Finite Group Databasebeta

← Group #11868967

Character table — Group #11868967

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order1222334466666622366688121212124666612122424242424242424444444441212121266121212122244448812121212121224242424228812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-11-1-1-111-1-1111111-1-1-1-1-111-111-11-1-111-1-1-1-1-1-1-11-1
χ311111111111111111111111111111111111111111-1-1-11-1111-1-111111111-1-1-1-11-1-11-1-11-111-1-111-1-1-1-11-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111-11-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1111-11-1-1-1-111-1-1111-11
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-1-1-111-1-1-11-11111-1-1-1-111-111
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1
χ911111111111111-1-11111111111-1-1-1-1-1111111111111-11-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-11111-1-1-111
χ1011111111111111-1-11111111111-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11111-1
χ1111111111111111-1-11111111111-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-11111111111-1-11-11-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111-1-111-1-11-11
χ1311111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-11-11-1-1-1-111-1-11111-1-1-1-11-11-1111-1-1-111-1-111111-1-1
χ1411111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-1-1-11
χ1511111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111
χ1611111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-11-11-1-1-1111-1-1111111-11-1
χ17222222-2-222222200222200-2-2-2-200000-2-2000000000022-2-20022-2-2000000-2-2220000002-20000000000000
χ18222222-2-222222200222200-2-2-2-200000-2-200000000002-2-2200222200000022-2-2000000-2-20000000000000
χ19222222-2-222222200222200-2-2-2-200000-2-20000000000-222-200-2-2-2-200000022-2-2000000220000000000000
χ20222222-2-222222200222200-2-2-2-200000-2-20000000000-2-22200-2-222000000-2-222000000-220000000000000
χ2122222-1222-12-12-122-1-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-10002022200-1-1-1-12-1-1-10000200200-10-1-100-1-10000-100
χ2222222-1222-12-12-122-1-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-1000-20-2-2-20011-1-12-1-1-10000-200-200101100110000100
χ2322222-1222-12-12-122-1-1-1-1-2-22-12-1-222-1-1-1-1-2-21111110002022200-1-1-1-1-21110000-200-200-10-1-100110000100
χ2422222-1222-12-12-122-1-1-1-1-2-22-12-1-222-1-1-1-1-2-2111111000-20-2-2-20011-1-1-21110000200200101100-1-10000-100
χ2522222-1222-12-12-1-2-2-1-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-1000202-2-200-1-111-21110000-200200-101100-1-10000100
χ2622222-1222-12-12-1-2-2-1-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-1000-20-222001111-21110000200-20010-1-100110000-100
χ2722222-1222-12-12-1-2-2-1-1-1-1-2-22-12-12-2-211-1-1-2-2111111000202-2-200-1-1112-1-1-10000200-200-101100110000-100
χ2822222-1222-12-12-1-2-2-1-1-1-1-2-22-12-12-2-211-1-1-2-2111111000-20-2220011112-1-1-10000-20020010-1-100-1-10000100
χ292222-1222-12-12-1222-1-1-1-122-12-122-1-122-1-1-1-122-1-1-1-122202000-1-100-1-1-12-1-100000220-1-10-100-1-10000000-10
χ302222-1222-12-12-1222-1-1-1-122-12-122-1-122-1-1-1-122-1-1-1-1-2-2-20-20001100-1-1-12-1-100000-2-2011010011000000010
χ312222-1222-12-12-1222-1-1-1-1-2-2-12-12-2-1-122-1-111-2-2111122202000-1-100-1-11-21100000-2-20-1-10-10011000000010
χ322222-1222-12-12-1222-1-1-1-1-2-2-12-12-2-1-122-1-111-2-21111-2-2-20-20001100-1-11-21100000220110100-1-10000000-10
χ332222-1222-12-12-12-2-2-1-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-122-20-20001100111-211000002-20-1-10100110000000-10
χ342222-1222-12-12-12-2-2-1-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-1-2-2202000-1-100111-21100000-220110-100-1-1000000010
χ352222-1222-12-12-12-2-2-1-1-1-1-2-2-12-12211-2-2-1-111-2-2111122-20-2000110011-12-1-100000-220-1-10100-1-1000000010
χ362222-1222-12-12-12-2-2-1-1-1-1-2-2-12-12211-2-2-1-111-2-21111-2-2202000-1-10011-12-1-1000002-20110-100110000000-10
χ3722-2-2222-222-2-2-2-22-22-22-20022-2-202-22-22-2000000000000000000002-200002-22-2000000000000002-200000
χ3822-2-2222-222-2-2-2-22-22-22-20022-2-202-22-22-2000000000000000000002-20000-22-2200000000000000-2200000
χ3922-2-2222-222-2-2-2-2-222-22-20022-2-20-22-222-200000000000000000000-2200002-22-200000000000000-2200000
χ4022-2-2222-222-2-2-2-2-222-22-20022-2-20-22-222-200000000000000000000-220000-22-22000000000000002-200000
χ4122-2-222-2222-2-2-2-2002-22-200-2-22200000-22000000002i−2i00002i−2i00000000002-2-2200002i−2i002i−2i00000000000
χ4222-2-222-2222-2-2-2-2002-22-200-2-22200000-22000000002i−2i0000−2i2i0000000000-222-200002i−2i00−2i2i00000000000
χ4322-2-222-2222-2-2-2-2002-22-200-2-22200000-2200000000−2i2i00002i−2i0000000000-222-20000−2i2i002i−2i00000000000
χ4422-2-222-2222-2-2-2-2002-22-200-2-22200000-2200000000−2i2i0000−2i2i00000000002-2-220000−2i2i00−2i2i00000000000
χ4544444-2-4-44-24-24-200-2-2-2-200-42-4200000220000000000040-40000220000000000000000-200000000000000
χ4644444-2-4-44-24-24-200-2-2-2-200-42-42000002200000000000-4040000-2-20000000000000000200000000000000
χ474444-24-4-4-24-24-2400-2-2-2-2002-42-40000022000000000040-4000-2-2000000000000000000020000000000000
χ484444-24-4-4-24-24-2400-2-2-2-2002-42-400000220000000000-404000220000000000000000000-20000000000000
χ494444-2-244-2-2-2-2-2-244111144-2-2-2-24-2-2-2-211-2-2-2-2111100000000000011-2-2110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000000001122-1-10000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-4222211-2-2-2-21111000000000000-1-122-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-242222112222-1-1-1-1000000000000-1-1-2-2110000000000000000000000000
χ5344-4-44-24-44-2-42-424-4-22-22004-2-4204-4-22-2200000000000000000000-2200000000000000000000000000000
χ5444-4-44-24-44-2-42-42-44-22-22004-2-420-442-2-22000000000000000000002-200000000000000000000000000000
χ5544-4-44-2-444-2-42-4200-22-2200-424-2000002-2000000000000004i−4i0000000000000000000000−2i2i00000000000
χ5644-4-44-2-444-2-42-4200-22-2200-424-2000002-200000000000000−4i4i00000000000000000000002i−2i00000000000
χ5744-4-4-244-4-242-42-44-4-22-2200-242-40-224-4-2200000000000000000000-2200000000000000000000000000000
χ5844-4-4-244-4-242-42-4-44-22-2200-242-402-2-44-22000000000000000000002-200000000000000000000000000000
χ5944-4-4-24-44-242-42-400-22-22002-4-24000002-2000000004i−4i000000000000000000000000−2i2i000000000000000
χ6044-4-4-24-44-242-42-400-22-22002-4-24000002-200000000−4i4i0000000000000000000000002i−2i000000000000000
χ6144-4-4-2-24-4-2-222224-41-11-100-2-2220-22-221-100003i3i−3i−3i0000000000001-1003i−3i0000000000000000000000000
χ6244-4-4-2-24-4-2-222224-41-11-100-2-2220-22-221-10000−3i−3i3i3i0000000000001-100−3i3i0000000000000000000000000
χ6344-4-4-2-24-4-2-22222-441-11-100-2-22202-22-21-100003i3i−3i−3i000000000000-1100−3i3i0000000000000000000000000
χ6444-4-4-2-24-4-2-22222-441-11-100-2-22202-22-21-10000−3i−3i3i3i000000000000-11003i−3i0000000000000000000000000
χ654-44-44400-4-444-4-40044-4-4−2i22i200000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000000
χ664-44-44400-4-444-4-40044-4-42i2−2i2000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000000
χ674-44-44-200-424-2-4200-2-222−2i22i200000000000−2i22i2i2−i2i2−i2i2−i2000000000023−230000000000000000000000i6−i60000000
χ684-44-44-200-424-2-4200-2-222−2i22i200000000000−2i22i2i2−i2i2−i2i2−i20000000000−23230000000000000000000000−i6i60000000
χ694-44-44-200-424-2-4200-2-2222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i2000000000023−230000000000000000000000−i6i60000000
χ704-44-44-200-424-2-4200-2-2222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i20000000000−23230000000000000000000000i6−i60000000
χ714-44-4-24002-4-242-400-2-222−2i22i200000000000i2−i2−2i22i2i2−i2i2−i200000000−2i32i300000000000000000000006−6000000000
χ724-44-4-24002-4-242-400-2-222−2i22i200000000000i2−i2−2i22i2i2−i2i2−i2000000002i3−2i30000000000000000000000−66000000000
χ734-44-4-24002-4-242-400-2-2222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i200000000−2i32i30000000000000000000000−66000000000
χ744-44-4-24002-4-242-400-2-2222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i2000000002i3−2i300000000000000000000006−6000000000
χ754-4-444400-4-4-4-444004-4-440000000000000000000000000000000000000000000000000000000000022−22000
χ764-4-444400-4-4-4-444004-4-4400000000000000000000000000000000000000000000000000000000000−2222000
χ778888-4-4-8-8-4-4-4-4-4-400222200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4-88-4-44444002-22-20044-4-400000-22000000000000000000000000000000000000000000000000000
χ798-88-8-4-40044-4-4440022-2-2−4i24i2000000000002i2−2i22i2−2i2−i2i2−i2i20000000000000000000000000000000000000000000
χ808-88-8-4-40044-4-4440022-2-24i2−4i200000000000−2i22i2−2i22i2i2−i2i2−i20000000000000000000000000000000000000000000
χ818-8-888-400-84-848-400-444-40000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-84-8-4800-444-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-4002-2-220000000000000000032−32−32320000000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-4002-2-2200000000000000000−323232−320000000000000000000000000000000000000000000

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