C₂×C₃²×C₁₃×C₇⋊D₇ #37525672

order	22932
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₁₃ · Schur multiplier (H₂) = C₂×C₃×C₇

Aliases

C₂×C₃²×C₁₃×C₇⋊D₇

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₁₃	C₇⋊D₇
commutator, cosocle, hypocenter	C₇²	C₂²×C₃²×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₇²×C₁₃	C₂
LCS	G ▷ C₇²
UCS	C₁ ◁ C₂×C₃²×C₁₃

600 conjugacy classes of subgroups.

μ_t(G) = 11466

6084 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22932, 1617);