C₃×D₇×D₃₇₉ #44541505

order	31836
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₇×D₃₇₉

	subgroup	G/H
center, hypercenter	C₃	D₇×D₃₇₉
commutator, cosocle, hypocenter	C₇×C₃₇₉	C₂²×C₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₃₇₉	C₂²
LCS	G ▷ C₇×C₃₇₉
UCS	C₁ ◁ C₃

40 conjugacy classes of subgroups.

μ_t(G) = 7959

2865 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31836, 57);