census (2,4,8) kernels of order 16(g-1) by order: {16: 1, 32: 2, 64: 2, 128: 4}
index 2^1=2: 2-quotients 3 (max dim of child space 2); smooth kernels 0, reflexible 0, chiral 0, up to reflection 0; in census 0; not in census 0; genus -; 0.0s
index 2^2=4: 2-quotients 3 (max dim of child space 2); smooth kernels 0, reflexible 0, chiral 0, up to reflection 0; in census 0; not in census 0; genus -; 0.0s
index 2^3=8: 2-quotients 3 (max dim of child space 2); smooth kernels 0, reflexible 0, chiral 0, up to reflection 0; in census 0; not in census 0; genus -; 0.0s
index 2^4=16: 2-quotients 3 (max dim of child space 2); smooth kernels 1, reflexible 1, chiral 0, up to reflection 1; in census 1; not in census 0; genus 2; 0.0s
index 2^5=32: 2-quotients 3 (max dim of child space 2); smooth kernels 2, reflexible 2, chiral 0, up to reflection 2; in census 2; not in census 0; genus 3; 0.0s
index 2^6=64: 2-quotients 3 (max dim of child space 2); smooth kernels 2, reflexible 2, chiral 0, up to reflection 2; in census 2; not in census 0; genus 5; 0.0s
index 2^7=128: 2-quotients 5 (max dim of child space 2); smooth kernels 4, reflexible 4, chiral 0, up to reflection 4; in census 4; not in census 0; genus 9; 0.0s
