Finite Group Databasebeta

← Group #11883983

Character table — Group #11883983

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order1222334466666622366612121212224666681212242424242424242424466668866121212122224666681212242424244444886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-1-1-111-1-111111111-1-1-1-11111-111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111-11111-111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-11-11-11111-111-1-1-1-111-1-1-1-1-1-11
χ411111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-11-1-11-1-111-11-1-1-111-1-11111-11-1
χ5111111111111111111111111-1-111111111111111111-1111-1-111111111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ7111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1-1-111-111-1-11-1111-1-1-1-111111-1-1
χ8111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11-1-1111111-1-1-1-1111
χ911111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111-11-11-1-1-1-1-111-1-1-1-11111-1-111-1
χ1011111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-11111-1-11111-111-111-1-1-11-1-1-111-1-1-1-1111-11
χ1111111111111111-1-11111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-111-1-1-111
χ1311111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111111-1-11-1-1111-1111-1-1-1-1-1-111-111
χ1411111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-111111-1-111111111-1-1-1-1-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-1111111111111-1111-1-111-1-1-1-1-1-111-1-1-1-111-1-11-1-111-1-111-1-11-11
χ1611111111111111-1-111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-11111-1
χ17222222-2-2222222002222-2-2-2-222000000-2-2000000002-2-2222200000000000000000-2-20000-220000000
χ18222222-2-2222222002222-2-2-2-222000000-2-200000000-2-22-2-22200000000000000000-2200002-20000000
χ19222222-2-2222222002222-2-2-2-2-2-2000000-2-20000000022-222-2-2000000000000000002-200002-20000000
χ20222222-2-2222222002222-2-2-2-2-2-2000000-2-200000000-222-2-2-2-200000000000000000220000-220000000
χ2122222-1222-12-1-1222-1-1-1-1-12-1222222-1-12-1-122-1-1-1-1-1-102000-1-100-1-12-1-1-1220000-1-12-10-1-100000000-100
χ2222222-1222-12-1-1222-1-1-1-1-12-1222-222-1-1-2-1-1-2-211111102000-1-100-1-1-21112-20000-1-1-2-101100000000100
χ2322222-1222-12-1-1222-1-1-1-1-12-12-2-2222-1-12-1-122-1-1-1-1-1-10-20001100-1-12-1-1-1-2-2000011-2101100000000100
χ2422222-1222-12-1-1222-1-1-1-1-12-12-2-2-222-1-1-2-1-1-2-21111110-20001100-1-1-2111-22000011210-1-100000000-100
χ2522222-1222-12-1-12-2-2-1-1-1-1-12-12222-2-211-2-1-1-2-211111102000-1-100112-1-1-1-22000011-2-101100000000-100
χ2622222-1222-12-1-12-2-2-1-1-1-1-12-1222-2-2-2112-1-122-1-1-1-1-1-102000-1-10011-2111-2-20000112-10-1-100000000100
χ2722222-1222-12-1-12-2-2-1-1-1-1-12-12-2-22-2-211-2-1-1-2-21111110-20001100112-1-1-12-20000-1-1210-1-100000000100
χ2822222-1222-12-1-12-2-2-1-1-1-1-12-12-2-2-2-2-2112-1-122-1-1-1-1-1-10-2000110011-2111220000-1-1-2101100000000-100
χ292222-1222-12-122-122-1-1-1-12-12-1002-1-1222-1-1-1-122-1-1-1-1202-1-10022-1-1-12-1-10022-1-10000-100-1-10000000-10
χ302222-1222-12-122-122-1-1-1-12-12-1002-1-1222-1-1-1-122-1-1-1-1-20-21100-2-2-1-1-12-1-100-2-211000010011000000010
χ312222-1222-12-122-122-1-1-1-12-12-100-2-1-122-2-1-111-2-21111202-1-100-2-2-1-11-211002-2-1-10000-10011000000010
χ322222-1222-12-122-122-1-1-1-12-12-100-2-1-122-2-1-111-2-21111-20-2110022-1-11-21100-22110000100-1-10000000-10
χ332222-1222-12-122-1-2-2-1-1-1-12-12-100211-2-2-2-1-111-2-21111202-1-100-2-211-12-1-100-22110000-100110000000-10
χ342222-1222-12-122-1-2-2-1-1-1-12-12-100211-2-2-2-1-111-2-21111-20-211002211-12-1-1002-2-1-10000100-1-1000000010
χ352222-1222-12-122-1-2-2-1-1-1-12-12-100-211-2-22-1-1-1-122-1-1-1-1202-1-10022111-21100-2-2110000-100-1-1000000010
χ362222-1222-12-122-1-2-2-1-1-1-12-12-100-211-2-22-1-1-1-122-1-1-1-1-20-21100-2-2111-2110022-1-10000100110000000-10
χ372-2-2222-22-2-2-2-2222-22-22-2-2-2220002-22-202-2000000000000000002-20000000000000000000002-22-2000
χ382-2-2222-22-2-2-2-2222-22-22-2-2-2220002-22-202-2000000000000000002-2000000000000000000000-22-22000
χ392-2-2222-22-2-2-2-222-222-22-2-2-222000-22-2202-200000000000000000-220000000000000000000002-2-22000
χ402-2-2222-22-2-2-2-222-222-22-2-2-222000-22-2202-200000000000000000-22000000000000000000000-222-2000
χ4144444-2-4-44-24-2-2400-2-2-2-22-42-44400000022000000000-4000-2-200000000000000000200000000000000
χ4244444-2-4-44-24-2-2400-2-2-2-22-42-4-4-40000002200000000040002200000000000000000-200000000000000
χ434444-24-4-4-24-244-200-2-2-2-2-42-4200000000220000000040-4-2-20000000000000000000020000000000000
χ444444-24-4-4-24-244-200-2-2-2-2-42-42000000002200000000-4042200000000000000000000-20000000000000
χ454444-2-244-2-2-2-2-2-2441111-2-2-2-2004-2-2-2-2411-2-2-2-2111100000000011-2-211000000000000000000000000
χ464444-2-244-2-2-2-2-2-2441111-2-2-2-200-4-2-2-2-2-4112222-1-1-1-10000000001122-1-1000000000000000000000000
χ474444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20042222-4112222-1-1-1-1000000000-1-1-2-211000000000000000000000000
χ484444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200-42222411-2-2-2-21111000000000-1-122-1-1000000000000000000000000
χ4944-4-4440044-4-4-4-40044-4-400000000000000000000000000000−2i22i20000000000000000000−2i22i2000000000
χ5044-4-4440044-4-4-4-40044-4-4000000000000000000000000000002i2−2i200000000000000000002i2−2i2000000000
χ5144-4-4-2400-242-4-4200-2-222000000000000006−60066−6−6000−2i32i300−2i22i20000000000000000000i2−i2000000000
χ5244-4-4-2400-242-4-4200-2-222000000000000006−60066−6−60002i3−2i3002i2−2i20000000000000000000−i2i2000000000
χ5344-4-4-2400-242-4-4200-2-22200000000000000−6600−6−666000−2i32i3002i2−2i20000000000000000000−i2i2000000000
χ5444-4-4-2400-242-4-4200-2-22200000000000000−6600−6−6660002i3−2i300−2i22i20000000000000000000i2−i2000000000
χ554-44-44400-4-444-4-4004-4-4400004-40000000000000000000004-400000000000000000000000000000000
χ564-44-44400-4-444-4-4004-4-440000-44000000000000000000000-4400000000000000000000000000000000
χ574-44-44-200-424-22-400-222-200004-40000000000i6−i6i6−i6i6−i600000-220000000000000000000i6−i600000000000
χ584-44-44-200-424-22-400-222-200004-40000000000−i6i6−i6i6−i6i600000-220000000000000000000−i6i600000000000
χ594-44-44-200-424-22-400-222-20000-440000000000i6−i6i6−i6i6−i6000002-20000000000000000000−i6i600000000000
χ604-44-44-200-424-22-400-222-20000-440000000000−i6i6−i6i6−i6i6000002-20000000000000000000i6−i600000000000
χ614-4-44444-4-4-4-4-444004-44-444-4-400000000-4400000000000000000000000000000000000000000000000
χ624-4-444-24-4-42-42-2400-22-22-242-4000000002-200000000000000000000000000000−2i32i30000000000000000
χ634-4-444-24-4-42-42-2400-22-22-242-4000000002-2000000000000000000000000000002i3−2i30000000000000000
χ644-4-444-2-44-42-42-244-4-22-222-4-240004-4-220-2200000000000000000-220000000000000000000000000000
χ654-4-444-2-44-42-42-24-44-22-222-4-24000-442-20-22000000000000000002-20000000000000000000000000000
χ664-4-44-244-42-42-44-200-22-224-2-42000000002-2000000000000000000000000000−2i32i3000000000000000000
χ674-4-44-244-42-42-44-200-22-224-2-42000000002-20000000000000000000000000002i3−2i3000000000000000000
χ684-4-44-24-442-42-44-24-4-22-22-424-2000-224-40-2200000000000000000-220000000000000000000000000000
χ694-4-44-24-442-42-44-2-44-22-22-424-20002-2-440-22000000000000000002-20000000000000000000000000000
χ704-4-44-2-2-442222-2-24-41-11-122-2-2000-22-2201-100003i−3i−3i3i0000000001-1003i−3i000000000000000000000000
χ714-4-44-2-2-442222-2-24-41-11-122-2-2000-22-2201-10000−3i3i3i−3i0000000001-100−3i3i000000000000000000000000
χ724-4-44-2-2-442222-2-2-441-11-122-2-20002-22-201-100003i−3i−3i3i000000000-1100−3i3i000000000000000000000000
χ734-4-44-2-2-442222-2-2-441-11-122-2-20002-22-201-10000−3i3i3i−3i000000000-11003i−3i000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-88-4008-4-844-800-4-4440000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-4-444440022-2-20000000000000026−2600−6−666000000000000000000000000000000000000000
χ7788-8-8-4-400-4-444440022-2-200000000000000−26260066−6−6000000000000000000000000000000000000000
χ788-88-8-48004-8-48-8400-444-40000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-40044-4-444002-2-2200000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ808-88-8-4-40044-4-444002-2-220000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000
χ818-8-88-4-48-84444-4-4002-22-2-4-44400000000-2200000000000000000000000000000000000000000000000

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