Finite Group Databasebeta

← Group #11817821

Character table — Group #11817821

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121818181818181818242424242424242424242424242424242424242436363636
order122222223366666666666666344444466666661212121212121212121212121212121212121212121212122244444444444444244466661212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-11111-1-111-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11111-1-1-1-1-1-1-1-1111111-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-111111111-1-1-1-111-1-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-111-1-1-1-11111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-111111111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-11111-1-1-1-1-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111-1-111-1-111-1-111
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-11111-1-111-1-111-1-1-1-111
χ17222222222-1222-1-1-12-122-1-12-1-1222222-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000200200-1-10000-1-1-1-100-1-10000
χ18222222222-1222-1-1-12-122-1-12-1-1222222-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200000000-200-200110000111100110000
χ19222222222-1222-1-1-12-122-1-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-2-211-2-211-1-1-1-111111111002200-2-200000000200-200-1-10000111100-1-10000
χ20222222222-1222-1-1-12-122-1-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-2-211-2-211-1-1-1-11111111100-2-2002200000000-200200110000-1-1-1-100110000
χ21222222222-1222-1-1-12-122-1-12-1-1-2-222-2-2-1-1-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-111110022002200000000-200-200110000-1-11100-1-10000
χ22222222222-1222-1-1-12-122-1-12-1-1-2-222-2-2-1-1-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-1111100-2-200-2-200000000200200-1-1000011-1-100110000
χ23222222222-1222-1-1-12-122-1-12-1-1-2-2-2-222-1-1-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-1002200-2-200000000-20020011000011-1-100-1-10000
χ24222222222-1222-1-1-12-122-1-12-1-1-2-2-2-222-1-1-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-100-2-2002200000000200-200-1-10000-1-11100110000
χ2522222222-12-1-1-1222-12-1-122-12-1222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122002200000000000220-1-100-1-1-1-10000-1-1000000
χ2622222222-12-1-1-1222-12-1-122-12-1222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200000000000-2-2011001111000011000000
χ2722222222-12-1-1-1222-12-1-122-12-122-2-2-2-2-1-1-1-1-1-1-1-1-12211-2-211-2-2-1-1-1-1111111112200-2-200000000000-220-1-10011110000-1-1000000
χ2822222222-12-1-1-1222-12-1-122-12-122-2-2-2-2-1-1-1-1-1-1-1-1-12211-2-211-2-2-1-1-1-111111111-2-20022000000000002-201100-1-1-1-1000011000000
χ2922222222-12-1-1-1222-12-1-122-12-1-2-222-2-2-1-1-1-1-1-1-111-2-2-1-12211-2-21111-1-1-1-1111122002200000000000-2-20-1-100-1-111000011000000
χ3022222222-12-1-1-1222-12-1-122-12-1-2-222-2-2-1-1-1-1-1-1-111-2-2-1-12211-2-21111-1-1-1-11111-2-200-2-200000000000220110011-1-10000-1-1000000
χ3122222222-12-1-1-1222-12-1-122-12-1-2-2-2-222-1-1-1-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-12200-2-2000000000002-20-1-10011-1-1000011000000
χ3222222222-12-1-1-1222-12-1-122-12-1-2-2-2-222-1-1-1-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-1-2-2002200000000000-2201100-1-1110000-1-1000000
χ33222-22-2-2-2222-2-22-2-222-2-2-2-22222-200002-2-2-2-2222-22-20000000022-2-2000000000000000000002i2i−2i−2i00000000000000000000002i−2i
χ34222-22-2-2-2222-2-22-2-222-2-2-2-22222-200002-2-2-2-2222-22-20000000022-2-200000000000000000000−2i−2i2i2i0000000000000000000000−2i2i
χ35222-22-2-2-2222-2-22-2-222-2-2-2-2222-2200002-2-2-2-222-22-2200000000-2-222000000000000000000002i2i−2i−2i0000000000000000000000−2i2i
χ36222-22-2-2-2222-2-22-2-222-2-2-2-2222-2200002-2-2-2-222-22-2200000000-2-22200000000000000000000−2i−2i2i2i00000000000000000000002i−2i
χ3722-2-2-22-22222222-2-2-2-2-2-222-2-22000000222-2-2-2-20000000000000000000000002-22i−2i00002i2i−2i−2i000000002-20000000000002i−2i0000
χ3822-2-2-22-22222222-2-2-2-2-2-222-2-22000000222-2-2-2-20000000000000000000000002-2−2i2i0000−2i−2i2i2i000000002-2000000000000−2i2i0000
χ3922-2-2-22-22222222-2-2-2-2-2-222-2-22000000222-2-2-2-2000000000000000000000000-222i−2i0000−2i−2i2i2i00000000-220000000000002i−2i0000
χ4022-2-2-22-22222222-2-2-2-2-2-222-2-22000000222-2-2-2-2000000000000000000000000-22−2i2i00002i2i−2i−2i00000000-22000000000000−2i2i0000
χ412-222-2-2-2222-22-2-22-2222-22-2-2-22002i−2i00-22-22-22-200002i−2i2i−2i000000002i2i−2i−2i0000000000002i−2i2i−2i2-22-2000000000000000000000000
χ422-222-2-2-2222-22-2-22-2222-22-2-2-22002i−2i00-22-22-22-200002i−2i2i−2i000000002i2i−2i−2i000000000000−2i2i−2i2i-22-22000000000000000000000000
χ432-222-2-2-2222-22-2-22-2222-22-2-2-2200−2i2i00-22-22-22-20000−2i2i−2i2i00000000−2i−2i2i2i0000000000002i−2i2i−2i-22-22000000000000000000000000
χ442-222-2-2-2222-22-2-22-2222-22-2-2-2200−2i2i00-22-22-22-20000−2i2i−2i2i00000000−2i−2i2i2i000000000000−2i2i−2i2i2-22-2000000000000000000000000
χ452-22-2-222-222-2-22-2-2222-22-22-2-2200002i−2i-2-22-222-2000000002i−2i2i−2i000000002i2i−2i−2i0000000000002i−2i−2i2i000000000000000000002-200
χ462-22-2-222-222-2-22-2-2222-22-22-2-2200002i−2i-2-22-222-2000000002i−2i2i−2i000000002i2i−2i−2i000000000000−2i2i2i−2i00000000000000000000-2200
χ472-22-2-222-222-2-22-2-2222-22-22-2-220000−2i2i-2-22-222-200000000−2i2i−2i2i00000000−2i−2i2i2i0000000000002i−2i−2i2i00000000000000000000-2200
χ482-22-2-222-222-2-22-2-2222-22-22-2-220000−2i2i-2-22-222-200000000−2i2i−2i2i00000000−2i−2i2i2i000000000000−2i2i2i−2i000000000000000000002-200
χ492-2-2-22-22222-22-2-2-22-2-2-222-2222000000-22-2-22-2200000000000000000000000000002-22-22-2-220000000000002-2002-20000000000
χ502-2-2-22-22222-22-2-2-22-2-2-222-2222000000-22-2-22-2200000000000000000000000000002-2-22-222-20000000000002-200-220000000000
χ512-2-2-22-22222-22-2-2-22-2-2-222-2222000000-22-2-22-220000000000000000000000000000-222-2-222-2000000000000-22002-20000000000
χ522-2-2-22-22222-22-2-2-22-2-2-222-2222000000-22-2-22-220000000000000000000000000000-22-222-2-22000000000000-2200-220000000000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444441111111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4-4-41111111-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444-4-411111112222-2-2-2-22222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-444111111122222222-2-2-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000
χ57444-44-4-4-44-24-4-4-2224-2-4-4224-2-24-40000-22222-2-24-4-2200000000-2-222000000000000000000000000000000000000000000000000
χ58444-44-4-4-44-24-4-4-2224-2-4-4224-2-2-440000-22222-2-2-442-20000000022-2-2000000000000000000000000000000000000000000000000
χ59444-44-4-4-4-24-2224-4-4-2422-4-4-24-24-40000-22222-2-2-224-400000000-2-222000000000000000000000000000000000000000000000000
χ60444-44-4-4-4-24-2224-4-4-2422-4-4-24-2-440000-22222-2-22-2-440000000022-2-2000000000000000000000000000000000000000000000000
χ61444-44-4-4-4-2-2-222-222-2-22222-2-214-400001-1-1-1-111-22-220000000011-1-13-33-33-33-30000000000000000000000000000000000000000
χ62444-44-4-4-4-2-2-222-222-2-22222-2-214-400001-1-1-1-111-22-220000000011-1-1-33-33-33-330000000000000000000000000000000000000000
χ63444-44-4-4-4-2-2-222-222-2-22222-2-21-4400001-1-1-1-1112-22-200000000-1-1113-33-3-33-330000000000000000000000000000000000000000
χ64444-44-4-4-4-2-2-222-222-2-22222-2-21-4400001-1-1-1-1112-22-200000000-1-111-33-333-33-30000000000000000000000000000000000000000
χ6544-44-4-44-4444-4-4444-4-444-4-4-4-440000004-4-444-4-40000000000000000000000000000000000000000000000000000000000000000
χ6644-44-4-44-44-24-4-4-2-2-2-424422-42-2000000-222-2-2220000000000000000000000000000000000000000000000−2i32i30000000000000000
χ6744-44-4-44-44-24-4-4-2-2-2-424422-42-2000000-222-2-22200000000000000000000000000000000000000000000002i3−2i30000000000000000
χ6844-44-4-44-4-24-2224442-4-2-2-4-42-4-2000000-222-2-2220000000000000000000000000000000000000000000000000000000023−23000000
χ6944-44-4-44-4-24-2224442-4-2-2-4-42-4-2000000-222-2-22200000000000000000000000000000000000000000000000000000000−2323000000
χ7044-4-4-44-444-2444-222-42-4-4-2-2-42-2000000-2-2-22222000000000000000000000000004i−4i000000000000000000000000000000−2i2i0000
χ7144-4-4-44-444-2444-222-42-4-4-2-2-42-2000000-2-2-2222200000000000000000000000000−4i4i0000000000000000000000000000002i−2i0000
χ7244-4-4-44-44-24-2-2-24-4-42-422442-4-2000000-2-2-222220000000000000000000000004-4000000000000000000-22000000000000000000
χ7344-4-4-44-44-24-2-2-24-4-42-422442-4-2000000-2-2-22222000000000000000000000000-440000000000000000002-2000000000000000000
χ744-444-4-4-444-2-44-42-224-24-4-22-42-2004i−4i002-22-22-2200004i−4i−2i2i00000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ754-444-4-4-444-2-44-42-224-24-4-22-42-200−4i4i002-22-22-220000−4i4i2i−2i000000002i2i−2i−2i00000000000000000000000000000000000000000000
χ764-444-4-4-44-242-22-44-4-24-224-42-4-2004i−4i002-22-22-220000−2i2i4i−4i00000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ774-444-4-4-44-242-22-44-4-24-224-42-4-200−4i4i002-22-22-2200002i−2i−4i4i000000002i2i−2i−2i00000000000000000000000000000000000000000000
χ784-444-4-4-44-2-22-222-22-2-2-22-22221004i−4i00-11-11-11-10000−2i2i−2i2i00003-33-3ii−i−i3i−3i−3i3i0000000000000000000000000000000000000000
χ794-444-4-4-44-2-22-222-22-2-2-22-22221004i−4i00-11-11-11-10000−2i2i−2i2i0000-33-33ii−i−i−3i3i3i−3i0000000000000000000000000000000000000000
χ804-444-4-4-44-2-22-222-22-2-2-22-2222100−4i4i00-11-11-11-100002i−2i2i−2i00003-33-3−i−iii−3i3i3i−3i0000000000000000000000000000000000000000
χ814-444-4-4-44-2-22-222-22-2-2-22-2222100−4i4i00-11-11-11-100002i−2i2i−2i0000-33-33−i−iii3i−3i−3i3i0000000000000000000000000000000000000000
χ824-44-4-444-44-2-4-4422-24-2-442-2-42-200004i−4i22-22-2-22000000004i−4i−2i2i00000000−2i−2i2i2i0000000000000000000000000000000000000000
χ834-44-4-444-44-2-4-4422-24-2-442-2-42-20000−4i4i22-22-2-2200000000−4i4i2i−2i000000002i2i−2i−2i0000000000000000000000000000000000000000
χ844-44-4-444-4-2422-2-4-44-242-2-442-4-200004i−4i22-22-2-2200000000−2i2i4i−4i00000000−2i−2i2i2i0000000000000000000000000000000000000000
χ854-44-4-444-4-2422-2-4-44-242-2-442-4-20000−4i4i22-22-2-22000000002i−2i−4i4i000000002i2i−2i−2i0000000000000000000000000000000000000000
χ864-44-4-444-4-2-222-222-2-2-22-22-222100004i−4i-1-11-111-100000000−2i2i−2i2i3-3-333i−3i−3i3iii−i−i0000000000000000000000000000000000000000
χ874-44-4-444-4-2-222-222-2-2-22-22-222100004i−4i-1-11-111-100000000−2i2i−2i2i-333-3−3i3i3i−3iii−i−i0000000000000000000000000000000000000000
χ884-44-4-444-4-2-222-222-2-2-22-22-22210000−4i4i-1-11-111-1000000002i−2i2i−2i3-3-33−3i3i3i−3i−i−iii0000000000000000000000000000000000000000
χ894-44-4-444-4-2-222-222-2-2-22-22-22210000−4i4i-1-11-111-1000000002i−2i2i−2i-333-33i−3i−3i3i−i−iii0000000000000000000000000000000000000000
χ904-4-4444-4-444-4-44-44-4-4-44-4-44444000000-4-444-4-440000000000000000000000000000000000000000000000000000000000000000
χ914-4-4444-4-44-2-4-442-22-424-42-24-2-200000022-2-222-2000000000000000000000000000000000000000000000000000000−2i32i300000000
χ924-4-4444-4-44-2-4-442-22-424-42-24-2-200000022-2-222-20000000000000000000000000000000000000000000000000000002i3−2i300000000
χ934-4-4444-4-4-2422-2-44-42-4-22-44-24-200000022-2-222-200000000000000000000000000000000000000000000000000−2i32i3000000000000
χ944-4-4444-4-4-2422-2-44-42-4-22-44-24-200000022-2-222-2000000000000000000000000000000000000000000000000002i3−2i3000000000000
χ954-4-4-44-4444-2-44-422-2-42-44-224-2-20000002-222-22-20000000000000000000000000000004-400000000000000000000-220000000000
χ964-4-4-44-4444-2-44-422-2-42-44-224-2-20000002-222-22-2000000000000000000000000000000-44000000000000000000002-20000000000
χ974-4-4-44-444-242-22-4-442-42-24-4-24-20000002-222-22-200000000000000000000000000004-4000000000000000000-2200000000000000
χ984-4-4-44-444-242-22-4-442-42-24-4-24-20000002-222-22-20000000000000000000000000000-440000000000000000002-200000000000000
χ9988-88-8-88-8-4-4-444-4-4-444-4-4444420000002-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-88-88-4-4-4-4-4-4444444-4-4442000000222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8888-8-8-4-444-44-4444-444-4-4-42000000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-88-888-4-44-4444-4444-4-44-4-42000000-22-2-22-220000000000000000000000000000000000000000000000000000000000000000

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