Finite Group Databasebeta

← Group #13172126

Character table — Group #13172126

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222244444444444444488888888888888881212121212121212121212121212181818181818242424242424242424242424242424242424242436363636363636363636367272108108
order122233366666666623336666666666636666666666666662224446666121212124444446666666666121212121212121212124441212121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-111-111-1-111-1-111-1-1-1-1111-11111-1-1111-11111-1-11-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-111-111111-1-111-1-1-1-1111-1-1111-1-1111-11111-1-111-11-111-1-1-1-1-1-11-1-1-1
χ4111111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-11-1-1-111-1-1-1-11-11-111-1-1-1-1-1-11-1-111-1-1-1-1-1111
χ511111111111111111111111111111111111111111111111-111-111-1-1111111-1-111-1-1-1111-1-11111-11-11-1-11111-1-11-1-111-1-1-1-1-11-1-1
χ611111111111111111111111111111111111111111111111-11-1-11-1-1-1-1-111-1-1-1-1-1-111-111-1-1-111-1-1-11-1-1-1-111-1-1-11-111-1-1-1-1-1-11-111
χ711111111111111111111111111111111111111111111111-1-11-1-11-1-111-1-11111-1-1-1-1-1-1-11-1-1-1-111-1-1-11-1-1-1-1111-1-1-1-1-1-11111-1-111
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
χ91111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1
χ101111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111111111111-11111-1-1-1-1-11-1-1-1-111-1-1-1111111-1-1-1-1-11
χ111111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-11-11-1111111-1-1-1-111-1-11-1-1111-1-111-11-1-1-1-111-1-111-1-1-111-1-1111-1-11
χ121111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-11111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-11-11-1-111111-1111-1-1-1-111-111-1
χ131111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1111-1-111111-11-111-1-1-1-11-1111-1-1-1-111-11-11
χ141111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-11-1-1-1-1-1-111-1-111-1-1-111-1-1-111-1-11-11111-1-11111-1-1-111-1-1111-11-1
χ151111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1111111-1-1-11-1-1-1-111111-11111-1-1-1-1-1111111-1-1-1-11-1
χ161111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-111-1-111-11
χ17222222-122-1222-1-1222-1-12222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-102202200-1-1-1-12200220002-1200-1-1-1-1020-100-1-1-1-100200-1-100000-100
χ18222222-122-1222-1-1222-1-12222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-102-202-20011-1-1-2-200-2-20002-1-200-1-111020100-1-11100-2001100000100
χ19222222-122-1222-1-1222-1-12222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-10-220-2200-1-1112200-2-2000-2120011-1-10-20-10011-1-100-2001100000100
χ20222222-122-1222-1-1222-1-12222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-10-2-20-2-2001111-2-20022000-21-20011110-20100111100200-1-100000-100
χ21222222-122-1222-1-12-22-1-1-2-222-1-1-1-12-1-1-1-21-2-21111-1-1-111110220-2-200-1-111-2-200-2-20002-1200-1-1-1-10-201001111002001100000-100
χ22222222-122-1222-1-12-22-1-1-2-222-1-1-1-12-1-1-1-21-2-21111-1-1-1111102-20-220011112200220002-1-200-1-1110-20-10011-1-100-200-1-100000100
χ23222222-122-1222-1-12-22-1-1-2-222-1-1-1-12-1-1-1-21-2-21111-1-1-111110-2202-200-1-1-1-1-2-20022000-2120011-1-1020100-1-11100-200-1-100000100
χ24222222-122-1222-1-12-22-1-1-2-222-1-1-1-12-1-1-1-21-2-21111-1-1-111110-2-20220011-1-12200-2-2000-21-2001111020-100-1-1-1-1002001100000-100
χ2522222-122-122-1-12222-12-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-1202202-1-12200-1-1000022200-1-1-100-1-120-12-1-100-1-1020-1-1000000-1000
χ2622222-122-122-1-12222-12-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-120-220-2-1-1-2-200110000-2-22001-1-1001120-1-2-1-100110-20110000001000
χ2722222-122-122-1-12222-12-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-1-202-202112200-1-10000-2-2-200-11100-1-1-20121100-1-10-20110000001000
χ2822222-122-122-1-12222-12-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-1-20-2-20-211-2-20011000022-2001110011-201-2110011020-1-1000000-1000
χ2922222-122-122-1-1222-2-12-1-2-2-1-122-1-1-12-1-11-211-2-211-1-1-11111202-20-2-1-12200110000-2-2200-1-1-100-1-1-201-211001102011000000-1000
χ3022222-122-122-1-1222-2-12-1-2-2-1-122-1-1-12-1-11-211-2-211-1-1-1111120-2-202-1-1-2-200-1-10000222001-1-10011-20121100-1-10-20-1-10000001000
χ3122222-122-122-1-1222-2-12-1-2-2-1-122-1-1-12-1-11-211-2-211-1-1-11111-20220-211220011000022-200-11100-1-120-1-2-1-100110-20-1-10000001000
χ3222222-122-122-1-1222-2-12-1-2-2-1-122-1-1-12-1-11-211-2-211-1-1-11111-20-220211-2-200-1-10000-2-2-200111001120-12-1-100-1-102011000000-1000
χ332222-122-122-12222-12-1-12-1-1-1-1-1-122-1-12-122-1-1-1-122-1-1-1-1-1-1-122022022002200220000-1-120-1-1-1-100-1-120-1-1-1-1002000000-1-1-1-10000
χ342222-122-122-12222-12-1-12-1-1-1-1-1-122-1-12-122-1-1-1-122-1-1-1-1-1-1-12-202-202200-2-200-2-20000-11-20-1-11100-1120-1-11100-200000011110000
χ352222-122-122-12222-12-1-12-1-1-1-1-1-122-1-12-122-1-1-1-122-1-1-1-1-1-1-1-220-220-2-2002200-2-200001-12011-1-1001-1-2011-1-100-200000011110000
χ362222-122-122-12222-12-1-12-1-1-1-1-1-122-1-12-122-1-1-1-122-1-1-1-1-1-1-1-2-20-2-20-2-200-2-20022000011-2011110011-201111002000000-1-1-1-10000
χ372222-122-122-12222-1-2-1-1211-1-1-1-122-1-12-1-2-21111-2-2-1-1-11111220-2-202200-2-200220000-1-120-1-1-1-10011-20111100-2000000-1-1110000
χ382222-122-122-12222-1-2-1-1211-1-1-1-122-1-12-1-2-21111-2-2-1-1-111112-20-22022002200-2-20000-11-20-1-111001-1-2011-1-100200000011-1-10000
χ392222-122-122-12222-1-2-1-1211-1-1-1-122-1-12-1-2-21111-2-2-1-1-11111-2202-20-2-200-2-200-2-200001-12011-1-100-1120-1-11100200000011-1-10000
χ402222-122-122-12222-1-2-1-1211-1-1-1-122-1-12-1-2-21111-2-2-1-1-11111-2-20220-2-200220022000011-20111100-1-120-1-1-1-100-2000000-1-1110000
χ4122-2-2222-222-2-2-2-2-220222002-22-22-2-2-2-22000000002-2-20000000000000000002-22i−2i2i−2i000000000000000000000002i−2i2i−2i2-2000000
χ4222-2-2222-222-2-2-2-2-220222002-22-22-2-2-2-22000000002-2-20000000000000000002-2−2i2i−2i2i00000000000000000000000−2i2i−2i2i2-2000000
χ4322-2-2222-222-2-2-2-2-220222002-22-22-2-2-2-22000000002-2-2000000000000000000-222i−2i−2i2i00000000000000000000000−2i2i2i−2i-22000000
χ4422-2-2222-222-2-2-2-2-220222002-22-22-2-2-2-22000000002-2-2000000000000000000-22−2i2i2i−2i000000000000000000000002i−2i−2i2i-22000000
χ4544444-2-24-2-24-2-2-2-244-2-2144-2-2-2-211-2-211-2-2-2-2-2-211111111100400400-2-200-2-2000000000-2000011000-2000011000000000000000
χ4644444-2-24-2-24-2-2-2-244-2-2144-2-2-2-211-2-211-2-2-2-2-2-211111111100-400-40022002200000000020000-1-100020000-1-1000000000000000
χ4744444-2-24-2-24-2-2-2-24-4-2-21-4-4-2-2-2-211-2-211222222-1-1111-1-1-1-100400-400-2-20022000000000-200001100020000-1-1000000000000000
χ4844444-2-24-2-24-2-2-2-24-4-2-21-4-4-2-2-2-211-2-211222222-1-1111-1-1-1-100-4004002200-2-200000000020000-1-1000-2000011000000000000000
χ494444-24-2-24-2-244-2-2-24-21-2-2-2-2-211-2-2-21-214-2-2-211-2-211111110400400000-2-2000000000-2-200011000-200001100000000000000000
χ504444-24-2-24-2-244-2-2-24-21-2-2-2-2-211-2-2-21-214-2-2-211-2-211111110-400-4000002200000000022000-1-100020000-1-100000000000000000
χ514444-24-2-24-2-244-2-2-2-4-21-222-2-211-2-2-21-21-4222-1-122111-1-1-1-10400-40000022000000000-2-20001100020000-1-100000000000000000
χ524444-24-2-24-2-244-2-2-2-4-21-222-2-211-2-2-21-21-4222-1-122111-1-1-1-10-400400000-2-200000000022000-1-1000-200001100000000000000000
χ534444-2-24-2-24-2-2-244-241-2-2-2-211-2-2-2-21-2-21-2411-2-2-2-21111111400400-2-2000000000000-2000110000-20-20110000000000000000000
χ544444-2-24-2-24-2-2-244-241-2-2-2-211-2-2-2-21-2-21-2411-2-2-2-21111111-400-400220000000000002000-1-100002020-1-10000000000000000000
χ554444-2-24-2-24-2-2-244-2-41-2-22211-2-2-2-21-2-212-4-1-12222111-1-1-1-1400-400-2-2000000000000-20001100002020-1-10000000000000000000
χ564444-2-24-2-24-2-2-244-2-41-2-22211-2-2-2-21-2-212-4-1-12222111-1-1-1-1-400400220000000000002000-1-10000-20-20110000000000000000000
χ5744-4-444-2-44-2-4-4-422404-2-2004-4-22-22-422-200000000-222000000000000000000004i−4i000000000000000000000000000−2i2i00000000
χ5844-4-444-2-44-2-4-4-422404-2-2004-4-22-22-422-200000000-22200000000000000000000−4i4i0000000000000000000000000002i−2i00000000
χ5944-4-44-24-4-24-422-4-440-24-200-224-4-222-42-200000000-22200000000000000000000004i−4i00000000000000000000000−2i2i0000000000
χ6044-4-44-24-4-24-422-4-440-24-200-224-4-222-42-200000000-2220000000000000000000000−4i4i000000000000000000000002i−2i0000000000
χ6144-4-4-2442442-4-4-4-4-20-2-2400-22-224-422-4-200000000-2220000000000000000004-40000000000000000000000000000000-22000000
χ6244-4-4-2442442-4-4-4-4-20-2-2400-22-224-422-4-200000000-222000000000000000000-4400000000000000000000000000000002-2000000
χ634-44-4444-4-4-444-44-4-4044400-4-4-4-4-4444-4400000000-44-400000000000000000000000000000000000000000000000000000000000
χ644-44-444-2-4-4244-4-22-404-2-200-4-4222-24-22-2000000002-2200000000000000−2i32i3000000000000000000000000−2i32i300000000000000000
χ654-44-444-2-4-4244-4-22-404-2-200-4-4222-24-22-2000000002-22000000000000002i3−2i30000000000000000000000002i3−2i300000000000000000
χ664-44-44-24-42-44-224-4-40-24-20022-4-42-2-242-2000000002-220000000000−2i32i30000000000000000−2i32i300000000000000000000000000000
χ674-44-44-24-42-44-224-4-40-24-20022-4-42-2-242-2000000002-2200000000002i3−2i300000000000000002i3−2i300000000000000000000000000000
χ684-44-4-2442-4-4-24-44-420-2-24−2i32i32222-44-2-2-4-200−2i32i3−2i32i3002-22−2i3−2i32i32i30000000000000000000000000000000000000000000000000000000
χ694-44-4-2442-4-4-24-44-420-2-242i3−2i32222-44-2-2-4-2002i3−2i32i3−2i3002-222i32i3−2i3−2i30000000000000000000000000000000000000000000000000000000
χ704-44-4-24-22-42-24-4-2220-21-2−2i32i322-1-12-2-212100−2i32i3i3−i300-11-1i3i3−i3−i30000000000−2i32i3000000000000003-300000000i3−i300000000000000000
χ714-44-4-24-22-42-24-4-2220-21-2−2i32i322-1-12-2-212100−2i32i3i3−i300-11-1i3i3−i3−i300000000002i3−2i300000000000000-3300000000−i3i300000000000000000
χ724-44-4-24-22-42-24-4-2220-21-22i3−2i322-1-12-2-2121002i3−2i3−i3i300-11-1−i3−i3i3i30000000000−2i32i300000000000000-3300000000i3−i300000000000000000
χ734-44-4-24-22-42-24-4-2220-21-22i3−2i322-1-12-2-2121002i3−2i3−i3i300-11-1−i3−i3i3i300000000002i3−2i3000000000000003-300000000−i3i300000000000000000
χ744-44-4-2-2422-4-2-224-4201-2-2−2i32i3-1-1222-21-22100i3−i3−2i32i300-11-1i3i3−i3−i3000000−2i32i30000000000000000i3−i3000000003-30000000000000000000
χ754-44-4-2-2422-4-2-224-4201-2-2−2i32i3-1-1222-21-22100i3−i3−2i32i300-11-1i3i3−i3−i30000002i3−2i30000000000000000−i3i300000000-330000000000000000000
χ764-44-4-2-2422-4-2-224-4201-2-22i3−2i3-1-1222-21-22100−i3i32i3−2i300-11-1−i3−i3i3i3000000−2i32i30000000000000000i3−i300000000-330000000000000000000
χ774-44-4-2-2422-4-2-224-4201-2-22i3−2i3-1-1222-21-22100−i3i32i3−2i300-11-1−i3−i3i3i30000002i3−2i30000000000000000−i3i3000000003-30000000000000000000
χ784-4-444444-4-4-4-44-44-4044400-44-44-4-4-4-44400000000-4-4400000000000000000000000000000000000000000000000000000000000
χ794-4-4444-24-42-4-442-2-404-2-200-442-222-42-2-20000000022-2000000000000−2i32i3000000000000000000−2i32i30000000000000000000000000
χ804-4-4444-24-42-4-442-2-404-2-200-442-222-42-2-20000000022-20000000000002i3−2i30000000000000000002i3−2i30000000000000000000000000
χ814-4-444-2442-4-42-2-44-40-24-2002-2-44222-4-2-20000000022-20000000000000000−2i32i3000000000000000000000000−2i32i3000000000000000
χ824-4-444-2442-4-42-2-44-40-24-2002-2-44222-4-2-20000000022-200000000000000002i3−2i30000000000000000000000002i3−2i3000000000000000
χ834-4-444-2-2422-42-22-2-40-2-21002-22-2-1-122110000003-3-1-113-33-300000000−2i32i300−2i32i300000000000000i3−i300000000i3−i3000000000000000
χ844-4-444-2-2422-42-22-2-40-2-21002-22-2-1-122110000003-3-1-113-33-3000000002i3−2i3002i3−2i300000000000000−i3i300000000−i3i3000000000000000
χ854-4-444-2-2422-42-22-2-40-2-21002-22-2-1-12211000000-33-1-11-33-3300000000−2i32i3002i3−2i300000000000000i3−i300000000−i3i3000000000000000
χ864-4-444-2-2422-42-22-2-40-2-21002-22-2-1-12211000000-33-1-11-33-33000000002i3−2i300−2i32i300000000000000−i3i300000000i3−i3000000000000000
χ874-4-44-244-2-4-42-44-4420-2-24002-22-2-4-4224-20000000022-20000000000000000000000000000000000000000000000000000023−230000
χ884-4-44-244-2-4-42-44-4420-2-24002-22-2-4-4224-20000000022-200000000000000000000000000000000000000000000000000000−23230000
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
χ9188-8-88-4-4-8-4-4-8444480-4-4200-44-442-244-22000000002-2-200000000000000000000000000000000000000000000000000000000000
χ9288-8-8-48-448-44-8-844-40-42-400-442-2-444-242000000002-2-200000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-484-48444-8-8-402-4-4002-2-44-44-2442000000002-2-200000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-44-4-444444-40222002-22-22-2-2-2-2-100000000-111−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4-44-4-444444-40222002-22-22-2-2-2-2-100000000-1113i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000
χ968-88-88-4-4-8448-44-44-80-4-42004444-22-4-4-2200000000-22-200000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-4444-4-44-4440222−4i34i3-2-2-2-2-2222-2-1002i3−2i32i3−2i3001-11−i3−i3i3i30000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-4444-4-44-44402224i3−4i3-2-2-2-2-2222-2-100−2i32i3−2i32i3001-11i3i3−i3−i30000000000000000000000000000000000000000000000000000000
χ998-8-88-48-4-4-844-884-440-42-4004-4-22444-2-4200000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4-48-44-844-4-88402-4-400-224-444-24-4200000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-4-44444-44-44022200-22-22-2-2-2-22-10000006-611-1-33-330000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-4-44444-44-44022200-22-22-2-2-2-22-1000000-6611-13-33-30000000000000000000000000000000000000000000000000000000

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