Finite Group Databasebeta

← Group #11868667

Character table — Group #11868667

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order1222334466666622366612121212444446666812122424242424242424444444121212126612121212224444881212121212122424242422121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-11111-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-1111111111111111111-1-11-111-1-1111111-1-1-1-1-111-1-1111-1-111-1-1-1-11-1-1-1
χ411111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-1111111111111111111-1-111-11-1-111111111-1-1-1-11-1-111-1-1-111-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-11111-111-1-1-1-1-1-1-1-1-1-111-11-1-11111-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-1-1-11-111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ911111111111111-1-11111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1111-1
χ1011111111111111-1-1111111111111-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-11
χ1111111111111111-1-11111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-11111-1-1-1-1-11-11-11-1-111-1-111111-1-11
χ1211111111111111-1-11111111111-1-1-1-1-1-1-111111111111-1-1111-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-1-11111-1-111-111-1
χ1311111111111111-1-111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-1-111-1-11111-1-1-1-11-11-11-111-1-111-1-111-11-11
χ1411111111111111-1-111111111-1-111-1-1-1-1-11111111111111-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-11-111-111-1-1-1-111111-11-1
χ1511111111111111-1-111111111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-11-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-11
χ17222222-2-2222222002222-2-2-2-22222000000-2-2000000000000-2-2222200000022-2-20000-2-200000000000000
χ18222222-2-2222222002222-2-2-2-222-2-2000000-2-2000000000000-2222-2-2000000-2-22200002-200000000000000
χ19222222-2-2222222002222-2-2-2-2-2-222000000-2-20000000000002-2-2-222000000-2-2220000-2200000000000000
χ20222222-2-2222222002222-2-2-2-2-2-2-2-2000000-2-200000000000022-2-2-2-200000022-2-200002200000000000000
χ2122222-1222-12-1-1222-1-1-1-12-12-12200222-1-12-1-122-1-1-1-1-1-1220020-1-100-1-1-12-1-1000002200-1-1-100-1-10000-1000
χ2222222-1222-12-1-1222-1-1-1-12-12-12200-222-1-1-2-1-1-2-2111111220020-1-100-1-11-21100000-2-200-1-1-1001100001000
χ2322222-1222-12-1-1222-1-1-1-12-12-1-2-200222-1-12-1-122-1-1-1-1-1-1-2-200-201100-1-1-12-1-100000-2-200111001100001000
χ2422222-1222-12-1-1222-1-1-1-12-12-1-2-200-222-1-1-2-1-1-2-2111111-2-200-201100-1-11-21100000220011100-1-10000-1000
χ2522222-1222-12-1-12-2-2-1-1-1-12-12-122002-2-211-2-1-1-2-2111111-2-20020-1-10011-12-1-1000002-200-11100110000-1000
χ2622222-1222-12-1-12-2-2-1-1-1-12-12-12200-2-2-2112-1-122-1-1-1-1-1-1-2-20020-1-100111-21100000-2200-11100-1-100001000
χ2722222-1222-12-1-12-2-2-1-1-1-12-12-1-2-2002-2-211-2-1-1-2-21111112200-20110011-12-1-100000-22001-1-100-1-100001000
χ2822222-1222-12-1-12-2-2-1-1-1-12-12-1-2-200-2-2-2112-1-122-1-1-1-1-1-12200-201100111-211000002-2001-1-100110000-1000
χ292222-1222-12-122-122-1-1-1-1-12-1200222-1-1222-1-1-1-122-1-1-1-100220200-1-1-1-12-1-1-100002002-1000-1-100-1-1000-100
χ302222-1222-12-122-122-1-1-1-1-12-120022-2-1-122-2-1-111-2-2111100220200-1-1-1-1-21110000-200-2-1000-1-10011000100
χ312222-1222-12-122-122-1-1-1-1-12-1200-2-22-1-1222-1-1-1-122-1-1-1-100-2-20-20011-1-12-1-1-10000-200-21000110011000100
χ322222-1222-12-122-122-1-1-1-1-12-1200-2-2-2-1-122-2-1-111-2-2111100-2-20-20011-1-1-21110000200210001100-1-1000-100
χ332222-1222-12-122-1-2-2-1-1-1-1-12-120022211-2-2-2-1-111-2-2111100-2-20200-1-1112-1-1-10000200-2-1000110011000-100
χ342222-1222-12-122-1-2-2-1-1-1-1-12-120022-211-2-22-1-1-1-122-1-1-1-100-2-20200-1-111-21110000-2002-10001100-1-1000100
χ352222-1222-12-122-1-2-2-1-1-1-1-12-1200-2-2211-2-2-2-1-111-2-2111100220-20011112-1-1-10000-20021000-1-100-1-1000100
χ362222-1222-12-122-1-2-2-1-1-1-1-12-1200-2-2-211-2-22-1-1-1-122-1-1-1-100220-2001111-21110000200-21000-1-10011000-100
χ3722-2-2222-222-2-2-2-22-22-22-222-2-2000002-22-202-20000000000000000002-200002-22-2000000000000002-20000
χ3822-2-2222-222-2-2-2-22-22-22-222-2-2000002-22-202-20000000000000000002-20000-22-2200000000000000-220000
χ3922-2-2222-222-2-2-2-2-222-22-222-2-200000-22-2202-2000000000000000000-2200002-22-200000000000000-220000
χ4022-2-2222-222-2-2-2-2-222-22-222-2-200000-22-2202-2000000000000000000-220000-22-22000000000000002-20000
χ4122-2-222-2222-2-2-2-2002-22-2-2-2220000000000-22000000002i−2i2i−2i0000000000002-2-220000002i−2i2i−2i0000000000
χ4222-2-222-2222-2-2-2-2002-22-2-2-2220000000000-22000000002i−2i−2i2i000000000000-222-20000002i−2i−2i2i0000000000
χ4322-2-222-2222-2-2-2-2002-22-2-2-2220000000000-2200000000−2i2i2i−2i000000000000-222-2000000−2i2i2i−2i0000000000
χ4422-2-222-2222-2-2-2-2002-22-2-2-2220000000000-2200000000−2i2i−2i2i0000000000002-2-22000000−2i2i−2i2i0000000000
χ4544444-2-4-44-24-2-2400-2-2-2-2-42-42440000000022000000000000-40-2-200000000000000000200000000000000
χ4644444-2-4-44-24-2-2400-2-2-2-2-42-42-4-40000000022000000000000402200000000000000000-200000000000000
χ474444-24-4-4-24-244-200-2-2-2-22-42-40044000000220000000000000-400-2-2000000000000002000000000000000
χ484444-24-4-4-24-244-200-2-2-2-22-42-400-4-40000002200000000000004002200000000000000-2000000000000000
χ494444-2-244-2-2-2-2-2-2441111-2-2-2-200004-2-2-2-2411-2-2-2-21111000000000011-2-211000000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-2-2-2-20000-4-2-2-2-2-4112222-1-1-1-100000000001122-1-1000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000042222-4112222-1-1-1-10000000000-1-1-2-211000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20000-42222411-2-2-2-211110000000000-1-122-1-1000000000000000000000000
χ5344-4-44-24-44-2-422-44-4-22-224-2-42000004-4-220-22000000000000000000-220000000000000000000000000000
χ5444-4-44-24-44-2-422-4-44-22-224-2-4200000-442-20-220000000000000000002-20000000000000000000000000000
χ5544-4-44-2-444-2-422-400-22-22-424-200000000002-2000000004i−4i000000000000000000000000−2i2i000000000000
χ5644-4-44-2-444-2-422-400-22-22-424-200000000002-200000000−4i4i0000000000000000000000002i−2i000000000000
χ5744-4-4-244-4-242-4-424-4-22-22-242-400000-224-40-22000000000000000000-220000000000000000000000000000
χ5844-4-4-244-4-242-4-42-44-22-22-242-4000002-2-440-220000000000000000002-20000000000000000000000000000
χ5944-4-4-24-44-242-4-4200-22-222-4-2400000000002-200000000004i−4i000000000000000000000000−2i2i0000000000
χ6044-4-4-24-44-242-4-4200-22-222-4-2400000000002-20000000000−4i4i0000000000000000000000002i−2i0000000000
χ6144-4-4-2-24-4-2-222224-41-11-1-2-22200000-22-2201-100003i3i−3i−3i00000000001-1003i−3i000000000000000000000000
χ6244-4-4-2-24-4-2-222224-41-11-1-2-22200000-22-2201-10000−3i−3i3i3i00000000001-100−3i3i000000000000000000000000
χ6344-4-4-2-24-4-2-22222-441-11-1-2-222000002-22-201-100003i3i−3i−3i0000000000-1100−3i3i000000000000000000000000
χ6444-4-4-2-24-4-2-22222-441-11-1-2-222000002-22-201-10000−3i−3i3i3i0000000000-11003i−3i000000000000000000000000
χ654-44-44400-4-4-4-444004-4-440000004-40000000000000000000000004-4000000000000000000000000000000
χ664-44-44400-4-4-4-444004-4-44000000-44000000000000000000000000-44000000000000000000000000000000
χ674-44-4-24002-42-44-200-222-20000004-400000000i6−i600i6−i6i6−i600000000-220000000000000000000000i6−i6000000
χ684-44-4-24002-42-44-200-222-20000004-400000000−i6i600−i6i6−i6i600000000-220000000000000000000000−i6i6000000
χ694-44-4-24002-42-44-200-222-2000000-4400000000i6−i600i6−i6i6−i6000000002-20000000000000000000000−i6i6000000
χ704-44-4-24002-42-44-200-222-2000000-4400000000−i6i600−i6i6−i6i6000000002-20000000000000000000000i6−i6000000
χ714-4-444400-4-444-4-40044-4-400004i−4i0000000000000000000000004i−4i00000000000000000000000000000000
χ724-4-444400-4-444-4-40044-4-40000−4i4i000000000000000000000000−4i4i00000000000000000000000000000000
χ734-4-444-200-424-22-400-2-22200004i−4i0000000000006−66−6−66000000−2i2i0000000000000000000000i6−i600000000
χ744-4-444-200-424-22-400-2-22200004i−4i000000000000−66−666−6000000−2i2i0000000000000000000000−i6i600000000
χ754-4-444-200-424-22-400-2-2220000−4i4i0000000000006−66−6−660000002i−2i0000000000000000000000−i6i600000000
χ764-4-444-200-424-22-400-2-2220000−4i4i000000000000−66−666−60000002i−2i0000000000000000000000i6−i600000000
χ778888-4-4-8-8-4-4-4-4-4-400222244440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-4-4-88-4-44444002-22-244-4-40000000000-22000000000000000000000000000000000000000000000000
χ798-88-88-400-84-84-4800-444-40000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-4004444-4-4002-2-2200000000000000002i6−2i600−i6i6−i6i60000000000000000000000000000000000000000
χ818-88-8-4-4004444-4-4002-2-220000000000000000−2i62i600i6−i6i6−i60000000000000000000000000000000000000000
χ828-8-88-48004-8-48-8400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-4-4440022-2-200000000000000000026−26−666−60000000000000000000000000000000000000000
χ848-8-88-4-40044-4-4440022-2-2000000000000000000−26266−6−660000000000000000000000000000000000000000

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