Finite Group Databasebeta

← Group #11872493

Character table — Group #11872493

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order1222334466666634466688121212124121212121212242424242424242422244444121212121212121212124444446668812121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-11111-11-1-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-1-1-1-1111111-1-1111111-1-1-1-11-1-1-1-11-1111-1-111-1-1-1-1-11-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1111-1-1111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1111-11
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-1-1-1-11111-1-11-11
χ10111111111111111-1-1111111111-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-11-11-11111-1-111-1-1-111
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-11-111-1-111-1-111-1-11111-11-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-111-111-1111111-1-1-1-1-1-11
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1111
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-11-1-111-1-111-1-11111111-1-1
χ17222222-2-222222220022200-2-2-2-200000-2-200000000002-22-20022-2-2000000-2-2220000200-20000000000000
χ18222222-2-222222220022200-2-2-2-200000-2-200000000002-2-2200-2-2-2-200000022-2-2000020020000000000000
χ19222222-2-222222220022200-2-2-2-200000-2-20000000000-222-200222200000022-2-20000-200-20000000000000
χ20222222-2-222222220022200-2-2-2-200000-2-20000000000-22-2200-2-222000000-2-2220000-20020000000000000
χ2122222-122-12-1-122-122-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-12222000000-1-1-12-1-1-1-1000002-1-1-102000-1-1000000-100
χ2222222-122-12-1-122-122-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-1-2-2-2-200000011-12-1-1-1-100000-21110-200011000000100
χ2322222-122-12-1-122-122-1-1-1-2-22-1-12-2-1-122-1-111-2-211112222000000-1-11-2-1-11100000-2-1-1-10-200011000000100
χ2422222-122-12-1-122-122-1-1-1-2-22-1-12-2-1-122-1-111-2-21111-2-2-2-2000000111-2-1-11100000211102000-1-1000000-100
χ2522222-122-12-1-122-1-2-2-1-1-1222-1-12-211-2-2-1-1-1-122-1-1-1-122-2-2000000111-21111000002-1-110-200011000000-100
χ2622222-122-12-1-122-1-2-2-1-1-1222-1-12-211-2-2-1-1-1-122-1-1-1-1-2-222000000-1-11-2111100000-211-102000-1-1000000100
χ2722222-122-12-1-122-1-2-2-1-1-1-2-22-1-12211-2-2-1-111-2-2111122-2-200000011-1211-1-100000-2-1-1102000-1-1000000100
χ2822222-122-12-1-122-1-2-2-1-1-1-2-22-1-12211-2-2-1-111-2-21111-2-222000000-1-1-1211-1-100000211-10-200011000000-100
χ292222-12222-122-1-1-122-1-1-122-122-1222-1-1-1-122-1-1-1-1-1-100002222-1-1002-1-1-1-1-100002000020-1-1-100-1-100000-10
χ302222-12222-122-1-1-122-1-1-122-122-1222-1-1-1-122-1-1-1-1-1-10000-2-2-2-211002-1-1-1-1-10000-20000-2011100110000010
χ312222-12222-122-1-1-122-1-1-1-2-2-122-1-222-1-1-1-1-2-211111100002222-1-100-21-1-1110000-20000-20-1-1-100110000010
χ322222-12222-122-1-1-122-1-1-1-2-2-122-1-222-1-1-1-1-2-21111110000-2-2-2-21100-21-1-1110000200002011100-1-100000-10
χ332222-12222-122-1-1-1-2-2-1-1-122-122-1-2-2-211-1-122-1-1-1-1-1-1000022-2-2-1-100-2111110000-2000020-11100-1-10000010
χ342222-12222-122-1-1-1-2-2-1-1-122-122-1-2-2-211-1-122-1-1-1-1-1-10000-2-2221100-211111000020000-201-1-1001100000-10
χ352222-12222-122-1-1-1-2-2-1-1-1-2-2-122-12-2-211-1-1-2-2111111000022-2-2-1-1002-111-1-1000020000-20-111001100000-10
χ362222-12222-122-1-1-1-2-2-1-1-1-2-2-122-12-2-211-1-1-2-21111110000-2-22211002-111-1-10000-20000201-1-100-1-10000010
χ3722-2-2222-2-2-2-22-2222-2-2-2200-22-2202-22-2-2200000000000000000000002-2002i−2i2i−2i000000000000002i−2i00000
χ3822-2-2222-2-2-2-22-2222-2-2-2200-22-2202-22-2-2200000000000000000000002-200−2i2i−2i2i00000000000000−2i2i00000
χ3922-2-2222-2-2-2-22-222-22-2-2200-22-220-22-22-220000000000000000000000-22002i−2i2i−2i00000000000000−2i2i00000
χ4022-2-2222-2-2-2-22-222-22-2-2200-22-220-22-22-220000000000000000000000-2200−2i2i−2i2i000000000000002i−2i00000
χ4122-2-222-22-2-2-22-22200-2-22002-22-2000002-2000000002-200002i−2i00000000002i−2i−2i2i002-200002i−2i00000000000
χ4222-2-222-22-2-2-22-22200-2-22002-22-2000002-2000000002-20000−2i2i0000000000−2i2i2i−2i002-20000−2i2i00000000000
χ4322-2-222-22-2-2-22-22200-2-22002-22-2000002-200000000-2200002i−2i0000000000−2i2i2i−2i00-2200002i−2i00000000000
χ4422-2-222-22-2-2-22-22200-2-22002-22-2000002-200000000-220000−2i2i00000000002i−2i−2i2i00-220000−2i2i00000000000
χ4544444-2-4-4-24-2-244-200-2-2-200-422-4000002200000000004-40000002200000000000000-20000000000000000
χ4644444-2-4-4-24-2-244-200-2-2-200-422-400000220000000000-44000000-2-20000000000000020000000000000000
χ474444-24-4-44-244-2-2-200-2-2-2002-4-4200000220000000000004-400-2-2000000000000000000020000000000000
χ484444-24-4-44-244-2-2-200-2-2-2002-4-420000022000000000000-4400220000000000000000000-20000000000000
χ494444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-21111000000000000-2-211110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000000002211-1-10000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-2111100000000000022-1-1-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-1000000000000-2-2-1-1110000000000000000000000000
χ5344-4-44-24-42-42-2-44-24-422-200-4-2240-224-42-20000000000000000000000-22000000000000000000000000000
χ5444-4-44-24-42-42-2-44-2-4422-200-4-22402-2-442-200000000000000000000002-2000000000000000000000000000
χ5544-4-44-2-442-42-2-44-20022-20042-2-400000-22000000004-40000000000000000000000-2200000000000000000
χ5644-4-44-2-442-42-2-44-20022-20042-2-400000-2200000000-4400000000000000000000002-200000000000000000
χ5744-4-4-244-4-42-442-2-24-422-20024-4-204-4-222-20000000000000000000000-22000000000000000000000000000
χ5844-4-4-244-4-42-442-2-2-4422-20024-4-20-442-22-200000000000000000000002-2000000000000000000000000000
χ5944-4-4-24-44-42-442-2-20022-200-2-44200000-22000000000000004i−4i0000000000000000000000−2i2i00000000000
χ6044-4-4-24-44-42-442-2-20022-200-2-44200000-2200000000000000−4i4i00000000000000000000002i−2i00000000000
χ6144-4-4-2-24-4222-22-214-4-1-11002-22-20-22-22-11000033-3-3000000000000001-13-30000000000000000000000000
χ6244-4-4-2-24-4222-22-214-4-1-11002-22-20-22-22-110000-3-333000000000000001-1-330000000000000000000000000
χ6344-4-4-2-24-4222-22-21-44-1-11002-22-202-22-2-11000033-3-300000000000000-11-330000000000000000000000000
χ6444-4-4-2-24-4222-22-21-44-1-11002-22-202-22-2-110000-3-33300000000000000-113-30000000000000000000000000
χ654-44-44400-444-4-4-44004-4-422−220000000000022−2222−2222−2222−220000000000000000000000000000000000000000000
χ664-44-44400-444-4-4-44004-4-4−222200000000000−2222−2222−2222−22220000000000000000000000000000000000000000000
χ674-44-44-20024-22-4-4-200-22222−2200000000000−2222−22−22−22000000000023−23000000000000000000006−6000000000
χ684-44-44-20024-22-4-4-200-22222−2200000000000−2222−22−22−220000000000−232300000000000000000000−66000000000
χ694-44-44-20024-22-4-4-200-222−2222000000000002−2−22222−22−2000000000023−2300000000000000000000−66000000000
χ704-44-44-20024-22-4-4-200-222−2222000000000002−2−22222−22−20000000000−2323000000000000000000006−6000000000
χ714-44-4-2400-4-24-422-200-22222−220000000000022−22−22−22−2200000000−2i32i3000000000000000000000000i6−i60000000
χ724-44-4-2400-4-24-422-200-22222−220000000000022−22−22−22−22000000002i3−2i3000000000000000000000000−i6i60000000
χ734-44-4-2400-4-24-422-200-222−222200000000000−22222−22−22−200000000−2i32i3000000000000000000000000−i6i60000000
χ744-44-4-2400-4-24-422-200-222−222200000000000−22222−22−22−2000000002i3−2i3000000000000000000000000i6−i60000000
χ754-4-4444004-4-4-44-4400-44-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ764-4-4444004-4-4-44-4400-44-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4-88444-44-4200-2-2200-44-44000002-2000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-4-44442002-2-242−4200000000000−2222−22222−22−20000000000000000000000000000000000000000000
χ808-88-8-4-4004-4-44442002-2-2−42420000000000022−2222−22−22−220000000000000000000000000000000000000000000
χ818-8-888-400-4-8448-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-480084-8-8-44-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-4444-44200-22-20000000000000000032−32−32320000000000000000000000000000000000000000000
χ848-8-88-4-400-4444-44200-22-200000000000000000−323232−320000000000000000000000000000000000000000000

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