Finite Group Databasebeta

← Group #11872815

Character table — Group #11872815

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order122233446666662236668812121212466661212242424242424242422244444661212661212121244444466881212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1111-11-11-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-11-1-1-11-11-111-1-111-1-1-1-1-11-1
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
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1111-1-11-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-1-111-11111-1-1-1-1111-11
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1
χ911111111111111-1-11111111111-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-11111-1-11-11
χ1011111111111111-1-11111111111-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1
χ1111111111111111-1-11111111111-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-111111-1-111-1-1-111
χ1311111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-11-111-111-1-1-111-1-11111-11-1
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
χ1611111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-11-1-1111-1-11111111-1-1
χ17222222-2-222222200222200-2-2-2-200000-2-200000000002-22-200222200000022-2-2000000-2-20000000000000
χ18222222-2-222222200222200-2-2-2-200000-2-200000000002-2-220022-2-2000000-2-2220000002-20000000000000
χ19222222-2-222222200222200-2-2-2-200000-2-20000000000-222-200-2-222000000-2-222000000-220000000000000
χ20222222-2-222222200222200-2-2-2-200000-2-20000000000-22-2200-2-2-2-200000022-2-2000000220000000000000
χ2122222-122-12-1-12222-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-122220000-1-100-1-1-12-1-1000002-1-1020-100-1-1000000-100
χ2222222-122-12-1-12222-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-2-2-2-200001100-1-1-12-1-100000-2110-2010011000000100
χ2322222-122-12-1-12222-1-1-1-1-2-22-1-12-222-1-1-1-111-2-2111122220000-1-100-1-11-21100000-2-1-10-20-10011000000100
χ2422222-122-12-1-12222-1-1-1-1-2-22-1-12-222-1-1-1-111-2-21111-2-2-2-200001100-1-11-21100000211020100-1-1000000-100
χ2522222-122-12-1-122-2-2-1-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-122-2-200001100111-211000002-1-10-2010011000000-100
χ2622222-122-12-1-122-2-2-1-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1-2-2220000-1-100111-21100000-211020-100-1-1000000100
χ2722222-122-12-1-122-2-2-1-1-1-1-2-22-1-122-2-211-1-111-2-2111122-2-20000110011-12-1-100000-2-1-1020100-1-1000000100
χ2822222-122-12-1-122-2-2-1-1-1-1-2-22-1-122-2-211-1-111-2-21111-2-2220000-1-10011-12-1-1000002110-20-10011000000-100
χ292222-12222-122-1-122-1-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10000222200-1-1-1-12-1-1-10000200020-10-1-100-1-100000-10
χ302222-12222-122-1-122-1-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10000-2-2-2-20011-1-12-1-1-10000-2000-20101100110000010
χ312222-12222-122-1-122-1-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110000222200-1-1-1-1-21110000-2000-20-10-1-100110000010
χ322222-12222-122-1-122-1-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110000-2-2-2-20011-1-1-21110000200020101100-1-100000-10
χ332222-12222-122-1-1-2-2-1-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-1000022-2-200-1-111-21110000-200020-101100-1-10000010
χ342222-12222-122-1-1-2-2-1-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-10000-2-222001111-211100002000-2010-1-1001100000-10
χ352222-12222-122-1-1-2-2-1-1-1-1-2-2-122-1211-2-2-1-1-2-2111111000022-2-200-1-1112-1-1-100002000-20-1011001100000-10
χ362222-12222-122-1-1-2-2-1-1-1-1-2-2-122-1211-2-2-1-1-2-21111110000-2-2220011112-1-1-10000-20002010-1-100-1-10000010
χ3722-2-2222-2-2-22-22-22-22-2-2200-22-2202-22-2-22000000000000000000002-200002i−2i2i−2i000000000000002i−2i00000
χ3822-2-2222-2-2-22-22-22-22-2-2200-22-2202-22-2-22000000000000000000002-20000−2i2i−2i2i00000000000000−2i2i00000
χ3922-2-2222-2-2-22-22-2-222-2-2200-22-220-22-22-2200000000000000000000-2200002i−2i2i−2i00000000000000−2i2i00000
χ4022-2-2222-2-2-22-22-2-222-2-2200-22-220-22-22-2200000000000000000000-220000−2i2i−2i2i000000000000002i−2i00000
χ4122-2-222-22-2-22-22-2002-2-22002-22-2000002-2000000002-200002i−2i00000000002i−2i−2i2i002-200002i−2i00000000000
χ4222-2-222-22-2-22-22-2002-2-22002-22-2000002-2000000002-20000−2i2i0000000000−2i2i2i−2i002-20000−2i2i00000000000
χ4322-2-222-22-2-22-22-2002-2-22002-22-2000002-200000000-2200002i−2i0000000000−2i2i2i−2i00-2200002i−2i00000000000
χ4422-2-222-22-2-22-22-2002-2-22002-22-2000002-200000000-220000−2i2i00000000002i−2i−2i2i00-220000−2i2i00000000000
χ4544444-2-4-4-24-2-24400-2-2-2-200-422-4000002200000000004-40000-2-2000000000000000000020000000000000
χ4644444-2-4-4-24-2-24400-2-2-2-200-422-400000220000000000-440000220000000000000000000-20000000000000
χ474444-24-4-44-244-2-200-2-2-2-2002-4-4200000220000000000004-40000-2-20000000000000000200000000000000
χ484444-24-4-44-244-2-200-2-2-2-2002-4-420000022000000000000-440000220000000000000000-200000000000000
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
χ5344-4-44-24-42-4-224-44-4-222-200-4-22404-4-222-200000000000000000000-2200000000000000000000000000000
χ5444-4-44-24-42-4-224-4-44-222-200-4-2240-442-22-2000000000000000000002-200000000000000000000000000000
χ5544-4-44-2-442-4-224-400-222-20042-2-400000-22000000004-40000000000000000000000-2200000000000000000
χ5644-4-44-2-442-4-224-400-222-20042-2-400000-2200000000-4400000000000000000000002-200000000000000000
χ5744-4-4-244-4-424-4-224-4-222-20024-4-20-224-42-200000000000000000000-2200000000000000000000000000000
χ5844-4-4-244-4-424-4-22-44-222-20024-4-202-2-442-2000000000000000000002-200000000000000000000000000000
χ5944-4-4-24-44-424-4-2200-222-200-2-44200000-22000000000000004i−4i0000000000000000000000−2i2i00000000000
χ6044-4-4-24-44-424-4-2200-222-200-2-44200000-2200000000000000−4i4i00000000000000000000002i−2i00000000000
χ6144-4-4-2-24-422-22-224-41-1-11002-22-20-22-22-11000033-3-30000000000001-1003-30000000000000000000000000
χ6244-4-4-2-24-422-22-224-41-1-11002-22-20-22-22-110000-3-3330000000000001-100-330000000000000000000000000
χ6344-4-4-2-24-422-22-22-441-1-11002-22-202-22-2-11000033-3-3000000000000-1100-330000000000000000000000000
χ6444-4-4-2-24-422-22-22-441-1-11002-22-202-22-2-110000-3-333000000000000-11003-30000000000000000000000000
χ654-44-444004-4-4-4-440044-4-4−2i22i200000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000000
χ664-44-444004-4-4-4-440044-4-42i2−2i2000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000000
χ674-44-44-200-2-422-4400-2-222−2i22i200000000000i2−i2−2i22i2i2−i2i2−i200000000−2i32i300000000000000000000006−6000000000
χ684-44-44-200-2-422-4400-2-222−2i22i200000000000i2−i2−2i22i2i2−i2i2−i2000000002i3−2i30000000000000000000000−66000000000
χ694-44-44-200-2-422-4400-2-2222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i200000000−2i32i30000000000000000000000−66000000000
χ704-44-44-200-2-422-4400-2-2222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i2000000002i3−2i300000000000000000000006−6000000000
χ714-44-4-240042-4-42-200-2-222−2i22i200000000000−2i22i2i2−i2i2−i2i2−i20000000000−2i32i300000000000000000000006−60000000
χ724-44-4-240042-4-42-200-2-222−2i22i200000000000−2i22i2i2−i2i2−i2i2−i200000000002i3−2i30000000000000000000000−660000000
χ734-44-4-240042-4-42-200-2-2222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i20000000000−2i32i30000000000000000000000−660000000
χ744-44-4-240042-4-42-200-2-2222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i200000000002i3−2i300000000000000000000006−60000000
χ754-4-444400-44-44-4-4004-44-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ764-4-444400-44-44-4-4004-44-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ778888-4-4-8-8-4-4-4-4-4-400222200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4-8844-44-44002-2-2200-44-44000002-2000000000000000000000000000000000000000000000000000
χ798-88-8-4-400-44444-40022-2-2−4i24i2000000000002i2−2i22i2−2i2−i2i2−i2i20000000000000000000000000000000000000000000
χ808-88-8-4-400-44444-40022-2-24i2−4i200000000000−2i22i2−2i22i2i2−i2i2−i20000000000000000000000000000000000000000000
χ818-8-888-400484-4-8-800-44-440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-4800-8-4-884400-44-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-44-444002-22-200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000000
χ848-8-88-4-4004-44-444002-22-2000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000000

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