Finite Group Databasebeta

← Group #11872820

Character table — Group #11872820

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order122233446666662236661212121246666812122424242424242424222444446688881212661212121244444466121212122424242444121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-11-111-1-111-1-1111111-1-1-1-1-1111-11-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-1-1111-11-1-111-1-111111111-1-1-1-11-1-1-11-111-1-111-1-1-11-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111-11111-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-11111-111-1-1-1-1-1-1-1-1111-1-1-11-11111-1-1-1-111-1-1-1-1-1-1-1-11-111-11-1-1-1-111-1-1-1111
χ7111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11-11111-1-1-1-11-111
χ8111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ911111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-1-1-111111111-1-111-1-1111111-1-1-1-11-1
χ1011111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-11-1-1-1-11111-1-11111-1-1-1-11-1111-1-1-111-1-111-11-11
χ1111111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-11-11111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1111-1-111111-1-11
χ1211111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-11111111111-1-111-1-1-1-1-1-1-1-1111-1
χ1311111111111111-1-111111111-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-11
χ1411111111111111-1-111111111-1-1-1-1-11111111111111-1-1-11-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-11-1
χ1511111111111111-1-111111111-1-1-1-1-111111111111-1-1111-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-111-111-1
χ1611111111111111-1-111111111-1-1-1-1-111111111111-1-11-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11
χ17222222-2-2222222002222-2-2-2-2000000-2-200000000002002-2-222000022000000-2-2220000-2-2000000000000
χ18222222-2-2222222002222-2-2-2-2000000-2-20000000000200-2-22220000-2-200000022-2-200002-2000000000000
χ19222222-2-2222222002222-2-2-2-2000000-2-20000000000-20022-2-2-200002200000022-2-20000-22000000000000
χ20222222-2-2222222002222-2-2-2-2000000-2-20000000000-200-222-2-20000-2-2000000-2-222000022000000000000
χ2122222-122-12-12-1222-1-1-1-12-1-12222-1-12-1-1-1-122-1-1-1-122200020-1-1002200-1-1-12-1-1000002-1-10-100-1-10000-1000
χ2222222-122-12-12-1222-1-1-1-12-1-12222-1-12-1-1-1-122-1-1-1-1-2-2-2000-201100-2-200-1-1-12-1-100000-21101001100001000
χ2322222-122-12-12-1222-1-1-1-12-1-12-222-1-1-2-1-111-2-2111122200020-1-100-2-200-1-11-21100000-2-1-10-1001100001000
χ2422222-122-12-12-1222-1-1-1-12-1-12-222-1-1-2-1-111-2-21111-2-2-2000-2011002200-1-11-211000002110100-1-10000-1000
χ2522222-122-12-12-12-2-2-1-1-1-12-1-122-2-211-2-1-111-2-2111122-2000-201100220011-12-1-100000-2-1-10100-1-100001000
χ2622222-122-12-12-12-2-2-1-1-1-12-1-122-2-211-2-1-111-2-21111-2-2200020-1-100-2-20011-12-1-1000002110-100110000-1000
χ2722222-122-12-12-12-2-2-1-1-1-12-1-12-2-2-2112-1-1-1-122-1-1-1-122-2000-201100-2-200111-211000002-1-10100110000-1000
χ2822222-122-12-12-12-2-2-1-1-1-12-1-12-2-2-2112-1-1-1-122-1-1-1-1-2-2200020-1-1002200111-21100000-2110-100-1-100001000
χ292222-12222-12-12-122-1-1-1-1-122-12-1-1222-1-122-1-1-1-1-1-100022202002200-1-1-1-12-1-1-100002000-10-1-100-1-1000-100
χ302222-12222-12-12-122-1-1-1-1-122-12-1-1222-1-122-1-1-1-1-1-1000-2-2-20-200-2-20011-1-12-1-1-10000-200010110011000100
χ312222-12222-12-12-122-1-1-1-1-122-1-2-1-122-2-1-1-2-21111110002220200-2-200-1-1-1-1-21110000-2000-10-1-10011000100
χ322222-12222-12-12-122-1-1-1-1-122-1-2-1-122-2-1-1-2-2111111000-2-2-20-200220011-1-1-211100002000101100-1-1000-100
χ332222-12222-12-12-1-2-2-1-1-1-1-122-1211-2-2-2-1-1-2-211111100022-20-200220011112-1-1-10000-200010-1-100-1-1000100
χ342222-12222-12-12-1-2-2-1-1-1-1-122-1211-2-2-2-1-1-2-2111111000-2-220200-2-200-1-1112-1-1-100002000-10110011000-100
χ352222-12222-12-12-1-2-2-1-1-1-1-122-1-211-2-22-1-122-1-1-1-1-1-100022-20-200-2-2001111-21110000200010-1-10011000-100
χ362222-12222-12-12-1-2-2-1-1-1-1-122-1-211-2-22-1-122-1-1-1-1-1-1000-2-2202002200-1-111-21110000-2000-101100-1-1000100
χ372-22-2222-2-22-2-22-2002-22-2-22-22000000-22000000002-202i−2i000000000000000002i−2i2i−2i002-2002i−2i0000000000
χ382-22-2222-2-22-2-22-2002-22-2-22-22000000-22000000002-20−2i2i00000000000000000−2i2i−2i2i002-200−2i2i0000000000
χ392-22-2222-2-22-2-22-2002-22-2-22-22000000-2200000000-2202i−2i00000000000000000−2i2i−2i2i00-22002i−2i0000000000
χ402-22-2222-2-22-2-22-2002-22-2-22-22000000-2200000000-220−2i2i000000000000000002i−2i2i−2i00-2200−2i2i0000000000
χ412-22-222-22-22-2-22-22-22-22-22-22-202-22-202-20000000000000000000000002-200002i−2i−2i2i0000000000002i−2i0000
χ422-22-222-22-22-2-22-22-22-22-22-22-202-22-202-20000000000000000000000002-20000−2i2i2i−2i000000000000−2i2i0000
χ432-22-222-22-22-2-22-2-222-22-22-22-20-22-2202-2000000000000000000000000-2200002i−2i−2i2i000000000000−2i2i0000
χ442-22-222-22-22-2-22-2-222-22-22-22-20-22-2202-2000000000000000000000000-220000−2i2i2i−2i0000000000002i−2i0000
χ4544444-2-4-4-24-24-2400-2-2-2-2-422-40000002200000000004000-40-2-20000000000000000000002000000000000
χ4644444-2-4-4-24-24-2400-2-2-2-2-422-4000000220000000000-40004022000000000000000000000-2000000000000
χ474444-24-4-44-24-24-200-2-2-2-22-4-4200000022000000000000040-4000000-2-20000000000000020000000000000
χ484444-24-4-44-24-24-200-2-2-2-22-4-42000000220000000000000-4040000002200000000000000-20000000000000
χ494444-2-244-2-2-2-2-2-2441111-2-2-2-24-2-2-2-2411-2-2-2-21111000000000000000011-2-2110000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-2-2-2-2-4-2-2-2-2-4112222-1-1-1-100000000000000001122-1-10000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-41111-2-2-2-242222-4112222-1-1-1-10000000000000000-1-1-2-2110000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2-42222411-2-2-2-211110000000000000000-1-122-1-10000000000000000000000
χ5344-4-444004-4-4-4-440044-4-400000000000000000000000000000000−2i22i200000000000000000000−2i22i200000000
χ5444-4-444004-4-4-4-440044-4-4000000000000000000000000000000002i2−2i2000000000000000000002i2−2i200000000
χ5544-4-44-200-2-42-42400-2-2220000000000006−60066−6−600000000−2i32i300−2i22i200000000000000000000i2−i200000000
χ5644-4-44-200-2-42-42400-2-2220000000000006−60066−6−6000000002i3−2i3002i2−2i200000000000000000000−i2i200000000
χ5744-4-44-200-2-42-42400-2-222000000000000−6600−6−66600000000−2i32i3002i2−2i200000000000000000000−i2i200000000
χ5844-4-44-200-2-42-42400-2-222000000000000−6600−6−666000000002i3−2i300−2i22i200000000000000000000i2−i200000000
χ594-44-44-24-4242-4-2-400-22-22-4-2240000002-2000000004-400000000000000000000000000-2200000000000000
χ604-44-44-24-4242-4-2-400-22-22-4-2240000002-200000000-44000000000000000000000000002-200000000000000
χ614-44-44-2-44242-4-2-44-4-22-2242-2-404-4-220-22000000000000000000000000-2200000000000000000000000000
χ624-44-44-2-44242-4-2-4-44-22-2242-2-40-442-20-220000000000000000000000002-200000000000000000000000000
χ634-44-4-244-4-4-2-424200-22-2224-4-20000002-2000000000004i−4i000000000000000000000000000−2i2i0000000000
χ644-44-4-244-4-4-2-424200-22-2224-4-20000002-200000000000−4i4i0000000000000000000000000002i−2i0000000000
χ654-44-4-24-44-4-2-42424-4-22-22-2-4420-224-40-22000000000000000000000000-2200000000000000000000000000
χ664-44-4-24-44-4-2-4242-44-22-22-2-44202-2-440-220000000000000000000000002-200000000000000000000000000
χ674-44-4-2-2-442-222-224-41-11-1-22-220-22-2201-100003i−3i3i−3i00000000000000001-1003i−3i0000000000000000000000
χ684-44-4-2-2-442-222-224-41-11-1-22-220-22-2201-10000−3i3i−3i3i00000000000000001-100−3i3i0000000000000000000000
χ694-44-4-2-2-442-222-22-441-11-1-22-2202-22-201-100003i−3i3i−3i0000000000000000-1100−3i3i0000000000000000000000
χ704-44-4-2-2-442-222-22-441-11-1-22-2202-22-201-10000−3i3i−3i3i0000000000000000-11003i−3i0000000000000000000000
χ714-4-444400-4-444-4-4004-4-44000000000000000000000000000000−2i22i2000000000000000000000000−2i22i2000000
χ724-4-444400-4-444-4-4004-4-440000000000000000000000000000002i2−2i20000000000000000000000002i2−2i2000000
χ734-4-44-2400-424-2-4200-222-200000000000000i6−i6i6−i6−i6i60000000000−2i22i20023−2300000000000000000000i2−i2000000
χ744-4-44-2400-424-2-4200-222-200000000000000i6−i6i6−i6−i6i600000000002i2−2i200−232300000000000000000000−i2i2000000
χ754-4-44-2400-424-2-4200-222-200000000000000−i6i6−i6i6i6−i60000000000−2i22i200−232300000000000000000000i2−i2000000
χ764-4-44-2400-424-2-4200-222-200000000000000−i6i6−i6i6i6−i600000000002i2−2i20023−2300000000000000000000−i2i2000000
χ778888-4-4-8-8-4-4-4-4-4-40022224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-480084-84-8-400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44444-40022-2-200000000000026−2600−6−66600000000000000000000000000000000000000000000
χ8088-8-8-4-400-44444-40022-2-2000000000000−26260066−6−600000000000000000000000000000000000000000000
χ818-88-8-4-48-84-444-44002-22-24-44-4000000-220000000000000000000000000000000000000000000000000000
χ828-8-888-4004-8-484-800-444-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-4-444002-2-22000000000000002i6−2i6−i6i6i6−i600000000000000000000000000000000000000000000
χ848-8-88-4-40044-4-444002-2-2200000000000000−2i62i6i6−i6−i6i600000000000000000000000000000000000000000000

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