Finite Group Databasebeta

← Group #11790013

Character table — Group #11790013

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112244444444444444888888888899991212121212121212181824242424242424242424242436364848484872727272
order12442433446666121212121212612121212121212121222448888888824248824242424242424244461224244488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111-1-111111111111-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111
χ611111111-1-111111111111-1-1-1-11-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ711111111-1-111111111111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-111-1-1
χ811111111-1-111111111111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-111
χ911-1-1-1111i−i1-1-1111-1-1-1-1-1ii−i−i1ii−i−i11-1-1ii−i−i11-1-1-111-1i−iii−i−i11-1-1i−i1-1i−i1-1i−i
χ1011-1-1-1111i−i1-1-1111-1-1-1-1-1ii−i−i1ii−i−i11-1-1ii−i−i11-1-1-11-11−iiii−i−i11-1-1i−i-11−ii-11−ii
χ1111-1-1-1111i−i1-1-1111-1-1-1-1-1ii−i−i1ii−i−i11-1-1−i−iii-1-111-111-1i−i−i−iii-1-111i−i1-1i−i-11−ii
χ1211-1-1-1111i−i1-1-1111-1-1-1-1-1ii−i−i1ii−i−i11-1-1−i−iii-1-111-11-11−ii−i−iii-1-111i−i-11−ii1-1i−i
χ1311-1-1-1111−ii1-1-1111-1-1-1-1-1−i−iii1−i−iii11-1-1ii−i−i-1-111-111-1−iiii−i−i-1-111−ii1-1−ii-11i−i
χ1411-1-1-1111−ii1-1-1111-1-1-1-1-1−i−iii1−i−iii11-1-1ii−i−i-1-111-11-11i−iii−i−i-1-111−ii-11i−i1-1−ii
χ1511-1-1-1111−ii1-1-1111-1-1-1-1-1−i−iii1−i−iii11-1-1−i−iii11-1-1-111-1−ii−i−iii11-1-1−ii1-1−ii1-1−ii
χ1611-1-1-1111−ii1-1-1111-1-1-1-1-1−i−iii1−i−iii11-1-1−i−iii11-1-1-11-11i−i−i−iii11-1-1−ii-11i−i-11i−i
χ17222222222222222222222222222222-2-2-2-200000000-2-2000000000000-2-200000000
χ1822222222-2-222222222222-2-2-2-22-2-2-2-2-2-2-2-200000000-2-20000000000002200000000
χ192222-2-222002-2-22-2-22222-20000-2000022222-22-20000-2-200002-22-200000000000000
χ202222-2-222002-2-22-2-22222-20000-200002222-22-220000-2-20000-22-2200000000000000
χ212222-2-222002-2-22-2-22222-20000-20000-2-2-2-200002i−2i2i−2i22000000002i−2i2i−2i0000000000
χ222222-2-222002-2-22-2-22222-20000-20000-2-2-2-20000−2i2i−2i2i2200000000−2i2i−2i2i0000000000
χ2322-2-22-222002222-2-2-2-2-2-220000-2000022-2-22i−2i−2i2i00002-200002i−2i−2i2i00000000000000
χ2422-2-22-222002222-2-2-2-2-2-220000-2000022-2-2−2i2i2i−2i00002-20000−2i2i2i−2i00000000000000
χ2522-2-22-222002222-2-2-2-2-2-220000-20000-2-22200002i−2i−2i2i-22000000002i−2i−2i2i0000000000
χ2622-2-22-222002222-2-2-2-2-2-220000-20000-2-2220000−2i2i2i−2i-2200000000−2i2i2i−2i0000000000
χ2722-2-2-22222i−2i2-2-2222-2-2-2-2-22i2i−2i−2i22i2i−2i−2i-2-222000000002-2000000000000−2i2i00000000
χ2822-2-2-2222−2i2i2-2-2222-2-2-2-2-2−2i−2i2i2i2−2i−2i2i2i-2-222000000002-20000000000002i−2i00000000
χ294444441-244111-21111-2-2-21111-2-2-2-2-2000022222222000000-1-1-1-1-1-1-1-10000000000
χ304444441-244111-21111-2-2-21111-2-2-2-2-20000-2-2-2-2-2-2-2-2000000111111110000000000
χ314444441-2-4-4111-21111-2-2-2-1-1-1-1-2222200002222-2-2-2-2000000-1-1-1-111110000000000
χ324444441-2-4-4111-21111-2-2-2-1-1-1-1-222220000-2-2-2-222220000001111-1-1-1-10000000000
χ33444444-2144-2-2-21-2-2-2-2111-2-2-2-2111110000000000000022220000000000-1-1-1-10000
χ34444444-2144-2-2-21-2-2-2-2111-2-2-2-21111100000000000000-2-2-2-2000000000011110000
χ35444444-21-4-4-2-2-21-2-2-2-211122221-1-1-1-10000000000000022-2-20000000000-1-1110000
χ36444444-21-4-4-2-2-21-2-2-2-211122221-1-1-1-100000000000000-2-222000000000011-1-10000
χ374444-4-41-2001-1-1-2-1-111-2-223i−3i3i−3i2000000002-22-22i−2i2i−2i000000-11-11−ii−ii0000000000
χ384444-4-41-2001-1-1-2-1-111-2-223i−3i3i−3i200000000-22-22−2i2i−2i2i0000001-11-1i−ii−i0000000000
χ394444-4-41-2001-1-1-2-1-111-2-22−3i3i−3i3i2000000002-22-2−2i2i−2i2i000000-11-11i−ii−i0000000000
χ404444-4-41-2001-1-1-2-1-111-2-22−3i3i−3i3i200000000-22-222i−2i2i−2i0000001-11-1−ii−ii0000000000
χ4144-4-44-41-200111-2-1-1-1-122-23-3-332000000002i−2i−2i2i−2i2i2i−2i000000−iii−ii−i−ii0000000000
χ4244-4-44-41-200111-2-1-1-1-122-23-3-33200000000−2i2i2i−2i2i−2i−2i2i000000i−i−ii−iii−i0000000000
χ4344-4-44-41-200111-2-1-1-1-122-2-333-32000000002i−2i−2i2i2i−2i−2i2i000000−iii−i−iii−i0000000000
χ4444-4-44-41-200111-2-1-1-1-122-2-333-3200000000−2i2i2i−2i−2i2i2i−2i000000i−i−iii−i−ii0000000000
χ4544-4-4-441-24i−4i1-1-1-211-1-1222ii−i−i-2−2i−2i2i2i00002i2i−2i−2i22-2-2000000−i−iii-1-1110000000000
χ4644-4-4-441-24i−4i1-1-1-211-1-1222ii−i−i-2−2i−2i2i2i0000−2i−2i2i2i-2-222000000ii−i−i11-1-10000000000
χ4744-4-4-441-2−4i4i1-1-1-211-1-1222−i−iii-22i2i−2i−2i00002i2i−2i−2i-2-222000000−i−iii11-1-10000000000
χ4844-4-4-441-2−4i4i1-1-1-211-1-1222−i−iii-22i2i−2i−2i0000−2i−2i2i2i22-2-2000000ii−i−i-1-1110000000000
χ4944-4-4-44-214i−4i-2221-2-222-1-1-1−2i−2i2i2i1ii−i−i000000000000002-22i−2i0000000000-11−ii0000
χ5044-4-4-44-214i−4i-2221-2-222-1-1-1−2i−2i2i2i1ii−i−i00000000000000-22−2i2i00000000001-1i−i0000
χ5144-4-4-44-21−4i4i-2221-2-222-1-1-12i2i−2i−2i1−i−iii000000000000002-2−2i2i0000000000-11i−i0000
χ5244-4-4-44-21−4i4i-2221-2-222-1-1-12i2i−2i−2i1−i−iii00000000000000-222i−2i00000000001-1−ii0000
χ534-44i−4i004400-400-4004i−4i4i−4i00000000004-44i−4i00000000000000000000000000000000
χ544-44i−4i004400-400-4004i−4i4i−4i0000000000-44−4i4i00000000000000000000000000000000
χ554-4−4i4i004400-400-400−4i4i−4i4i00000000004-4−4i4i00000000000000000000000000000000
χ564-4−4i4i004400-400-400−4i4i−4i4i0000000000-444i−4i00000000000000000000000000000000
χ578888-8-8-4200-444244-4-422-20000-20000000000000000000000000000000000000000
χ5888-8-88-8-4200-4-4-424444-2-220000-20000000000000000000000000000000000000000
χ598-88i−8i002-400-26-646i−6i2i−2i−4i4i0000000000000000000000000000000000000000000000
χ608-88i−8i002-400-2-664−6i6i2i−2i−4i4i0000000000000000000000000000000000000000000000
χ618-88i−8i00-4200400-200−4i4i2i−2i0000003+3i−3−3i3−3i−3+3i000000000000000000000000000000000000
χ628-88i−8i00-4200400-200−4i4i2i−2i000000−3−3i3+3i−3+3i3−3i000000000000000000000000000000000000
χ638-8−8i8i002-400-26-64−6i6i−2i2i4i−4i0000000000000000000000000000000000000000000000
χ648-8−8i8i002-400-2-6646i−6i−2i2i4i−4i0000000000000000000000000000000000000000000000
χ658-8−8i8i00-4200400-2004i−4i−2i2i0000003−3i−3+3i3+3i−3−3i000000000000000000000000000000000000
χ668-8−8i8i00-4200400-2004i−4i−2i2i000000−3+3i3−3i−3−3i3+3i000000000000000000000000000000000000

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