Finite Group Databasebeta

← Group #11878610

Character table — Group #11878610

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444488888888888888881212121212121212161616161616242424242424242424242424242424243636363648487272
order12223344666666366688121212124412121212121224242424242424242244661212121212121212244466688121212242424242488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-111-1-1111111-111-1-1-1-11-111111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-11-11-1-1111111111-1-11111-11-1-1-1-1-111-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111111111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-111111111111-11-111-1-1-1-1-1-1-1-11-1-11-1111-11-1-111-1-1-1-1-1-1-1111
χ7111111111111111111111111-1-1-1-1-1-11111111111-11-11-1-111-1-1-1-1-1-1-111-11-1-1-11-111-1-111-1-1-1-11-111
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-1111111-1-1
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111111111-111-1-1-11-111-1-1-1-1111-1-1-1-111-1-1-111-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-11-11-111-1-11-111-1-111-1-1-111-11111-1-111-1-111-1-1-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1111-111-1-1-1-1111-1-11-1-1-1-111-1-1-1-11111-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-11-1-11111-1-1-1111111-1-11-11-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111111111-11-1-1111-11-1111-1-11-1-1-1-1-1-111-1-11-1-11
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-11-1-111-1-111-1-1-1-111-1-1-1-111-1-111111-1
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-11-1-11111-1-11111-1-11111-1-1-1-111-1-11-1
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-11-1-1-111-111111111-1-1-11-11
χ17222222-2-2222222222200-2-2-2-2000000-2-20000000022-2-222-2-2000000000020000-2000000-22000000
χ18222222-2-2222222222200-2-2-2-2000000-2-2000000002-2-2222220000000000-20000-20000002-2000000
χ19222222-2-2222222222200-2-2-2-2000000-2-200000000-222-2-2-2-2-200000000002000020000002-2000000
χ20222222-2-2222222222200-2-2-2-2000000-2-200000000-2-222-2-2220000000000-200002000000-22000000
χ2122222-122-1-1222-1-1-1-1-1222-12-12222-1-1-1-122-1-1-1-1-1-1020200-1-1-12-1-1-1-12002-1-1-10200000-1-100000-100
χ2222222-122-1-1222-1-1-1-1-1222-12-12222-1-1-1-122-1-1-1-1-1-10-20-20011-12-1-1-1-1-200-21110-2000001100000100
χ2322222-122-1-1222-1-1-1-1-1222-12-1-2-2-2-211-1-122-1-1-1-1-1-1020200-1-11-21111-200-2-1110200000-1-100000100
χ2422222-122-1-1222-1-1-1-1-1222-12-1-2-2-2-211-1-122-1-1-1-1-1-10-20-200111-2111120021-1-10-2000001100000-100
χ2522222-122-1-1222-1-1-1-1-1-2-22-12-12-22211-1-1-2-2111111020200-1-1-1-2-1-111-2002-1110-2000001100000-100
χ2622222-122-1-1222-1-1-1-1-1-2-22-12-12-22211-1-1-2-21111110-20-20011-1-2-1-111200-21-1-10200000-1-100000100
χ2722222-122-1-1222-1-1-1-1-1-2-22-12-1-22-2-2-1-1-1-1-2-2111111020200-1-11211-1-1200-2-1-1-10-2000001100000100
χ2822222-122-1-1222-1-1-1-1-1-2-22-12-1-22-2-2-1-1-1-1-2-21111110-20-200111211-1-1-20021110200000-1-100000-100
χ292222-122222-1-1-12-1-1-1-122-12-1222-1-122-1-1-1-122-1-1-1-12020-1-1002-1-1-1-1-1022000020-1-1-1-1-1000000-1000
χ302222-122222-1-1-12-1-1-1-122-12-1222-1-122-1-1-1-122-1-1-1-1-20-2011002-1-1-1-1-10-2-20000-20111110000001000
χ312222-122222-1-1-12-1-1-1-122-12-12-2-211-2-2-1-1-1-122-1-1-1-12020-1-100-2111110-2-2000020-111-1-10000001000
χ322222-122222-1-1-12-1-1-1-122-12-12-2-211-2-2-1-1-1-122-1-1-1-1-20-201100-2111110220000-201-1-111000000-1000
χ332222-122222-1-1-12-1-1-1-1-2-2-12-122-2-1-1-2-2-1-111-2-211112020-1-10021-1-11102-20000-20-1-1-1110000001000
χ342222-122222-1-1-12-1-1-1-1-2-2-12-122-2-1-1-2-2-1-111-2-21111-20-20110021-1-1110-22000020111-1-1000000-1000
χ352222-122222-1-1-12-1-1-1-1-2-2-12-12-221122-1-111-2-211112020-1-100-2-111-1-10-220000-20-11111000000-1000
χ362222-122222-1-1-12-1-1-1-1-2-2-12-12-221122-1-111-2-21111-20-201100-2-111-1-102-20000201-1-1-1-10000001000
χ3744444-2-4-4-2-2444-2-2-2-2-200-42-420000002200000000040-400220000000000-20000000000000000000
χ3844444-2-4-4-2-2444-2-2-2-2-200-42-4200000022000000000-40400-2-2000000000020000000000000000000
χ394444-24-4-444-2-2-24-2-2-2-2002-42-4000000220000000040-40-2-200000000000000000200000000000000
χ404444-24-4-444-2-2-24-2-2-2-2002-42-40000002200000000-40402200000000000000000-200000000000000
χ414444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-2111100000000-2-21111000000000000000000000000
χ424444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-211110000000022-1-1-1-1000000000000000000000000
χ434444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-100000000-2211-1-1000000000000000000000000
χ444444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-1000000002-2-1-111000000000000000000000000
χ4544-4-44400-44-4-44-44-44-4−2i22i2000000000000−2i22i2−2i22i2−2i2−2i22i22i200000000000000000000000000000000000000
χ4644-4-44400-44-4-44-44-44-42i2−2i20000000000002i2−2i22i2−2i22i22i2−2i2−2i200000000000000000000000000000000000000
χ4744-4-44-2002-2-4-442-22-22−2i22i2000000000000−2i22i2i2−i2i2i2−i2−i200000023−2300000000000000000000i6−i600000000
χ4844-4-44-2002-2-4-442-22-22−2i22i2000000000000−2i22i2i2−i2i2i2−i2−i2000000−232300000000000000000000−i6i600000000
χ4944-4-44-2002-2-4-442-22-222i2−2i20000000000002i2−2i2−i2i2−i2−i2i2i200000023−2300000000000000000000−i6i600000000
χ5044-4-44-2002-2-4-442-22-222i2−2i20000000000002i2−2i2−i2i2−i2−i2i2i2000000−232300000000000000000000i6−i600000000
χ5144-4-4-2400-4422-2-4-22-22−2i22i2000000000000i2−i2−2i22i2i2i2−i2−i20000−2i32i3000000000000000000006−60000000000
χ5244-4-4-2400-4422-2-4-22-22−2i22i2000000000000i2−i2−2i22i2i2i2−i2−i200002i3−2i300000000000000000000−660000000000
χ5344-4-4-2400-4422-2-4-22-222i2−2i2000000000000−i2i22i2−2i2−i2−i2i2i20000−2i32i300000000000000000000−660000000000
χ5444-4-4-2400-4422-2-4-22-222i2−2i2000000000000−i2i22i2−2i2−i2−i2i2i200002i3−2i3000000000000000000006−60000000000
χ554-44-444004-44-4-4-444-4-4000000000000000000000000000000000000000000000000000000−2i22i20000
χ564-44-444004-44-4-4-444-4-40000000000000000000000000000000000000000000000000000002i2−2i20000
χ574-4-44444-4-4-4-44-444-4-4400-4-4440000004-40000000000000000000000000000000000000000000000
χ584-4-4444-44-4-4-44-444-4-440044-4-4000000-440000000000000000000000000000000000000000000000
χ594-4-444-24-422-44-4-2-222-200-424-20000−2i32i3-2200000000000000000000−2i32i3000000000000000000000000
χ604-4-444-24-422-44-4-2-222-200-424-200002i3−2i3-22000000000000000000002i3−2i3000000000000000000000000
χ614-4-444-2-4422-44-4-2-222-2004-2-420000002-2000000000000000000000000000−2i32i300000000000000000
χ624-4-444-2-4422-44-4-2-222-2004-2-420000002-20000000000000000000000000002i3−2i300000000000000000
χ634-4-44-244-4-4-42-224-222-2002-4-240023−2300-2200000000000000000023−2300000000000000000000000000
χ644-4-44-244-4-4-42-224-222-2002-4-2400−232300-22000000000000000000−232300000000000000000000000000
χ654-4-44-24-44-4-42-224-222-200-242-40000002-20000000000000000000000000000000023−23000000000000
χ664-4-44-24-44-4-42-224-222-200-242-40000002-200000000000000000000000000000000−2323000000000000
χ674-4-44-2-24-4222-22-21-1-110022-2-20023−23−2i32i31-100003i−3i3i−3i0000000000−33i3−i3000000000000000000000000
χ684-4-44-2-24-4222-22-21-1-110022-2-20023−232i3−2i31-10000−3i3i−3i3i0000000000−33−i3i3000000000000000000000000
χ694-4-44-2-24-4222-22-21-1-110022-2-200−2323−2i32i31-10000−3i3i−3i3i00000000003−3i3−i3000000000000000000000000
χ704-4-44-2-24-4222-22-21-1-110022-2-200−23232i3−2i31-100003i−3i3i−3i00000000003−3−i3i3000000000000000000000000
χ718888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000
χ7288-8-8-4-4004-444-442-22-2−4i24i20000000000002i2−2i22i2−2i2−i2−i2i2i200000000000000000000000000000000000000
χ7388-8-8-4-4004-444-442-22-24i2−4i2000000000000−2i22i2−2i22i2i2i2−i2−i200000000000000000000000000000000000000
χ748-88-88-400-448-8-84-4-444000000000000000000000000000000000000000000000000000000000000
χ758-88-8-48008-8-444-8-4-444000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-400-44-444422-2-200000000000000000032−32−323200000000000000000000000000000000000000
χ778-88-8-4-400-44-444422-2-2000000000000000000−323232−3200000000000000000000000000000000000000
χ788-8-88-4-4-88444-44-42-2-2200-4-444000000-220000000000000000000000000000000000000000000000

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