Finite Group Databasebeta

← Group #11785225

Character table — Group #11785225

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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91-1-1-111-11111-1111-1-1-1-1-1-1-1111-111-1-111-1-111-1-111-1-111-1-111-1-1i−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ101-1-1-111-11111-1111-1-1-1-1-1-1-1111-111-1-111-1-111-1-111-1-111-1-111-1-1−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ111-1-1-111-11111-1111-1-1-1-1-1-1-1111-111-1-111-1-1-1-111-1-11111-1-111-1-1i−ii−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ121-1-1-111-11111-1111-1-1-1-1-1-1-1111-111-1-111-1-1-1-111-1-11111-1-111-1-1−ii−ii-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ131-1-1-111-1111-11111-1-1-1-1-1-1-1111-1-1-111-1-11111-1-1-1-111-1-11111-1-1i−i−ii-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ141-1-1-111-1111-11111-1-1-1-1-1-1-1111-1-1-111-1-11111-1-1-1-111-1-11111-1-1−iii−i-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ151-1-1-111-1111-11111-1-1-1-1-1-1-1111-1-1-111-1-111-1-11111-1-1-1-11111-1-1i−i−ii11-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i
χ161-1-1-111-1111-11111-1-1-1-1-1-1-1111-1-1-111-1-111-1-11111-1-1-1-11111-1-1−iii−i11-1-1-1-111−i−iiiii−i−iii−i−i−i−iii
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000000000000000
χ19222-2-22-2-2220022-22222-2-2-2-2-2-2-200000000000000002-22-20000000000000000000000002−22−22−22−2
χ20222-2-22-2-2220022-22222-2-2-2-2-2-2-200000000000000002-22-2000000000000000000000000−22−22−22−22
χ21222-2-22-2-2220022-22222-2-2-2-2-2-2-20000000000000000-22-220000000000000000000000002−22−2−22−22
χ22222-2-22-2-2220022-22222-2-2-2-2-2-2-20000000000000000-22-22000000000000000000000000−22−222−22−2
χ2322-22-2-2-222200-2-2222-2-222-2-22-2-20000000000002-22-200002-22-200002-22-200000000000000000000
χ2422-22-2-2-222200-2-2222-2-222-2-22-2-2000000000000-22-2200002-22-20000-22-2200000000000000000000
χ2522-22-2-2-222200-2-2222-2-222-2-22-2-2000000002i−2i2i−2i00000000-22-22000000002i−2i2i−2i0000000000000000
χ2622-22-2-2-222200-2-2222-2-222-2-22-2-200000000−2i2i−2i2i00000000-22-2200000000−2i2i−2i2i0000000000000000
χ272-22-2-2-2222200-2-22-2-222-2-22-22-220000000000002-2-2200002-2-2200002-2-2200000000000000000000
χ282-22-2-2-2222200-2-22-2-222-2-22-22-22000000000000-222-200002-2-220000-222-200000000000000000000
χ292-22-2-2-2222200-2-22-2-222-2-22-22-22000000002i−2i−2i2i00000000-222-2000000002i−2i−2i2i0000000000000000
χ302-22-2-2-2222200-2-22-2-222-2-22-22-2200000000−2i2i2i−2i00000000-222-200000000−2i2i2i−2i0000000000000000
χ312-2-22-222-2220022-2-2-2-2-2222-2-2-2200000000000000002-2-22000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ322-2-22-222-2220022-2-2-2-2-2222-2-2-2200000000000000002-2-22000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ332-2-22-222-2220022-2-2-2-2-2222-2-2-220000000000000000-222-2000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ342-2-22-222-2220022-2-2-2-2-2222-2-2-220000000000000000-222-2000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ352-2-2-222-22222-2222-2-2-2-2-2-2-2222-222-2-222-2-200000000-2-222-2-2220000000000000000000000000000
χ362-2-2-222-2222-22222-2-2-2-2-2-2-2222-2-2-222-2-2220000000022-2-2-2-2220000000000000000000000000000
χ37444444441-2441-211-21-21-2-21-2-211111-2-2-2-20000000000000000222200000000-1-1-1-1-1-1-1-100000000
χ38444444441-2441-211-21-21-2-21-2-211111-2-2-2-20000000000000000-2-2-2-2000000001111111100000000
χ39444444441-2-4-41-211-21-21-2-21-2-21-1-1-1-12222000000000000000022-2-200000000-1-1-1-1111100000000
χ40444444441-2-4-41-211-21-21-2-21-2-21-1-1-1-122220000000000000000-2-222000000001111-1-1-1-100000000
χ4144444444-2144-21-2-21-21-211-211-2-2-2-2-2111122222222000000000000-1-1-1-1-1-1-1-10000000000000000
χ4244444444-2144-21-2-21-21-211-211-2-2-2-2-21111-2-2-2-2-2-2-2-2000000000000111111110000000000000000
χ4344444444-21-4-4-21-2-21-21-211-211-22222-1-1-1-12222-2-2-2-20000000000001111-1-1-1-10000000000000000
χ4444444444-21-4-4-21-2-21-21-211-211-22222-1-1-1-1-2-2-2-22222000000000000-1-1-1-111110000000000000000
χ4544-44-4-4-44-21002-1-2-212-1-21-121-1200003i−3i3i−3i2i−2i2i−2i2-22-2000000000000-11-11−ii−ii0000000000000000
χ4644-44-4-4-44-21002-1-2-212-1-21-121-1200003i−3i3i−3i−2i2i−2i2i-22-220000000000001-11-1i−ii−i0000000000000000
χ4744-44-4-4-44-21002-1-2-212-1-21-121-120000−3i3i−3i3i2i−2i2i−2i-22-220000000000001-11-1−ii−ii0000000000000000
χ4844-44-4-4-44-21002-1-2-212-1-21-121-120000−3i3i−3i3i−2i2i−2i2i2-22-2000000000000-11-11i−ii−i0000000000000000
χ4944-4-44-44-41-200-12-11-2-12-12-212-213-33-300000000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ5044-4-44-44-41-200-12-11-2-12-12-212-213-33-300000000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ5144-4-44-44-41-200-12-11-2-12-12-212-21-33-3300000000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ5244-4-44-44-41-200-12-11-2-12-12-212-21-33-3300000000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ5344-4-44-44-44400-4-4-444-4-4-4-444-4440000000000000000000000000000000000000000000000000000
χ544-4444-4-4-41-200-12-1-121-21-2212-2-13-3-33000000000000000000000000000000003−3−333−3−3300000000
χ554-4444-4-4-41-200-12-1-121-21-2212-2-13-3-3300000000000000000000000000000000−333−3−333−300000000
χ564-4444-4-4-41-200-12-1-121-21-2212-2-1-333-3000000000000000000000000000000003−3−33−333−300000000
χ574-4444-4-4-41-200-12-1-121-21-2212-2-1-333-300000000000000000000000000000000−333−33−3−3300000000
χ584-4444-4-4-44400-4-4-4-4-44444-44-44-40000000000000000000000000000000000000000000000000000
χ594-44-4-4-444-21002-1-22-1-212-1121-1-200003i−3i−3i3i2i−2i−2i2i2-2-22000000000000-111-1−iii−i0000000000000000
χ604-44-4-4-444-21002-1-22-1-212-1121-1-200003i−3i−3i3i−2i2i2i−2i-222-20000000000001-1-11i−i−ii0000000000000000
χ614-44-4-4-444-21002-1-22-1-212-1121-1-20000−3i3i3i−3i2i−2i−2i2i-222-20000000000001-1-11−iii−i0000000000000000
χ624-44-4-4-444-21002-1-22-1-212-1121-1-20000−3i3i3i−3i−2i2i2i−2i2-2-22000000000000-111-1i−i−ii0000000000000000
χ634-4-4-444-441-24-41-21-12-12-1221-2-2-111-1-1-2-22200000000000000002i−2i2i−2i00000000−i−iii−i−iii00000000
χ644-4-4-444-441-24-41-21-12-12-1221-2-2-111-1-1-2-2220000000000000000−2i2i−2i2i00000000ii−i−iii−i−i00000000
χ654-4-4-444-441-2-441-21-12-12-1221-2-2-1-1-11122-2-200000000000000002i−2i−2i2i00000000−i−iiiii−i−i00000000
χ664-4-4-444-441-2-441-21-12-12-1221-2-2-1-1-11122-2-20000000000000000−2i2i2i−2i00000000ii−i−i−i−iii00000000
χ674-4-4-444-44-214-4-21-22-12-12-1-1-2112-2-22211-1-122-2-222-2-2000000000000-1-111-1-1110000000000000000
χ684-4-4-444-44-214-4-21-22-12-12-1-1-2112-2-22211-1-1-2-222-2-22200000000000011-1-111-1-10000000000000000
χ694-4-4-444-44-21-44-21-22-12-12-1-1-211222-2-2-1-11122-2-2-2-22200000000000011-1-1-1-1110000000000000000
χ704-4-4-444-44-21-44-21-22-12-12-1-1-211222-2-2-1-111-2-22222-2-2000000000000-1-11111-1-10000000000000000
χ71888-8-88-8-82-4002-4-22-42-4-244-244-20000000000000000000000000000000000000000000000000000
χ72888-8-88-8-8-4200-424-42-424-2-24-2-240000000000000000000000000000000000000000000000000000
χ7388-88-8-8-882-400-2422-4-242-44-2-44-20000000000000000000000000000000000000000000000000000
χ7488-8-88-88-8-42004-24-424-24-22-4-22-40000000000000000000000000000000000000000000000000000
χ758-8888-8-8-8-42004-244-2-42-42-2-4-2240000000000000000000000000000000000000000000000000000
χ768-88-8-8-8882-400-242-242-4-24-4-2-4420000000000000000000000000000000000000000000000000000
χ778-8-88-888-82-4002-4-2-24-242-4-4-24420000000000000000000000000000000000000000000000000000
χ788-8-88-888-8-4200-4244-24-2-4224-2-2-40000000000000000000000000000000000000000000000000000

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