Finite Group Databasebeta

← Group #11812988

Character table — Group #11812988

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121818181818181818242424242424242424242424242424242424242436363636
order122222223366666666666666223444466666666666666612121212121212121212121212121212444444442222444424446612121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-111111111-1-1-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-11-11-1-11111-1-1-1-111-1-111-1-111
χ7111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-111-1-1-1-11111-1-111-1-1-1-111
χ8111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-111111111-1-1
χ9111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111111-1-111-1-111-1-1-1-1-1-111
χ10111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111111-11-11111-1-1-1-111-1-1-1-11111-1-1
χ11111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-11-11-1-1-1-11111-1-11111-1-111-1-1
χ12111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-111
χ13111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1
χ14111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11111
χ15111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111111
χ16111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ17222222222-122-1-1-12-1222-1-12-122-12222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122002200000000002200-1-1-1-1-1-1000000-1-1000000
χ18222222222-122-1-1-12-1222-1-12-122-12222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-200-2-20000000000-2-20011111100000011000000
χ19222222222-122-1-1-12-1222-1-12-122-1-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1-1-1-2-211-2-211111111112200-2-20000000000-220011-1-1-1-100000011000000
χ20222222222-122-1-1-12-1222-1-12-122-1-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1-1-1-2-211-2-21111111111-2-2002200000000002-200-1-11111000000-1-1000000
χ21222222222-122-1-1-12-1222-1-12-1-2-2-122-2-2-1-1-1-1-1-1-1-2-2111111-2-21122-1-1-1-1-1-111112200-2-200000000002-200-1-1-1-11100000011000000
χ22222222222-122-1-1-12-1222-1-12-1-2-2-122-2-2-1-1-1-1-1-1-1-2-2111111-2-21122-1-1-1-1-1-11111-2-200220000000000-22001111-1-1000000-1-1000000
χ23222222222-122-1-1-12-1222-1-12-1-2-2-1-2-222-1-1-1-1-1-1-1-2-211111122-1-1-2-2111111-1-1-1-12200220000000000-2-20011-1-111000000-1-1000000
χ24222222222-122-1-1-12-1222-1-12-1-2-2-1-2-222-1-1-1-1-1-1-1-2-211111122-1-1-2-2111111-1-1-1-1-2-200-2-200000000002200-1-111-1-100000011000000
χ2522222222-12-1-1222-12-1-1-122-1222-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100220022000000000022000000-1-1-1-1-1-100-1-10000
χ2622222222-12-1-1222-12-1-1-122-1222-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100-2-200-2-20000000000-2-200000011111100110000
χ2722222222-12-1-1222-12-1-1-122-1222-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1-1-111-2-211-2-211111111002200-2-200000000002-2000000-1-1-1-11100110000
χ2822222222-12-1-1222-12-1-1-122-1222-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1-1-111-2-211-2-21111111100-2-200220000000000-220000001111-1-100-1-10000
χ2922222222-12-1-1222-12-1-1-122-12-2-2-122-2-2-1-1-1-1-1-1-111-2-2111111-2-2-1-122-1-1-1-11111002200-2-20000000000-22000000-1-111-1-100110000
χ3022222222-12-1-1222-12-1-1-122-12-2-2-122-2-2-1-1-1-1-1-1-111-2-2111111-2-2-1-122-1-1-1-1111100-2-2002200000000002-200000011-1-11100-1-10000
χ3122222222-12-1-1222-12-1-1-122-12-2-2-1-2-222-1-1-1-1-1-1-111-2-21111-1-12211-2-21111-1-1-1-1002200220000000000-2-2000000-1-1111100-1-10000
χ3222222222-12-1-1222-12-1-1-122-12-2-2-1-2-222-1-1-1-1-1-1-111-2-21111-1-12211-2-21111-1-1-1-100-2-200-2-200000000002200000011-1-1-1-100110000
χ33222-2-22-2-222222-2-2-2-2-2-2-22-222002000022-2-2-22-2000000000000000000000000002i−2i2-20000002i2i−2i−2i00000000002i−2i00002-2000000
χ34222-2-22-2-222222-2-2-2-2-2-2-22-222002000022-2-2-22-2000000000000000000000000002i−2i-22000000−2i−2i2i2i00000000002i−2i0000-22000000
χ35222-2-22-2-222222-2-2-2-2-2-2-22-222002000022-2-2-22-200000000000000000000000000−2i2i2-2000000−2i−2i2i2i0000000000−2i2i00002-2000000
χ36222-2-22-2-222222-2-2-2-2-2-2-22-222002000022-2-2-22-200000000000000000000000000−2i2i-220000002i2i−2i−2i0000000000−2i2i0000-22000000
χ3722-22-2-2-22222-222-2222-2-2-2-2-2-200200002-22-2-2-220000000000000000000000002i−2i00002i−2i00002-22-20000002i−2i00000000002i−2i0000
χ3822-22-2-2-22222-222-2222-2-2-2-2-2-200200002-22-2-2-220000000000000000000000002i−2i0000−2i2i0000-22-220000002i−2i0000000000−2i2i0000
χ3922-22-2-2-22222-222-2222-2-2-2-2-2-200200002-22-2-2-22000000000000000000000000−2i2i00002i−2i0000-22-22000000−2i2i00000000002i−2i0000
χ4022-22-2-2-22222-222-2222-2-2-2-2-2-200200002-22-2-2-22000000000000000000000000−2i2i0000−2i2i00002-22-2000000−2i2i0000000000−2i2i0000
χ4122-2-22-22-2222-22-22-2-2-222-22-2-2002002i−2i2-2-222-2-2000000002i−2i2i−2i000000002i2i−2i−2i0000000022-2-22i−2i−2i2i000000000000000000000000
χ4222-2-22-22-2222-22-22-2-2-222-22-2-2002002i−2i2-2-222-2-2000000002i−2i2i−2i000000002i2i−2i−2i00000000-2-222−2i2i2i−2i000000000000000000000000
χ4322-2-22-22-2222-22-22-2-2-222-22-2-200200−2i2i2-2-222-2-200000000−2i2i−2i2i00000000−2i−2i2i2i0000000022-2-2−2i2i2i−2i000000000000000000000000
χ4422-2-22-22-2222-22-22-2-2-222-22-2-200200−2i2i2-2-222-2-200000000−2i2i−2i2i00000000−2i−2i2i2i00000000-2-2222i−2i−2i2i000000000000000000000000
χ452-222-2-22-222-22-222-2-222-22-2-2-20022i−2i00-2222-2-2-20000000000002i−2i2i−2i2i2i−2i−2i0000000000002-22-2000000000000000000000000002i−2i
χ462-222-2-22-222-22-222-2-222-22-2-2-20022i−2i00-2222-2-2-20000000000002i−2i2i−2i2i2i−2i−2i000000000000-22-2200000000000000000000000000−2i2i
χ472-222-2-22-222-22-222-2-222-22-2-2-2002−2i2i00-2222-2-2-2000000000000−2i2i−2i2i−2i−2i2i2i0000000000002-22-200000000000000000000000000−2i2i
χ482-222-2-22-222-22-222-2-222-22-2-2-2002−2i2i00-2222-2-2-2000000000000−2i2i−2i2i−2i−2i2i2i000000000000-22-22000000000000000000000000002i−2i
χ492-2-2-2-222222-2-2-2-2222-22-2-2-2222-220000-2-2-22-2222-22-222-2-20000000000000000000000002-2-220000000000000000000000002-200
χ502-2-2-2-222222-2-2-2-2222-22-2-2-2222-220000-2-2-22-2222-22-222-2-2000000000000000000000000-222-2000000000000000000000000-2200
χ512-2-2-2-222222-2-2-2-2222-22-2-2-222-2220000-2-2-22-222-22-22-2-2220000000000000000000000002-2-22000000000000000000000000-2200
χ522-2-2-2-222222-2-2-2-2222-22-2-2-222-2220000-2-2-22-222-22-22-2-222000000000000000000000000-222-20000000000000000000000002-200
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
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4144-4-411111112222-1-1-1-12222-2-2-2-21111-1-1-1-10000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-41-4-44411111112222-1-1-1-1-2-2-2-22222-1-1-1-111110000000000000000000000000000000000000000
χ57444-4-44-4-44-244-222-42-4-4-4-224-200-20000-2-2222-2200000000000000000000000000004-400000000000000000000000000-22000000
χ58444-4-44-4-44-244-222-42-4-4-4-224-200-20000-2-2222-220000000000000000000000000000-44000000000000000000000000002-2000000
χ59444-4-44-4-4-24-2-24-4-42-42224-4-2400-20000-2-2222-22000000000000000000000000004i−4i0000000000000000000000−2i2i000000000000
χ60444-4-44-4-4-24-2-24-4-42-42224-4-2400-20000-2-2222-2200000000000000000000000000−4i4i00000000000000000000002i−2i000000000000
χ6144-44-4-4-444-24-4-2-224-24-4-422-4200-20000-22-2222-20000000000000000000000004i−4i00000000000000000000−2i2i0000000000000000
χ6244-44-4-4-444-24-4-2-224-24-4-422-4200-20000-22-2222-2000000000000000000000000−4i4i000000000000000000002i−2i0000000000000000
χ6344-44-4-4-44-24-2244-4-24-222-4-42-400-20000-22-2222-20000000000000000000000000000004i−4i00000000000000000000000000−2i2i0000
χ6444-44-4-4-44-24-2244-4-24-222-4-42-400-20000-22-2222-2000000000000000000000000000000−4i4i000000000000000000000000002i−2i0000
χ6544-4-44-44-44-24-4-22-2-42-4442-2-4200-2004i−4i-222-2-222000000004i−4i−2i2i00000000−2i−2i2i2i0000000000000000000000000000000000000000
χ6644-4-44-44-44-24-4-22-2-42-4442-2-4200-200−4i4i-222-2-22200000000−4i4i2i−2i000000002i2i−2i−2i0000000000000000000000000000000000000000
χ6744-4-44-44-4-24-224-442-42-2-2-442-400-2004i−4i-222-2-22200000000−2i2i4i−4i00000000−2i−2i2i2i0000000000000000000000000000000000000000
χ6844-4-44-44-4-24-224-442-42-2-2-442-400-200−4i4i-222-2-222000000002i−2i−4i4i000000002i2i−2i−2i0000000000000000000000000000000000000000
χ6944-4-44-44-4-2-2-22-22-2222-2-22-222001004i−4i1-1-111-1-100003-33-3−2i2i−2i2i00003i−3i3i−3iii−i−i0000000000000000000000000000000000000000
χ7044-4-44-44-4-2-2-22-22-2222-2-22-222001004i−4i1-1-111-1-10000-33-33−2i2i−2i2i0000−3i3i−3i3iii−i−i0000000000000000000000000000000000000000
χ7144-4-44-44-4-2-2-22-22-2222-2-22-22200100−4i4i1-1-111-1-100003-33-32i−2i2i−2i0000−3i3i−3i3i−i−iii0000000000000000000000000000000000000000
χ7244-4-44-44-4-2-2-22-22-2222-2-22-22200100−4i4i1-1-111-1-10000-33-332i−2i2i−2i00003i−3i3i−3i−i−iii0000000000000000000000000000000000000000
χ734-444-4-44-44-2-442-2-2-4244-4-22-4200-24i−4i002-2-2-22220000000000004i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000000
χ744-444-4-44-44-2-442-2-2-4244-4-22-4200-2−4i4i002-2-2-2222000000000000−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000
χ754-444-4-44-4-242-2-4442-4-2-224-42-400-24i−4i002-2-2-2222000000000000−2i2i4i−4i−2i−2i2i2i00000000000000000000000000000000000000000000
χ764-444-4-44-4-242-2-4442-4-2-224-42-400-2−4i4i002-2-2-22220000000000002i−2i−4i4i2i2i−2i−2i00000000000000000000000000000000000000000000
χ774-444-4-44-4-2-22-22-2-222-2-22-22220014i−4i00-1111-1-1-100003-3-330000−2i2i−2i2iii−i−i3i−3i3i−3i0000000000000000000000000000000000000000
χ784-444-4-44-4-2-22-22-2-222-2-22-22220014i−4i00-1111-1-1-10000-333-30000−2i2i−2i2iii−i−i−3i3i−3i3i0000000000000000000000000000000000000000
χ794-444-4-44-4-2-22-22-2-222-2-22-2222001−4i4i00-1111-1-1-100003-3-3300002i−2i2i−2i−i−iii−3i3i−3i3i0000000000000000000000000000000000000000
χ804-444-4-44-4-2-22-22-2-222-2-22-2222001−4i4i00-1111-1-1-10000-333-300002i−2i2i−2i−i−iii3i−3i3i−3i0000000000000000000000000000000000000000
χ814-44-44-4-4444-44-4-4-444-4-4444-4-40040000-44-4-44-440000000000000000000000000000000000000000000000000000000000000000
χ824-44-44-4-444-2-442224-2-4-44-2-2-4200-200002-222-22-2000000000000000000000000000000000000000000000000−2i32i300000000000000
χ834-44-44-4-444-2-442224-2-4-44-2-2-4200-200002-222-22-20000000000000000000000000000000000000000000000002i3−2i300000000000000
χ844-44-44-4-44-242-2-4-4-4-2422-2442-400-200002-222-22-200000000000000000000000000000000000000000000000000000023−2300000000
χ854-44-44-4-44-242-2-4-4-4-2422-2442-400-200002-222-22-2000000000000000000000000000000000000000000000000000000−232300000000
χ864-4-4444-4-444-4-4-44-4-4-44-44-44440040000-4-44-444-40000000000000000000000000000000000000000000000000000000000000000
χ874-4-4444-4-44-2-4-42-22-424-442-24-200-2000022-22-2-2200000000000000000000000000000000000000000000−2i32i3000000000000000000
χ884-4-4444-4-44-2-4-42-22-424-442-24-200-2000022-22-2-22000000000000000000000000000000000000000000002i3−2i3000000000000000000
χ894-4-4444-4-4-2422-44-42-4-22-2-44-2400-2000022-22-2-220000000000000000000000000000000000000000000000000000−2i32i30000000000
χ904-4-4444-4-4-2422-44-42-4-22-2-44-2400-2000022-22-2-2200000000000000000000000000000000000000000000000000002i3−2i30000000000
χ914-4-4-4-44444-2-4-422-24-2-44-4224-24-4-20000222-22-2-24-4-22-2-22200000000000000000000000000000000000000000000000000000000
χ924-4-4-4-44444-2-4-422-24-2-44-4224-2-44-20000222-22-2-2-442-222-2-200000000000000000000000000000000000000000000000000000000
χ934-4-4-4-4444-2422-4-44-242-22-4-4-244-4-20000222-22-2-2-224-4-2-22200000000000000000000000000000000000000000000000000000000
χ944-4-4-4-4444-2422-4-44-242-22-4-4-24-44-20000222-22-2-22-2-4422-2-200000000000000000000000000000000000000000000000000000000
χ954-4-4-4-4444-2-22222-2-2-22-2222-2-24-410000-1-1-11-111-22-2211-1-1000000003-3-333-3-330000000000000000000000000000000000000000
χ964-4-4-4-4444-2-22222-2-2-22-2222-2-24-410000-1-1-11-111-22-2211-1-100000000-333-3-333-30000000000000000000000000000000000000000
χ974-4-4-4-4444-2-22222-2-2-22-2222-2-2-4410000-1-1-11-1112-22-2-1-111000000003-3-33-333-30000000000000000000000000000000000000000
χ984-4-4-4-4444-2-22222-2-2-22-2222-2-2-4410000-1-1-11-1112-22-2-1-11100000000-333-33-3-330000000000000000000000000000000000000000
χ99888-8-88-8-8-4-4-4-4-44444444-44-4-4002000022-2-2-22-20000000000000000000000000000000000000000000000000000000000000000
χ10088-88-8-8-88-4-4-44-4-44-4-4-444444400200002-22-2-2-220000000000000000000000000000000000000000000000000000000000000000
χ1018-88-88-8-88-4-44-4444-4-444-4-4-4440020000-22-2-22-220000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8888-8-8-4-4444-4444-44-44-4-4-40020000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000

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