Finite Group Databasebeta

← Group #13168114

Character table — Group #13168114

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222244444444444444488888888888888881212121212121212121212121212181818181818242424242424242424242424242424242424242436363636363636363636367272108108
order122233366666666633346666666661212366612121212121212121212121222444466661212121222444466666612121212121212121212121212122446612121212121261224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-111-11111-1-11111-1-1-1-111111111-1-11-11111-1-1-1-11-1-111-1-1-1-1-1-11-1-1-1
χ3111111111111111111111111111111111111111111111111-111-1111-1-111-1-1-1-111-1-11-111-1-11-1111111-1-11111-1-11-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1111-111-1-11-1-1-11-111-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1111
χ511111111111111111111111111111111111111111111111-111-111-1-1111111-1-1-1-111-11-1-111-1111-11-1-1111111-11-1-1-1-1-1-1-111-11-1-1
χ611111111111111111111111111111111111111111111111-11-1-11-1-1-111-1-111-1-111-1-1-11-1-111-11-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111111-1-111-1-1-1-1-1-11-111
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
χ91111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-111-1
χ101111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1111111111111-1-1-11-11-1-1-1-111-1-1-1-1-111-1-11111-1-1-11
χ111111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-111-1-11111-1-1-1-1111-111-1-1-111-1-1-1-1-111-1-1111-11-1-111-1-1111-1-11
χ121111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-111-1-11-111-1-1-11-11-11-1-11111-1-111-1-1-1-1-111-1-1111-1
χ131111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-11-1-1111-11-11-111-1-1-1-11111-1-1-1-1-111-1-111-11
χ141111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-1-1-1-1-1-1-1-111-11-1-1111-1-111111-1-111-1-11-11-1-111-1-1111-11-1
χ151111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111111111-1-1-1-1-1-1111-11-11111-1-111-1-1-111-1-11111-1-11-1
χ161111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1111111111-1-1-1111111-1-1-1-1-11-11
χ17222222-1-1-1-12222222-1-122-1-1-1-12-1-1222-1-1-1-1-12-1-1-1-122-1-1-1-1220220-1-1-1-1002222000022-1-1-1-1-1-10020-1-1-1-10000200-1-1000000-1000
χ18222222-1-1-1-12222222-1-122-1-1-1-12-1-1222-1-1-1-1-12-1-1-1-122-1-1-1-12-202-20-1-11100-2-2-2-200002-2-1-111-110020-1-1110000-200110000001000
χ19222222-1-1-1-12222222-1-122-1-1-1-12-1-1222-1-1-1-1-12-1-1-1-122-1-1-1-1-220-22011-1-10022-2-20000-2211-1-11-100-2011-1-10000-200110000001000
χ20222222-1-1-1-12222222-1-122-1-1-1-12-1-1222-1-1-1-1-12-1-1-1-122-1-1-1-1-2-20-2-20111100-2-2220000-2-211111100-2011110000200-1-1000000-1000
χ21222222-1-1-1-12222222-1-1-22-1-1-1-12-1-12-2-2-1-1-1-11-21111-2-21111220-2-20-1-1-1-100-2-222000022-1-1-1-11100-2011110000-200-1-10000001000
χ22222222-1-1-1-12222222-1-1-22-1-1-1-12-1-12-2-2-1-1-1-11-21111-2-211112-20-220-1-1110022-2-200002-2-1-1111-100-2011-1-1000020011000000-1000
χ23222222-1-1-1-12222222-1-1-22-1-1-1-12-1-12-2-2-1-1-1-11-21111-2-21111-2202-2011-1-100-2-2-2-20000-2211-1-1-110020-1-111000020011000000-1000
χ24222222-1-1-1-12222222-1-1-22-1-1-1-12-1-12-2-2-1-1-1-11-21111-2-21111-2-2022011110022220000-2-21111-1-10020-1-1-1-10000-200-1-10000001000
χ2522222-122222-12-1-12-12-12-12-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-120220222002200002200-10-1-10020-12-1-1-1-100-1-1-1-100200-1-1-1-1000000
χ2622222-122222-12-1-12-12-12-12-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-120-220-22200-2-20000-2-200-10-1-100201-2-11-1-100111100-2001111000000
χ2722222-122222-12-1-12-12-12-12-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-202-202-2-200220000-2-200101100-20-121-11100-1-1-1-100-2001111000000
χ2822222-122222-12-1-12-12-12-12-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-20-2-20-2-2-200-2-200002200101100-201-2111100111100200-1-1-1-1000000
χ2922222-122222-12-1-12-12-1-2-12-12-1-12-1-111-1-1-1-1-2-2-2-211111111202-20-22200220000-2-200-10-1-100-20-1-211110011-1-100200-1-111000000
χ3022222-122222-12-1-12-12-1-2-12-12-1-12-1-111-1-1-1-1-2-2-2-21111111120-2-2022200-2-200002200-10-1-100-20121-11100-1-11100-20011-1-1000000
χ3122222-122222-12-1-12-12-1-2-12-12-1-12-1-111-1-1-1-1-2-2-2-211111111-20220-2-2-200220000220010110020-1-2-11-1-10011-1-100-20011-1-1000000
χ3222222-122222-12-1-12-12-1-2-12-12-1-12-1-111-1-1-1-1-2-2-2-211111111-20-2202-2-200-2-20000-2-2001011002012-1-1-1-100-1-11100200-1-111000000
χ332222-122222-12-122-1-1-122-1-12-12-1-12-122-1-1-1-12-1-1-122-1-1-1-1-1-10220220022-1-1-1-10000220-100-1-1022-10200-1-1-1-1-1-1020000000-1-10-100
χ342222-122222-12-122-1-1-122-1-12-12-1-12-122-1-1-1-12-1-1-122-1-1-1-1-1-102-202-2002211-1-10000-2-20-100-1-102-210-200-1-111110-20000000110100
χ352222-122222-12-122-1-1-122-1-12-12-1-12-122-1-1-1-12-1-1-122-1-1-1-1-1-10-220-2200-2-2-1-1110000-2-20100110-22-1020011-1-1-1-10-20000000110100
χ362222-122222-12-122-1-1-122-1-12-12-1-12-122-1-1-1-12-1-1-122-1-1-1-1-1-10-2-20-2-200-2-211110000220100110-2-210-200111111020000000-1-10-100
χ372222-122222-12-122-1-1-12-2-1-12-12-1-12-1-2-2-1-1-1-1-2111-2-21111110220-2-20022-1-1110000-2-20-100-1-10-2210-2001111-1-1020000000110-100
χ382222-122222-12-122-1-1-12-2-1-12-12-1-12-1-2-2-1-1-1-1-2111-2-211111102-20-22002211110000220-100-1-10-2-2-1020011-1-1110-20000000-1-10100
χ392222-122222-12-122-1-1-12-2-1-12-12-1-12-1-2-2-1-1-1-1-2111-2-21111110-2202-200-2-2-1-1-1-100002201001102210-200-1-111-1-10-20000000-1-10100
χ402222-122222-12-122-1-1-12-2-1-12-12-1-12-1-2-2-1-1-1-1-2111-2-21111110-2-202200-2-211-1-10000-2-201001102-2-10200-1-1-1-111020000000110-100
χ4122-2-22222-2-222-2-2-2-22220-2-2-222-2-2-22002-2-22000000000000000000000000002-22i−2i2i−2i000000000000000000000002-2002i−2i2i−2i0000
χ4222-2-22222-2-222-2-2-2-22220-2-2-222-2-2-22002-2-22000000000000000000000000002-2−2i2i−2i2i000000000000000000000002-200−2i2i−2i2i0000
χ4322-2-22222-2-222-2-2-2-22220-2-2-222-2-2-22002-2-2200000000000000000000000000-222i−2i−2i2i00000000000000000000000-22002i−2i−2i2i0000
χ4422-2-22222-2-222-2-2-2-22220-2-2-222-2-2-22002-2-2200000000000000000000000000-22−2i2i2i−2i00000000000000000000000-2200−2i2i2i−2i0000
χ4544444-2-2-2-2-24-24-2-24-2-214-2-21-21-2-21-2-2-21111-24-2-211-2-21111400400-2-2000000000000-201100-2000-2011000000000000000000000
χ4644444-2-2-2-2-24-24-2-24-2-214-2-21-21-2-21-2-2-21111-24-2-211-2-21111-400-4002200000000000020-1-100200020-1-1000000000000000000000
χ4744444-2-2-2-2-24-24-2-24-2-21-4-2-21-21-2-21-22211112-422-1-122-1-1-1-1400-400-2-2000000000000-201100200020-1-1000000000000000000000
χ4844444-2-2-2-2-24-24-2-24-2-21-4-2-21-21-2-21-22211112-422-1-122-1-1-1-1-4004002200000000000020-1-100-2000-2011000000000000000000000
χ494444-24-2-2-2-2-24-244-2-21-24-21-21-2-21-2-2441111-2-211-2-2-2-2111104004000-2-200-2-20000000-200110-2000000110000000000000000000
χ504444-24-2-2-2-2-24-244-2-21-24-21-21-2-21-2-2441111-2-211-2-2-2-211110-400-40002200220000000200-1-102000000-1-10000000000000000000
χ514444-24-2-2-2-2-24-244-2-21-2-4-21-21-2-21-2-2-4-4111122-1-12222-1-1-1-10400-4000-2-200220000000-2001102000000-1-10000000000000000000
χ524444-24-2-2-2-2-24-244-2-21-2-4-21-21-2-21-2-2-4-4111122-1-12222-1-1-1-10-40040002200-2-20000000200-1-10-2000000110000000000000000000
χ534444-2-24444-2-2-2-2-2-21-2-241-2-2-2-21-2-21-2-211114-2-2-2-2-21111110040040000-2-20000000000000000-2-20-200001111000000000000000
χ544444-2-24444-2-2-2-2-2-21-2-241-2-2-2-21-2-21-2-211114-2-2-2-2-211111100-400-4000022000000000000000022020000-1-1-1-1000000000000000
χ554444-2-24444-2-2-2-2-2-21-2-2-41-2-2-2-21-2-21221111-422222-1-1-1-1-1-100400-40000-2-20000000000000000-22020000-1-111000000000000000
χ564444-2-24444-2-2-2-2-2-21-2-2-41-2-2-2-21-2-21221111-422222-1-1-1-1-1-100-400400002200000000000000002-20-2000011-1-1000000000000000
χ5744-4-444-2-22244-4-4-4-44-2-20-422-2-2-422400-222-2000000000000000000000000004-4000000000000000000000000000-220000000000
χ5844-4-444-2-22244-4-4-4-44-2-20-422-2-2-422400-222-200000000000000000000000000-440000000000000000000000000002-20000000000
χ5944-4-44-244-4-44-2-422-4-24-202-424-22-42-200-222-200000000000000000000000000004i−4i00000000000000000000000000000−2i2i000000
χ6044-4-44-244-4-44-2-422-4-24-202-424-22-42-200-222-20000000000000000000000000000−4i4i000000000000000000000000000002i−2i000000
χ6144-4-4-2444-4-4-242-4-42-2-24022-4-2422-4-200-222-20000000000000000000000000000004i−4i00000000000000000000000000000−2i2i0000
χ6244-4-4-2444-4-4-242-4-42-2-24022-4-2422-4-200-222-2000000000000000000000000000000−4i4i000000000000000000000000000002i−2i0000
χ634-44-4444-44-4-4-4-44-44444044-4-4-4-4-44-40044-4-40000000000000000000000000000000000000000000000000000000000000000000
χ644-44-444-22-22-4-4-44-444-2-204-2222-42-2-400-2-22200000000000000000000−2i32i300000000000000−2i32i300000000000000000000000000000
χ654-44-444-22-22-4-4-44-444-2-204-2222-42-2-400-2-222000000000000000000002i3−2i3000000000000002i3−2i300000000000000000000000000000
χ664-44-44-24-44-4-42-4-224-24-20-242-422-4-2200-2-22200000000000000000000000000000000000000000000000000000000023−2300000000
χ674-44-44-24-44-4-42-4-224-24-20-242-422-4-2200-2-222000000000000000000000000000000000000000000000000000000000−232300000000
χ684-44-4-244-44-42-424-4-2-2-240-2-2-42-4224200-2-22200000000000000000000000023−230000000000000000000023−230000000000000000000
χ694-44-4-244-44-42-424-4-2-2-240-2-2-42-4224200-2-222000000000000000000000000−232300000000000000000000−23230000000000000000000
χ704-44-4-24-22-222-424-4-2-21-20-212-122-1-220011-1-1003i−3i00003i3i−3i−3i00000000−2i32i30023−230000000000i3−i300000000−330000000000000000000
χ714-44-4-24-22-222-424-4-2-21-20-212-122-1-220011-1-1003i−3i00003i3i−3i−3i000000002i3−2i300−23230000000000−i3i3000000003−30000000000000000000
χ724-44-4-24-22-222-424-4-2-21-20-212-122-1-220011-1-100−3i3i0000−3i−3i3i3i00000000−2i32i300−23230000000000i3−i3000000003−30000000000000000000
χ734-44-4-24-22-222-424-4-2-21-20-212-122-1-220011-1-100−3i3i0000−3i−3i3i3i000000002i3−2i30023−230000000000−i3i300000000−330000000000000000000
χ744-4-44444-4-44-4-44-44-44440-4-44-4-444-4-4004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ754-4-4444-222-2-4-44-44-44-2-20-42-2224-22-400-22-22000000000000000000−2i32i300000000000000−2i32i30000000000000000000000000000000
χ764-4-4444-222-2-4-44-44-44-2-20-42-2224-22-400-22-220000000000000000002i3−2i3000000000000002i3−2i30000000000000000000000000000000
χ774-4-444-24-4-44-4242-2-4-24-202-4-2-42-242223−23-22-22000023−2323−2323−2323−230000000000000000000000000000000000000000000000000000000
χ784-4-444-24-4-44-4242-2-4-24-202-4-2-42-2422−2323-22-220000−2323−2323−2323−23230000000000000000000000000000000000000000000000000000000
χ794-4-444-2-222-2-4242-2-4-2-2102212-1-2-2-1223−231-11-10000−3323−23−33−33000000−2i32i300000000000000i3−i3000000003i−3i000000000000000000000
χ804-4-444-2-222-2-4242-2-4-2-2102212-1-2-2-1223−231-11-10000−3323−23−33−330000002i3−2i300000000000000−i3i300000000−3i3i000000000000000000000
χ814-4-444-2-222-2-4242-2-4-2-2102212-1-2-2-12−23231-11-100003−3−23233−33−3000000−2i32i300000000000000i3−i300000000−3i3i000000000000000000000
χ824-4-444-2-222-2-4242-2-4-2-2102212-1-2-2-12−23231-11-100003−3−23233−33−30000002i3−2i300000000000000−i3i3000000003i−3i000000000000000000000
χ834-4-44-244-4-442-4-2-442-2-2402242-4-2-2-4200-22-22000000000000000000000023−230000000000000000000000000023−23000000000000000
χ844-4-44-244-4-442-4-2-442-2-2402242-4-2-2-4200-22-220000000000000000000000−232300000000000000000000000000−2323000000000000000
χ854-4-44-2-24-4-4422-22-221-2-20-12-2221-22-123−231-11-1000023−23−33−33−33000000000023−230000000000000000000000003-3−33000000000000000
χ864-4-44-2-24-4-4422-22-221-2-20-12-2221-22-123−231-11-1000023−23−33−33−330000000000−2323000000000000000000000000-333−3000000000000000
χ874-4-44-2-24-4-4422-22-221-2-20-12-2221-22-1−23231-11-10000−23233−33−33−3000000000023−23000000000000000000000000-33−33000000000000000
χ884-4-44-2-24-4-4422-22-221-2-20-12-2221-22-1−23231-11-10000−23233−33−33−30000000000−23230000000000000000000000003-33−3000000000000000
χ898888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000
χ908888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000
χ9188-8-88-4-4-4448-4-844-8-4-42044-2-4244-2-4002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-48-4-444-484-8-84-42-404-242-44-24-4002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-488-8-8-4-444442-4-40-244-4-4-2442002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-4-444-4-444442220-2-2-222-2-2-2200-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4-4-444-4-444442220-2-2-222-2-2-2200-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000
χ968-88-88-4-44-44-84-8-448-4-420-4-4-24-244240022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-48-88-8444-44-42-4-402-4444-24-4-20022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-44-44444-44-4222022-2-2-2-2-22-200-1-111006i−6i0000−3i−3i3i3i0000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-44-44444-44-4222022-2-2-2-2-22-200-1-11100−6i6i00003i3i−3i−3i0000000000000000000000000000000000000000000000000000000
χ1008-8-88-48-444-44-8-4-884-42-404-2-4-24-4244002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-444-444-44-442220-2-22-2-222-2-243−43-11-110000−2323−23233−33−30000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-444-444-44-442220-2-22-2-222-2-2−4343-11-11000023−2323−23−33−330000000000000000000000000000000000000000000000000000000

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