Finite Group Databasebeta

← Group #11715610

Character table — Group #11715610

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33
size1111226612121212122424242424243232323232323232484848484848
order1222442244444444444366612121212448888
χ1111111111111111111111111111111111
χ2111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ31111-1-111-1-1-111-1111-1-11111-1-1-1-11-111-1-1
χ41111-1-111-1-1-111-11-1-1111111-1-1-1-1-11-1-111
χ52222222222222220000-1-1-1-1-1-1-1-1000000
χ62222-2-222-2-2-222-220000-1-1-1-11111000000
χ7333333333-1-1-1-1-1-111110000000011-1-1-1-1
χ8333333333-1-1-1-1-1-1-1-1-1-100000000-1-11111
χ9333333-1-1-13-13-1-1-1111100000000-1-11-11-1
χ10333333-1-1-13-13-1-1-1-1-1-1-10000000011-11-11
χ11333333-1-1-1-13-13-1-1111100000000-1-1-11-11
χ12333333-1-1-1-13-13-1-1-1-1-1-100000000111-11-1
χ133333-3-333-311-1-11-111-1-1000000001-1-1-111
χ143333-3-333-311-1-11-1-1-11100000000-1111-1-1
χ153333-3-3-1-111-3-131-111-1-100000000-11-111-1
χ163333-3-3-1-111-3-131-1-1-111000000001-11-1-11
χ173333-3-3-1-11-313-11-111-1-100000000-111-1-11
χ183333-3-3-1-11-313-11-1-1-111000000001-1-111-1
χ194-44-4004-4000000000001-1-11−i3−i3i3i3000000
χ204-44-4004-4000000000001-1-11i3i3−i3−i3000000
χ214-44-4004-400000000000-222-20000000000
χ224-4-444i−4i0000000002i−2i2-211-1-1i−ii−i000000
χ234-4-444i−4i000000000−2i2i-2211-1-1i−ii−i000000
χ244-4-44−4i4i0000000002i−2i-2211-1-1−ii−ii000000
χ254-4-44−4i4i000000000−2i2i2-211-1-1−ii−ii000000
χ26666666-2-2-2-2-2-2-222000000000000000000
χ276666-6-6-2-2222-2-2-22000000000000000000
χ2888-8-80000000000000002-22-20000000000
χ2988-8-8000000000000000-11-113−3−33000000
χ3088-8-8000000000000000-11-11−333−3000000
χ318-8-888i−8i0000000000000-1-111−ii−ii000000
χ328-8-88−8i8i0000000000000-1-111i−ii−i000000
χ3312-1212-1200-440000000000000000000000000

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