Finite Group Databasebeta

← Group #11715605

Character table — Group #11715605

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33
size1111226612121212122424242424243232323232323232484848484848
order1222442222444444444366612121212248888
χ1111111111111111111111111111111111
χ2111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ31111-1-111-1-1-1111-111-1-11111-1-1-1-11-111-1-1
χ41111-1-111-1-1-1111-1-1-1111111-1-1-1-1-11-1-111
χ52222222222222220000-1-1-1-1-1-1-1-1000000
χ62222-2-222-2-2-2222-20000-1-1-1-11111000000
χ733333333-1-13-1-1-1-111110000000011-1-1-1-1
χ833333333-1-13-1-1-1-1-1-1-1-100000000-1-11111
χ9333333-1-13-1-13-1-1-1111100000000-1-11-11-1
χ10333333-1-13-1-13-1-1-1-1-1-1-10000000011-11-11
χ11333333-1-1-13-1-13-1-1111100000000-1-1-11-11
χ12333333-1-1-13-1-13-1-1-1-1-1-100000000111-11-1
χ133333-3-33311-3-1-1-1111-1-1000000001-1-1-111
χ143333-3-33311-3-1-1-11-1-11100000000-1111-1-1
χ153333-3-3-1-11-31-13-1111-1-100000000-11-111-1
χ163333-3-3-1-11-31-13-11-1-111000000001-11-1-11
χ173333-3-3-1-1-3113-1-1111-1-100000000-111-1-11
χ183333-3-3-1-1-3113-1-11-1-111000000001-1-111-1
χ1944-4-44i−4i0000000002-22i−2i11-1-1ii−i−i000000
χ2044-4-44i−4i000000000-22−2i2i11-1-1ii−i−i000000
χ2144-4-4−4i4i0000000002-2−2i2i11-1-1−i−iii000000
χ2244-4-4−4i4i000000000-222i−2i11-1-1−i−iii000000
χ234-4-4400-44000000000001-11-13−33−3000000
χ244-4-4400-44000000000001-11-1−33−33000000
χ254-4-4400-4400000000000-22-220000000000
χ26666666-2-2-2-2-2-2-222000000000000000000
χ276666-6-6-2-2222-2-22-2000000000000000000
χ2888-8-88i−8i0000000000000-1-111−i−iii000000
χ2988-8-8−8i8i0000000000000-1-111ii−i−i000000
χ308-88-80000000000000002-2-220000000000
χ318-88-8000000000000000-111-1−i3i3i3−i3000000
χ328-88-8000000000000000-111-1i3−i3−i3i3000000
χ3312-12-1212004-40000000000000000000000000

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