C₂²×C₂²⋊#11744762 #28407810

order	14464
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁷

Aliases

direct product	C₂²×C₂²⋊#11744762
unambiguous semidirect product	(C₂×#11744762)⋊C₂³

Fitting	C₂⁴×C₁₁₃ ⋊ C₈
Sylow	C₁₁₃ ⋊ C₂²×C₂²⋊C₈

1072 conjugacy classes of subgroups; only the 287 normal subgroups are shown.

normal subgroups only

This group has 1072 conjugacy classes of subgroups — too many to draw. Only its 287 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, 21746);