Finite Group Databasebeta

← Group #11864159

Character table — Group #11864159

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order12223344446666662366666121212121212121222224466662466666121212121212224446612121212666121212246666881212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111-1-11-1-111-1-11111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-111-1-1-1-1-1-1111111-1-111-1-111-1-1111111-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1
χ9111111-1-111111111-11-1-111111-1-1-1-11111-1-11111111-1-111-1-1-1-111-1-111-1-1-1-1-111-1-1111-1-1-11-111111-1-1-1-1-111-1-1-1-1111-1
χ10111111-1-111111111-11-1-111111-1-1-1-11111-1-11111111-1-111-1-1-1-111-1-1-1-1-111-1-111-1-1111-1-1-11-1-1-111-11-1-111-1-11111-1-1-11
χ11111111-1-111111111-11-1-111111-1-1-1-11111-1-1111111-11-1-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-1-1111-1111-1-1-1111-1-1-1-111-1-111-11
χ12111111-1-111111111-11-1-111111-1-1-1-11111-1-1111111-11-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-1-1111-11-1-1-1-11-1111111-1-111-1-11-1
χ13111111-1-111111111-11-1-111111-1-1-1-111-1-111-1-1-1-1-1-11-1-111-1-1-1-111-1-1111-1-111-1-111111-1-1-1-1111-1-11-111-1-111-1-111-1-1-11
χ14111111-1-111111111-11-1-111111-1-1-1-111-1-111-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-111111-1-111111-1-1-1-11-1-1-1-1-111111-1-111-1-1111-1
χ15111111-1-111111111-11-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1-11111-1-1111-1-111-1-111-1-1-11111-11111-11-1-1-1-1-1-11111-1-11-1
χ16111111-1-111111111-11-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-111111-1-111-1-1-11111-1-1-1111-1-1-11111-1-1-1-111-11
χ1722222222-2-2222222-22-2-2222-2-22222-2-222-2-2-2-2222200-200-2-200-2-22200200-2-2-2-2220000000000000000000000000000
χ1822222222-2-2222222-22-2-2222-2-22222-2-2-2-22222-2-2-2-200-200-2-200-2-22200-2002222-2-20000000000000000000000000000
χ19222222-2-2-2-22222222222222-2-2-2-2-2-2-2-22222-2-22222002002200-2-2-2-200-20022-2-2-2-20000000000000000000000000000
χ20222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2002002200-2-2-2-200200-2-222220000000000000000000000000000
χ2122222-122222-122-1-12-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-100200-1-1-1-1-1-12-1-12-1-12200-1-100-1-1000000000000
χ2222222-122222-122-1-12-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-2-2211-1-111-1-1-1-100200-1-1-1-1-1-1-211-211-2-200110011000000000000
χ2322222-122222-122-1-12-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-21111222-1-1-1-1-1-1-1-1-1-100-2001111112-1-12-1-1-2-200110011000000000000
χ2422222-122222-122-1-12-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-21111-2-2211-1-111-1-1-1-100-200111111-211-2112200-1-100-1-1000000000000
χ2522222-122-2-22-122-1-1-2-111-1-1-11122-1-1-2-222-2-2-2-2-1-1-1-100-2−i3i311−i3i311-1-1002001111-1-10−i3i30−i3i30000−i3i300−i3i3000000000000
χ2622222-122-2-22-122-1-1-2-111-1-1-11122-1-1-2-222-2-2-2-2-1-1-1-100-2i3−i311i3−i311-1-1002001111-1-10i3−i30i3−i30000i3−i300i3−i3000000000000
χ2722222-122-2-22-122-1-1-2-111-1-1-11122-1-1-2-2-2-22222111100-2−i3i311−i3i311-1-100-200-1-1-1-1110−i3i30−i3i30000i3−i300i3−i3000000000000
χ2822222-122-2-22-122-1-1-2-111-1-1-11122-1-1-2-2-2-22222111100-2i3−i311i3−i311-1-100-200-1-1-1-1110i3−i30i3−i30000−i3i300−i3i3000000000000
χ2922222-1-2-2222-122-1-1-2-111-1-1-1-1-1-2-2112222-2-222-1-1-1-12-2-2-1-11111-1-11100-20011-1-1112-1-1-2112-200-1-10011000000000000
χ3022222-1-2-2222-122-1-1-2-111-1-1-1-1-1-2-2112222-2-222-1-1-1-1-22-21111-1-1-1-11100-20011-1-111-2112-1-1-22001100-1-1000000000000
χ3122222-1-2-2222-122-1-1-2-111-1-1-1-1-1-2-21122-2-222-2-211112-2-2-1-11111-1-11100200-1-111-1-12-1-1-211-22001100-1-1000000000000
χ3222222-1-2-2222-122-1-1-2-111-1-1-1-1-1-2-21122-2-222-2-21111-22-21111-1-1-1-11100200-1-111-1-1-2112-1-12-200-1-10011000000000000
χ3322222-1-2-2-2-22-122-1-12-1-1-1-1-1-111-2-211-2-22222-2-2-1-1-1-1002−i3i3-1-1i3−i3111100-200-1-111110−i3i30i3−i30000−i3i300i3−i3000000000000
χ3422222-1-2-2-2-22-122-1-12-1-1-1-1-1-111-2-211-2-22222-2-2-1-1-1-1002i3−i3-1-1−i3i3111100-200-1-111110i3−i30−i3i30000i3−i300−i3i3000000000000
χ3522222-1-2-2-2-22-122-1-12-1-1-1-1-1-111-2-211-2-2-2-2-2-2221111002−i3i3-1-1i3−i311110020011-1-1-1-10−i3i30i3−i30000i3−i300−i3i3000000000000
χ3622222-1-2-2-2-22-122-1-12-1-1-1-1-1-111-2-211-2-2-2-2-2-2221111002i3−i3-1-1−i3i311110020011-1-1-1-10i3−i30−i3i30000−i3i300i3−i3000000000000
χ372222-122222-12-1-1222-122-1-1-122-1-122-1-1000000000022-122-1-122-1-1-1-122022000000-1-1-1-1-1-100-1-1002200-1-1-1-1-1-1000000
χ382222-122222-12-1-1222-122-1-1-122-1-122-1-1000000000022-122-1-122-1-1-1-1-2-20-2-2000000-1-1-1-1-1-1001100-2-200111111000000
χ392222-122222-12-1-1222-122-1-1-122-1-122-1-10000000000-2-2-1-2-2-1-1-2-2-1-1-1-12202200000011111100-1-100-2-200-1-11111000000
χ402222-122222-12-1-1222-122-1-1-122-1-122-1-10000000000-2-2-1-2-2-1-1-2-2-1-1-1-1-2-20-2-2000000111111001100220011-1-1-1-1000000
χ412222-12-2-222-12-1-122-2-1-2-2-1-1-12211-2-2-1-100000000002-212211-2-2-1-111220-2-2000000-1-1-111100-1-1002-20011-1-111000000
χ422222-12-2-222-12-1-122-2-1-2-2-1-1-12211-2-2-1-100000000002-212211-2-2-1-111-2-2022000000-1-1-1111001100-2200-1-111-1-1000000
χ432222-12-2-222-12-1-122-2-1-2-2-1-1-12211-2-2-1-10000000000-221-2-21122-1-111220-2-2000000111-1-1-100-1-100-22001111-1-1000000
χ442222-12-2-222-12-1-122-2-1-2-2-1-1-12211-2-2-1-10000000000-221-2-21122-1-111-2-2022000000111-1-1-10011002-200-1-1-1-111000000
χ452-2-2222002-2-2-2-222-20200-22-22-200002-22-2002-222-2-20000000002-2000002-2002-20000000000000000002-200002-20000
χ462-2-2222002-2-2-2-222-20200-22-22-200002-22-2002-222-2-20000000002-200000-22002-2000000000000000000-220000-220000
χ472-2-2222002-2-2-2-222-20200-22-22-200002-2-2200-22-2-2220000000002-2000002-200-220000000000000000002-20000-220000
χ482-2-2222002-2-2-2-222-20200-22-22-200002-2-2200-22-2-2220000000002-200000-2200-22000000000000000000-2200002-20000
χ492-2-222200-22-2-2-222-20200-22-2-220000-222-200-2222-2-2000000000-22002-200000-2200000000002-2000000000000002-200
χ502-2-222200-22-2-2-222-20200-22-2-220000-222-200-2222-2-2000000000-2200-2200000-220000000000-2200000000000000-2200
χ512-2-222200-22-2-2-222-20200-22-2-220000-22-22002-2-2-222000000000-22002-2000002-200000000002-200000000000000-2200
χ522-2-222200-22-2-2-222-20200-22-2-220000-22-22002-2-2-222000000000-2200-22000002-20000000000-22000000000000002-200
χ534444-2444-4-4-24-2-244-4-2-4-4-2-2-2-4-4-2-24422000000000000200220022-2-2000000000000000000000000000000000000000
χ544444-24-4-4-4-4-24-2-2444-244-2-2-2-4-422-4-422000000000000-200-2-2002222000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-2000000000044-2-2-211-2-2111100000000000-211-2110000000000000000000000
χ564444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-20000000000-4-4-22211221111000000000002-1-12-1-10000000000000000000000
χ574444-2-244-4-4-2-2-2-2-2-2-412211122-2-2-2-2220000000000002−2i32i3-1-1−2i32i3-1-111000000000000i3−i30i3−i30000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-2-412211122-2-2-2-22200000000000022i3−2i3-1-12i3−2i3-1-111000000000000−i3i30−i3i30000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-2-4122111-2-22222-2-200000000004-42-2-2-1-12211-1-100000000000-2112-1-10000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-2-4122111-2-22222-2-20000000000-44222-1-1-2-211-1-1000000000002-1-1-2110000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-241-2-211122222222000000000000-2−2i32i3112i3−2i3-1-1-1-1000000000000i3−i30−i3i30000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-241-2-211122222222000000000000-22i3−2i311−2i32i3-1-1-1-1000000000000−i3i30i3−i30000000000000000000000
χ6344-4-4444i−4i0044-4-4-4-404004-4-4004i−4i4i−4i000000000000000000000004i−4i000000000000000000000000000000000000000
χ6444-4-444−4i4i0044-4-4-4-404004-4-400−4i4i−4i4i00000000000000000000000−4i4i000000000000000000000000000000000000000
χ6544-4-44-24i−4i004-2-4-4220-200-222004i−4i−2i2i00000000−2i32i3−2i32i300000000000−2i2i00000000023−230000000000000000000000000000
χ6644-4-44-24i−4i004-2-4-4220-200-222004i−4i−2i2i000000002i3−2i32i3−2i300000000000−2i2i000000000−23230000000000000000000000000000
χ6744-4-44-2−4i4i004-2-4-4220-200-22200−4i4i2i−2i00000000−2i32i3−2i32i3000000000002i−2i000000000−23230000000000000000000000000000
χ6844-4-44-2−4i4i004-2-4-4220-200-22200−4i4i2i−2i000000002i3−2i32i3−2i3000000000002i−2i00000000023−230000000000000000000000000000
χ6944-4-4-244i−4i00-2422-4-40-200-22200−2i2i4i−4i00000000000000000000000−2i2i00000000000000000000000000000i6−i66−6000000
χ7044-4-4-244i−4i00-2422-4-40-200-22200−2i2i4i−4i00000000000000000000000−2i2i00000000000000000000000000000−i6i6−66000000
χ7144-4-4-24−4i4i00-2422-4-40-200-222002i−2i−4i4i000000000000000000000002i−2i00000000000000000000000000000i6−i6−66000000
χ7244-4-4-24−4i4i00-2422-4-40-200-222002i−2i−4i4i000000000000000000000002i−2i00000000000000000000000000000−i6i66−6000000
χ734-44-4440000-4-44-4-440400-4-4400000000004-40000000000000000000000004-400000000000000000000000000000000
χ744-44-4440000-4-44-4-440400-4-440000000000-44000000000000000000000000-4400000000000000000000000000000000
χ754-44-44-20000-424-42-20-2−2i32i322-200000000004-400−2i32i32i3−2i300000−2i32i300000000000-2200000000000000000000000000000000
χ764-44-44-20000-424-42-20-2−2i32i322-20000000000-44002i3−2i3−2i32i300000−2i32i3000000000002-200000000000000000000000000000000
χ774-44-44-20000-424-42-20-22i3−2i322-200000000004-4002i3−2i3−2i32i3000002i3−2i300000000000-2200000000000000000000000000000000
χ784-44-44-20000-424-42-20-22i3−2i322-20000000000-4400−2i32i32i3−2i3000002i3−2i3000000000002-200000000000000000000000000000000
χ794-4-444-2004-4-42-44-220-2002-22-2200004-44-4004-4-2-222000000000-22000000000-22000000000000000000000000000000
χ804-4-444-2004-4-42-44-220-2002-22-2200004-4-4400-4422-2-2000000000-220000000002-2000000000000000000000000000000
χ814-4-444-200-44-42-44-220-2002-222-20000-444-400-44-2-2220000000002-20000000002-2000000000000000000000000000000
χ824-4-444-200-44-42-44-220-2002-222-20000-44-44004-422-2-20000000002-2000000000-22000000000000000000000000000000
χ834-4-44-24004-42-42-24-40-2002-224-40000-220000000000000000000-22000004-40000000000000000000000-220000000000
χ844-4-44-24004-42-42-24-40-2002-224-40000-220000000000000000000-2200000-4400000000000000000000002-20000000000
χ854-4-44-2400-442-42-24-40-2002-22-4400002-200000000000000000002-2004-400000000000000000-22000000000000000000
χ864-4-44-2400-442-42-24-40-2002-22-4400002-200000000000000000002-200-44000000000000000002-2000000000000000000
χ8788-8-8-4-48i−8i00-4-4444402002-2-200−4i4i−4i4i000000000000000000000002i−2i000000000000000000000000000000000000000
χ8888-8-8-4-4−8i8i00-4-4444402002-2-2004i−4i4i−4i00000000000000000000000−2i2i000000000000000000000000000000000000000
χ898-88-8-4800004-8-44-880-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-4000044-444-402−4i34i3-2-22000000000000000000000002i3−2i3000000000000000000000000000000000000000000000
χ918-88-8-4-4000044-444-4024i3−4i3-2-2200000000000000000000000−2i32i3000000000000000000000000000000000000000000000
χ928-8-88-4-4008-8444-4-440200-22-2-440000-4400000000000000000002-200000000000000000000000000000000000000000
χ938-8-88-4-400-88444-4-440200-22-24-400004-40000000000000000000-2200000000000000000000000000000000000000000

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