C₂₃×D₆₇₃ #44526313

order	30958
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂₃×D₆₇₃
unambiguous semidirect product	C₆₇₃⋊(C₂×C₂₃)

Fitting, socle, Hall	C₂₃×C₆₇₃ ⋊ C₂
derived, Sylow	C₆₇₃ ⋊ C₂×C₂₃

	subgroup	G/H
center, hypercenter	C₂₃	D₆₇₃
commutator, cosocle, hypocenter	C₆₇₃	C₂×C₂₃
Frattini	C₁	G
Fitting, socle	C₂₃×C₆₇₃	C₂
LCS	G ▷ C₆₇₃
UCS	C₁ ◁ C₂₃

8 conjugacy classes of subgroups.

μ_t(G) = 15479

7774 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30958, 2);