C₈×(C₂²⋊D₇)⋊C₄ #13352105

order	1792
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

Fitting	C₇×C₈×C₂²⋊C₄ ⋊ C₂
Sylow	C₇ ⋊ C₄×C₈×D₄

1422 conjugacy classes of subgroups.

μ_t(G) = 896

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1792, 167877);