C₄×C₂²⋊#11744762 #28407709

order	14464
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₈ · Schur multiplier (H₂) = C₂³×C₄

Aliases

direct product	C₄×C₂²⋊#11744762
unambiguous semidirect product	#90673⋊(C₂²⋊C₈)

Fitting	C₂²×C₄×C₁₁₃ ⋊ C₈
Sylow	C₁₁₃ ⋊ C₄×C₂²⋊C₈

436 conjugacy classes of subgroups; only the 133 normal subgroups are shown.

normal subgroups only

This group has 436 conjugacy classes of subgroups — too many to draw. Only its 133 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

μ_t(G) = 1808

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 21645);