C₂×C₃×C₂₃×D₇₉ #36345533

order	21804
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₂₃ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×C₂₃×D₇₉

	subgroup	G/H
center, hypercenter	C₂×C₃×C₂₃	D₇₉
commutator, cosocle, hypocenter	C₇₉	C₂²×C₃×C₂₃
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₂₃×C₇₉	C₂
LCS	G ▷ C₇₉
UCS	C₁ ◁ C₂×C₃×C₂₃

40 conjugacy classes of subgroups.

μ_t(G) = 10902

5658 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21804, 28);