C₂×C₃²×C₁₇×C₇⋊D₇ #44473012

order	29988
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₁₇ · Schur multiplier (H₂) = C₂×C₃×C₇

Aliases

C₂×C₃²×C₁₇×C₇⋊D₇

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₁₇	C₇⋊D₇
commutator, cosocle, hypocenter	C₇²	C₂²×C₃²×C₁₇
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₇²×C₁₇	C₂
LCS	G ▷ C₇²
UCS	C₁ ◁ C₂×C₃²×C₁₇

600 conjugacy classes of subgroups.

μ_t(G) = 14994

7956 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29988, 653);