Finite Group Databasebeta

← Group #11871309

Character table — Group #11871309

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444444448888888888121212121212121218181818181818182424242424242424242424244848484872727272
order12224433446666661212121212121212121212121212222244442244444422446666121212126612128888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111-11-111-1-111-1-11-11-111-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-11-1111-1-111-1-1-11-11-1-111
χ711111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-11-1-1-111-1-1111-11-1-1-111
χ811111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-11-11-1-111-1-111-11-1111-1-1
χ91111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-11-1-111-11-1
χ101111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-111-11111-1-1-1-1-111-1-11-11
χ111111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11-1-1-1-111111-1-11-11-11
χ121111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-1-1-1-11111-111-11-11-1
χ131111-1-111-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-11-1-11
χ141111-1-111-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-111-111-1
χ151111-1-111-11111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-111-1
χ161111-1-111-11111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1111-1-11
χ1722222222222222222222222222222200000000-2-2-2-2-2-2-2-200000000000000000000
χ1822222222-2-2222222222222-2-2-2-2-2-2-2-20000000022-2-222-2-200000000000000000000
χ192222-2-2222-2222222-2-2-2-2-2-22222-2-2-2-200000000-2-22222-2-200000000000000000000
χ202222-2-222-22222222-2-2-2-2-2-2-2-2-2-22222000000002222-2-2-2-200000000000000000000
χ2122-2-22i−2i220022-2-2-2-22i2i−2i−2i2i−2i00000000002-2002i−2i002i−2i002-20000002-2002i−2i00000000
χ2222-2-22i−2i220022-2-2-2-22i2i−2i−2i2i−2i0000000000-2200−2i2i002i−2i002-2000000-2200−2i2i00000000
χ2322-2-22i−2i220022-2-2-2-22i2i−2i−2i2i−2i000000002-2002i−2i0000−2i2i00-2200002-2002i−2i0000000000
χ2422-2-22i−2i220022-2-2-2-22i2i−2i−2i2i−2i00000000-2200−2i2i0000−2i2i00-220000-2200−2i2i0000000000
χ2522-2-2−2i2i220022-2-2-2-2−2i−2i2i2i−2i2i00000000002-200−2i2i00−2i2i002-20000002-200−2i2i00000000
χ2622-2-2−2i2i220022-2-2-2-2−2i−2i2i2i−2i2i0000000000-22002i−2i00−2i2i002-2000000-22002i−2i00000000
χ2722-2-2−2i2i220022-2-2-2-2−2i−2i2i2i−2i2i000000002-200−2i2i00002i−2i00-2200002-200−2i2i0000000000
χ2822-2-2−2i2i220022-2-2-2-2−2i−2i2i2i−2i2i00000000-22002i−2i00002i−2i00-220000-22002i−2i0000000000
χ294444441-2441-21-21-21111-2-211-2-211-2-222222222000000000000-1-1-1-1-1-1-1-100000000
χ304444441-2441-21-21-21111-2-211-2-211-2-2-2-2-2-2-2-2-2-20000000000001111111100000000
χ314444441-2-4-41-21-21-21111-2-2-1-122-1-12222-2-222-2-2000000000000-1-111-1-11100000000
χ324444441-2-4-41-21-21-21111-2-2-1-122-1-122-2-222-2-22200000000000011-1-111-1-100000000
χ33444444-2144-21-21-21-2-2-2-211-2-211-2-2110000000000000000222200000000-1-1-1-10000
χ34444444-2144-21-21-21-2-2-2-211-2-211-2-2110000000000000000-2-2-2-20000000011110000
χ35444444-21-4-4-21-21-21-2-2-2-21122-1-122-1-100000000000000002-22-200000000-11-110000
χ36444444-21-4-4-21-21-21-2-2-2-21122-1-122-1-10000000000000000-22-22000000001-11-10000
χ374444-4-41-24-41-21-21-2-1-1-1-12211-2-2-1-1222222-2-2-2-2000000000000-1-1-1-1111100000000
χ384444-4-41-24-41-21-21-2-1-1-1-12211-2-2-1-122-2-2-2-222220000000000001111-1-1-1-100000000
χ394444-4-41-2-441-21-21-2-1-1-1-122-1-12211-2-222-2-2-2-222000000000000-1-11111-1-100000000
χ404444-4-41-2-441-21-21-2-1-1-1-122-1-12211-2-2-2-22222-2-200000000000011-1-1-1-11100000000
χ414444-4-4-214-4-21-21-212222-1-1-2-21122-1-100000000000000002-2-2200000000-111-10000
χ424444-4-4-214-4-21-21-212222-1-1-2-21122-1-10000000000000000-222-2000000001-1-110000
χ434444-4-4-21-44-21-21-212222-1-122-1-1-2-211000000000000000022-2-200000000-1-1110000
χ444444-4-4-21-44-21-21-212222-1-122-1-1-2-2110000000000000000-2-2220000000011-1-10000
χ4544-4-44i−4i1-2001-2-12-12ii−i−i−2i2i3-3003i−3i002-22-22i−2i2i−2i000000000000-11-11−ii−ii00000000
χ4644-4-44i−4i1-2001-2-12-12ii−i−i−2i2i3-3003i−3i00-22-22−2i2i−2i2i0000000000001-11-1i−ii−i00000000
χ4744-4-44i−4i1-2001-2-12-12ii−i−i−2i2i-3300−3i3i002-2-222i−2i−2i2i000000000000-111-1−iii−i00000000
χ4844-4-44i−4i1-2001-2-12-12ii−i−i−2i2i-3300−3i3i00-222-2−2i2i2i−2i0000000000001-1-11i−i−ii00000000
χ4944-4-4−4i4i1-2001-2-12-12−i−iii2i−2i3-300−3i3i002-22-2−2i2i−2i2i000000000000-11-11i−ii−i00000000
χ5044-4-4−4i4i1-2001-2-12-12−i−iii2i−2i3-300−3i3i00-22-222i−2i2i−2i0000000000001-11-1−ii−ii00000000
χ5144-4-4−4i4i1-2001-2-12-12−i−iii2i−2i-33003i−3i002-2-22−2i2i2i−2i000000000000-111-1i−i−ii00000000
χ5244-4-4−4i4i1-2001-2-12-12−i−iii2i−2i-33003i−3i00-222-22i−2i−2i2i0000000000001-1-11−iii−i00000000
χ534-44-4004400-4-4-444-4000000000000000000000000004-40000000000000000000000
χ544-44-4004400-4-4-444-400000000000000000000000000-440000000000000000000000
χ554-4-44004400-4-44-4-4400000000000000000000004-400000000000000000000000000
χ564-4-44004400-4-44-4-440000000000000000000000-4400000000000000000000000000
χ5788-8-88i−8i-4200-424-24-2−4i−4i4i4i2i−2i00000000000000000000000000000000000000000000
χ5888-8-8−8i8i-4200-424-24-24i4i−4i−4i−2i2i00000000000000000000000000000000000000000000
χ598-88-8002-400-24-2-4246-66-60000000000000000000000000000000000000000000000
χ608-88-8002-400-24-2-424-66-660000000000000000000000000000000000000000000000
χ618-88-800-42004-242-4-2000000006i−6i0000000000000000000000000000000000000000
χ628-88-800-42004-242-4-200000000−6i6i0000000000000000000000000000000000000000
χ638-8-88002-400-2424-2-46i−6i−6i6i0000000000000000000000000000000000000000000000
χ648-8-88002-400-2424-2-4−6i6i6i−6i0000000000000000000000000000000000000000000000
χ658-8-8800-42004-2-4-2420000000000006-6000000000000000000000000000000000000
χ668-8-8800-42004-2-4-242000000000000-66000000000000000000000000000000000000

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