Finite Group Databasebeta

← Group #11872451

Character table — Group #11872451

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order122233446666662236661212121246666812122424242424242424244444448888121212126612121212444444612121212122424242444121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1111-1-1-1-1-111-1-111111111-1-1-1-1-111-1-1-11111-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111-11-1-1-111111-1-111-1-1111111-1-1-1-11-1-1111-1-1-1-111-1-11-1-1-1
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
χ5111111111111111111111111-11111-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-11111-111-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-11-111
χ7111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-11-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1-1111
χ8111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ911111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1111-1
χ1011111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-111-1-11111-1-1-1-1-111-111-1-1-1-11111-11-11
χ1111111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11-1-11111-1-1111-1-11
χ1211111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11-1
χ1311111111111111-1-111111111-1-1-1-1-111111111111111-1-11-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11
χ1411111111111111-1-111111111-1-1-1-1-1111111111111-11-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1111-11-1
χ1511111111111111-1-111111111-1-1-1-1-111111111111-11-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-111-1
χ1611111111111111-1-111111111-1-1-1-1-111111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-11
χ17222222-2-2222222002222-2-2-2-2000000-2-20000000022-200-2000000-2-2-2-2000000-2-222002200000000000000
χ18222222-2-2222222002222-2-2-2-2000000-2-2000000002-2-200200000022-2-200000022-2-2002-200000000000000
χ19222222-2-2222222002222-2-2-2-2000000-2-200000000-22200-2000000-2-22200000022-2-200-2200000000000000
χ20222222-2-2222222002222-2-2-2-2000000-2-200000000-2-220020000002222000000-2-22200-2-200000000000000
χ2122222-122-12-122-122-1-1-1-12-1-12222-1-12-1-1-1-122-1-1-1-120222000002200-1-1-1-1-12-1-1000002-1000-1-1-1-100000-100
χ2222222-122-12-122-122-1-1-1-12-1-12222-1-12-1-1-1-122-1-1-1-1-20-2-2-200000-2-20011-1-1-12-1-100000-21000111100000100
χ2322222-122-12-122-122-1-1-1-12-1-12-222-1-1-2-1-111-2-211112022200000-2-200-1-1-1-11-21100000-2-1000-1-11100000100
χ2422222-122-12-122-122-1-1-1-12-1-12-222-1-1-2-1-111-2-21111-20-2-2-200000220011-1-11-211000002100011-1-100000-100
χ2522222-122-12-122-1-2-2-1-1-1-12-1-122-2-211-2-1-111-2-21111202-2-200000-2-200-1-111-12-1-1000002-1000111100000-100
χ2622222-122-12-122-1-2-2-1-1-1-12-1-122-2-211-2-1-111-2-21111-20-2220000022001111-12-1-100000-21000-1-1-1-100000100
χ2722222-122-12-122-1-2-2-1-1-1-12-1-12-2-2-2112-1-1-1-122-1-1-1-1202-2-2000002200-1-1111-21100000-2-100011-1-100000100
χ2822222-122-12-122-1-2-2-1-1-1-12-1-12-2-2-2112-1-1-1-122-1-1-1-1-20-22200000-2-20011111-2110000021000-1-11100000-100
χ292222-12222-12-1-1222-1-1-1-1-122-12-1-1222-1-122-1-1-1-1-1-1020002222200-1-100-1-12-1-1-10000200-1-1-10000-1-100-1000
χ302222-12222-12-1-1222-1-1-1-1-122-12-1-1222-1-122-1-1-1-1-1-10-2000-2-2-2-2-2001100-1-12-1-1-10000-200111000011001000
χ312222-12222-12-1-1222-1-1-1-1-122-1-2-1-122-2-1-1-2-211111102000222-2-200-1-100-1-1-21110000-200-1-1-1000011001000
χ322222-12222-12-1-1222-1-1-1-1-122-1-2-1-122-2-1-1-2-21111110-2000-2-2-222001100-1-1-211100002001110000-1-100-1000
χ332222-12222-12-1-12-2-2-1-1-1-1-122-1211-2-2-2-1-1-2-2111111020002-2-2-2-200-1-100112-1-1-10000200-11100001100-1000
χ342222-12222-12-1-12-2-2-1-1-1-1-122-1211-2-2-2-1-1-2-21111110-2000-22222001100112-1-1-10000-2001-1-10000-1-1001000
χ352222-12222-12-1-12-2-2-1-1-1-1-122-1-211-2-22-1-122-1-1-1-1-1-1020002-2-22200-1-10011-21110000-200-1110000-1-1001000
χ362222-12222-12-1-12-2-2-1-1-1-1-122-1-211-2-22-1-122-1-1-1-1-1-10-2000-222-2-200110011-211100002001-1-100001100-1000
χ372-22-2222-2-22-2-2-22002-22-2-22-22000000-22000000000002-202i−2i000000000000002i−2i2i−2i00002i−2i2-20000000000
χ382-22-2222-2-22-2-2-22002-22-2-22-22000000-22000000000002-20−2i2i00000000000000−2i2i−2i2i0000−2i2i2-20000000000
χ392-22-2222-2-22-2-2-22002-22-2-22-22000000-2200000000000-2202i−2i00000000000000−2i2i−2i2i00002i−2i-220000000000
χ402-22-2222-2-22-2-2-22002-22-2-22-22000000-2200000000000-220−2i2i000000000000002i−2i2i−2i0000−2i2i-220000000000
χ412-22-222-22-22-2-2-222-22-22-22-22-202-22-202-20000000000000000000000002-200002i−2i−2i2i0000000000002i−2i0000
χ422-22-222-22-22-2-2-222-22-22-22-22-202-22-202-20000000000000000000000002-20000−2i2i2i−2i000000000000−2i2i0000
χ432-22-222-22-22-2-2-22-222-22-22-22-20-22-2202-2000000000000000000000000-2200002i−2i−2i2i000000000000−2i2i0000
χ442-22-222-22-22-2-2-22-222-22-22-22-20-22-2202-2000000000000000000000000-220000−2i2i2i−2i0000000000002i−2i0000
χ4544444-2-4-4-24-244-200-2-2-2-2-422-4000000220000000040-40000000000022000000000000-2000000000000000
χ4644444-2-4-4-24-244-200-2-2-2-2-422-40000002200000000-40400000000000-2-20000000000002000000000000000
χ474444-24-4-44-24-2-2400-2-2-2-22-4-42000000220000000004000-400000022000000000000000-200000000000000
χ484444-24-4-44-24-2-2400-2-2-2-22-4-4200000022000000000-40004000000-2-2000000000000000200000000000000
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
χ5344-4-444004-4-44-4-40044-4-4000000000000000000000000000022−220000000000000000000000000022−22000000
χ5444-4-444004-4-44-4-40044-4-40000000000000000000000000000−222200000000000000000000000000−2222000000
χ5544-4-4-240042-4-22-400-2-222000000000000006−666−6−60000000022−220023−230000000000000000000000−22000000
χ5644-4-4-240042-4-22-400-2-222000000000000006−666−6−600000000−222200−232300000000000000000000002−2000000
χ5744-4-4-240042-4-22-400-2-22200000000000000−66−6−6660000000022−2200−23230000000000000000000000−22000000
χ5844-4-4-240042-4-22-400-2-22200000000000000−66−6−66600000000−22220023−2300000000000000000000002−2000000
χ594-44-44-24-4242-4-4-200-22-22-4-2240000002-2000000000004-4000000000000000000000000000-220000000000
χ604-44-44-24-4242-4-4-200-22-22-4-2240000002-200000000000-440000000000000000000000000002-20000000000
χ614-44-44-2-44242-4-4-24-4-22-2242-2-404-4-220-22000000000000000000000000-2200000000000000000000000000
χ624-44-44-2-44242-4-4-2-44-22-2242-2-40-442-20-220000000000000000000000002-200000000000000000000000000
χ634-44-4-244-4-4-2-422400-22-2224-4-20000002-2000000000000004i−4i0000000000000000000000−2i2i000000000000
χ644-44-4-244-4-4-2-422400-22-2224-4-20000002-200000000000000−4i4i00000000000000000000002i−2i000000000000
χ654-44-4-24-44-4-2-42244-4-22-22-2-4420-224-40-22000000000000000000000000-2200000000000000000000000000
χ664-44-4-24-44-4-2-4224-44-22-22-2-44202-2-440-220000000000000000000000002-200000000000000000000000000
χ674-44-4-2-2-442-2222-24-41-11-1-22-220-22-2201-100003i−3i3i−3i00000000000000001-1003i−3i0000000000000000000000
χ684-44-4-2-2-442-2222-24-41-11-1-22-220-22-2201-10000−3i3i−3i3i00000000000000001-100−3i3i0000000000000000000000
χ694-44-4-2-2-442-2222-2-441-11-1-22-2202-22-201-100003i−3i3i−3i0000000000000000-1100−3i3i0000000000000000000000
χ704-44-4-2-2-442-2222-2-441-11-1-22-2202-22-201-10000−3i3i−3i3i0000000000000000-11003i−3i0000000000000000000000
χ714-4-444400-4-44-44-4004-4-44000000000000000000000000000000−2i22i20000000000000000000000−2i22i200000000
χ724-4-444400-4-44-44-4004-4-440000000000000000000000000000002i2−2i200000000000000000000002i2−2i200000000
χ734-4-444-2002-4-2-44200-222-2000000000000i6−i600i6−i6−i6i60000000000−2i22i20023−23000000000000000000i2−i200000000
χ744-4-444-2002-4-2-44200-222-2000000000000i6−i600i6−i6−i6i600000000002i2−2i200−2323000000000000000000−i2i200000000
χ754-4-444-2002-4-2-44200-222-2000000000000−i6i600−i6i6i6−i60000000000−2i22i200−2323000000000000000000i2−i200000000
χ764-4-444-2002-4-2-44200-222-2000000000000−i6i600−i6i6i6−i600000000002i2−2i20023−23000000000000000000−i2i200000000
χ778888-4-4-8-8-4-4-4-4-4-40022224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-88-400-4-848-8400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-444-4440022-2-20000000000000026−26−6−66600000000000000000000000000000000000000000000
χ8088-8-8-4-400-444-4440022-2-200000000000000−262666−6−600000000000000000000000000000000000000000000
χ818-88-8-4-48-84-4444-4002-22-24-44-4000000-220000000000000000000000000000000000000000000000000000
χ828-8-88-4800-8484-4-800-444-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-44-44002-2-220000000000002i6−2i600−i6i6i6−i600000000000000000000000000000000000000000000
χ848-8-88-4-40044-44-44002-2-22000000000000−2i62i600i6−i6−i6i600000000000000000000000000000000000000000000

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