C₂×C₁₃×D₇×C₆₇ #37567233

order	24388
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃×C₆₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₃×D₇×C₆₇
unambiguous semidirect product	C₇⋊(C₂²×C₁₃×C₆₇)
unambiguous semidirect product	(C₂×C₇)⋊(C₂×C₁₃×C₆₇)

	subgroup	G/H
center, hypercenter	C₂×C₁₃×C₆₇	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₁₃×C₆₇
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₁₃×C₆₇	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₁₃×C₆₇

40 conjugacy classes of subgroups.

μ_t(G) = 12194

8710 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24388, 24);