Finite Group Databasebeta

← Group #11864065

Character table — Group #11864065

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order122233444466666623666661212121212121212224444121212124466612121212121212122224466661212121212121212246666881212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111-1-1111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-1-1-1111111-1-111-1-111-1-1111111-1-1-1-1-1-1
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
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1
χ9111111-1-111111111-11-1-111111-1-1-1-1111111-1-111111-1-1-1-111-1-111-1-1-111-1-111-1-1-1-11-111-1-1-1111-1-11-111-1-111-1-111-1-11-1
χ10111111-1-111111111-11-1-111111-1-1-1-1111111-1-111111-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-11-111-1-1-11-1-1-1-1-111111-1-111-1-111-11
χ11111111-1-111111111-11-1-111111-1-1-1-1111111-1-11111-11-1-1-1-1-11111-1-1-111-1-111-1-1-1-1-11-1-1111-11111-11-1-1-1-1-1-11111-1-1-11
χ12111111-1-111111111-11-1-111111-1-1-1-1111111-1-11111-11-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-11-1-1111-1-1-1111-1-1-11111-1-1-1-1111-1
χ13111111-1-111111111-11-1-111111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-111-1-111-1-1111-1-1-1-111111-111-1-11-111111-1-1-1-1-111-1-1-1-111-11
χ14111111-1-111111111-11-1-111111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-111-1-111-1-11-1-111-1-111111-111-1-11-1-1-111-11-1-111-1-11111-1-11-1
χ15111111-1-111111111-11-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-11-1-1-1-1-11111-1-1111-1-1-1-11111-11-1-111-1111-1-1-1111-1-1-1-111-1-1111-1
χ16111111-1-111111111-11-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-11-1-1-1-1-11111-1-11-1-111-1-11111-11-1-111-11-1-1-1-11-1111111-1-111-1-1-11
χ1722222222-2-2222222-22-2-2222-2-22222-2-222-2-222-2-2-2-200-2-2-20000-2-222-2000022-2-2220000000000000000000000000000
χ1822222222-2-2222222-22-2-2222-2-22222-2-2-2-222-2-2222200-2-2-20000-2-22220000-2-222-2-20000000000000000000000000000
χ19222222-2-2-2-22222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2002220000-2-2-2-2200002222-2-20000000000000000000000000000
χ20222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-222222222002220000-2-2-2-2-20000-2-2-2-2220000000000000000000000000000
χ2122222-1222222-1-12-12-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-122-1-1-1-12200-1-100-1-1000000000000
χ2222222-1222222-1-12-12-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-2-22-1-11111-1-1-1-120000-1-1-1-1-1-1-2-21111-2-200110011000000000000
χ2322222-1222222-1-12-12-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-21111222-1-1-1-1-1-1-1-1-1-1-2000011111122-1-1-1-1-2-200110011000000000000
χ2422222-1222222-1-12-12-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-21111-2-22-1-11111-1-1-1-1-20000111111-2-211112200-1-100-1-1000000000000
χ2522222-122-2-222-1-12-1-2-111-1-1-11122-1-1-2-222-2-222111100-211−i3i3−i3i311-1-1-20000-1-111-1-100−i3i3−i3i30000−i3i300−i3i3000000000000
χ2622222-122-2-222-1-12-1-2-111-1-1-11122-1-1-2-222-2-222111100-211i3−i3i3−i311-1-1-20000-1-111-1-100i3−i3i3−i30000i3−i300i3−i3000000000000
χ2722222-122-2-222-1-12-1-2-111-1-1-11122-1-1-2-2-2-222-2-2-1-1-1-100-211−i3i3−i3i311-1-12000011-1-11100−i3i3−i3i30000i3−i300i3−i3000000000000
χ2822222-122-2-222-1-12-1-2-111-1-1-11122-1-1-2-2-2-222-2-2-1-1-1-100-211i3−i3i3−i311-1-12000011-1-11100i3−i3i3−i30000−i3i300−i3i3000000000000
χ2922222-1-2-22222-1-12-1-2-111-1-1-1-1-1-2-211222222-2-2-1-1-1-12-2-211-1-111-1-111-20000-1-111112-2-1-111-22001100-1-1000000000000
χ3022222-1-2-22222-1-12-1-2-111-1-1-1-1-1-2-211222222-2-2-1-1-1-1-22-21111-1-1-1-111-20000-1-11111-2211-1-12-200-1-10011000000000000
χ3122222-1-2-22222-1-12-1-2-111-1-1-1-1-1-2-21122-2-2-2-22211112-2-211-1-111-1-1112000011-1-1-1-12-2-1-1112-200-1-10011000000000000
χ3222222-1-2-22222-1-12-1-2-111-1-1-1-1-1-2-21122-2-2-2-2221111-22-21111-1-1-1-1112000011-1-1-1-1-2211-1-1-22001100-1-1000000000000
χ3322222-1-2-2-2-222-1-12-12-1-1-1-1-1-111-2-211-2-222-2-2-2-21111002-1-1−i3i3i3−i3111120000-1-1-1-11100−i3i3i3−i30000i3−i300−i3i3000000000000
χ3422222-1-2-2-2-222-1-12-12-1-1-1-1-1-111-2-211-2-222-2-2-2-21111002-1-1i3−i3−i3i3111120000-1-1-1-11100i3−i3−i3i30000−i3i300i3−i3000000000000
χ3522222-1-2-2-2-222-1-12-12-1-1-1-1-1-111-2-211-2-2-2-22222-1-1-1-1002-1-1−i3i3i3−i31111-200001111-1-100−i3i3i3−i30000−i3i300i3−i3000000000000
χ3622222-1-2-2-2-222-1-12-12-1-1-1-1-1-111-2-211-2-2-2-22222-1-1-1-1002-1-1i3−i3−i3i31111-200001111-1-100i3−i3−i3i30000i3−i300−i3i3000000000000
χ372222-122222-1-122-122-122-1-1-122-1-122-1-1000000000022-1-1-12222-1-1-1-102222000000-1-1-1-1-1-100-1-1002200-1-1-1-1-1-1000000
χ382222-122222-1-122-122-122-1-1-122-1-122-1-1000000000022-1-1-12222-1-1-1-10-2-2-2-2000000-1-1-1-1-1-1001100-2-200111111000000
χ392222-122222-1-122-122-122-1-1-122-1-122-1-10000000000-2-2-1-1-1-2-2-2-2-1-1-1-10222200000011111100-1-100-2-200-1-11111000000
χ402222-122222-1-122-122-122-1-1-122-1-122-1-10000000000-2-2-1-1-1-2-2-2-2-1-1-1-10-2-2-2-2000000111111001100220011-1-1-1-1000000
χ412222-12-2-222-1-122-12-2-1-2-2-1-1-12211-2-2-1-100000000002-211122-2-2-1-111022-2-2000000-11-1-11100-1-1002-20011-1-111000000
χ422222-12-2-222-1-122-12-2-1-2-2-1-1-12211-2-2-1-100000000002-211122-2-2-1-1110-2-222000000-11-1-111001100-2200-1-111-1-1000000
χ432222-12-2-222-1-122-12-2-1-2-2-1-1-12211-2-2-1-10000000000-22111-2-222-1-111022-2-20000001-111-1-100-1-100-22001111-1-1000000
χ442222-12-2-222-1-122-12-2-1-2-2-1-1-12211-2-2-1-10000000000-22111-2-222-1-1110-2-2220000001-111-1-10011002-200-1-1-1-111000000
χ452-2-2222002-2-2-2-2-2220200-2-222-200002-22-22-20022-2-20000000002-2000002-22-2000000000000000000002-20000002-200
χ462-2-2222002-2-2-2-2-2220200-2-222-200002-22-22-20022-2-20000000002-200000-222-200000000000000000000-22000000-2200
χ472-2-2222002-2-2-2-2-2220200-2-222-200002-2-22-2200-2-2220000000002-2000002-2-22000000000000000000002-2000000-2200
χ482-2-2222002-2-2-2-2-2220200-2-222-200002-2-22-2200-2-2220000000002-200000-22-2200000000000000000000-220000002-200
χ492-2-222200-22-2-2-2-2220200-2-22-220000-222-2-2200-2-222000000000-220002-2002-20000000000002-20000000000002-20000
χ502-2-222200-22-2-2-2-2220200-2-22-220000-222-2-2200-2-222000000000-22000-22002-2000000000000-22000000000000-220000
χ512-2-222200-22-2-2-2-2220200-2-22-220000-22-222-20022-2-2000000000-220002-200-220000000000002-2000000000000-220000
χ522-2-222200-22-2-2-2-2220200-2-22-220000-22-222-20022-2-2000000000-22000-2200-22000000000000-220000000000002-20000
χ534444-2444-4-4-2-244-24-4-2-4-4-2-2-2-4-4-2-24422000000000000222000022-2-2000000000000000000000000000000000000000
χ544444-24-4-4-4-4-2-244-244-244-2-2-2-4-422-4-422000000000000-2-2-200002222000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-2000000000044-211-2-2-2-2111100000000000-2-211110000000000000000000000
χ564444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-20000000000-4-4-211222211110000000000022-1-1-1-10000000000000000000000
χ574444-2-244-4-4-2-2-2-2-2-2-412211122-2-2-2-2220000000000002-1-1−2i32i3−2i32i3-1-1110000000000000i3−i3i3−i30000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-2-412211122-2-2-2-2220000000000002-1-12i3−2i32i3−2i3-1-1110000000000000−i3i3−i3i30000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-2-4122111-2-22222-2-200000000004-42-1-1-2-22211-1-100000000000-2211-1-10000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-2-4122111-2-22222-2-20000000000-442-1-122-2-211-1-1000000000002-2-1-1110000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-241-2-211122222222000000000000-211−2i32i32i3−2i3-1-1-1-10000000000000i3−i3−i3i30000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-241-2-211122222222000000000000-2112i3−2i3−2i32i3-1-1-1-10000000000000−i3i3i3−i30000000000000000000000
χ6344-4-4444i−4i00-444-4-4-40400-44-4004i−4i4i−4i000000000000000000000004i−4i000000000000000000000000000000000000000
χ6444-4-444−4i4i00-444-4-4-40400-44-400−4i4i−4i4i00000000000000000000000−4i4i000000000000000000000000000000000000000
χ6544-4-44-24i−4i00-44-22-420-2002-22004i−4i−2i2i0000000023−2323−2300000000000−2i2i0000000−2i32i3000000000000000000000000000000
χ6644-4-44-24i−4i00-44-22-420-2002-22004i−4i−2i2i00000000−2323−232300000000000−2i2i00000002i3−2i3000000000000000000000000000000
χ6744-4-44-2−4i4i00-44-22-420-2002-2200−4i4i2i−2i0000000023−2323−23000000000002i−2i00000002i3−2i3000000000000000000000000000000
χ6844-4-44-2−4i4i00-44-22-420-2002-2200−4i4i2i−2i00000000−2323−2323000000000002i−2i0000000−2i32i3000000000000000000000000000000
χ6944-4-4-244i−4i002-24-42-40-2002-2200−2i2i4i−4i00000000000000000000000−2i2i00000000000000000000000000000i6−i66−6000000
χ7044-4-4-244i−4i002-24-42-40-2002-2200−2i2i4i−4i00000000000000000000000−2i2i00000000000000000000000000000−i6i6−66000000
χ7144-4-4-24−4i4i002-24-42-40-2002-22002i−2i−4i4i000000000000000000000002i−2i00000000000000000000000000000i6−i6−66000000
χ7244-4-4-24−4i4i002-24-42-40-2002-22002i−2i−4i4i000000000000000000000002i−2i00000000000000000000000000000−i6i66−6000000
χ734-44-44400004-4-44-4-404004-4-40000000000004i−4i000000000000000000000000004i−4i0000000000000000000000000000
χ744-44-44400004-4-44-4-404004-4-4000000000000−4i4i00000000000000000000000000−4i4i0000000000000000000000000000
χ754-44-44-200004-42-2-420-2−2i32i3-2220000000000004i−4i23−23−2323000−2i32i300000000000000000−2i2i0000000000000000000000000000
χ764-44-44-200004-42-2-420-2−2i32i3-222000000000000−4i4i−232323−23000−2i32i3000000000000000002i−2i0000000000000000000000000000
χ774-44-44-200004-42-2-420-22i3−2i3-2220000000000004i−4i−232323−230002i3−2i300000000000000000−2i2i0000000000000000000000000000
χ784-44-44-200004-42-2-420-22i3−2i3-222000000000000−4i4i23−23−23230002i3−2i3000000000000000002i−2i0000000000000000000000000000
χ794-4-444-2004-4-4-4224-20-20022-2-2200004-44-44-400-2-222000000000-220000000-2200000000000000000000000000000000
χ804-4-444-2004-4-4-4224-20-20022-2-2200004-4-44-440022-2-2000000000-2200000002-200000000000000000000000000000000
χ814-4-444-200-44-4-4224-20-20022-22-20000-444-4-440022-2-20000000002-20000000-2200000000000000000000000000000000
χ824-4-444-200-44-4-4224-20-20022-22-20000-44-444-400-2-2220000000002-200000002-200000000000000000000000000000000
χ834-4-44-24004-422-4-4-240-20022-24-40000-220000000000000000000-22000004-40000000000000000000000-220000000000
χ844-4-44-24004-422-4-4-240-20022-24-40000-220000000000000000000-2200000-4400000000000000000000002-20000000000
χ854-4-44-2400-4422-4-4-240-20022-2-4400002-200000000000000000002-20004-40000000000000000-22000000000000000000
χ864-4-44-2400-4422-4-4-240-20022-2-4400002-200000000000000000002-2000-4400000000000000002-2000000000000000000
χ8788-8-8-4-48i−8i004-4-44440200-22-200−4i4i−4i4i000000000000000000000002i−2i000000000000000000000000000000000000000
χ8888-8-8-4-4−8i8i004-4-44440200-22-2004i−4i4i−4i00000000000000000000000−2i2i000000000000000000000000000000000000000
χ898-88-8-480000-44-884-80-400-4440000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-40000-444-44402−4i34i32-2-20000000000000000000002i3−2i300000000000000000000000000000000000000000000000
χ918-88-8-4-40000-444-444024i3−4i32-2-2000000000000000000000−2i32i300000000000000000000000000000000000000000000000
χ928-8-88-4-4008-84444-4-40200-2-22-440000-4400000000000000000002-200000000000000000000000000000000000000000
χ938-8-88-4-400-884444-4-40200-2-224-400004-40000000000000000000-2200000000000000000000000000000000000000000

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