C₅×D₇×C₁₆₃⋊C₃ #46803843

order	34230
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅ · Schur multiplier (H₂) = C₁

Aliases

C₅×D₇×C₁₆₃⋊C₃

	subgroup	G/H
center, hypercenter	C₅	D₇×C₁₆₃⋊C₃
commutator, cosocle, hypocenter	C₇×C₁₆₃	C₂×C₃×C₅
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₆₃	C₂×C₃
LCS	G ▷ C₇×C₁₆₃
UCS	C₁ ◁ C₅

32 conjugacy classes of subgroups.

μ_t(G) = 5705

1425 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34230, 25);