C₄₇×#61471 #26101169

order	12032
nilpotency class	3
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄₇ · Schur multiplier (H₂) = C₂⁸

Aliases

	subgroup	G/H
center, socle	C₂²×C₄₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₄₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄₇ ◁ C₄₇×#529 ◁ G

1910 conjugacy classes of subgroups.

2726 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 54459);