C₂²×C₁₃⋊C₃×C₆₇⋊C₃ #44535748

order	31356
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃² · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂²×C₁₃⋊C₃×C₆₇⋊C₃

	subgroup	G/H
center, hypercenter	C₂²	C₁₃⋊C₃×C₆₇⋊C₃
commutator, cosocle, hypocenter	C₁₃×C₆₇	C₂²×C₃²
Frattini	C₁	G
Fitting, socle	C₂²×C₁₃×C₆₇	C₃²
LCS	G ▷ C₁₃×C₆₇
UCS	C₁ ◁ C₂²

120 conjugacy classes of subgroups.

μ_t(G) = 3484

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31356, 184);