Finite Group Databasebeta

← Group #11870536

Character table — Group #11870536

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order1222444433446666661212121212121212121212121212121222224444224444444444666612121212121212121212121288888888
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1111-11-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-1111-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-11-111111-1-1-1-1-1-111-1-111-1-111-1-111
χ111111-1-1-1-1111-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1111-11-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ121111-1-1-1-1111-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-11-11-1-1-1-11111-1-111-1-11111-1-111-1-1
χ131111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111111-1-11-1-11111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-20000000022-2-222-2-20000000000000000000000000000
χ192222-2-2-2-2222-2222222-2-2-2-2-2-2-2-222-2-222-2-200000000-2-22222-2-20000000000000000000000000000
χ202222-2-2-2-222-22222222-2-2-2-2-2-2-2-2-2-222-2-222000000002222-2-2-2-20000000000000000000000000000
χ2122-2-222-2-222002-2-2-2-2222-2-222-2-200000000000000002-2002-20000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ2222-2-222-2-222002-2-2-2-2222-2-222-2-200000000000000002-2002-20000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ2322-2-222-2-222002-2-2-2-2222-2-222-2-20000000000000000-2200-220000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ2422-2-222-2-222002-2-2-2-2222-2-222-2-20000000000000000-2200-220000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ2522-2-2-2-22222002-2-2-2-22-2-222-2-22200000000000000002-200-220000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ2622-2-2-2-22222002-2-2-2-22-2-222-2-22200000000000000002-200-220000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ2722-2-2-2-22222002-2-2-2-22-2-222-2-2220000000000000000-22002-20000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ2822-2-2-2-22222002-2-2-2-22-2-222-2-2220000000000000000-22002-20000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ292-22-22i−2i2i−2i2200-22-22-2-22i−2i2i−2i2i−2i2i−2i00000000002-2002i−2i002i−2i002-20000002-2002i−2i0000000000000000
χ302-22-22i−2i2i−2i2200-22-22-2-22i−2i2i−2i2i−2i2i−2i0000000000-2200−2i2i002i−2i002-2000000-2200−2i2i0000000000000000
χ312-22-22i−2i2i−2i2200-22-22-2-22i−2i2i−2i2i−2i2i−2i000000002-2002i−2i0000−2i2i00-2200002-2002i−2i000000000000000000
χ322-22-22i−2i2i−2i2200-22-22-2-22i−2i2i−2i2i−2i2i−2i00000000-2200−2i2i0000−2i2i00-220000-2200−2i2i000000000000000000
χ332-22-2−2i2i−2i2i2200-22-22-2-2−2i2i−2i2i−2i2i−2i2i00000000002-200−2i2i00−2i2i002-20000002-200−2i2i0000000000000000
χ342-22-2−2i2i−2i2i2200-22-22-2-2−2i2i−2i2i−2i2i−2i2i0000000000-22002i−2i00−2i2i002-2000000-22002i−2i0000000000000000
χ352-22-2−2i2i−2i2i2200-22-22-2-2−2i2i−2i2i−2i2i−2i2i000000002-200−2i2i00002i−2i00-2200002-200−2i2i000000000000000000
χ362-22-2−2i2i−2i2i2200-22-22-2-2−2i2i−2i2i−2i2i−2i2i00000000-22002i−2i00002i−2i00-220000-22002i−2i000000000000000000
χ37444444441-2441-2-211-21111-2-2-2-2-2-2-2-211110000000000000000222200000000-1-1-1-1-1-1-1-100000000
χ38444444441-2441-2-211-21111-2-2-2-2-2-2-2-211110000000000000000-2-2-2-2000000001111111100000000
χ39444444441-2-4-41-2-211-21111-2-2-2-22222-1-1-1-1000000000000000022-2-200000000-1-1-1-1111100000000
χ40444444441-2-4-41-2-211-21111-2-2-2-22222-1-1-1-10000000000000000-2-222000000001111-1-1-1-100000000
χ4144444444-2144-211-2-21-2-2-2-211111111-2-2-2-222222222000000000000-1-1-1-1-1-1-1-10000000000000000
χ4244444444-2144-211-2-21-2-2-2-211111111-2-2-2-2-2-2-2-2-2-2-2-2000000000000111111110000000000000000
χ4344444444-21-4-4-211-2-21-2-2-2-21111-1-1-1-1222222-2-222-2-2000000000000-1-111-1-1110000000000000000
χ4444444444-21-4-4-211-2-21-2-2-2-21111-1-1-1-12222-2-222-2-22200000000000011-1-111-1-10000000000000000
χ454444-4-4-4-41-24-41-2-211-2-1-1-1-12222-2-22211-1-100000000000000002-22-200000000-1-111-1-11100000000
χ464444-4-4-4-41-24-41-2-211-2-1-1-1-12222-2-22211-1-10000000000000000-22-220000000011-1-111-1-100000000
χ474444-4-4-4-41-2-441-2-211-2-1-1-1-1222222-2-2-1-11100000000000000002-2-2200000000-1-11111-1-100000000
χ484444-4-4-4-41-2-441-2-211-2-1-1-1-1222222-2-2-1-1110000000000000000-222-20000000011-1-1-1-11100000000
χ494444-4-4-4-4-214-4-211-2-212222-1-1-1-111-1-1-2-2222222-2-2-2-2000000000000-1-1-1-111110000000000000000
χ504444-4-4-4-4-214-4-211-2-212222-1-1-1-111-1-1-2-222-2-2-2-222220000000000001111-1-1-1-10000000000000000
χ514444-4-4-4-4-21-44-211-2-212222-1-1-1-1-1-11122-2-222-2-2-2-222000000000000-1-11111-1-10000000000000000
χ524444-4-4-4-4-21-44-211-2-212222-1-1-1-1-1-11122-2-2-2-22222-2-200000000000011-1-1-1-1110000000000000000
χ534-44-44i−4i4i−4i-210021-1-22-1−2i2i−2i2ii−ii−i3-33i−3i00002-22-22i−2i2i−2i000000000000-11-11−ii−ii0000000000000000
χ544-44-44i−4i4i−4i-210021-1-22-1−2i2i−2i2ii−ii−i3-33i−3i0000-22-22−2i2i−2i2i0000000000001-11-1i−ii−i0000000000000000
χ554-44-44i−4i4i−4i-210021-1-22-1−2i2i−2i2ii−ii−i-33−3i3i00002-2-222i−2i−2i2i000000000000-111-1−iii−i0000000000000000
χ564-44-44i−4i4i−4i-210021-1-22-1−2i2i−2i2ii−ii−i-33−3i3i0000-222-2−2i2i2i−2i0000000000001-1-11i−i−ii0000000000000000
χ574-44-4−4i4i−4i4i-210021-1-22-12i−2i2i−2i−ii−ii3-3−3i3i00002-22-2−2i2i−2i2i000000000000-11-11i−ii−i0000000000000000
χ584-44-4−4i4i−4i4i-210021-1-22-12i−2i2i−2i−ii−ii3-3−3i3i0000-22-222i−2i2i−2i0000000000001-11-1−ii−ii0000000000000000
χ594-44-4−4i4i−4i4i-210021-1-22-12i−2i2i−2i−ii−ii-333i−3i00002-2-22−2i2i2i−2i000000000000-111-1i−i−ii0000000000000000
χ604-44-4−4i4i−4i4i-210021-1-22-12i−2i2i−2i−ii−ii-333i−3i0000-222-22i−2i−2i2i0000000000001-1-11−iii−i0000000000000000
χ614-4-444i−4i−4i4i1-200-12-2-112i−i−ii−2i2i2i−2i00003i−3i3-300000000000000000000000000003−3−i3i3−i3i33−300000000
χ624-4-444i−4i−4i4i1-200-12-2-112i−i−ii−2i2i2i−2i00003i−3i3-30000000000000000000000000000−33i3−i3i3−i3−3300000000
χ634-4-444i−4i−4i4i1-200-12-2-112i−i−ii−2i2i2i−2i0000−3i3i-3300000000000000000000000000003−3−i3i3i3−i3−3300000000
χ644-4-444i−4i−4i4i1-200-12-2-112i−i−ii−2i2i2i−2i0000−3i3i-330000000000000000000000000000−33i3−i3−i3i33−300000000
χ654-4-444i−4i−4i4i4400-4-44-44-44i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ664-4-44−4i4i4i−4i1-200-12-2-112−iii−i2i−2i−2i2i00003i−3i-3300000000000000000000000000003−3i3−i3−i3i3−3300000000
χ674-4-44−4i4i4i−4i1-200-12-2-112−iii−i2i−2i−2i2i00003i−3i-330000000000000000000000000000−33−i3i3i3−i33−300000000
χ684-4-44−4i4i4i−4i1-200-12-2-112−iii−i2i−2i−2i2i0000−3i3i3-300000000000000000000000000003−3i3−i3i3−i33−300000000
χ694-4-44−4i4i4i−4i1-200-12-2-112−iii−i2i−2i−2i2i0000−3i3i3-30000000000000000000000000000−33−i3i3−i3i3−3300000000
χ704-4-44−4i4i4i−4i4400-4-44-44-4−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ7188-8-888-8-82-400244-2-2-422-2-2-4-4440000000000000000000000000000000000000000000000000000
χ7288-8-888-8-8-4200-4-2-2442-4-44422-2-20000000000000000000000000000000000000000000000000000
χ7388-8-8-8-8882-400244-2-2-4-2-22244-4-40000000000000000000000000000000000000000000000000000
χ7488-8-8-8-888-4200-4-2-244244-4-4-2-2220000000000000000000000000000000000000000000000000000
χ758-88-88i−8i8i−8i2-400-2-442-242i−2i2i−2i−4i4i−4i4i0000000000000000000000000000000000000000000000000000
χ768-88-8−8i8i−8i8i2-400-2-442-24−2i2i−2i2i4i−4i4i−4i0000000000000000000000000000000000000000000000000000
χ778-8-888i−8i−8i8i-42004-224-4-2−4i4i4i−4i2i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ788-8-88−8i8i8i−8i-42004-224-4-24i−4i−4i4i−2i2i2i−2i0000000000000000000000000000000000000000000000000000

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