Finite Group Databasebeta

← Group #11771081

Character table — Group #11771081

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888888888888888888888881818181818181818363636363636363636363636363636367272
order122222223344666666666666664412121212121212121212121212121212121212121212121244444444888888888888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1
χ511111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1
χ711111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11
χ811111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11
χ91-1-1-1111-1111-11111-1-1-1-1-1-111-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111-1-1-11-111-1-1ii−i−i11-1-1ii−i−ii−i
χ101-1-1-1111-1111-11111-1-1-1-1-1-111-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111-1-1-11-1-1-111−i−iii-1-111−i−iiii−i
χ111-1-1-1111-1111-11111-1-1-1-1-1-111-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1111-11ii−i−i-1-111−i−iii11-1-1−ii
χ121-1-1-1111-1111-11111-1-1-1-1-1-111-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1111-11−i−iii11-1-1ii−i−i-1-111−ii
χ131-1-1-1111-1111-11111-1-1-1-1-1-111-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111-1-1-11-111-1-1−i−iii11-1-1−i−iii−ii
χ141-1-1-1111-1111-11111-1-1-1-1-1-111-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111-1-1-11-1-1-111ii−i−i-1-111ii−i−i−ii
χ151-1-1-1111-1111-11111-1-1-1-1-1-111-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1111-11ii−i−i11-1-1−i−iii-1-111i−i
χ161-1-1-1111-1111-11111-1-1-1-1-1-111-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1111-11−i−iii-1-111ii−i−i11-1-1i−i
χ172222222222-2-22222222222222200-2-2-2-2-2-2-2-2000000000000000022-22-2-2-22000000000000000000
χ182222222222-2-22222222222222200-2-2-2-2-2-2-2-20000000000000000-2-22-2222-2000000000000000000
χ19222-2-22-2-2220022-2-22222-2-2-2-2-2-20000000000000000000000000000202-2-2000002−22−200002−22−200
χ20222-2-22-2-2220022-2-22222-2-2-2-2-2-20000000000000000000000000000202-2-200000−22−220000−22−2200
χ21222-2-22-2-2220022-2-22222-2-2-2-2-2-20000000000000000000000000000-20-22200000−i2i2−i2i20000i2−i2i2−i200
χ22222-2-22-2-2220022-2-22222-2-2-2-2-2-20000000000000000000000000000-20-22200000i2−i2i2−i20000−i2i2−i2i200
χ2322-22-2-22-22200-2-22222-2-222-2-2-2-2000000000000000000000000002-202000-22−22−200002−22−2000000
χ2422-22-2-22-22200-2-22222-2-222-2-2-2-2000000000000000000000000002-202000-2−22−220000−22−22000000
χ2522-22-2-22-22200-2-22222-2-222-2-2-2-200000000000000000000000000-220-20002−i2i2−i2i20000i2−i2i2−i2000000
χ2622-22-2-22-22200-2-22222-2-222-2-2-2-200000000000000000000000000-220-20002i2−i2i2−i20000−i2i2−i2i2000000
χ272-22-2-2-2222200-2-222-2-222-2-2-2-222000000000000000000000000002-20-200022−2−2200002−2−22000000
χ282-22-2-2-2222200-2-222-2-222-2-2-2-222000000000000000000000000002-20-20002−222−20000−222−2000000
χ292-22-2-2-2222200-2-222-2-222-2-2-2-22200000000000000000000000000-2202000-2−i2i2i2−i20000i2−i2−i2i2000000
χ302-22-2-2-2222200-2-222-2-222-2-2-2-22200000000000000000000000000-2202000-2i2−i2−i2i20000−i2i2i2−i2000000
χ312-2-22-22-22220022-2-2-2-2-2-222-2-222000000000000000000000000000020-22-200000−i2i2i2−i20000−i2i2i2−i200
χ322-2-22-22-22220022-2-2-2-2-2-222-2-222000000000000000000000000000020-22-200000i2−i2−i2i20000i2−i2−i2i200
χ332-2-22-22-22220022-2-2-2-2-2-222-2-2220000000000000000000000000000-202-22000002−2−220000−222−200
χ342-2-22-22-22220022-2-2-2-2-2-222-2-2220000000000000000000000000000-202-2200000−222−200002−2−2200
χ352-2-2-2222-222-222222-2-2-2-2-2-222-2-200-2-2-2-22222000000000000000022-2-222-2-2000000000000000000
χ362-2-2-2222-222-222222-2-2-2-2-2-222-2-200-2-2-2-222220000000000000000-2-222-2-222000000000000000000
χ37444444441-2441-21-21-21-21-21-21-24411-2-211-2-21111-2-2-2-21111-2-2-2-200000000000000000000000000
χ38444444441-2441-21-21-21-21-21-21-2-4-411-2-211-2-2-1-1-1-12222-1-1-1-1222200000000000000000000000000
χ39444444441-2-4-41-21-21-21-21-21-21-200-1-122-1-12233-3-3000033-3-3000000000000000000000000000000
χ40444444441-2-4-41-21-21-21-21-21-21-200-1-122-1-122-3-3330000-3-333000000000000000000000000000000
χ4144444444-2144-21-21-21-21-21-21-2144-2-211-2-211-2-2-2-21111-2-2-2-2111100000000000000000000000000
χ4244444444-2144-21-21-21-21-21-21-21-4-4-2-211-2-2112222-1-1-1-12222-1-1-1-100000000000000000000000000
χ4344444444-21-4-4-21-21-21-21-21-21-210022-1-122-1-1000033-3-3000033-3-300000000000000000000000000
χ4444444444-21-4-4-21-21-21-21-21-21-210022-1-122-1-10000-3-3330000-3-33300000000000000000000000000
χ4544-4-44-4-441-200-12-121-2-12-121-21-2003-3003-300−i3i3−i3i300−2i32i3−i3i3−i3i300−2i32i300000000000000000000000000
χ4644-4-44-4-441-200-12-121-2-12-121-21-2003-3003-300i3−i3i3−i3002i3−2i3i3−i3i3−i3002i3−2i300000000000000000000000000
χ4744-4-44-4-441-200-12-121-2-12-121-21-200-3300-3300−i3i3i3−i3−2i32i300−i3i3i3−i3−2i32i30000000000000000000000000000
χ4844-4-44-4-441-200-12-121-2-12-121-21-200-3300-3300i3−i3−i3i32i3−2i300i3−i3−i3i32i3−2i30000000000000000000000000000
χ4944-4-44-4-444400-4-4-4-444-4-4-4-444440000000000000000000000000000000000000000000000000000
χ5044-4-44-4-44-21002-12-1-212-12-1-21-2100003-3003-300−2i32i3−i3i3i3−i300−2i32i3−i3i3i3−i300000000000000000000000000
χ5144-4-44-4-44-21002-12-1-212-12-1-21-2100003-3003-3002i3−2i3i3−i3−i3i3002i3−2i3i3−i3−i3i300000000000000000000000000
χ5244-4-44-4-44-21002-12-1-212-12-1-21-210000-3300-33−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i300000000000000000000000000
χ5344-4-44-4-44-21002-12-1-212-12-1-21-210000-3300-332i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i300000000000000000000000000
χ544-4444-4-4-41-200-12-12-121-21-21-2-12003-300-33003−33−30023−23−33−3300−232300000000000000000000000000
χ554-4444-4-4-41-200-12-12-121-21-21-2-12003-300-3300−33−3300−23233−33−30023−2300000000000000000000000000
χ564-4444-4-4-41-200-12-12-121-21-21-2-1200-33003-3003−3−3323−2300−333−3−23230000000000000000000000000000
χ574-4444-4-4-41-200-12-12-121-21-21-2-1200-33003-300−333−3−2323003−3−3323−230000000000000000000000000000
χ584-4444-4-4-44400-4-4-4-4-4-4444444-4-40000000000000000000000000000000000000000000000000000
χ594-4444-4-4-4-21002-12-12-1-21-21-212-100003-300-330023−233−3−3300−2323−333−300000000000000000000000000
χ604-4444-4-4-4-21002-12-12-1-21-21-212-100003-300-3300−2323−333−30023−233−3−3300000000000000000000000000
χ614-4444-4-4-4-21002-12-12-1-21-21-212-10000-33003-323−2300−33−33−2323003−33−300000000000000000000000000
χ624-4444-4-4-4-21002-12-12-1-21-21-212-10000-33003-3−2323003−33−323−2300−33−3300000000000000000000000000
χ634-4-4-4444-41-24-41-21-2-12-12-121-2-124i−4i11-2-2-1-122iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2i00000000000000000000000000
χ644-4-4-4444-41-24-41-21-2-12-12-121-2-12−4i4i11-2-2-1-122−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i00000000000000000000000000
χ654-4-4-4444-41-2-441-21-2-12-12-121-2-1200-1-12211-2-23i3i−3i−3i0000−3i−3i3i3i000000000000000000000000000000
χ664-4-4-4444-41-2-441-21-2-12-12-121-2-1200-1-12211-2-2−3i−3i3i3i00003i3i−3i−3i000000000000000000000000000000
χ674-4-4-4444-4-214-4-21-212-12-12-1-212-14i−4i-2-21122-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00000000000000000000000000
χ684-4-4-4444-4-214-4-21-212-12-12-1-212-1−4i4i-2-21122-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00000000000000000000000000
χ694-4-4-4444-4-21-44-21-212-12-12-1-212-10022-1-1-2-21100003i3i−3i−3i0000−3i−3i3i3i00000000000000000000000000
χ704-4-4-4444-4-21-44-21-212-12-12-1-212-10022-1-1-2-2110000−3i−3i3i3i00003i3i−3i−3i00000000000000000000000000
χ71888-8-88-8-82-4002-4-242-42-4-24-24-240000000000000000000000000000000000000000000000000000
χ72888-8-88-8-8-4200-424-2-42-424-24-24-20000000000000000000000000000000000000000000000000000
χ7388-88-8-88-82-400-242-42-4-242-4-24-240000000000000000000000000000000000000000000000000000
χ7488-88-8-88-8-42004-2-42-424-2-424-24-20000000000000000000000000000000000000000000000000000
χ758-88-8-8-8882-400-242-4-242-4-24-242-40000000000000000000000000000000000000000000000000000
χ768-88-8-8-888-42004-2-424-2-424-24-2-420000000000000000000000000000000000000000000000000000
χ778-8-88-88-882-4002-4-24-24-242-4-242-40000000000000000000000000000000000000000000000000000
χ788-8-88-88-88-4200-424-24-24-2-424-2-420000000000000000000000000000000000000000000000000000

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