Finite Group Databasebeta

← Group #11884806

Character table — Group #11884806

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order12223344666666366688121212124412121212121224242424242424242444444466121212121212121222448812121212121224242424488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1111-1-111-1-1111111-1-11-11-1-1-1-111111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111-111-1-1-111-1-111111111-1-1-11-11111-1-1-1-1-111-1-1-11-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ5111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-11-1-11111111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-1-1-1-11-111
χ7111111111111111111111111-1-1-1-1-1-11111111111-111-111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1-111-1-111-1-1-1-1111
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-1-1-1-111111-1-1
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-11111-1-11111111-111-1-1111-1-1-11111-1-1-1-1-1-11-1-1-111-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-11-111-1-1-1-111-11-1-1-11-1-1-1-111-11111-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-111-11111-1-1111-111-1-1-1-1-1-11-1111-11111-1-1-111-1-1-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-1-111-1111-1-1-1-11111111-1-11-11-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1111111-1-11111-11-1-11111-11-1-11-1-1111-1-1-1-11-1-11-1-11
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-11-1-11111111-1-1-11-1-111-1-1-1-1-11-111111-1-111-111-1-11-1
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11-1-111-1-1111-11-1-1-1-1-111-1-1-111111-1
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111111-111-111-1-1-111111-1-1-11-11
χ17222222-2-2222222222200-2-2-2-2000000-2-20000000022-2-2000022-2-2000000220000200-2000000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-2000000002-22-200002222000000-2-20000-200-20000002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-200000000-22-220000-2-2-2-2000000-2-2000020020000002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-200000000-2-2220000-2-222000000220000-2002000000-2000000
χ2122222-122-1-1222-1-1-1-1-1222-1-122222-1-1-1-1-1-122-1-1-1-120022200-1-100-12-1-1-1-1002020000-1-1-1-1-1000000-100
χ2222222-122-1-1222-1-1-1-1-1222-1-122222-1-1-1-1-1-122-1-1-1-1-200-2-2-2001100-12-1-1-1-100-20-2000011111000000100
χ2322222-122-1-1222-1-1-1-1-1222-1-12-2-2-2-211-1-1-1-122-1-1-1-12002-2-200-1-1001-2111100-2020000-111-1-1000000100
χ2422222-122-1-1222-1-1-1-1-1222-1-12-2-2-2-211-1-1-1-122-1-1-1-1-200-2220011001-211110020-200001-1-111000000-100
χ2522222-122-1-1222-1-1-1-1-1-2-22-1-122-22211-1-111-2-211112002-2-200-1-100-1-2-1-1110020-20000-11111000000-100
χ2622222-122-1-1222-1-1-1-1-1-2-22-1-122-22211-1-111-2-21111-200-222001100-1-2-1-11100-20200001-1-1-1-1000000100
χ2722222-122-1-1222-1-1-1-1-1-2-22-1-12-22-2-2-1-1-1-111-2-2111120022200-1-1001211-1-100-20-20000-1-1-111000000100
χ2822222-122-1-1222-1-1-1-1-1-2-22-1-12-22-2-2-1-1-1-111-2-21111-200-2-2-20011001211-1-1002020000111-1-1000000-100
χ292222-122222-1-1-12-1-1-1-122-122-122-1-122-1-122-1-1-1-1-1-10220002200-1-12-1-1-1-1-1000202-1-1-100000-1-1000-1000
χ302222-122222-1-1-12-1-1-1-122-122-122-1-122-1-122-1-1-1-1-1-10-2-2000-2-200112-1-1-1-1-1000-20-211100000110001000
χ312222-122222-1-1-12-1-1-1-122-122-1-2-211-2-2-1-122-1-1-1-1-1-1022000-2-200-1-1-211111000-202-11100000-1-10001000
χ322222-122222-1-1-12-1-1-1-122-122-1-2-211-2-2-1-122-1-1-1-1-1-10-2-2000220011-21111100020-21-1-10000011000-1000
χ332222-122222-1-1-12-1-1-1-1-2-2-122-12-2-1-1-2-2-1-1-2-21111110220002200-1-121-1-111000-20-2-1-1-100000110001000
χ342222-122222-1-1-12-1-1-1-1-2-2-122-12-2-1-1-2-2-1-1-2-21111110-2-2000-2-2001121-1-11100020211100000-1-1000-1000
χ352222-122222-1-1-12-1-1-1-1-2-2-122-1-221122-1-1-2-2111111022000-2-200-1-1-2-111-1-100020-2-1110000011000-1000
χ362222-122222-1-1-12-1-1-1-1-2-2-122-1-221122-1-1-2-21111110-2-2000220011-2-111-1-1000-2021-1-100000-1-10001000
χ372-2-2222-22-2-2-2-2222-2-2200-22-22000000-220000000000002-22-2000000000000000002-202-2000002-20000
χ382-2-2222-22-2-2-2-2222-2-2200-22-22000000-220000000000002-2-2200000000000000000-2202-200000-220000
χ392-2-2222-22-2-2-2-2222-2-2200-22-22000000-22000000000000-222-2000000000000000002-20-2200000-220000
χ402-2-2222-22-2-2-2-2222-2-2200-22-22000000-22000000000000-22-2200000000000000000-220-22000002-20000
χ4144444-2-4-4-2-2444-2-2-2-2-200-422-40000002200000000400-40000-2-20000000000000000020000000000000
χ4244444-2-4-4-2-2444-2-2-2-2-200-422-40000002200000000-400400002200000000000000000-20000000000000
χ434444-24-4-444-2-2-24-2-2-2-2002-4-42000000220000000004-4000000022000000000000-20000000000000000
χ444444-24-4-444-2-2-24-2-2-2-2002-4-4200000022000000000-440000000-2-200000000000020000000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-2-2111100000000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-2111100000000000022-1-1-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-2211-1-100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-2-1-11100000000000000000000000
χ4944-4-44400-44-44-4-44-44-400000000000000000000000000000000000000004-4000000000000000000000
χ5044-4-44400-44-44-4-44-44-40000000000000000000000000000000000000000-44000000000000000000000
χ514-44-444004-44-4-4-444-4-422−2200000000000022−2222−222222−22−2200000000000000000000000000000000000000000
χ524-44-444004-44-4-4-444-4-4−2222000000000000−2222−2222−22−22222200000000000000000000000000000000000000000
χ534-44-44-200-224-4-42-2-22222−22000000000000−2222−22−2−22200000000−2i32i300000000000000000000i6−i6000000000
χ544-44-44-200-224-4-42-2-22222−22000000000000−2222−22−2−222000000002i3−2i300000000000000000000−i6i6000000000
χ554-44-44-200-224-4-42-2-222−22220000000000002−2−222222−2−200000000−2i32i300000000000000000000−i6i6000000000
χ564-44-44-200-224-4-42-2-222−22220000000000002−2−222222−2−2000000002i3−2i300000000000000000000i6−i6000000000
χ574-44-4-24004-4-222-4-2-22222−2200000000000022−22−22−2−2220000000000−2i32i300000000000000000000i6−i60000000
χ584-44-4-24004-4-222-4-2-22222−2200000000000022−22−22−2−22200000000002i3−2i300000000000000000000−i6i60000000
χ594-44-4-24004-4-222-4-2-222−2222000000000000−22222−222−2−20000000000−2i32i300000000000000000000−i6i60000000
χ604-44-4-24004-4-222-4-2-222−2222000000000000−22222−222−2−200000000002i3−2i300000000000000000000i6−i60000000
χ614-4-44444-4-4-4-4-4444-4-44004-44-40000004-40000000000000000000000000000000000000000000000000
χ624-4-444-24-422-4-44-2-222-20042-2-40000−2i32i3-22000000000000000000000000−2i32i300000000000000000000000
χ634-4-444-24-422-4-44-2-222-20042-2-400002i3−2i3-220000000000000000000000002i3−2i300000000000000000000000
χ644-4-444-2-4422-4-44-2-222-200-4-2240000002-20000000000004-40000000000000000000000-2200000000000
χ654-4-444-2-4422-4-44-2-222-200-4-2240000002-2000000000000-4400000000000000000000002-200000000000
χ664-4-44-244-4-4-422-24-222-200-2-4420023−2300-22000000000000000000000023−230000000000000000000000000
χ674-4-44-244-4-4-422-24-222-200-2-44200−232300-220000000000000000000000−23230000000000000000000000000
χ684-4-44-24-44-4-422-24-222-20024-4-20000002-2000000000000004-400000000000000000-2200000000000000
χ694-4-44-24-44-4-422-24-222-20024-4-20000002-200000000000000-44000000000000000002-200000000000000
χ704-4-44-2-24-42222-2-21-1-1100-22-220023−23−2i32i31-100003i−3i3i−3i00000000000000−33i3−i300000000000000000000000
χ714-4-44-2-24-42222-2-21-1-1100-22-220023−232i3−2i31-10000−3i3i−3i3i00000000000000−33−i3i300000000000000000000000
χ724-4-44-2-24-42222-2-21-1-1100-22-2200−2323−2i32i31-10000−3i3i−3i3i000000000000003−3i3−i300000000000000000000000
χ734-4-44-2-24-42222-2-21-1-1100-22-2200−23232i3−2i31-100003i−3i3i−3i000000000000003−3−i3i300000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7588-8-88-4004-4-88-84-44-44000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4800-884-44-8-44-44000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-4004-44-4442-22-2000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ7888-8-8-4-4004-44-4442-22-20000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ798-88-8-4-400-44-444422-2-242−42000000000000−2222−222222−2−200000000000000000000000000000000000000000
χ808-88-8-4-400-44-444422-2-2−424200000000000022−2222−22−2−22200000000000000000000000000000000000000000
χ818-8-88-4-4-884444-4-42-2-22004-44-4000000-220000000000000000000000000000000000000000000000000

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