Finite Group Databasebeta

← Group #11787463

Character table — Group #11787463

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order12222222334466666666666666121212121212121222224444444444444444666612121212121212121212121288888888
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111-1-1-11-111i−i11-1-1111-1-1-1-11-1-1iiii−i−i−i−i11-1-1ii−i−i1-1ii−i−i1-1i−i1-111-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-1
χ10111-1-1-11-111i−i11-1-1111-1-1-1-11-1-1iiii−i−i−i−i11-1-1ii−i−i1-1ii−i−i1-1−ii-1111-1-1ii−i−i−i−iii-1-111−i−iii-1-111
χ11111-1-1-11-111i−i11-1-1111-1-1-1-11-1-1iiii−i−i−i−i-1-111−i−iii1-1ii−i−i1-1i−i1-1-1-111−i−iiiii−i−i11-1-1−i−iii-1-111
χ12111-1-1-11-111i−i11-1-1111-1-1-1-11-1-1iiii−i−i−i−i-1-111−i−iii1-1ii−i−i1-1−ii-11-1-111−i−iii−i−iii-1-111ii−i−i11-1-1
χ13111-1-1-11-111−ii11-1-1111-1-1-1-11-1-1−i−i−i−iiiii11-1-1−i−iii1-1−i−iii1-1i−i-1111-1-1−i−iiiii−i−i-1-111ii−i−i-1-111
χ14111-1-1-11-111−ii11-1-1111-1-1-1-11-1-1−i−i−i−iiiii11-1-1−i−iii1-1−i−iii1-1−ii1-111-1-1−i−iii−i−iii11-1-1−i−iii11-1-1
χ15111-1-1-11-111−ii11-1-1111-1-1-1-11-1-1−i−i−i−iiiii-1-111ii−i−i1-1−i−iii1-1i−i-11-1-111ii−i−iii−i−i-1-111−i−iii11-1-1
χ16111-1-1-11-111−ii11-1-1111-1-1-1-11-1-1−i−i−i−iiiii-1-111ii−i−i1-1−i−iii1-1−ii1-1-1-111ii−i−i−i−iii11-1-1ii−i−i-1-111
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-200000000-2-22222-2-20000000000000000000000000000
χ19222-2-2-22-2222i−2i22-2-2222-2-2-2-22-2-22i2i2i2i−2i−2i−2i−2i00000000-22−2i−2i2i2i-220000000000000000000000000000
χ20222-2-2-22-222−2i2i22-2-2222-2-2-2-22-2-2−2i−2i−2i−2i2i2i2i2i00000000-222i2i−2i−2i-220000000000000000000000000000
χ2122-22-2-2-2222002-2222-2-22-2-2-2-2-220000000000000000002-22-20000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ2222-22-2-2-2222002-2222-2-22-2-2-2-2-220000000000000000002-22-20000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ2322-22-2-2-2222002-2222-2-22-2-2-2-2-22000000000000000000-22-220000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ2422-22-2-2-2222002-2222-2-22-2-2-2-2-22000000000000000000-22-220000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ2522-2-222-2-222002-2-2-22-2-2-2222-22-20000000000000000002i−2i−2i2i00000000000000000000002−2−22−i2i2i2−i2
χ2622-2-222-2-222002-2-2-22-2-2-2222-22-20000000000000000002i−2i−2i2i0000000000000000000000−222−2i2−i2−i2i2
χ2722-2-222-2-222002-2-2-22-2-2-2222-22-2000000000000000000−2i2i2i−2i00000000000000000000002−2−22i2−i2−i2i2
χ2822-2-222-2-222002-2-2-22-2-2-2222-22-2000000000000000000−2i2i2i−2i0000000000000000000000−222−2−i2i2i2−i2
χ292-2-22-222-22200-2-22-2-22-222-2-222-20000000000002i−2i2i−2i220000-2-2000000002i−2i2i−2i0000000000000000
χ302-2-22-222-22200-2-22-2-22-222-2-222-2000000000000−2i2i−2i2i220000-2-200000000−2i2i−2i2i0000000000000000
χ312-2-22-222-22200-2-22-2-22-222-2-222-2000000002-22-20000-2-200002200002-22-200000000000000000000
χ322-2-22-222-22200-2-22-2-22-222-2-222-200000000-22-220000-2-20000220000-22-2200000000000000000000
χ332-2-2-22-2222200-2-2-22-22-2-2-2222-220000000000002-2-222-20000-22000000002-2-220000000000000000
χ342-2-2-22-2222200-2-2-22-22-2-2-2222-22000000000000-222-22-20000-2200000000-222-20000000000000000
χ352-2-2-22-2222200-2-2-22-22-2-2-2222-22000000002-2-220000-2200002-200002-2-2200000000000000000000
χ362-2-2-22-2222200-2-2-22-22-2-2-2222-2200000000-222-20000-2200002-20000-222-200000000000000000000
χ37444444441-2441111-2-2-2-2-21-211-211-2-211-2-20000000000000000222200000000-1-1-1-1-1-1-1-100000000
χ38444444441-2441111-2-2-2-2-21-211-211-2-211-2-20000000000000000-2-2-2-2000000001111111100000000
χ39444444441-2-4-41111-2-2-2-2-21-211-2-1-122-1-122000000000000000022-2-200000000-1-1-1-1111100000000
χ40444444441-2-4-41111-2-2-2-2-21-211-2-1-122-1-1220000000000000000-2-222000000001111-1-1-1-100000000
χ4144444444-2144-2-2-2-211111-21-2-21-2-211-2-21122222222000000000000-1-1-1-1-1-1-1-10000000000000000
χ4244444444-2144-2-2-2-211111-21-2-21-2-211-2-211-2-2-2-2-2-2-2-2000000000000111111110000000000000000
χ4344444444-21-4-4-2-2-2-211111-21-2-2122-1-122-1-12222-2-2-2-2000000000000-1-1-1-111110000000000000000
χ4444444444-21-4-4-2-2-2-211111-21-2-2122-1-122-1-1-2-2-2-222220000000000001111-1-1-1-10000000000000000
χ45444-4-4-44-41-24i−4i11-1-1-2-2-222-121-12ii−2i−2i−i−i2i2i00000000000000002i−2i2-200000000−i−iii-1-11100000000
χ46444-4-4-44-41-24i−4i11-1-1-2-2-222-121-12ii−2i−2i−i−i2i2i0000000000000000−2i2i-2200000000ii−i−i11-1-100000000
χ47444-4-4-44-41-2−4i4i11-1-1-2-2-222-121-12−i−i2i2iii−2i−2i00000000000000002i−2i-2200000000−i−iii11-1-100000000
χ48444-4-4-44-41-2−4i4i11-1-1-2-2-222-121-12−i−i2i2iii−2i−2i0000000000000000−2i2i2-200000000ii−i−i-1-11100000000
χ49444-4-4-44-4-214i−4i-2-222111-1-12-1-22-1−2i−2iii2i2i−i−i22-2-22i2i−2i−2i000000000000-1-111−i−iii0000000000000000
χ50444-4-4-44-4-214i−4i-2-222111-1-12-1-22-1−2i−2iii2i2i−i−i-2-222−2i−2i2i2i00000000000011-1-1ii−i−i0000000000000000
χ51444-4-4-44-4-21−4i4i-2-222111-1-12-1-22-12i2i−i−i−2i−2iii22-2-2−2i−2i2i2i000000000000-1-111ii−i−i0000000000000000
χ52444-4-4-44-4-21−4i4i-2-222111-1-12-1-22-12i2i−i−i−2i−2iii-2-2222i2i−2i−2i00000000000011-1-1−i−iii0000000000000000
χ534-4444-4-4-41-200-111-122-2-221-2-1-123-3003-30000000000000000000000000000003−33−33−33−300000000
χ544-4444-4-4-41-200-111-122-2-221-2-1-123-3003-3000000000000000000000000000000−33−33−33−3300000000
χ554-4444-4-4-41-200-111-122-2-221-2-1-12-3300-330000000000000000000000000000003−33−3−33−3300000000
χ564-4444-4-4-41-200-111-122-2-221-2-1-12-3300-33000000000000000000000000000000−33−333−33−300000000
χ574-4444-4-4-44400-444-4-4-444-444-4-4-40000000000000000000000000000000000000000000000000000
χ584-44-4-44-441-200-11-1122-22-2-12-11-23i−3i00−3i3i000000000000000000000000000000−i3i3i3−i3−333−300000000
χ594-44-4-44-441-200-11-1122-22-2-12-11-23i−3i00−3i3i000000000000000000000000000000i3−i3−i3i33−3−3300000000
χ604-44-4-44-441-200-11-1122-22-2-12-11-2−3i3i003i−3i000000000000000000000000000000−i3i3i3−i33−3−3300000000
χ614-44-4-44-441-200-11-1122-22-2-12-11-2−3i3i003i−3i000000000000000000000000000000i3−i3−i3i3−333−300000000
χ624-44-4-44-444400-44-44-4-44-44-4-4-4440000000000000000000000000000000000000000000000000000
χ634-4-44-444-4-210022-22-11-1112-1-2-2-1003i−3i003i−3i2-22-22i−2i2i−2i000000000000-11-11−ii−ii0000000000000000
χ644-4-44-444-4-210022-22-11-1112-1-2-2-1003i−3i003i−3i-22-22−2i2i−2i2i0000000000001-11-1i−ii−i0000000000000000
χ654-4-44-444-4-210022-22-11-1112-1-2-2-100−3i3i00−3i3i2-22-2−2i2i−2i2i000000000000-11-11i−ii−i0000000000000000
χ664-4-44-444-4-210022-22-11-1112-1-2-2-100−3i3i00−3i3i-22-222i−2i2i−2i0000000000001-11-1−ii−ii0000000000000000
χ674-4-4-44-444-2100222-2-11-1-1-1-21-221003-300-332-2-222-2-22000000000000-111-1-111-10000000000000000
χ684-4-4-44-444-2100222-2-11-1-1-1-21-221003-300-33-222-2-222-20000000000001-1-111-1-110000000000000000
χ694-4-4-44-444-2100222-2-11-1-1-1-21-22100-33003-32-2-22-222-2000000000000-111-11-1-110000000000000000
χ704-4-4-44-444-2100222-2-11-1-1-1-21-22100-33003-3-222-22-2-220000000000001-1-11-111-10000000000000000
χ7188-88-8-8-882-4002-222-444-44-24-2-2-40000000000000000000000000000000000000000000000000000
χ7288-88-8-8-88-4200-44-4-42-2-22-24-24420000000000000000000000000000000000000000000000000000
χ7388-8-888-8-82-4002-2-2-2-4444-42-4-2240000000000000000000000000000000000000000000000000000
χ7488-8-888-8-8-4200-44442-2-2-22-424-4-20000000000000000000000000000000000000000000000000000
χ758-8888-8-8-8-42004-4-44-2-222-2-4244-20000000000000000000000000000000000000000000000000000
χ768-88-8-88-88-42004-44-4-2-22-224-24-420000000000000000000000000000000000000000000000000000
χ778-8-88-888-82-400-2-22-24-44-4-4-242240000000000000000000000000000000000000000000000000000
χ788-8-8-88-8882-400-2-2-224-44442-42-2-40000000000000000000000000000000000000000000000000000

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