Finite Group Databasebeta

← Group #11889449

Character table — Group #11889449

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order12223344666666366612121212224481212121212122424242424242424444444466881212121212121212448121212121212242424242488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-111111-1-1-1-11111111-11-1-1-111111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111-1-111-1-111-1111-1-11-1-11111-1-1-1-1-1-111-1-11-11-1
χ41111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1111-1-111-1-1-1-11-1-1-1-111-1-11111-11
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-11111111-1-11-1-1-111-1-1-111-1111-1-111-1-111-1-11-1
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-111-11-1-1-11111-1-1-1-111-1-1-11-11
χ7111111111111111111111111-1-11-1-1-1-1111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-1-1111
χ8111111111111111111111111-1-11-1-1-1-11111111111-1-1111-1-1111111-1-1-1-1-1-1-1-11-1-111-1-111111111-1-1-1-1
χ91111111111111111111111-1-1111111111111111111111-1-1-1-1-11111111111-11-1111-1-1-1-1-111-1-1-1-1-11-1-1
χ101111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ111111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-111-1111-1-1-1-11111-11111-1-1-1-111-1-1-11
χ121111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1111-1-1-111-1-1-1-111111111-1-1-111-1
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11-1-1-1111-1111-1-1-1-1111111-1-11-1-11
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-111111-1-11-1-1-111-1-1-1-111111-1
χ151111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1111111-1-1
χ161111111111111111111111-1-1-1-11-1-1-1-11111111111-1-111-111-1-11111-1-1-1-1-1-11-1-1-1-11-111-1-111-1-1-1-11-111
χ17222222-2-22222222222-2-2-2-2220000000-2-200000000002-2-20022002200000000000-2-2000000-22000000
χ18222222-2-22222222222-2-2-2-2220000000-2-20000000000-22-2002200-2-2000000000002-20000002-2000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-200000000002-2200-2-2002200000000000-220000002-2000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-20000000000-22200-2-200-2-20000000000022000000-22000000
χ2122222-122-12-122-1-1-1-1-12-1-122222222-1-1-1-1-1-122-1-1-1-10000222-1-100002-1-1-1-1-1202000-1-1-1-1-1000000-1000
χ2222222-122-12-122-1-1-1-1-12-1-12222-2-22211-1-111-2-2111100002-2-2-1-10000-2-1-1-11120-2000-11111000000-1000
χ2322222-122-12-122-1-1-1-1-12-1-1222-22-2-2-2-1-1-1-111-2-211110000222-1-100002111-1-1-20-2000-1-1-1110000001000
χ2422222-122-12-122-1-1-1-1-12-1-1222-2-22-2-211-1-1-1-122-1-1-1-100002-2-2-1-10000-211111-202000-111-1-10000001000
χ2522222-122-12-122-1-1-1-1-12-1-12-2-222222-1-1-1-1-1-122-1-1-1-10000-2-2-21100002-1-1-1-1-1-20-2000111110000001000
χ2622222-122-12-122-1-1-1-1-12-1-12-2-22-2-22211-1-111-2-211110000-222110000-2-1-1-111-2020001-1-1-1-10000001000
χ2722222-122-12-122-1-1-1-1-12-1-12-2-2-22-2-2-2-1-1-1-111-2-211110000-2-2-21100002111-1-1202000111-1-1000000-1000
χ2822222-122-12-122-1-1-1-1-12-1-12-2-2-2-22-2-211-1-1-1-122-1-1-1-10000-222110000-21111120-20001-1-111000000-1000
χ292222-12222-12-1-12-1-1-1-1-122-100222-1-122-1-122-1-1-1-1-1-122220000022-1-1-12-1-1-1-1020-1-1-100000-1-100000-100
χ302222-12222-12-1-12-1-1-1-1-122-100222-1-122-1-122-1-1-1-1-1-1-2-2-2-200000-2-211-12-1-1-1-10-20111000001100000100
χ312222-12222-12-1-12-1-1-1-1-122-1002-2-2-1-1-2-2-1-1-2-2111111222200000-2-2-1-112-1-1110-20-1-1-1000001100000100
χ322222-12222-12-1-12-1-1-1-1-122-1002-2-2-1-1-2-2-1-1-2-2111111-2-2-2-200000221112-1-11102011100000-1-100000-100
χ332222-12222-12-1-12-1-1-1-1-122-100-22-21122-1-1-2-211111122-2-2000002211-1-211-1-10-20-1-1100000-1-100000100
χ342222-12222-12-1-12-1-1-1-1-122-100-22-21122-1-1-2-2111111-2-22200000-2-2-1-1-1-211-1-102011-1000001100000-100
χ352222-12222-12-1-12-1-1-1-1-122-100-2-2211-2-2-1-122-1-1-1-1-1-122-2-200000-2-2111-21111020-1-11000001100000-100
χ362222-12222-12-1-12-1-1-1-1-122-100-2-2211-2-2-1-122-1-1-1-1-1-1-2-2220000022-1-11-211110-2011-100000-1-100000100
χ372-2-22222-2-2-2-2-2222-2-222-22-20000000002-2000000002i−2i0002-20000000000000002i−2i002-20000002i−2i0000
χ382-2-22222-2-2-2-2-2222-2-222-22-20000000002-2000000002i−2i000-220000000000000002i−2i00-22000000−2i2i0000
χ392-2-22222-2-2-2-2-2222-2-222-22-20000000002-200000000−2i2i0002-2000000000000000−2i2i002-2000000−2i2i0000
χ402-2-22222-2-2-2-2-2222-2-222-22-20000000002-200000000−2i2i000-22000000000000000−2i2i00-220000002i−2i0000
χ4144444-2-4-4-24-244-2-2-2-2-2-422-444000000022000000000000-400-2-20000000000000000200000000000000
χ4244444-2-4-4-24-244-2-2-2-2-2-422-4-4-4000000022000000000000400220000000000000000-200000000000000
χ434444-24-4-44-24-2-24-2-2-2-22-4-420000000002200000000004-40000000-2-2000000000002000000000000000
χ444444-24-4-44-24-2-24-2-2-2-22-4-42000000000220000000000-4400000002200000000000-2000000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-2-2-211-2-2-2-211110000000000000-2-21111000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-4-2-222112222-1-1-1-100000000000002-211-1-1000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-422-2-2112222-1-1-1-10000000000000-22-1-111000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-44222211-2-2-2-21111000000000000022-1-1-1-1000000000000000000000
χ4944-4-444004-4-44-4-444-4-400004-40000000000000000000000004-40000000000000000000000000000000
χ5044-4-444004-4-44-4-444-4-40000-44000000000000000000000000-440000000000000000000000000000000
χ5144-4-44-200-2-424-42-2-22200004-4000000000i6−i600i6i6−i6−i60000000-220000000000000000000i6−i60000000000
χ5244-4-44-200-2-424-42-2-22200004-4000000000−i6i600−i6−i6i6i60000000-220000000000000000000−i6i60000000000
χ5344-4-44-200-2-424-42-2-2220000-44000000000i6−i600i6i6−i6−i600000002-20000000000000000000−i6i60000000000
χ5444-4-44-200-2-424-42-2-2220000-44000000000−i6i600−i6−i6i6i600000002-20000000000000000000i6−i60000000000
χ554-44-44400-444-4-4-44-44-40000000000000000000000000000000022−22000000000000000000022−2200000000
χ564-44-44400-444-4-4-44-44-400000000000000000000000000000000−22220000000000000000000−222200000000
χ574-44-4-2400-4-2422-4-22-2200000000000000000i6−i6i6−i6i6−i600000000022−22−2i32i300000000000000000−2200000000
χ584-44-4-2400-4-2422-4-22-2200000000000000000i6−i6i6−i6i6−i6000000000−22222i3−2i3000000000000000002−200000000
χ594-44-4-2400-4-2422-4-22-2200000000000000000−i6i6−i6i6−i6i600000000022−222i3−2i300000000000000000−2200000000
χ604-44-4-2400-4-2422-4-22-2200000000000000000−i6i6−i6i6−i6i6000000000−2222−2i32i3000000000000000002−200000000
χ614-4-4444-44-4-4-4-4444-4-44-44-44000000000-44000000000000000000000000000000000000000000000000
χ624-4-444-24-42-42-44-2-222-242-2-4000000000-2200000000000004-40000000000000000000-22000000000000
χ634-4-444-24-42-42-44-2-222-242-2-4000000000-220000000000000-4400000000000000000002-2000000000000
χ644-4-444-2-442-42-44-2-222-2-4-2240000000−2i32i32-20000000000000000000000000−2i32i3000000000000000000000
χ654-4-444-2-442-42-44-2-222-2-4-22400000002i3−2i32-200000000000000000000000002i3−2i3000000000000000000000
χ664-4-44-244-4-42-42-24-222-2-2-442000000000-22000000004i−4i00000000000000000000−2i2i0000000000000000
χ674-4-44-244-4-42-42-24-222-2-2-442000000000-2200000000−4i4i000000000000000000002i−2i0000000000000000
χ684-4-44-24-44-42-42-24-222-224-4-200000−2i32i3002-200000000000000000000000−2i32i300000000000000000000000
χ694-4-44-24-44-42-42-24-222-224-4-2000002i3−2i3002-2000000000000000000000002i3−2i300000000000000000000000
χ704-4-44-2-2-442222-2-21-1-112-22-200000−2i32i3−2i32i3-1100003-3-33000000000000000i3−i3i3−i3000000000000000000000
χ714-4-44-2-2-442222-2-21-1-112-22-200000−2i32i32i3−2i3-110000-333-3000000000000000i3−i3−i3i3000000000000000000000
χ724-4-44-2-2-442222-2-21-1-112-22-2000002i3−2i3−2i32i3-110000-333-3000000000000000−i3i3i3−i3000000000000000000000
χ734-4-44-2-2-442222-2-21-1-112-22-2000002i3−2i32i3−2i3-1100003-3-33000000000000000−i3i3−i3i3000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-480084-8-44-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-444-44422-2-20000000000000002i6−2i600−i6−i6i6i60000000000000000000000000000000000000000
χ7788-8-8-4-400-444-44422-2-2000000000000000−2i62i600i6i6−i6−i60000000000000000000000000000000000000000
χ788-88-88-40048-4-8-84-44-44000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-4-44442-22-2000000000000000002i6−2i6−i6i6−i6i60000000000000000000000000000000000000000
χ808-88-8-4-4004-4-44442-22-200000000000000000−2i62i6i6−i6i6−i60000000000000000000000000000000000000000
χ818-8-88-4-48-84444-4-42-2-22-44-440000000002-2000000000000000000000000000000000000000000000000

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