Finite Group Databasebeta

← Group #11866345

Character table — Group #11866345

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order1222334466666634466612121212281212121212122424242424242424444444448888121212126666121222442212121212121224242424446648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-11-1111-1-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-11-1-1-1111-1-111-1-1-11-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-111-1-1-1111
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-111111-1-1-1-11-111
χ8111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-11111-1-111-111-11111-1-1-1-11-1
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1111-1-1-1111-1-111-11-11
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11-1-1-1111-1-1-111111-1-11
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1111111-1-11-1-11-1-1-1-1-1-1111-1
χ13111111111111111-1-11111111-11-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-111-11
χ14111111111111111-1-11111111-11-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111-1-1-11-1-111111-11-1
χ15111111111111111-1-11111111-11-1-1-1-11111111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-111-1-111-111-1
χ16111111111111111-1-11111111-11-1-1-1-11111111111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-11
χ17222222-2-2222222200222-2-2-2-2000000-2-200000000002-2002-20000222200000022-2-20000-200-20000000000
χ18222222-2-2222222200222-2-2-2-2000000-2-200000000002-200-22000022-2-2000000-2-2220000-20020000000000
χ19222222-2-2222222200222-2-2-2-2000000-2-20000000000-22002-20000-2-222000000-2-2220000200-20000000000
χ20222222-2-2222222200222-2-2-2-2000000-2-20000000000-2200-220000-2-2-2-200000022-2-2000020020000000000
χ2122222-12222-1-12-1-122-1-1-12-12-12222-1-1-1-122-1-1-1-1-1-100002222002200-1-12-1-1-1-1-1000002000-1-1-100-1-1000-100
χ2222222-12222-1-12-1-122-1-1-12-12-12222-1-1-1-122-1-1-1-1-1-10000-2-2-2-200-2-200112-1-1-1-1-100000-20001110011000100
χ2322222-12222-1-12-1-122-1-1-12-12-1-2-222-1-1-1-1-2-21111110000222200-2-200-1-1-2111-1-100000-2000-1-1-10011000100
χ2422222-12222-1-12-1-122-1-1-12-12-1-2-222-1-1-1-1-2-21111110000-2-2-2-200220011-2111-1-100000200011100-1-1000-100
χ2522222-12222-1-12-1-1-2-2-1-1-12-12-12-2-2-211-1-1-2-2111111000022-2-2002200112-1-1-11100000-2000-1-1100-1-1000100
χ2622222-12222-1-12-1-1-2-2-1-1-12-12-12-2-2-211-1-1-2-21111110000-2-22200-2-200-1-12-1-1-11100000200011-10011000-100
χ2722222-12222-1-12-1-1-2-2-1-1-12-12-1-22-2-211-1-122-1-1-1-1-1-1000022-2-200-2-20011-211111000002000-1-110011000-100
χ2822222-12222-1-12-1-1-2-2-1-1-12-12-1-22-2-211-1-122-1-1-1-1-1-10000-2-222002200-1-1-21111100000-200011-100-1-1000100
χ292222-1222-1-122-12-122-1-1-1-12-1222-1-122-1-1-1-122-1-1-1-1222200002200-1-100-12-1-1-1-1000020-1-1-1000-1-10000-1000
χ302222-1222-1-122-12-122-1-1-1-12-1222-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-2001100-12-1-1-1-10000-201110001100001000
χ312222-1222-1-122-12-122-1-1-1-12-12-2-2-1-122-1-111-2-2111122220000-2-200-1-1001-211-1-10000-20-1-1-10001100001000
χ322222-1222-1-122-12-122-1-1-1-12-12-2-2-1-122-1-111-2-21111-2-2-2-20000220011001-211-1-1000020111000-1-10000-1000
χ332222-1222-1-122-12-1-2-2-1-1-1-12-122-211-2-2-1-111-2-2111122-2-2000022001100-12-1-1110000-20-1-11000-1-100001000
χ342222-1222-1-122-12-1-2-2-1-1-1-12-122-211-2-2-1-111-2-21111-2-2220000-2-200-1-100-12-1-11100002011-1000110000-1000
χ352222-1222-1-122-12-1-2-2-1-1-1-12-12-2211-2-2-1-1-1-122-1-1-1-122-2-20000-2-20011001-21111000020-1-11000110000-1000
χ362222-1222-1-122-12-1-2-2-1-1-1-12-12-2211-2-2-1-1-1-122-1-1-1-1-2-22200002200-1-1001-211110000-2011-1000-1-100001000
χ372-2-22222-22-22-2-2-2200-2-2222-2-20000002-2000000002i−2i002i−2i00000000000000002-22-2002i−2i02i−2i00000000000
χ382-2-22222-22-22-2-2-2200-2-2222-2-20000002-2000000002i−2i00−2i2i0000000000000000-22-22002i−2i0−2i2i00000000000
χ392-2-22222-22-22-2-2-2200-2-2222-2-20000002-200000000−2i2i002i−2i0000000000000000-22-2200−2i2i02i−2i00000000000
χ402-2-22222-22-22-2-2-2200-2-2222-2-20000002-200000000−2i2i00−2i2i00000000000000002-22-200−2i2i0−2i2i00000000000
χ412-2-2222-222-22-2-2-222-2-2-22-2-222002-22-2-2200000000000000000000000000002-22-2-220000000000002-20000
χ422-2-2222-222-22-2-2-222-2-2-22-2-222002-22-2-2200000000000000000000000000002-2-222-2000000000000-220000
χ432-2-2222-222-22-2-2-22-22-2-22-2-22200-22-22-220000000000000000000000000000-222-2-22000000000000-220000
χ442-2-2222-222-22-2-2-22-22-2-22-2-22200-22-22-220000000000000000000000000000-22-222-20000000000002-20000
χ4544444-2-4-444-2-24-2-200-2-2-2-42-4200000022000000000000004-4000000-2-20000000000000000020000000000
χ4644444-2-4-444-2-24-2-200-2-2-2-42-420000002200000000000000-440000002200000000000000000-20000000000
χ474444-24-4-4-2-244-24-200-2-2-22-42-40000002200000000004-400000000-2-2000000000000000020000000000000
χ484444-24-4-4-2-244-24-200-2-2-22-42-4000000220000000000-4400000000220000000000000000-20000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-211-2-2-2-211110000000000000000-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-2112222-1-1-1-1000000000000000022-1-1110000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-42222112222-1-1-1-10000000000000000-2-211-1-10000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-44222211-2-2-2-21111000000000000000022-1-1-1-10000000000000000000000
χ5344-4-44400-44-4-4-444004-4-40000000000000000000000000000−2i22i2000000000000000000000000−2i22i200000000
χ5444-4-44400-44-4-4-444004-4-400000000000000000000000000002i2−2i20000000000000000000000002i2−2i200000000
χ5544-4-4-24002-2-4-424-200-2220000000000006−60066−6−600000000−2i22i200−2i32i300000000000000000000i2−i200000000
χ5644-4-4-24002-2-4-424-200-2220000000000006−60066−6−6000000002i2−2i2002i3−2i300000000000000000000−i2i200000000
χ5744-4-4-24002-2-4-424-200-222000000000000−6600−6−66600000000−2i22i2002i3−2i300000000000000000000i2−i200000000
χ5844-4-4-24002-2-4-424-200-222000000000000−6600−6−666000000002i2−2i200−2i32i300000000000000000000−i2i200000000
χ594-44-44400-4-4-444-4400-44-4000000000000000000000000000000−2i22i2000000000000000000000000−2i22i2000000
χ604-44-44400-4-4-444-4400-44-40000000000000000000000000000002i2−2i20000000000000000000000002i2−2i2000000
χ614-44-44-200-4-42-242-2002-22000000000000006−66−66−60000000000−2i22i200−2i32i300000000000000000000i2−i2000000
χ624-44-44-200-4-42-242-2002-22000000000000006−66−66−600000000002i2−2i2002i3−2i300000000000000000000−i2i2000000
χ634-44-44-200-4-42-242-2002-2200000000000000−66−66−660000000000−2i22i2002i3−2i300000000000000000000i2−i2000000
χ644-44-44-200-4-42-242-2002-2200000000000000−66−66−6600000000002i2−2i200−2i32i300000000000000000000−i2i2000000
χ654-4-444-24-44-4-22-42-20022-24-2-42000000-220000000000004i−4i0000000000000000000000000−2i2i00000000000
χ664-4-444-24-44-4-22-42-20022-24-2-42000000-22000000000000−4i4i00000000000000000000000002i−2i00000000000
χ674-4-444-2-444-4-22-42-24-422-2-424-2004-4-222-20000000000000000000000000000-220000000000000000000000
χ684-4-444-2-444-4-22-42-2-4422-2-424-200-442-22-200000000000000000000000000002-20000000000000000000000
χ694-4-44-244-4-224-42-4-20022-2-242-4000000-22000000004i−4i00000000000000000000000000−2i2i00000000000000
χ704-4-44-244-4-224-42-4-20022-2-242-4000000-2200000000−4i4i000000000000000000000000002i−2i00000000000000
χ714-4-44-24-44-224-42-4-24-422-22-4-2400-224-42-20000000000000000000000000000-220000000000000000000000
χ724-4-44-24-44-224-42-4-2-4422-22-4-24002-2-442-200000000000000000000000000002-20000000000000000000000
χ734-4-44-2-2-44-22-222214-4-1-1122-2-200-22-22-1100003-3-330000000000000000003-31-10000000000000000000000
χ744-4-44-2-2-44-22-222214-4-1-1122-2-200-22-22-110000-333-3000000000000000000-331-10000000000000000000000
χ754-4-44-2-2-44-22-22221-44-1-1122-2-2002-22-2-1100003-3-33000000000000000000-33-110000000000000000000000
χ764-4-44-2-2-44-22-22221-44-1-1122-2-2002-22-2-110000-333-30000000000000000003-3-110000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-42002224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-88-400-8844-8-4-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-4004-4444-42002-2-200000000000026−2600−6−66600000000000000000000000000000000000000000000
χ8088-8-8-4-4004-4444-42002-2-2000000000000−26260066−6−600000000000000000000000000000000000000000000
χ818-88-8-480044-88-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400444-4-44200-22-20000000000000026−26−66−6600000000000000000000000000000000000000000000
χ838-88-8-4-400444-4-44200-22-200000000000000−26266−66−600000000000000000000000000000000000000000000
χ848-8-88-4-48-8-44-4444200-2-22-4-4440000002-20000000000000000000000000000000000000000000000000000

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