D₄×Q₈×C₄₈₇ #44528731

order	31168
nilpotency class	2
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄₈₇ · Schur multiplier (H₂) = C₂⁵

Aliases

D₄×Q₈×C₄₈₇

	subgroup	G/H
center, socle	C₂²×C₄₈₇	C₂⁴
commutator, Frattini, cosocle	C₂²	C₂⁴×C₄₈₇
prime radical	C₂×D₄×C₄₈₇	C₂²
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄₈₇ ◁ G

280 conjugacy classes of subgroups.

μ_t(G) = 15584

12175 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31168, 230);