Finite Group Databasebeta

← Group #11884638

Character table — Group #11884638

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order1222334466666636661212121244448121212121212242424242424242422244448812121212121212121212446668121212242424242488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-11111-1-1-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-11111-1-111111-111-1-11-11-1-1-1111-1-1-1-111-1-11-11-1
χ41111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1111-111-1-1111-1-1-1-1-1-1-1-111-1-11111-11
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111-11-1-111-11111-11-1-1-1-1-1-111-1-1-11-11
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-111-11-1-111-1-1111-1-111-1-111-1-111-1-11-1
χ7111111111111111111111111-1-11-1-1-1-111111111111-1-111-1-1111111-1-1-1-1-1-1-1-11-1-111-1-111111111-1-1-1-1
χ8111111111111111111111111-1-11-1-1-1-111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-1-1111
χ91111111111111111111111-1-111111111111111111-1-1-111111111-1-1111111-11-1-1-1-1111-1-111-1-1-1-1-11-1-1
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
χ111111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1111111-1-111-1-11-111-1-1-1-1-111111111-1-1-1-111-1-1-11
χ121111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-111-1-1-11-1111-1-1-1111111-1-1-111-1
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-1-11111-1-1-111-1-111-1-1-1-111111-1
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1111-1-1-1-11-111111111-1-11-1-11
χ151111111111111111111111-1-1-1-11-1-1-1-11111111111-11111-1-11111-1-1-1-1-1-1-1-11-1-111-11-1-1-1-111-1-1-1-11-111
χ161111111111111111111111-1-1-1-11-1-1-1-11111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1111111-1-1
χ17222222-2-22222222222-2-2-2-2220000000-2-200000000-2002-20000222200000000-2000-20000002-2000000
χ18222222-2-22222222222-2-2-2-2220000000-2-200000000-200-220000-2-22200000000-20002000000-22000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-2000000002002-2000022-2-2000000002000-2000000-22000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-200000000200-220000-2-2-2-200000000200020000002-2000000
χ2122222-122-1-122-12-1-1-1-12-1-122222222-1-1-1-1-1-122-1-1-1-122200000000-1-1-12-1-1-1-120-1-1-12000-1-1000000-1000
χ2222222-122-1-122-12-1-1-1-12-1-12222-2-22211-1-111-2-211112-2-200000000-1-1-1-2-1-11120-111-200011000000-1000
χ2322222-122-1-122-12-1-1-1-12-1-1222-22-2-2-2-1-1-1-111-2-2111122200000000-1-11211-1-1-20-1-1-1-2000110000001000
χ2422222-122-1-122-12-1-1-1-12-1-1222-2-22-2-211-1-1-1-122-1-1-1-12-2-200000000-1-11-21111-20-1112000-1-10000001000
χ2522222-122-1-122-12-1-1-1-12-1-12-2-222222-1-1-1-1-1-122-1-1-1-1-2-2-20000000011-12-1-1-1-1-20111-2000110000001000
χ2622222-122-1-122-12-1-1-1-12-1-12-2-22-2-22211-1-111-2-21111-2220000000011-1-2-1-111-201-1-12000-1-10000001000
χ2722222-122-1-122-12-1-1-1-12-1-12-2-2-22-2-2-2-1-1-1-111-2-21111-2-2-200000000111211-1-1201112000-1-1000000-1000
χ2822222-122-1-122-12-1-1-1-12-1-12-2-2-2-22-2-211-1-1-1-122-1-1-1-1-22200000000111-21111201-1-1-200011000000-1000
χ292222-122222-1-12-1-1-1-1-1-122-100222-1-122-1-122-1-1-1-1-1-1000222222-1-1002-1-1-1-1-1020000-1-1-100-1-100000-100
χ302222-122222-1-12-1-1-1-1-1-122-100222-1-122-1-122-1-1-1-1-1-1000-2-2-2-2-2-211002-1-1-1-1-10-20000111001100000100
χ312222-122222-1-12-1-1-1-1-1-122-1002-2-2-1-1-2-2-1-1-2-21111110002222-2-2-1-10021-1-1110-20000-1-1-1001100000100
χ322222-122222-1-12-1-1-1-1-1-122-1002-2-2-1-1-2-2-1-1-2-2111111000-2-2-2-222110021-1-11102000011100-1-100000-100
χ332222-122222-1-12-1-1-1-1-1-122-100-22-21122-1-1-2-211111100022-2-2-2-2-1-100-2-111-1-1020000-111001100000-100
χ342222-122222-1-12-1-1-1-1-1-122-100-22-21122-1-1-2-2111111000-2-222221100-2-111-1-10-200001-1-100-1-100000100
χ352222-122222-1-12-1-1-1-1-1-122-100-2-2211-2-2-1-122-1-1-1-1-1-100022-2-222-1-100-2111110-20000-11100-1-100000100
χ362222-122222-1-12-1-1-1-1-1-122-100-2-2211-2-2-1-122-1-1-1-1-1-1000-2-222-2-21100-2111110200001-1-1001100000-100
χ372-2-2222-22-2-2-2-2222-2-22-22-22000000000-220000000002-2002-20000000000000002-2002-20000002-20000
χ382-2-2222-22-2-2-2-2222-2-22-22-22000000000-220000000002-200-220000000000000002-200-22000000-220000
χ392-2-2222-22-2-2-2-2222-2-22-22-22000000000-22000000000-22002-2000000000000000-22002-2000000-220000
χ402-2-2222-22-2-2-2-2222-2-22-22-22000000000-22000000000-2200-22000000000000000-2200-220000002-20000
χ4144444-2-4-4-2-244-24-2-2-2-2-422-44400000002200000000-40000000000-2-2000000002000000000000000000
χ4244444-2-4-4-2-244-24-2-2-2-2-422-4-4-400000002200000000400000000002200000000-2000000000000000000
χ434444-24-4-444-2-24-2-2-2-2-22-4-4200000000022000000000004-40000-2-200000000000000200000000000000
χ444444-24-4-444-2-24-2-2-2-2-22-4-420000000002200000000000-4400002200000000000000-200000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-2-2-211-2-2-2-211110000000000000-2-21111000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-4-2-222112222-1-1-1-10000000000000-2211-1-1000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-422-2-2112222-1-1-1-100000000000002-2-1-111000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-44222211-2-2-2-21111000000000000022-1-1-1-1000000000000000000000
χ4944-4-444004-44-4-4-444-4-400000000000000000000000000000022−2200000000000000000000022−2200000000
χ5044-4-444004-44-4-4-444-4-4000000000000000000000000000000−2222000000000000000000000−222200000000
χ5144-4-4-24004-4-22-42-2-22200000000000000000i6−i6i6i6−i6−i6000000022−22−2i32i30000000000000000000−2200000000
χ5244-4-4-24004-4-22-42-2-22200000000000000000i6−i6i6i6−i6−i60000000−22222i3−2i300000000000000000002−200000000
χ5344-4-4-24004-4-22-42-2-22200000000000000000−i6i6−i6−i6i6i6000000022−222i3−2i30000000000000000000−2200000000
χ5444-4-4-24004-4-22-42-2-22200000000000000000−i6i6−i6−i6i6i60000000−2222−2i32i300000000000000000002−200000000
χ554-44-44400-44-44-4-44-44-400004i−4i00000000000000000000000000004i−4i000000000000000000000000000
χ564-44-44400-44-44-4-44-44-40000−4i4i0000000000000000000000000000−4i4i000000000000000000000000000
χ574-44-44-2002-2-442-4-22-2200004i−4i0000000006−6006−66−600000000000−2i2i000000000000000i6−i60000000000
χ584-44-44-2002-2-442-4-22-2200004i−4i000000000−6600−66−6600000000000−2i2i000000000000000−i6i60000000000
χ594-44-44-2002-2-442-4-22-220000−4i4i0000000006−6006−66−6000000000002i−2i000000000000000−i6i60000000000
χ604-44-44-2002-2-442-4-22-220000−4i4i000000000−6600−66−66000000000002i−2i000000000000000i6−i60000000000
χ614-4-44444-4-4-4-4-4444-4-444-44-40000000004-4000000000000000000000000000000000000000000000000
χ624-4-444-24-422-4-4-24-222-242-2-40000000−2i32i3-220000000000000000000000000−2i32i3000000000000000000000
χ634-4-444-24-422-4-4-24-222-242-2-400000002i3−2i3-2200000000000000000000000002i3−2i3000000000000000000000
χ644-4-444-2-4422-4-4-24-222-2-4-2240000000002-20000000004-40000000000000000000-220000000000000000
χ654-4-444-2-4422-4-4-24-222-2-4-2240000000002-2000000000-4400000000000000000002-20000000000000000
χ664-4-44-244-4-4-4224-2-222-2-2-4420000023−2300-220000000000000000000000023−2300000000000000000000000
χ674-4-44-244-4-4-4224-2-222-2-2-44200000−232300-2200000000000000000000000−232300000000000000000000000
χ684-4-44-24-44-4-4224-2-222-224-4-20000000002-200000000000004-40000000000000000000-22000000000000
χ694-4-44-24-44-4-4224-2-222-224-4-20000000002-20000000000000-4400000000000000000002-2000000000000
χ704-4-44-2-24-42222-2-21-1-11-22-220000023−23−2i32i31-100003i−3i−3i3i000000000000000−33i3−i3000000000000000000000
χ714-4-44-2-24-42222-2-21-1-11-22-220000023−232i3−2i31-10000−3i3i3i−3i000000000000000−33−i3i3000000000000000000000
χ724-4-44-2-24-42222-2-21-1-11-22-2200000−2323−2i32i31-10000−3i3i3i−3i0000000000000003−3i3−i3000000000000000000000
χ734-4-44-2-24-42222-2-21-1-11-22-2200000−23232i3−2i31-100003i−3i−3i3i0000000000000003−3−i3i3000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-88-400-448-84-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-44-444422-2-2000000000000000002i6−2i6−i6−i6i6i60000000000000000000000000000000000000000
χ7788-8-8-4-400-44-444422-2-200000000000000000−2i62i6i6i6−i6−i60000000000000000000000000000000000000000
χ788-88-8-4800-884-4-84-44-44000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-44-4442-22-200000000000000026−2600−66−660000000000000000000000000000000000000000
χ808-88-8-4-4004-44-4442-22-2000000000000000−2626006−66−60000000000000000000000000000000000000000
χ818-8-88-4-4-884444-4-42-2-224-44-4000000000-22000000000000000000000000000000000000000000000000

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