Finite Group Databasebeta

← Group #11817749

Character table — Group #11817749

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121818181818181818242424242424242424242424242424242424242436363636
order122222223366666666666666223444466666666666666612121212121212121212121212121212444444444444444424446612121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-11-111-1-1-1-1111111-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-111-1-111-1-111-1-1
χ6111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111
χ8111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-11111-1-111-1-11111-1-1
χ9111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-111
χ10111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ11111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ12111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-1-1-11111-1-111
χ13111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1
χ14111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-111-1-1111111
χ15111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-111-1-11111
χ16111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ17222222222-1222-1-1-12-1-122-1-1222-12222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-100220022000000002020-1-10000-1-1-1-1-1-100000000
χ18222222222-1222-1-1-12-1-122-1-1222-12222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-100-2-200-2-200000000-20-2011000011111100000000
χ19222222222-1222-1-1-12-1-122-1-1222-1-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1-1-1-2-21111-2-211111111002200-2-20000000020-20-1-1000011-1-11100000000
χ20222222222-1222-1-1-12-1-122-1-1222-1-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1-1-1-2-21111-2-21111111100-2-2002200000000-2020110000-1-111-1-100000000
χ21222222222-1222-1-1-12-1-122-1-12-2-2-122-2-2-1-1-1-1-1-1-1-2-211111122-1-111-2-2-1-1-1-11111002200-2-200000000-202011000011-1-1-1-100000000
χ22222222222-1222-1-1-12-1-122-1-12-2-2-122-2-2-1-1-1-1-1-1-1-2-211111122-1-111-2-2-1-1-1-1111100-2-200220000000020-20-1-10000-1-1111100000000
χ23222222222-1222-1-1-12-1-122-1-12-2-2-1-2-222-1-1-1-1-1-1-1-2-2111111-2-211-1-1221111-1-1-1-10022002200000000-20-20110000-1-1-1-11100000000
χ24222222222-1222-1-1-12-1-122-1-12-2-2-1-2-222-1-1-1-1-1-1-1-2-2111111-2-211-1-1221111-1-1-1-100-2-200-2-2000000002020-1-100001111-1-100000000
χ2522222222-12-1-1-1222-122-1-122-122-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12200220000000000020200-1-1-1-1000000-1-1-1-10000
χ2622222222-12-1-1-1222-122-1-122-122-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-200-2-200000000000-20-200111100000011110000
χ2722222222-12-1-1-1222-122-1-122-122-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1-1-111-2-2-2-211111111112200-2-200000000000-20200-1-111000000-1-1110000
χ2822222222-12-1-1-1222-122-1-122-122-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1-1-111-2-2-2-21111111111-2-200220000000000020-20011-1-100000011-1-10000
χ2922222222-12-1-1-1222-122-1-122-1-2-2-122-2-2-1-1-1-1-1-1-111-2-21111-1-122-2-211-1-1-1-111112200-2-20000000000020-200-1-1-1-100000011110000
χ3022222222-12-1-1-1222-122-1-122-1-2-2-122-2-2-1-1-1-1-1-1-111-2-21111-1-122-2-211-1-1-1-11111-2-2002200000000000-202001111000000-1-1-1-10000
χ3122222222-12-1-1-1222-122-1-122-1-2-2-1-2-222-1-1-1-1-1-1-111-2-2111111-2-222-1-11111-1-1-1-122002200000000000-20-200-1-11100000011-1-10000
χ3222222222-12-1-1-1222-122-1-122-1-2-2-1-2-222-1-1-1-1-1-1-111-2-2111111-2-222-1-11111-1-1-1-1-2-200-2-2000000000002020011-1-1000000-1-1110000
χ33222-2-2-22-2222-2-222-2-22-22-2-2-22002000022-2-2-22-20000000000000000000000002-200002i−2i00002i2i−2i−2i0000002-2002i−2i000000000000
χ34222-2-2-22-2222-2-222-2-22-22-2-2-22002000022-2-2-22-20000000000000000000000002-20000−2i2i0000−2i−2i2i2i0000002-200−2i2i000000000000
χ35222-2-2-22-2222-2-222-2-22-22-2-2-22002000022-2-2-22-2000000000000000000000000-2200002i−2i0000−2i−2i2i2i000000-22002i−2i000000000000
χ36222-2-2-22-2222-2-222-2-22-22-2-2-22002000022-2-2-22-2000000000000000000000000-220000−2i2i00002i2i−2i−2i000000-2200−2i2i000000000000
χ3722-2-22-2-22222222-2-2-2-2-2-2-222-22-2200002-222-2-2-22-22-222-2-20000000000000000000000002i2i−2i−2i0000000000000000000000002i−2i00
χ3822-2-22-2-22222222-2-2-2-2-2-2-222-22-2200002-222-2-2-22-22-222-2-2000000000000000000000000−2i−2i2i2i000000000000000000000000−2i2i00
χ3922-2-22-2-22222222-2-2-2-2-2-2-222-2-22200002-222-2-2-2-22-22-2-2220000000000000000000000002i2i−2i−2i000000000000000000000000−2i2i00
χ4022-2-22-2-22222222-2-2-2-2-2-2-222-2-22200002-222-2-2-2-22-22-2-222000000000000000000000000−2i−2i2i2i0000000000000000000000002i−2i00
χ412-222-2-2-2222-22-2-222-2-2-2222-2-2002002i−2i-222-22-2-20000000000002i−2i2i−2i00002i2i−2i−2i000000002i−2i2i−2i2-22-2000000000000000000000000
χ422-222-2-2-2222-22-2-222-2-2-2222-2-2002002i−2i-222-22-2-20000000000002i−2i2i−2i00002i2i−2i−2i00000000−2i2i−2i2i-22-22000000000000000000000000
χ432-222-2-2-2222-22-2-222-2-2-2222-2-200200−2i2i-222-22-2-2000000000000−2i2i−2i2i0000−2i−2i2i2i000000002i−2i2i−2i-22-22000000000000000000000000
χ442-222-2-2-2222-22-2-222-2-2-2222-2-200200−2i2i-222-22-2-2000000000000−2i2i−2i2i0000−2i−2i2i2i00000000−2i2i−2i2i2-22-2000000000000000000000000
χ452-22-222-2-222-2-22-22-22-222-2-22-20020000-22-22-2-22000000000000000000000000002-22i−2i0000002i−2i−2i2i0000000000002-200002i−2i0000
χ462-22-222-2-222-2-22-22-22-222-2-22-20020000-22-22-2-22000000000000000000000000002-2−2i2i000000−2i2i2i−2i0000000000002-20000−2i2i0000
χ472-22-222-2-222-2-22-22-22-222-2-22-20020000-22-22-2-2200000000000000000000000000-222i−2i000000−2i2i2i−2i000000000000-2200002i−2i0000
χ482-22-222-2-222-2-22-22-22-222-2-22-20020000-22-22-2-2200000000000000000000000000-22−2i2i0000002i−2i−2i2i000000000000-220000−2i2i0000
χ492-2-2-2-222222-22-2-2-2-2222-2-22-220022-200-2-22-2-222000000002-22-2000022-2-20000000000002-2-22000000000000000000000000002-2
χ502-2-2-2-222222-22-2-2-2-2222-2-22-220022-200-2-22-2-222000000002-22-2000022-2-2000000000000-222-200000000000000000000000000-22
χ512-2-2-2-222222-22-2-2-2-2222-2-22-22002-2200-2-22-2-22200000000-22-220000-2-2220000000000002-2-2200000000000000000000000000-22
χ522-2-2-2-222222-22-2-2-2-2222-2-22-22002-2200-2-22-2-22200000000-22-220000-2-222000000000000-222-2000000000000000000000000002-2
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
χ57444-4-4-44-44-24-4-4-2-22-4-224-422400-20000-2-2222-220000000000000000000000000000004i−4i000000000000000000−2i2i000000000000
χ58444-4-4-44-44-24-4-4-2-22-4-224-422400-20000-2-2222-22000000000000000000000000000000−4i4i0000000000000000002i−2i000000000000
χ59444-4-4-44-4-24-22244-424-4-22-4-4-200-20000-2-2222-220000000000000000000000004-400000000000000000000-220000000000000000
χ60444-4-4-44-4-24-22244-424-4-22-4-4-200-20000-2-2222-22000000000000000000000000-44000000000000000000002-20000000000000000
χ6144-44-44-4-4444-4-44-444-44-44-4-4-400400004-4-4-44-440000000000000000000000000000000000000000000000000000000000000000
χ6244-44-44-4-44-24-4-4-22-242-2-4422-400-20000-2222-22-200000000000000000000000000000000000000000000000000000023−2300000000
χ6344-44-44-4-44-24-4-4-22-242-2-4422-400-20000-2222-22-2000000000000000000000000000000000000000000000000000000−232300000000
χ6444-44-44-4-4-24-2224-44-2-442-2-4-4200-20000-2222-22-20000000000000000000000000000000000000000000000000000000023−23000000
χ6544-44-44-4-4-24-2224-44-2-442-2-4-4200-20000-2222-22-200000000000000000000000000000000000000000000000000000000−2323000000
χ6644-4-44-4-444-2444-222-422-4-4-2-2-44-4-20000-22-2-22224-4-22-2-22200000000000000000000000000000000000000000000000000000000
χ6744-4-44-4-444-2444-222-422-4-4-2-2-4-44-20000-22-2-2222-442-222-2-200000000000000000000000000000000000000000000000000000000
χ6844-4-44-4-44-24-2-2-24-4-42-4-4224424-4-20000-22-2-2222-224-4-2-22200000000000000000000000000000000000000000000000000000000
χ6944-4-44-4-44-24-2-2-24-4-42-4-422442-44-20000-22-2-22222-2-4422-2-200000000000000000000000000000000000000000000000000000000
χ7044-4-44-4-44-2-2-2-2-2-22222222-2-224-4100001-111-1-1-1-22-2211-1-1000000003i−3i3i−3i3i−3i3i−3i0000000000000000000000000000000000000000
χ7144-4-44-4-44-2-2-2-2-2-22222222-2-224-4100001-111-1-1-1-22-2211-1-100000000−3i3i−3i3i−3i3i−3i3i0000000000000000000000000000000000000000
χ7244-4-44-4-44-2-2-2-2-2-22222222-2-22-44100001-111-1-1-12-22-2-1-111000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000
χ7344-4-44-4-44-2-2-2-2-2-22222222-2-22-44100001-111-1-1-12-22-2-1-11100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000
χ744-444-4-4-444-2-44-42-2-2-42244-22-400-2004i−4i2-2-22-222000000000000−2i2i4i−4i0000−2i−2i2i2i0000000000000000000000000000000000000000
χ754-444-4-4-444-2-44-42-2-2-42244-22-400-200−4i4i2-2-22-2220000000000002i−2i−4i4i00002i2i−2i−2i0000000000000000000000000000000000000000
χ764-444-4-4-44-242-22-4442-4-4-2-24-4200-2004i−4i2-2-22-2220000000000004i−4i−2i2i0000−2i−2i2i2i0000000000000000000000000000000000000000
χ774-444-4-4-44-242-22-4442-4-4-2-24-4200-200−4i4i2-2-22-222000000000000−4i4i2i−2i00002i2i−2i−2i0000000000000000000000000000000000000000
χ784-444-4-4-44-2-22-222-2-2222-2-2-222001004i−4i-111-11-1-100003-33-30000−2i2i−2i2i3i−3i−3i3iii−i−i0000000000000000000000000000000000000000
χ794-444-4-4-44-2-22-222-2-2222-2-2-222001004i−4i-111-11-1-10000-33-330000−2i2i−2i2i−3i3i3i−3iii−i−i0000000000000000000000000000000000000000
χ804-444-4-4-44-2-22-222-2-2222-2-2-22200100−4i4i-111-11-1-100003-33-300002i−2i2i−2i−3i3i3i−3i−i−iii0000000000000000000000000000000000000000
χ814-444-4-4-44-2-22-222-2-2222-2-2-22200100−4i4i-111-11-1-10000-33-3300002i−2i2i−2i3i−3i−3i3i−i−iii0000000000000000000000000000000000000000
χ824-44-444-4-44-2-4-442-2242-24-42-2-400-200002-22-222-2000000000000000000000000004-4000000000000000000000000-220000000000
χ834-44-444-4-44-2-4-442-2242-24-42-2-400-200002-22-222-200000000000000000000000000-440000000000000000000000002-20000000000
χ844-44-444-4-4-2422-2-44-4-2-44-22-44200-200002-22-222-200000000000000000000000000004i−4i0000000000000000000000000000−2i2i0000
χ854-44-444-4-4-2422-2-44-4-2-44-22-44200-200002-22-222-20000000000000000000000000000−4i4i00000000000000000000000000002i−2i0000
χ864-4-444-44-444-4-44-4-44-44-4-44-4440040000-4-4-4444-40000000000000000000000000000000000000000000000000000000000000000
χ874-4-444-44-44-2-4-4422-2-4-22-442-2400-20000222-2-2-2200000000000000000000000000000000000000000000−2i32i3000000000000000000
χ884-4-444-44-44-2-4-4422-2-4-22-442-2400-20000222-2-2-22000000000000000000000000000000000000000000002i3−2i3000000000000000000
χ894-4-444-44-4-2422-2-4-4424-42-2-44-200-20000222-2-2-22000000000000000000000000000000000000000000000000−2i32i300000000000000
χ904-4-444-44-4-2422-2-4-4424-42-2-44-200-20000222-2-2-220000000000000000000000000000000000000000000000002i3−2i300000000000000
χ914-4-4-4-44444-2-44-42224-2-2-4-4-22400-24-40022-222-2-2000000004-4-220000-2-22200000000000000000000000000000000000000000000
χ924-4-4-4-44444-2-44-42224-2-2-4-4-22400-2-440022-222-2-200000000-442-2000022-2-200000000000000000000000000000000000000000000
χ934-4-4-4-4444-242-22-4-4-4-244224-4-200-24-40022-222-2-200000000-224-40000-2-22200000000000000000000000000000000000000000000
χ944-4-4-4-4444-242-22-4-4-4-244224-4-200-2-440022-222-2-2000000002-2-44000022-2-200000000000000000000000000000000000000000000
χ954-4-4-4-4444-2-22-22222-2-2-222-22-20014-400-1-11-1-11100003-3-33-22-22000011-1-13-3-330000000000000000000000000000000000000000
χ964-4-4-4-4444-2-22-22222-2-2-222-22-20014-400-1-11-1-1110000-333-3-22-22000011-1-1-333-30000000000000000000000000000000000000000
χ974-4-4-4-4444-2-22-22222-2-2-222-22-2001-4400-1-11-1-11100003-3-332-22-20000-1-111-333-30000000000000000000000000000000000000000
χ984-4-4-4-4444-2-22-22222-2-2-222-22-2001-4400-1-11-1-1110000-333-32-22-20000-1-1113-3-330000000000000000000000000000000000000000
χ99888-8-8-88-8-4-4-444-4-444-44-4444-4002000022-2-2-22-20000000000000000000000000000000000000000000000000000000000000000
χ10088-88-88-8-8-4-4-444-44-4-44-44-444400200002-2-2-22-220000000000000000000000000000000000000000000000000000000000000000
χ1018-88-888-8-8-4-444-44-44-44-4-444-440020000-22-22-2-220000000000000000000000000000000000000000000000000000000000000000
χ1028-8-888-88-8-4-444-444-44-444-44-4-40020000-2-2-2222-20000000000000000000000000000000000000000000000000000000000000000

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