Finite Group Databasebeta

← Group #11889386

Character table — Group #11889386

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order12223344666666344666121212122248121212121212121224242424242424244444466881212121212121212124448121212121212122424242424881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1111111-111-1-1-1-111111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1111-1-11111-111-1-1-111-111-1-1111-1-1-1-111-1-1-1-11
χ411111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-11-1-1-111111-1-111-1-111-11-1
χ5111111111111111111111111-1-11111111111111111111111-1-1-111111111111-11-1-11111-1-1-1-1-111-1-1-1-1-1-1-1
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
χ7111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-111-1-111-1111-1-1-1-1-111-1-1-1-11111-1
χ8111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-111-1-11-1-11-1-111-1-1-1111111-1-11-11
χ9111111111111111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111111-1-111111-1-1111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1
χ10111111111111111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-1-11111-1-111-1-11-1-1-1-111-1-1111-11
χ11111111111111111-1-1111111111-11-1-1-1-1-1-1111111111111-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-111111111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-111-1-1-1-1-1-1-111
χ13111111111111111-1-11111111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-111-1-111-1-111-11111-1-1-1-111-1-11
χ14111111111111111-1-11111111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-111-111111-1-1-111111111-1-1-11-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1111111-1-1-1-1-11-11-1-1-1-1-1-111-1-111-1-1-1-1111
χ16111111111111111-1-11111111-1-1-11-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111-111-1-1-1-111111-1-1
χ17222222-2-2222222200222-2-2-2-22200000000-2-2000000002-200-2220022-2-20000000000000-2000000-2200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-200000000-2200-22200-2-2220000000000000-20000002-200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-2000000002-2002-2-20022-2-2000000000000020000002-200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-200000000-22002-2-200-2-22200000000000002000000-2200000
χ2122222-122-12-122-1-122-1-1-12-12-122222222-1-1-1-122-1-1-1-1-1-100002-1-1000000-1-1-1-1-120220000-1-1-1-1-1000000-100
χ2222222-122-12-122-1-122-1-1-12-12-122-2-222-2-2-1-1-1-1-2-211111100002-1-10000001-1-111-202-20000-1-1-111000000100
χ2322222-122-12-122-1-122-1-1-12-12-1-2-2222222-1-1-1-122-1-1-1-1-1-10000-211000000-1-1-1-1-1-20-2-2000011111000000100
χ2422222-122-12-122-1-122-1-1-12-12-1-2-2-2-222-2-2-1-1-1-1-2-21111110000-2110000001-1-11120-220000111-1-1000000-100
χ2522222-122-12-122-1-1-2-2-1-1-12-12-1222-2-2-22211-1-1-2-211111100002-1-1000000-111-1-120-2-20000-11111000000-100
χ2622222-122-12-122-1-1-2-2-1-1-12-12-122-22-2-2-2-211-1-122-1-1-1-1-1-100002-1-100000011111-20-220000-111-1-1000000100
χ2722222-122-12-122-1-1-2-2-1-1-12-12-1-2-22-2-2-22211-1-1-2-21111110000-211000000-111-1-1-202200001-1-1-1-1000000100
χ2822222-122-12-122-1-1-2-2-1-1-12-12-1-2-2-22-2-2-2-211-1-122-1-1-1-1-1-10000-21100000011111202-200001-1-111000000-100
χ292222-12222-12-1-12-122-1-1-1-12-120022-1-1-1-122-1-1-1-122-1-1-1-1222200022-1-1-1-12-1-1-1-10200-1-1-1-100000-1-10000000
χ302222-12222-12-1-12-122-1-1-1-12-120022-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2000-2-211112-1-1-1-10-200111100000110000000
χ312222-12222-12-1-12-122-1-1-1-12-1200-2-2-1-11122-1-111-2-2111122-2-2000-2-2-1-1-1-1-2-1-1110200-1-11100000110000000
χ322222-12222-12-1-12-122-1-1-1-12-1200-2-2-1-11122-1-111-2-21111-2-222000221111-2-1-1110-20011-1-100000-1-10000000
χ332222-12222-12-1-12-1-2-2-1-1-1-12-12002-211-1-1-2-2-1-111-2-211112222000-2-2-1-1-1-1211-1-10-20011-1-100000110000000
χ342222-12222-12-1-12-1-2-2-1-1-1-12-12002-211-1-1-2-2-1-111-2-21111-2-2-2-2000221111211-1-10200-1-11100000-1-10000000
χ352222-12222-12-1-12-1-2-2-1-1-1-12-1200-221111-2-2-1-1-1-122-1-1-1-122-2-200022-1-1-1-1-211110-200111100000-1-10000000
χ362222-12222-12-1-12-1-2-2-1-1-1-12-1200-221111-2-2-1-1-1-122-1-1-1-1-2-222000-2-21111-211110200-1-1-1-100000110000000
χ372-2-22222-2-22-2-2-2222-2-2-2222-2-200002-2002-2-2200000000002i−2i0002i−2i000002-2000000002i−2i000002i−2i0000000
χ382-2-22222-2-22-2-2-2222-2-2-2222-2-200002-2002-2-220000000000−2i2i000−2i2i000002-200000000−2i2i00000−2i2i0000000
χ392-2-22222-2-22-2-2-222-22-2-2222-2-20000-2200-22-2200000000002i−2i000−2i2i00000-22000000002i−2i00000−2i2i0000000
χ402-2-22222-2-22-2-2-222-22-2-2222-2-20000-2200-22-220000000000−2i2i0002i−2i00000-2200000000−2i2i000002i−2i0000000
χ412-2-22-122-2-2-1-2112-12-211-1-121-20000-11−i3i32-21-1−i3i300−i3−i3i3i3002i−2i0002i−2i3−33−30-11−i3i300003−3−ii00000−ii0000000
χ422-2-22-122-2-2-1-2112-12-211-1-121-20000-11−i3i32-21-1−i3i300−i3−i3i3i300−2i2i000−2i2i−33−330-11−i3i30000−33i−i00000i−i0000000
χ432-2-22-122-2-2-1-2112-12-211-1-121-20000-11i3−i32-21-1i3−i300i3i3−i3−i3002i−2i0002i−2i−33−330-11i3−i30000−33−ii00000−ii0000000
χ442-2-22-122-2-2-1-2112-12-211-1-121-20000-11i3−i32-21-1i3−i300i3i3−i3−i300−2i2i000−2i2i3−33−30-11i3−i300003−3i−i00000i−i0000000
χ452-2-22-122-2-2-1-2112-1-2211-1-121-200001-1−i3i3-221-1i3−i300i3i3−i3−i3002i−2i000−2i2i3−33−301-1−i3i30000−33−ii00000i−i0000000
χ462-2-22-122-2-2-1-2112-1-2211-1-121-200001-1−i3i3-221-1i3−i300i3i3−i3−i300−2i2i0002i−2i−33−3301-1−i3i300003−3i−i00000−ii0000000
χ472-2-22-122-2-2-1-2112-1-2211-1-121-200001-1i3−i3-221-1−i3i300−i3−i3i3i3002i−2i000−2i2i−33−3301-1i3−i300003−3−ii00000i−i0000000
χ482-2-22-122-2-2-1-2112-1-2211-1-121-200001-1i3−i3-221-1−i3i300−i3−i3i3i300−2i2i0002i−2i3−33−301-1i3−i30000−33i−i00000−ii0000000
χ4944444-2-4-4-24-244-2-200-2-2-2-42-42440000000022000000000000-4-2-2000000000000000000020000000000000
χ5044444-2-4-4-24-244-2-200-2-2-2-42-42-4-400000000220000000000004220000000000000000000-20000000000000
χ514444-24-4-44-24-2-24-200-2-2-22-42-4000000000022000000004-40000000-2-222000000000000000000000000000
χ524444-24-4-44-24-2-24-200-2-2-22-42-400000000002200000000-44000000022-2-2000000000000000000000000000
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
χ5744-4-44400-4-444-4-44004-4-40000000000000000000000000000000000000000000000000000000000022−22000
χ5844-4-44400-4-444-4-44004-4-400000000000000000000000000000000000000000000000000000000000−2222000
χ594-44-444004-4-4-44-4400-44-400004-4000000000000000000000004-4000000000000000000000000000000000
χ604-44-444004-4-4-44-4400-44-40000-4400000000000000000000000-44000000000000000000000000000000000
χ614-44-44-200-2-42-442-2002-2200004-4000000000000i6−i6i6−i6i6−i600000-220000000000000000000000i6−i6000000000
χ624-44-44-200-2-42-442-2002-2200004-4000000000000−i6i6−i6i6−i6i600000-220000000000000000000000−i6i6000000000
χ634-44-44-200-2-42-442-2002-220000-44000000000000i6−i6i6−i6i6−i6000002-20000000000000000000000−i6i6000000000
χ644-44-44-200-2-42-442-2002-220000-44000000000000−i6i6−i6i6−i6i6000002-20000000000000000000000i6−i6000000000
χ654-4-4444-44-44-4-4-44400-4-44-4-44400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-24-4242-4-4-2-24-422-24-2-4200004-400-222-20000000000000000000000-22000000000000000000000000
χ674-4-444-24-4242-4-4-2-2-4422-24-2-420000-44002-22-200000000000000000000002-2000000000000000000000000
χ684-4-444-2-44242-4-4-2-20022-2-424-20000000000-2200000000000000000000000000000000000−2i32i300000000000
χ694-4-444-2-44242-4-4-2-20022-2-424-20000000000-22000000000000000000000000000000000002i3−2i300000000000
χ704-4-44-24-44-4-2-4224-20022-22-4-240000000000-220000000000000000023−23−2323000000000000000000000000000
χ714-4-44-24-44-4-2-4224-20022-22-4-240000000000-2200000000000000000−232323−23000000000000000000000000000
χ724-4-44-2-24-42-2222-214-4-1-11-2-2220000-22−2i32i3-22-11−2i32i300i3i3−i3−i3000000000000001-1i3−i30000000000000000000000
χ734-4-44-2-24-42-2222-214-4-1-11-2-2220000-222i3−2i3-22-112i3−2i300−i3−i3i3i3000000000000001-1−i3i30000000000000000000000
χ744-4-44-2-24-42-2222-21-44-1-11-2-22200002-2−2i32i32-2-112i3−2i300−i3−i3i3i300000000000000-11i3−i30000000000000000000000
χ754-4-44-2-24-42-2222-21-44-1-11-2-22200002-22i3−2i32-2-11−2i32i300i3i3−i3−i300000000000000-11−i3i30000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-88-4004-8-48-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4800-848-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-40044-4-4442002-2-20000000000000000000032−32−32320000000000000000000000000000000000000000
χ8088-8-8-4-40044-4-4442002-2-200000000000000000000−323232−320000000000000000000000000000000000000000
χ818-88-8-480084-84-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-4444-44200-22-20000000000000000002i6−2i6−i6i6−i6i60000000000000000000000000000000000000000
χ838-88-8-4-400-4444-44200-22-2000000000000000000−2i62i6i6−i6i6−i60000000000000000000000000000000000000000
χ848-8-88-4-4-884-4444-4200-2-2244-4-400000000002-2000000000000000000000000000000000000000000000000

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