C₂×C₃²×D₃×#41 #13181720

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₃² · Schur multiplier (H₂) = C₂⁹×C₃

Aliases

C₂×C₃²×D₃×#41

Fitting	C₂×C₃³×#41 ⋊ C₂
Sylow	C₃³ ⋊ C₂²×#41

5996 conjugacy classes of subgroups.

μ_t(G) = 288

540 conjugacy classes. The character table is too large to display.

maximal subgroup of	C₂×D₃×#41×C₃⋊D₃
maximal normal subgroup of	C₂×D₃×#41×C₃⋊D₃

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 47783);