C₂²×C₄×#11764049 #31798024

order	17536
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#11764049
unambiguous semidirect product	#10587739⋊(C₂²×C₈)

Fitting	C₂²×C₄×C₁₃₇ ⋊ C₈
derived, Sylow	C₁₃₇ ⋊ C₂²×C₄×C₈

760 conjugacy classes of subgroups; only the 407 normal subgroups are shown.

normal subgroups only

This group has 760 conjugacy classes of subgroups — too many to draw. Only its 407 normal subgroups are shown.

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

μ_t(G) = 2192

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17536, 21745);