Finite Group Databasebeta

← Group #11872937

Character table — Group #11872937

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121218181818242424242424242424242424242436363636363648484848
order1222334466666622344446661212121212121212121212126666666612121212121212121212121212128888444424448824242424242424242444446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ511111111111111111-1-1-1-11111-1-11-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111-11-1-1-111-1-111-1-1-1-1-1-1111-11-1
χ611111111111111111-1-1-1-11111-1-11-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11-1-11-1111-1-1-1-1111111-1-11-1-11
χ711111111111111111-1-1-1-11111-1-11-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-1-11111-1-11111-1-1-111-1
χ811111111111111111-1-1-1-11111-1-11-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-111-1-1-1-111-11-11
χ911111111111111-1-1111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ1011111111111111-1-1111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-11111-1-111
χ1111111111111111-1-1111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-11-1-1-1-11111-1-1111111-1-1
χ1211111111111111-1-1111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ1311111111111111-1-11-1-1111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-11-11-1-111-1-111-1-1-1-111-1-1-11-11
χ1411111111111111-1-11-1-1111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-111-1-1111-1-1-1-11111-1-111-111-1
χ1511111111111111-1-11-1-1111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-11-1-111-1-1-11111-1-111-1-1111-1-11
χ1611111111111111-1-11-1-1111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111111-11-111-1-111-1-111-1-111-1-11-11-1
χ17222222-2-22222220022-200222-2-2-2-2-2-2-2-2-2-2-2-200000000220000-2-2220000000022-2-200000000000000-2200000000
χ18222222-2-22222220022-200222-2-2-2-2-2-2-2-2-2-2-2-200000000220000-2-22200000000-2-222000000000000002-200000000
χ19222222-2-2222222002-2200222-222-2222222-2-200000000-2-20000-2-2-2-20000000022-2-2000000000000002-200000000
χ20222222-2-2222222002-2200222-222-2222222-2-200000000-2-20000-2-2-2-200000000-2-22200000000000000-2200000000
χ2122222-12222-1-1-1222-12222-1-1-12-1-1-122-1-1-1-12-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-122000000220020-1-1-1-10000000000-1-100
χ2222222-12222-1-1-1222-12222-1-1-12-1-1-122-1-1-1-12-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-2-2000000-2-200-20111100000000001100
χ2322222-12222-1-1-1222-1-2-2-2-2-1-1-1211-1-2-211112-122-1-1-1-1-1-1-2111-2-2-1-1111111220000002-200-20-1-1110000000000-1100
χ2422222-12222-1-1-1222-1-2-2-2-2-1-1-1211-1-2-211112-122-1-1-1-1-1-1-2111-2-2-1-1111111-2-2000000-22002011-1-100000000001-100
χ2522222-12222-1-1-12-2-2-122-2-2-1-1-12-1-1-122-1-1-1-12-1-2-21111112-111-2-2-1-1-1-1111122000000-2-20020-1-1-1-100000000001100
χ2622222-12222-1-1-12-2-2-122-2-2-1-1-12-1-1-122-1-1-1-12-1-2-21111112-111-2-2-1-1-1-11111-2-20000002200-2011110000000000-1-100
χ2722222-12222-1-1-12-2-2-1-2-222-1-1-1211-1-2-211112-1-2-2111111-21-1-122-1-111-1-1-1-122000000-2200-20-1-11100000000001-100
χ2822222-12222-1-1-12-2-2-1-2-222-1-1-1211-1-2-211112-1-2-2111111-21-1-122-1-111-1-1-1-1-2-20000002-2002011-1-10000000000-1100
χ292222-1222-1-1222-122-12222-1-1-1-1222-1-1-1-1-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1002200000022020000-1-1-1-100000000-1-1
χ302222-1222-1-1222-122-12222-1-1-1-1222-1-1-1-1-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-100-2-2000000-2-20-2000011110000000011
χ312222-1222-1-1222-122-1-2-2-2-2-1-1-1-1-2-22111111-12-1-122-1-1-1-11-2-2-211-1-111111100220000002-20-20000-1-11100000000-11
χ322222-1222-1-1222-122-1-2-2-2-2-1-1-1-1-2-22111111-12-1-122-1-1-1-11-2-2-211-1-111111100-2-2000000-2202000011-1-1000000001-1
χ332222-1222-1-1222-1-2-2-122-2-2-1-1-1-1222-1-1-1-1-1-1-1211-2-21111-12-2-211-1-1-1-111110022000000-2-2020000-1-1-1-10000000011
χ342222-1222-1-1222-1-2-2-122-2-2-1-1-1-1222-1-1-1-1-1-1-1211-2-21111-12-2-211-1-1-1-1111100-2-2000000220-20000111100000000-1-1
χ352222-1222-1-1222-1-2-2-1-2-222-1-1-1-1-2-22111111-1211-2-211111-222-1-1-1-111-1-1-1-10022000000-220-20000-1-111000000001-1
χ362222-1222-1-1222-1-2-2-1-2-222-1-1-1-1-2-22111111-1211-2-211111-222-1-1-1-111-1-1-1-100-2-20000002-202000011-1-100000000-11
χ372-22-2222-22-2-2-22-2002002i−2i2-2-2-20020000002-200000000002i−2i2i−2i2-2002i2i−2i−2i00002i−2i2i−2i00000000000000002-2000000
χ382-22-2222-22-2-2-22-2002002i−2i2-2-2-20020000002-200000000002i−2i2i−2i2-2002i2i−2i−2i0000−2i2i−2i2i0000000000000000-22000000
χ392-22-2222-22-2-2-22-200200−2i2i2-2-2-20020000002-20000000000−2i2i−2i2i2-200−2i−2i2i2i00002i−2i2i−2i0000000000000000-22000000
χ402-22-2222-22-2-2-22-200200−2i2i2-2-2-20020000002-20000000000−2i2i−2i2i2-200−2i−2i2i2i0000−2i2i−2i2i00000000000000002-2000000
χ412-22-222-222-2-2-22-22-2200002-2-2200-2000000-222-22-222-2-2000000-2200000000002i−2i−2i2i0000000000000000002i−2i0000
χ422-22-222-222-2-2-22-22-2200002-2-2200-2000000-222-22-222-2-2000000-220000000000−2i2i2i−2i000000000000000000−2i2i0000
χ432-22-222-222-2-2-22-2-22200002-2-2200-2000000-22-22-22-2-222000000-2200000000002i−2i−2i2i000000000000000000−2i2i0000
χ442-22-222-222-2-2-22-2-22200002-2-2200-2000000-22-22-22-2-222000000-220000000000−2i2i2i−2i0000000000000000002i−2i0000
χ4544444-2-4-444-2-2-2400-24-400-2-2-2-4222-4-42222-42000000004-2000022-2-2000000000000000000000000000000000000
χ4644444-2-4-444-2-2-2400-2-4400-2-2-2-4-2-2244-2-2-2-2-4200000000-4200002222000000000000000000000000000000000000
χ474444-24-4-4-2-2444-200-24-400-2-2-22-4-4-42222222-400000000-24000022-2-2000000000000000000000000000000000000
χ484444-24-4-4-2-2444-200-2-4400-2-2-2244-4-2-2-2-2-2-22-4000000002-400002222000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-24414444111-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-2-2-2-21111111100000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-2441-4-4-4-4111-222-222-1-1-1-1-2-2-2-2-2-2111122222211-1-1-1-1-1-100000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-4144-4-4111-2-2-2-2-2-21111-2-22222-1-1-1-1-2-222221111-1-1-1-100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41-4-444111-222-222-1-1-1-1-2-22222-1-1-1-122-2-2-2-211-1-1111100000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-20014-400111222222-1-1-1-12200003-33-3-2-20000-1-1113-33-300000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-20014-400111222222-1-1-1-1220000-33-33-2-20000-1-111-33-3300000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2001-44001112-2-22-2-211112200003-33-3220000-1-1-1-1-33-3300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2001-44001112-2-22-2-21111220000-33-33220000-1-1-1-13-33-300000000000000000000000000000000
χ5744-4-44400-444-4-4-40040000-44-4000000000000000000000000000000000022−2200000000000022−220000000000000000
χ5844-4-44400-444-4-4-40040000-44-40000000000000000000000000000000000−2222000000000000−22220000000000000000
χ5944-4-44-200-44-222-400-200002-22023−230002323−23−2300000000000000000000000022−22000000000000−226−600000000000000
χ6044-4-44-200-44-222-400-200002-22023−230002323−23−23000000000000000000000000−22220000000000002−2−6600000000000000
χ6144-4-44-200-44-222-400-200002-220−2323000−23−23232300000000000000000000000022−22000000000000−22−6600000000000000
χ6244-4-44-200-44-222-400-200002-220−2323000−23−232323000000000000000000000000−22220000000000002−26−600000000000000
χ634-44-44-24-44-422-2-400-2004i−4i-222-400-2000000420000000000−2i2i4i−4i-2200−2i−2i2i2i00000000000000000000000000000000
χ644-44-44-24-44-422-2-400-200−4i4i-222-400-20000004200000000002i−2i−4i4i-22002i2i−2i−2i00000000000000000000000000000000
χ654-44-44-2-444-422-2-44-4-20000-2224002000000-4-24-4-22-2-2220000002-200000000000000000000000000000000000000
χ664-44-44-2-444-422-2-4-44-20000-2224002000000-4-2-442-222-2-20000002-200000000000000000000000000000000000000
χ674-44-4-244-4-22-4-44200-2004i−4i-2222004000000-2-400000000004i−4i−2i2i-2200−2i−2i2i2i00000000000000000000000000000000
χ684-44-4-244-4-22-4-44200-200−4i4i-2222004000000-2-40000000000−4i4i2i−2i-22002i2i−2i−2i00000000000000000000000000000000
χ694-44-4-24-44-22-4-4424-4-20000-222-200-400000024-224-4-2-2220000002-200000000000000000000000000000000000000
χ704-44-4-24-44-22-4-442-44-20000-222-200-4000000242-2-4422-2-20000002-200000000000000000000000000000000000000
χ714-44-4-2-24-4-2222-22001004i−4i1-1-1200-2003i−3i3i−3i-2200003-3-3300−2i2i−2i2i1-13i−3iii−i−i00000000000000000000000000000000
χ724-44-4-2-24-4-2222-22001004i−4i1-1-1200-200−3i3i−3i3i-220000-333-300−2i2i−2i2i1-1−3i3iii−i−i00000000000000000000000000000000
χ734-44-4-2-24-4-2222-2200100−4i4i1-1-1200-2003i−3i3i−3i-220000-333-3002i−2i2i−2i1-13i−3i−i−iii00000000000000000000000000000000
χ744-44-4-2-24-4-2222-2200100−4i4i1-1-1200-200−3i3i−3i3i-2200003-3-33002i−2i2i−2i1-1−3i3i−i−iii00000000000000000000000000000000
χ754-44-4-2-2-44-2222-224-4100001-1-1-2002003i−3i3i−3i2-2-22-2211-1-1000000-11−3i3i−3i3i3i−3i00000000000000000000000000000000
χ764-44-4-2-2-44-2222-224-4100001-1-1-200200−3i3i−3i3i2-2-22-2211-1-1000000-113i−3i3i−3i−3i3i00000000000000000000000000000000
χ774-44-4-2-2-44-2222-22-44100001-1-1-2002003i−3i3i−3i2-22-22-2-1-111000000-11−3i3i3i−3i−3i3i00000000000000000000000000000000
χ784-44-4-2-2-44-2222-22-44100001-1-1-200200−3i3i−3i3i2-22-22-2-1-111000000-113i−3i−3i3i3i−3i00000000000000000000000000000000
χ794-4-444400-4-4-44-440040000-4-4400000000000000000000000000000000000022−220000000000000022−22000000000000
χ804-4-444400-4-4-44-440040000-4-44000000000000000000000000000000000000−222200000000000000−2222000000000000
χ814-4-44-240022-44-4-200-2000022-20000−2i32i3−2i32i32i3−2i30000000000000000000000000022−2200000000000000−22i6−i60000000000
χ824-4-44-240022-44-4-200-2000022-20000−2i32i3−2i32i32i3−2i300000000000000000000000000−2222000000000000002−2−i6i60000000000
χ834-4-44-240022-44-4-200-2000022-200002i3−2i32i3−2i3−2i32i30000000000000000000000000022−2200000000000000−22−i6i60000000000
χ844-4-44-240022-44-4-200-2000022-200002i3−2i32i3−2i3−2i32i300000000000000000000000000−2222000000000000002−2i6−i60000000000
χ8588-8-8-48004-48-8-8400-400004-44000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004-4-44440020000-22-2043−43000−23−23232300000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-4004-4-44440020000-22-20−43430002323−23−2300000000000000000000000000000000000000000000000000000000
χ888-8-888-400-8-84-44800-4000044-4000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400444-44-40020000-2-220000−4i34i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ908-8-88-4-400444-44-40020000-2-2200004i3−4i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000

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