Finite Group Databasebeta

← Group #11896059

Character table — Group #11896059

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order1222334466666634466612121212444812121212121212122424242424242424444448812121212121212121212124448121212121212122424242444881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-11-1-1-111-1-1-1-11111111-11111-1-1-1-1-1-111-1-1-1-11-1-1
χ311111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-11-11111-1-1-1-1-111-1-1-11-1-111111-1-111-1-1-1-111-11-1
χ411111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1111111-111-1-1-111-1111-1-111-1-1-1-111-1-1-1-11
χ5111111111111111111111111-1-1111111111111111111111-1111-1-1111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ7111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-111-1-11-1-11-1-1-111-1-1111111-1-11-11
χ8111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-111-1-11-111-1-1-1-1-111-1-111-1-11111-1
χ9111111111111111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-111111-1-11111111-1-1111-1-1-11-1-111-1-1-1-1-1-111-1-111-1
χ10111111111111111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11-1-1111-11-11-1-1-1-11111-1-1-1-1111-11
χ11111111111111111-1-1111111111-11-1-1-1-1-1-1111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-111
χ12111111111111111-1-1111111111-11-1-1-1-1-1-11111111111-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1
χ13111111111111111-1-11111111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1111-11-1-1-1-111111-1-111-11-11-11111-1-1-1-111-1-111-1-11
χ14111111111111111-1-11111111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1111-111-1-111111111-1-1-11-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-111111-1-1
χ16111111111111111-1-11111111-1-1-11-1-1-1-1-1-11111111111-1-11-1111-1-11111-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1-1-1-1111
χ17222222-2-2222222200222-2-2-2-22200000000-2-200000000002-2-2002222-2-2000000000-200000000002-200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-20000000000-2-220022-2-222000000000-20000000000-2200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-2000000000022-200-2-222-2-200000000020000000000-2200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-20000000000-22200-2-2-2-222000000000200000000002-200000
χ2122222-1222-12-1-12-122-1-1-12-1-120022-1-1-1-122-1-1-1-122-1-1-1-1222022200-1-1-1-12-1-1-1-10020000-1-1-1-1-1-1000000000
χ2222222-1222-12-1-12-122-1-1-12-1-120022-1-1-1-122-1-1-1-122-1-1-1-1-2-2-20-2-2-20011112-1-1-1-100-20000111111000000000
χ2322222-1222-12-1-12-122-1-1-12-1-1200-2-2-1-11122-1-111-2-2111122-20-222001111-2-1-11100-20000-1-111-1-1000000000
χ2422222-1222-12-1-12-122-1-1-12-1-1200-2-2-1-11122-1-111-2-21111-2-2202-2-200-1-1-1-1-2-1-111002000011-1-111000000000
χ2522222-1222-12-1-12-1-2-2-1-1-12-1-12002-211-1-1-2-2-1-111-2-2111122202-2-200-1-1-1-1211-1-100-20000-1-11111000000000
χ2622222-1222-12-1-12-1-2-2-1-1-12-1-12002-211-1-1-2-2-1-111-2-21111-2-2-20-222001111211-1-1002000011-1-1-1-1000000000
χ2722222-1222-12-1-12-1-2-2-1-1-12-1-1200-221111-2-2-1-1-1-122-1-1-1-122-20-2-2-2001111-211110020000-1-1-1-111000000000
χ2822222-1222-12-1-12-1-2-2-1-1-12-1-1200-221111-2-2-1-1-1-122-1-1-1-1-2-22022200-1-1-1-1-2111100-200001111-1-1000000000
χ292222-1222-12-122-1-122-1-1-1-122-122222222-1-1-1-122-1-1-1-1-1-10002000-1-10000-1-1-1-1-12202-1-1-1000000-1-10000-100
χ302222-1222-12-122-1-122-1-1-1-122-122-2-222-2-2-1-1-1-1-2-21111110002000-1-100001-1-111-220-2-1-1-1000000110000100
χ312222-1222-12-122-1-122-1-1-1-122-1-2-2222222-1-1-1-122-1-1-1-1-1-1000-2000110000-1-1-1-1-1-2-20-2111000000110000100
χ322222-1222-12-122-1-122-1-1-1-122-1-2-2-2-222-2-2-1-1-1-1-2-2111111000-20001100001-1-1112-202111000000-1-10000-100
χ332222-1222-12-122-1-1-2-2-1-1-1-122-1222-2-2-22211-1-1-2-21111110002000-1-10000-111-1-12-20-2-111000000110000-100
χ342222-1222-12-122-1-1-2-2-1-1-1-122-122-22-2-2-2-211-1-122-1-1-1-1-1-10002000-1-1000011111-2-202-111000000-1-10000100
χ352222-1222-12-122-1-1-2-2-1-1-1-122-1-2-22-2-2-22211-1-1-2-2111111000-2000110000-111-1-1-22021-1-1000000-1-10000100
χ362222-1222-12-122-1-1-2-2-1-1-1-122-1-2-2-22-2-2-2-211-1-122-1-1-1-1-1-1000-200011000011111220-21-1-1000000110000-100
χ3722-2-222-22-22-2-2-2222-2-2-22-22-2200002-2002-2-22000000002i−2i0002i−2i00000002-20000000002i−2i002i−2i000000000
χ3822-2-222-22-22-2-2-2222-2-2-22-22-2200002-2002-2-2200000000−2i2i000−2i2i00000002-2000000000−2i2i00−2i2i000000000
χ3922-2-222-22-22-2-2-222-22-2-22-22-220000-2200-22-22000000002i−2i000−2i2i0000000-220000000002i−2i00−2i2i000000000
χ4022-2-222-22-22-2-2-222-22-2-22-22-220000-2200-22-2200000000−2i2i0002i−2i0000000-22000000000−2i2i002i−2i000000000
χ4122-2-22-1-22-2-1-2112-12-211-1-2-1120000-11−i3i32-21-1−i3i300−i3−i3i3i32i−2i0002i−2i003−33−30-11−i3i30000000−ii3−3−ii000000000
χ4222-2-22-1-22-2-1-2112-12-211-1-2-1120000-11−i3i32-21-1−i3i300−i3−i3i3i3−2i2i000−2i2i00−33−330-11−i3i30000000i−i−33i−i000000000
χ4322-2-22-1-22-2-1-2112-12-211-1-2-1120000-11i3−i32-21-1i3−i300i3i3−i3−i32i−2i0002i−2i00−33−330-11i3−i30000000−ii−33−ii000000000
χ4422-2-22-1-22-2-1-2112-12-211-1-2-1120000-11i3−i32-21-1i3−i300i3i3−i3−i3−2i2i000−2i2i003−33−30-11i3−i30000000i−i3−3i−i000000000
χ4522-2-22-1-22-2-1-2112-1-2211-1-2-11200001-1−i3i3-221-1i3−i300i3i3−i3−i32i−2i000−2i2i003−33−301-1−i3i30000000−ii−33i−i000000000
χ4622-2-22-1-22-2-1-2112-1-2211-1-2-11200001-1−i3i3-221-1i3−i300i3i3−i3−i3−2i2i0002i−2i00−33−3301-1−i3i30000000i−i3−3−ii000000000
χ4722-2-22-1-22-2-1-2112-1-2211-1-2-11200001-1i3−i3-221-1−i3i300−i3−i3i3i32i−2i000−2i2i00−33−3301-1i3−i30000000−ii3−3i−i000000000
χ4822-2-22-1-22-2-1-2112-1-2211-1-2-11200001-1i3−i3-221-1−i3i300−i3−i3i3i3−2i2i0002i−2i003−33−301-1i3−i30000000i−i−33−ii000000000
χ4944444-2-4-44-24-2-24-200-2-2-2-422-4000000000022000000000040-40000-2-222000000000000000000000000000
χ5044444-2-4-44-24-2-24-200-2-2-2-422-40000000000220000000000-404000022-2-2000000000000000000000000000
χ514444-24-4-4-24-244-2-200-2-2-22-4-4244000000002200000000000-4000-2-20000000000000200000000000000000
χ524444-24-4-4-24-244-2-200-2-2-22-4-42-4-40000000022000000000004000220000000000000-200000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-2-2-211-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-222-2-2112222-1-1-1-10000000000000211-1-10000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-422-2-222112222-1-1-1-10000000000000-2-1-1110000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-4422222211-2-2-2-2111100000000000002-1-1-1-10000000000000000000000
χ5744-4-4444-4-44-4-4-44400-4-444-44-400000000004-4000000000000000000000000000000000000000000000000
χ5844-4-44-24-4-4-2-4224-20022-242-2-40000000000-220000000000000000023−23−2323000000000000000000000000000
χ5944-4-44-24-4-4-2-4224-20022-242-2-40000000000-2200000000000000000−232323−23000000000000000000000000000
χ6044-4-4-244-4242-4-4-2-20022-2-2-4420000000000-22000000000000000000000000000000023−23000000000000000
χ6144-4-4-244-4242-4-4-2-20022-2-2-4420000000000-220000000000000000000000000000000−2323000000000000000
χ6244-4-4-24-44242-4-4-2-24-422-224-4-200004-400-222-20000000000000000000000-22000000000000000000000000
χ6344-4-4-24-44242-4-4-2-2-4422-224-4-20000-44002-22-200000000000000000000002-2000000000000000000000000
χ6444-4-4-2-2-442-2222-214-4-1-112-22-20000-22−2i32i3-22-11−2i32i300i3i3−i3−i3000000000000001-1i3−i30000000000000000000000
χ6544-4-4-2-2-442-2222-214-4-1-112-22-20000-222i3−2i3-22-112i3−2i300−i3−i3i3i3000000000000001-1−i3i30000000000000000000000
χ6644-4-4-2-2-442-2222-21-44-1-112-22-200002-2−2i32i32-2-112i3−2i300−i3−i3i3i300000000000000-11i3−i30000000000000000000000
χ6744-4-4-2-2-442-2222-21-44-1-112-22-200002-22i3−2i32-2-11−2i32i300i3i3−i3−i300000000000000-11−i3i30000000000000000000000
χ684-44-444004-4-44-4-44004-4-400004-400000000000000000000000004-40000000000000000000000000000000
χ694-44-444004-4-44-4-44004-4-40000-440000000000000000000000000-440000000000000000000000000000000
χ704-44-4-2400-2-424-42-200-22200004-4000000000000i6−i6i6−i6i6−i60000000-220000000000000000000000i6−i60000000
χ714-44-4-2400-2-424-42-200-22200004-4000000000000−i6i6−i6i6−i6i60000000-220000000000000000000000−i6i60000000
χ724-44-4-2400-2-424-42-200-2220000-44000000000000i6−i6i6−i6i6−i600000002-20000000000000000000000−i6i60000000
χ734-44-4-2400-2-424-42-200-2220000-44000000000000−i6i6−i6i6−i6i600000002-20000000000000000000000i6−i60000000
χ744-4-444400-4-44-44-4400-44-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ754-4-444400-4-44-44-4400-44-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-8-4-48-84-4444-4200-2-22-44-4400000000002-2000000000000000000000000000000000000000000000000
χ788-88-88-40084-8-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400-444-4442002-2-20000000000000000002i6−2i6−i6i6−i6i60000000000000000000000000000000000000000
χ808-88-8-4-400-444-4442002-2-2000000000000000000−2i62i6i6−i6i6−i60000000000000000000000000000000000000000
χ818-8-888-400-8484-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-8-4-884-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-44-44200-22-20000000000000000000032−32−32320000000000000000000000000000000000000000
χ848-8-88-4-40044-44-44200-22-200000000000000000000−323232−320000000000000000000000000000000000000000

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