Finite Group Databasebeta

← Group #11863910

Character table — Group #11863910

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order1222444423346666661212121212121212666612121212222244442222444424446666661212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ511111111-111-111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111-1-111111-1-1-1-1-1-11111-1-11111-1-1-1-1
χ611111111-111-111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-111-1-1-111-1-11111-1-111-1-1-1-1-1-11111
χ711111111-111-111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-1111-1-111-1-1-1-111-1-111-1-1-1-11111
χ811111111-111-111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-111-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ91111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1
χ101111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-111-1-111-1-111
χ111111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111
χ121111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-111-1-111-1-1
χ131111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111-11-1111111-1-111-1-1-1-1-1-111-1-1-1-111
χ141111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-11-11-1-1111111-1-111-1-1-1-1-1-11111-1-1
χ151111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-111-1-1-1-1-1-111-1-11111-1-11111-1-1
χ161111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-11-11-1-1-1-1-1-111-1-111111111-1-1-1-111
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ1822222222-222-222222222222222-2-2-2-2-2-2-2-200000000-2-22222-2-20000000000000000000000000000
χ192222-2-2-2-2222-2222222-2-2-2-2-2-2-2-22222-2-2-2-2000000002222-2-2-2-20000000000000000000000000000
χ202222-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000022-2-222-2-20000000000000000000000000000
χ2122-2-22i2i−2i−2i02202-22-2-2-22i2i−2i−2i2i2i−2i−2i0000000000000000002-22i−2i00000000000000000000002−2−i2i2−i2i22−2
χ2222-2-22i2i−2i−2i02202-22-2-2-22i2i−2i−2i2i2i−2i−2i0000000000000000002-22i−2i0000000000000000000000−22i2−i2i2−i2−22
χ2322-2-22i2i−2i−2i02202-22-2-2-22i2i−2i−2i2i2i−2i−2i000000000000000000-22−2i2i00000000000000000000002−2−i2i2i2−i2−22
χ2422-2-22i2i−2i−2i02202-22-2-2-22i2i−2i−2i2i2i−2i−2i000000000000000000-22−2i2i0000000000000000000000−22i2−i2−i2i22−2
χ2522-2-2−2i−2i2i2i02202-22-2-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000002-2−2i2i00000000000000000000002−2i2−i2i2−i22−2
χ2622-2-2−2i−2i2i2i02202-22-2-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000002-2−2i2i0000000000000000000000−22−i2i2−i2i2−22
χ2722-2-2−2i−2i2i2i02202-22-2-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000-222i−2i00000000000000000000002−2i2−i2−i2i2−22
χ2822-2-2−2i−2i2i2i02202-22-2-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000-222i−2i0000000000000000000000−22−i2i2i2−i22−2
χ292-2-222-22-20220-2-2-2-2222-22-22-22-200000000002-2002-22-200002-2000000002-2000000002-200000000
χ302-2-222-22-20220-2-2-2-2222-22-22-22-20000000000-2200-222-200002-200000000-2200000000-2200000000
χ312-2-222-22-20220-2-2-2-2222-22-22-22-2000000002-2002-200-220000-220000002-2000000002-20000000000
χ322-2-222-22-20220-2-2-2-2222-22-22-22-200000000-2200-2200-220000-22000000-2200000000-220000000000
χ332-2-22-22-220220-2-2-2-222-22-22-22-2200000000002-200-22-2200002-2000000002-200000000-2200000000
χ342-2-22-22-220220-2-2-2-222-22-22-22-220000000000-22002-2-2200002-200000000-22000000002-200000000
χ352-2-22-22-220220-2-2-2-222-22-22-22-22000000002-200-22002-20000-220000002-200000000-220000000000
χ362-2-22-22-220220-2-2-2-222-22-22-22-2200000000-22002-2002-20000-22000000-22000000002-20000000000
χ374444444441-24-2-2111-21111-2-2-2-211-2-211-2-200000000000000002222-1-10000-1-1-1-1-1-1000000000000
χ384444444441-24-2-2111-21111-2-2-2-211-2-211-2-20000000000000000-2-2-2-2110000111111000000000000
χ39444444444-21411-2-2-21-2-2-2-21111-2-211-2-2112222222200000000000000-1-1-1-1000000-1-1-1-100000000
χ40444444444-21411-2-2-21-2-2-2-21111-2-211-2-211-2-2-2-2-2-2-2-2000000000000001111000000111100000000
χ4144444444-41-2-4-2-2111-21111-2-2-2-2-1-122-1-12200000000000000002-2-22-1-100001111-1-1000000000000
χ4244444444-41-2-4-2-2111-21111-2-2-2-2-1-122-1-1220000000000000000-222-2110000-1-1-1-111000000000000
χ4344444444-4-21-411-2-2-21-2-2-2-2111122-1-122-1-122-2-222-2-200000000000000-1-111000000-1-11100000000
χ4444444444-4-21-411-2-2-21-2-2-2-2111122-1-122-1-1-2-222-2-2220000000000000011-1-100000011-1-100000000
χ454444-4-4-4-441-2-4-2-2111-2-1-1-1-1222211-2-2-1-122000000000000000022-2-2-1-10000-1-11111000000000000
χ464444-4-4-4-441-2-4-2-2111-2-1-1-1-1222211-2-2-1-1220000000000000000-2-22211000011-1-1-1-1000000000000
χ474444-4-4-4-44-21-411-2-2-212222-1-1-1-1-2-21122-1-122-2-2-2-22200000000000000-1-11100000011-1-100000000
χ484444-4-4-4-44-21-411-2-2-212222-1-1-1-1-2-21122-1-1-2-22222-2-20000000000000011-1-1000000-1-11100000000
χ494444-4-4-4-4-41-24-2-2111-2-1-1-1-12222-1-12211-2-200000000000000002-22-2-1-1000011-1-111000000000000
χ504444-4-4-4-4-41-24-2-2111-2-1-1-1-12222-1-12211-2-20000000000000000-22-22110000-1-111-1-1000000000000
χ514444-4-4-4-4-4-21411-2-2-212222-1-1-1-122-1-1-2-2112222-2-2-2-200000000000000-1-1-1-1000000111100000000
χ524444-4-4-4-4-4-21411-2-2-212222-1-1-1-122-1-1-2-211-2-2-2-22222000000000000001111000000-1-1-1-100000000
χ534-44-44i−4i−4i4i01-202-2-11-12i−i−ii−2i2i2i−2i3-3003i−3i0000000000000000000000−i3i30000−i3i33−33−3000000000000
χ544-44-44i−4i−4i4i01-202-2-11-12i−i−ii−2i2i2i−2i3-3003i−3i0000000000000000000000i3−i30000i3−i3−33−33000000000000
χ554-44-44i−4i−4i4i01-202-2-11-12i−i−ii−2i2i2i−2i-3300−3i3i0000000000000000000000−i3i30000i3−i3−333−3000000000000
χ564-44-44i−4i−4i4i01-202-2-11-12i−i−ii−2i2i2i−2i-3300−3i3i0000000000000000000000i3−i30000−i3i33−3−33000000000000
χ574-44-44i−4i−4i4i0440-44-44-4-44i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ584-44-4−4i4i4i−4i01-202-2-11-12−iii−i2i−2i−2i2i3-300−3i3i0000000000000000000000−i3i30000−i3i3−33−33000000000000
χ594-44-4−4i4i4i−4i01-202-2-11-12−iii−i2i−2i−2i2i3-300−3i3i0000000000000000000000i3−i30000i3−i33−33−3000000000000
χ604-44-4−4i4i4i−4i01-202-2-11-12−iii−i2i−2i−2i2i-33003i−3i0000000000000000000000−i3i30000i3−i33−3−33000000000000
χ614-44-4−4i4i4i−4i01-202-2-11-12−iii−i2i−2i−2i2i-33003i−3i0000000000000000000000i3−i30000−i3i3−333−3000000000000
χ624-44-4−4i4i4i−4i0440-44-44-4-4−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ634-4-444-44-40-210-1-122-21-22-221-11-1003-3003-32-22-22-22-200000000000000-11-11000000-11-1100000000
χ644-4-444-44-40-210-1-122-21-22-221-11-1003-3003-3-22-22-22-22000000000000001-11-10000001-11-100000000
χ654-4-444-44-40-210-1-122-21-22-221-11-100-3300-332-2-222-2-2200000000000000-111-1000000-111-100000000
χ664-4-444-44-40-210-1-122-21-22-221-11-100-3300-33-222-2-222-2000000000000001-1-110000001-1-1100000000
χ674-4-44-44-440-210-1-122-212-22-2-11-11003-300-332-2-22-222-200000000000000-111-10000001-1-1100000000
χ684-4-44-44-440-210-1-122-212-22-2-11-11003-300-33-222-22-2-22000000000000001-1-11000000-111-100000000
χ694-4-44-44-440-210-1-122-212-22-2-11-1100-33003-32-22-2-22-2200000000000000-11-110000001-11-100000000
χ704-4-44-44-440-210-1-122-212-22-2-11-1100-33003-3-22-222-22-2000000000000001-11-1000000-11-1100000000
χ7188-8-88i8i−8i−8i02-40-442-2-242i2i−2i−2i−4i−4i4i4i0000000000000000000000000000000000000000000000000000
χ7288-8-88i8i−8i−8i0-4202-2-444-2−4i−4i4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ7388-8-8−8i−8i8i8i02-40-442-2-24−2i−2i2i2i4i4i−4i−4i0000000000000000000000000000000000000000000000000000
χ7488-8-8−8i−8i8i8i0-4202-2-444-24i4i−4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ758-88-88i−8i−8i8i0-420-224-44-2−4i4i4i−4i2i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ768-88-8−8i8i8i−8i0-420-224-44-24i−4i−4i4i−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ778-8-888-88-802-4044-2-22-42-22-2-44-440000000000000000000000000000000000000000000000000000
χ788-8-88-88-8802-4044-2-22-4-22-224-44-40000000000000000000000000000000000000000000000000000

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