Finite Group Databasebeta

← Group #11791672

Character table — Group #11791672

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order122222223344666666666666661212121212121212444444444444444444441212121212121212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ91-1-1-1-1111111-1111-1-1-1-1-1-111-1-1111-1-111-1-1ii−i−iii−i−i11-111-1-1-11-11-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ101-1-1-1-1111111-1111-1-1-1-1-1-111-1-1111-1-111-1-1ii−i−iii−i−i11-111-1-1-1-11-11ii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ111-1-1-1-1111111-1111-1-1-1-1-1-111-1-1111-1-111-1-1−i−iii−i−iii11-111-1-1-11-11-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ121-1-1-1-1111111-1111-1-1-1-1-1-111-1-1111-1-111-1-1−i−iii−i−iii11-111-1-1-1-11-11−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ131-1-1-1-111111-11111-1-1-1-1-1-111-1-11-1-111-1-111ii−i−i−i−iii11-1-1-111-11-1-11ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii
χ141-1-1-1-111111-11111-1-1-1-1-1-111-1-11-1-111-1-111ii−i−i−i−iii11-1-1-111-1-111-1ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i
χ151-1-1-1-111111-11111-1-1-1-1-1-111-1-11-1-111-1-111−i−iiiii−i−i11-1-1-111-11-1-11−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i
χ161-1-1-1-111111-11111-1-1-1-1-1-111-1-11-1-111-1-111−i−iiiii−i−i11-1-1-111-1-111-1−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-200000000-2-2-22222-20000000000000000000000000000
χ1922-22-22-2-22200-2-2-2222-2-2-22-22-2200000000000000000002i−2i2i−2i0000000000000000000002−22−2−i2i2−i2i2
χ2022-22-22-2-22200-2-2-2222-2-2-22-22-2200000000000000000002i−2i2i−2i000000000000000000000−22−22i2−i2i2−i2
χ2122-22-22-2-22200-2-2-2222-2-2-22-22-220000000000000000000−2i2i−2i2i0000000000000000000002−22−2i2−i2i2−i2
χ2222-22-22-2-22200-2-2-2222-2-2-22-22-220000000000000000000−2i2i−2i2i000000000000000000000−22−22−i2i2−i2i2
χ2322-2-22-22-2220022-222-22-2-2-2-2-22-20000000000002-22-22-220000-2000000002-22-20000000000000000
χ2422-2-22-22-2220022-222-22-2-2-2-2-22-2000000000000-22-222-220000-200000000-22-220000000000000000
χ2522-2-22-22-2220022-222-22-2-2-2-2-22-2000000002i−2i2i−2i0000-22-20000200002i−2i2i−2i00000000000000000000
χ2622-2-22-22-2220022-222-22-2-2-2-2-22-200000000−2i2i−2i2i0000-22-2000020000−2i2i−2i2i00000000000000000000
χ272-222-2-22-2220022-2-2-22-222-2-22-2-20000000000002i−2i−2i2i2-2-200002000000002i−2i−2i2i0000000000000000
χ282-222-2-22-2220022-2-2-22-222-2-22-2-2000000000000−2i2i2i−2i2-2-20000200000000−2i2i2i−2i0000000000000000
χ292-222-2-22-2220022-2-2-22-222-2-22-2-2000000002-2-220000-2220000-200002-2-2200000000000000000000
χ302-222-2-22-2220022-2-2-22-222-2-22-2-200000000-222-20000-2220000-20000-222-200000000000000000000
χ312-22-222-2-22200-2-2-2-2-2-22222-2-22200000000000000000002i−2i−2i2i000000000000000000000−i2i2i2−i2−222−2
χ322-22-222-2-22200-2-2-2-2-2-22222-2-22200000000000000000002i−2i−2i2i000000000000000000000i2−i2−i2i22−2−22
χ332-22-222-2-22200-2-2-2-2-2-22222-2-2220000000000000000000−2i2i2i−2i000000000000000000000−i2i2i2−i22−2−22
χ342-22-222-2-22200-2-2-2-2-2-22222-2-2220000000000000000000−2i2i2i−2i000000000000000000000i2−i2−i2i2−222−2
χ352-2-2-2-2222222-2222-2-2-2-2-2-222-2-2222-2-222-2-200000000-2-22-2-22220000000000000000000000000000
χ362-2-2-2-222222-22222-2-2-2-2-2-222-2-22-2-222-2-22200000000-2-2222-2-220000000000000000000000000000
χ37444444441-2441-211-2-2-21-21-211-21111-2-2-2-222222222000000000000-1-1-1-1-1-1-1-10000000000000000
χ38444444441-2441-211-2-2-21-21-211-21111-2-2-2-2-2-2-2-2-2-2-2-2000000000000111111110000000000000000
χ39444444441-2-4-41-211-2-2-21-21-211-2-1-1-1-122222222-2-2-2-2000000000000-1-1-1-111110000000000000000
χ40444444441-2-4-41-211-2-2-21-21-211-2-1-1-1-12222-2-2-2-222220000000000001111-1-1-1-10000000000000000
χ4144444444-2144-21-2-2111-21-21-2-21-2-2-2-211110000000000000000222200000000-1-1-1-1-1-1-1-100000000
χ4244444444-2144-21-2-2111-21-21-2-21-2-2-2-211110000000000000000-2-2-2-2000000001111111100000000
χ4344444444-21-4-4-21-2-2111-21-21-2-212222-1-1-1-1000000000000000022-2-2000000001111-1-1-1-100000000
χ4444444444-21-4-4-21-2-2111-21-21-2-212222-1-1-1-10000000000000000-2-22200000000-1-1-1-1111100000000
χ45444-4-4-4-444400-4-4444-4-444-44-4-4-40000000000000000000000000000000000000000000000000000
χ46444-4-4-4-44-21002-1-2-21-1-1-212122-100003i−3i3i−3i0000000000000000000000000000−i3i3−i3i33−33−300000000
χ47444-4-4-4-44-21002-1-2-21-1-1-212122-100003i−3i3i−3i0000000000000000000000000000i3−i3i3−i3−33−3300000000
χ48444-4-4-4-44-21002-1-2-21-1-1-212122-10000−3i3i−3i3i0000000000000000000000000000−i3i3−i3i3−33−3300000000
χ49444-4-4-4-44-21002-1-2-21-1-1-212122-10000−3i3i−3i3i0000000000000000000000000000i3−i3i3−i33−33−300000000
χ5044-4-44-44-41-2001-2-11-22-2-12-12-1123i−3i3i−3i00002i−2i2i−2i2-22-2000000000000−ii−ii-11-110000000000000000
χ5144-4-44-44-41-2001-2-11-22-2-12-12-1123i−3i3i−3i0000−2i2i−2i2i-22-22000000000000i−ii−i1-11-10000000000000000
χ5244-4-44-44-41-2001-2-11-22-2-12-12-112−3i3i−3i3i00002i−2i2i−2i-22-22000000000000−ii−ii1-11-10000000000000000
χ5344-4-44-44-41-2001-2-11-22-2-12-12-112−3i3i−3i3i0000−2i2i−2i2i2-22-2000000000000i−ii−i-11-110000000000000000
χ544-444-4-44-41-2001-2-1-12-221-2-121-123i−3i−3i3i00002-2-22−2i2i2i−2i000000000000-111-1i−i−ii0000000000000000
χ554-444-4-44-41-2001-2-1-12-221-2-121-123i−3i−3i3i0000-222-22i−2i−2i2i0000000000001-1-11−iii−i0000000000000000
χ564-444-4-44-41-2001-2-1-12-221-2-121-12−3i3i3i−3i00002-2-222i−2i−2i2i000000000000-111-1−iii−i0000000000000000
χ574-444-4-44-41-2001-2-1-12-221-2-121-12−3i3i3i−3i0000-222-2−2i2i2i−2i0000000000001-1-11i−i−ii0000000000000000
χ584-4-444-4-444400-4-44-4-444-4-4-4444-40000000000000000000000000000000000000000000000000000
χ594-4-444-4-44-21002-1-22-1112-121-2-2-100003i−3i−3i3i0000000000000000000000000000−i3i3i3−i33−3−3300000000
χ604-4-444-4-44-21002-1-22-1112-121-2-2-100003i−3i−3i3i0000000000000000000000000000i3−i3−i3i3−333−300000000
χ614-4-444-4-44-21002-1-22-1112-121-2-2-10000−3i3i3i−3i0000000000000000000000000000−i3i3i3−i3−333−300000000
χ624-4-444-4-44-21002-1-22-1112-121-2-2-10000−3i3i3i−3i0000000000000000000000000000i3−i3−i3i33−3−3300000000
χ634-4-4-4-44441-24-41-21-1222-121-2-1-1-211-1-1-2-2222i2i−2i−2i2i2i−2i−2i000000000000−i−iii−i−iii0000000000000000
χ644-4-4-4-44441-24-41-21-1222-121-2-1-1-211-1-1-2-222−2i−2i2i2i−2i−2i2i2i000000000000ii−i−iii−i−i0000000000000000
χ654-4-4-4-44441-2-441-21-1222-121-2-1-1-2-1-11122-2-22i2i−2i−2i−2i−2i2i2i000000000000−i−iiiii−i−i0000000000000000
χ664-4-4-4-44441-2-441-21-1222-121-2-1-1-2-1-11122-2-2−2i−2i2i2i2i2i−2i−2i000000000000ii−i−i−i−iii0000000000000000
χ674-4-4-4-4444-214-4-21-22-1-1-12-1-21221-2-22211-1-100000000000000002-22-200000000-1-111-1-11100000000
χ684-4-4-4-4444-214-4-21-22-1-1-12-1-21221-2-22211-1-10000000000000000-22-220000000011-1-111-1-100000000
χ694-4-4-4-4444-21-44-21-22-1-1-12-1-2122122-2-2-1-11100000000000000002-2-220000000011-1-1-1-11100000000
χ704-4-4-4-4444-21-44-21-22-1-1-12-1-2122122-2-2-1-1110000000000000000-222-200000000-1-11111-1-100000000
χ71888-8-8-8-882-400-2422-4442-4-2-4-2-240000000000000000000000000000000000000000000000000000
χ7288-88-88-8-82-400-24-22-4-44-24242-2-40000000000000000000000000000000000000000000000000000
χ7388-88-88-8-8-42004-24-422-24-2-4-2-4420000000000000000000000000000000000000000000000000000
χ7488-8-88-88-8-4200-424-42-224-24-24-4-20000000000000000000000000000000000000000000000000000
χ758-888-8-88-8-4200-4244-22-2-424-2-44-20000000000000000000000000000000000000000000000000000
χ768-88-888-8-82-400-24-2-244-42-424-22-40000000000000000000000000000000000000000000000000000
χ778-88-888-8-8-42004-244-2-22-42-4-24-420000000000000000000000000000000000000000000000000000
χ788-8-888-8-882-400-242-24-4-4-24-2-42240000000000000000000000000000000000000000000000000000

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