Finite Group Databasebeta

← Group #11884492

Character table — Group #11884492

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order1222334466666636661212121244246681212121224242424242424242222444881212121266612121244666681212242424244488121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111-1-11111-1-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-11111111-1-1-11-111-1-1-111-1-1-1-111-1-11-11-1
χ41111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1111-1-1-111-11-1-1-1-1-1-1-111-1-11111-11
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1111-111111-1-1-1-1-1-1-111-1-1-11-11
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1111-1-1-1111-111-1-111-1-111-1-11-1
χ7111111111111111111111111-1-1-1-11-1-111111111111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11-1-111111111-1-1-1-1
χ8111111111111111111111111-1-1-1-11-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-11-1-111111-1-1-1-1-1-1-1111
χ91111111111111111111111-1-111111111111111111-1-1-1111111-1-111111111-111-1-1-1-111-1-111-1-1-1-1-11-1-1
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
χ111111111111111111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-11-11111111-1-1-1-111-1-1-11
χ121111111111111111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-1-1-11-1-1111-1-1111111-1-1-111-1
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1111111-1-1-11-1-111-1-1-1-111111-1
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1111111111-1-11-1-11
χ151111111111111111111111-1-1-1-1-1-11-1-11111111111-11111-1-111-1-111-1-1-1-1-1-11-11-111-1-1-1-1-111-1-1-1-11-111
χ161111111111111111111111-1-1-1-1-1-11-1-11111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1-1111111-1-1
χ17222222-2-22222222222-2-2-2-2220000000-2-200000000-2002-2000022-2-2000000002-2000000000-22000000
χ18222222-2-22222222222-2-2-2-2220000000-2-200000000-200-220000222200000000-2-20000000002-2000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-2000000002002-20000-2-2-2-200000000220000000002-2000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-200000000200-220000-2-22200000000-22000000000-22000000
χ2122222-1222-12-1-12-1-1-1-1-12-122222222-1-1-1-122-1-1-1-1-1-1222000000-1-100-1-1-12-1-1200-1-1-1200-1-1000000-1000
χ2222222-1222-12-1-12-1-1-1-1-12-12222-222-211-1-1-2-21111112-2-2000000-1-100-1-1-1-211200-111-20011000000-1000
χ2322222-1222-12-1-12-1-1-1-1-12-1222-22-2-2-2-1-1-1-1-2-2111111222000000-1-1001112-1-1-200-1-1-1-200110000001000
χ2422222-1222-12-1-12-1-1-1-1-12-1222-2-2-2-2211-1-122-1-1-1-1-1-12-2-2000000-1-100111-211-200-111200-1-10000001000
χ2522222-1222-12-1-12-1-1-1-1-12-12-2-222222-1-1-1-122-1-1-1-1-1-1-2-2-20000001100-1-1-12-1-1-200111-200110000001000
χ2622222-1222-12-1-12-1-1-1-1-12-12-2-22-222-211-1-1-2-2111111-2220000001100-1-1-1-211-2001-1-1200-1-10000001000
χ2722222-1222-12-1-12-1-1-1-1-12-12-2-2-22-2-2-2-1-1-1-1-2-2111111-2-2-200000011001112-1-1200111200-1-1000000-1000
χ2822222-1222-12-1-12-1-1-1-1-12-12-2-2-2-2-2-2211-1-122-1-1-1-1-1-1-2220000001100111-2112001-1-1-20011000000-1000
χ292222-1222-12-122-1-1-1-1-12-12-10022-1-1222-1-1-1-122-1-1-1-100022222200-1-12-1-1-1-1-102-10000-1-100-1-100000-100
χ302222-1222-12-122-1-1-1-1-12-12-10022-1-1222-1-1-1-122-1-1-1-1000-2-2-2-2-2-200112-1-1-1-1-10-21000011001100000100
χ312222-1222-12-122-1-1-1-1-12-12-1002-2-1-1-2-2-2-1-111-2-211110002222-2-200-1-12-1-11110-2-10000-1-1001100000100
χ322222-1222-12-122-1-1-1-1-12-12-1002-2-1-1-2-2-2-1-111-2-21111000-2-2-2-22200112-1-111102100001100-1-100000-100
χ332222-1222-12-122-1-1-1-1-12-12-100-2211-222-1-111-2-2111100022-2-2-2-200-1-1-211-1-1-102-1000011001100000-100
χ342222-1222-12-122-1-1-1-1-12-12-100-2211-222-1-111-2-21111000-2-222220011-211-1-1-10-210000-1-100-1-100000100
χ352222-1222-12-122-1-1-1-1-12-12-100-2-2112-2-2-1-1-1-122-1-1-1-100022-2-22200-1-1-2111110-2-100001100-1-100000100
χ362222-1222-12-122-1-1-1-1-12-12-100-2-2112-2-2-1-1-1-122-1-1-1-1000-2-222-2-20011-2111110210000-1-1001100000-100
χ372-22-222-22-2-2-22-222-2-22-2-2220000000002-20000000002-2002-200000000000000002-202-20000002-20000
χ382-22-222-22-2-2-22-222-2-22-2-2220000000002-20000000002-200-2200000000000000002-20-22000000-220000
χ392-22-222-22-2-2-22-222-2-22-2-2220000000002-2000000000-22002-20000000000000000-2202-2000000-220000
χ402-22-222-22-2-2-22-222-2-22-2-2220000000002-2000000000-2200-220000000000000000-220-220000002-20000
χ4144444-2-4-44-24-2-24-2-2-2-22-42-44400000002200000000-400000000-2-200000000000200000000000000000
χ4244444-2-4-44-24-2-24-2-2-2-22-42-4-4-4000000022000000004000000002200000000000-200000000000000000
χ434444-24-4-4-24-244-2-2-2-2-2-42-4200000000022000000000004-40000002200000000-2000000000000000000
χ444444-24-4-4-24-244-2-2-2-2-2-42-420000000002200000000000-44000000-2-2000000002000000000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-20044-2-24-2-211-2-2-2-211110000000000000-211-211000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-2-2-422112222-1-1-1-10000000000000-2112-1-1000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-4422-4-2-2112222-1-1-1-100000000000002-1-1-211000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-42242211-2-2-2-2111100000000000002-1-12-1-1000000000000000000000
χ4944-4-4440044-4-4-4-444-4-400004i−4i000000000000000000000000004i−4i00000000000000000000000000000
χ5044-4-4440044-4-4-4-444-4-40000−4i4i00000000000000000000000000−4i4i00000000000000000000000000000
χ5144-4-44-2004-2-422-4-2-22200004i−4i000000000006−666−6−6000000000−2i2i00000000000000000i6−i60000000000
χ5244-4-44-2004-2-422-4-2-22200004i−4i00000000000−66−6−666000000000−2i2i00000000000000000−i6i60000000000
χ5344-4-44-2004-2-422-4-2-2220000−4i4i000000000006−666−6−60000000002i−2i00000000000000000−i6i60000000000
χ5444-4-44-2004-2-422-4-2-2220000−4i4i00000000000−66−6−6660000000002i−2i00000000000000000i6−i60000000000
χ554-44-4444-4-4-4-44-444-4-4444-4-4000000000-44000000000000000000000000000000000000000000000000
χ564-44-44-24-4-42-4-224-222-2-242-40000000−2i32i32-20000000000000000000000000−2i32i3000000000000000000000
χ574-44-44-24-4-42-4-224-222-2-242-400000002i3−2i32-200000000000000000000000002i3−2i3000000000000000000000
χ584-44-44-2-44-42-4-224-222-22-4-24000000000-220000000004-400000000000000000000-22000000000000000
χ594-44-44-2-44-42-4-224-222-22-4-24000000000-22000000000-44000000000000000000002-2000000000000000
χ604-44-4-244-42-424-4-2-222-24-2-420000−2i32i30002-20000000000000000000000−2i32i3000000000000000000000000
χ614-44-4-244-42-424-4-2-222-24-2-4200002i3−2i30002-200000000000000000000002i3−2i3000000000000000000000000
χ624-44-4-24-442-424-4-2-222-2-424-2000000000-2200000000000004-40000000000000000000-22000000000000
χ634-44-4-24-442-424-4-2-222-2-424-2000000000-220000000000000-4400000000000000000002-2000000000000
χ644-44-4-2-24-4222-22-21-1-11-2-2220000−2i32i30−2i32i3-1100003-33-300000000000000i3−i30i3−i3000000000000000000000
χ654-44-4-2-24-4222-22-21-1-11-2-2220000−2i32i302i3−2i3-110000-33-3300000000000000i3−i30−i3i3000000000000000000000
χ664-44-4-2-24-4222-22-21-1-11-2-22200002i3−2i30−2i32i3-110000-33-3300000000000000−i3i30i3−i3000000000000000000000
χ674-44-4-2-24-4222-22-21-1-11-2-22200002i3−2i302i3−2i3-1100003-33-300000000000000−i3i30−i3i3000000000000000000000
χ684-4-444400-4-44-44-44-44-400000000000000000000000000000022−2200000000000000000000022−2200000000
χ694-4-444400-4-44-44-44-44-4000000000000000000000000000000−2222000000000000000000000−222200000000
χ704-4-44-24002-4-2-442-22-220000000000000006−6006−6−66000000022−220023−2300000000000000000−2200000000
χ714-4-44-24002-4-2-442-22-220000000000000006−6006−6−660000000−222200−2323000000000000000002−200000000
χ724-4-44-24002-4-2-442-22-22000000000000000−6600−666−6000000022−2200−232300000000000000000−2200000000
χ734-4-44-24002-4-2-442-22-22000000000000000−6600−666−60000000−22220023−23000000000000000002−200000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4800-484-8-84-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-4-4444422-2-20000000000000000026−26−6−6660000000000000000000000000000000000000000
χ7788-8-8-4-400-4-4444422-2-200000000000000000−262666−6−60000000000000000000000000000000000000000
χ788-88-8-4-4-88444-44-42-2-2244-4-40000000002-2000000000000000000000000000000000000000000000000
χ798-8-888-400-8484-4-8-44-44000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-40044-44-442-22-200000000000000026−2600−666−60000000000000000000000000000000000000000
χ818-8-88-4-40044-44-442-22-2000000000000000−2626006−6−660000000000000000000000000000000000000000

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