Finite Group Databasebeta

← Group #11819060

Character table — Group #11819060

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121818181818181818242424242424242424242424242424242424242436363636
order12222222336666666666666622344446666666666666661212121212121212121212121212121244444444444444444444121212121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-111
χ6111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-11111-1-1
χ7111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-111-1-1
χ8111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111
χ9111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1
χ10111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-11111-1-11111
χ11111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-1111111
χ12111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-111-1-1-1-1-1-1
χ13111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-1
χ14111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-111
χ15111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-111
χ16111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ17222222222-1222-1-1-12-122-1-12-122-12222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1002200220000000002020000-1-1-1-10000-1-1-1-10000
χ18222222222-1222-1-1-12-122-1-12-122-12222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000-20-200001111000011110000
χ19222222222-1222-1-1-12-122-1-12-122-1-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1-1-1-2-211-2-21111111111002200-2-200000000020-20000-1-1110000-1-1110000
χ20222222222-1222-1-1-12-122-1-12-122-1-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1-1-1-2-211-2-2111111111100-2-20022000000000-202000011-1-1000011-1-10000
χ21222222222-1222-1-1-12-122-1-12-1-2-2-122-2-2-1-1-1-1-1-1-1-2-211111122-1-1-2-211-1-1-1-1111100220022000000000-20-20000-1-111000011-1-10000
χ22222222222-1222-1-1-12-122-1-12-1-2-2-122-2-2-1-1-1-1-1-1-1-2-211111122-1-1-2-211-1-1-1-1111100-2-200-2-2000000000202000011-1-10000-1-1110000
χ23222222222-1222-1-1-12-122-1-12-1-2-2-1-2-222-1-1-1-1-1-1-1-2-2111111-2-21122-1-11111-1-1-1-1002200-2-2000000000-2020000-1-1-1-1000011110000
χ24222222222-1222-1-1-12-122-1-12-1-2-2-1-2-222-1-1-1-1-1-1-1-2-2111111-2-21122-1-11111-1-1-1-100-2-2002200000000020-2000011110000-1-1-1-10000
χ2522222222-12-1-1-1222-12-1-122-1222-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122002200000000002020-1-1-1-10000-1-1-1-100000000
χ2622222222-12-1-1-1222-12-1-122-1222-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-200-2-20000000000-20-2011110000111100000000
χ2722222222-12-1-1-1222-12-1-122-1222-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1-1-111-2-211-2-2111111112200-2-2000000000020-20-1-1110000-1-11100000000
χ2822222222-12-1-1-1222-12-1-122-1222-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1-1-111-2-211-2-211111111-2-200220000000000-202011-1-1000011-1-100000000
χ2922222222-12-1-1-1222-12-1-122-12-2-2-122-2-2-1-1-1-1-1-1-111-2-21111-1-12211-2-2-1-1-1-111112200220000000000-20-20-1-111000011-1-100000000
χ3022222222-12-1-1-1222-12-1-122-12-2-2-122-2-2-1-1-1-1-1-1-111-2-21111-1-12211-2-2-1-1-1-11111-2-200-2-20000000000202011-1-10000-1-11100000000
χ3122222222-12-1-1-1222-12-1-122-12-2-2-1-2-222-1-1-1-1-1-1-111-2-2111111-2-2-1-1221111-1-1-1-12200-2-20000000000-2020-1-1-1-10000111100000000
χ3222222222-12-1-1-1222-12-1-122-12-2-2-1-2-222-1-1-1-1-1-1-111-2-2111111-2-2-1-1221111-1-1-1-1-2-20022000000000020-2011110000-1-1-1-100000000
χ33222-2-2-22-2222-2-22-2-222-2-2-2-222002002-22-2-2-2-2220000000000002-22-2000022-2-2000000002i2i−2i−2i000000000000000000000000002i−2i
χ34222-2-2-22-2222-2-22-2-222-2-2-2-222002002-22-2-2-2-2220000000000002-22-2000022-2-200000000−2i−2i2i2i00000000000000000000000000−2i2i
χ35222-2-2-22-2222-2-22-2-222-2-2-2-22200200-222-2-2-2-222000000000000-22-220000-2-222000000002i2i−2i−2i00000000000000000000000000−2i2i
χ36222-2-2-22-2222-2-22-2-222-2-2-2-22200200-222-2-2-2-222000000000000-22-220000-2-22200000000−2i−2i2i2i000000000000000000000000002i−2i
χ3722-22-2-2-22222-2-22-2-2-2-22222-2-20022i−2i00222-2-2-2-2000000002i−2i2i−2i00002i2i−2i−2i0000000000002i−2i2i−2i22-2-2000000000000000000000000
χ3822-22-2-2-22222-2-22-2-2-2-22222-2-20022i−2i00222-2-2-2-2000000002i−2i2i−2i00002i2i−2i−2i000000000000−2i2i−2i2i-2-222000000000000000000000000
χ3922-22-2-2-22222-2-22-2-2-2-22222-2-2002−2i2i00222-2-2-2-200000000−2i2i−2i2i0000−2i−2i2i2i0000000000002i−2i2i−2i-2-222000000000000000000000000
χ4022-22-2-2-22222-2-22-2-2-2-22222-2-2002−2i2i00222-2-2-2-200000000−2i2i−2i2i0000−2i−2i2i2i000000000000−2i2i−2i2i22-2-2000000000000000000000000
χ4122-2-222-2-222222222-2-2-2-2-2-2-2-22-2200002-2-222-2-22-22-222-2-20000000000000000000000002-2-220000000000000000000000002-200
χ4222-2-222-2-222222222-2-2-2-2-2-2-2-22-2200002-2-222-2-22-22-222-2-2000000000000000000000000-222-2000000000000000000000000-2200
χ4322-2-222-2-222222222-2-2-2-2-2-2-2-2-22200002-2-222-2-2-22-22-2-2220000000000000000000000002-2-22000000000000000000000000-2200
χ4422-2-222-2-222222222-2-2-2-2-2-2-2-2-22200002-2-222-2-2-22-22-2-222000000000000000000000000-222-20000000000000000000000002-200
χ452-22-22-2-2222-22-2-22-2222-22-2-2-20020000-22-22-22-20000000000000000000000002i−2i2i−2i000000002-22-200002i−2i002i−2i00000000000000
χ462-22-22-2-2222-22-2-22-2222-22-2-2-20020000-22-22-22-20000000000000000000000002i−2i−2i2i00000000-22-2200002i−2i00−2i2i00000000000000
χ472-22-22-2-2222-22-2-22-2222-22-2-2-20020000-22-22-22-2000000000000000000000000−2i2i2i−2i00000000-22-220000−2i2i002i−2i00000000000000
χ482-22-22-2-2222-22-2-22-2222-22-2-2-20020000-22-22-22-2000000000000000000000000−2i2i−2i2i000000002-22-20000−2i2i00−2i2i00000000000000
χ492-2-2-2-222222-2-22-2-22-2-22-22-2220020000-22-2-22-2200000000000000000000000000002-22-200002-2-22000000000000002-2002-20000
χ502-2-2-2-222222-2-22-2-22-2-22-22-2220020000-22-2-22-2200000000000000000000000000002-2-220000-222-2000000000000002-200-220000
χ512-2-2-2-222222-2-22-2-22-2-22-22-2220020000-22-2-22-220000000000000000000000000000-222-20000-222-200000000000000-22002-20000
χ522-2-2-2-222222-2-22-2-22-2-22-22-2220020000-22-2-22-220000000000000000000000000000-22-2200002-2-2200000000000000-2200-220000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-244144441111111-2-2-2-21111-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441-4-4-4-41111111-2-2-2-2111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4144-4-411111112222-1-1-1-1-2-2-2-222221111-1-1-1-10000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-41-4-44411111112222-1-1-1-12222-2-2-2-2-1-1-1-111110000000000000000000000000000000000000000
χ57444-4-4-44-44-24-4-4-2224-2-4-4224-200-2004-4-22222-2-20000000000004-4-220000-2-2220000000000000000000000000000000000000000
χ58444-4-4-44-44-24-4-4-2224-2-4-4224-200-200-44-22222-2-2000000000000-442-2000022-2-20000000000000000000000000000000000000000
χ59444-4-4-44-4-24-2224-4-4-2422-4-4-2400-2004-4-22222-2-2000000000000-224-40000-2-2220000000000000000000000000000000000000000
χ60444-4-4-44-4-24-2224-4-4-2422-4-4-2400-200-44-22222-2-20000000000002-2-44000022-2-20000000000000000000000000000000000000000
χ61444-4-4-44-4-2-2-222-222-2-22222-2-2001004-41-1-1-1-11100003-33-30000-22-223-33-311-1-10000000000000000000000000000000000000000
χ62444-4-4-44-4-2-2-222-222-2-22222-2-2001004-41-1-1-1-1110000-33-330000-22-22-33-3311-1-10000000000000000000000000000000000000000
χ63444-4-4-44-4-2-2-222-222-2-22222-2-200100-441-1-1-1-11100003-33-300002-22-2-33-33-1-1110000000000000000000000000000000000000000
χ64444-4-4-44-4-2-2-222-222-2-22222-2-200100-441-1-1-1-1110000-33-3300002-22-23-33-3-1-1110000000000000000000000000000000000000000
χ6544-44-4-4-444-24-4-4-222-4244-2-2-4200-24i−4i00-2-2-22222000000004i−4i−2i2i0000−2i−2i2i2i00000000000000000000000000000000000000000000
χ6644-44-4-4-444-24-4-4-222-4244-2-2-4200-2−4i4i00-2-2-2222200000000−4i4i2i−2i00002i2i−2i−2i00000000000000000000000000000000000000000000
χ6744-44-4-4-44-24-2224-4-42-4-2-2442-400-24i−4i00-2-2-2222200000000−2i2i4i−4i0000−2i−2i2i2i00000000000000000000000000000000000000000000
χ6844-44-4-4-44-24-2224-4-42-4-2-2442-400-2−4i4i00-2-2-22222000000002i−2i−4i4i00002i2i−2i−2i00000000000000000000000000000000000000000000
χ6944-44-4-4-44-2-2-222-22222-2-2-2-2220014i−4i00111-1-1-1-100003-3-33−2i2i−2i2i0000ii−i−i3i−3i3i−3i0000000000000000000000000000000000000000
χ7044-44-4-4-44-2-2-222-22222-2-2-2-2220014i−4i00111-1-1-1-10000-333-3−2i2i−2i2i0000ii−i−i−3i3i−3i3i0000000000000000000000000000000000000000
χ7144-44-4-4-44-2-2-222-22222-2-2-2-222001−4i4i00111-1-1-1-100003-3-332i−2i2i−2i0000−i−iii−3i3i−3i3i0000000000000000000000000000000000000000
χ7244-44-4-4-44-2-2-222-22222-2-2-2-222001−4i4i00111-1-1-1-10000-333-32i−2i2i−2i0000−i−iii3i−3i3i−3i0000000000000000000000000000000000000000
χ7344-4-444-4-44-2444-2-2-2-42-4-422-424-4-20000-222-2-2224-4-22-2-22200000000000000000000000000000000000000000000000000000000
χ7444-4-444-4-44-2444-2-2-2-42-4-422-42-44-20000-222-2-222-442-222-2-200000000000000000000000000000000000000000000000000000000
χ7544-4-444-4-4-24-2-2-24442-422-4-42-44-4-20000-222-2-222-224-4-2-22200000000000000000000000000000000000000000000000000000000
χ7644-4-444-4-4-24-2-2-24442-422-4-42-4-44-20000-222-2-2222-2-4422-2-200000000000000000000000000000000000000000000000000000000
χ7744-4-444-4-4-2-2-2-2-2-2-2-2222222224-4100001-1-111-1-1-22-2211-1-1000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000
χ7844-4-444-4-4-2-2-2-2-2-2-2-2222222224-4100001-1-111-1-1-22-2211-1-100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000
χ7944-4-444-4-4-2-2-2-2-2-2-2-222222222-44100001-1-111-1-12-22-2-1-111000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000
χ8044-4-444-4-4-2-2-2-2-2-2-2-222222222-44100001-1-111-1-12-22-2-1-11100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000
χ814-444-44-4-444-4-44-4-4444-44-44-4-40040000-4-44-444-40000000000000000000000000000000000000000000000000000000000000000
χ824-444-44-4-44-2-4-4422-24-2-442-2-4200-2000022-22-2-220000000000000000000000000000000000000000000000000023−23000000000000
χ834-444-44-4-44-2-4-4422-24-2-442-2-4200-2000022-22-2-2200000000000000000000000000000000000000000000000000−2323000000000000
χ844-444-44-4-4-2422-2-4-44-242-2-442-400-2000022-22-2-22000000000000000000000000000000000000000000000023−230000000000000000
χ854-444-44-4-4-2422-2-4-44-242-2-442-400-2000022-22-2-220000000000000000000000000000000000000000000000−23230000000000000000
χ864-44-44-4-444-2-44-42-224-24-4-22-4200-200002-22-22-22000000000000000000000000004i−4i00000000000000000000−2i2i00000000000000
χ874-44-44-4-444-2-44-42-224-24-4-22-4200-200002-22-22-2200000000000000000000000000−4i4i000000000000000000002i−2i00000000000000
χ884-44-44-4-44-242-22-44-4-24-224-42-400-200002-22-22-220000000000000000000000004i−4i000000000000000000−2i2i000000000000000000
χ894-44-44-4-44-242-22-44-4-24-224-42-400-200002-22-22-22000000000000000000000000−4i4i0000000000000000002i−2i000000000000000000
χ904-4-444-44-444-44-4-44-4-4-4-44-44440040000-4-444-4-440000000000000000000000000000000000000000000000000000000000000000
χ914-4-444-44-44-2-44-42-22-42-442-24-200-2000022-2-222-200000000000000000000000000000000000000000000000000000000−2i32i3000000
χ924-4-444-44-44-2-44-42-22-42-442-24-200-2000022-2-222-2000000000000000000000000000000000000000000000000000000002i3−2i3000000
χ934-4-444-44-4-242-22-44-42-42-2-44-2400-2000022-2-222-20000000000000000000000000000000000000000000000000000−2i32i30000000000
χ944-4-444-44-4-242-22-44-42-42-2-44-2400-2000022-2-222-200000000000000000000000000000000000000000000000000002i3−2i30000000000
χ954-4-4-4-44444-2-4-4422-2-424-4-224-200-200002-222-22-20000000000000000000000000000004-400000000000000000000000000-220000
χ964-4-4-4-44444-2-4-4422-2-424-4-224-200-200002-222-22-2000000000000000000000000000000-44000000000000000000000000002-20000
χ974-4-4-4-4444-2422-2-4-442-4-224-4-2400-200002-222-22-200000000000000000000000000004-4000000000000000000000000-2200000000
χ984-4-4-4-4444-2422-2-4-442-4-224-4-2400-200002-222-22-20000000000000000000000000000-440000000000000000000000002-200000000
χ998-888-88-8-8-4-444-444-4-4-44-44-4440020000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000
χ1008-88-88-8-88-4-44-444-44-4-4-44-44440020000-22-22-22-20000000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-88-8-4-44-444-44444-44-4-4-40020000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-8-8888-4-444-444-444-44-44-4-40020000-22-2-22-220000000000000000000000000000000000000000000000000000000000000000

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