C₂×Q₈×#14524194 #46831240

order	34624
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₂×Q₈×#14524194
unambiguous semidirect product	D₅₄₁⋊(C₄×Q₈)

Fitting	C₂×Q₈×C₅₄₁ ⋊ C₄
Sylow	C₅₄₁ ⋊ C₂×C₄×Q₈

298 conjugacy classes of subgroups.

μ_t(G) = 8656

1390 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34624, 1614);