Finite Group Databasebeta

← Group #11872734

Character table — Group #11872734

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order12223344666666223666121212124666681212242424242424242422244444668888121266121212124444246612121212242424244461228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-11-1111-1-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-11-1-1-1111-1-111-1-1-11-1-1
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
χ6111111111111111111111111-11111-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1111
χ7111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11-111
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
χ911111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-1111111-1-1-1-11-1
χ1011111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1111-11-1-111-1-111-11-11
χ1111111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-11-111-1-111111-1-11
χ1211111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111111111-1-111-1-1-1-1-1-1-1-1111-1
χ1311111111111111-1-111111111-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-11
χ1411111111111111-1-111111111-1-1-1-1-11111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-111111-11-1
χ1511111111111111-1-111111111-1-1-1-1-111111111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-111-111-1
χ1611111111111111-1-111111111-1-1-1-1-111111111111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11
χ17222222-2-2222222002222-2-2-2-2000000-2-200000000002-2002-222000022000000-2-2220000-2-2000000000000
χ18222222-2-2222222002222-2-2-2-2000000-2-200000000002-200-22220000-2-200000022-2-20000-22000000000000
χ19222222-2-2222222002222-2-2-2-2000000-2-20000000000-22002-2-2-200002200000022-2-200002-2000000000000
χ20222222-2-2222222002222-2-2-2-2000000-2-20000000000-2200-22-2-20000-2-2000000-2-222000022000000000000
χ2122222-122-12-1-12222-1-1-1-12-1-12222-1-12-1-1-1-122-1-1-1-122220000-1-1002200-1-1-12-1-1000020-1-1-1000-1-10000-1000
χ2222222-122-12-1-12222-1-1-1-12-1-12222-1-12-1-1-1-122-1-1-1-1-2-2-2-200001100-2-200-1-1-12-1-10000-201110001100001000
χ2322222-122-12-1-12222-1-1-1-12-1-12-222-1-1-2-1-111-2-2111122220000-1-100-2-200-1-11-2110000-20-1-1-10001100001000
χ2422222-122-12-1-12222-1-1-1-12-1-12-222-1-1-2-1-111-2-21111-2-2-2-2000011002200-1-11-211000020111000-1-10000-1000
χ2522222-122-12-1-122-2-2-1-1-1-12-1-122-2-211-2-1-111-2-2111122-2-200001100220011-12-1-10000-20-1-11000-1-100001000
χ2622222-122-12-1-122-2-2-1-1-1-12-1-122-2-211-2-1-111-2-21111-2-2220000-1-100-2-20011-12-1-100002011-1000110000-1000
χ2722222-122-12-1-122-2-2-1-1-1-12-1-12-2-2-2112-1-1-1-122-1-1-1-122-2-200001100-2-200111-211000020-1-11000110000-1000
χ2822222-122-12-1-122-2-2-1-1-1-12-1-12-2-2-2112-1-1-1-122-1-1-1-1-2-2220000-1-1002200111-2110000-2011-1000-1-100001000
χ292222-12222-122-1-122-1-1-1-1-122-12-1-1222-1-122-1-1-1-1-1-100002222002200-1-1-1-12-1-1-1000002000-1-1-100-1-1000-100
χ302222-12222-122-1-122-1-1-1-1-122-12-1-1222-1-122-1-1-1-1-1-10000-2-2-2-200-2-20011-1-12-1-1-100000-20001110011000100
χ312222-12222-122-1-122-1-1-1-1-122-1-2-1-122-2-1-1-2-21111110000222200-2-200-1-1-1-1-211100000-2000-1-1-10011000100
χ322222-12222-122-1-122-1-1-1-1-122-1-2-1-122-2-1-1-2-21111110000-2-2-2-200220011-1-1-211100000200011100-1-1000-100
χ332222-12222-122-1-1-2-2-1-1-1-1-122-1211-2-2-2-1-1-2-2111111000022-2-200220011112-1-1-100000-20001-1-100-1-1000100
χ342222-12222-122-1-1-2-2-1-1-1-1-122-1211-2-2-2-1-1-2-21111110000-2-22200-2-200-1-1112-1-1-1000002000-1110011000-100
χ352222-12222-122-1-1-2-2-1-1-1-1-122-1-211-2-22-1-122-1-1-1-1-1-1000022-2-200-2-2001111-21110000020001-1-10011000-100
χ362222-12222-122-1-1-2-2-1-1-1-1-122-1-211-2-22-1-122-1-1-1-1-1-10000-2-222002200-1-111-211100000-2000-11100-1-1000100
χ3722-2-2222-2-22-22-2-2002-22-2-22-22000000-22000000002-2002i−2i00000000000000002i−2i2i−2i002-2002i−2i0000000000
χ3822-2-2222-2-22-22-2-2002-22-2-22-22000000-22000000002-200−2i2i0000000000000000−2i2i−2i2i002-200−2i2i0000000000
χ3922-2-2222-2-22-22-2-2002-22-2-22-22000000-2200000000-22002i−2i0000000000000000−2i2i−2i2i00-22002i−2i0000000000
χ4022-2-2222-2-22-22-2-2002-22-2-22-22000000-2200000000-2200−2i2i00000000000000002i−2i2i−2i00-2200−2i2i0000000000
χ4122-2-222-22-22-22-2-22-22-22-22-22-202-22-202-20000000000000000000000002-200002i−2i−2i2i0000000000002i−2i0000
χ4222-2-222-22-22-22-2-22-22-22-22-22-202-22-202-20000000000000000000000002-20000−2i2i2i−2i000000000000−2i2i0000
χ4322-2-222-22-22-22-2-2-222-22-22-22-20-22-2202-2000000000000000000000000-2200002i−2i−2i2i000000000000−2i2i0000
χ4422-2-222-22-22-22-2-2-222-22-22-22-20-22-2202-2000000000000000000000000-220000−2i2i2i−2i0000000000002i−2i0000
χ4544444-2-4-4-24-2-24400-2-2-2-2-422-40000002200000000004-40000-2-20000000000000000000020000000000000
χ4644444-2-4-4-24-2-24400-2-2-2-2-422-4000000220000000000-4400002200000000000000000000-20000000000000
χ474444-24-4-44-244-2-200-2-2-2-22-4-4200000022000000000000004-4000000-2-20000000000000002000000000000
χ484444-24-4-44-244-2-200-2-2-2-22-4-420000002200000000000000-4400000022000000000000000-2000000000000
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
χ5344-4-44-24-4242-2-4-400-22-22-4-2240000002-2000000004-400000000000000000000000000-2200000000000000
χ5444-4-44-24-4242-2-4-400-22-22-4-2240000002-200000000-44000000000000000000000000002-200000000000000
χ5544-4-44-2-44242-2-4-44-4-22-2242-2-404-4-220-22000000000000000000000000-2200000000000000000000000000
χ5644-4-44-2-44242-2-4-4-44-22-2242-2-40-442-20-220000000000000000000000002-200000000000000000000000000
χ5744-4-4-244-4-4-2-442200-22-2224-4-20000002-20000000000004i−4i00000000000000000000000000−2i2i0000000000
χ5844-4-4-244-4-4-2-442200-22-2224-4-20000002-2000000000000−4i4i000000000000000000000000002i−2i0000000000
χ5944-4-4-24-44-4-2-44224-4-22-22-2-4420-224-40-22000000000000000000000000-2200000000000000000000000000
χ6044-4-4-24-44-4-2-4422-44-22-22-2-44202-2-440-220000000000000000000000002-200000000000000000000000000
χ6144-4-4-2-2-442-22-2224-41-11-1-22-220-22-2201-100003i3i−3i−3i00000000000000001-1003i−3i0000000000000000000000
χ6244-4-4-2-2-442-22-2224-41-11-1-22-220-22-2201-10000−3i−3i3i3i00000000000000001-100−3i3i0000000000000000000000
χ6344-4-4-2-2-442-22-222-441-11-1-22-2202-22-201-100003i3i−3i−3i0000000000000000-1100−3i3i0000000000000000000000
χ6444-4-4-2-2-442-22-222-441-11-1-22-2202-22-201-10000−3i−3i3i3i0000000000000000-11003i−3i0000000000000000000000
χ654-44-44400-4-44-4-44004-4-440000000000000000000000000000000022−220000000000000000000022−2200000000
χ664-44-44400-4-44-4-44004-4-4400000000000000000000000000000000−222200000000000000000000−222200000000
χ674-44-44-2002-4-22-4400-222-2000000000000i6−i600i6−i6i6−i600000000−2i32i30022−2200000000000000000000−2200000000
χ684-44-44-2002-4-22-4400-222-2000000000000i6−i600i6−i6i6−i6000000002i3−2i300−2222000000000000000000002−200000000
χ694-44-44-2002-4-22-4400-222-2000000000000−i6i600−i6i6−i6i600000000−2i32i300−2222000000000000000000002−200000000
χ704-44-44-2002-4-22-4400-222-2000000000000−i6i600−i6i6−i6i6000000002i3−2i30022−2200000000000000000000−2200000000
χ714-4-4444004-4-4-44-40044-4-400000000000000000000000000000022−2200000000000000000000000022−22000000
χ724-4-4444004-4-4-44-40044-4-4000000000000000000000000000000−2222000000000000000000000000−2222000000
χ734-4-44-240042-4-4-2200-2-222000000000000006−66−6−66000000000022−220023−2300000000000000000000−22000000
χ744-4-44-240042-4-4-2200-2-222000000000000006−66−6−660000000000−222200−2323000000000000000000002−2000000
χ754-4-44-240042-4-4-2200-2-22200000000000000−66−666−6000000000022−2200−232300000000000000000000−22000000
χ764-4-44-240042-4-4-2200-2-22200000000000000−66−666−60000000000−22220023−23000000000000000000002−2000000
χ778888-4-4-8-8-4-4-4-4-4-40022224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-4-48-84-44-444002-22-24-44-4000000-220000000000000000000000000000000000000000000000000000
χ798-88-8-4800-848-84-400-444-40000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-40044-444-4002-2-220000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000000
χ818-88-8-4-40044-444-4002-2-22000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000000
χ828-8-888-400-4-8448-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-4444-440022-2-20000000000000026−26−666−600000000000000000000000000000000000000000000
χ848-8-88-4-400-4444-440022-2-200000000000000−26266−6−6600000000000000000000000000000000000000000000

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