Finite Group Databasebeta

← Group #11870830

Character table — Group #11870830

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order12224444334466666612121212121212121212121212121212444444442244444444441212121212121212121212121212121288888888
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1111-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111-11-1111-1-111-1-1-1-111-1-111-1-111-1-111
χ111111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111-11-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ121111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-11-11-1-111-1-111-1-111-1-11111-1-111-1-1
χ131111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1111-1-11-1-11111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000000000000000
χ192222-2-2-2-2222-2222222-2-2-2-2-2-2-2-22222-2-2-2-200000000-2-22222-2-20000000000000000000000000000
χ202222-2-2-2-222-22222222-2-2-2-2-2-2-2-2-2-2-2-222220000000022-2-222-2-20000000000000000000000000000
χ2122-2-222-2-2220022-2-2-2-22222-2-2-2-200000000000000002-22-20000000000000000000000002−22−22−22−2
χ2222-2-222-2-2220022-2-2-2-22222-2-2-2-200000000000000002-22-2000000000000000000000000−22−22−22−22
χ2322-2-222-2-2220022-2-2-2-22222-2-2-2-20000000000000000-22-220000000000000000000000002−22−2−22−22
χ2422-2-222-2-2220022-2-2-2-22222-2-2-2-20000000000000000-22-22000000000000000000000000−22−222−22−2
χ2522-2-2-2-222220022-2-2-2-2-2-2-2-2222200000000000000002-2-220000000000000000000000002−2−222−2−22
χ2622-2-2-2-222220022-2-2-2-2-2-2-2-2222200000000000000002-2-22000000000000000000000000−222−2−222−2
χ2722-2-2-2-222220022-2-2-2-2-2-2-2-222220000000000000000-222-20000000000000000000000002−2−22−222−2
χ2822-2-2-2-222220022-2-2-2-2-2-2-2-222220000000000000000-222-2000000000000000000000000−222−22−2−22
χ292-22-22i−2i2i−2i2200-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000002-22i−2i00002i−2i2-2000000002-22i−2i0000000000000000
χ302-22-22i−2i2i−2i2200-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000-22−2i2i00002i−2i2-200000000-22−2i2i0000000000000000
χ312-22-22i−2i2i−2i2200-2-222-2-22i2i−2i−2i2i2i−2i−2i000000002-22i−2i00000000−2i2i-2200002-22i−2i00000000000000000000
χ322-22-22i−2i2i−2i2200-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000-22−2i2i00000000−2i2i-220000-22−2i2i00000000000000000000
χ332-22-2−2i2i−2i2i2200-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000002-2−2i2i0000−2i2i2-2000000002-2−2i2i0000000000000000
χ342-22-2−2i2i−2i2i2200-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000-222i−2i0000−2i2i2-200000000-222i−2i0000000000000000
χ352-22-2−2i2i−2i2i2200-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000002-2−2i2i000000002i−2i-2200002-2−2i2i00000000000000000000
χ362-22-2−2i2i−2i2i2200-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000-222i−2i000000002i−2i-220000-222i−2i00000000000000000000
χ37444444441-2441-21-21-21-21-21-21-211-2-211-2-20000000000000000222200000000-1-1-1-1-1-1-1-100000000
χ38444444441-2441-21-21-21-21-21-21-211-2-211-2-20000000000000000-2-2-2-2000000001111111100000000
χ39444444441-2-4-41-21-21-21-21-21-21-2-1-122-1-122000000000000000022-2-200000000-1-1-1-1111100000000
χ40444444441-2-4-41-21-21-21-21-21-21-2-1-122-1-1220000000000000000-2-222000000001111-1-1-1-100000000
χ4144444444-2144-21-21-21-21-21-21-21-2-211-2-21122222222000000000000-1-1-1-1-1-1-1-10000000000000000
χ4244444444-2144-21-21-21-21-21-21-21-2-211-2-211-2-2-2-2-2-2-2-2000000000000111111110000000000000000
χ4344444444-21-4-4-21-21-21-21-21-21-2122-1-122-1-12222-2-2-2-2000000000000-1-1-1-111110000000000000000
χ4444444444-21-4-4-21-21-21-21-21-21-2122-1-122-1-1-2-2-2-222220000000000001111-1-1-1-10000000000000000
χ454444-4-4-4-41-24-41-21-21-2-12-12-12-1211-2-2-1-12200000000000000002-22-200000000-1-111-1-11100000000
χ464444-4-4-4-41-24-41-21-21-2-12-12-12-1211-2-2-1-1220000000000000000-22-220000000011-1-111-1-100000000
χ474444-4-4-4-41-2-441-21-21-2-12-12-12-12-1-12211-2-200000000000000002-2-2200000000-1-11111-1-100000000
χ484444-4-4-4-41-2-441-21-21-2-12-12-12-12-1-12211-2-20000000000000000-222-20000000011-1-1-1-11100000000
χ494444-4-4-4-4-214-4-21-21-212-12-12-12-1-2-21122-1-122-2-222-2-2000000000000-1-111-1-1110000000000000000
χ504444-4-4-4-4-214-4-21-21-212-12-12-12-1-2-21122-1-1-2-222-2-22200000000000011-1-111-1-10000000000000000
χ514444-4-4-4-4-21-44-21-21-212-12-12-12-122-1-1-2-21122-2-2-2-222000000000000-1-11111-1-10000000000000000
χ524444-4-4-4-4-21-44-21-21-212-12-12-12-122-1-1-2-211-2-22222-2-200000000000011-1-1-1-1110000000000000000
χ534-44-44i−4i4i−4i-21002-1-212-1−2ii2i−i−2ii2i−i003-3003i−3i2-22i−2i2-22i−2i000000000000-11−ii-11−ii0000000000000000
χ544-44-44i−4i4i−4i-21002-1-212-1−2ii2i−i−2ii2i−i003-3003i−3i-22−2i2i-22−2i2i0000000000001-1i−i1-1i−i0000000000000000
χ554-44-44i−4i4i−4i-21002-1-212-1−2ii2i−i−2ii2i−i00-3300−3i3i2-22i−2i-22−2i2i000000000000-11−ii1-1i−i0000000000000000
χ564-44-44i−4i4i−4i-21002-1-212-1−2ii2i−i−2ii2i−i00-3300−3i3i-22−2i2i2-22i−2i0000000000001-1i−i-11−ii0000000000000000
χ574-44-4−4i4i−4i4i-21002-1-212-12i−i−2ii2i−i−2ii003-300−3i3i2-2−2i2i2-2−2i2i000000000000-11i−i-11i−i0000000000000000
χ584-44-4−4i4i−4i4i-21002-1-212-12i−i−2ii2i−i−2ii003-300−3i3i-222i−2i-222i−2i0000000000001-1−ii1-1−ii0000000000000000
χ594-44-4−4i4i−4i4i-21002-1-212-12i−i−2ii2i−i−2ii00-33003i−3i2-2−2i2i-222i−2i000000000000-11i−i1-1−ii0000000000000000
χ604-44-4−4i4i−4i4i-21002-1-212-12i−i−2ii2i−i−2ii00-33003i−3i-222i−2i2-2−2i2i0000000000001-1−ii-11i−i0000000000000000
χ614-4-444i−4i−4i4i1-200-12-121-2i−2i−i2i−i2ii−2i3i−3i003-30000000000000000000000000000003−3−i3i3−i3i33−300000000
χ624-4-444i−4i−4i4i1-200-12-121-2i−2i−i2i−i2ii−2i3i−3i003-3000000000000000000000000000000−33i3−i3i3−i3−3300000000
χ634-4-444i−4i−4i4i1-200-12-121-2i−2i−i2i−i2ii−2i−3i3i00-330000000000000000000000000000003−3−i3i3i3−i3−3300000000
χ644-4-444i−4i−4i4i1-200-12-121-2i−2i−i2i−i2ii−2i−3i3i00-33000000000000000000000000000000−33i3−i3−i3i33−300000000
χ654-4-444i−4i−4i4i4400-4-4-4-4444i4i−4i−4i−4i−4i4i4i0000000000000000000000000000000000000000000000000000
χ664-4-44−4i4i4i−4i1-200-12-121-2−i2ii−2ii−2i−i2i3i−3i00-330000000000000000000000000000003−3i3−i3−i3i3−3300000000
χ674-4-44−4i4i4i−4i1-200-12-121-2−i2ii−2ii−2i−i2i3i−3i00-33000000000000000000000000000000−33−i3i3i3−i33−300000000
χ684-4-44−4i4i4i−4i1-200-12-121-2−i2ii−2ii−2i−i2i−3i3i003-30000000000000000000000000000003−3i3−i3i3−i33−300000000
χ694-4-44−4i4i4i−4i1-200-12-121-2−i2ii−2ii−2i−i2i−3i3i003-3000000000000000000000000000000−33−i3i3−i3i3−3300000000
χ704-4-44−4i4i4i−4i4400-4-4-4-444−4i−4i4i4i4i4i−4i−4i0000000000000000000000000000000000000000000000000000
χ7188-8-888-8-82-4002-4-24-242-42-4-24-240000000000000000000000000000000000000000000000000000
χ7288-8-888-8-8-4200-424-24-2-42-424-24-20000000000000000000000000000000000000000000000000000
χ7388-8-8-8-8882-4002-4-24-24-24-242-42-40000000000000000000000000000000000000000000000000000
χ7488-8-8-8-888-4200-424-24-24-24-2-42-420000000000000000000000000000000000000000000000000000
χ758-88-88i−8i8i−8i2-400-242-4-242i−4i−2i4i2i−4i−2i4i0000000000000000000000000000000000000000000000000000
χ768-88-8−8i8i−8i8i2-400-242-4-24−2i4i2i−4i−2i4i2i−4i0000000000000000000000000000000000000000000000000000
χ778-8-888i−8i−8i8i-42004-24-2-42−4i2i4i−2i4i−2i−4i2i0000000000000000000000000000000000000000000000000000
χ788-8-88−8i8i8i−8i-42004-24-2-424i−2i−4i2i−4i2i4i−2i0000000000000000000000000000000000000000000000000000

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