C₄×#17986624 #32156604

order	18176
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁸

Aliases

Fitting	C₄×C₂²⋊Q₈×C₇₁ ⋊ C₂
Sylow	C₇₁ ⋊ C₄×#543

2602 conjugacy classes of subgroups.

μ_t(G) = 4544

2048 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18176, 328720);