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Abstract group labeling
Label
Description
4.2
Smallest non-cyclic group
6.1
Smallest nonabelian group
10.1
Proper subgroup of automorphism group
12.1
Central cover of $S_3$
12.3
Rotations of a tetrahedron
18.3
Smaller automorphism group
18.4
Cyclic center, no faithful irrep
24.12
Octahedral group
60.5
First nonsolvable group
64.116
Miller group
96.3
One of the smallest groups with commutator length bigger than 1
96.203
One of the smallest groups with commutator length bigger than 1
120.35
Full icosahedral group
128.1820
Every automorphism central
168.42
Automorphism group of Klein quartic
336.210
No outer automorphisms, not complete
360.118
Alternating group with extra outer automorphisms
432.734
Solvable length 5