Finite Group Databasebeta

← Group #11878537

Character table — Group #11878537

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444488888888888888881212121212121212161616161616242424242424242424242424242424243636363648487272
order1222334466666636668812121212441212121212122424242424242424224466661212121212122244881212121212122424242424886644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-111-1-11111111-11-11-11-111-1-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-11-11-1-111111111-11-11-11-11-1-111-1-111-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-111111111111-11-111-1-1-1-1-1-1-1-1-11-111-11-1-1-11111-1-1-1-1-1-1-1111
χ7111111111111111111111111-1-1-1-1-1-11111111111-11-11-1-111-1-1-1-1-1-11-11-1-11-1111-1-1-1-111-1-1-1-11-111
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111111111-111-1-11-1-11-1-111-1-111-1-1-1-111-1-11-11-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-11-11-111-1-11-111-1-111-1-1-111-1-1-1-1-1-1-111-1-11111-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1111-111-1-1-1-1111-1-11111111-1-1-1-111-1-1-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111-111-1-111-1-1111111-1-1-111-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111111111-11-1-111-111-1-1-11111-1-1-1-1-1-111-1-1-11-11
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-11-1-111-1-111-111-11111-1-111-1-111-1-11-1
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-11-1-11111-1-11-1-11-1-1-1-111-1-1-1-111111-1
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111-1-1-1-111111111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-2000000-2-20000000022-2-22222000000000000-2-200000000-22000000
χ18222222-2-2222222222200-2-2-2-2000000-2-2000000002-2-2222-2-2000000000000-22000000002-2000000
χ19222222-2-2222222222200-2-2-2-2000000-2-200000000-222-2-2-2220000000000002-2000000002-2000000
χ20222222-2-2222222222200-2-2-2-2000000-2-200000000-2-222-2-2-2-20000000000002200000000-22000000
χ2122222-1222-12-12-1-1-1-1-1222-12-12222-1-1-1-122-1-1-1-1-1-12020-1-100-12-1-1-1-1202020-10-1-100-1-1000000-1000
χ2222222-1222-12-12-1-1-1-1-1222-12-12222-1-1-1-122-1-1-1-1-1-1-20-201100-12-1-1-1-1-20-20-20101100110000001000
χ2322222-1222-12-12-1-1-1-1-1222-12-1-2-2-2-211-1-122-1-1-1-1-1-12020-1-1001-21111-20-2020-101100-1-10000001000
χ2422222-1222-12-12-1-1-1-1-1222-12-1-2-2-2-211-1-122-1-1-1-1-1-1-20-2011001-211112020-2010-1-10011000000-1000
χ2522222-1222-12-12-1-1-1-1-1-2-22-12-12-22211-1-1-2-21111112020-1-100-1-2-1-11120-20-20-10110011000000-1000
χ2622222-1222-12-12-1-1-1-1-1-2-22-12-12-22211-1-1-2-2111111-20-201100-1-2-1-111-20202010-1-100-1-10000001000
χ2722222-1222-12-12-1-1-1-1-1-2-22-12-1-22-2-2-1-1-1-1-2-21111112020-1-1001211-1-1-2020-20-10-1-100110000001000
χ2822222-1222-12-12-1-1-1-1-1-2-22-12-1-22-2-2-1-1-1-1-2-2111111-20-2011001211-1-120-2020101100-1-1000000-1000
χ292222-1222-12-12-12-1-1-1-122-12-1222-1-122-1-1-1-122-1-1-1-1020200-1-12-1-1-1-1-10202020-100-1-100-1-100000-100
χ302222-1222-12-12-12-1-1-1-122-12-1222-1-122-1-1-1-122-1-1-1-10-20-200112-1-1-1-1-10-20-20-2010011001100000100
χ312222-1222-12-12-12-1-1-1-122-12-12-2-211-2-2-1-1-1-122-1-1-1-1020200-1-1-2111110-20-2020-1001100-1-100000100
χ322222-1222-12-12-12-1-1-1-122-12-12-2-211-2-2-1-1-1-122-1-1-1-10-20-20011-21111102020-20100-1-1001100000-100
χ332222-1222-12-12-12-1-1-1-1-2-2-12-122-2-1-1-2-2-1-111-2-21111020200-1-121-1-1110-2020-20-100-1-1001100000100
χ342222-1222-12-12-12-1-1-1-1-2-2-12-122-2-1-1-2-2-1-111-2-211110-20-2001121-1-111020-20201001100-1-100000-100
χ352222-1222-12-12-12-1-1-1-1-2-2-12-12-221122-1-111-2-21111020200-1-1-2-111-1-1020-20-20-10011001100000-100
χ362222-1222-12-12-12-1-1-1-1-2-2-12-12-221122-1-111-2-211110-20-20011-2-111-1-10-202020100-1-100-1-100000100
χ3744444-2-4-44-24-24-2-2-2-2-200-42-42000000220000000040-40-2-200000000000000200000000000000000
χ3844444-2-4-44-24-24-2-2-2-2-200-42-420000002200000000-40402200000000000000-200000000000000000
χ394444-24-4-4-24-24-24-2-2-2-2002-42-40000002200000000040-400-2-2000000000000020000000000000000
χ404444-24-4-4-24-24-24-2-2-2-2002-42-400000022000000000-40400220000000000000-20000000000000000
χ414444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-2111100000000-2-21111000000000000000000000000
χ424444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-211110000000022-1-1-1-1000000000000000000000000
χ434444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-100000000-2211-1-1000000000000000000000000
χ444444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-1000000002-2-1-111000000000000000000000000
χ4544-4-4440044-4-4-4-444-4-400000000000000000000000000000000000000000000000000000022−220000
χ4644-4-4440044-4-4-4-444-4-4000000000000000000000000000000000000000000000000000000−22220000
χ474-44-44400-4-4-4-4444-4-4422−2200000000000022−2222−222222−22−2200000000000000000000000000000000000000
χ484-44-44400-4-4-4-4444-4-44−2222000000000000−2222−2222−22−22222200000000000000000000000000000000000000
χ494-44-44-200-42-424-2-222-222−2200000000000022−22−22−2−2220000−2i32i300000000000000000000i6−i60000000000
χ504-44-44-200-42-424-2-222-222−2200000000000022−22−22−2−22200002i3−2i300000000000000000000−i6i60000000000
χ514-44-44-200-42-424-2-222-2−2222000000000000−22222−222−2−20000−2i32i300000000000000000000−i6i60000000000
χ524-44-44-200-42-424-2-222-2−2222000000000000−22222−222−2−200002i3−2i300000000000000000000i6−i60000000000
χ534-44-4-24002-42-4-24-222-222−22000000000000−2222−22−2−222000000−2i32i300000000000000000000i6−i600000000
χ544-44-4-24002-42-4-24-222-222−22000000000000−2222−22−2−2220000002i3−2i300000000000000000000−i6i600000000
χ554-44-4-24002-42-4-24-222-2−22220000000000002−2−222222−2−2000000−2i32i300000000000000000000−i6i600000000
χ564-44-4-24002-42-4-24-222-2−22220000000000002−2−222222−2−20000002i3−2i300000000000000000000i6−i600000000
χ574-4-44444-4-4-444-4-44-44-400-4-4440000004-40000000000000000000000000000000000000000000000
χ584-4-4444-44-4-444-4-44-44-40044-4-4000000-440000000000000000000000000000000000000000000000
χ594-4-444-24-4-424-2-42-22-2200-424-2000000-2200000000000000000000000000000023−2300000000000000
χ604-4-444-24-4-424-2-42-22-2200-424-2000000-22000000000000000000000000000000−232300000000000000
χ614-4-444-2-44-424-2-42-22-22004-2-42000023−232-20000000000000000000023−23000000000000000000000000
χ624-4-444-2-44-424-2-42-22-22004-2-420000−23232-200000000000000000000−2323000000000000000000000000
χ634-4-44-244-42-4-242-4-22-22002-4-24000000-220000000000000000000000000000000023−23000000000000
χ644-4-44-244-42-4-242-4-22-22002-4-24000000-2200000000000000000000000000000000−2323000000000000
χ654-4-44-24-442-4-242-4-22-2200-242-40023−23002-200000000000000000023−2300000000000000000000000000
χ664-4-44-24-442-4-242-4-22-2200-242-400−2323002-2000000000000000000−232300000000000000000000000000
χ674-4-44-2-2-4422-2-2221-11-100-2-2220023−2323−23-1100003-33-30000000000−33−33000000000000000000000000
χ684-4-44-2-2-4422-2-2221-11-100-2-2220023−23−2323-110000-33-330000000000−333−3000000000000000000000000
χ694-4-44-2-2-4422-2-2221-11-100-2-22200−232323−23-110000-33-3300000000003−3−33000000000000000000000000
χ704-4-44-2-2-4422-2-2221-11-100-2-22200−2323−2323-1100003-33-300000000003−33−3000000000000000000000000
χ718888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000
χ7288-8-88-4008-4-84-84-4-444000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4800-484-84-8-4-444000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-4-400-4-4444422-2-200000000000000000032−32−323200000000000000000000000000000000000000
χ7588-8-8-4-400-4-4444422-2-2000000000000000000−323232−3200000000000000000000000000000000000000
χ768-88-8-4-4004444-4-42-2-2242−42000000000000−2222−222222−2−200000000000000000000000000000000000000
χ778-88-8-4-4004444-4-42-2-22−424200000000000022−2222−22−2−22200000000000000000000000000000000000000
χ788-8-88-4-48-844-4-4442-22-20044-4-40000002-20000000000000000000000000000000000000000000000

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