Finite Group Databasebeta

← Group #11864229

Character table — Group #11864229

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order122233444466666623666661212121212121212222244666644666121212121212121222444661212121212121212121244668812121212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11-1-111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111-1-1111-1-1-1-11111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-111-1-1-1-1-1-1111111-1-11111-1-111-1-11111-1-1-1-1-1-1
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
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111-1-1
χ9111111-1-111111111-11-1-1111-1-111-1-11111-1-11111111-1-1-1-111-1-111-1-111-1-1-1-1-111-1-11-111-1-11-1111-111-1-1-1-111-1-1-1-1111-1
χ10111111-1-111111111-11-1-1111-1-111-1-11111-1-11111111-1-1-1-111-1-111-1-1-1-1-111-1-111-1-11-111-1-11-1-1-1-111111-1-1-1-11111-1-1-11
χ11111111-1-111111111-11-1-1111-1-111-1-11111-1-1111111-11-1-1-1-1-11111-1-111-1-1-1-1-111-1-1-11-1-111-1111-11-1-1-1-111-1-111-1-111-11
χ12111111-1-111111111-11-1-1111-1-111-1-11111-1-1111111-11-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-11-1-111-11-1-11-1-1-1111111-1-111-1-11-1
χ13111111-1-111111111-11-1-1111-1-111-1-111-1-111-1-1-1-1-1-11-1-1-1-111-1-111-1-1111-1-111-1-1111-111-1-1-11111-1-1-1-1-11111-1-111-1-1-11
χ14111111-1-111111111-11-1-1111-1-111-1-111-1-111-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-111111-1-1111-111-1-1-11-1-1-11-1-11111-1-111-1-1111-1
χ15111111-1-111111111-11-1-1111-1-111-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1-11111-1-1111-1-111-1-111-11-1-1111-111-1111-1-1-1-1-1-11111-1-11-1
χ16111111-1-111111111-11-1-1111-1-111-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-111111-1-111-11-1-1111-1-1-11-11111-1-111-1-1-1-111-11
χ1722222222-2-2222222-22-2-222222-2-222-2-222-2-2-2-2222200-2-2-20000-2-22200200-2-2-2-2220000000000000000000000000000
χ1822222222-2-2222222-22-2-222222-2-222-2-2-2-22222-2-2-2-200-2-2-20000-2-22200-2002222-2-20000000000000000000000000000
χ19222222-2-2-2-22222222222222-2-2-2-2-2-2-2-22222-2-22222002220000-2-2-2-200-20022-2-2-2-20000000000000000000000000000
χ20222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2002220000-2-2-2-200200-2-222220000000000000000000000000000
χ2122222-122222-12-12-12-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-100200-1-1-1-1-1-122-1-1-1-1220000-1-100-1-10000000000
χ2222222-122222-12-12-12-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-2-22-1-11111-1-1-1-100200-1-1-1-1-1-1-2-21111-2-200001100110000000000
χ2322222-122222-12-12-12-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-21111222-1-1-1-1-1-1-1-1-1-100-20011111122-1-1-1-1-2-200001100110000000000
χ2422222-122222-12-12-12-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-21111-2-22-1-11111-1-1-1-100-200111111-2-21111220000-1-100-1-10000000000
χ2522222-122-2-22-12-12-1-2-111-1-1-12211-1-1-2-222-2-2-2-2-1-1-1-100-211−i3i3−i3i311-1-1002001111-1-100−i3i3−i3i3000000−i3i300−i3i30000000000
χ2622222-122-2-22-12-12-1-2-111-1-1-12211-1-1-2-222-2-2-2-2-1-1-1-100-211i3−i3i3−i311-1-1002001111-1-100i3−i3i3−i3000000i3−i300i3−i30000000000
χ2722222-122-2-22-12-12-1-2-111-1-1-12211-1-1-2-2-2-22222111100-211−i3i3−i3i311-1-100-200-1-1-1-11100−i3i3−i3i3000000i3−i300i3−i30000000000
χ2822222-122-2-22-12-12-1-2-111-1-1-12211-1-1-2-2-2-22222111100-211i3−i3i3−i311-1-100-200-1-1-1-11100i3−i3i3−i3000000−i3i300−i3i30000000000
χ2922222-1-2-2222-12-12-1-2-111-1-1-1-2-2-1-1112222-2-222-1-1-1-12-2-211-1-111-1-11100-20011-1-1112-2-1-1112-20000-1-100110000000000
χ3022222-1-2-2222-12-12-1-2-111-1-1-1-2-2-1-1112222-2-222-1-1-1-1-22-21111-1-1-1-11100-20011-1-111-2211-1-1-2200001100-1-10000000000
χ3122222-1-2-2222-12-12-1-2-111-1-1-1-2-2-1-11122-2-222-2-211112-2-211-1-111-1-11100200-1-111-1-12-2-1-111-2200001100-1-10000000000
χ3222222-1-2-2222-12-12-1-2-111-1-1-1-2-2-1-11122-2-222-2-21111-22-21111-1-1-1-11100200-1-111-1-1-2211-1-12-20000-1-100110000000000
χ3322222-1-2-2-2-22-12-12-12-1-1-1-1-1-1-2-21111-2-22222-2-2-1-1-1-1002-1-1−i3i3i3−i3111100-200-1-1111100−i3i3i3−i3000000−i3i300i3−i30000000000
χ3422222-1-2-2-2-22-12-12-12-1-1-1-1-1-1-2-21111-2-22222-2-2-1-1-1-1002-1-1i3−i3−i3i3111100-200-1-1111100i3−i3−i3i3000000i3−i300−i3i30000000000
χ3522222-1-2-2-2-22-12-12-12-1-1-1-1-1-1-2-21111-2-2-2-2-2-2221111002-1-1−i3i3i3−i311110020011-1-1-1-100−i3i3i3−i3000000i3−i300−i3i30000000000
χ3622222-1-2-2-2-22-12-12-12-1-1-1-1-1-1-2-21111-2-2-2-2-2-2221111002-1-1i3−i3−i3i311110020011-1-1-1-100i3−i3−i3i3000000−i3i300i3−i30000000000
χ372222-122222-12-12-122-122-1-1-1-1-12222-1-1000000000022-1-1-12222-1-1-1-122022000000-1-1-1-1-1-100-1-12200-1-100-1-1-1-1000000
χ382222-122222-12-12-122-122-1-1-1-1-12222-1-1000000000022-1-1-12222-1-1-1-1-2-20-2-2000000-1-1-1-1-1-10011-2-20011001111000000
χ392222-122222-12-12-122-122-1-1-1-1-12222-1-10000000000-2-2-1-1-1-2-2-2-2-1-1-1-12202200000011111100-1-1-2-200-1-1001111000000
χ402222-122222-12-12-122-122-1-1-1-1-12222-1-10000000000-2-2-1-1-1-2-2-2-2-1-1-1-1-2-20-2-2000000111111001122001100-1-1-1-1000000
χ412222-12-2-222-12-12-12-2-1-2-2-1-1-11122-2-2-1-100000000002-211122-2-2-1-111220-2-2000000-11-1-11100-1-12-2001100-1-111000000
χ422222-12-2-222-12-12-12-2-1-2-2-1-1-11122-2-2-1-100000000002-211122-2-2-1-111-2-2022000000-11-1-1110011-2200-1-10011-1-1000000
χ432222-12-2-222-12-12-12-2-1-2-2-1-1-11122-2-2-1-10000000000-22111-2-222-1-111220-2-20000001-111-1-100-1-1-2200110011-1-1000000
χ442222-12-2-222-12-12-12-2-1-2-2-1-1-11122-2-2-1-10000000000-22111-2-222-1-111-2-20220000001-111-1-100112-200-1-100-1-111000000
χ452-2-2222002-2-2-2-2-2220200-2-22002-2002-22-2002-222-2-20000000002-2000002-2002-200000000000000002-20000002-20000
χ462-2-2222002-2-2-2-2-2220200-2-22002-2002-22-2002-222-2-20000000002-200000-22002-20000000000000000-22000000-220000
χ472-2-2222002-2-2-2-2-2220200-2-22002-2002-2-2200-22-2-2220000000002-2000002-200-2200000000000000002-2000000-220000
χ482-2-2222002-2-2-2-2-2220200-2-22002-2002-2-2200-22-2-2220000000002-200000-2200-220000000000000000-220000002-20000
χ492-2-222200-22-2-2-2-2220200-2-2200-2200-222-200-2222-2-2000000000-22002-200000-2200000000002-2000000000000002-200
χ502-2-222200-22-2-2-2-2220200-2-2200-2200-222-200-2222-2-2000000000-2200-2200000-220000000000-2200000000000000-2200
χ512-2-222200-22-2-2-2-2220200-2-2200-2200-22-22002-2-2-222000000000-22002-2000002-200000000002-200000000000000-2200
χ522-2-222200-22-2-2-2-2220200-2-2200-2200-22-22002-2-2-222000000000-2200-22000002-20000000000-22000000000000002-200
χ534444-2444-4-4-24-24-24-4-2-4-4-2-2-2-2-2-4-44422000000000000222000022-2-2000000000000000000000000000000000000000
χ544444-24-4-4-4-4-24-24-244-244-2-2-222-4-4-4-422000000000000-2-2-200002222000000000000000000000000000000000000000
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
χ574444-2-244-4-4-2-2-2-2-2-2-4122111-2-222-2-2220000000000002-1-1−2i32i3−2i32i3-1-1110000000000000i3−i3i3−i30000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-2-4122111-2-222-2-2220000000000002-1-12i3−2i32i3−2i3-1-1110000000000000−i3i3−i3i30000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-2-412211122-2-222-2-200000000004-42-1-1-2-22211-1-100000000000-2211-1-10000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-2-412211122-2-222-2-20000000000-442-1-122-2-211-1-1000000000002-2-1-1110000000000000000000000
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
χ6344-4-444000044-4-4-4-404004-4-400000000004-40000000000000000000000004-400000000000000000000000000000000
χ6444-4-444000044-4-4-4-404004-4-40000000000-44000000000000000000000000-4400000000000000000000000000000000
χ6544-4-44-200004-2-42-420-2−2i32i3-22200000000004-400−2i32i3−2i32i3000−2i32i30000000000000-2200000000000000000000000000000000
χ6644-4-44-200004-2-42-420-2−2i32i3-2220000000000-44002i3−2i32i3−2i3000−2i32i300000000000002-200000000000000000000000000000000
χ6744-4-44-200004-2-42-420-22i3−2i3-22200000000004-4002i3−2i32i3−2i30002i3−2i30000000000000-2200000000000000000000000000000000
χ6844-4-44-200004-2-42-420-22i3−2i3-2220000000000-4400−2i32i3−2i32i30002i3−2i300000000000002-200000000000000000000000000000000
χ694-44-4444i−4i00-4-444-4-40400-44-44i−4i004i−4i000000000000000000000004i−4i000000000000000000000000000000000000000
χ704-44-444−4i4i00-4-444-4-40400-44-4−4i4i00−4i4i00000000000000000000000−4i4i000000000000000000000000000000000000000
χ714-44-44-24i−4i00-424-2-420-2002-224i−4i00−2i2i00000000−2i32i32i3−2i300000000000−2i2i00000000023−230000000000000000000000000000
χ724-44-44-24i−4i00-424-2-420-2002-224i−4i00−2i2i000000002i3−2i3−2i32i300000000000−2i2i000000000−23230000000000000000000000000000
χ734-44-44-2−4i4i00-424-2-420-2002-22−4i4i002i−2i00000000−2i32i32i3−2i3000000000002i−2i000000000−23230000000000000000000000000000
χ744-44-44-2−4i4i00-424-2-420-2002-22−4i4i002i−2i000000002i3−2i3−2i32i3000000000002i−2i00000000023−230000000000000000000000000000
χ754-44-4-244i−4i002-4-242-40-2002-22−2i2i004i−4i00000000000000000000000−2i2i00000000000000000000000000000i6−i66−6000000
χ764-44-4-244i−4i002-4-242-40-2002-22−2i2i004i−4i00000000000000000000000−2i2i00000000000000000000000000000−i6i6−66000000
χ774-44-4-24−4i4i002-4-242-40-2002-222i−2i00−4i4i000000000000000000000002i−2i00000000000000000000000000000i6−i6−66000000
χ784-44-4-24−4i4i002-4-242-40-2002-222i−2i00−4i4i000000000000000000000002i−2i00000000000000000000000000000−i6i66−6000000
χ794-4-444-2004-4-42-424-20-20022-200-22004-44-4004-4-2-222000000000-22000000000-22000000000000000000000000000000
χ804-4-444-2004-4-42-424-20-20022-200-22004-4-4400-4422-2-2000000000-220000000002-2000000000000000000000000000000
χ814-4-444-200-44-42-424-20-20022-2002-200-444-400-44-2-2220000000002-20000000002-2000000000000000000000000000000
χ824-4-444-200-44-42-424-20-20022-2002-200-44-44004-422-2-20000000002-2000000000-22000000000000000000000000000000
χ834-4-44-24004-42-42-4-240-20022-2004-400-220000000000000000000-22000004-400000000000000000000-22000000000000
χ844-4-44-24004-42-42-4-240-20022-2004-400-220000000000000000000-2200000-44000000000000000000002-2000000000000
χ854-4-44-2400-442-42-4-240-20022-200-44002-200000000000000000002-2004-400000000000000000-22000000000000000000
χ864-4-44-2400-442-42-4-240-20022-200-44002-200000000000000000002-200-44000000000000000002-2000000000000000000
χ8788-8-8-480000-484-84-80-400-4440000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-40000-4-4444402−4i34i32-2-20000000000000000000002i3−2i300000000000000000000000000000000000000000000000
χ8988-8-8-4-40000-4-44444024i3−4i32-2-2000000000000000000000−2i32i300000000000000000000000000000000000000000000000
χ908-88-8-4-48i−8i0044-4-4440200-22-2−4i4i00−4i4i000000000000000000000002i−2i000000000000000000000000000000000000000
χ918-88-8-4-4−8i8i0044-4-4440200-22-24i−4i004i−4i00000000000000000000000−2i2i000000000000000000000000000000000000000
χ928-8-88-4-4008-84444-4-40200-2-2200-4400-4400000000000000000002-200000000000000000000000000000000000000000
χ938-8-88-4-400-884444-4-40200-2-22004-4004-40000000000000000000-2200000000000000000000000000000000000000000

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