Finite Group Databasebeta

← Group #11785294

Character table — Group #11785294

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order122222223344666666666666661212121212121212444444444444444444441212121212121212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ91-1-1-1-1111111-1111-1-1-1-1-1-111-1-1111-1-111-1-111-1-111-1-111-1-111-1-1i−ii−i11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i
χ101-1-1-1-1111111-1111-1-1-1-1-1-111-1-1111-1-111-1-111-1-111-1-111-1-111-1-1−ii−ii11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii
χ111-1-1-1-1111111-1111-1-1-1-1-1-111-1-1111-1-111-1-1-1-111-1-11111-1-111-1-1i−ii−i-1-111ii−i−iii−i−i-1-111−i−iii−i−iii
χ121-1-1-1-1111111-1111-1-1-1-1-1-111-1-1111-1-111-1-1-1-111-1-11111-1-111-1-1−ii−ii-1-111−i−iii−i−iii-1-111ii−i−iii−i−i
χ131-1-1-1-111111-11111-1-1-1-1-1-111-1-11-1-111-1-11111-1-1-1-111-1-11111-1-1i−i−ii-1-111ii−i−i−i−iii11-1-1ii−i−i−i−iii
χ141-1-1-1-111111-11111-1-1-1-1-1-111-1-11-1-111-1-11111-1-1-1-111-1-11111-1-1−iii−i-1-111−i−iiiii−i−i11-1-1−i−iiiii−i−i
χ151-1-1-1-111111-11111-1-1-1-1-1-111-1-11-1-111-1-111-1-11111-1-1-1-11111-1-1i−i−ii11-1-1ii−i−i−i−iii-1-111−i−iiiii−i−i
χ161-1-1-1-111111-11111-1-1-1-1-1-111-1-11-1-111-1-111-1-11111-1-1-1-11111-1-1−iii−i11-1-1−i−iiiii−i−i-1-111ii−i−i−i−iii
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000000000000000
χ19222-2-2-2-2222002-2-22222-2-2-22-2-2-20000000000002-22-200002-22-200002-22-200000000000000000000
χ20222-2-2-2-2222002-2-22222-2-2-22-2-2-2000000000000-22-2200002-22-20000-22-2200000000000000000000
χ21222-2-2-2-2222002-2-22222-2-2-22-2-2-2000000002i−2i2i−2i00000000-22-2200000000000000002i−2i2i−2i00000000
χ22222-2-2-2-2222002-2-22222-2-2-22-2-2-200000000−2i2i−2i2i00000000-22-220000000000000000−2i2i−2i2i00000000
χ2322-22-22-2-22200-2-2-222-2-22-22-22-2200000000000000002i−2i2i−2i0000000000000000000000002−22−2−i2i2−i2i2
χ2422-22-22-2-22200-2-2-222-2-22-22-22-2200000000000000002i−2i2i−2i000000000000000000000000−22−22i2−i2i2−i2
χ2522-22-22-2-22200-2-2-222-2-22-22-22-220000000000000000−2i2i−2i2i0000000000000000000000002−22−2i2−i2i2−i2
χ2622-22-22-2-22200-2-2-222-2-22-22-22-220000000000000000−2i2i−2i2i000000000000000000000000−22−22−i2i2−i2i2
χ272-22-222-2-22200-2-2-2-2-222-222-2-22200000000000000002i−2i−2i2i000000000000000000000000−i2i2i2−i2−222−2
χ282-22-222-2-22200-2-2-2-2-222-222-2-22200000000000000002i−2i−2i2i000000000000000000000000i2−i2−i2i22−2−22
χ292-22-222-2-22200-2-2-2-2-222-222-2-2220000000000000000−2i2i2i−2i000000000000000000000000−i2i2i2−i22−2−22
χ302-22-222-2-22200-2-2-2-2-222-222-2-2220000000000000000−2i2i2i−2i000000000000000000000000i2−i2−i2i2−222−2
χ312-2-222-2-2222002-2-2-2-2-2-222-2222-20000000000002-2-2200002-2-2200002-2-2200000000000000000000
χ322-2-222-2-2222002-2-2-2-2-2-222-2222-2000000000000-222-200002-2-220000-222-200000000000000000000
χ332-2-222-2-2222002-2-2-2-2-2-222-2222-2000000002i−2i−2i2i00000000-222-200000000000000002i−2i−2i2i00000000
χ342-2-222-2-2222002-2-2-2-2-2-222-2222-200000000−2i2i2i−2i00000000-222-20000000000000000−2i2i2i−2i00000000
χ352-2-2-2-2222222-2222-2-2-2-2-2-222-2-2222-2-222-2-200000000-2-222-2-2220000000000000000000000000000
χ362-2-2-2-222222-22222-2-2-2-2-2-222-2-22-2-222-2-2220000000022-2-2-2-2220000000000000000000000000000
χ37444444441-24411-21-21-2-2-21-211-21111-2-2-2-2000000000000000022220000-1-1-1-1-1-1-1-1000000000000
χ38444444441-24411-21-21-2-2-21-211-21111-2-2-2-20000000000000000-2-2-2-2000011111111000000000000
χ39444444441-2-4-411-21-21-2-2-21-211-2-1-1-1-12222000000000000000022-2-20000-1-1-1-11111000000000000
χ40444444441-2-4-411-21-21-2-2-21-211-2-1-1-1-122220000000000000000-2-22200001111-1-1-1-1000000000000
χ4144444444-2144-2-21-21-2111-21-2-21-2-2-2-2111122222222000000000000-1-1-1-100000000-1-1-1-100000000
χ4244444444-2144-2-21-21-2111-21-2-21-2-2-2-21111-2-2-2-2-2-2-2-2000000000000111100000000111100000000
χ4344444444-21-4-4-2-21-21-2111-21-2-212222-1-1-1-12222-2-2-2-2000000000000111100000000-1-1-1-100000000
χ4444444444-21-4-4-2-21-21-2111-21-2-212222-1-1-1-1-2-2-2-22222000000000000-1-1-1-100000000111100000000
χ45444-4-4-4-44-2100-22-1-21-21-1-12122-100003i−3i3i−3i2i−2i2i−2i2-22-2000000000000-11-1100000000−ii−ii00000000
χ46444-4-4-4-44-2100-22-1-21-21-1-12122-100003i−3i3i−3i−2i2i−2i2i-22-220000000000001-11-100000000i−ii−i00000000
χ47444-4-4-4-44-2100-22-1-21-21-1-12122-10000−3i3i−3i3i2i−2i2i−2i-22-220000000000001-11-100000000−ii−ii00000000
χ48444-4-4-4-44-2100-22-1-21-21-1-12122-10000−3i3i−3i3i−2i2i−2i2i2-22-2000000000000-11-1100000000i−ii−i00000000
χ4944-4-44-44-41-200-11-21-2-122-2-12-1123i−3i3i−3i00000000000000000000000000003−33−3−i3i3−i3i3000000000000
χ5044-4-44-44-41-200-11-21-2-122-2-12-1123i−3i3i−3i0000000000000000000000000000−33−33i3−i3i3−i3000000000000
χ5144-4-44-44-41-200-11-21-2-122-2-12-112−3i3i−3i3i00000000000000000000000000003−33−3i3−i3i3−i3000000000000
χ5244-4-44-44-41-200-11-21-2-122-2-12-112−3i3i−3i3i0000000000000000000000000000−33−33−i3i3−i3i3000000000000
χ5344-4-44-44-44400-44444-4-4-44-4-4-44-40000000000000000000000000000000000000000000000000000
χ544-444-4-44-41-200-11-2-121-2-22-121-123i−3i−3i3i0000000000000000000000000000−i3i3i3−i3−333−3000000000000
χ554-444-4-44-41-200-11-2-121-2-22-121-123i−3i−3i3i0000000000000000000000000000i3−i3−i3i33−3−33000000000000
χ564-444-4-44-41-200-11-2-121-2-22-121-12−3i3i3i−3i0000000000000000000000000000−i3i3i3−i33−3−33000000000000
χ574-444-4-44-41-200-11-2-121-2-22-121-12−3i3i3i−3i0000000000000000000000000000i3−i3−i3i3−333−3000000000000
χ584-444-4-44-44400-444-4-4444-4-4-44-4-40000000000000000000000000000000000000000000000000000
χ594-4-444-4-44-2100-22-12-12-11121-2-2-100003i−3i−3i3i2i−2i−2i2i2-2-22000000000000-111-100000000−iii−i00000000
χ604-4-444-4-44-2100-22-12-12-11121-2-2-100003i−3i−3i3i−2i2i2i−2i-222-20000000000001-1-1100000000i−i−ii00000000
χ614-4-444-4-44-2100-22-12-12-11121-2-2-10000−3i3i3i−3i2i−2i−2i2i-222-20000000000001-1-1100000000−iii−i00000000
χ624-4-444-4-44-2100-22-12-12-11121-2-2-10000−3i3i3i−3i−2i2i2i−2i2-2-22000000000000-111-100000000i−i−ii00000000
χ634-4-4-4-44441-24-411-2-12-12221-2-1-1-211-1-1-2-22200000000000000002i−2i2i−2i0000−i−iii−i−iii000000000000
χ644-4-4-4-44441-24-411-2-12-12221-2-1-1-211-1-1-2-2220000000000000000−2i2i−2i2i0000ii−i−iii−i−i000000000000
χ654-4-4-4-44441-2-4411-2-12-12221-2-1-1-2-1-11122-2-200000000000000002i−2i−2i2i0000−i−iiiii−i−i000000000000
χ664-4-4-4-44441-2-4411-2-12-12221-2-1-1-2-1-11122-2-20000000000000000−2i2i2i−2i0000ii−i−i−i−iii000000000000
χ674-4-4-4-4444-214-4-2-212-12-1-1-1-21221-2-22211-1-122-2-222-2-2000000000000-1-11100000000-1-11100000000
χ684-4-4-4-4444-214-4-2-212-12-1-1-1-21221-2-22211-1-1-2-222-2-22200000000000011-1-10000000011-1-100000000
χ694-4-4-4-4444-21-44-2-212-12-1-1-1-2122122-2-2-1-11122-2-2-2-22200000000000011-1-100000000-1-11100000000
χ704-4-4-4-4444-21-44-2-212-12-1-1-1-2122122-2-2-1-111-2-22222-2-2000000000000-1-1110000000011-1-100000000
χ71888-8-8-8-882-4002-242-42-444-2-4-2-240000000000000000000000000000000000000000000000000000
χ7288-88-88-8-82-400-2-242-4-24-44242-2-40000000000000000000000000000000000000000000000000000
χ7388-88-88-8-8-420044-2-424-22-2-4-2-4420000000000000000000000000000000000000000000000000000
χ7488-8-88-88-8-42004-42-424-2-224-24-4-20000000000000000000000000000000000000000000000000000
χ758-888-8-88-8-42004-424-2-422-24-2-44-20000000000000000000000000000000000000000000000000000
χ768-88-888-8-82-400-2-24-242-44-424-22-40000000000000000000000000000000000000000000000000000
χ778-88-888-8-8-420044-24-2-42-22-4-24-420000000000000000000000000000000000000000000000000000
χ788-8-888-8-882-4002-24-24-24-4-4-2-42240000000000000000000000000000000000000000000000000000

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