C₂×C₃×D₇×C₂₇₇ #37551675

order	23268
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₂₇₇ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×D₇×C₂₇₇

	subgroup	G/H
center, hypercenter	C₂×C₃×C₂₇₇	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₃×C₂₇₇
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₇×C₂₇₇	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₃×C₂₇₇

40 conjugacy classes of subgroups.

μ_t(G) = 11634

8310 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23268, 71);