C₄₃×#25757 #24945774

order	11008
nilpotency class	3
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄₃ · Schur multiplier (H₂) = C₂⁶×C₄

Aliases

	subgroup	G/H
center, socle	C₂³×C₄₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₃
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₄₃ ◁ C₂×C₄×D₄×C₄₃ ◁ G

2134 conjugacy classes of subgroups.

2236 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 18745);