genus 2: |G| = 16, class 3, exponent 8, abelianisation [2, 2], |Z(G)| = 2, |G'| = 4, elements by order {1: 1, 2: 5, 4: 6, 8: 4}, Action is reflexibl
genus 3: |G| = 32, class 3, exponent 8, abelianisation [2, 4], |Z(G)| = 4, |G'| = 4, elements by order {1: 1, 2: 7, 4: 16, 8: 8}, Action is reflexibl
genus 3: |G| = 32, class 3, exponent 8, abelianisation [2, 4], |Z(G)| = 4, |G'| = 4, elements by order {1: 1, 2: 11, 4: 12, 8: 8}, Action is reflexibl
genus 5: |G| = 64, class 4, exponent 8, abelianisation [2, 4], |Z(G)| = 2, |G'| = 8, elements by order {1: 1, 2: 19, 4: 28, 8: 16}, Action is reflexibl
genus 5: |G| = 64, class 3, exponent 8, abelianisation [2, 4], |Z(G)| = 4, |G'| = 8, elements by order {1: 1, 2: 15, 4: 32, 8: 16}, Action is reflexibl
genus 9: |G| = 128, class 5, exponent 8, abelianisation [2, 4], |Z(G)| = 2, |G'| = 16, elements by order {1: 1, 2: 19, 4: 60, 8: 48}, Action is reflexibl
genus 9: |G| = 128, class 5, exponent 8, abelianisation [2, 4], |Z(G)| = 2, |G'| = 16, elements by order {1: 1, 2: 27, 4: 52, 8: 48}, Action is reflexibl
genus 9: |G| = 128, class 4, exponent 8, abelianisation [2, 4], |Z(G)| = 4, |G'| = 16, elements by order {1: 1, 2: 31, 4: 64, 8: 32}, Action is reflexibl
genus 9: |G| = 128, class 5, exponent 8, abelianisation [2, 4], |Z(G)| = 2, |G'| = 16, elements by order {1: 1, 2: 27, 4: 52, 8: 48}, Action is reflexibl
genus 17: |G| = 256, class 5, exponent 8, abelianisation [2, 4], |Z(G)| = 4, |G'| = 32, elements by order {1: 1, 2: 55, 4: 104, 8: 96}, Action is reflexibl
genus 17: |G| = 256, class 5, exponent 8, abelianisation [2, 4], |Z(G)| = 2, |G'| = 32, elements by order {1: 1, 2: 47, 4: 144, 8: 64}, Action is reflexibl
genus 17: |G| = 256, class 5, exponent 8, abelianisation [2, 4], |Z(G)| = 4, |G'| = 32, elements by order {1: 1, 2: 39, 4: 120, 8: 96}, Action is reflexibl
genus 17: |G| = 256, class 6, exponent 8, abelianisation [2, 4], |Z(G)| = 2, |G'| = 32, elements by order {1: 1, 2: 51, 4: 92, 8: 112}, Action is reflexibl
