Finite Group Databasebeta

← Group #11872339

Character table — Group #11872339

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order12223344666666344666881212121221212121212122424242424242424222444441212121266661212444424666881212122424242444886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-11111-11-1-1-111-1-1-1-1-1-1-11-1
χ311111111111111111111111111111111111111111-1-1-1-1111111-1-1111111-1-1-1-11-1-1-1-11-1111-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1111-1-1111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-111-1-1111-11
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1111111-1-1-1-111-111
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-1-1-1-11111-1-1-111
χ10111111111111111-1-1111111111-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-11-11-11111-1-111-1-11-11
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-11-111-1-111-1-111-1-111111-1-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-111-111-1111111-1-1-1-1-1-11
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1111
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-11-1-111-1-111-1-1111111-11-1
χ17222222-2-222222220022200-2-2-2-200000-2-200000000002-22-20022-2-2000000-2-2220000200-20000000000000
χ18222222-2-222222220022200-2-2-2-200000-2-200000000002-2-2200-2-2-2-200000022-2-2000020020000000000000
χ19222222-2-222222220022200-2-2-2-200000-2-20000000000-222-200222200000022-2-20000-200-20000000000000
χ20222222-2-222222220022200-2-2-2-200000-2-20000000000-22-2200-2-222000000-2-2220000-20020000000000000
χ2122222-122-122-1-12-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-12222000000-1-12-1-1-1-1-1000002-1-1-102000-1-10000000-10
χ2222222-122-122-1-12-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-2-2-2-2000000112-1-1-1-1-100000-21110-200011000000010
χ2322222-122-122-1-12-122-1-1-1-2-22-1-12-222-1-1-1-111-2-211112222000000-1-1-2111-1-100000-2-1-1-10-200011000000010
χ2422222-122-122-1-12-122-1-1-1-2-22-1-12-222-1-1-1-111-2-21111-2-2-2-200000011-2111-1-100000211102000-1-10000000-10
χ2522222-122-122-1-12-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-122-2-200000011-211111000002-1-110-2000110000000-10
χ2622222-122-122-1-12-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1-2-222000000-1-1-21111100000-211-102000-1-1000000010
χ2722222-122-122-1-12-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-2111122-2-2000000112-1-1-11100000-2-1-1102000-1-1000000010
χ2822222-122-122-1-12-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-21111-2-222000000-1-12-1-1-11100000211-10-2000110000000-10
χ292222-12222-1-122-1-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-100002222-1-100-12-1-1-1-100002000020-1-1-100-1-10000-100
χ302222-12222-1-122-1-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10000-2-2-2-21100-12-1-1-1-10000-20000-2011100110000100
χ312222-12222-1-122-1-122-1-1-1-2-2-122-1-2-1-122-1-1-2-211111100002222-1-1001-211-1-10000-20000-20-1-1-100110000100
χ322222-12222-1-122-1-122-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110000-2-2-2-211001-211-1-10000200002011100-1-10000-100
χ332222-12222-1-122-1-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-1000022-2-2-1-1001-211110000-2000020-11100-1-10000100
χ342222-12222-1-122-1-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-10000-2-22211001-21111000020000-201-1-100110000-100
χ352222-12222-1-122-1-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-2111111000022-2-2-1-100-12-1-111000020000-20-11100110000-100
χ362222-12222-1-122-1-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-21111110000-2-2221100-12-1-1110000-20000201-1-100-1-10000100
χ3722-2-2222-2-22-22-2-222-2-2-2200-22-2202-22-2-220000000000000000000000002-22i−2i2i−2i000000000000002i−2i00000
χ3822-2-2222-2-22-22-2-222-2-2-2200-22-2202-22-2-220000000000000000000000002-2−2i2i−2i2i00000000000000−2i2i00000
χ3922-2-2222-2-22-22-2-22-22-2-2200-22-220-22-22-22000000000000000000000000-222i−2i2i−2i00000000000000−2i2i00000
χ4022-2-2222-2-22-22-2-22-22-2-2200-22-220-22-22-22000000000000000000000000-22−2i2i−2i2i000000000000002i−2i00000
χ4122-2-222-22-22-22-2-2200-2-22002-22-2000002-2000000002-200002i−2i00000000002i−2i−2i2i002-200002i−2i00000000000
χ4222-2-222-22-22-22-2-2200-2-22002-22-2000002-2000000002-20000−2i2i0000000000−2i2i2i−2i002-20000−2i2i00000000000
χ4322-2-222-22-22-22-2-2200-2-22002-22-2000002-200000000-2200002i−2i0000000000−2i2i2i−2i00-2200002i−2i00000000000
χ4422-2-222-22-22-22-2-2200-2-22002-22-2000002-200000000-220000−2i2i00000000002i−2i−2i2i00-220000−2i2i00000000000
χ4544444-2-4-4-244-2-24-200-2-2-200-422-4000002200000000004-40000002200000000000000-20000000000000000
χ4644444-2-4-4-244-2-24-200-2-2-200-422-400000220000000000-44000000-2-20000000000000020000000000000000
χ474444-24-4-44-2-244-2-200-2-2-2002-4-4200000220000000000004-400-2-2000000000000000000020000000000000
χ484444-24-4-44-2-244-2-200-2-2-2002-4-420000022000000000000-4400220000000000000000000-20000000000000
χ494444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-21111000000000000-2-211110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-100000000000022-1-1110000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-2111100000000000022-1-1-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-1000000000000-2-211-1-10000000000000000000000000
χ5344-4-44-24-424-4-22-4-24-422-200-4-22404-4-222-2000000000000000000000000-220000000000000000000000000
χ5444-4-44-24-424-4-22-4-2-4422-200-4-2240-442-22-20000000000000000000000002-20000000000000000000000000
χ5544-4-44-2-4424-4-22-4-20022-20042-2-400000-22000000004-40000000000000000000000-2200000000000000000
χ5644-4-44-2-4424-4-22-4-20022-20042-2-400000-2200000000-4400000000000000000000002-200000000000000000
χ5744-4-4-244-4-4-224-42-24-422-20024-4-20-224-42-2000000000000000000000000-220000000000000000000000000
χ5844-4-4-244-4-4-224-42-2-4422-20024-4-202-2-442-20000000000000000000000002-20000000000000000000000000
χ5944-4-4-24-44-4-224-42-20022-200-2-44200000-22000000000000004i−4i0000000000000000000000−2i2i00000000000
χ6044-4-4-24-44-4-224-42-20022-200-2-44200000-2200000000000000−4i4i00000000000000000000002i−2i00000000000
χ6144-4-4-2-24-42-22-22214-4-1-11002-22-20-22-22-11000033-3-3000000000000003-31-10000000000000000000000000
χ6244-4-4-2-24-42-22-22214-4-1-11002-22-20-22-22-110000-3-33300000000000000-331-10000000000000000000000000
χ6344-4-4-2-24-42-22-2221-44-1-11002-22-202-22-2-11000033-3-300000000000000-33-110000000000000000000000000
χ6444-4-4-2-24-42-22-2221-44-1-11002-22-202-22-2-110000-3-333000000000000003-3-110000000000000000000000000
χ654-44-444004-44-4-4-44004-4-4−2i22i200000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000000
χ664-44-444004-44-4-4-44004-4-42i2−2i2000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000000
χ674-44-44-200-2-4422-4-200-222−2i22i200000000000i2−i2−2i22i2i2−i2i2−i2000000000023−2300000000000000000000i6−i6000000000
χ684-44-44-200-2-4422-4-200-222−2i22i200000000000i2−i2−2i22i2i2−i2i2−i20000000000−232300000000000000000000−i6i6000000000
χ694-44-44-200-2-4422-4-200-2222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i2000000000023−2300000000000000000000−i6i6000000000
χ704-44-44-200-2-4422-4-200-2222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i20000000000−232300000000000000000000i6−i6000000000
χ714-44-4-240042-2-4-42-200-222−2i22i200000000000−2i22i2i2−i2i2−i2i2−i200000000−2i32i30000000000000000000000006−60000000
χ724-44-4-240042-2-4-42-200-222−2i22i200000000000−2i22i2i2−i2i2−i2i2−i2000000002i3−2i3000000000000000000000000−660000000
χ734-44-4-240042-2-4-42-200-2222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i200000000−2i32i3000000000000000000000000−660000000
χ744-44-4-240042-2-4-42-200-2222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i2000000002i3−2i30000000000000000000000006−60000000
χ754-4-444400-4-4-4-444400-44-40000000000000000000000000000000000000000000000000000000000022−22000
χ764-4-444400-4-4-4-444400-44-400000000000000000000000000000000000000000000000000000000000−2222000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4-884-44-444200-2-2200-44-44000002-2000000000000000000000000000000000000000000000000000
χ798-88-8-4-400-44-44442002-2-2−4i24i2000000000002i2−2i22i2−2i2−i2i2−i2i20000000000000000000000000000000000000000000
χ808-88-8-4-400-44-44442002-2-24i2−4i200000000000−2i22i2−2i22i2i2−i2i2−i20000000000000000000000000000000000000000000
χ818-8-888-4004-8-84-48-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-4800-844-88-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-4200-22-200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-4200-22-2000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000000

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