Finite Group Databasebeta

← Group #11774694

Character table — Group #11774694

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order1222444433446666661212121212121212121212121212121222224444224444446666888812121212242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111
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
χ91111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111i−ii−i-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−ii−ii-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i1111ii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii1111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1i−i−ii-1-111ii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1−iii−i-1-111−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111i−i−ii11-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111−iii−i11-1-1−i−iiiii−i−iii−i−i−i−iii
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-20000000022-2-222-2-20000000000000000000000000000
χ192222-2-2-2-2222-2222222-2-2-2-2-2-2-2-22222-2-2-2-200000000-2-2-2-222220000000000000000000000000000
χ202222-2-2-2-222-22222222-2-2-2-2-2-2-2-2-2-2-2-222220000000022-2-2-2-2220000000000000000000000000000
χ2122-2-22i2i−2i−2i22002-2-22-2-22i2i−2i−2i2i2i−2i−2i00000000002-2002i−2i002-2002i−2i002-20000002i−2i0000000000000000
χ2222-2-22i2i−2i−2i22002-2-22-2-22i2i−2i−2i2i2i−2i−2i0000000000-2200−2i2i002-2002i−2i00-22000000−2i2i0000000000000000
χ2322-2-22i2i−2i−2i22002-2-22-2-22i2i−2i−2i2i2i−2i−2i000000002-2002i−2i0000-2200−2i2i2-20000002i−2i000000000000000000
χ2422-2-22i2i−2i−2i22002-2-22-2-22i2i−2i−2i2i2i−2i−2i00000000-2200−2i2i0000-2200−2i2i-22000000−2i2i000000000000000000
χ2522-2-2−2i−2i2i2i22002-2-22-2-2−2i−2i2i2i−2i−2i2i2i00000000002-200−2i2i002-200−2i2i002-2000000−2i2i0000000000000000
χ2622-2-2−2i−2i2i2i22002-2-22-2-2−2i−2i2i2i−2i−2i2i2i0000000000-22002i−2i002-200−2i2i00-220000002i−2i0000000000000000
χ2722-2-2−2i−2i2i2i22002-2-22-2-2−2i−2i2i2i−2i−2i2i2i000000002-200−2i2i0000-22002i−2i2-2000000−2i2i000000000000000000
χ2822-2-2−2i−2i2i2i22002-2-22-2-2−2i−2i2i2i−2i−2i2i2i00000000-22002i−2i0000-22002i−2i-220000002i−2i000000000000000000
χ292-22-22i−2i2i−2i2200-22-2-22-22i−2i2i−2i2i−2i2i−2i00000000000000002-2002i−2i00000000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i
χ302-22-22i−2i2i−2i2200-22-2-22-22i−2i2i−2i2i−2i2i−2i00000000000000002-2002i−2i0000000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i
χ312-22-22i−2i2i−2i2200-22-2-22-22i−2i2i−2i2i−2i2i−2i0000000000000000-2200−2i2i00000000000000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i
χ322-22-22i−2i2i−2i2200-22-2-22-22i−2i2i−2i2i−2i2i−2i0000000000000000-2200−2i2i0000000000000000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i
χ332-22-2−2i2i−2i2i2200-22-2-22-2−2i2i−2i2i−2i2i−2i2i00000000000000002-200−2i2i00000000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i
χ342-22-2−2i2i−2i2i2200-22-2-22-2−2i2i−2i2i−2i2i−2i2i00000000000000002-200−2i2i0000000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i
χ352-22-2−2i2i−2i2i2200-22-2-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000-22002i−2i00000000000000000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i
χ362-22-2−2i2i−2i2i2200-22-2-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000-22002i−2i0000000000000000000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i
χ37444444441-244111-2-2-2-2-2-2-2111111-2-211-2-20000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ38444444441-244111-2-2-2-2-2-2-2111111-2-211-2-200000000000000000000-2-2-2-200001111111100000000
χ39444444441-2-4-4111-2-2-2-2-2-2-21111-1-122-1-1220000000000000000000022-2-20000-1-1-1-1111100000000
χ40444444441-2-4-4111-2-2-2-2-2-2-21111-1-122-1-12200000000000000000000-2-22200001111-1-1-1-100000000
χ4144444444-2144-2-2-21111111-2-2-2-2-2-211-2-2112222222200000000-1-1-1-10000-1-1-1-10000000000000000
χ4244444444-2144-2-2-21111111-2-2-2-2-2-211-2-211-2-2-2-2-2-2-2-2000000001111000011110000000000000000
χ4344444444-21-4-4-2-2-21111111-2-2-2-222-1-122-1-122-2-222-2-200000000-1-1110000-1-1110000000000000000
χ4444444444-21-4-4-2-2-21111111-2-2-2-222-1-122-1-1-2-222-2-2220000000011-1-1000011-1-10000000000000000
χ454444-4-4-4-41-24-4111-2-2-22222-1-1-1-111-2-2-1-122000000000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ464444-4-4-4-41-24-4111-2-2-22222-1-1-1-111-2-2-1-12200000000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ474444-4-4-4-41-2-44111-2-2-22222-1-1-1-1-1-12211-2-2000000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ484444-4-4-4-41-2-44111-2-2-22222-1-1-1-1-1-12211-2-200000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ494444-4-4-4-4-214-4-2-2-2111-1-1-1-12222-2-21122-1-12222-2-2-2-200000000-1-1-1-1000011110000000000000000
χ504444-4-4-4-4-214-4-2-2-2111-1-1-1-12222-2-21122-1-1-2-2-2-222220000000011110000-1-1-1-10000000000000000
χ514444-4-4-4-4-21-44-2-2-2111-1-1-1-1222222-1-1-2-21122-2-2-2-22200000000-1-111000011-1-10000000000000000
χ524444-4-4-4-4-21-44-2-2-2111-1-1-1-1222222-1-1-2-211-2-22222-2-20000000011-1-10000-1-1110000000000000000
χ5344-4-44i4i−4i−4i-2100-2221-1-1ii−i−i−2i−2i2i2i003-3003i−3i2-22-22i−2i2i−2i00000000-11-110000−ii−ii0000000000000000
χ5444-4-44i4i−4i−4i-2100-2221-1-1ii−i−i−2i−2i2i2i003-3003i−3i-22-22−2i2i−2i2i000000001-11-10000i−ii−i0000000000000000
χ5544-4-44i4i−4i−4i-2100-2221-1-1ii−i−i−2i−2i2i2i00-3300−3i3i2-2-222i−2i−2i2i00000000-111-10000−iii−i0000000000000000
χ5644-4-44i4i−4i−4i-2100-2221-1-1ii−i−i−2i−2i2i2i00-3300−3i3i-222-2−2i2i2i−2i000000001-1-110000i−i−ii0000000000000000
χ5744-4-4−4i−4i4i4i-2100-2221-1-1−i−iii2i2i−2i−2i003-300−3i3i2-22-2−2i2i−2i2i00000000-11-110000i−ii−i0000000000000000
χ5844-4-4−4i−4i4i4i-2100-2221-1-1−i−iii2i2i−2i−2i003-300−3i3i-22-222i−2i2i−2i000000001-11-10000−ii−ii0000000000000000
χ5944-4-4−4i−4i4i4i-2100-2221-1-1−i−iii2i2i−2i−2i00-33003i−3i2-2-22−2i2i2i−2i00000000-111-10000i−i−ii0000000000000000
χ6044-4-4−4i−4i4i4i-2100-2221-1-1−i−iii2i2i−2i−2i00-33003i−3i-222-22i−2i−2i2i000000001-1-110000−iii−i0000000000000000
χ614-4-444-4-441-200-1-1122-2-222-21-1-113i−3i003i−3i000000000000000000000000000000−i3i3−i3i33−33−300000000
χ624-4-444-4-441-200-1-1122-2-222-21-1-113i−3i003i−3i000000000000000000000000000000i3−i3i3−i3−33−3300000000
χ634-4-444-4-441-200-1-1122-2-222-21-1-11−3i3i00−3i3i000000000000000000000000000000−i3i3−i3i3−33−3300000000
χ644-4-444-4-441-200-1-1122-2-222-21-1-11−3i3i00−3i3i000000000000000000000000000000i3−i3i3−i33−33−300000000
χ654-4-444-4-444400-4-44-4-444-4-444-4-440000000000000000000000000000000000000000000000000000
χ664-4-44-444-41-200-1-1122-22-2-22-111-13i−3i00−3i3i0000000000000000000000000000003−3−33i3−i3−i3i300000000
χ674-4-44-444-41-200-1-1122-22-2-22-111-13i−3i00−3i3i000000000000000000000000000000−333−3−i3i3i3−i300000000
χ684-4-44-444-41-200-1-1122-22-2-22-111-1−3i3i003i−3i0000000000000000000000000000003−3−33−i3i3i3−i300000000
χ694-4-44-444-41-200-1-1122-22-2-22-111-1−3i3i003i−3i000000000000000000000000000000−333−3i3−i3−i3i300000000
χ704-4-44-444-44400-4-44-4-44-444-4-444-40000000000000000000000000000000000000000000000000000
χ7188-8-88i8i−8i−8i2-4002-2-2-444−4i−4i4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ7288-8-8−8i−8i8i8i2-4002-2-2-4444i4i−4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ738-88-88i−8i8i−8i2-400-22-24-44−4i4i−4i4i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ748-88-88i−8i8i−8i-42004-44-22-22i−2i2i−2i−4i4i−4i4i0000000000000000000000000000000000000000000000000000
χ758-88-8−8i8i−8i8i2-400-22-24-444i−4i4i−4i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ768-88-8−8i8i−8i8i-42004-44-22-2−2i2i−2i2i4i−4i4i−4i0000000000000000000000000000000000000000000000000000
χ778-8-888-8-88-420044-4-2-222-2-22-444-40000000000000000000000000000000000000000000000000000
χ788-8-88-888-8-420044-4-2-22-222-24-4-440000000000000000000000000000000000000000000000000000

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