001-11−3i33i33i3−3i300000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4-4-4-4-4444444022200-22-222-2-2-2-200-1000000001-113i3−3i3−3i33i300000000000000000000000000000000000000000000000000000
χ968-88-88-4-4-84484-44-4-80-4-42004444-22-4-4-200200000000-2-22000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-4444-44-44-440222−4i34i3-2-2-2-2-2222-200-1002i3−2i32i3−2i30011-1−i3−i3i3i300000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-4444-44-44-4402224i3−4i3-2-2-2-2-2222-200-100−2i32i3−2i32i30011-1i3i3−i3−i300000000000000000000000000000000000000000000000000000
χ998-8-88-48-44-8448-8-44-40-42-400-442-2444-2-4002000000002-2-2000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4-4844-84-448-8-402-4-4002-2-4444-24-4002000000002-2-2000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-44444-44-44-40222002-22-2-2-2-2-2200-10000006-6-111-33-3300000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-44444-44-44-40222002-22-2-2-2-2-2200-1000000-66-1113-33-300000000000000000000000000000000000000000000000000000

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