Finite Group Databasebeta

← Group #11868973

Character table — Group #11868973

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order1222334466666622366612121212466668121224242424242424244444444488881212121266121212122244441212121212122424242422121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-11-1-1-111-1-111-1-1111111-1-1-1-11-1-1111-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-1-11-1111-1-111-1-111111111-1-1-1-1-111-1-1-111-1-111-1-1-11-1-1
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
χ5111111111111111111111111-11111-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-11111-111-1-1-1-1-1-1-1-1111-11-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1111
χ7111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11-111
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
χ911111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-11-11-1-111-1-1-1-111-1-11111-1-1-1-1-111-111-1-111-1-111-11-11
χ1011111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11-1
χ1111111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1111-1
χ1211111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-11111-1-1-1-11-1-11-1-111-1-111111-1-11
χ1311111111111111-1-111111111-1-1-1-1-11111111111111-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111111-11-1
χ1411111111111111-1-111111111-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-11
χ1511111111111111-1-111111111-1-1-1-1-111111111111-1-11111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11
χ1611111111111111-1-111111111-1-1-1-1-111111111111-1-11-11-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-111-1
χ17222222-2-2222222002222-2-2-2-2000000-2-2000000000022-2-200000022-2-2000000-2-222002-200000000000000
χ18222222-2-2222222002222-2-2-2-2000000-2-200000000002-2-22000000222200000022-2-200-2-200000000000000
χ19222222-2-2222222002222-2-2-2-2000000-2-20000000000-222-2000000-2-2-2-200000022-2-2002200000000000000
χ20222222-2-2222222002222-2-2-2-2000000-2-20000000000-2-222000000-2-222000000-2-22200-2200000000000000
χ2122222-1222-12-1-1222-1-1-1-12-12-1222-1-12-1-122-1-1-1-1-1-1222020002200-1-100-1-12-1-1-10000200-1-1-100-1-10000-1000
χ2222222-1222-12-1-1222-1-1-1-12-12-1222-1-12-1-122-1-1-1-1-1-1-2-2-20-2000-2-2001100-1-12-1-1-10000-200111001100001000
χ2322222-1222-12-1-1222-1-1-1-12-12-1-222-1-1-2-1-1-2-211111122202000-2-200-1-100-1-1-21110000-200-1-1-1001100001000
χ2422222-1222-12-1-1222-1-1-1-12-12-1-222-1-1-2-1-1-2-2111111-2-2-20-200022001100-1-1-2111000020011100-1-10000-1000
χ2522222-1222-12-1-12-2-2-1-1-1-12-12-12-2-211-2-1-1-2-211111122-20-200022001100112-1-1-10000-2001-1-100-1-100001000
χ2622222-1222-12-1-12-2-2-1-1-1-12-12-12-2-211-2-1-1-2-2111111-2-2202000-2-200-1-100112-1-1-10000200-11100110000-1000
χ2722222-1222-12-1-12-2-2-1-1-1-12-12-1-2-2-2112-1-122-1-1-1-1-1-122-20-2000-2-200110011-211100002001-1-100110000-1000
χ2822222-1222-12-1-12-2-2-1-1-1-12-12-1-2-2-2112-1-122-1-1-1-1-1-1-2-22020002200-1-10011-21110000-200-11100-1-100001000
χ292222-1222-12-122-122-1-1-1-1-12-122-1-1222-1-1-1-122-1-1-1-100020222002200-1-1-1-1-12-1-1000002-1000-1-100-1-1000-100
χ302222-1222-12-122-122-1-1-1-1-12-122-1-1222-1-1-1-122-1-1-1-1000-20-2-2-200-2-20011-1-1-12-1-100000-21000110011000100
χ312222-1222-12-122-122-1-1-1-1-12-12-2-1-122-2-1-111-2-211110002022200-2-200-1-1-1-11-21100000-2-1000-1-10011000100
χ322222-1222-12-122-122-1-1-1-1-12-12-2-1-122-2-1-111-2-21111000-20-2-2-200220011-1-11-21100000210001100-1-1000-100
χ332222-1222-12-122-1-2-2-1-1-1-1-12-12211-2-2-2-1-111-2-21111000202-2-200-2-200-1-111-12-1-1000002-1000110011000-100
χ342222-1222-12-122-1-2-2-1-1-1-1-12-12211-2-2-2-1-111-2-21111000-20-2220022001111-12-1-100000-21000-1-100-1-1000100
χ352222-1222-12-122-1-2-2-1-1-1-1-12-12-211-2-22-1-1-1-122-1-1-1-1000202-2-2002200-1-1111-21100000-2-10001100-1-1000100
χ362222-1222-12-122-1-2-2-1-1-1-1-12-12-211-2-22-1-1-1-122-1-1-1-1000-20-22200-2-20011111-2110000021000-1-10011000-100
χ3722-2-2222-222-2-2-2-22-22-22-222-2-202-22-202-20000000000000000000000002-200002-22-20000000000002-20000
χ3822-2-2222-222-2-2-2-22-22-22-222-2-202-22-202-20000000000000000000000002-20000-22-22000000000000-220000
χ3922-2-2222-222-2-2-2-2-222-22-222-2-20-22-2202-2000000000000000000000000-2200002-22-2000000000000-220000
χ4022-2-2222-222-2-2-2-2-222-22-222-2-20-22-2202-2000000000000000000000000-220000-22-220000000000002-20000
χ4122-2-222-2222-2-2-2-2002-22-2-2-222000000-22000000002i−2i00002i−2i000000000000002-2-2200002i−2i2i−2i0000000000
χ4222-2-222-2222-2-2-2-2002-22-2-2-222000000-22000000002i−2i0000−2i2i00000000000000-222-200002i−2i−2i2i0000000000
χ4322-2-222-2222-2-2-2-2002-22-2-2-222000000-2200000000−2i2i00002i−2i00000000000000-222-20000−2i2i2i−2i0000000000
χ4422-2-222-2222-2-2-2-2002-22-2-2-222000000-2200000000−2i2i0000−2i2i000000000000002-2-220000−2i2i−2i2i0000000000
χ4544444-2-4-44-24-2-2400-2-2-2-2-42-4200000022000000000040-40000000-2-2000000000000000200000000000000
χ4644444-2-4-44-24-2-2400-2-2-2-2-42-42000000220000000000-404000000022000000000000000-200000000000000
χ474444-24-4-4-24-244-200-2-2-2-22-42-4000000220000000000040-40000000022000000000000-2000000000000000
χ484444-24-4-4-24-244-200-2-2-2-22-42-40000002200000000000-40400000000-2-20000000000002000000000000000
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
χ5344-4-44-24-44-2-422-44-4-22-224-2-4204-4-220-22000000000000000000000000-2200000000000000000000000000
χ5444-4-44-24-44-2-422-4-44-22-224-2-420-442-20-220000000000000000000000002-200000000000000000000000000
χ5544-4-44-2-444-2-422-400-22-22-424-20000002-2000000004i−4i0000000000000000000000000000−2i2i000000000000
χ5644-4-44-2-444-2-422-400-22-22-424-20000002-200000000−4i4i00000000000000000000000000002i−2i000000000000
χ5744-4-4-244-4-242-4-424-4-22-22-242-40-224-40-22000000000000000000000000-2200000000000000000000000000
χ5844-4-4-244-4-242-4-42-44-22-22-242-402-2-440-220000000000000000000000002-200000000000000000000000000
χ5944-4-4-24-44-242-4-4200-22-222-4-240000002-2000000000000004i−4i000000000000000000000000−2i2i0000000000
χ6044-4-4-24-44-242-4-4200-22-222-4-240000002-200000000000000−4i4i0000000000000000000000002i−2i0000000000
χ6144-4-4-2-24-4-2-222224-41-11-1-2-2220-22-2201-100003i3i−3i−3i00000000000000001-1003i−3i0000000000000000000000
χ6244-4-4-2-24-4-2-222224-41-11-1-2-2220-22-2201-10000−3i−3i3i3i00000000000000001-100−3i3i0000000000000000000000
χ6344-4-4-2-24-4-2-22222-441-11-1-2-22202-22-201-100003i3i−3i−3i0000000000000000-1100−3i3i0000000000000000000000
χ6444-4-4-2-24-4-2-22222-441-11-1-2-22202-22-201-10000−3i−3i3i3i0000000000000000-11003i−3i0000000000000000000000
χ654-44-44400-4-44-44-4004-4-44000000000000000000000000000000−2i22i2000000000000000000000000−2i22i2000000
χ664-44-44400-4-44-44-4004-4-440000000000000000000000000000002i2−2i20000000000000000000000002i2−2i2000000
χ674-44-4-24002-4-2-44200-222-2000000000000i6−i600i6−i6i6−i60000000000−2i22i20023−2300000000000000000000i2−i2000000
χ684-44-4-24002-4-2-44200-222-2000000000000i6−i600i6−i6i6−i600000000002i2−2i200−232300000000000000000000−i2i2000000
χ694-44-4-24002-4-2-44200-222-2000000000000−i6i600−i6i6−i6i60000000000−2i22i200−232300000000000000000000i2−i2000000
χ704-44-4-24002-4-2-44200-222-2000000000000−i6i600−i6i6−i6i600000000002i2−2i20023−2300000000000000000000−i2i2000000
χ714-4-444400-4-4-44-440044-4-4000000000000000000000000000022−2200000000000000000000000022−2200000000
χ724-4-444400-4-4-44-440044-4-40000000000000000000000000000−2222000000000000000000000000−222200000000
χ734-4-444-200-42-4-22400-2-222000000000000006−66−6−660000000022−220023−2300000000000000000000−2200000000
χ744-4-444-200-42-4-22400-2-222000000000000006−66−6−6600000000−222200−2323000000000000000000002−200000000
χ754-4-444-200-42-4-22400-2-22200000000000000−66−666−60000000022−2200−232300000000000000000000−2200000000
χ764-4-444-200-42-4-22400-2-22200000000000000−66−666−600000000−22220023−23000000000000000000002−200000000
χ778888-4-4-8-8-4-4-4-4-4-40022224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4-88-4-44444002-22-244-4-4000000-220000000000000000000000000000000000000000000000000000
χ798-88-88-400-8484-4-800-444-40000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-40044-44-44002-2-220000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000000
χ818-88-8-4-40044-44-44002-2-22000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000000
χ828-8-88-48004-848-8-400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-44-40022-2-20000000000000026−26−666−600000000000000000000000000000000000000000000
χ848-8-88-4-400444-44-40022-2-200000000000000−26266−6−6600000000000000000000000000000000000000000000

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