Finite Group Databasebeta

← Group #11714232

Character table — Group #11714232

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111166666666121212121212121212122424242424242424242432323232323232324848
order12224444444444442444444444248888888836661212121288
χ11111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1
χ31111-1-1-1-11111-1-1-1-1-11iiii−i−i−i−i-11iiii−i−i−i−i1111-1-1-1-1i−i
χ41111-1-1-1-11111-1-1-1-1-11−i−i−i−iiiii-11−i−i−i−iiiii1111-1-1-1-1−ii
χ5222222222222222222000000002200000000-1-1-1-1-1-1-1-100
χ62222-2-2-2-22222-2-2-2-2-2200000000-2200000000-1-1-1-1111100
χ722-2-22i−2i2i−2i002-2002i−2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i00001+i−1−i001−i−1+i-11-11ii−i−i00
χ822-2-22i−2i2i−2i002-2002i−2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000−1−i1+i00−1+i1−i-11-11ii−i−i00
χ922-2-2−2i2i−2i2i002-200−2i2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i00001−i−1+i001+i−1−i-11-11−i−iii00
χ1022-2-2−2i2i−2i2i002-200−2i2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000−1+i1−i00−1−i1+i-11-11−i−iii00
χ112-22-22i−2i−2i2i2-2002i−2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i001−i−1+i001+i−1−i00-1-111i−ii−i00
χ122-22-22i−2i−2i2i2-2002i−2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−1+i1−i00−1−i1+i00-1-111i−ii−i00
χ132-22-2−2i2i2i−2i2-200−2i2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i001+i−1−i001−i−1+i00-1-111−ii−ii00
χ142-22-2−2i2i2i−2i2-200−2i2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−1−i1+i00−1+i1−i00-1-111−ii−ii00
χ153333333333-1-133-1-1-1-111111111-1-111-1-111-1-100000000-1-1
χ163333333333-1-133-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1110000000011
χ1733333333-1-133-1-133-1-111111111-1-1-1-111-1-11100000000-1-1
χ1833333333-1-133-1-133-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-10000000011
χ1933333333-1-1-1-1-1-1-1-13311111111-1-1-1-1-1-1-1-1-1-10000000011
χ2033333333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-11111111100000000-1-1
χ213333-3-3-3-333-1-1-3-3111-1iiii−i−i−i−i1-1ii−i−i−i−iii00000000−ii
χ223333-3-3-3-333-1-1-3-3111-1−i−i−i−iiiii1-1−i−iiiii−i−i00000000i−i
χ233333-3-3-3-3-1-13311-3-31-1iiii−i−i−i−i1-1−i−iiiii−i−i00000000−ii
χ243333-3-3-3-3-1-13311-3-31-1−i−i−i−iiiii1-1ii−i−i−i−iii00000000i−i
χ253333-3-3-3-3-1-1-1-11111-33iiii−i−i−i−i1-1−i−i−i−iiiii00000000i−i
χ263333-3-3-3-3-1-1-1-11111-33−i−i−i−iiiii1-1iiii−i−i−i−i00000000−ii
χ2744-4-44i−4i4i−4i004-4004i−4i000000000000000000001-11-1−i−iii00
χ2844-4-4−4i4i−4i4i004-400−4i4i000000000000000000001-11-1ii−i−i00
χ294-44-44i−4i−4i4i4-4004i−4i000000000000000000000011-1-1−ii−ii00
χ304-44-4−4i4i4i−4i4-400−4i4i000000000000000000000011-1-1i−ii−i00
χ314-4-4444-4-400000000002i−2i−2i2i−2i2i2i−2i00000000001-1-111-1-1100
χ324-4-4444-4-40000000000−2i2i2i−2i2i−2i−2i2i00000000001-1-111-1-1100
χ334-4-44-4-44400000000002-2-222-2-2200000000001-1-11-111-100
χ344-4-44-4-4440000000000-222-2-222-200000000001-1-11-111-100
χ3566666666-2-2-2-2-2-2-2-2-2-20000000022000000000000000000
χ366666-6-6-6-6-2-2-2-222222-200000000-22000000000000000000
χ3766-6-66i−6i6i−6i00-2200−2i2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000−1−i1+i00−1+i1−i0000000000
χ3866-6-66i−6i6i−6i00-2200−2i2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i00001+i−1−i001−i−1+i0000000000
χ3966-6-6−6i6i−6i6i00-22002i−2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000−1+i1−i00−1−i1+i0000000000
χ4066-6-6−6i6i−6i6i00-22002i−2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i00001−i−1+i001+i−1−i0000000000
χ416-66-66i−6i−6i6i-2200−2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i00−1+i1−i00−1−i1+i000000000000
χ426-66-66i−6i−6i6i-2200−2i2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i001−i−1+i001+i−1−i000000000000
χ436-66-6−6i6i6i−6i-22002i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i00−1−i1+i00−1+i1−i000000000000
χ446-66-6−6i6i6i−6i-22002i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i001+i−1−i001−i−1+i000000000000
χ458-8-8888-8-80000000000000000000000000000-111-1-111-100
χ468-8-88-8-8880000000000000000000000000000-111-11-1-1100

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