Finite Group Databasebeta

← Group #11878581

Character table — Group #11878581

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444448888888888881212121212121212121212121212121216161616161616242424242424242424243636484848727272
order12223344666666366688121212122424242424661212242424242424224466881212121224242424666121212124444681212242424121212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-1111111-1-1111111111111-11-1-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111-11-11-1-1-1-1-1-111-1-1-1-11111111-11-11111111-1-1-1-11-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ51111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11
χ61111111111111111111111111111-1-1-1-1111111111-11-1111111-1-11111-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1111-1
χ71111111111111111111111111111-1-1-1-111111111-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-111-1
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111-1-11
χ9111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-1-1-1111-111-1-1111-1-1-11-1
χ10111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1111-1-1-1-1-111-1-11-1-111-1-11-111-11
χ11111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-1-11-11-1-111-1-1111111111-1-1-1-11-1-111-111-1-1-1-1-11-11-11
χ12111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-11-1-11111-111-11-1
χ13111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1111111-1-11-1-1-1-1-111-1111-1-1
χ14111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1-111111-1-11-111111-1-1-11-1-111
χ15111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-11-11-1-111-1-1111111-1-1-11111-111-11-1-1-1-1-1-1-11-11-111
χ16111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11111-1-111-111111111-1-11-1-1
χ17222222-2-2222222222200-2-2-2-200000000-2-200000022-2-22200-2-2-2-2000000000000000200000-22000000
χ18222222-2-2222222222200-2-2-2-200000000-2-20000002-2-222200-2-222000000000000000-2000002-2000000
χ19222222-2-2222222222200-2-2-2-200000000-2-2000000-222-2-2-20022-2-20000000000000002000002-2000000
χ20222222-2-2222222222200-2-2-2-200000000-2-2000000-2-222-2-2002222000000000000000-200000-22000000
χ2122222-12222-1-1-12-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-12020-1-122-1-100-1-1-1-1-1-1-1-12-1-1202000000000-1-10000
χ2222222-12222-1-1-12-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-1-20-2011-2-211001111-1-1-1-12-1-1-20-2000000000110000
χ2322222-12222-1-1-12-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-12020-1-122-1-100-1-1-1-11111-211-20-2000000000110000
χ2422222-12222-1-1-12-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-20-2011-2-2110011111111-211202000000000-1-10000
χ2522222-12222-1-1-12-1-1-1-1-2-2-122-111112-222-1-1-2-211112020-1-1-2-2-1-1001111-1-1-11-211-202000000000-110000
χ2622222-12222-1-1-12-1-1-1-1-2-2-122-111112-222-1-1-2-21111-20-2011221100-1-1-1-1-1-1-11-21120-20000000001-10000
χ2722222-12222-1-1-12-1-1-1-1-2-2-122-11111-22-2-2-1-1-2-211112020-1-1-2-2-1-1001111111-12-1-120-20000000001-10000
χ2822222-12222-1-1-12-1-1-1-1-2-2-122-11111-22-2-2-1-1-2-21111-20-2011221100-1-1-1-1111-12-1-1-202000000000-110000
χ292222-1222-1-1222-1-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-10202000000-1-100002-1-12-1-1-10202-12-1-1-1-10000-1000
χ302222-1222-1-1222-1-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-10-20-20000001100002-1-12-1-1-10-20-21-2111100001000
χ312222-1222-1-1222-1-1-1-1-1222-1-122222-2-211-1-1-1-1-1-1-1-10202000000-1-10000-211-21110-20-2-1211-1-100001000
χ322222-1222-1-1222-1-1-1-1-1222-1-122222-2-211-1-1-1-1-1-1-1-10-20-2000000110000-211-211102021-2-1-1110000-1000
χ332222-1222-1-1222-1-1-1-1-1-2-22-1-12-2-2-2-22-2-1-1-1-11111110202000000-1-100002-1-1-21110-202-1-2-1-11100001000
χ342222-1222-1-1222-1-1-1-1-1-2-22-1-12-2-2-2-22-2-1-1-1-11111110-20-20000001100002-1-1-2111020-21211-1-10000-1000
χ352222-1222-1-1222-1-1-1-1-1-2-22-1-12-2-2-2-2-2211-1-11111110202000000-1-10000-2112-1-1-1020-2-1-211110000-1000
χ362222-1222-1-1222-1-1-1-1-1-2-22-1-12-2-2-2-2-2211-1-11111110-20-2000000110000-2112-1-1-10-20212-1-1-1-100001000
χ3744444-2-4-444-2-2-24-2-2-2-2002-4-42000000002200000040-40-2-200220000000000000000000000000000000
χ3844444-2-4-444-2-2-24-2-2-2-2002-4-420000000022000000-40402200-2-20000000000000000000000000000000
χ394444-24-4-4-2-2444-2-2-2-2-200-422-40000000022000000040-400000022000000000000000-20000000000000
χ404444-24-4-4-2-2444-2-2-2-2-200-422-400000000220000000-404000000-2-200000000000000020000000000000
χ414444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-244-2-211-2-211110000000000000000-211-2-211000000000000000000
χ424444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2-4-42211-2-2111100000000000000002-1-122-1-1000000000000000000
χ434444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222224-4-2-21122-1-1-1-10000000000000000-21122-1-1000000000000000000
χ444444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222-44221122-1-1-1-100000000000000002-1-1-2-211000000000000000000
χ4544-4-44400-444-4-4-444-4-4−2i22i20000−2i2−2i22i22i2000000−2i22i2−2i2−2i22i22i200000000000000000000000000000000000000000
χ4644-4-44400-444-4-4-444-4-42i2−2i200002i22i2−2i2−2i20000002i2−2i22i22i2−2i2−2i200000000000000000000000000000000000000000
χ4744-4-44-200-44-222-4-2-222−2i22i20000i2i2−i2−i2000000−2i22i2i2i2−i2−i20000000023−2300i6i6−i6−i60000000000000000000000000
χ4844-4-44-200-44-222-4-2-222−2i22i20000i2i2−i2−i2000000−2i22i2i2i2−i2−i200000000−232300−i6−i6i6i60000000000000000000000000
χ4944-4-44-200-44-222-4-2-2222i2−2i20000−i2−i2i2i20000002i2−2i2−i2−i2i2i20000000023−2300−i6−i6i6i60000000000000000000000000
χ5044-4-44-200-44-222-4-2-2222i2−2i20000−i2−i2i2i20000002i2−2i2−i2−i2i2i200000000−232300i6i6−i6−i60000000000000000000000000
χ5144-4-4-24002-24-4-42-2-222−2i22i20000−2i2−2i22i22i2000000i2−i2i2i2−i2−i2000000000023−230000000000000000000i6−i600000000
χ5244-4-4-24002-24-4-42-2-222−2i22i20000−2i2−2i22i22i2000000i2−i2i2i2−i2−i20000000000−23230000000000000000000−i6i600000000
χ5344-4-4-24002-24-4-42-2-2222i2−2i200002i22i2−2i2−2i2000000−i2i2−i2−i2i2i2000000000023−230000000000000000000−i6i600000000
χ5444-4-4-24002-24-4-42-2-2222i2−2i200002i22i2−2i2−2i2000000−i2i2−i2−i2i2i20000000000−23230000000000000000000i6−i600000000
χ554-44-444004-4-44-4-44-44-40000000000000000000000000000−2i22i20000−2i22i2−2i22i20000000000000000000000000
χ564-44-444004-4-44-4-44-44-400000000000000000000000000002i2−2i200002i2−2i22i2−2i20000000000000000000000000
χ574-44-44-2004-42-22-4-22-220000006−66−6000000006−66−60000−2i32i3−2i22i20000i2−i2i2−i20000000000000000000000000
χ584-44-44-2004-42-22-4-22-220000006−66−6000000006−66−600002i3−2i32i2−2i20000−i2i2−i2i20000000000000000000000000
χ594-44-44-2004-42-22-4-22-22000000−66−6600000000−66−660000−2i32i32i2−2i20000−i2i2−i2i20000000000000000000000000
χ604-44-44-2004-42-22-4-22-22000000−66−6600000000−66−6600002i3−2i3−2i22i20000i2−i2i2−i20000000000000000000000000
χ614-4-44444-4-4-4-4-4444-4-4400-44-4400000000-4400000000000000000000000000000000000000000000000
χ624-4-4444-44-4-4-4-4444-4-44004-44-4000000004-400000000000000000000000000000000000000000000000
χ634-4-444-24-4-4-422-24-222-20024-4-2−2i32i32i3−2i300002-200−2i32i32i3−2i300000000000000000000000000000000000000000
χ644-4-444-24-4-4-422-24-222-20024-4-22i3−2i3−2i32i300002-2002i3−2i3−2i32i300000000000000000000000000000000000000000
χ654-4-444-2-44-4-422-24-222-200-2-44200000000-2200000000000000000023−23−23230000000000000000000000000
χ664-4-444-2-44-4-422-24-222-200-2-44200000000-22000000000000000000−232323−230000000000000000000000000
χ674-4-44-244-422-4-44-2-222-200-4-224000000−2i32i32-200000000000000000000000−2i32i30000000000000000000000
χ684-4-44-244-422-4-44-2-222-200-4-2240000002i3−2i32-2000000000000000000000002i3−2i30000000000000000000000
χ694-4-44-24-4422-4-44-2-222-20042-2-400000000-2200000000000000000000000000000000000−2i32i30000000000
χ704-4-44-24-4422-4-44-2-222-20042-2-400000000-22000000000000000000000000000000000002i3−2i30000000000
χ714-4-44-2-24-42222-2-21-1-11002-22-2−2i32i32i3−2i300−2i32i3-1100i3−i3−i3i300000000000000000i3−i3003-3000000000000000000
χ724-4-44-2-24-42222-2-21-1-11002-22-2−2i32i32i3−2i3002i3−2i3-1100i3−i3−i3i300000000000000000−i3i300-33000000000000000000
χ734-4-44-2-24-42222-2-21-1-11002-22-22i3−2i3−2i32i300−2i32i3-1100−i3i3i3−i300000000000000000i3−i300-33000000000000000000
χ744-4-44-2-24-42222-2-21-1-11002-22-22i3−2i3−2i32i3002i3−2i3-1100−i3i3i3−i300000000000000000−i3i3003-3000000000000000000
χ758888-4-4-8-8-4-4-4-4-4-4222200444400000000-2-200000000000000000000000000000000000000000000000
χ7688-8-8-4-4004-4-444422-2-2−4i24i200002i22i2−2i2−2i20000002i2−2i2−i2−i2i2i200000000000000000000000000000000000000000
χ7788-8-8-4-4004-4-444422-2-24i2−4i20000−2i2−2i22i22i2000000−2i22i2i2i2−i2−i200000000000000000000000000000000000000000
χ788-88-8-4800-44-88-84-44-44000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400-444-4442-22-200000026−2626−2600000000−66−6600000000000000000000000000000000000000000
χ808-88-8-4-400-444-4442-22-2000000−2626−2626000000006−66−600000000000000000000000000000000000000000
χ818-8-88-4-4-884444-4-42-2-2200-44-44000000002-200000000000000000000000000000000000000000000000

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