C₂×C₈×#14524194 #46831129

order	34624
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₈ · Schur multiplier (H₂) = C₂²×C₄

Aliases

Fitting	C₂×C₈×C₅₄₁ ⋊ C₄
derived, Sylow	C₅₄₁ ⋊ C₂×C₄×C₈

162 conjugacy classes of subgroups.

μ_t(G) = 8656

2224 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34624, 1503);